TSTP Solution File: ITP269_2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP269_2 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:12:35 EDT 2024

% Result   : Theorem 7.61s 2.16s
% Output   : Refutation 7.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      : 6044
% Syntax   : Number of formulae    : 6835 (1569 unt;5261 typ;   0 def)
%            Number of atoms       : 1579 ( 256 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  19   ~;   0   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :   21 (   2 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  : 9236 (4733   >;4503   *;   0   +;   0  <<)
%            Number of predicates  :  922 ( 920 usr;   1 prp; 0-9 aty)
%            Number of functors    : 4330 (4330 usr;  62 con; 0-10 aty)
%            Number of variables   : 5507 (   0   !;   0   ?;5507   :)
%                                         (5507  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

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

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

tff(type_def_11,type,
    sum_sum: ( $tType * $tType ) > $tType ).

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

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

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

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

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

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

tff(type_def_18,type,
    set: $tType > $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,
    fun: ( $tType * $tType ) > $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] : fun(X0,X1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_885,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_886,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_887,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_888,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_889,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_890,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_891,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_892,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_893,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_894,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_895,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_896,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_897,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_903,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_904,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_905,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_906,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_907,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_908,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_909,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_910,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_911,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_912,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_913,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_914,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_915,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_916,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_917,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_918,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_919,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_920,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_921,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_922,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_923,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_924,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_925,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_926,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_927,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_928,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_929,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_930,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_931,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_932,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).

tff(func_def_933,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_934,type,
    bit_concat_bit: ( nat * int ) > fun(int,int) ).

tff(func_def_935,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_936,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_937,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_938,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_939,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_940,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_941,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_942,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_943,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_944,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_945,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_946,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_947,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_948,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,bool) ) ).

tff(func_def_949,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_950,type,
    bit_un1837492267222099188nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_951,type,
    bit_un6178654185764691216or_num: fun(num,fun(num,option(num))) ).

tff(func_def_952,type,
    bit_un7362597486090784418nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_953,type,
    bit_un2480387367778600638or_num: fun(num,fun(num,option(num))) ).

tff(func_def_954,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

tff(func_def_955,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

tff(func_def_956,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_957,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,bool) ).

tff(func_def_958,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_959,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_960,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_961,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_962,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_963,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_964,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_965,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_966,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_967,type,
    arg: complex > real ).

tff(func_def_968,type,
    cis: real > complex ).

tff(func_def_969,type,
    cnj: complex > complex ).

tff(func_def_970,type,
    complex2: ( real * real ) > complex ).

tff(func_def_971,type,
    im: complex > real ).

tff(func_def_972,type,
    re: complex > real ).

tff(func_def_973,type,
    csqrt: complex > complex ).

tff(func_def_974,type,
    imaginary_unit: complex ).

tff(func_def_975,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_976,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_977,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_978,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_979,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_980,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_981,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_982,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_983,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_984,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_985,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_986,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_987,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_988,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_989,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_990,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_991,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_992,type,
    finite_finite: 
      !>[X0: $tType] : fun(set(X0),bool) ).

tff(func_def_993,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_994,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_995,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_996,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_997,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_998,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_999,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1000,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).

tff(func_def_1001,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1002,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1003,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1004,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1005,type,
    sgn_sgn: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1006,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1007,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1008,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1009,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),X1) ) ).

tff(func_def_1010,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1011,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1012,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1013,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).

tff(func_def_1014,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1015,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1016,type,
    the: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1017,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1018,type,
    if: 
      !>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).

tff(func_def_1019,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1020,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1021,type,
    nat2: int > nat ).

tff(func_def_1022,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1023,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1024,type,
    ring_1_of_int: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1025,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1026,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1027,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),X0) ) ).

tff(func_def_1028,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),X0) ) ).

tff(func_def_1029,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1030,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1031,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1032,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1033,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1034,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1035,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1036,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1037,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1038,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1039,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1040,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1041,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_1042,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1043,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1044,type,
    filter2: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(list(X0),list(X0)) ) ).

tff(func_def_1045,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > option(X0) ) ).

tff(func_def_1046,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1047,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1048,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1049,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1050,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1051,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1052,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1053,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X1,X0),fun(X1,fun(list(X1),list(X1)))) ) ).

tff(func_def_1054,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X1,X0),fun(set(X1),list(X1))) ) ).

tff(func_def_1055,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1056,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_1057,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_1058,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_1059,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1060,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) ) > fun(list(X1),X0) ) ).

tff(func_def_1061,type,
    hd: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1062,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_1063,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1064,type,
    size_list: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(list(X0),nat) ) ).

tff(func_def_1065,type,
    tl: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1066,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1067,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1068,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1069,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(list(X0),fun(list(X1),bool)) ) ).

tff(func_def_1070,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_1071,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_1072,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1073,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1074,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),bool)) ).

tff(func_def_1075,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1076,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1077,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1078,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1079,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1080,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1081,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1082,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1083,type,
    remdups_adj_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),bool)) ).

tff(func_def_1084,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1085,type,
    removeAll: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1086,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1087,type,
    rev: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1088,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1089,type,
    rotate1: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1090,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1091,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1092,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1093,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1094,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_1095,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1096,type,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),bool)) ).

tff(func_def_1097,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1098,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1099,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1100,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1101,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).

tff(func_def_1102,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1103,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1104,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1105,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1106,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1107,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1108,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1109,type,
    suc: fun(nat,nat) ).

tff(func_def_1110,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1111,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1112,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1113,type,
    pred: nat > nat ).

tff(func_def_1114,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1115,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,bool) ) ).

tff(func_def_1116,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1117,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1118,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1119,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1120,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),bool)) ).

tff(func_def_1121,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1122,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).

tff(func_def_1123,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1124,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1125,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1126,type,
    nat_triangle: nat > nat ).

tff(func_def_1127,type,
    root: nat > fun(real,real) ).

tff(func_def_1128,type,
    sqrt: fun(real,real) ).

tff(func_def_1129,type,
    bitM: num > num ).

tff(func_def_1130,type,
    inc: num > num ).

tff(func_def_1131,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1132,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1133,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1134,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1135,type,
    bit0: fun(num,num) ).

tff(func_def_1136,type,
    bit1: fun(num,num) ).

tff(func_def_1137,type,
    one2: num ).

tff(func_def_1138,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1139,type,
    size_num: num > nat ).

tff(func_def_1140,type,
    num_of_nat: nat > num ).

tff(func_def_1141,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1142,type,
    pow: ( num * num ) > num ).

tff(func_def_1143,type,
    pred_numeral: num > nat ).

tff(func_def_1144,type,
    sqr: num > num ).

tff(func_def_1145,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1146,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1147,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1148,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1149,type,
    size_option: 
      !>[X0: $tType] : ( ( fun(X0,nat) * option(X0) ) > nat ) ).

tff(func_def_1150,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1151,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1152,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1153,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1154,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1155,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1156,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1157,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1158,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1159,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_1160,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_1161,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1162,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1163,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1164,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1165,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1166,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1167,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1168,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1169,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_1170,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1171,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1172,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1173,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1174,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1175,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1176,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1177,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1178,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1179,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1180,type,
    id: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1181,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1182,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_1183,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1184,type,
    dvd_dvd: 
      !>[X0: $tType] : ( ( X0 * X0 ) > bool ) ).

tff(func_def_1185,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1186,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun(bool,X0) ).

tff(func_def_1187,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1188,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,bool),set(X0)) ).

tff(func_def_1189,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1190,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1191,type,
    insert: 
      !>[X0: $tType] : ( X0 > fun(set(X0),set(X0)) ) ).

tff(func_def_1192,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1193,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1194,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1195,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1196,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1197,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1198,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1199,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1200,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1201,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1202,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1203,type,
    ascii_of: char > char ).

tff(func_def_1204,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1205,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1206,type,
    integer_of_char: char > code_integer ).

tff(func_def_1207,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1208,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1209,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1210,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1211,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1212,type,
    arccos: fun(real,real) ).

tff(func_def_1213,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1214,type,
    arcsin: fun(real,real) ).

tff(func_def_1215,type,
    arctan: fun(real,real) ).

tff(func_def_1216,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1217,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1218,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1219,type,
    cos_coeff: nat > real ).

tff(func_def_1220,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1221,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1222,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1223,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1224,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1225,type,
    log: real > fun(real,real) ).

tff(func_def_1226,type,
    pi: real ).

tff(func_def_1227,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1228,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1229,type,
    sin_coeff: nat > real ).

tff(func_def_1230,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1231,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1232,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1233,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1234,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1235,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1236,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1237,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1238,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1239,type,
    vEBT_V8194947554948674370ptions: fun(vEBT_VEBT,fun(nat,bool)) ).

tff(func_def_1240,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1241,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1242,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1243,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1244,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1245,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1246,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1247,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,bool)) ).

tff(func_def_1248,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1249,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1250,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1251,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1252,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1253,type,
    vEBT_VEBT_minNull: vEBT_VEBT > bool ).

tff(func_def_1254,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).

tff(func_def_1255,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1256,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,bool) ).

tff(func_def_1257,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1258,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1259,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > bool ).

tff(func_def_1260,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > bool ).

tff(func_def_1261,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1262,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1263,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1264,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1265,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).

tff(func_def_1266,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1267,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).

tff(func_def_1268,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1269,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1270,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1271,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).

tff(func_def_1272,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_1273,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1274,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1275,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1276,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1277,type,
    chains: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1278,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1279,type,
    fAll: 
      !>[X0: $tType] : ( fun(X0,bool) > bool ) ).

tff(func_def_1280,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1281,type,
    fEx: 
      !>[X0: $tType] : fun(fun(X0,bool),bool) ).

tff(func_def_1282,type,
    fFalse: bool ).

tff(func_def_1283,type,
    fNot: fun(bool,bool) ).

tff(func_def_1284,type,
    fTrue: bool ).

tff(func_def_1285,type,
    fconj: ( bool * bool ) > bool ).

tff(func_def_1286,type,
    fdisj: ( bool * bool ) > bool ).

tff(func_def_1287,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_1288,type,
    fimplies: fun(bool,fun(bool,bool)) ).

tff(func_def_1289,type,
    member: 
      !>[X0: $tType] : fun(X0,fun(set(X0),bool)) ).

tff(func_def_1290,type,
    deg: nat ).

tff(func_def_1291,type,
    lx: nat ).

tff(func_def_1292,type,
    m: nat ).

tff(func_def_1293,type,
    ma: nat ).

tff(func_def_1294,type,
    mi: nat ).

tff(func_def_1295,type,
    na: nat ).

tff(func_def_1296,type,
    summary: vEBT_VEBT ).

tff(func_def_1297,type,
    summin: nat ).

tff(func_def_1298,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1299,type,
    xa: nat ).

tff(func_def_1300,type,
    sK692: nat ).

tff(func_def_1301,type,
    sK693: nat ).

tff(func_def_1302,type,
    sK694: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1303,type,
    sK695: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1304,type,
    sK696: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1305,type,
    sK697: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1306,type,
    sK698: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1307,type,
    sK699: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1308,type,
    sK700: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1309,type,
    sK701: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1310,type,
    sK702: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1311,type,
    sK703: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1312,type,
    sK704: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1313,type,
    sK705: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1314,type,
    sK706: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1315,type,
    sK707: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1316,type,
    sK708: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1317,type,
    sK709: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1318,type,
    sK710: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1319,type,
    sK711: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1320,type,
    sK712: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1321,type,
    sK713: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1322,type,
    sK714: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1323,type,
    sK715: 
      !>[X0: $tType] : ( ( fun(int,bool) * X0 ) > int ) ).

tff(func_def_1324,type,
    sK716: 
      !>[X0: $tType] : ( ( fun(int,bool) * X0 ) > int ) ).

tff(func_def_1325,type,
    sK717: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1326,type,
    sK718: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1327,type,
    sK719: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1328,type,
    sK720: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1329,type,
    sK721: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1330,type,
    sK722: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1331,type,
    sK723: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1332,type,
    sK724: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1333,type,
    sK725: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1334,type,
    sK726: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * real ) > X0 ) ).

tff(func_def_1335,type,
    sK727: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * real ) > X0 ) ).

tff(func_def_1336,type,
    sK728: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > real ) ).

tff(func_def_1337,type,
    sK729: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1338,type,
    sK730: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_1339,type,
    sK731: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_1340,type,
    sK732: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_1341,type,
    sK733: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1342,type,
    sK734: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1343,type,
    sK735: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1344,type,
    sK736: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1345,type,
    sK737: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1346,type,
    sK738: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1347,type,
    sK739: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1348,type,
    sK740: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1349,type,
    sK741: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1350,type,
    sK742: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1351,type,
    sK743: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1352,type,
    sK744: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1353,type,
    sK745: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1354,type,
    sK746: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1355,type,
    sK747: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1356,type,
    sK748: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > fun(product_prod(X0,X0),bool) ) ).

tff(func_def_1357,type,
    sK749: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > fun(product_prod(X0,X0),bool) ) ).

tff(func_def_1358,type,
    sK750: 
      !>[X0: $tType] : ( set(X0) > fun(product_prod(X0,X0),bool) ) ).

tff(func_def_1359,type,
    sK751: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1360,type,
    sK752: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),bool) ) > set(X0) ) ).

tff(func_def_1361,type,
    sK753: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).

tff(func_def_1362,type,
    sK754: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),bool) ) ).

tff(func_def_1363,type,
    sK755: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1364,type,
    sK756: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1365,type,
    sK757: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),bool) ) > nat ) ).

tff(func_def_1366,type,
    sK758: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_1367,type,
    sK759: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_1368,type,
    sK760: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1369,type,
    sK761: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1370,type,
    sK762: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1371,type,
    sK763: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1372,type,
    sK764: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1373,type,
    sK765: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1374,type,
    sK766: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_1375,type,
    sK767: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_1376,type,
    sK768: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1377,type,
    sK769: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1378,type,
    sK770: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1379,type,
    sK771: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1380,type,
    sK772: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1381,type,
    sK773: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1382,type,
    sK774: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1383,type,
    sK775: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1384,type,
    sK776: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1385,type,
    sK777: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1386,type,
    sK778: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1387,type,
    sK779: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1388,type,
    sK780: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1389,type,
    sK781: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1390,type,
    sK782: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1391,type,
    sK783: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1392,type,
    sK784: 
      !>[X0: $tType] : ( ( set(X0) * real ) > X0 ) ).

tff(func_def_1393,type,
    sK785: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > real ) ).

tff(func_def_1394,type,
    sK786: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1395,type,
    sK787: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_1396,type,
    sK788: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1397,type,
    sK789: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * real ) > X0 ) ).

tff(func_def_1398,type,
    sK790: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > real ) ).

tff(func_def_1399,type,
    sK791: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > real ) ).

tff(func_def_1400,type,
    sK792: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1401,type,
    sK793: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * real ) > nat ) ).

tff(func_def_1402,type,
    sK794: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_1403,type,
    sK795: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1404,type,
    sK796: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_1405,type,
    sK797: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_1406,type,
    sK798: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_1407,type,
    sK799: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * set(X0) ) > real ) ).

tff(func_def_1408,type,
    sK800: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_1409,type,
    sK801: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * set(X0) ) > real ) ).

tff(func_def_1410,type,
    sK802: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1411,type,
    sK803: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1412,type,
    sK804: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1413,type,
    sK805: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1414,type,
    sK806: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1415,type,
    sK807: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1416,type,
    sK808: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_1417,type,
    sK809: 
      !>[X0: $tType] : ( ( fun(nat,complex) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1418,type,
    sK810: fun(nat,complex) > nat ).

tff(func_def_1419,type,
    sK811: fun(nat,complex) > nat ).

tff(func_def_1420,type,
    sK812: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1421,type,
    sK813: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1422,type,
    sK814: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_1423,type,
    sK815: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_1424,type,
    sK816: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > fun(X0,X0) ) ).

tff(func_def_1425,type,
    sK817: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_1426,type,
    sK818: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1427,type,
    sK819: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1428,type,
    sK820: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * set(X0) * real * fun(X0,X0) ) > X0 ) ).

tff(func_def_1429,type,
    sK821: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1430,type,
    sK822: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1431,type,
    sK823: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1432,type,
    sK824: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1433,type,
    sK825: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1434,type,
    sK826: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1435,type,
    sK827: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1436,type,
    sK828: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1437,type,
    sK829: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1438,type,
    sK830: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1439,type,
    sK831: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1440,type,
    sK832: 
      !>[X0: $tType] : ( ( fun(X0,bool) * real ) > X0 ) ).

tff(func_def_1441,type,
    sK833: 
      !>[X0: $tType] : ( fun(X0,bool) > real ) ).

tff(func_def_1442,type,
    sK834: 
      !>[X0: $tType] : ( ( fun(X0,bool) * real ) > X0 ) ).

tff(func_def_1443,type,
    sK835: 
      !>[X0: $tType] : ( fun(X0,bool) > real ) ).

tff(func_def_1444,type,
    sK836: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1445,type,
    sK837: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1446,type,
    sK838: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_1447,type,
    sK839: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1448,type,
    sK840: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1449,type,
    sK841: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_1450,type,
    sK842: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1451,type,
    sK843: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1452,type,
    sK844: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1453,type,
    sK845: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1454,type,
    sK846: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1455,type,
    sK847: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1456,type,
    sK848: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1457,type,
    sK849: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_1458,type,
    sK850: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_1459,type,
    sK851: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1460,type,
    sK852: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_1461,type,
    sK853: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1462,type,
    sK854: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1463,type,
    sK855: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1464,type,
    sK856: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_1465,type,
    sK857: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_1466,type,
    sK858: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1467,type,
    sK859: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_1468,type,
    sK860: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_1469,type,
    sK861: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1470,type,
    sK862: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_1471,type,
    sK863: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1472,type,
    sK864: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1473,type,
    sK865: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1474,type,
    sK866: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1475,type,
    sK867: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1476,type,
    sK868: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1477,type,
    sK869: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1478,type,
    sK870: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1479,type,
    sK871: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1480,type,
    sK872: 
      !>[X0: $tType] : ( fun(X0,bool) > bool ) ).

tff(func_def_1481,type,
    sK873: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1482,type,
    sK874: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1483,type,
    sK875: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1484,type,
    sK876: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1485,type,
    sK877: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1486,type,
    sK878: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1487,type,
    sK879: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1488,type,
    sK880: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1489,type,
    sK881: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1490,type,
    sK882: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1491,type,
    sK883: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1492,type,
    sK884: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1493,type,
    sK885: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1494,type,
    sK886: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1495,type,
    sK887: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_1496,type,
    sK888: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).

tff(func_def_1497,type,
    sK889: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1498,type,
    sK890: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1499,type,
    sK891: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_1500,type,
    sK892: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1501,type,
    sK893: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1502,type,
    sK894: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1503,type,
    sK895: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1504,type,
    sK896: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1505,type,
    sK897: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1506,type,
    sK898: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1507,type,
    sK899: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1508,type,
    sK900: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1509,type,
    sK901: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1510,type,
    sK902: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1511,type,
    sK903: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1512,type,
    sK904: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1513,type,
    sK905: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1514,type,
    sK906: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_1515,type,
    sK907: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_1516,type,
    sK908: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_1517,type,
    sK909: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_1518,type,
    sK910: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real * X0 ) > real ) ).

tff(func_def_1519,type,
    sK911: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_1520,type,
    sK912: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_1521,type,
    sK913: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_1522,type,
    sK914: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_1523,type,
    sK915: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_1524,type,
    sK916: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_1525,type,
    sK917: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > X0 ) ).

tff(func_def_1526,type,
    sK918: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1527,type,
    sK919: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > X0 ) ).

tff(func_def_1528,type,
    sK920: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1529,type,
    sK921: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1530,type,
    sK922: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_1531,type,
    sK923: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_1532,type,
    sK924: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1533,type,
    sK925: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_1534,type,
    sK926: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_1535,type,
    sK927: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1536,type,
    sK928: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1537,type,
    sK929: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1538,type,
    sK930: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1539,type,
    sK931: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1540,type,
    sK932: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1541,type,
    sK933: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1542,type,
    sK934: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1543,type,
    sK935: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1544,type,
    sK936: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1545,type,
    sK937: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1546,type,
    sK938: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1547,type,
    sK939: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > X0 ) ).

tff(func_def_1548,type,
    sK940: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1549,type,
    sK941: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1550,type,
    sK942: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1551,type,
    sK943: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1552,type,
    sK944: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1553,type,
    sK945: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1554,type,
    sK946: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1555,type,
    sK947: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1556,type,
    sK948: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1557,type,
    sK949: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1558,type,
    sK950: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1559,type,
    sK951: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1560,type,
    sK952: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1561,type,
    sK953: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1562,type,
    sK954: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1563,type,
    sK955: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1564,type,
    sK956: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1565,type,
    sK957: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1566,type,
    sK958: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1567,type,
    sK959: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1568,type,
    sK960: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1569,type,
    sK961: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1570,type,
    sK962: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1571,type,
    sK963: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1572,type,
    sK964: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_1573,type,
    sK965: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_1574,type,
    sK966: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1575,type,
    sK967: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1576,type,
    sK968: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1577,type,
    sK969: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1578,type,
    sK970: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1579,type,
    sK971: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1580,type,
    sK972: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1581,type,
    sK973: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_1582,type,
    sK974: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1583,type,
    sK975: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_1584,type,
    sK976: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_1585,type,
    sK977: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1586,type,
    sK978: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_1587,type,
    sK979: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_1588,type,
    sK980: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_1589,type,
    sK981: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_1590,type,
    sK982: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_1591,type,
    sK983: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_1592,type,
    sK984: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_1593,type,
    sK985: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_1594,type,
    sK986: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_1595,type,
    sK987: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > X0 ) ).

tff(func_def_1596,type,
    sK988: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_1597,type,
    sK989: 
      !>[X0: $tType] : ( ( fun(X0,real) * X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_1598,type,
    sK990: 
      !>[X0: $tType] : ( ( X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_1599,type,
    sK991: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1600,type,
    sK992: 
      !>[X0: $tType] : X0 ).

tff(func_def_1601,type,
    sK993: 
      !>[X0: $tType] : X0 ).

tff(func_def_1602,type,
    sK994: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1603,type,
    sK995: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1604,type,
    sK996: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1605,type,
    sK997: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1606,type,
    sK998: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1607,type,
    sK999: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1608,type,
    sK1000: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1609,type,
    sK1001: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1610,type,
    sK1002: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1611,type,
    sK1003: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1612,type,
    sK1004: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1613,type,
    sK1005: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1614,type,
    sK1006: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1615,type,
    sK1007: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1616,type,
    sK1008: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1617,type,
    sK1009: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1618,type,
    sK1010: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1619,type,
    sK1011: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1620,type,
    sK1012: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1621,type,
    sK1013: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1622,type,
    sK1014: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1623,type,
    sK1015: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1624,type,
    sK1016: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1625,type,
    sK1017: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1626,type,
    sK1018: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1627,type,
    sK1019: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1628,type,
    sK1020: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1629,type,
    sK1021: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1630,type,
    sK1022: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1631,type,
    sK1023: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1632,type,
    sK1024: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1633,type,
    sK1025: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1634,type,
    sK1026: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1635,type,
    sK1027: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1636,type,
    sK1028: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1637,type,
    sK1029: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1638,type,
    sK1030: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1639,type,
    sK1031: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1640,type,
    sK1032: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1641,type,
    sK1033: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1642,type,
    sK1034: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1643,type,
    sK1035: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1644,type,
    sK1036: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1645,type,
    sK1037: 
      !>[X0: $tType] : ( fun(set(X0),bool) > X0 ) ).

tff(func_def_1646,type,
    sK1038: 
      !>[X0: $tType] : ( fun(set(X0),bool) > set(X0) ) ).

tff(func_def_1647,type,
    sK1039: 
      !>[X0: $tType] : ( fun(set(X0),bool) > X0 ) ).

tff(func_def_1648,type,
    sK1040: 
      !>[X0: $tType] : ( fun(set(X0),bool) > set(X0) ) ).

tff(func_def_1649,type,
    sK1041: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1650,type,
    sK1042: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1651,type,
    sK1043: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1652,type,
    sK1044: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1653,type,
    sK1045: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1654,type,
    sK1046: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1655,type,
    sK1047: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1656,type,
    sK1048: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1657,type,
    sK1049: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_1658,type,
    sK1050: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_1659,type,
    sK1051: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1660,type,
    sK1052: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1661,type,
    sK1053: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1662,type,
    sK1054: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1663,type,
    sK1055: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1664,type,
    sK1056: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1665,type,
    sK1057: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1666,type,
    sK1058: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1667,type,
    sK1059: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1668,type,
    sK1060: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1669,type,
    sK1061: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_1670,type,
    sK1062: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1671,type,
    sK1063: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1672,type,
    sK1064: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1673,type,
    sK1065: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1674,type,
    sK1066: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1675,type,
    sK1067: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1676,type,
    sK1068: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1677,type,
    sK1069: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1678,type,
    sK1070: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1679,type,
    sK1071: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1680,type,
    sK1072: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1681,type,
    sK1073: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1682,type,
    sK1074: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1683,type,
    sK1075: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1684,type,
    sK1076: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1685,type,
    sK1077: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1686,type,
    sK1078: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1687,type,
    sK1079: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1688,type,
    sK1080: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1689,type,
    sK1081: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1690,type,
    sK1082: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1691,type,
    sK1083: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1692,type,
    sK1084: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1693,type,
    sK1085: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1694,type,
    sK1086: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1695,type,
    sK1087: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1696,type,
    sK1088: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1697,type,
    sK1089: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1698,type,
    sK1090: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1699,type,
    sK1091: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1700,type,
    sK1092: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1701,type,
    sK1093: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1702,type,
    sK1094: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1703,type,
    sK1095: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1704,type,
    sK1096: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1705,type,
    sK1097: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1706,type,
    sK1098: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1707,type,
    sK1099: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1708,type,
    sK1100: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1709,type,
    sK1101: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1710,type,
    sK1102: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_1711,type,
    sK1103: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1712,type,
    sK1104: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1713,type,
    sK1105: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1714,type,
    sK1106: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1715,type,
    sK1107: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1716,type,
    sK1108: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1717,type,
    sK1109: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1718,type,
    sK1110: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1719,type,
    sK1111: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1720,type,
    sK1112: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1721,type,
    sK1113: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1722,type,
    sK1114: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1723,type,
    sK1115: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1724,type,
    sK1116: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1725,type,
    sK1117: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1726,type,
    sK1118: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1727,type,
    sK1119: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1728,type,
    sK1120: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1729,type,
    sK1121: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1730,type,
    sK1122: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1731,type,
    sK1123: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1732,type,
    sK1124: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1733,type,
    sK1125: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1734,type,
    sK1126: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1735,type,
    sK1127: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1736,type,
    sK1128: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1737,type,
    sK1129: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1738,type,
    sK1130: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1739,type,
    sK1131: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1740,type,
    sK1132: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1741,type,
    sK1133: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1742,type,
    sK1134: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1743,type,
    sK1135: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1744,type,
    sK1136: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1745,type,
    sK1137: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1746,type,
    sK1138: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1747,type,
    sK1139: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1748,type,
    sK1140: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1749,type,
    sK1141: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1750,type,
    sK1142: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1751,type,
    sK1143: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1752,type,
    sK1144: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1753,type,
    sK1145: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1754,type,
    sK1146: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1755,type,
    sK1147: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1756,type,
    sK1148: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1757,type,
    sK1149: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1758,type,
    sK1150: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1759,type,
    sK1151: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1760,type,
    sK1152: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1761,type,
    sK1153: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1762,type,
    sK1154: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1763,type,
    sK1155: num > num ).

tff(func_def_1764,type,
    sK1156: num > num ).

tff(func_def_1765,type,
    sK1157: vEBT_VEBT > bool ).

tff(func_def_1766,type,
    sK1158: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1767,type,
    sK1159: vEBT_VEBT > nat ).

tff(func_def_1768,type,
    sK1160: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1769,type,
    sK1161: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1770,type,
    sK1162: vEBT_VEBT > bool ).

tff(func_def_1771,type,
    sK1163: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1772,type,
    sK1164: vEBT_VEBT > nat ).

tff(func_def_1773,type,
    sK1165: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1774,type,
    sK1166: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1775,type,
    sK1167: vEBT_VEBT > bool ).

tff(func_def_1776,type,
    sK1168: vEBT_VEBT > bool ).

tff(func_def_1777,type,
    sK1169: vEBT_VEBT > nat ).

tff(func_def_1778,type,
    sK1170: vEBT_VEBT > nat ).

tff(func_def_1779,type,
    sK1171: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1780,type,
    sK1172: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1781,type,
    sK1173: vEBT_VEBT > nat ).

tff(func_def_1782,type,
    sK1174: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1783,type,
    sK1175: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1784,type,
    sK1176: fun(nat,real) > nat ).

tff(func_def_1785,type,
    sK1177: int > nat ).

tff(func_def_1786,type,
    sK1178: int > nat ).

tff(func_def_1787,type,
    sK1179: nat > nat ).

tff(func_def_1788,type,
    sK1180: nat > nat ).

tff(func_def_1789,type,
    sK1181: nat > nat ).

tff(func_def_1790,type,
    sK1182: nat > nat ).

tff(func_def_1791,type,
    sK1183: vEBT_VEBT > bool ).

tff(func_def_1792,type,
    sK1184: vEBT_VEBT > bool ).

tff(func_def_1793,type,
    sK1185: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1794,type,
    sK1186: vEBT_VEBT > nat ).

tff(func_def_1795,type,
    sK1187: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1796,type,
    sK1188: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1797,type,
    sK1189: vEBT_VEBT > nat ).

tff(func_def_1798,type,
    sK1190: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1799,type,
    sK1191: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1800,type,
    sK1192: vEBT_VEBT > bool ).

tff(func_def_1801,type,
    sK1193: vEBT_VEBT > bool ).

tff(func_def_1802,type,
    sK1194: complex > real ).

tff(func_def_1803,type,
    sK1195: fun(nat,bool) > nat ).

tff(func_def_1804,type,
    sK1196: set(nat) > fun(nat,nat) ).

tff(func_def_1805,type,
    sK1197: fun(nat,real) > nat ).

tff(func_def_1806,type,
    sK1198: fun(nat,real) > nat ).

tff(func_def_1807,type,
    sK1199: fun(nat,real) > nat ).

tff(func_def_1808,type,
    sK1200: fun(nat,real) > nat ).

tff(func_def_1809,type,
    sK1201: fun(nat,real) > nat ).

tff(func_def_1810,type,
    sK1202: fun(nat,real) > nat ).

tff(func_def_1811,type,
    sK1203: int > nat ).

tff(func_def_1812,type,
    sK1204: int > nat ).

tff(func_def_1813,type,
    sK1205: int > nat ).

tff(func_def_1814,type,
    sK1206: int > nat ).

tff(func_def_1815,type,
    sK1207: ( real * real ) > nat ).

tff(func_def_1816,type,
    sK1208: real > real ).

tff(func_def_1817,type,
    sK1209: real > real ).

tff(func_def_1818,type,
    sK1210: real > real ).

tff(func_def_1819,type,
    sK1211: real > nat ).

tff(func_def_1820,type,
    sK1212: real > nat ).

tff(func_def_1821,type,
    sK1213: real > real ).

tff(func_def_1822,type,
    sK1214: nat > nat ).

tff(func_def_1823,type,
    sK1215: fun(nat,real) > fun(nat,int) ).

tff(func_def_1824,type,
    sK1216: real > real ).

tff(func_def_1825,type,
    sK1217: real > real ).

tff(func_def_1826,type,
    sK1218: real > real ).

tff(func_def_1827,type,
    sK1219: product_prod(num,num) > num ).

tff(func_def_1828,type,
    sK1220: product_prod(num,num) > num ).

tff(func_def_1829,type,
    sK1221: product_prod(num,num) > num ).

tff(func_def_1830,type,
    sK1222: product_prod(num,num) > num ).

tff(func_def_1831,type,
    sK1223: product_prod(num,num) > num ).

tff(func_def_1832,type,
    sK1224: product_prod(num,num) > num ).

tff(func_def_1833,type,
    sK1225: product_prod(num,num) > num ).

tff(func_def_1834,type,
    sK1226: product_prod(num,num) > num ).

tff(func_def_1835,type,
    sK1227: product_prod(num,num) > num ).

tff(func_def_1836,type,
    sK1228: product_prod(num,num) > num ).

tff(func_def_1837,type,
    sK1229: product_prod(num,num) > num ).

tff(func_def_1838,type,
    sK1230: product_prod(num,num) > num ).

tff(func_def_1839,type,
    sK1231: nat > nat ).

tff(func_def_1840,type,
    sK1232: nat > nat ).

tff(func_def_1841,type,
    sK1233: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1842,type,
    sK1234: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1843,type,
    sK1235: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > X0 ) ).

tff(func_def_1844,type,
    sK1236: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1845,type,
    sK1237: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > X0 ) ).

tff(func_def_1846,type,
    sK1238: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1847,type,
    sK1239: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_1848,type,
    sK1240: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_1849,type,
    sK1241: 
      !>[X0: $tType] : ( filter(X0) > real ) ).

tff(func_def_1850,type,
    sK1242: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1851,type,
    sK1243: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_1852,type,
    sK1244: 
      !>[X0: $tType] : ( ( filter(X0) * real ) > fun(X0,bool) ) ).

tff(func_def_1853,type,
    sK1245: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_1854,type,
    sK1246: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_1855,type,
    sK1247: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_1856,type,
    sK1248: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_1857,type,
    sK1249: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1858,type,
    sK1250: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1859,type,
    sK1251: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1860,type,
    sK1252: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1861,type,
    sK1253: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1862,type,
    sK1254: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1863,type,
    sK1255: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1864,type,
    sK1256: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1865,type,
    sK1257: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1866,type,
    sK1258: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1867,type,
    sK1259: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1868,type,
    sK1260: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1869,type,
    sK1261: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_1870,type,
    sK1262: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_1871,type,
    sK1263: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1872,type,
    sK1264: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1873,type,
    sK1265: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1874,type,
    sK1266: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1875,type,
    sK1267: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1876,type,
    sK1268: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1877,type,
    sK1269: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1878,type,
    sK1270: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1879,type,
    sK1271: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1880,type,
    sK1272: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_1881,type,
    sK1273: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1882,type,
    sK1274: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1883,type,
    sK1275: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1884,type,
    sK1276: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1885,type,
    sK1277: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_1886,type,
    sK1278: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_1887,type,
    sK1279: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_1888,type,
    sK1280: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1889,type,
    sK1281: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_1890,type,
    sK1282: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1891,type,
    sK1283: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1892,type,
    sK1284: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1893,type,
    sK1285: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1894,type,
    sK1286: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1895,type,
    sK1287: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1896,type,
    sK1288: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1897,type,
    sK1289: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_1898,type,
    sK1290: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1899,type,
    sK1291: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_1900,type,
    sK1292: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1901,type,
    sK1293: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1902,type,
    sK1294: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1903,type,
    sK1295: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1904,type,
    sK1296: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1905,type,
    sK1297: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1906,type,
    sK1298: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1907,type,
    sK1299: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1908,type,
    sK1300: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1909,type,
    sK1301: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1910,type,
    sK1302: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1911,type,
    sK1303: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1912,type,
    sK1304: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1913,type,
    sK1305: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_1914,type,
    sK1306: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_1915,type,
    sK1307: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1916,type,
    sK1308: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1917,type,
    sK1309: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1918,type,
    sK1310: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1919,type,
    sK1311: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_1920,type,
    sK1312: int > nat ).

tff(func_def_1921,type,
    sK1313: int > nat ).

tff(func_def_1922,type,
    sK1314: int > nat ).

tff(func_def_1923,type,
    sK1315: int > nat ).

tff(func_def_1924,type,
    sK1316: nat > nat ).

tff(func_def_1925,type,
    sK1317: nat > nat ).

tff(func_def_1926,type,
    sK1318: fun(nat,real) > real ).

tff(func_def_1927,type,
    sK1319: fun(nat,real) > nat ).

tff(func_def_1928,type,
    sK1320: fun(nat,real) > nat ).

tff(func_def_1929,type,
    sK1321: fun(nat,real) > real ).

tff(func_def_1930,type,
    sK1322: ( fun(nat,real) * nat ) > nat ).

tff(func_def_1931,type,
    sK1323: vEBT_VEBT > nat ).

tff(func_def_1932,type,
    sK1324: vEBT_VEBT > nat ).

tff(func_def_1933,type,
    sK1325: vEBT_VEBT > nat ).

tff(func_def_1934,type,
    sK1326: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1935,type,
    sK1327: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1936,type,
    sK1328: vEBT_VEBT > nat ).

tff(func_def_1937,type,
    sK1329: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1938,type,
    sK1330: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1939,type,
    sK1331: vEBT_VEBT > bool ).

tff(func_def_1940,type,
    sK1332: vEBT_VEBT > bool ).

tff(func_def_1941,type,
    sK1333: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1942,type,
    sK1334: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1943,type,
    sK1335: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1944,type,
    sK1336: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1945,type,
    sK1337: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1946,type,
    sK1338: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1947,type,
    sK1339: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_1948,type,
    sK1340: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1949,type,
    sK1341: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1950,type,
    sK1342: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1951,type,
    sK1343: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_1952,type,
    sK1344: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1953,type,
    sK1345: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1954,type,
    sK1346: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1955,type,
    sK1347: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1956,type,
    sK1348: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1957,type,
    sK1349: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1958,type,
    sK1350: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1959,type,
    sK1351: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1960,type,
    sK1352: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1961,type,
    sK1353: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1962,type,
    sK1354: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1963,type,
    sK1355: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1964,type,
    sK1356: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1965,type,
    sK1357: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1966,type,
    sK1358: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1967,type,
    sK1359: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1968,type,
    sK1360: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1969,type,
    sK1361: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1970,type,
    sK1362: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1971,type,
    sK1363: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1972,type,
    sK1364: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1973,type,
    sK1365: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1974,type,
    sK1366: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1975,type,
    sK1367: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1976,type,
    sK1368: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1977,type,
    sK1369: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1978,type,
    sK1370: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1979,type,
    sK1371: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1980,type,
    sK1372: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1981,type,
    sK1373: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1982,type,
    sK1374: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1983,type,
    sK1375: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1984,type,
    sK1376: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1985,type,
    sK1377: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1986,type,
    sK1378: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1987,type,
    sK1379: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1988,type,
    sK1380: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1989,type,
    sK1381: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1990,type,
    sK1382: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1991,type,
    sK1383: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1992,type,
    sK1384: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_1993,type,
    sK1385: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1994,type,
    sK1386: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1995,type,
    sK1387: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1996,type,
    sK1388: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1997,type,
    sK1389: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1998,type,
    sK1390: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1999,type,
    sK1391: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2000,type,
    sK1392: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2001,type,
    sK1393: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2002,type,
    sK1394: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2003,type,
    sK1395: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2004,type,
    sK1396: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2005,type,
    sK1397: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2006,type,
    sK1398: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2007,type,
    sK1399: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2008,type,
    sK1400: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2009,type,
    sK1401: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2010,type,
    sK1402: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2011,type,
    sK1403: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2012,type,
    sK1404: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2013,type,
    sK1405: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2014,type,
    sK1406: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2015,type,
    sK1407: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2016,type,
    sK1408: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2017,type,
    sK1409: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2018,type,
    sK1410: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2019,type,
    sK1411: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2020,type,
    sK1412: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2021,type,
    sK1413: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2022,type,
    sK1414: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2023,type,
    sK1415: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2024,type,
    sK1416: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2025,type,
    sK1417: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2026,type,
    sK1418: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2027,type,
    sK1419: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2028,type,
    sK1420: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2029,type,
    sK1421: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2030,type,
    sK1422: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2031,type,
    sK1423: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2032,type,
    sK1424: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2033,type,
    sK1425: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2034,type,
    sK1426: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2035,type,
    sK1427: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2036,type,
    sK1428: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2037,type,
    sK1429: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2038,type,
    sK1430: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2039,type,
    sK1431: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2040,type,
    sK1432: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2041,type,
    sK1433: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2042,type,
    sK1434: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2043,type,
    sK1435: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2044,type,
    sK1436: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2045,type,
    sK1437: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2046,type,
    sK1438: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2047,type,
    sK1439: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2048,type,
    sK1440: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2049,type,
    sK1441: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2050,type,
    sK1442: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2051,type,
    sK1443: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2052,type,
    sK1444: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2053,type,
    sK1445: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2054,type,
    sK1446: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2055,type,
    sK1447: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2056,type,
    sK1448: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2057,type,
    sK1449: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2058,type,
    sK1450: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2059,type,
    sK1451: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2060,type,
    sK1452: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2061,type,
    sK1453: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2062,type,
    sK1454: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2063,type,
    sK1455: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2064,type,
    sK1456: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2065,type,
    sK1457: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2066,type,
    sK1458: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2067,type,
    sK1459: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2068,type,
    sK1460: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2069,type,
    sK1461: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2070,type,
    sK1462: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2071,type,
    sK1463: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2072,type,
    sK1464: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2073,type,
    sK1465: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2074,type,
    sK1466: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2075,type,
    sK1467: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2076,type,
    sK1468: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2077,type,
    sK1469: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2078,type,
    sK1470: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2079,type,
    sK1471: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2080,type,
    sK1472: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2081,type,
    sK1473: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2082,type,
    sK1474: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2083,type,
    sK1475: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2084,type,
    sK1476: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2085,type,
    sK1477: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2086,type,
    sK1478: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2087,type,
    sK1479: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2088,type,
    sK1480: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2089,type,
    sK1481: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2090,type,
    sK1482: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2091,type,
    sK1483: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2092,type,
    sK1484: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2093,type,
    sK1485: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2094,type,
    sK1486: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2095,type,
    sK1487: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2096,type,
    sK1488: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2097,type,
    sK1489: product_prod(vEBT_VEBT,nat) > bool ).

tff(func_def_2098,type,
    sK1490: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2099,type,
    sK1491: vEBT_VEBT > bool ).

tff(func_def_2100,type,
    sK1492: vEBT_VEBT > bool ).

tff(func_def_2101,type,
    sK1493: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2102,type,
    sK1494: vEBT_VEBT > nat ).

tff(func_def_2103,type,
    sK1495: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2104,type,
    sK1496: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2105,type,
    sK1497: set(real) > real ).

tff(func_def_2106,type,
    sK1498: ( set(real) * real ) > real ).

tff(func_def_2107,type,
    sK1499: ( set(real) * real ) > real ).

tff(func_def_2108,type,
    sK1500: fun(nat,real) > nat ).

tff(func_def_2109,type,
    sK1501: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2110,type,
    sK1502: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2111,type,
    sK1503: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2112,type,
    sK1504: vEBT_VEBT > bool ).

tff(func_def_2113,type,
    sK1505: vEBT_VEBT > bool ).

tff(func_def_2114,type,
    sK1506: ( fun(real,real) * real ) > real ).

tff(func_def_2115,type,
    sK1507: fun(real,real) > real ).

tff(func_def_2116,type,
    sK1508: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_2117,type,
    sK1509: fun(nat,bool) > nat ).

tff(func_def_2118,type,
    sK1510: real > nat ).

tff(func_def_2119,type,
    sK1511: real > nat ).

tff(func_def_2120,type,
    sK1512: real > int ).

tff(func_def_2121,type,
    sK1513: real > nat ).

tff(func_def_2122,type,
    sK1514: real > nat ).

tff(func_def_2123,type,
    sK1515: real > int ).

tff(func_def_2124,type,
    sK1516: real > int ).

tff(func_def_2125,type,
    sK1517: real > nat ).

tff(func_def_2126,type,
    sK1518: real > nat ).

tff(func_def_2127,type,
    sK1519: real > int ).

tff(func_def_2128,type,
    sK1520: set(nat) > nat ).

tff(func_def_2129,type,
    sK1521: ( set(nat) * nat ) > nat ).

tff(func_def_2130,type,
    sK1522: set(nat) > nat ).

tff(func_def_2131,type,
    sK1523: ( set(nat) * nat ) > nat ).

tff(func_def_2132,type,
    sK1524: real > int ).

tff(func_def_2133,type,
    sK1525: real > int ).

tff(func_def_2134,type,
    sK1526: real > int ).

tff(func_def_2135,type,
    sK1527: real > nat ).

tff(func_def_2136,type,
    sK1528: ( set(nat) * nat ) > nat ).

tff(func_def_2137,type,
    sK1529: set(nat) > nat ).

tff(func_def_2138,type,
    sK1530: ( set(nat) * nat ) > nat ).

tff(func_def_2139,type,
    sK1531: set(nat) > nat ).

tff(func_def_2140,type,
    sK1532: ( fun(product_prod(nat,nat),bool) * nat ) > nat ).

tff(func_def_2141,type,
    sK1533: ( fun(product_prod(nat,nat),bool) * nat ) > nat ).

tff(func_def_2142,type,
    sK1534: fun(product_prod(nat,nat),bool) > nat ).

tff(func_def_2143,type,
    sK1535: real > nat ).

tff(func_def_2144,type,
    sK1536: nat > nat ).

tff(func_def_2145,type,
    sK1537: filter(nat) > nat ).

tff(func_def_2146,type,
    sK1538: real > int ).

tff(func_def_2147,type,
    sK1539: int > nat ).

tff(func_def_2148,type,
    sK1540: product_prod(nat,nat) > nat ).

tff(func_def_2149,type,
    sK1541: product_prod(nat,nat) > nat ).

tff(func_def_2150,type,
    sK1542: int > nat ).

tff(func_def_2151,type,
    sK1543: int > nat ).

tff(func_def_2152,type,
    sK1544: real > real ).

tff(func_def_2153,type,
    sK1545: real > real ).

tff(func_def_2154,type,
    sK1546: real > real ).

tff(func_def_2155,type,
    sK1547: real > real ).

tff(func_def_2156,type,
    sK1548: real > real ).

tff(func_def_2157,type,
    sK1549: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2158,type,
    sK1550: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_2159,type,
    sK1551: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_2160,type,
    sK1552: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2161,type,
    sK1553: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_2162,type,
    sK1554: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2163,type,
    sK1555: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_2164,type,
    sK1556: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2165,type,
    sK1557: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2166,type,
    sK1558: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_2167,type,
    sK1559: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2168,type,
    sK1560: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2169,type,
    sK1561: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_2170,type,
    sK1562: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2171,type,
    sK1563: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > fun(product_prod(X0,X0),bool) ) ).

tff(func_def_2172,type,
    sK1564: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2173,type,
    sK1565: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2174,type,
    sK1566: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_2175,type,
    sK1567: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_2176,type,
    sK1568: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_2177,type,
    sK1569: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_2178,type,
    sK1570: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2179,type,
    sK1571: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2180,type,
    sK1572: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2181,type,
    sK1573: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2182,type,
    sK1574: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2183,type,
    sK1575: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2184,type,
    sK1576: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2185,type,
    sK1577: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2186,type,
    sK1578: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_2187,type,
    sK1579: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_2188,type,
    sK1580: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_2189,type,
    sK1581: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2190,type,
    sK1582: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_2191,type,
    sK1583: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > X0 ) ).

tff(func_def_2192,type,
    sK1584: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > fun(X1,X0) ) ).

tff(func_def_2193,type,
    sK1585: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > fun(X1,X0) ) ).

tff(func_def_2194,type,
    sK1586: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > X1 ) ).

tff(func_def_2195,type,
    sK1587: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > fun(X1,X0) ) ).

tff(func_def_2196,type,
    sK1588: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > X1 ) ).

tff(func_def_2197,type,
    sK1589: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > fun(X1,X0) ) ).

tff(func_def_2198,type,
    sK1590: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2199,type,
    sK1591: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2200,type,
    sK1592: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2201,type,
    sK1593: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2202,type,
    sK1594: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2203,type,
    sK1595: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2204,type,
    sK1596: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2205,type,
    sK1597: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_2206,type,
    sK1598: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2207,type,
    sK1599: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2208,type,
    sK1600: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2209,type,
    sK1601: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2210,type,
    sK1602: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_2211,type,
    sK1603: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2212,type,
    sK1604: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2213,type,
    sK1605: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2214,type,
    sK1606: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_2215,type,
    sK1607: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_2216,type,
    sK1608: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2217,type,
    sK1609: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2218,type,
    sK1610: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2219,type,
    sK1611: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2220,type,
    sK1612: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2221,type,
    sK1613: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2222,type,
    sK1614: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2223,type,
    sK1615: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2224,type,
    sK1616: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2225,type,
    sK1617: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2226,type,
    sK1618: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2227,type,
    sK1619: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2228,type,
    sK1620: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2229,type,
    sK1621: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2230,type,
    sK1622: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2231,type,
    sK1623: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2232,type,
    sK1624: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2233,type,
    sK1625: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2234,type,
    sK1626: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,bool) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2235,type,
    sK1627: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2236,type,
    sK1628: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2237,type,
    sK1629: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_2238,type,
    sK1630: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2239,type,
    sK1631: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2240,type,
    sK1632: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2241,type,
    sK1633: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2242,type,
    sK1634: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2243,type,
    sK1635: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_2244,type,
    sK1636: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_2245,type,
    sK1637: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2246,type,
    sK1638: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_2247,type,
    sK1639: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2248,type,
    sK1640: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2249,type,
    sK1641: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2250,type,
    sK1642: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2251,type,
    sK1643: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2252,type,
    sK1644: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2253,type,
    sK1645: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2254,type,
    sK1646: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2255,type,
    sK1647: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2256,type,
    sK1648: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2257,type,
    sK1649: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2258,type,
    sK1650: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2259,type,
    sK1651: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2260,type,
    sK1652: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2261,type,
    sK1653: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2262,type,
    sK1654: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2263,type,
    sK1655: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2264,type,
    sK1656: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2265,type,
    sK1657: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2266,type,
    sK1658: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2267,type,
    sK1659: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2268,type,
    sK1660: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2269,type,
    sK1661: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2270,type,
    sK1662: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2271,type,
    sK1663: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2272,type,
    sK1664: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2273,type,
    sK1665: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2274,type,
    sK1666: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * set(X1) ) > set(X1) ) ).

tff(func_def_2275,type,
    sK1667: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_2276,type,
    sK1668: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * set(X1) ) > set(X1) ) ).

tff(func_def_2277,type,
    sK1669: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2278,type,
    sK1670: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2279,type,
    sK1671: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2280,type,
    sK1672: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2281,type,
    sK1673: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2282,type,
    sK1674: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2283,type,
    sK1675: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2284,type,
    sK1676: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2285,type,
    sK1677: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2286,type,
    sK1678: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2287,type,
    sK1679: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2288,type,
    sK1680: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2289,type,
    sK1681: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2290,type,
    sK1682: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2291,type,
    sK1683: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2292,type,
    sK1684: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2293,type,
    sK1685: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2294,type,
    sK1686: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2295,type,
    sK1687: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2296,type,
    sK1688: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2297,type,
    sK1689: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2298,type,
    sK1690: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2299,type,
    sK1691: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).

tff(func_def_2300,type,
    sK1692: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2301,type,
    sK1693: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2302,type,
    sK1694: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2303,type,
    sK1695: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2304,type,
    sK1696: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2305,type,
    sK1697: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2306,type,
    sK1698: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2307,type,
    sK1699: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2308,type,
    sK1700: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2309,type,
    sK1701: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2310,type,
    sK1702: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2311,type,
    sK1703: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2312,type,
    sK1704: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2313,type,
    sK1705: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_2314,type,
    sK1706: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2315,type,
    sK1707: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2316,type,
    sK1708: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2317,type,
    sK1709: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2318,type,
    sK1710: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2319,type,
    sK1711: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2320,type,
    sK1712: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_2321,type,
    sK1713: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2322,type,
    sK1714: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2323,type,
    sK1715: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_2324,type,
    sK1716: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),bool) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2325,type,
    sK1717: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),bool) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2326,type,
    sK1718: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_2327,type,
    sK1719: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_2328,type,
    sK1720: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_2329,type,
    sK1721: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2330,type,
    sK1722: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2331,type,
    sK1723: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2332,type,
    sK1724: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2333,type,
    sK1725: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2334,type,
    sK1726: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2335,type,
    sK1727: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2336,type,
    sK1728: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2337,type,
    sK1729: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2338,type,
    sK1730: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2339,type,
    sK1731: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2340,type,
    sK1732: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2341,type,
    sK1733: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2342,type,
    sK1734: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2343,type,
    sK1735: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2344,type,
    sK1736: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2345,type,
    sK1737: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2346,type,
    sK1738: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2347,type,
    sK1739: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2348,type,
    sK1740: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2349,type,
    sK1741: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2350,type,
    sK1742: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2351,type,
    sK1743: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2352,type,
    sK1744: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2353,type,
    sK1745: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2354,type,
    sK1746: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2355,type,
    sK1747: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2356,type,
    sK1748: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2357,type,
    sK1749: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2358,type,
    sK1750: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2359,type,
    sK1751: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2360,type,
    sK1752: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2361,type,
    sK1753: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2362,type,
    sK1754: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2363,type,
    sK1755: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2364,type,
    sK1756: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2365,type,
    sK1757: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2366,type,
    sK1758: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2367,type,
    sK1759: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2368,type,
    sK1760: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2369,type,
    sK1761: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2370,type,
    sK1762: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2371,type,
    sK1763: vEBT_VEBT > bool ).

tff(func_def_2372,type,
    sK1764: vEBT_VEBT > bool ).

tff(func_def_2373,type,
    sK1765: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2374,type,
    sK1766: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2375,type,
    sK1767: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2376,type,
    sK1768: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2377,type,
    sK1769: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2378,type,
    sK1770: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2379,type,
    sK1771: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2380,type,
    sK1772: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2381,type,
    sK1773: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2382,type,
    sK1774: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2383,type,
    sK1775: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2384,type,
    sK1776: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2385,type,
    sK1777: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2386,type,
    sK1778: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2387,type,
    sK1779: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2388,type,
    sK1780: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2389,type,
    sK1781: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2390,type,
    sK1782: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2391,type,
    sK1783: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2392,type,
    sK1784: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2393,type,
    sK1785: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2394,type,
    sK1786: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2395,type,
    sK1787: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2396,type,
    sK1788: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2397,type,
    sK1789: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2398,type,
    sK1790: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2399,type,
    sK1791: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2400,type,
    sK1792: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2401,type,
    sK1793: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2402,type,
    sK1794: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2403,type,
    sK1795: vEBT_VEBT > bool ).

tff(func_def_2404,type,
    sK1796: vEBT_VEBT > bool ).

tff(func_def_2405,type,
    sK1797: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2406,type,
    sK1798: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2407,type,
    sK1799: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2408,type,
    sK1800: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2409,type,
    sK1801: fun(nat,real) > real ).

tff(func_def_2410,type,
    sK1802: ( fun(nat,real) * real ) > nat ).

tff(func_def_2411,type,
    sK1803: fun(nat,real) > nat ).

tff(func_def_2412,type,
    sK1804: fun(nat,real) > nat ).

tff(func_def_2413,type,
    sK1805: ( fun(nat,real) * fun(nat,nat) ) > nat ).

tff(func_def_2414,type,
    sK1806: fun(nat,real) > nat ).

tff(func_def_2415,type,
    sK1807: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2416,type,
    sK1808: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2417,type,
    sK1809: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2418,type,
    sK1810: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2419,type,
    sK1811: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2420,type,
    sK1812: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2421,type,
    sK1813: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2422,type,
    sK1814: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2423,type,
    sK1815: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2424,type,
    sK1816: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2425,type,
    sK1817: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2426,type,
    sK1818: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2427,type,
    sK1819: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2428,type,
    sK1820: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2429,type,
    sK1821: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2430,type,
    sK1822: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2431,type,
    sK1823: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2432,type,
    sK1824: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2433,type,
    sK1825: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2434,type,
    sK1826: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2435,type,
    sK1827: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2436,type,
    sK1828: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2437,type,
    sK1829: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2438,type,
    sK1830: vEBT_VEBT > bool ).

tff(func_def_2439,type,
    sK1831: vEBT_VEBT > bool ).

tff(func_def_2440,type,
    sK1832: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2441,type,
    sK1833: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2442,type,
    sK1834: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2443,type,
    sK1835: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2444,type,
    sK1836: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2445,type,
    sK1837: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2446,type,
    sK1838: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2447,type,
    sK1839: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2448,type,
    sK1840: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2449,type,
    sK1841: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2450,type,
    sK1842: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2451,type,
    sK1843: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2452,type,
    sK1844: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2453,type,
    sK1845: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2454,type,
    sK1846: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2455,type,
    sK1847: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2456,type,
    sK1848: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2457,type,
    sK1849: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2458,type,
    sK1850: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2459,type,
    sK1851: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2460,type,
    sK1852: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2461,type,
    sK1853: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2462,type,
    sK1854: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2463,type,
    sK1855: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2464,type,
    sK1856: vEBT_VEBT > bool ).

tff(func_def_2465,type,
    sK1857: vEBT_VEBT > bool ).

tff(func_def_2466,type,
    sK1858: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2467,type,
    sK1859: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2468,type,
    sK1860: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2469,type,
    sK1861: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2470,type,
    sK1862: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2471,type,
    sK1863: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2472,type,
    sK1864: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2473,type,
    sK1865: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2474,type,
    sK1866: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2475,type,
    sK1867: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2476,type,
    sK1868: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2477,type,
    sK1869: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2478,type,
    sK1870: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2479,type,
    sK1871: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2480,type,
    sK1872: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2481,type,
    sK1873: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2482,type,
    sK1874: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2483,type,
    sK1875: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2484,type,
    sK1876: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2485,type,
    sK1877: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2486,type,
    sK1878: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2487,type,
    sK1879: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2488,type,
    sK1880: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2489,type,
    sK1881: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2490,type,
    sK1882: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2491,type,
    sK1883: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2492,type,
    sK1884: vEBT_VEBT > bool ).

tff(func_def_2493,type,
    sK1885: vEBT_VEBT > bool ).

tff(func_def_2494,type,
    sK1886: ( real * nat ) > real ).

tff(func_def_2495,type,
    sK1887: ( nat * nat ) > nat ).

tff(func_def_2496,type,
    sK1888: ( nat * nat ) > nat ).

tff(func_def_2497,type,
    sK1889: ( nat * nat ) > nat ).

tff(func_def_2498,type,
    sK1890: ( list(nat) * nat ) > nat ).

tff(func_def_2499,type,
    sK1891: ( list(nat) * nat ) > list(nat) ).

tff(func_def_2500,type,
    sK1892: ( list(nat) * nat ) > nat ).

tff(func_def_2501,type,
    sK1893: ( list(nat) * nat ) > list(nat) ).

tff(func_def_2502,type,
    sK1894: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2503,type,
    sK1895: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2504,type,
    sK1896: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2505,type,
    sK1897: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2506,type,
    sK1898: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2507,type,
    sK1899: ( fun(nat,real) * real ) > nat ).

tff(func_def_2508,type,
    sK1900: fun(nat,real) > real ).

tff(func_def_2509,type,
    sK1901: ( fun(nat,real) * real ) > nat ).

tff(func_def_2510,type,
    sK1902: ( fun(nat,real) * real ) > nat ).

tff(func_def_2511,type,
    sK1903: fun(nat,real) > real ).

tff(func_def_2512,type,
    sK1904: ( fun(nat,real) * real ) > nat ).

tff(func_def_2513,type,
    sK1905: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2514,type,
    sK1906: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2515,type,
    sK1907: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2516,type,
    sK1908: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2517,type,
    sK1909: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2518,type,
    sK1910: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2519,type,
    sK1911: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2520,type,
    sK1912: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2521,type,
    sK1913: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2522,type,
    sK1914: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_2523,type,
    sK1915: ( option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2524,type,
    sK1916: ( option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2525,type,
    sK1917: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2526,type,
    sK1918: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2527,type,
    sK1919: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2528,type,
    sK1920: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2529,type,
    sK1921: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2530,type,
    sK1922: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2531,type,
    sK1923: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2532,type,
    sK1924: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2533,type,
    sK1925: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2534,type,
    sK1926: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2535,type,
    sK1927: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2536,type,
    sK1928: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2537,type,
    sK1929: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2538,type,
    sK1930: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2539,type,
    sK1931: vEBT_VEBT > nat ).

tff(func_def_2540,type,
    sK1932: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2541,type,
    sK1933: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2542,type,
    sK1934: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_2543,type,
    sK1935: ( option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2544,type,
    sK1936: ( option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2545,type,
    sK1937: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2546,type,
    sK1938: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2547,type,
    sK1939: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2548,type,
    sK1940: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2549,type,
    sK1941: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2550,type,
    sK1942: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2551,type,
    sK1943: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2552,type,
    sK1944: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2553,type,
    sK1945: ( option(nat) * vEBT_VEBT ) > bool ).

tff(func_def_2554,type,
    sK1946: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2555,type,
    sK1947: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2556,type,
    sK1948: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2557,type,
    sK1949: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2558,type,
    sK1950: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2559,type,
    sK1951: vEBT_VEBT > nat ).

tff(func_def_2560,type,
    sK1952: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2561,type,
    sK1953: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2562,type,
    sK1954: ( set(real) * fun(real,real) ) > real ).

tff(func_def_2563,type,
    sK1955: ( set(real) * fun(real,real) ) > real ).

tff(func_def_2564,type,
    sK1956: fun(num,bool) > num ).

tff(func_def_2565,type,
    sK1957: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_2566,type,
    sK1958: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_2567,type,
    sK1959: fun(nat,bool) > nat ).

tff(func_def_2568,type,
    sK1960: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_2569,type,
    sK1961: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2570,type,
    sK1962: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_2571,type,
    sK1963: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2572,type,
    sK1964: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_2573,type,
    sK1965: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2574,type,
    sK1966: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_2575,type,
    sK1967: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_2576,type,
    sK1968: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2577,type,
    sK1969: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2578,type,
    sK1970: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2579,type,
    sK1971: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2580,type,
    sK1972: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2581,type,
    sK1973: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2582,type,
    sK1974: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2583,type,
    sK1975: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2584,type,
    sK1976: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2585,type,
    sK1977: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2586,type,
    sK1978: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2587,type,
    sK1979: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2588,type,
    sK1980: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2589,type,
    sK1981: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2590,type,
    sK1982: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2591,type,
    sK1983: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2592,type,
    sK1984: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2593,type,
    sK1985: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2594,type,
    sK1986: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2595,type,
    sK1987: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2596,type,
    sK1988: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2597,type,
    sK1989: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2598,type,
    sK1990: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2599,type,
    sK1991: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2600,type,
    sK1992: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2601,type,
    sK1993: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2602,type,
    sK1994: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2603,type,
    sK1995: vEBT_VEBT > nat ).

tff(func_def_2604,type,
    sK1996: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2605,type,
    sK1997: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2606,type,
    sK1998: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2607,type,
    sK1999: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2608,type,
    sK2000: ( nat * nat ) > nat ).

tff(func_def_2609,type,
    sK2001: fun(int,bool) > int ).

tff(func_def_2610,type,
    sK2002: fun(int,bool) > int ).

tff(func_def_2611,type,
    sK2003: fun(nat,bool) > nat ).

tff(func_def_2612,type,
    sK2004: fun(nat,bool) > nat ).

tff(func_def_2613,type,
    sK2005: fun(nat,bool) > nat ).

tff(func_def_2614,type,
    sK2006: fun(nat,bool) > nat ).

tff(func_def_2615,type,
    sK2007: fun(nat,bool) > nat ).

tff(func_def_2616,type,
    sK2008: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2617,type,
    sK2009: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2618,type,
    sK2010: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2619,type,
    sK2011: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2620,type,
    sK2012: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2621,type,
    sK2013: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2622,type,
    sK2014: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2623,type,
    sK2015: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2624,type,
    sK2016: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2625,type,
    sK2017: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2626,type,
    sK2018: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2627,type,
    sK2019: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2628,type,
    sK2020: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2629,type,
    sK2021: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2630,type,
    sK2022: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2631,type,
    sK2023: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2632,type,
    sK2024: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2633,type,
    sK2025: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2634,type,
    sK2026: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2635,type,
    sK2027: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2636,type,
    sK2028: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_2637,type,
    sK2029: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_2638,type,
    sK2030: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_2639,type,
    sK2031: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2640,type,
    sK2032: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2641,type,
    sK2033: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2642,type,
    sK2034: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2643,type,
    sK2035: fun(nat,real) > nat ).

tff(func_def_2644,type,
    sK2036: fun(nat,real) > nat ).

tff(func_def_2645,type,
    sK2037: fun(nat,real) > nat ).

tff(func_def_2646,type,
    sK2038: fun(nat,real) > nat ).

tff(func_def_2647,type,
    sK2039: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2648,type,
    sK2040: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2649,type,
    sK2041: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2650,type,
    sK2042: ( real * real ) > real ).

tff(func_def_2651,type,
    sK2043: ( nat * nat ) > nat ).

tff(func_def_2652,type,
    sK2044: ( nat * nat ) > nat ).

tff(func_def_2653,type,
    sK2045: ( nat * nat ) > nat ).

tff(func_def_2654,type,
    sK2046: ( nat * nat ) > nat ).

tff(func_def_2655,type,
    sK2047: ( nat * nat ) > nat ).

tff(func_def_2656,type,
    sK2048: ( real * real ) > nat ).

tff(func_def_2657,type,
    sK2049: ( real * real ) > nat ).

tff(func_def_2658,type,
    sK2050: ( real * nat ) > real ).

tff(func_def_2659,type,
    sK2051: ( real * nat ) > real ).

tff(func_def_2660,type,
    sK2052: ( real * nat ) > real ).

tff(func_def_2661,type,
    sK2053: ( real * real ) > real ).

tff(func_def_2662,type,
    sK2054: ( real * real ) > nat ).

tff(func_def_2663,type,
    sK2055: ( real * real ) > real ).

tff(func_def_2664,type,
    sK2056: fun(nat,bool) > nat ).

tff(func_def_2665,type,
    sK2057: ( nat * real ) > real ).

tff(func_def_2666,type,
    sK2058: ( nat * real ) > real ).

tff(func_def_2667,type,
    sK2059: ( nat * real ) > real ).

tff(func_def_2668,type,
    sK2060: ( nat * real ) > real ).

tff(func_def_2669,type,
    sK2061: ( nat * nat ) > nat ).

tff(func_def_2670,type,
    sK2062: nat > nat ).

tff(func_def_2671,type,
    sK2063: ( nat * nat ) > nat ).

tff(func_def_2672,type,
    sK2064: ( nat * nat ) > nat ).

tff(func_def_2673,type,
    sK2065: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_2674,type,
    sK2066: ( fun(nat,real) * real ) > fun(nat,int) ).

tff(func_def_2675,type,
    sK2067: ( real * real ) > real ).

tff(func_def_2676,type,
    sK2068: ( real * real ) > real ).

tff(func_def_2677,type,
    sK2069: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_2678,type,
    sK2070: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_2679,type,
    sK2071: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2680,type,
    sK2072: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2681,type,
    sK2073: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * real ) > fun(X1,bool) ) ).

tff(func_def_2682,type,
    sK2074: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * X1 ) > fun(nat,X1) ) ).

tff(func_def_2683,type,
    sK2075: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * X1 ) > fun(nat,X1) ) ).

tff(func_def_2684,type,
    sK2076: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2685,type,
    sK2077: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2686,type,
    sK2078: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2687,type,
    sK2079: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > real ) ).

tff(func_def_2688,type,
    sK2080: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * real ) > X1 ) ).

tff(func_def_2689,type,
    sK2081: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * real ) > X1 ) ).

tff(func_def_2690,type,
    sK2082: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) ) > real ) ).

tff(func_def_2691,type,
    sK2083: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > real ) ).

tff(func_def_2692,type,
    sK2084: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_2693,type,
    sK2085: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_2694,type,
    sK2086: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 ) > real ) ).

tff(func_def_2695,type,
    sK2087: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * real ) > X1 ) ).

tff(func_def_2696,type,
    sK2088: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * real ) > real ) ).

tff(func_def_2697,type,
    sK2089: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_2698,type,
    sK2090: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_2699,type,
    sK2091: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_2700,type,
    sK2092: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > X1 ) ).

tff(func_def_2701,type,
    sK2093: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > nat ) ).

tff(func_def_2702,type,
    sK2094: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2703,type,
    sK2095: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2704,type,
    sK2096: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2705,type,
    sK2097: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2706,type,
    sK2098: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2707,type,
    sK2099: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2708,type,
    sK2100: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2709,type,
    sK2101: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2710,type,
    sK2102: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2711,type,
    sK2103: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2712,type,
    sK2104: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2713,type,
    sK2105: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2714,type,
    sK2106: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_2715,type,
    sK2107: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_2716,type,
    sK2108: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2717,type,
    sK2109: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_2718,type,
    sK2110: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 ) > real ) ).

tff(func_def_2719,type,
    sK2111: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * real ) > X1 ) ).

tff(func_def_2720,type,
    sK2112: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * real ) > real ) ).

tff(func_def_2721,type,
    sK2113: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_2722,type,
    sK2114: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * fun(X0,X1) * set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2723,type,
    sK2115: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * fun(X0,X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_2724,type,
    sK2116: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_2725,type,
    sK2117: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_2726,type,
    sK2118: 
      !>[X0: $tType,X1: $tType] : ( ( real * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2727,type,
    sK2119: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2728,type,
    sK2120: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2729,type,
    sK2121: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2730,type,
    sK2122: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_2731,type,
    sK2123: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_2732,type,
    sK2124: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_2733,type,
    sK2125: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_2734,type,
    sK2126: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_2735,type,
    sK2127: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_2736,type,
    sK2128: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X1 ) > X1 ) ).

tff(func_def_2737,type,
    sK2129: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2738,type,
    sK2130: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2739,type,
    sK2131: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2740,type,
    sK2132: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_2741,type,
    sK2133: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,bool) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2742,type,
    sK2134: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2743,type,
    sK2135: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2744,type,
    sK2136: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2745,type,
    sK2137: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_2746,type,
    sK2138: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,bool) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2747,type,
    sK2139: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2748,type,
    sK2140: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2749,type,
    sK2141: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2750,type,
    sK2142: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2751,type,
    sK2143: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2752,type,
    sK2144: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2753,type,
    sK2145: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2754,type,
    sK2146: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2755,type,
    sK2147: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2756,type,
    sK2148: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2757,type,
    sK2149: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2758,type,
    sK2150: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_2759,type,
    sK2151: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,bool) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2760,type,
    sK2152: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,bool) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2761,type,
    sK2153: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2762,type,
    sK2154: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2763,type,
    sK2155: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2764,type,
    sK2156: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2765,type,
    sK2157: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2766,type,
    sK2158: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2767,type,
    sK2159: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2768,type,
    sK2160: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2769,type,
    sK2161: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2770,type,
    sK2162: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2771,type,
    sK2163: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2772,type,
    sK2164: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2773,type,
    sK2165: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2774,type,
    sK2166: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2775,type,
    sK2167: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2776,type,
    sK2168: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2777,type,
    sK2169: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2778,type,
    sK2170: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2779,type,
    sK2171: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2780,type,
    sK2172: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2781,type,
    sK2173: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2782,type,
    sK2174: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2783,type,
    sK2175: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2784,type,
    sK2176: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2785,type,
    sK2177: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2786,type,
    sK2178: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2787,type,
    sK2179: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2788,type,
    sK2180: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2789,type,
    sK2181: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2790,type,
    sK2182: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2791,type,
    sK2183: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2792,type,
    sK2184: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2793,type,
    sK2185: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2794,type,
    sK2186: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2795,type,
    sK2187: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2796,type,
    sK2188: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2797,type,
    sK2189: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2798,type,
    sK2190: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2799,type,
    sK2191: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2800,type,
    sK2192: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2801,type,
    sK2193: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2802,type,
    sK2194: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2803,type,
    sK2195: ( bool * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2804,type,
    sK2196: ( bool * vEBT_VEBT ) > nat ).

tff(func_def_2805,type,
    sK2197: ( bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2806,type,
    sK2198: ( bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2807,type,
    sK2199: ( bool * vEBT_VEBT ) > nat ).

tff(func_def_2808,type,
    sK2200: ( bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2809,type,
    sK2201: ( bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2810,type,
    sK2202: ( bool * vEBT_VEBT ) > bool ).

tff(func_def_2811,type,
    sK2203: ( bool * vEBT_VEBT ) > bool ).

tff(func_def_2812,type,
    sK2204: vEBT_VEBT > bool ).

tff(func_def_2813,type,
    sK2205: vEBT_VEBT > bool ).

tff(func_def_2814,type,
    sK2206: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2815,type,
    sK2207: vEBT_VEBT > nat ).

tff(func_def_2816,type,
    sK2208: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2817,type,
    sK2209: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2818,type,
    sK2210: vEBT_VEBT > nat ).

tff(func_def_2819,type,
    sK2211: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2820,type,
    sK2212: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2821,type,
    sK2213: ( set(nat) * nat ) > nat ).

tff(func_def_2822,type,
    sK2214: ( set(nat) * nat ) > nat ).

tff(func_def_2823,type,
    sK2215: fun(int,bool) > nat ).

tff(func_def_2824,type,
    sK2216: fun(int,bool) > nat ).

tff(func_def_2825,type,
    sK2217: fun(real,real) > real ).

tff(func_def_2826,type,
    sK2218: ( fun(real,real) * fun(real,real) ) > real ).

tff(func_def_2827,type,
    sK2219: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2828,type,
    sK2220: fun(nat,nat) > nat ).

tff(func_def_2829,type,
    sK2221: fun(nat,real) > nat ).

tff(func_def_2830,type,
    sK2222: fun(nat,real) > nat ).

tff(func_def_2831,type,
    sK2223: fun(nat,real) > nat ).

tff(func_def_2832,type,
    sK2224: ( fun(nat,real) * real ) > real ).

tff(func_def_2833,type,
    sK2225: ( fun(nat,real) * real ) > nat ).

tff(func_def_2834,type,
    sK2226: fun(nat,real) > nat ).

tff(func_def_2835,type,
    sK2227: ( fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2836,type,
    sK2228: ( fun(nat,real) * fun(nat,real) ) > nat ).

tff(func_def_2837,type,
    sK2229: fun(nat,real) > nat ).

tff(func_def_2838,type,
    sK2230: fun(nat,real) > nat ).

tff(func_def_2839,type,
    sK2231: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2840,type,
    sK2232: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2841,type,
    sK2233: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2842,type,
    sK2234: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2843,type,
    sK2235: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2844,type,
    sK2236: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2845,type,
    sK2237: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2846,type,
    sK2238: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2847,type,
    sK2239: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2848,type,
    sK2240: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2849,type,
    sK2241: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2850,type,
    sK2242: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2851,type,
    sK2243: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_2852,type,
    sK2244: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_2853,type,
    sK2245: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > list(X0) ) ).

tff(func_def_2854,type,
    sK2246: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2855,type,
    sK2247: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_2856,type,
    sK2248: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2857,type,
    sK2249: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2858,type,
    sK2250: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_2859,type,
    sK2251: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > list(X0) ) ).

tff(func_def_2860,type,
    sK2252: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2861,type,
    sK2253: fun(nat,bool) > nat ).

tff(func_def_2862,type,
    sK2254: ( nat * set(nat) ) > nat ).

tff(func_def_2863,type,
    sK2255: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_2864,type,
    sK2256: ( set(nat) * nat ) > nat ).

tff(func_def_2865,type,
    sK2257: ( set(nat) * nat ) > nat ).

tff(func_def_2866,type,
    sK2258: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2867,type,
    sK2259: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2868,type,
    sK2260: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_2869,type,
    sK2261: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_2870,type,
    sK2262: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2871,type,
    sK2263: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2872,type,
    sK2264: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2873,type,
    sK2265: fun(extended_enat,bool) > extended_enat ).

tff(func_def_2874,type,
    sK2266: fun(nat,bool) > nat ).

tff(func_def_2875,type,
    sK2267: fun(nat,bool) > nat ).

tff(func_def_2876,type,
    sK2268: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2877,type,
    sK2269: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2878,type,
    sK2270: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2879,type,
    sK2271: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2880,type,
    sK2272: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2881,type,
    sK2273: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_2882,type,
    sK2274: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_2883,type,
    sK2275: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2884,type,
    sK2276: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2885,type,
    sK2277: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2886,type,
    sK2278: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2887,type,
    sK2279: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2888,type,
    sK2280: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2889,type,
    sK2281: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_2890,type,
    sK2282: fun(real,bool) > nat ).

tff(func_def_2891,type,
    sK2283: fun(real,bool) > real ).

tff(func_def_2892,type,
    sK2284: fun(real,bool) > real ).

tff(func_def_2893,type,
    sK2285: fun(real,bool) > real ).

tff(func_def_2894,type,
    sK2286: fun(real,bool) > real ).

tff(func_def_2895,type,
    sK2287: fun(real,bool) > nat ).

tff(func_def_2896,type,
    sK2288: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2897,type,
    sK2289: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_2898,type,
    sK2290: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2899,type,
    sK2291: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,bool) ) ).

tff(func_def_2900,type,
    sK2292: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2901,type,
    sK2293: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2902,type,
    sK2294: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_2903,type,
    sK2295: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_2904,type,
    sK2296: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2905,type,
    sK2297: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2906,type,
    sK2298: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2907,type,
    sK2299: ( set(nat) * nat ) > nat ).

tff(func_def_2908,type,
    sK2300: ( set(nat) * nat ) > nat ).

tff(func_def_2909,type,
    sK2301: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2910,type,
    sK2302: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_2911,type,
    sK2303: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2912,type,
    sK2304: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_2913,type,
    sK2305: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2914,type,
    sK2306: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_2915,type,
    sK2307: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,bool) ) ).

tff(func_def_2916,type,
    sK2308: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2917,type,
    sK2309: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2918,type,
    sK2310: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_2919,type,
    sK2311: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_2920,type,
    sK2312: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2921,type,
    sK2313: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2922,type,
    sK2314: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_2923,type,
    sK2315: vEBT_VEBT > bool ).

tff(func_def_2924,type,
    sK2316: vEBT_VEBT > bool ).

tff(func_def_2925,type,
    sK2317: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2926,type,
    sK2318: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2927,type,
    sK2319: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2928,type,
    sK2320: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2929,type,
    sK2321: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2930,type,
    sK2322: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2931,type,
    sK2323: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2932,type,
    sK2324: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2933,type,
    sK2325: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2934,type,
    sK2326: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2935,type,
    sK2327: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2936,type,
    sK2328: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2937,type,
    sK2329: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2938,type,
    sK2330: list(vEBT_VEBT) > nat ).

tff(func_def_2939,type,
    sK2331: vEBT_VEBT > nat ).

tff(func_def_2940,type,
    sK2332: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2941,type,
    sK2333: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2942,type,
    sK2334: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2943,type,
    sK2335: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2944,type,
    sK2336: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2945,type,
    sK2337: list(vEBT_VEBT) > nat ).

tff(func_def_2946,type,
    sK2338: vEBT_VEBT > nat ).

tff(func_def_2947,type,
    sK2339: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2948,type,
    sK2340: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2949,type,
    sK2341: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2950,type,
    sK2342: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2951,type,
    sK2343: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2952,type,
    sK2344: list(vEBT_VEBT) > nat ).

tff(func_def_2953,type,
    sK2345: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2954,type,
    sK2346: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2955,type,
    sK2347: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2956,type,
    sK2348: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_2957,type,
    sK2349: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_2958,type,
    sK2350: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2959,type,
    sK2351: list(vEBT_VEBT) > nat ).

tff(func_def_2960,type,
    sK2352: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2961,type,
    sK2353: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2962,type,
    sK2354: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2963,type,
    sK2355: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_2964,type,
    sK2356: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_2965,type,
    sK2357: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2966,type,
    sK2358: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2967,type,
    sK2359: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2968,type,
    sK2360: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2969,type,
    sK2361: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2970,type,
    sK2362: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2971,type,
    sK2363: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2972,type,
    sK2364: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2973,type,
    sK2365: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2974,type,
    sK2366: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2975,type,
    sK2367: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2976,type,
    sK2368: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_2977,type,
    sK2369: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2978,type,
    sK2370: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2979,type,
    sK2371: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2980,type,
    sK2372: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2981,type,
    sK2373: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_2982,type,
    sK2374: ( int * int ) > nat ).

tff(func_def_2983,type,
    sK2375: ( nat * nat ) > nat ).

tff(func_def_2984,type,
    sK2376: ( nat * nat ) > nat ).

tff(func_def_2985,type,
    sK2377: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2986,type,
    sK2378: ( nat * nat ) > nat ).

tff(func_def_2987,type,
    sK2379: ( nat * nat ) > nat ).

tff(func_def_2988,type,
    sK2380: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2989,type,
    sK2381: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2990,type,
    sK2382: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2991,type,
    sK2383: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2992,type,
    sK2384: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2993,type,
    sK2385: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2994,type,
    sK2386: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2995,type,
    sK2387: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2996,type,
    sK2388: 
      !>[X0: $tType] : ( fun(option(X0),bool) > X0 ) ).

tff(func_def_2997,type,
    sK2389: 
      !>[X0: $tType] : ( fun(option(X0),bool) > option(X0) ) ).

tff(func_def_2998,type,
    sK2390: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2999,type,
    sK2391: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3000,type,
    sK2392: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3001,type,
    sK2393: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3002,type,
    sK2394: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3003,type,
    sK2395: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3004,type,
    sK2396: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3005,type,
    sK2397: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3006,type,
    sK2398: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3007,type,
    sK2399: 
      !>[X0: $tType] : ( fun(option(X0),bool) > option(X0) ) ).

tff(func_def_3008,type,
    sK2400: 
      !>[X0: $tType] : ( fun(option(X0),bool) > X0 ) ).

tff(func_def_3009,type,
    sK2401: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3010,type,
    sK2402: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3011,type,
    sK2403: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3012,type,
    sK2404: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3013,type,
    sK2405: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3014,type,
    sK2406: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3015,type,
    sK2407: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3016,type,
    sK2408: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3017,type,
    sK2409: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_3018,type,
    sK2410: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_3019,type,
    sK2411: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_3020,type,
    sK2412: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_3021,type,
    sK2413: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_3022,type,
    sK2414: ( real * nat ) > real ).

tff(func_def_3023,type,
    sK2415: ( real * nat ) > real ).

tff(func_def_3024,type,
    sK2416: ( real * nat ) > real ).

tff(func_def_3025,type,
    sK2417: ( real * nat ) > real ).

tff(func_def_3026,type,
    sK2418: ( real * real ) > real ).

tff(func_def_3027,type,
    sK2419: ( real * real ) > real ).

tff(func_def_3028,type,
    sK2420: ( nat * nat ) > nat ).

tff(func_def_3029,type,
    sK2421: ( nat * nat ) > nat ).

tff(func_def_3030,type,
    sK2422: ( nat * nat ) > nat ).

tff(func_def_3031,type,
    sK2423: ( nat * nat ) > nat ).

tff(func_def_3032,type,
    sK2424: ( nat * nat ) > nat ).

tff(func_def_3033,type,
    sK2425: ( nat * nat ) > nat ).

tff(func_def_3034,type,
    sK2426: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X2,fun(X1,X0)) * filter(X2) ) > X1 ) ).

tff(func_def_3035,type,
    sK2427: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_3036,type,
    sK2428: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3037,type,
    sK2429: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3038,type,
    sK2430: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3039,type,
    sK2431: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3040,type,
    sK2432: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3041,type,
    sK2433: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3042,type,
    sK2434: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3043,type,
    sK2435: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3044,type,
    sK2436: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X0) * fun(X0,X2) * set(X1) ) > X1 ) ).

tff(func_def_3045,type,
    sK2437: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X0) * fun(X0,X2) * set(X1) ) > X1 ) ).

tff(func_def_3046,type,
    sK2438: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3047,type,
    sK2439: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3048,type,
    sK2440: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3049,type,
    sK2441: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3050,type,
    sK2442: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3051,type,
    sK2443: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3052,type,
    sK2444: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3053,type,
    sK2445: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3054,type,
    sK2446: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3055,type,
    sK2447: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3056,type,
    sK2448: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3057,type,
    sK2449: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3058,type,
    sK2450: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3059,type,
    sK2451: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3060,type,
    sK2452: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3061,type,
    sK2453: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3062,type,
    sK2454: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3063,type,
    sK2455: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3064,type,
    sK2456: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > X0 ) ).

tff(func_def_3065,type,
    sK2457: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > list(X0) ) ).

tff(func_def_3066,type,
    sK2458: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > X0 ) ).

tff(func_def_3067,type,
    sK2459: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > X0 ) ).

tff(func_def_3068,type,
    sK2460: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > list(X0) ) ).

tff(func_def_3069,type,
    sK2461: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3070,type,
    sK2462: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3071,type,
    sK2463: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_3072,type,
    sK2464: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_3073,type,
    sK2465: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_3074,type,
    sK2466: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_3075,type,
    sK2467: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_3076,type,
    sK2468: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_3077,type,
    sK2469: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3078,type,
    sK2470: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3079,type,
    sK2471: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3080,type,
    sK2472: ( nat * vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3081,type,
    sK2473: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3082,type,
    sK2474: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3083,type,
    sK2475: ( nat * vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3084,type,
    sK2476: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3085,type,
    sK2477: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3086,type,
    sK2478: ( nat * vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3087,type,
    sK2479: ( nat * vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3088,type,
    sK2480: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3089,type,
    sK2481: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3090,type,
    sK2482: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3091,type,
    sK2483: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3092,type,
    sK2484: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3093,type,
    sK2485: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3094,type,
    sK2486: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3095,type,
    sK2487: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3096,type,
    sK2488: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3097,type,
    sK2489: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3098,type,
    sK2490: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3099,type,
    sK2491: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3100,type,
    sK2492: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3101,type,
    sK2493: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3102,type,
    sK2494: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3103,type,
    sK2495: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3104,type,
    sK2496: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3105,type,
    sK2497: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3106,type,
    sK2498: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3107,type,
    sK2499: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3108,type,
    sK2500: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3109,type,
    sK2501: ( num * num * num ) > num ).

tff(func_def_3110,type,
    sK2502: ( num * num * num ) > num ).

tff(func_def_3111,type,
    sK2503: num > num ).

tff(func_def_3112,type,
    sK2504: ( num * num * num ) > num ).

tff(func_def_3113,type,
    sK2505: ( num * num * num ) > num ).

tff(func_def_3114,type,
    sK2506: ( num * num * num ) > num ).

tff(func_def_3115,type,
    sK2507: ( num * num * num ) > num ).

tff(func_def_3116,type,
    sK2508: num > num ).

tff(func_def_3117,type,
    sK2509: ( num * num ) > num ).

tff(func_def_3118,type,
    sK2510: ( num * num ) > num ).

tff(func_def_3119,type,
    sK2511: ( num * num * num ) > num ).

tff(func_def_3120,type,
    sK2512: ( num * num * num ) > num ).

tff(func_def_3121,type,
    sK2513: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3122,type,
    sK2514: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3123,type,
    sK2515: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3124,type,
    sK2516: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3125,type,
    sK2517: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3126,type,
    sK2518: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3127,type,
    sK2519: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3128,type,
    sK2520: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3129,type,
    sK2521: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3130,type,
    sK2522: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3131,type,
    sK2523: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3132,type,
    sK2524: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3133,type,
    sK2525: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3134,type,
    sK2526: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3135,type,
    sK2527: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3136,type,
    sK2528: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3137,type,
    sK2529: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3138,type,
    sK2530: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3139,type,
    sK2531: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3140,type,
    sK2532: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3141,type,
    sK2533: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3142,type,
    sK2534: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3143,type,
    sK2535: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3144,type,
    sK2536: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3145,type,
    sK2537: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3146,type,
    sK2538: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3147,type,
    sK2539: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3148,type,
    sK2540: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3149,type,
    sK2541: nat > nat ).

tff(func_def_3150,type,
    sK2542: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3151,type,
    sK2543: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3152,type,
    sK2544: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3153,type,
    sK2545: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3154,type,
    sK2546: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3155,type,
    sK2547: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3156,type,
    sK2548: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3157,type,
    sK2549: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3158,type,
    sK2550: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3159,type,
    sK2551: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3160,type,
    sK2552: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3161,type,
    sK2553: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3162,type,
    sK2554: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3163,type,
    sK2555: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3164,type,
    sK2556: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3165,type,
    sK2557: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3166,type,
    sK2558: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3167,type,
    sK2559: ( option(num) * num * num ) > num ).

tff(func_def_3168,type,
    sK2560: ( option(num) * num * num ) > num ).

tff(func_def_3169,type,
    sK2561: ( option(num) * num * num ) > num ).

tff(func_def_3170,type,
    sK2562: ( option(num) * num * num ) > num ).

tff(func_def_3171,type,
    sK2563: ( option(num) * num * num ) > num ).

tff(func_def_3172,type,
    sK2564: ( option(num) * num * num ) > num ).

tff(func_def_3173,type,
    sK2565: ( option(num) * num * num ) > num ).

tff(func_def_3174,type,
    sK2566: ( option(num) * num * num ) > num ).

tff(func_def_3175,type,
    sK2567: num > num ).

tff(func_def_3176,type,
    sK2568: num > num ).

tff(func_def_3177,type,
    sK2569: ( num * num * option(num) ) > num ).

tff(func_def_3178,type,
    sK2570: ( num * num * option(num) ) > num ).

tff(func_def_3179,type,
    sK2571: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3180,type,
    sK2572: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3181,type,
    sK2573: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3182,type,
    sK2574: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3183,type,
    sK2575: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3184,type,
    sK2576: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3185,type,
    sK2577: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3186,type,
    sK2578: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3187,type,
    sK2579: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3188,type,
    sK2580: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3189,type,
    sK2581: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3190,type,
    sK2582: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3191,type,
    sK2583: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3192,type,
    sK2584: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3193,type,
    sK2585: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3194,type,
    sK2586: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3195,type,
    sK2587: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_3196,type,
    sK2588: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3197,type,
    sK2589: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_3198,type,
    sK2590: vEBT_VEBT > nat ).

tff(func_def_3199,type,
    sK2591: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3200,type,
    sK2592: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3201,type,
    sK2593: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3202,type,
    sK2594: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3203,type,
    sK2595: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3204,type,
    sK2596: ( option(nat) * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3205,type,
    sK2597: ( option(nat) * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3206,type,
    sK2598: nat > nat ).

tff(func_def_3207,type,
    sK2599: vEBT_VEBT > bool ).

tff(func_def_3208,type,
    sK2600: vEBT_VEBT > bool ).

tff(func_def_3209,type,
    sK2601: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3210,type,
    sK2602: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3211,type,
    sK2603: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3212,type,
    sK2604: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3213,type,
    sK2605: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3214,type,
    sK2606: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3215,type,
    sK2607: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3216,type,
    sK2608: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3217,type,
    sK2609: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3218,type,
    sK2610: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3219,type,
    sK2611: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3220,type,
    sK2612: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3221,type,
    sK2613: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3222,type,
    sK2614: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3223,type,
    sK2615: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3224,type,
    sK2616: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3225,type,
    sK2617: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3226,type,
    sK2618: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3227,type,
    sK2619: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3228,type,
    sK2620: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3229,type,
    sK2621: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3230,type,
    sK2622: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3231,type,
    sK2623: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3232,type,
    sK2624: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3233,type,
    sK2625: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3234,type,
    sK2626: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3235,type,
    sK2627: ( bool * bool * option(nat) * nat ) > nat ).

tff(func_def_3236,type,
    sK2628: ( vEBT_VEBT * nat * option(nat) ) > bool ).

tff(func_def_3237,type,
    sK2629: ( vEBT_VEBT * nat * option(nat) ) > bool ).

tff(func_def_3238,type,
    sK2630: vEBT_VEBT > nat ).

tff(func_def_3239,type,
    sK2631: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3240,type,
    sK2632: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3241,type,
    sK2633: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3242,type,
    sK2634: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3243,type,
    sK2635: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3244,type,
    sK2636: ( option(nat) * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3245,type,
    sK2637: ( option(nat) * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3246,type,
    sK2638: vEBT_VEBT > bool ).

tff(func_def_3247,type,
    sK2639: vEBT_VEBT > bool ).

tff(func_def_3248,type,
    sK2640: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3249,type,
    sK2641: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3250,type,
    sK2642: nat > nat ).

tff(func_def_3251,type,
    sK2643: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3252,type,
    sK2644: ( option(nat) * nat * vEBT_VEBT ) > bool ).

tff(func_def_3253,type,
    sK2645: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3254,type,
    sK2646: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3255,type,
    sK2647: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3256,type,
    sK2648: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3257,type,
    sK2649: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3258,type,
    sK2650: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3259,type,
    sK2651: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3260,type,
    sK2652: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3261,type,
    sK2653: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3262,type,
    sK2654: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3263,type,
    sK2655: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3264,type,
    sK2656: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3265,type,
    sK2657: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3266,type,
    sK2658: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3267,type,
    sK2659: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3268,type,
    sK2660: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3269,type,
    sK2661: fun(nat,bool) > nat ).

tff(func_def_3270,type,
    sK2662: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3271,type,
    sK2663: fun(nat,bool) > nat ).

tff(func_def_3272,type,
    sK2664: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3273,type,
    sK2665: fun(nat,bool) > nat ).

tff(func_def_3274,type,
    sK2666: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_3275,type,
    sK2667: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_3276,type,
    sK2668: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_3277,type,
    sK2669: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_3278,type,
    sK2670: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_3279,type,
    sK2671: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_3280,type,
    sK2672: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_3281,type,
    sK2673: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_3282,type,
    sK2674: 
      !>[X0: $tType] : ( fun(list(list(X0)),bool) > X0 ) ).

tff(func_def_3283,type,
    sK2675: 
      !>[X0: $tType] : ( fun(list(list(X0)),bool) > list(X0) ) ).

tff(func_def_3284,type,
    sK2676: 
      !>[X0: $tType] : ( fun(list(list(X0)),bool) > list(list(X0)) ) ).

tff(func_def_3285,type,
    sK2677: 
      !>[X0: $tType] : ( fun(list(list(X0)),bool) > list(list(X0)) ) ).

tff(func_def_3286,type,
    sK2678: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_3287,type,
    sK2679: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3288,type,
    sK2680: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_3289,type,
    sK2681: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_3290,type,
    sK2682: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_3291,type,
    sK2683: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > set(X0) ) ).

tff(func_def_3292,type,
    sK2684: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3293,type,
    sK2685: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3294,type,
    sK2686: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3295,type,
    sK2687: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_3296,type,
    sK2688: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3297,type,
    sK2689: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_3298,type,
    sK2690: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3299,type,
    sK2691: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3300,type,
    sK2692: ( nat * nat * nat ) > nat ).

tff(func_def_3301,type,
    sK2693: ( nat * nat * nat ) > nat ).

tff(func_def_3302,type,
    sK2694: ( nat * nat * nat ) > nat ).

tff(func_def_3303,type,
    sK2695: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > set(X0) ) ).

tff(func_def_3304,type,
    sK2696: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3305,type,
    sK2697: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3306,type,
    sK2698: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_3307,type,
    sK2699: ( fun(real,real) * real ) > real ).

tff(func_def_3308,type,
    sK2700: ( fun(real,real) * real ) > real ).

tff(func_def_3309,type,
    sK2701: ( fun(real,real) * real ) > real ).

tff(func_def_3310,type,
    sK2702: ( fun(real,real) * real ) > real ).

tff(func_def_3311,type,
    sK2703: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3312,type,
    sK2704: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3313,type,
    sK2705: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3314,type,
    sK2706: ( real * real * fun(real,real) ) > real ).

tff(func_def_3315,type,
    sK2707: ( real * real * fun(real,real) ) > real ).

tff(func_def_3316,type,
    sK2708: ( real * real * fun(real,real) ) > real ).

tff(func_def_3317,type,
    sK2709: ( real * real * fun(real,real) ) > real ).

tff(func_def_3318,type,
    sK2710: ( fun(real,real) * real * real ) > real ).

tff(func_def_3319,type,
    sK2711: ( real * real * fun(real,real) ) > real ).

tff(func_def_3320,type,
    sK2712: ( real * real * real ) > real ).

tff(func_def_3321,type,
    sK2713: ( real * real * real ) > real ).

tff(func_def_3322,type,
    sK2714: ( real * real * fun(real,real) ) > real ).

tff(func_def_3323,type,
    sK2715: ( real * real * fun(real,real) ) > real ).

tff(func_def_3324,type,
    sK2716: ( real * real * fun(real,real) ) > real ).

tff(func_def_3325,type,
    sK2717: ( real * real * fun(real,real) ) > real ).

tff(func_def_3326,type,
    sK2718: ( real * real * fun(real,real) ) > real ).

tff(func_def_3327,type,
    sK2719: ( real * real * fun(real,real) ) > real ).

tff(func_def_3328,type,
    sK2720: ( real * real * fun(real,real) ) > real ).

tff(func_def_3329,type,
    sK2721: ( real * real * fun(real,real) ) > real ).

tff(func_def_3330,type,
    sK2722: ( real * real * fun(real,real) ) > real ).

tff(func_def_3331,type,
    sK2723: ( fun(real,real) * real * real ) > real ).

tff(func_def_3332,type,
    sK2724: ( fun(real,real) * real * real * real ) > real ).

tff(func_def_3333,type,
    sK2725: ( real * real * fun(real,real) ) > real ).

tff(func_def_3334,type,
    sK2726: ( real * real * fun(real,real) ) > real ).

tff(func_def_3335,type,
    sK2727: fun(real,fun(real,bool)) > real ).

tff(func_def_3336,type,
    sK2728: fun(real,fun(real,bool)) > real ).

tff(func_def_3337,type,
    sK2729: fun(real,fun(real,bool)) > real ).

tff(func_def_3338,type,
    sK2730: ( fun(real,fun(real,bool)) * real * real ) > real ).

tff(func_def_3339,type,
    sK2731: ( fun(real,fun(real,bool)) * real * real ) > real ).

tff(func_def_3340,type,
    sK2732: ( real * real * fun(real,fun(real,bool)) ) > real ).

tff(func_def_3341,type,
    sK2733: ( nat * set(nat) ) > nat ).

tff(func_def_3342,type,
    sK2734: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3343,type,
    sK2735: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3344,type,
    sK2736: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3345,type,
    sK2737: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3346,type,
    sK2738: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3347,type,
    sK2739: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3348,type,
    sK2740: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3349,type,
    sK2741: ( nat * nat * fun(nat,bool) ) > nat ).

tff(func_def_3350,type,
    sK2742: ( nat * nat * fun(nat,bool) ) > nat ).

tff(func_def_3351,type,
    sK2743: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3352,type,
    sK2744: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3353,type,
    sK2745: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3354,type,
    sK2746: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3355,type,
    sK2747: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3356,type,
    sK2748: ( fun(real,real) * real ) > real ).

tff(func_def_3357,type,
    sK2749: ( fun(real,real) * real ) > real ).

tff(func_def_3358,type,
    sK2750: ( fun(real,real) * real ) > real ).

tff(func_def_3359,type,
    sK2751: ( option(num) * num * num ) > num ).

tff(func_def_3360,type,
    sK2752: ( option(num) * num * num ) > num ).

tff(func_def_3361,type,
    sK2753: ( option(num) * num * num ) > num ).

tff(func_def_3362,type,
    sK2754: ( option(num) * num * num ) > num ).

tff(func_def_3363,type,
    sK2755: ( option(num) * num * num ) > num ).

tff(func_def_3364,type,
    sK2756: ( option(num) * num * num ) > num ).

tff(func_def_3365,type,
    sK2757: ( option(num) * num * num ) > num ).

tff(func_def_3366,type,
    sK2758: ( option(num) * num * num ) > num ).

tff(func_def_3367,type,
    sK2759: ( option(num) * num ) > num ).

tff(func_def_3368,type,
    sK2760: ( option(num) * num ) > num ).

tff(func_def_3369,type,
    sK2761: ( num * num * option(num) ) > num ).

tff(func_def_3370,type,
    sK2762: ( num * num * option(num) ) > num ).

tff(func_def_3371,type,
    sK2763: ( option(num) * num * num ) > num ).

tff(func_def_3372,type,
    sK2764: ( option(num) * num * num ) > num ).

tff(func_def_3373,type,
    sK2765: num > num ).

tff(func_def_3374,type,
    sK2766: ( option(num) * num * num ) > num ).

tff(func_def_3375,type,
    sK2767: ( option(num) * num * num ) > num ).

tff(func_def_3376,type,
    sK2768: ( option(num) * num * num ) > num ).

tff(func_def_3377,type,
    sK2769: ( option(num) * num * num ) > num ).

tff(func_def_3378,type,
    sK2770: num > num ).

tff(func_def_3379,type,
    sK2771: num > num ).

tff(func_def_3380,type,
    sK2772: num > num ).

tff(func_def_3381,type,
    sK2773: ( num * num * option(num) ) > num ).

tff(func_def_3382,type,
    sK2774: ( num * num * option(num) ) > num ).

tff(func_def_3383,type,
    sK2775: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3384,type,
    sK2776: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3385,type,
    sK2777: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_3386,type,
    sK2778: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > list(X0) ) ).

tff(func_def_3387,type,
    sK2779: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3388,type,
    sK2780: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3389,type,
    sK2781: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3390,type,
    sK2782: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3391,type,
    sK2783: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3392,type,
    sK2784: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3393,type,
    sK2785: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3394,type,
    sK2786: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3395,type,
    sK2787: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3396,type,
    sK2788: fun(int,fun(int,bool)) > int ).

tff(func_def_3397,type,
    sK2789: fun(int,fun(int,bool)) > int ).

tff(func_def_3398,type,
    sK2790: fun(int,fun(int,bool)) > int ).

tff(func_def_3399,type,
    sK2791: fun(int,fun(int,bool)) > int ).

tff(func_def_3400,type,
    sK2792: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_3401,type,
    sK2793: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3402,type,
    sK2794: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3403,type,
    sK2795: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3404,type,
    sK2796: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3405,type,
    sK2797: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3406,type,
    sK2798: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3407,type,
    sK2799: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X1,fun(X2,X0)) * fun(X1,fun(X2,X0)) * X2 * set(X2) ) > X1 ) ).

tff(func_def_3408,type,
    sK2800: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_3409,type,
    sK2801: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3410,type,
    sK2802: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3411,type,
    sK2803: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3412,type,
    sK2804: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3413,type,
    sK2805: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3414,type,
    sK2806: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3415,type,
    sK2807: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_3416,type,
    sK2808: ( nat * bool * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3417,type,
    sK2809: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3418,type,
    sK2810: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3419,type,
    sK2811: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3420,type,
    sK2812: ( nat * bool * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3421,type,
    sK2813: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3422,type,
    sK2814: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3423,type,
    sK2815: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3424,type,
    sK2816: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3425,type,
    sK2817: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_3426,type,
    sK2818: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_3427,type,
    sK2819: ( vEBT_VEBT * nat * bool ) > option(product_prod(nat,nat)) ).

tff(func_def_3428,type,
    sK2820: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3429,type,
    sK2821: ( vEBT_VEBT * nat * bool ) > list(vEBT_VEBT) ).

tff(func_def_3430,type,
    sK2822: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3431,type,
    sK2823: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_3432,type,
    sK2824: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3433,type,
    sK2825: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3434,type,
    sK2826: ( nat * bool * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3435,type,
    sK2827: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3436,type,
    sK2828: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3437,type,
    sK2829: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3438,type,
    sK2830: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3439,type,
    sK2831: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3440,type,
    sK2832: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3441,type,
    sK2833: vEBT_VEBT > bool ).

tff(func_def_3442,type,
    sK2834: vEBT_VEBT > bool ).

tff(func_def_3443,type,
    sK2835: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3444,type,
    sK2836: ( vEBT_VEBT * nat * bool ) > option(product_prod(nat,nat)) ).

tff(func_def_3445,type,
    sK2837: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3446,type,
    sK2838: ( vEBT_VEBT * nat * bool ) > list(vEBT_VEBT) ).

tff(func_def_3447,type,
    sK2839: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3448,type,
    sK2840: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3449,type,
    sK2841: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3450,type,
    sK2842: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3451,type,
    sK2843: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3452,type,
    sK2844: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3453,type,
    sK2845: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3454,type,
    sK2846: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3455,type,
    sK2847: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3456,type,
    sK2848: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3457,type,
    sK2849: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3458,type,
    sK2850: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3459,type,
    sK2851: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3460,type,
    sK2852: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3461,type,
    sK2853: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3462,type,
    sK2854: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3463,type,
    sK2855: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3464,type,
    sK2856: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3465,type,
    sK2857: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3466,type,
    sK2858: vEBT_VEBT > bool ).

tff(func_def_3467,type,
    sK2859: vEBT_VEBT > bool ).

tff(func_def_3468,type,
    sK2860: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3469,type,
    sK2861: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3470,type,
    sK2862: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3471,type,
    sK2863: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3472,type,
    sK2864: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3473,type,
    sK2865: ( vEBT_VEBT * nat * bool ) > list(vEBT_VEBT) ).

tff(func_def_3474,type,
    sK2866: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3475,type,
    sK2867: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3476,type,
    sK2868: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3477,type,
    sK2869: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3478,type,
    sK2870: ( vEBT_VEBT * nat * bool ) > list(vEBT_VEBT) ).

tff(func_def_3479,type,
    sK2871: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3480,type,
    sK2872: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3481,type,
    sK2873: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3482,type,
    sK2874: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3483,type,
    sK2875: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3484,type,
    sK2876: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3485,type,
    sK2877: ( nat * bool * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3486,type,
    sK2878: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3487,type,
    sK2879: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3488,type,
    sK2880: ( nat * bool * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3489,type,
    sK2881: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3490,type,
    sK2882: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3491,type,
    sK2883: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3492,type,
    sK2884: ( nat * bool * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3493,type,
    sK2885: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3494,type,
    sK2886: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3495,type,
    sK2887: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3496,type,
    sK2888: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3497,type,
    sK2889: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3498,type,
    sK2890: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3499,type,
    sK2891: vEBT_VEBT > nat ).

tff(func_def_3500,type,
    sK2892: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3501,type,
    sK2893: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3502,type,
    sK2894: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_3503,type,
    sK2895: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_3504,type,
    sK2896: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3505,type,
    sK2897: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3506,type,
    sK2898: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3507,type,
    sK2899: ( vEBT_VEBT * nat * bool ) > list(vEBT_VEBT) ).

tff(func_def_3508,type,
    sK2900: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3509,type,
    sK2901: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3510,type,
    sK2902: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3511,type,
    sK2903: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3512,type,
    sK2904: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3513,type,
    sK2905: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3514,type,
    sK2906: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3515,type,
    sK2907: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3516,type,
    sK2908: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3517,type,
    sK2909: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3518,type,
    sK2910: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3519,type,
    sK2911: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3520,type,
    sK2912: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3521,type,
    sK2913: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3522,type,
    sK2914: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3523,type,
    sK2915: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3524,type,
    sK2916: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3525,type,
    sK2917: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3526,type,
    sK2918: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3527,type,
    sK2919: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3528,type,
    sK2920: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),bool) ) > set(X0) ) ).

tff(func_def_3529,type,
    sK2921: ( real * fun(real,real) ) > real ).

tff(func_def_3530,type,
    sK2922: ( real * fun(real,real) ) > real ).

tff(func_def_3531,type,
    sK2923: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3532,type,
    sK2924: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_3533,type,
    sK2925: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3534,type,
    sK2926: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3535,type,
    sK2927: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3536,type,
    sK2928: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3537,type,
    sK2929: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3538,type,
    sK2930: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3539,type,
    sK2931: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3540,type,
    sK2932: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3541,type,
    sK2933: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3542,type,
    sK2934: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3543,type,
    sK2935: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3544,type,
    sK2936: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3545,type,
    sK2937: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3546,type,
    sK2938: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3547,type,
    sK2939: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3548,type,
    sK2940: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3549,type,
    sK2941: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_3550,type,
    sK2942: ( real * fun(nat,real) ) > real ).

tff(func_def_3551,type,
    sK2943: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3552,type,
    sK2944: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_3553,type,
    sK2945: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_3554,type,
    sK2946: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_3555,type,
    sK2947: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3556,type,
    sK2948: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3557,type,
    sK2949: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3558,type,
    sK2950: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3559,type,
    sK2951: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3560,type,
    sK2952: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3561,type,
    sK2953: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3562,type,
    sK2954: fun(nat,nat) > nat ).

tff(func_def_3563,type,
    sK2955: fun(nat,nat) > nat ).

tff(func_def_3564,type,
    sK2956: fun(nat,nat) > nat ).

tff(func_def_3565,type,
    sK2957: fun(nat,nat) > nat ).

tff(func_def_3566,type,
    sK2958: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_3567,type,
    sK2959: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_3568,type,
    sK2960: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_3569,type,
    sK2961: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_3570,type,
    sK2962: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3571,type,
    sK2963: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3572,type,
    sK2964: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3573,type,
    sK2965: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3574,type,
    sK2966: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3575,type,
    sK2967: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3576,type,
    sK2968: fun(nat,fun(nat,bool)) > nat ).

tff(func_def_3577,type,
    sK2969: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool))) ) > fun(nat,X0) ) ).

tff(func_def_3578,type,
    sK2970: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool))) ) > X0 ) ).

tff(func_def_3579,type,
    sK2971: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool))) ) > nat ) ).

tff(func_def_3580,type,
    sK2972: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3581,type,
    sK2973: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3582,type,
    sK2974: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3583,type,
    sK2975: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3584,type,
    sK2976: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3585,type,
    sK2977: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3586,type,
    sK2978: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3587,type,
    sK2979: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3588,type,
    sK2980: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3589,type,
    sK2981: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3590,type,
    sK2982: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3591,type,
    sK2983: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3592,type,
    sK2984: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3593,type,
    sK2985: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3594,type,
    sK2986: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3595,type,
    sK2987: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3596,type,
    sK2988: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3597,type,
    sK2989: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).

tff(func_def_3598,type,
    sK2990: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3599,type,
    sK2991: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_3600,type,
    sK2992: ( nat * nat * set(nat) ) > nat ).

tff(func_def_3601,type,
    sK2993: ( nat * nat * set(nat) ) > nat ).

tff(func_def_3602,type,
    sK2994: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3603,type,
    sK2995: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3604,type,
    sK2996: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_3605,type,
    sK2997: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3606,type,
    sK2998: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3607,type,
    sK2999: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > nat ) ).

tff(func_def_3608,type,
    sK3000: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > nat ) ).

tff(func_def_3609,type,
    sK3001: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3610,type,
    sK3002: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3611,type,
    sK3003: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3612,type,
    sK3004: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_3613,type,
    sK3005: 
      !>[X0: $tType] : ( ( fun(nat,nat) * list(X0) ) > nat ) ).

tff(func_def_3614,type,
    sK3006: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3615,type,
    sK3007: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3616,type,
    sK3008: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > set(X0) ) ).

tff(func_def_3617,type,
    sK3009: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3618,type,
    sK3010: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3619,type,
    sK3011: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3620,type,
    sK3012: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3621,type,
    sK3013: ( nat * nat * nat ) > nat ).

tff(func_def_3622,type,
    sK3014: ( nat * nat * nat ) > nat ).

tff(func_def_3623,type,
    sK3015: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3624,type,
    sK3016: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3625,type,
    sK3017: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3626,type,
    sK3018: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3627,type,
    sK3019: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3628,type,
    sK3020: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3629,type,
    sK3021: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3630,type,
    sK3022: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * filter(X0) ) > fun(X0,bool) ) ).

tff(func_def_3631,type,
    sK3023: ( fun(real,bool) * real * nat ) > real ).

tff(func_def_3632,type,
    sK3024: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3633,type,
    sK3025: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3634,type,
    sK3026: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3635,type,
    sK3027: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3636,type,
    sK3028: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3637,type,
    sK3029: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3638,type,
    sK3030: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_3639,type,
    sK3031: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3640,type,
    sK3032: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3641,type,
    sK3033: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3642,type,
    sK3034: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3643,type,
    sK3035: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3644,type,
    sK3036: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3645,type,
    sK3037: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3646,type,
    sK3038: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3647,type,
    sK3039: ( fun(nat,bool) * nat * nat ) > nat ).

tff(func_def_3648,type,
    sK3040: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3649,type,
    sK3041: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3650,type,
    sK3042: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3651,type,
    sK3043: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > X0 ) ).

tff(func_def_3652,type,
    sK3044: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3653,type,
    sK3045: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_3654,type,
    sK3046: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_3655,type,
    sK3047: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3656,type,
    sK3048: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3657,type,
    sK3049: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3658,type,
    sK3050: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3659,type,
    sK3051: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3660,type,
    sK3052: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3661,type,
    sK3053: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_3662,type,
    sK3054: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3663,type,
    sK3055: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3664,type,
    sK3056: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3665,type,
    sK3057: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_3666,type,
    sK3058: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3667,type,
    sK3059: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3668,type,
    sK3060: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3669,type,
    sK3061: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3670,type,
    sK3062: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X1,X0)) > X1 ) ).

tff(func_def_3671,type,
    sK3063: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,bool)) * nat ) > nat ) ).

tff(func_def_3672,type,
    sK3064: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,bool)) * nat ) > X0 ) ).

tff(func_def_3673,type,
    sK3065: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,bool)) * list(X0) ) > nat ) ).

tff(func_def_3674,type,
    sK3066: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,bool)) ) > list(X0) ) ).

tff(func_def_3675,type,
    sK3067: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3676,type,
    sK3068: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > nat ) ).

tff(func_def_3677,type,
    sK3069: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3678,type,
    sK3070: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3679,type,
    sK3071: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_3680,type,
    sK3072: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3681,type,
    sK3073: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_3682,type,
    sK3074: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3683,type,
    sK3075: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3684,type,
    sK3076: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_3685,type,
    sK3077: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3686,type,
    sK3078: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_3687,type,
    sK3079: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3688,type,
    sK3080: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_3689,type,
    sK3081: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_3690,type,
    sK3082: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_3691,type,
    sK3083: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_3692,type,
    sK3084: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3693,type,
    sK3085: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3694,type,
    sK3086: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3695,type,
    sK3087: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3696,type,
    sK3088: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3697,type,
    sK3089: ( fun(real,real) * real ) > real ).

tff(func_def_3698,type,
    sK3090: ( fun(real,real) * real ) > real ).

tff(func_def_3699,type,
    sK3091: ( fun(real,real) * real ) > real ).

tff(func_def_3700,type,
    sK3092: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3701,type,
    sK3093: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3702,type,
    sK3094: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3703,type,
    sK3095: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1)) ) > fun(X1,X0) ) ).

tff(func_def_3704,type,
    sK3096: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1)) ) > fun(X1,X0) ) ).

tff(func_def_3705,type,
    sK3097: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1)) ) > X1 ) ).

tff(func_def_3706,type,
    sK3098: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_3707,type,
    sK3099: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > fun(X1,X0) ) ).

tff(func_def_3708,type,
    sK3100: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,bool))) ) > X1 ) ).

tff(func_def_3709,type,
    sK3101: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,bool))) ) > fun(X1,X0) ) ).

tff(func_def_3710,type,
    sK3102: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3711,type,
    sK3103: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3712,type,
    sK3104: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_3713,type,
    sK3105: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3714,type,
    sK3106: 
      !>[X0: $tType] : ( ( fun(X0,bool) * option(X0) ) > X0 ) ).

tff(func_def_3715,type,
    sK3107: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3716,type,
    sK3108: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3717,type,
    sK3109: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3718,type,
    sK3110: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3719,type,
    sK3111: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3720,type,
    sK3112: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3721,type,
    sK3113: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > X0 ) ).

tff(func_def_3722,type,
    sK3114: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > set(X0) ) ).

tff(func_def_3723,type,
    sK3115: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > X0 ) ).

tff(func_def_3724,type,
    sK3116: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > set(X0) ) ).

tff(func_def_3725,type,
    sK3117: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3726,type,
    sK3118: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3727,type,
    sK3119: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3728,type,
    sK3120: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3729,type,
    sK3121: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3730,type,
    sK3122: ( fun(real,real) * real * real ) > real ).

tff(func_def_3731,type,
    sK3123: ( fun(real,real) * real * real ) > real ).

tff(func_def_3732,type,
    sK3124: ( fun(real,real) * real * real ) > real ).

tff(func_def_3733,type,
    sK3125: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),bool) > X1 ) ).

tff(func_def_3734,type,
    sK3126: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),bool) > X0 ) ).

tff(func_def_3735,type,
    sK3127: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),bool) > fun(X1,option(X0)) ) ).

tff(func_def_3736,type,
    sK3128: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3737,type,
    sK3129: fun(nat,fun(real,real)) > nat ).

tff(func_def_3738,type,
    sK3130: fun(nat,fun(real,real)) > real ).

tff(func_def_3739,type,
    sK3131: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3740,type,
    sK3132: fun(nat,fun(real,real)) > nat ).

tff(func_def_3741,type,
    sK3133: fun(nat,fun(real,real)) > real ).

tff(func_def_3742,type,
    sK3134: ( fun(nat,fun(real,real)) * real * nat ) > nat ).

tff(func_def_3743,type,
    sK3135: ( fun(nat,fun(real,real)) * real * nat ) > real ).

tff(func_def_3744,type,
    sK3136: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3745,type,
    sK3137: ( real * real * fun(real,real) ) > real ).

tff(func_def_3746,type,
    sK3138: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3747,type,
    sK3139: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_3748,type,
    sK3140: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3749,type,
    sK3141: ( real * real * fun(real,fun(real,real)) ) > real ).

tff(func_def_3750,type,
    sK3142: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3751,type,
    sK3143: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3752,type,
    sK3144: ( fun(real,real) * real * real ) > real ).

tff(func_def_3753,type,
    sK3145: ( fun(real,real) * real * real ) > real ).

tff(func_def_3754,type,
    sK3146: ( fun(real,real) * real * real ) > real ).

tff(func_def_3755,type,
    sK3147: ( real * fun(real,real) * real * fun(real,real) ) > real ).

tff(func_def_3756,type,
    sK3148: ( real * fun(real,real) * real * fun(real,real) ) > real ).

tff(func_def_3757,type,
    sK3149: ( real * fun(real,real) * real * fun(real,real) ) > real ).

tff(func_def_3758,type,
    sK3150: ( real * real * fun(real,real) ) > real ).

tff(func_def_3759,type,
    sK3151: ( nat * set(nat) ) > nat ).

tff(func_def_3760,type,
    sK3152: ( fun(nat,fun(real,real)) * real * nat ) > nat ).

tff(func_def_3761,type,
    sK3153: ( fun(nat,fun(real,real)) * real * nat ) > real ).

tff(func_def_3762,type,
    sK3154: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3763,type,
    sK3155: ( fun(nat,fun(real,real)) * real * nat ) > nat ).

tff(func_def_3764,type,
    sK3156: ( fun(nat,fun(real,real)) * real * nat ) > real ).

tff(func_def_3765,type,
    sK3157: ( real * fun(nat,fun(real,real)) * fun(real,real) * nat ) > real ).

tff(func_def_3766,type,
    sK3158: ( fun(nat,fun(real,real)) * real * nat ) > nat ).

tff(func_def_3767,type,
    sK3159: ( fun(nat,fun(real,real)) * real * nat ) > real ).

tff(func_def_3768,type,
    sK3160: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3769,type,
    sK3161: ( real * real * fun(real,real) ) > real ).

tff(func_def_3770,type,
    sK3162: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3771,type,
    sK3163: ( real * fun(real,real) * fun(nat,real) * nat ) > real ).

tff(func_def_3772,type,
    sK3164: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_3773,type,
    sK3165: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3774,type,
    sK3166: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,option(X1)) ) > X1 ) ).

tff(func_def_3775,type,
    sK3167: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3776,type,
    sK3168: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3777,type,
    sK3169: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_3778,type,
    sK3170: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3779,type,
    sK3171: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3780,type,
    sK3172: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_3781,type,
    sK3173: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3782,type,
    sK3174: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3783,type,
    sK3175: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3784,type,
    sK3176: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3785,type,
    sK3177: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3786,type,
    sK3178: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3787,type,
    sK3179: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3788,type,
    sK3180: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3789,type,
    sK3181: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3790,type,
    sK3182: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3791,type,
    sK3183: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3792,type,
    sK3184: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3793,type,
    sK3185: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3794,type,
    sK3186: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_3795,type,
    sK3187: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3796,type,
    sK3188: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3797,type,
    sK3189: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3798,type,
    sK3190: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3799,type,
    sK3191: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,bool) ) ).

tff(func_def_3800,type,
    sK3192: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3801,type,
    sK3193: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3802,type,
    sK3194: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3803,type,
    sK3195: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3804,type,
    sK3196: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3805,type,
    sK3197: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3806,type,
    sK3198: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3807,type,
    sK3199: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3808,type,
    sK3200: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X1,X0)) * list(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3809,type,
    sK3201: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3810,type,
    sK3202: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3811,type,
    sK3203: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3812,type,
    sK3204: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3813,type,
    sK3205: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3814,type,
    sK3206: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3815,type,
    sK3207: fun(nat,fun(real,real)) > nat ).

tff(func_def_3816,type,
    sK3208: fun(nat,fun(real,real)) > real ).

tff(func_def_3817,type,
    sK3209: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,bool)) * X0 ) > X0 ) ).

tff(func_def_3818,type,
    sK3210: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * bool ) > X0 ) ).

tff(func_def_3819,type,
    sK3211: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * bool ) > list(X0) ) ).

tff(func_def_3820,type,
    sK3212: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3821,type,
    sK3213: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3822,type,
    sK3214: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3823,type,
    sK3215: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3824,type,
    sK3216: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3825,type,
    sK3217: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3826,type,
    sK3218: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3827,type,
    sK3219: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3828,type,
    sK3220: 
      !>[X0: $tType] : ( ( nat * fun(X0,bool) * list(X0) ) > nat ) ).

tff(func_def_3829,type,
    sK3221: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * nat ) > nat ) ).

tff(func_def_3830,type,
    sK3222: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3831,type,
    sK3223: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3832,type,
    sK3224: ( real * real * fun(real,real) ) > real ).

tff(func_def_3833,type,
    sK3225: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3834,type,
    sK3226: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > nat ) ).

tff(func_def_3835,type,
    sK3227: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3836,type,
    sK3228: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3837,type,
    sK3229: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3838,type,
    sK3230: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_3839,type,
    sK3231: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3840,type,
    sK3232: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3841,type,
    sK3233: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_3842,type,
    sK3234: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_3843,type,
    sK3235: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),bool) > X1 ) ).

tff(func_def_3844,type,
    sK3236: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),bool) > X0 ) ).

tff(func_def_3845,type,
    sK3237: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3846,type,
    sK3238: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3847,type,
    sK3239: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,bool)) ) > X1 ) ).

tff(func_def_3848,type,
    sK3240: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,bool)) ) > X0 ) ).

tff(func_def_3849,type,
    sK3241: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3850,type,
    sK3242: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3851,type,
    sK3243: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3852,type,
    sK3244: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3853,type,
    sK3245: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > X0 ) ).

tff(func_def_3854,type,
    sK3246: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > X0 ) ).

tff(func_def_3855,type,
    sK3247: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3856,type,
    sK3248: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3857,type,
    sK3249: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3858,type,
    sK3250: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3859,type,
    sK3251: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3860,type,
    sK3252: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3861,type,
    sK3253: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * nat ) > nat ) ).

tff(func_def_3862,type,
    sK3254: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 ) > nat ) ).

tff(func_def_3863,type,
    sK3255: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * nat ) > nat ) ).

tff(func_def_3864,type,
    sK3256: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 ) > nat ) ).

tff(func_def_3865,type,
    sK3257: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X1 ) > X0 ) ).

tff(func_def_3866,type,
    sK3258: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_3867,type,
    sK3259: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3868,type,
    sK3260: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3869,type,
    sK3261: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3870,type,
    sK3262: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3871,type,
    sK3263: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3872,type,
    sK3264: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > nat ) ).

tff(func_def_3873,type,
    sK3265: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_3874,type,
    sK3266: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_3875,type,
    sK3267: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_3876,type,
    sK3268: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_3877,type,
    sK3269: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_3878,type,
    sK3270: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3879,type,
    sK3271: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3880,type,
    sK3272: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_3881,type,
    sK3273: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > X0 ) ).

tff(func_def_3882,type,
    sK3274: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_3883,type,
    sK3275: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3884,type,
    sK3276: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3885,type,
    sK3277: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3886,type,
    sK3278: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3887,type,
    sK3279: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3888,type,
    sK3280: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3889,type,
    sK3281: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3890,type,
    sK3282: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3891,type,
    sK3283: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3892,type,
    sK3284: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3893,type,
    sK3285: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3894,type,
    sK3286: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3895,type,
    sK3287: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3896,type,
    sK3288: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3897,type,
    sK3289: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3898,type,
    sK3290: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3899,type,
    sK3291: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3900,type,
    sK3292: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3901,type,
    sK3293: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3902,type,
    sK3294: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3903,type,
    sK3295: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3904,type,
    sK3296: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3905,type,
    sK3297: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3906,type,
    sK3298: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3907,type,
    sK3299: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3908,type,
    sK3300: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3909,type,
    sK3301: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3910,type,
    sK3302: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3911,type,
    sK3303: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_3912,type,
    sK3304: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3913,type,
    sK3305: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3914,type,
    sK3306: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_3915,type,
    sK3307: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3916,type,
    sK3308: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3917,type,
    sK3309: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_3918,type,
    sK3310: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_3919,type,
    sK3311: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_3920,type,
    sK3312: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_3921,type,
    sK3313: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3922,type,
    sK3314: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3923,type,
    sK3315: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3924,type,
    sK3316: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3925,type,
    sK3317: ( nat * nat * nat ) > nat ).

tff(func_def_3926,type,
    sK3318: ( nat * nat * nat ) > nat ).

tff(func_def_3927,type,
    sK3319: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3928,type,
    sK3320: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_3929,type,
    sK3321: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_3930,type,
    sK3322: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3931,type,
    sK3323: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3932,type,
    sK3324: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3933,type,
    sK3325: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3934,type,
    sK3326: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_3935,type,
    sK3327: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_3936,type,
    sK3328: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_3937,type,
    sK3329: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_3938,type,
    sK3330: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3939,type,
    sK3331: ( real * real * fun(real,real) ) > real ).

tff(func_def_3940,type,
    sK3332: ( real * real * fun(real,real) ) > real ).

tff(func_def_3941,type,
    sK3333: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_3942,type,
    sK3334: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_3943,type,
    sK3335: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_3944,type,
    sK3336: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_3945,type,
    sK3337: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_3946,type,
    sK3338: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3947,type,
    sK3339: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3948,type,
    sK3340: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_3949,type,
    sK3341: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_3950,type,
    sK3342: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_3951,type,
    sK3343: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_3952,type,
    sK3344: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_3953,type,
    sK3345: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_3954,type,
    sK3346: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_3955,type,
    sK3347: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_3956,type,
    sK3348: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3957,type,
    sK3349: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3958,type,
    sK3350: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_3959,type,
    sK3351: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_3960,type,
    sK3352: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3961,type,
    sK3353: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_3962,type,
    sK3354: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3963,type,
    sK3355: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_3964,type,
    sK3356: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_3965,type,
    sK3357: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3966,type,
    sK3358: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,option(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3967,type,
    sK3359: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3968,type,
    sK3360: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_3969,type,
    sK3361: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_3970,type,
    sK3362: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3971,type,
    sK3363: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3972,type,
    sK3364: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3973,type,
    sK3365: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X1 ) ).

tff(func_def_3974,type,
    sK3366: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3975,type,
    sK3367: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3976,type,
    sK3368: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3977,type,
    sK3369: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3978,type,
    sK3370: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3979,type,
    sK3371: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3980,type,
    sK3372: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3981,type,
    sK3373: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3982,type,
    sK3374: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3983,type,
    sK3375: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,bool)) ) > X0 ) ).

tff(func_def_3984,type,
    sK3376: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,bool)) ) > X0 ) ).

tff(func_def_3985,type,
    sK3377: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3986,type,
    sK3378: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3987,type,
    sK3379: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3988,type,
    sK3380: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_3989,type,
    sK3381: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,bool)) * X0 * nat ) > X0 ) ).

tff(func_def_3990,type,
    sK3382: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,bool)) * X0 * nat ) > nat ) ).

tff(func_def_3991,type,
    sK3383: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,bool)) * X0 * nat ) > X0 ) ).

tff(func_def_3992,type,
    sK3384: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,bool)) * X0 * nat ) > nat ) ).

tff(func_def_3993,type,
    sK3385: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,bool)) * X0 * X0 ) > X0 ) ).

tff(func_def_3994,type,
    sK3386: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,bool)) * X0 * X0 ) > X0 ) ).

tff(func_def_3995,type,
    sK3387: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,bool)) * X0 * X0 ) > X0 ) ).

tff(func_def_3996,type,
    sK3388: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_3997,type,
    sK3389: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_3998,type,
    sK3390: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_3999,type,
    sK3391: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4000,type,
    sK3392: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_4001,type,
    sK3393: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * nat ) > X0 ) ).

tff(func_def_4002,type,
    sK3394: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * nat ) > nat ) ).

tff(func_def_4003,type,
    sK3395: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * nat ) > X0 ) ).

tff(func_def_4004,type,
    sK3396: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * nat ) > nat ) ).

tff(func_def_4005,type,
    sK3397: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4006,type,
    sK3398: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4007,type,
    sK3399: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4008,type,
    sK3400: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4009,type,
    sK3401: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4010,type,
    sK3402: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4011,type,
    sK3403: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4012,type,
    sK3404: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4013,type,
    sK3405: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4014,type,
    sK3406: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4015,type,
    sK3407: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4016,type,
    sK3408: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4017,type,
    sK3409: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),bool)) ) > X1 ) ).

tff(func_def_4018,type,
    sK3410: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),bool)) ) > X0 ) ).

tff(func_def_4019,type,
    sK3411: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4020,type,
    sK3412: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4021,type,
    sK3413: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4022,type,
    sK3414: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4023,type,
    sK3415: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_4024,type,
    sK3416: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_4025,type,
    sK3417: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4026,type,
    sK3418: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4027,type,
    sK3419: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_4028,type,
    sK3420: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4029,type,
    sK3421: list(vEBT_VEBT) > nat ).

tff(func_def_4030,type,
    sK3422: vEBT_VEBT > nat ).

tff(func_def_4031,type,
    sK3423: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4032,type,
    sK3424: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4033,type,
    sK3425: list(vEBT_VEBT) > nat ).

tff(func_def_4034,type,
    sK3426: vEBT_VEBT > nat ).

tff(func_def_4035,type,
    sK3427: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4036,type,
    sK3428: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4037,type,
    sK3429: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4038,type,
    sK3430: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_4039,type,
    sK3431: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_4040,type,
    sK3432: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4041,type,
    sK3433: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4042,type,
    sK3434: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_4043,type,
    sK3435: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_4044,type,
    sK3436: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).

tff(func_def_4045,type,
    sK3437: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).

tff(func_def_4046,type,
    sK3438: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).

tff(func_def_4047,type,
    sK3439: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4048,type,
    sK3440: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_4049,type,
    sK3441: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4050,type,
    sK3442: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4051,type,
    sK3443: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4052,type,
    sK3444: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4053,type,
    sK3445: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4054,type,
    sK3446: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * filter(X1) ) > set(X0) ) ).

tff(func_def_4055,type,
    sK3447: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(X1,bool) * fun(X0,bool) ) > X1 ) ).

tff(func_def_4056,type,
    sK3448: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(X1,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_4057,type,
    sK3449: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * filter(X0) * filter(X1) ) > fun(X1,bool) ) ).

tff(func_def_4058,type,
    sK3450: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * filter(X0) * filter(X1) ) > fun(X0,bool) ) ).

tff(func_def_4059,type,
    sK3451: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_4060,type,
    sK3452: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_4061,type,
    sK3453: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4062,type,
    sK3454: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_4063,type,
    sK3455: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * X1 ) > X0 ) ).

tff(func_def_4064,type,
    sK3456: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4065,type,
    sK3457: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4066,type,
    sK3458: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_4067,type,
    sK3459: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4068,type,
    sK3460: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4069,type,
    sK3461: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_4070,type,
    sK3462: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_4071,type,
    sK3463: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4072,type,
    sK3464: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4073,type,
    sK3465: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_4074,type,
    sK3466: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4075,type,
    sK3467: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4076,type,
    sK3468: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_4077,type,
    sK3469: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * product_prod(X1,X0) ) > X1 ) ).

tff(func_def_4078,type,
    sK3470: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_4079,type,
    sK3471: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_4080,type,
    sK3472: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4081,type,
    sK3473: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4082,type,
    sK3474: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_4083,type,
    sK3475: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4084,type,
    sK3476: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4085,type,
    sK3477: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4086,type,
    sK3478: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4087,type,
    sK3479: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4088,type,
    sK3480: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4089,type,
    sK3481: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4090,type,
    sK3482: list(vEBT_VEBT) > nat ).

tff(func_def_4091,type,
    sK3483: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4092,type,
    sK3484: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4093,type,
    sK3485: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4094,type,
    sK3486: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4095,type,
    sK3487: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4096,type,
    sK3488: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * nat * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_4097,type,
    sK3489: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4098,type,
    sK3490: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4099,type,
    sK3491: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4100,type,
    sK3492: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4101,type,
    sK3493: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4102,type,
    sK3494: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4103,type,
    sK3495: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4104,type,
    sK3496: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4105,type,
    sK3497: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4106,type,
    sK3498: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4107,type,
    sK3499: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_4108,type,
    sK3500: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_4109,type,
    sK3501: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_4110,type,
    sK3502: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_4111,type,
    sK3503: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4112,type,
    sK3504: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_4113,type,
    sK3505: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4114,type,
    sK3506: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_4115,type,
    sK3507: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4116,type,
    sK3508: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X1) ) ).

tff(func_def_4117,type,
    sK3509: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X0) ) ).

tff(func_def_4118,type,
    sK3510: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X1) ) ).

tff(func_def_4119,type,
    sK3511: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X0) ) ).

tff(func_def_4120,type,
    sK3512: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X1) ) ).

tff(func_def_4121,type,
    sK3513: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X0) ) ).

tff(func_def_4122,type,
    sK3514: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X0) ) ).

tff(func_def_4123,type,
    sK3515: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X1) ) ).

tff(func_def_4124,type,
    sK3516: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X0) ) ).

tff(func_def_4125,type,
    sK3517: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),bool) ) > set(X1) ) ).

tff(func_def_4126,type,
    sK3518: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 * X1 ) > X0 ) ).

tff(func_def_4127,type,
    sK3519: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_4128,type,
    sK3520: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_4129,type,
    sK3521: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_4130,type,
    sK3522: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_4131,type,
    sK3523: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,bool) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4132,type,
    sK3524: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4133,type,
    sK3525: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4134,type,
    sK3526: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4135,type,
    sK3527: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4136,type,
    sK3528: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4137,type,
    sK3529: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,list(X0)) * fun(X1,list(X0)) ) > X1 ) ).

tff(func_def_4138,type,
    sK3530: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4139,type,
    sK3531: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,bool)) * nat ) > X1 ) ).

tff(func_def_4140,type,
    sK3532: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4141,type,
    sK3533: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4142,type,
    sK3534: ( fun(real,real) * real * real ) > real ).

tff(func_def_4143,type,
    sK3535: ( fun(real,real) * real * real ) > real ).

tff(func_def_4144,type,
    sK3536: ( real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4145,type,
    sK3537: ( fun(nat,fun(real,real)) * real * real * nat ) > nat ).

tff(func_def_4146,type,
    sK3538: ( fun(nat,fun(real,real)) * real * real * nat ) > real ).

tff(func_def_4147,type,
    sK3539: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4148,type,
    sK3540: ( fun(nat,fun(real,real)) * real * real * nat ) > nat ).

tff(func_def_4149,type,
    sK3541: ( fun(nat,fun(real,real)) * real * real * nat ) > real ).

tff(func_def_4150,type,
    sK3542: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4151,type,
    sK3543: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4152,type,
    sK3544: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4153,type,
    sK3545: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4154,type,
    sK3546: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4155,type,
    sK3547: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,bool) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_4156,type,
    sK3548: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,bool) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_4157,type,
    sK3549: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_4158,type,
    sK3550: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4159,type,
    sK3551: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_4160,type,
    sK3552: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_4161,type,
    sK3553: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_4162,type,
    sK3554: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_4163,type,
    sK3555: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_4164,type,
    sK3556: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,bool))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_4165,type,
    sK3557: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,bool))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_4166,type,
    sK3558: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_4167,type,
    sK3559: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_4168,type,
    sK3560: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_4169,type,
    sK3561: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_4170,type,
    sK3562: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_4171,type,
    sK3563: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_4172,type,
    sK3564: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_4173,type,
    sK3565: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4174,type,
    sK3566: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_4175,type,
    sK3567: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4176,type,
    sK3568: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_4177,type,
    sK3569: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_4178,type,
    sK3570: ( fun(nat,real) * fun(real,fun(nat,real)) * real * real ) > nat ).

tff(func_def_4179,type,
    sK3571: ( fun(nat,real) * fun(real,fun(nat,real)) * real * real ) > real ).

tff(func_def_4180,type,
    sK3572: ( fun(nat,real) * fun(real,fun(nat,real)) * real * real ) > real ).

tff(func_def_4181,type,
    sK3573: ( fun(real,fun(nat,real)) * real * real ) > real ).

tff(func_def_4182,type,
    sK3574: ( fun(real,fun(nat,real)) * fun(real,fun(nat,real)) * real ) > nat ).

tff(func_def_4183,type,
    sK3575: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_4184,type,
    sK3576: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4185,type,
    sK3577: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4186,type,
    sK3578: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4187,type,
    sK3579: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_4188,type,
    sK3580: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,bool))) * X2 ) > X0 ) ).

tff(func_def_4189,type,
    sK3581: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,bool))) * X2 ) > X1 ) ).

tff(func_def_4190,type,
    sK3582: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_4191,type,
    sK3583: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_4192,type,
    sK3584: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4193,type,
    sK3585: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4194,type,
    sK3586: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).

tff(func_def_4195,type,
    sK3587: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).

tff(func_def_4196,type,
    sK3588: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).

tff(func_def_4197,type,
    sK3589: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).

tff(func_def_4198,type,
    sK3590: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_4199,type,
    sK3591: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4200,type,
    sK3592: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_4201,type,
    sK3593: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_4202,type,
    sK3594: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4203,type,
    sK3595: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4204,type,
    sK3596: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_4205,type,
    sK3597: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_4206,type,
    sK3598: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_4207,type,
    sK3599: 
      !>[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_4208,type,
    sK3600: 
      !>[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_4209,type,
    sK3601: 
      !>[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_4210,type,
    sK3602: 
      !>[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_4211,type,
    sK3603: 
      !>[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_4212,type,
    sK3604: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_4213,type,
    sK3605: ( fun(nat,fun(real,real)) * real * real * nat ) > nat ).

tff(func_def_4214,type,
    sK3606: ( fun(nat,fun(real,real)) * real * real * nat ) > real ).

tff(func_def_4215,type,
    sK3607: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4216,type,
    sK3608: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > X1 ) ).

tff(func_def_4217,type,
    sK3609: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > list(X1) ) ).

tff(func_def_4218,type,
    sK3610: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > X0 ) ).

tff(func_def_4219,type,
    sK3611: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > list(X0) ) ).

tff(func_def_4220,type,
    sK3612: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > X2 ) ).

tff(func_def_4221,type,
    sK3613: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > list(X2) ) ).

tff(func_def_4222,type,
    sK3614: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_4223,type,
    sK3615: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_4224,type,
    sK3616: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X1 ) ).

tff(func_def_4225,type,
    sK3617: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X0 ) ).

tff(func_def_4226,type,
    sK3618: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4227,type,
    sK3619: list(vEBT_VEBT) > nat ).

tff(func_def_4228,type,
    sK3620: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4229,type,
    sK3621: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4230,type,
    sK3622: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_4231,type,
    sK3623: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_4232,type,
    sK3624: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4233,type,
    sK3625: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4234,type,
    sK3626: list(vEBT_VEBT) > nat ).

tff(func_def_4235,type,
    sK3627: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4236,type,
    sK3628: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4237,type,
    sK3629: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_4238,type,
    sK3630: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_4239,type,
    sK3631: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4240,type,
    sK3632: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool) ) > X1 ) ).

tff(func_def_4241,type,
    sK3633: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool) ) > X0 ) ).

tff(func_def_4242,type,
    sK3634: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_4243,type,
    sK3635: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4244,type,
    sK3636: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4245,type,
    sK3637: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4246,type,
    sK3638: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4247,type,
    sK3639: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_4248,type,
    sK3640: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_4249,type,
    sK3641: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).

tff(func_def_4250,type,
    sK3642: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).

tff(func_def_4251,type,
    sK3643: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X2 ) ).

tff(func_def_4252,type,
    sK3644: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X1 ) ).

tff(func_def_4253,type,
    sK3645: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).

tff(func_def_4254,type,
    sK3646: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1 ) > X2 ) ).

tff(func_def_4255,type,
    sK3647: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_4256,type,
    sK3648: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_4257,type,
    sK3649: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_4258,type,
    sK3650: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0) ) > X2 ) ).

tff(func_def_4259,type,
    sK3651: 
      !>[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_4260,type,
    sK3652: 
      !>[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_4261,type,
    sK3653: 
      !>[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_4262,type,
    sK3654: 
      !>[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_4263,type,
    sK3655: 
      !>[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_4264,type,
    sK3656: 
      !>[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_4265,type,
    sK3657: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4266,type,
    sK3658: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X0 ) ).

tff(func_def_4267,type,
    sK3659: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X1 ) ).

tff(func_def_4268,type,
    sK3660: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_4269,type,
    sK3661: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4270,type,
    sK3662: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4271,type,
    sK3663: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1 ) > X1 ) ).

tff(func_def_4272,type,
    sK3664: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1 ) > X0 ) ).

tff(func_def_4273,type,
    sK3665: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1 ) > X1 ) ).

tff(func_def_4274,type,
    sK3666: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1 ) > X0 ) ).

tff(func_def_4275,type,
    sK3667: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_4276,type,
    sK3668: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X1 ) ).

tff(func_def_4277,type,
    sK3669: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_4278,type,
    sK3670: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X1 ) ).

tff(func_def_4279,type,
    sK3671: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_4280,type,
    sK3672: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X1 ) ).

tff(func_def_4281,type,
    sK3673: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_4282,type,
    sK3674: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X1 ) ).

tff(func_def_4283,type,
    sK3675: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_4284,type,
    sK3676: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool)) ) > X1 ) ).

tff(func_def_4285,type,
    sK3677: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4286,type,
    sK3678: 
      !>[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))))),bool) > X5 ) ).

tff(func_def_4287,type,
    sK3679: 
      !>[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))))),bool) > X4 ) ).

tff(func_def_4288,type,
    sK3680: 
      !>[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))))),bool) > X3 ) ).

tff(func_def_4289,type,
    sK3681: 
      !>[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))))),bool) > X2 ) ).

tff(func_def_4290,type,
    sK3682: 
      !>[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))))),bool) > X1 ) ).

tff(func_def_4291,type,
    sK3683: 
      !>[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))))),bool) > X0 ) ).

tff(func_def_4292,type,
    sK3684: 
      !>[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_4293,type,
    sK3685: 
      !>[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_4294,type,
    sK3686: 
      !>[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_4295,type,
    sK3687: 
      !>[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_4296,type,
    sK3688: 
      !>[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_4297,type,
    sK3689: 
      !>[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_4298,type,
    sK3690: 
      !>[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_4299,type,
    sK3691: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1) ) > X1 ) ).

tff(func_def_4300,type,
    sK3692: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1) ) > X1 ) ).

tff(func_def_4301,type,
    sK3693: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1) * X3 ) > X2 ) ).

tff(func_def_4302,type,
    sK3694: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * X1 ) > X3 ) ).

tff(func_def_4303,type,
    sK3695: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4304,type,
    sK3696: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4305,type,
    sK3697: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > X3 ) ).

tff(func_def_4306,type,
    sK3698: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > list(X3) ) ).

tff(func_def_4307,type,
    sK3699: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > X2 ) ).

tff(func_def_4308,type,
    sK3700: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > list(X2) ) ).

tff(func_def_4309,type,
    sK3701: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > X1 ) ).

tff(func_def_4310,type,
    sK3702: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > list(X1) ) ).

tff(func_def_4311,type,
    sK3703: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > X0 ) ).

tff(func_def_4312,type,
    sK3704: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > list(X0) ) ).

tff(func_def_4313,type,
    sK3705: 
      !>[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)))))),bool) > X6 ) ).

tff(func_def_4314,type,
    sK3706: 
      !>[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)))))),bool) > X5 ) ).

tff(func_def_4315,type,
    sK3707: 
      !>[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)))))),bool) > X4 ) ).

tff(func_def_4316,type,
    sK3708: 
      !>[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)))))),bool) > X3 ) ).

tff(func_def_4317,type,
    sK3709: 
      !>[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)))))),bool) > X2 ) ).

tff(func_def_4318,type,
    sK3710: 
      !>[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)))))),bool) > X1 ) ).

tff(func_def_4319,type,
    sK3711: 
      !>[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)))))),bool) > X0 ) ).

tff(func_def_4320,type,
    sK3712: nat ).

tff(func_def_4321,type,
    sK3713: nat ).

tff(func_def_4322,type,
    sK3714: real ).

tff(pred_def_1,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    real_V6157519004096292374lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    euclid5891614535332579305n_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    topolo4987421752381908075d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_169,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_170,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_171,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_172,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_173,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_174,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_175,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_176,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_177,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,bool) * filter(X0) ) > $o ) ).

tff(pred_def_178,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_179,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_180,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_181,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_182,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_183,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_184,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_185,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_186,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_187,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_188,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_189,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_190,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_191,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_192,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_193,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_194,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > $o ) ).

tff(pred_def_195,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_196,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_197,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_198,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_199,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_200,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_201,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_202,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_203,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_204,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_205,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_206,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_207,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_208,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_209,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_210,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_211,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_212,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_213,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_214,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_215,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_216,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_217,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_218,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_219,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_220,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_221,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_222,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_223,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_224,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_225,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_226,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_227,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 ) > $o ) ).

tff(pred_def_228,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_229,type,
    pp: bool > $o ).

tff(pred_def_231,type,
    sP1: 
      !>[X0: $tType] : ( ( real * X0 ) > $o ) ).

tff(pred_def_232,type,
    sP2: 
      !>[X0: $tType] : $o ).

tff(pred_def_233,type,
    sP3: 
      !>[X0: $tType] : ( ( real * X0 ) > $o ) ).

tff(pred_def_234,type,
    sP4: 
      !>[X0: $tType] : $o ).

tff(pred_def_235,type,
    sP5: 
      !>[X0: $tType] : ( ( X0 * X0 * real ) > $o ) ).

tff(pred_def_236,type,
    sP6: 
      !>[X0: $tType] : $o ).

tff(pred_def_237,type,
    sP7: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_238,type,
    sP8: 
      !>[X0: $tType] : $o ).

tff(pred_def_239,type,
    sP9: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_240,type,
    sP10: 
      !>[X0: $tType] : $o ).

tff(pred_def_241,type,
    sP11: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_242,type,
    sP12: 
      !>[X0: $tType] : $o ).

tff(pred_def_243,type,
    sP13: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_244,type,
    sP14: 
      !>[X0: $tType] : $o ).

tff(pred_def_245,type,
    sP15: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_246,type,
    sP16: 
      !>[X0: $tType] : $o ).

tff(pred_def_247,type,
    sP17: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_248,type,
    sP18: 
      !>[X0: $tType] : $o ).

tff(pred_def_249,type,
    sP19: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_250,type,
    sP20: 
      !>[X0: $tType] : $o ).

tff(pred_def_251,type,
    sP21: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_252,type,
    sP22: 
      !>[X0: $tType] : $o ).

tff(pred_def_253,type,
    sP23: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_254,type,
    sP24: 
      !>[X0: $tType] : $o ).

tff(pred_def_255,type,
    sP25: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_256,type,
    sP26: 
      !>[X0: $tType] : $o ).

tff(pred_def_257,type,
    sP27: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_258,type,
    sP28: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_259,type,
    sP29: 
      !>[X0: $tType] : $o ).

tff(pred_def_260,type,
    sP30: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_261,type,
    sP31: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_262,type,
    sP32: 
      !>[X0: $tType] : $o ).

tff(pred_def_263,type,
    sP33: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_264,type,
    sP34: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_265,type,
    sP35: 
      !>[X0: $tType] : $o ).

tff(pred_def_266,type,
    sP36: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_267,type,
    sP37: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_268,type,
    sP38: 
      !>[X0: $tType] : $o ).

tff(pred_def_269,type,
    sP39: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_270,type,
    sP40: 
      !>[X0: $tType] : $o ).

tff(pred_def_271,type,
    sP41: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_272,type,
    sP42: 
      !>[X0: $tType] : $o ).

tff(pred_def_273,type,
    sP43: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_274,type,
    sP44: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_275,type,
    sP45: 
      !>[X0: $tType] : $o ).

tff(pred_def_276,type,
    sP46: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_277,type,
    sP47: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_278,type,
    sP48: 
      !>[X0: $tType] : $o ).

tff(pred_def_279,type,
    sP49: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_280,type,
    sP50: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_281,type,
    sP51: 
      !>[X0: $tType] : $o ).

tff(pred_def_282,type,
    sP52: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_283,type,
    sP53: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_284,type,
    sP54: 
      !>[X0: $tType] : $o ).

tff(pred_def_285,type,
    sP55: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_286,type,
    sP56: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_287,type,
    sP57: 
      !>[X0: $tType] : $o ).

tff(pred_def_288,type,
    sP58: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_289,type,
    sP59: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_290,type,
    sP60: 
      !>[X0: $tType] : $o ).

tff(pred_def_291,type,
    sP61: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_292,type,
    sP62: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_293,type,
    sP63: 
      !>[X0: $tType] : $o ).

tff(pred_def_294,type,
    sP64: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_295,type,
    sP65: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_296,type,
    sP66: 
      !>[X0: $tType] : $o ).

tff(pred_def_297,type,
    sP67: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_298,type,
    sP68: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_299,type,
    sP69: 
      !>[X0: $tType] : $o ).

tff(pred_def_300,type,
    sP70: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_301,type,
    sP71: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_302,type,
    sP72: 
      !>[X0: $tType] : $o ).

tff(pred_def_303,type,
    sP73: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_304,type,
    sP74: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_305,type,
    sP75: 
      !>[X0: $tType] : $o ).

tff(pred_def_306,type,
    sP76: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_307,type,
    sP77: 
      !>[X0: $tType] : ( ( X0 * X0 * num ) > $o ) ).

tff(pred_def_308,type,
    sP78: 
      !>[X0: $tType] : $o ).

tff(pred_def_309,type,
    sP79: 
      !>[X0: $tType] : ( ( X0 * real * X0 * real ) > $o ) ).

tff(pred_def_310,type,
    sP80: 
      !>[X0: $tType] : $o ).

tff(pred_def_311,type,
    sP81: 
      !>[X0: $tType] : ( ( X0 * real * X0 * real ) > $o ) ).

tff(pred_def_312,type,
    sP82: 
      !>[X0: $tType] : $o ).

tff(pred_def_313,type,
    sP83: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_314,type,
    sP84: 
      !>[X0: $tType] : $o ).

tff(pred_def_315,type,
    sP85: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_316,type,
    sP86: 
      !>[X0: $tType] : $o ).

tff(pred_def_317,type,
    sP87: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_318,type,
    sP88: 
      !>[X0: $tType] : $o ).

tff(pred_def_319,type,
    sP89: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_320,type,
    sP90: 
      !>[X0: $tType] : $o ).

tff(pred_def_321,type,
    sP91: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_322,type,
    sP92: 
      !>[X0: $tType] : $o ).

tff(pred_def_323,type,
    sP93: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > $o ) ).

tff(pred_def_324,type,
    sP94: 
      !>[X0: $tType] : $o ).

tff(pred_def_325,type,
    sP95: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * set(X0) ) > $o ) ).

tff(pred_def_326,type,
    sP96: 
      !>[X0: $tType] : $o ).

tff(pred_def_327,type,
    sP97: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * set(X0) ) > $o ) ).

tff(pred_def_328,type,
    sP98: 
      !>[X0: $tType] : $o ).

tff(pred_def_329,type,
    sP99: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_330,type,
    sP100: 
      !>[X0: $tType] : $o ).

tff(pred_def_331,type,
    sP101: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_332,type,
    sP102: 
      !>[X0: $tType] : $o ).

tff(pred_def_333,type,
    sP103: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_334,type,
    sP104: 
      !>[X0: $tType] : $o ).

tff(pred_def_335,type,
    sP105: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_336,type,
    sP106: 
      !>[X0: $tType] : $o ).

tff(pred_def_337,type,
    sP107: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_338,type,
    sP108: 
      !>[X0: $tType] : $o ).

tff(pred_def_339,type,
    sP109: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_340,type,
    sP110: 
      !>[X0: $tType] : $o ).

tff(pred_def_341,type,
    sP111: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_342,type,
    sP112: 
      !>[X0: $tType] : $o ).

tff(pred_def_343,type,
    sP113: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_344,type,
    sP114: 
      !>[X0: $tType] : $o ).

tff(pred_def_345,type,
    sP115: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_346,type,
    sP116: 
      !>[X0: $tType] : $o ).

tff(pred_def_347,type,
    sP117: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_348,type,
    sP118: 
      !>[X0: $tType] : $o ).

tff(pred_def_349,type,
    sP119: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_350,type,
    sP120: 
      !>[X0: $tType] : $o ).

tff(pred_def_351,type,
    sP121: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_352,type,
    sP122: 
      !>[X0: $tType] : $o ).

tff(pred_def_353,type,
    sP123: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_354,type,
    sP124: 
      !>[X0: $tType] : $o ).

tff(pred_def_355,type,
    sP125: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_356,type,
    sP126: 
      !>[X0: $tType] : $o ).

tff(pred_def_357,type,
    sP127: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_358,type,
    sP128: 
      !>[X0: $tType] : $o ).

tff(pred_def_359,type,
    sP129: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_360,type,
    sP130: 
      !>[X0: $tType] : $o ).

tff(pred_def_361,type,
    sP131: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_362,type,
    sP132: 
      !>[X0: $tType] : $o ).

tff(pred_def_363,type,
    sP133: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_364,type,
    sP134: 
      !>[X0: $tType] : $o ).

tff(pred_def_365,type,
    sP135: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_366,type,
    sP136: 
      !>[X0: $tType] : $o ).

tff(pred_def_367,type,
    sP137: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_368,type,
    sP138: 
      !>[X0: $tType] : $o ).

tff(pred_def_369,type,
    sP139: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_370,type,
    sP140: 
      !>[X0: $tType] : $o ).

tff(pred_def_371,type,
    sP141: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_372,type,
    sP142: 
      !>[X0: $tType] : $o ).

tff(pred_def_373,type,
    sP143: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_374,type,
    sP144: 
      !>[X0: $tType] : $o ).

tff(pred_def_375,type,
    sP145: 
      !>[X0: $tType] : ( fun(X0,bool) > $o ) ).

tff(pred_def_376,type,
    sP146: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_377,type,
    sP147: 
      !>[X0: $tType] : $o ).

tff(pred_def_378,type,
    sP148: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(pred_def_379,type,
    sP149: 
      !>[X0: $tType] : $o ).

tff(pred_def_380,type,
    sP150: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(pred_def_381,type,
    sP151: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > $o ) ).

tff(pred_def_382,type,
    sP152: 
      !>[X0: $tType] : $o ).

tff(pred_def_383,type,
    sP153: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_384,type,
    sP154: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(pred_def_385,type,
    sP155: 
      !>[X0: $tType] : ( ( X0 * X0 * nat ) > $o ) ).

tff(pred_def_386,type,
    sP156: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_387,type,
    sP157: 
      !>[X0: $tType] : $o ).

tff(pred_def_388,type,
    sP158: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_389,type,
    sP159: 
      !>[X0: $tType] : $o ).

tff(pred_def_390,type,
    sP160: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_391,type,
    sP161: 
      !>[X0: $tType] : $o ).

tff(pred_def_392,type,
    sP162: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_393,type,
    sP163: 
      !>[X0: $tType] : $o ).

tff(pred_def_394,type,
    sP164: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_395,type,
    sP165: 
      !>[X0: $tType] : $o ).

tff(pred_def_396,type,
    sP166: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_397,type,
    sP167: 
      !>[X0: $tType] : $o ).

tff(pred_def_398,type,
    sP168: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_399,type,
    sP169: 
      !>[X0: $tType] : $o ).

tff(pred_def_400,type,
    sP170: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_401,type,
    sP171: 
      !>[X0: $tType] : $o ).

tff(pred_def_402,type,
    sP172: 
      !>[X0: $tType] : ( ( X0 * nat ) > $o ) ).

tff(pred_def_403,type,
    sP173: 
      !>[X0: $tType] : $o ).

tff(pred_def_404,type,
    sP174: 
      !>[X0: $tType] : ( ( X0 * nat ) > $o ) ).

tff(pred_def_405,type,
    sP175: 
      !>[X0: $tType] : ( ( X0 * num ) > $o ) ).

tff(pred_def_406,type,
    sP176: 
      !>[X0: $tType] : $o ).

tff(pred_def_407,type,
    sP177: 
      !>[X0: $tType] : ( ( X0 * num ) > $o ) ).

tff(pred_def_408,type,
    sP178: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > $o ) ).

tff(pred_def_409,type,
    sP179: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_410,type,
    sP180: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_411,type,
    sP181: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_412,type,
    sP182: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_413,type,
    sP183: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_414,type,
    sP184: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_415,type,
    sP185: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_416,type,
    sP186: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_417,type,
    sP187: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_418,type,
    sP188: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_419,type,
    sP189: 
      !>[X0: $tType] : ( ( fun(X0,bool) * bool ) > $o ) ).

tff(pred_def_420,type,
    sP190: 
      !>[X0: $tType] : $o ).

tff(pred_def_421,type,
    sP191: 
      !>[X0: $tType] : ( ( fun(X0,bool) * bool ) > $o ) ).

tff(pred_def_422,type,
    sP192: 
      !>[X0: $tType] : $o ).

tff(pred_def_423,type,
    sP193: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > $o ) ).

tff(pred_def_424,type,
    sP194: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_425,type,
    sP195: 
      !>[X0: $tType] : $o ).

tff(pred_def_426,type,
    sP196: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_427,type,
    sP197: 
      !>[X0: $tType] : $o ).

tff(pred_def_428,type,
    sP198: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > $o ) ).

tff(pred_def_429,type,
    sP199: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_430,type,
    sP200: 
      !>[X0: $tType] : $o ).

tff(pred_def_431,type,
    sP201: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > $o ) ).

tff(pred_def_432,type,
    sP202: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_433,type,
    sP203: 
      !>[X0: $tType] : $o ).

tff(pred_def_434,type,
    sP204: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_435,type,
    sP205: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_436,type,
    sP206: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_437,type,
    sP207: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_438,type,
    sP208: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_439,type,
    sP209: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_440,type,
    sP210: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_441,type,
    sP211: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_442,type,
    sP212: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_443,type,
    sP213: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_444,type,
    sP214: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_445,type,
    sP215: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_446,type,
    sP216: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > $o ) ).

tff(pred_def_447,type,
    sP217: 
      !>[X0: $tType] : $o ).

tff(pred_def_448,type,
    sP218: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > $o ) ).

tff(pred_def_449,type,
    sP219: 
      !>[X0: $tType] : $o ).

tff(pred_def_450,type,
    sP220: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > $o ) ).

tff(pred_def_451,type,
    sP221: 
      !>[X0: $tType] : $o ).

tff(pred_def_452,type,
    sP222: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_453,type,
    sP223: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_454,type,
    sP224: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_455,type,
    sP225: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),bool)) ) > $o ) ).

tff(pred_def_456,type,
    sP226: 
      !>[X0: $tType] : $o ).

tff(pred_def_457,type,
    sP227: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_458,type,
    sP228: 
      !>[X0: $tType] : $o ).

tff(pred_def_459,type,
    sP229: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_460,type,
    sP230: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > $o ) ).

tff(pred_def_461,type,
    sP231: 
      !>[X0: $tType] : $o ).

tff(pred_def_462,type,
    sP232: vEBT_VEBT > $o ).

tff(pred_def_463,type,
    sP233: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_464,type,
    sP234: 
      !>[X0: $tType] : $o ).

tff(pred_def_465,type,
    sP235: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_466,type,
    sP236: 
      !>[X0: $tType] : $o ).

tff(pred_def_467,type,
    sP237: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_468,type,
    sP238: 
      !>[X0: $tType] : $o ).

tff(pred_def_469,type,
    sP239: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > $o ) ).

tff(pred_def_470,type,
    sP240: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * X0 ) > $o ) ).

tff(pred_def_471,type,
    sP241: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_472,type,
    sP242: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,bool) ) > $o ) ).

tff(pred_def_473,type,
    sP243: set(real) > $o ).

tff(pred_def_474,type,
    sP244: real > $o ).

tff(pred_def_475,type,
    sP245: real > $o ).

tff(pred_def_476,type,
    sP246: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) > $o ) ).

tff(pred_def_477,type,
    sP247: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) * X1 ) > $o ) ).

tff(pred_def_478,type,
    sP248: 
      !>[X0: $tType,X1: $tType] : $o ).

tff(pred_def_479,type,
    sP249: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_480,type,
    sP250: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_481,type,
    sP251: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_482,type,
    sP252: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).

tff(pred_def_483,type,
    sP253: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_484,type,
    sP254: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_485,type,
    sP255: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_486,type,
    sP256: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_487,type,
    sP257: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(set(X0)) ) > $o ) ).

tff(pred_def_488,type,
    sP258: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_489,type,
    sP259: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).

tff(pred_def_490,type,
    sP260: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_491,type,
    sP261: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_492,type,
    sP262: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_493,type,
    sP263: ( nat * bool ) > $o ).

tff(pred_def_494,type,
    sP264: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_495,type,
    sP265: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_496,type,
    sP266: ( nat * bool ) > $o ).

tff(pred_def_497,type,
    sP267: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_498,type,
    sP268: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_499,type,
    sP269: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_500,type,
    sP270: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_501,type,
    sP271: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_502,type,
    sP272: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_503,type,
    sP273: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_504,type,
    sP274: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_505,type,
    sP275: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_506,type,
    sP276: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_507,type,
    sP277: ( nat * bool ) > $o ).

tff(pred_def_508,type,
    sP278: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_509,type,
    sP279: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_510,type,
    sP280: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_511,type,
    sP281: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_512,type,
    sP282: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_513,type,
    sP283: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_514,type,
    sP284: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_515,type,
    sP285: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_516,type,
    sP286: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_517,type,
    sP287: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_518,type,
    sP288: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_519,type,
    sP289: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_520,type,
    sP290: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_521,type,
    sP291: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_522,type,
    sP292: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_523,type,
    sP293: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_524,type,
    sP294: ( nat * list(nat) ) > $o ).

tff(pred_def_525,type,
    sP295: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_526,type,
    sP296: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_527,type,
    sP297: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_528,type,
    sP298: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

tff(pred_def_529,type,
    sP299: ( option(nat) * bool * bool ) > $o ).

tff(pred_def_530,type,
    sP300: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_531,type,
    sP301: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_532,type,
    sP302: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_533,type,
    sP303: ( option(nat) * bool * bool ) > $o ).

tff(pred_def_534,type,
    sP304: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_535,type,
    sP305: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_536,type,
    sP306: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_537,type,
    sP307: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_538,type,
    sP308: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_539,type,
    sP309: ( nat * bool ) > $o ).

tff(pred_def_540,type,
    sP310: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_541,type,
    sP311: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_542,type,
    sP312: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_543,type,
    sP313: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_544,type,
    sP314: ( nat * bool ) > $o ).

tff(pred_def_545,type,
    sP315: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_546,type,
    sP316: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_547,type,
    sP317: fun(int,bool) > $o ).

tff(pred_def_548,type,
    sP318: fun(nat,bool) > $o ).

tff(pred_def_549,type,
    sP319: ( nat * bool ) > $o ).

tff(pred_def_550,type,
    sP320: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_551,type,
    sP321: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_552,type,
    sP322: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_553,type,
    sP323: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_554,type,
    sP324: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > $o ) ).

tff(pred_def_555,type,
    sP325: 
      !>[X0: $tType,X1: $tType] : $o ).

tff(pred_def_556,type,
    sP326: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * X1 ) > $o ) ).

tff(pred_def_557,type,
    sP327: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 * X1 ) > $o ) ).

tff(pred_def_558,type,
    sP328: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > $o ) ).

tff(pred_def_559,type,
    sP329: 
      !>[X0: $tType,X1: $tType] : $o ).

tff(pred_def_560,type,
    sP330: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_561,type,
    sP331: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 ) > $o ) ).

tff(pred_def_562,type,
    sP332: 
      !>[X0: $tType,X1: $tType] : $o ).

tff(pred_def_563,type,
    sP333: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * X1 ) > $o ) ).

tff(pred_def_564,type,
    sP334: 
      !>[X0: $tType,X1: $tType] : $o ).

tff(pred_def_565,type,
    sP335: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_566,type,
    sP336: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 * fun(X1,X0) ) > $o ) ).

tff(pred_def_567,type,
    sP337: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_568,type,
    sP338: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_569,type,
    sP339: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > $o ) ).

tff(pred_def_570,type,
    sP340: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * fun(X1,bool) ) > $o ) ).

tff(pred_def_571,type,
    sP341: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > $o ) ).

tff(pred_def_572,type,
    sP342: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * fun(X1,bool) ) > $o ) ).

tff(pred_def_573,type,
    sP343: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > $o ) ).

tff(pred_def_574,type,
    sP344: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_575,type,
    sP345: 
      !>[X0: $tType,X1: $tType] : $o ).

tff(pred_def_576,type,
    sP346: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_577,type,
    sP347: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_578,type,
    sP348: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_579,type,
    sP349: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_580,type,
    sP350: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_581,type,
    sP351: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_582,type,
    sP352: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_583,type,
    sP353: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_584,type,
    sP354: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_585,type,
    sP355: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

tff(pred_def_586,type,
    sP356: fun(real,bool) > $o ).

tff(pred_def_587,type,
    sP357: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_588,type,
    sP358: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_589,type,
    sP359: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_590,type,
    sP360: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_591,type,
    sP361: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_592,type,
    sP362: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_593,type,
    sP363: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_594,type,
    sP364: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_595,type,
    sP365: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_596,type,
    sP366: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_597,type,
    sP367: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_598,type,
    sP368: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_599,type,
    sP369: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_600,type,
    sP370: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_601,type,
    sP371: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_602,type,
    sP372: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_603,type,
    sP373: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

tff(pred_def_604,type,
    sP374: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

tff(pred_def_605,type,
    sP375: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_606,type,
    sP376: ( nat * nat ) > $o ).

tff(pred_def_607,type,
    sP377: ( nat * nat ) > $o ).

tff(pred_def_608,type,
    sP378: ( fun(nat,bool) * nat ) > $o ).

tff(pred_def_609,type,
    sP379: ( fun(nat,bool) * nat ) > $o ).

tff(pred_def_610,type,
    sP380: ( fun(nat,bool) * nat ) > $o ).

tff(pred_def_611,type,
    sP381: ( fun(nat,bool) * nat ) > $o ).

tff(pred_def_612,type,
    sP382: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X0) * fun(X0,X2) * set(X1) ) > $o ) ).

tff(pred_def_613,type,
    sP383: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_614,type,
    sP384: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_615,type,
    sP385: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_616,type,
    sP386: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_617,type,
    sP387: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_618,type,
    sP388: ( vEBT_VEBT * bool * bool * nat ) > $o ).

tff(pred_def_619,type,
    sP389: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_620,type,
    sP390: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_621,type,
    sP391: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_622,type,
    sP392: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_623,type,
    sP393: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_624,type,
    sP394: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_625,type,
    sP395: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_626,type,
    sP396: ( num * num * num ) > $o ).

tff(pred_def_627,type,
    sP397: ( num * num * num ) > $o ).

tff(pred_def_628,type,
    sP398: ( num * num * num ) > $o ).

tff(pred_def_629,type,
    sP399: ( num * num * num ) > $o ).

tff(pred_def_630,type,
    sP400: ( num * num * num ) > $o ).

tff(pred_def_631,type,
    sP401: ( num * num * num ) > $o ).

tff(pred_def_632,type,
    sP402: ( num * num * num ) > $o ).

tff(pred_def_633,type,
    sP403: ( num * num * num ) > $o ).

tff(pred_def_634,type,
    sP404: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_635,type,
    sP405: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_636,type,
    sP406: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_637,type,
    sP407: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_638,type,
    sP408: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_639,type,
    sP409: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_640,type,
    sP410: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_641,type,
    sP411: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_642,type,
    sP412: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_643,type,
    sP413: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_644,type,
    sP414: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_645,type,
    sP415: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_646,type,
    sP416: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_647,type,
    sP417: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_648,type,
    sP418: ( option(num) * num * num ) > $o ).

tff(pred_def_649,type,
    sP419: ( option(num) * num * num ) > $o ).

tff(pred_def_650,type,
    sP420: ( option(num) * num * num ) > $o ).

tff(pred_def_651,type,
    sP421: ( option(num) * num * num ) > $o ).

tff(pred_def_652,type,
    sP422: ( option(num) * num * num ) > $o ).

tff(pred_def_653,type,
    sP423: ( option(num) * num * num ) > $o ).

tff(pred_def_654,type,
    sP424: ( option(num) * num * num ) > $o ).

tff(pred_def_655,type,
    sP425: ( option(num) * num * num ) > $o ).

tff(pred_def_656,type,
    sP426: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_657,type,
    sP427: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_658,type,
    sP428: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_659,type,
    sP429: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_660,type,
    sP430: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_661,type,
    sP431: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_662,type,
    sP432: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_663,type,
    sP433: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_664,type,
    sP434: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_665,type,
    sP435: ( option(nat) * bool * bool ) > $o ).

tff(pred_def_666,type,
    sP436: ( bool * bool * option(nat) * nat ) > $o ).

tff(pred_def_667,type,
    sP437: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_668,type,
    sP438: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_669,type,
    sP439: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_670,type,
    sP440: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_671,type,
    sP441: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_672,type,
    sP442: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_673,type,
    sP443: ( option(nat) * bool * bool ) > $o ).

tff(pred_def_674,type,
    sP444: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_675,type,
    sP445: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_676,type,
    sP446: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_677,type,
    sP447: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_678,type,
    sP448: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_679,type,
    sP449: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_680,type,
    sP450: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_681,type,
    sP451: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_682,type,
    sP452: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_683,type,
    sP453: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_684,type,
    sP454: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_685,type,
    sP455: 
      !>[X0: $tType] : ( fun(list(list(X0)),bool) > $o ) ).

tff(pred_def_686,type,
    sP456: 
      !>[X0: $tType] : ( fun(list(list(X0)),bool) > $o ) ).

tff(pred_def_687,type,
    sP457: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > $o ) ).

tff(pred_def_688,type,
    sP458: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > $o ) ).

tff(pred_def_689,type,
    sP459: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(pred_def_690,type,
    sP460: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > $o ) ).

tff(pred_def_691,type,
    sP461: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(pred_def_692,type,
    sP462: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > $o ) ).

tff(pred_def_693,type,
    sP463: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

tff(pred_def_694,type,
    sP464: ( real * real * fun(real,real) ) > $o ).

tff(pred_def_695,type,
    sP465: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_696,type,
    sP466: ( fun(real,real) * real * real * real * real ) > $o ).

tff(pred_def_697,type,
    sP467: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_698,type,
    sP468: ( fun(real,fun(real,bool)) * real ) > $o ).

tff(pred_def_699,type,
    sP469: fun(real,fun(real,bool)) > $o ).

tff(pred_def_700,type,
    sP470: fun(nat,fun(nat,bool)) > $o ).

tff(pred_def_701,type,
    sP471: ( fun(nat,bool) * nat ) > $o ).

tff(pred_def_702,type,
    sP472: ( real * nat * real ) > $o ).

tff(pred_def_703,type,
    sP473: ( real * nat * real ) > $o ).

tff(pred_def_704,type,
    sP474: ( option(num) * num * num ) > $o ).

tff(pred_def_705,type,
    sP475: ( option(num) * num * num ) > $o ).

tff(pred_def_706,type,
    sP476: ( option(num) * num * num ) > $o ).

tff(pred_def_707,type,
    sP477: ( option(num) * num * num ) > $o ).

tff(pred_def_708,type,
    sP478: ( option(num) * num * num ) > $o ).

tff(pred_def_709,type,
    sP479: ( option(num) * num * num ) > $o ).

tff(pred_def_710,type,
    sP480: ( option(num) * num * num ) > $o ).

tff(pred_def_711,type,
    sP481: ( option(num) * num * num ) > $o ).

tff(pred_def_712,type,
    sP482: ( option(num) * num * num ) > $o ).

tff(pred_def_713,type,
    sP483: ( option(num) * num * num ) > $o ).

tff(pred_def_714,type,
    sP484: ( option(num) * num * num ) > $o ).

tff(pred_def_715,type,
    sP485: ( option(num) * num * num ) > $o ).

tff(pred_def_716,type,
    sP486: ( option(num) * num * num ) > $o ).

tff(pred_def_717,type,
    sP487: ( option(num) * num * num ) > $o ).

tff(pred_def_718,type,
    sP488: ( option(num) * num * num ) > $o ).

tff(pred_def_719,type,
    sP489: ( option(num) * num * num ) > $o ).

tff(pred_def_720,type,
    sP490: ( nat * bool ) > $o ).

tff(pred_def_721,type,
    sP491: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_722,type,
    sP492: ( list(vEBT_VEBT) * nat * nat * bool ) > $o ).

tff(pred_def_723,type,
    sP493: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_724,type,
    sP494: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_725,type,
    sP495: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_726,type,
    sP496: ( nat * bool ) > $o ).

tff(pred_def_727,type,
    sP497: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_728,type,
    sP498: ( list(vEBT_VEBT) * nat * nat * bool ) > $o ).

tff(pred_def_729,type,
    sP499: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_730,type,
    sP500: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_731,type,
    sP501: ( option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_732,type,
    sP502: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * bool ) > $o ).

tff(pred_def_733,type,
    sP503: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_734,type,
    sP504: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_735,type,
    sP505: ( option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_736,type,
    sP506: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * bool ) > $o ).

tff(pred_def_737,type,
    sP507: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_738,type,
    sP508: ( nat * nat * nat * bool ) > $o ).

tff(pred_def_739,type,
    sP509: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_740,type,
    sP510: ( nat * nat * nat * nat * list(vEBT_VEBT) * bool ) > $o ).

tff(pred_def_741,type,
    sP511: ( list(vEBT_VEBT) * nat * nat * bool ) > $o ).

tff(pred_def_742,type,
    sP512: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_743,type,
    sP513: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_744,type,
    sP514: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_745,type,
    sP515: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_746,type,
    sP516: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_747,type,
    sP517: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_748,type,
    sP518: ( nat * nat * nat * nat * list(vEBT_VEBT) * bool ) > $o ).

tff(pred_def_749,type,
    sP519: ( list(vEBT_VEBT) * nat * nat * bool ) > $o ).

tff(pred_def_750,type,
    sP520: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_751,type,
    sP521: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_752,type,
    sP522: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_753,type,
    sP523: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_754,type,
    sP524: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) ) > $o ) ).

tff(pred_def_755,type,
    sP525: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_756,type,
    sP526: ( nat * bool ) > $o ).

tff(pred_def_757,type,
    sP527: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_758,type,
    sP528: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_759,type,
    sP529: ( nat * nat * nat * nat * list(vEBT_VEBT) * bool ) > $o ).

tff(pred_def_760,type,
    sP530: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_761,type,
    sP531: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_762,type,
    sP532: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_763,type,
    sP533: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_764,type,
    sP534: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_765,type,
    sP535: ( nat * bool ) > $o ).

tff(pred_def_766,type,
    sP536: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_767,type,
    sP537: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_768,type,
    sP538: ( nat * nat * nat * nat * list(vEBT_VEBT) * bool ) > $o ).

tff(pred_def_769,type,
    sP539: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_770,type,
    sP540: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_771,type,
    sP541: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_772,type,
    sP542: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_773,type,
    sP543: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > $o ) ).

tff(pred_def_774,type,
    sP544: ( fun(nat,bool) * nat ) > $o ).

tff(pred_def_775,type,
    sP545: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > $o ) ).

tff(pred_def_776,type,
    sP546: ( fun(nat,nat) * nat ) > $o ).

tff(pred_def_777,type,
    sP547: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_778,type,
    sP548: ( nat * nat * set(nat) ) > $o ).

tff(pred_def_779,type,
    sP549: ( nat * nat * set(nat) ) > $o ).

tff(pred_def_780,type,
    sP550: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_781,type,
    sP551: ( nat * bool ) > $o ).

tff(pred_def_782,type,
    sP552: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_783,type,
    sP553: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_784,type,
    sP554: 
      !>[X0: $tType] : ( ( fun(nat,nat) * list(X0) ) > $o ) ).

tff(pred_def_785,type,
    sP555: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_786,type,
    sP556: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > $o ) ).

tff(pred_def_787,type,
    sP557: ( fun(nat,bool) * nat * nat ) > $o ).

tff(pred_def_788,type,
    sP558: ( fun(nat,bool) * nat * nat ) > $o ).

tff(pred_def_789,type,
    sP559: ( fun(nat,bool) * nat * nat ) > $o ).

tff(pred_def_790,type,
    sP560: ( nat * bool ) > $o ).

tff(pred_def_791,type,
    sP561: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * filter(X0) ) > $o ) ).

tff(pred_def_792,type,
    sP562: ( fun(real,bool) * real * nat ) > $o ).

tff(pred_def_793,type,
    sP563: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > $o ) ).

tff(pred_def_794,type,
    sP564: ( fun(nat,bool) * nat * nat ) > $o ).

tff(pred_def_795,type,
    sP565: ( fun(nat,bool) * nat * nat ) > $o ).

tff(pred_def_796,type,
    sP566: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > $o ) ).

tff(pred_def_797,type,
    sP567: ( fun(int,bool) * nat * nat ) > $o ).

tff(pred_def_798,type,
    sP568: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,bool)) * nat ) > $o ) ).

tff(pred_def_799,type,
    sP569: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_800,type,
    sP570: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_801,type,
    sP571: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_802,type,
    sP572: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_803,type,
    sP573: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1)) ) > $o ) ).

tff(pred_def_804,type,
    sP574: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_805,type,
    sP575: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > $o ) ).

tff(pred_def_806,type,
    sP576: 
      !>[X0: $tType] : ( ( fun(set(X0),bool) * set(X0) ) > $o ) ).

tff(pred_def_807,type,
    sP577: ( fun(nat,fun(real,real)) * real * nat ) > $o ).

tff(pred_def_808,type,
    sP578: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_809,type,
    sP579: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_810,type,
    sP580: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_811,type,
    sP581: ( real * fun(real,real) * real * fun(real,real) ) > $o ).

tff(pred_def_812,type,
    sP582: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_813,type,
    sP583: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_814,type,
    sP584: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_815,type,
    sP585: ( fun(nat,fun(real,real)) * real * nat ) > $o ).

tff(pred_def_816,type,
    sP586: ( fun(nat,fun(real,real)) * real * nat ) > $o ).

tff(pred_def_817,type,
    sP587: ( fun(nat,fun(real,real)) * real * nat ) > $o ).

tff(pred_def_818,type,
    sP588: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_819,type,
    sP589: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_820,type,
    sP590: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_821,type,
    sP591: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,bool)) * X0 * bool ) > $o ) ).

tff(pred_def_822,type,
    sP592: 
      !>[X0: $tType] : ( ( bool * list(X0) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_823,type,
    sP593: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > $o ) ).

tff(pred_def_824,type,
    sP594: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * nat ) > $o ) ).

tff(pred_def_825,type,
    sP595: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_826,type,
    sP596: ( bool * bool * bool * bool ) > $o ).

tff(pred_def_827,type,
    sP597: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_828,type,
    sP598: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_829,type,
    sP599: ( nat * nat * int * int ) > $o ).

tff(pred_def_830,type,
    sP600: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_831,type,
    sP601: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(list(X0)) ) > $o ) ).

tff(pred_def_832,type,
    sP602: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_833,type,
    sP603: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * set(X0) ) > $o ) ).

tff(pred_def_834,type,
    sP604: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > $o ) ).

tff(pred_def_835,type,
    sP605: 
      !>[X0: $tType] : ( ( X0 * set(X0) * set(X0) ) > $o ) ).

tff(pred_def_836,type,
    sP606: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > $o ) ).

tff(pred_def_837,type,
    sP607: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_838,type,
    sP608: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > $o ) ).

tff(pred_def_839,type,
    sP609: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_840,type,
    sP610: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > $o ) ).

tff(pred_def_841,type,
    sP611: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_842,type,
    sP612: ( nat * nat * nat ) > $o ).

tff(pred_def_843,type,
    sP613: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_844,type,
    sP614: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_845,type,
    sP615: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_846,type,
    sP616: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * option(X0) ) > $o ) ).

tff(pred_def_847,type,
    sP617: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0) ) > $o ) ).

tff(pred_def_848,type,
    sP618: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_849,type,
    sP619: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(product_prod(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_850,type,
    sP620: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_851,type,
    sP621: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,bool)) * X0 * nat ) > $o ) ).

tff(pred_def_852,type,
    sP622: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,bool)) * X0 * nat ) > $o ) ).

tff(pred_def_853,type,
    sP623: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_854,type,
    sP624: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * nat ) > $o ) ).

tff(pred_def_855,type,
    sP625: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * nat ) > $o ) ).

tff(pred_def_856,type,
    sP626: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_857,type,
    sP627: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),bool)) ) > $o ) ).

tff(pred_def_858,type,
    sP628: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_859,type,
    sP629: ( option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_860,type,
    sP630: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_861,type,
    sP631: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_862,type,
    sP632: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * filter(X0) * filter(X1) ) > $o ) ).

tff(pred_def_863,type,
    sP633: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_864,type,
    sP634: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 * list(X0) ) > $o ) ).

tff(pred_def_865,type,
    sP635: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 * list(X0) ) > $o ) ).

tff(pred_def_866,type,
    sP636: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).

tff(pred_def_867,type,
    sP637: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).

tff(pred_def_868,type,
    sP638: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_869,type,
    sP639: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_870,type,
    sP640: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).

tff(pred_def_871,type,
    sP641: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).

tff(pred_def_872,type,
    sP642: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_873,type,
    sP643: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_874,type,
    sP644: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_875,type,
    sP645: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * nat * X0 * X0 ) > $o ) ).

tff(pred_def_876,type,
    sP646: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),bool)) * fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_877,type,
    sP647: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_878,type,
    sP648: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,bool)) * fun(list(X0),fun(list(X0),bool)) ) > $o ) ).

tff(pred_def_879,type,
    sP649: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_880,type,
    sP650: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat * X0 * X0 ) > $o ) ).

tff(pred_def_881,type,
    sP651: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_882,type,
    sP652: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_883,type,
    sP653: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_884,type,
    sP654: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_885,type,
    sP655: ( fun(nat,fun(real,real)) * real * real * nat ) > $o ).

tff(pred_def_886,type,
    sP656: ( fun(nat,fun(real,real)) * real * real * nat ) > $o ).

tff(pred_def_887,type,
    sP657: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_888,type,
    sP658: ( fun(nat,real) * fun(real,fun(nat,real)) * real * real ) > $o ).

tff(pred_def_889,type,
    sP659: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > $o ) ).

tff(pred_def_890,type,
    sP660: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X0,X1) * fun(X1,bool) * X1 ) > $o ) ).

tff(pred_def_891,type,
    sP661: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X0,X1) * fun(X1,bool) * X1 ) > $o ) ).

tff(pred_def_892,type,
    sP662: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(list(X0),X1)) * fun(X1,bool) * X1 ) > $o ) ).

tff(pred_def_893,type,
    sP663: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(list(X0),X1)) * fun(X1,bool) * X1 ) > $o ) ).

tff(pred_def_894,type,
    sP664: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_895,type,
    sP665: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * X0 * X0 ) > $o ) ).

tff(pred_def_896,type,
    sP666: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_897,type,
    sP667: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_898,type,
    sP668: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_899,type,
    sP669: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * X0 * X0 ) > $o ) ).

tff(pred_def_900,type,
    sP670: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0 ) > $o ) ).

tff(pred_def_901,type,
    sP671: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0 ) > $o ) ).

tff(pred_def_902,type,
    sP672: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0 ) > $o ) ).

tff(pred_def_903,type,
    sP673: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_904,type,
    sP674: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_905,type,
    sP675: ( real * real * real ) > $o ).

tff(pred_def_906,type,
    sP676: ( fun(nat,fun(real,real)) * real * real * nat ) > $o ).

tff(pred_def_907,type,
    sP677: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_908,type,
    sP678: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_909,type,
    sP679: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_910,type,
    sP680: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_911,type,
    sP681: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_912,type,
    sP682: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_913,type,
    sP683: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_914,type,
    sP684: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_915,type,
    sP685: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool) ) > $o ) ).

tff(pred_def_916,type,
    sP686: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > $o ) ).

tff(pred_def_917,type,
    sP687: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,option(X0)) * X0 * X1 * X0 ) > $o ) ).

tff(pred_def_918,type,
    sP688: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1 ) > $o ) ).

tff(pred_def_919,type,
    sP689: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1) ) > $o ) ).

tff(pred_def_920,type,
    sP690: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X2) * set(X0) * fun(X0,set(X1)) * fun(X1,X3) * fun(X2,set(X3)) ) > $o ) ).

tff(pred_def_921,type,
    sP691: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool)))) > $o ) ).

tff(f54681,plain,
    $false,
    inference(global_subsumption,[],[f36433,f36434,f36435,f36436,f36437,f36438,f36439,f36440,f36441,f36442,f36443,f36444,f36445,f36446,f36447,f36448,f36449,f36450,f36451,f36452,f36453,f36454,f36455,f36456,f36457,f36458,f36459,f36460,f36461,f36462,f36463,f36464,f36465,f36466,f36467,f36468,f36469,f36470,f36471,f36472,f36473,f36474,f36475,f36476,f36477,f36478,f36479,f36480,f36481,f36482,f36483,f36484,f36485,f36486,f36487,f36488,f36489,f36490,f36491,f36492,f36493,f36494,f36495,f36496,f36497,f36498,f36499,f36500,f36501,f36502,f36503,f36504,f36505,f36506,f36507,f36508,f36509,f36510,f36511,f36512,f36513,f36514,f36515,f36516,f36517,f36518,f36519,f36520,f36521,f36522,f36523,f36524,f36525,f36526,f36527,f36528,f36529,f36530,f36531,f36532,f36533,f36534,f36535,f36536,f36537,f36538,f36539,f36540,f36541,f36542,f36543,f36544,f36545,f36546,f36547,f36548,f36549,f36550,f36551,f36552,f36553,f36554,f36555,f36556,f36557,f36558,f36559,f36560,f36561,f36562,f36563,f36564,f36565,f36566,f36567,f36568,f36569,f36570,f36571,f36572,f36573,f36574,f36575,f36576,f36577,f36578,f36579,f36580,f36581,f36582,f36583,f36584,f36585,f36586,f36587,f36588,f36589,f36590,f36591,f36592,f36593,f36594,f36595,f36596,f36597,f36598,f36599,f36600,f36601,f36602,f36603,f36604,f36605,f36606,f36607,f36608,f36609,f36610,f36611,f36612,f36613,f36614,f36615,f36616,f36617,f36618,f36619,f36620,f36621,f36622,f36623,f36624,f36625,f36626,f36627,f36628,f36629,f36630,f36631,f36632,f36633,f36634,f36635,f36636,f36637,f36638,f36639,f36640,f36641,f36642,f36643,f36644,f36645,f36646,f36647,f36648,f36649,f36650,f36651,f36652,f36653,f36654,f36655,f36656,f36657,f36658,f36659,f36660,f36661,f36662,f36663,f36664,f36665,f36666,f36667,f36668,f36669,f36670,f36671,f36672,f36673,f36674,f36675,f36676,f36677,f36678,f36679,f36680,f36681,f36682,f36683,f36684,f36685,f36686,f36687,f36688,f36689,f36690,f36691,f36692,f36693,f36694,f36695,f36696,f36697,f36698,f36699,f36700,f36701,f36702,f36703,f36704,f36705,f36706,f36707,f36708,f36709,f36710,f36711,f36712,f36713,f36714,f36715,f36716,f36717,f36718,f36719,f36720,f36721,f36722,f36723,f36724,f36725,f36726,f36727,f36728,f36729,f36730,f36731,f36732,f36733,f36734,f36735,f36736,f36737,f36738,f36739,f36740,f36741,f36742,f36743,f36744,f36745,f36746,f36747,f36748,f36749,f36750,f36751,f36752,f36753,f36754,f36755,f36756,f36757,f36758,f36759,f36760,f36761,f36762,f36763,f36764,f36765,f36766,f36767,f36768,f36769,f36770,f36771,f36772,f36773,f36774,f36775,f36776,f36777,f36778,f36779,f36780,f36781,f36782,f36783,f36784,f36785,f36786,f36787,f36788,f36789,f36790,f36791,f36792,f36793,f36794,f36795,f36796,f36797,f36798,f36799,f36800,f36801,f36802,f36803,f36804,f36805,f36806,f36807,f36808,f36809,f36810,f36811,f36812,f36813,f36820,f36821,f36822,f36823,f36824,f36825,f36826,f36827,f36828,f36829,f36830,f36831,f36832,f36833,f36834,f36835,f36836,f36837,f36838,f36839,f36840,f36841,f36842,f36843,f36844,f36845,f36846,f36847,f36848,f36849,f36850,f36851,f36852,f36853,f36854,f36855,f36856,f36857,f36858,f36859,f36860,f36861,f36862,f36863,f36864,f36865,f36866,f36867,f36868,f36869,f36870,f36871,f36872,f36873,f36874,f36875,f36876,f36877,f36878,f36879,f36880,f36881,f36882,f36883,f36884,f36885,f36886,f36887,f36888,f36889,f36890,f36891,f36892,f36893,f36894,f36895,f36896,f36897,f36898,f36899,f36900,f36901,f36902,f36903,f36904,f36905,f36906,f36907,f36908,f36909,f36910,f36911,f36912,f36913,f36914,f36915,f36916,f36917,f36918,f36919,f36920,f36921,f36922,f36923,f36924,f36925,f36926,f36927,f36928,f36929,f36930,f36931,f36932,f36933,f36934,f36935,f36936,f36937,f36938,f36939,f36940,f36941,f36942,f36943,f36944,f36945,f36946,f36947,f36948,f36949,f36950,f36951,f36952,f36953,f36954,f36955,f36956,f36957,f36958,f36959,f36960,f36961,f36962,f36963,f36964,f36972,f36973,f36974,f36975,f36980,f36981,f36982,f36983,f36984,f36985,f36986,f36987,f36988,f36989,f36990,f36991,f36992,f36993,f36994,f36995,f36996,f36997,f36998,f36999,f37000,f37001,f37002,f37003,f37004,f37005,f37006,f37007,f37008,f37009,f37010,f37011,f37012,f37013,f37014,f37015,f37016,f37017,f37018,f37019,f37020,f37021,f37022,f37023,f37024,f37025,f37026,f37027,f37028,f37029,f37030,f37031,f37032,f37033,f37034,f37035,f37036,f37037,f37038,f37039,f37040,f37041,f37042,f37043,f37044,f37045,f37046,f37047,f37048,f37049,f37050,f37051,f37052,f37054,f37055,f37056,f37057,f37058,f37059,f37060,f37061,f37062,f37063,f37064,f37065,f37066,f37067,f37068,f37069,f37070,f37071,f37072,f37073,f37074,f37075,f37076,f37077,f37078,f37079,f37080,f37081,f37082,f37083,f37084,f37085,f37086,f37087,f37088,f37089,f37090,f37091,f37092,f37093,f37094,f37095,f37096,f37097,f37098,f37099,f37100,f37101,f37102,f37103,f37104,f37105,f37106,f37107,f37108,f37109,f37110,f37111,f37112,f37113,f37114,f37115,f37116,f37117,f37118,f37119,f37120,f37121,f37122,f37123,f37124,f37125,f37126,f37127,f37128,f37129,f37130,f37131,f37132,f37133,f37134,f37135,f37136,f37137,f37138,f37139,f37140,f37141,f37142,f37143,f37144,f37145,f37146,f37147,f37148,f37149,f37150,f37151,f37152,f37153,f37154,f37155,f37156,f37157,f37158,f37159,f37160,f37161,f37162,f37163,f37164,f37165,f37166,f37167,f37168,f37169,f37170,f37171,f37172,f37173,f37174,f37175,f37176,f37178,f37179,f37180,f37181,f37182,f37183,f37184,f37185,f37186,f37187,f37188,f37189,f37190,f37191,f37192,f37193,f37194,f37195,f37196,f37197,f37198,f37199,f37200,f37201,f37202,f37203,f37204,f37205,f37206,f37207,f37208,f37209,f37210,f37211,f37212,f37213,f37214,f37215,f37216,f37217,f37218,f37219,f37220,f37221,f37222,f37223,f37224,f37225,f37226,f37227,f37228,f37229,f37231,f37230,f37233,f37232,f37235,f37234,f37237,f37236,f37239,f37238]) ).

tff(f37238,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,axiom,
    ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)))
    & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21__C114_C) ).

tff(f37239,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma))),
    inference(cnf_transformation,[],[f22]) ).

tff(f37236,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m))),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,axiom,
    ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)))
    & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_hlbound) ).

tff(f37237,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),
    inference(cnf_transformation,[],[f18]) ).

tff(f37234,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),mi),ma)),
    inference(cnf_transformation,[],[f59]) ).

tff(f59,axiom,
    ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),ma),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg)))
    & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),mi),ma)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58__C6_C) ).

tff(f37235,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),ma),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(cnf_transformation,[],[f59]) ).

tff(f37232,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),mi),xa)),
    inference(cnf_transformation,[],[f95]) ).

tff(f95,axiom,
    ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),xa),ma))
    & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),mi),xa)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_inrg) ).

tff(f37233,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),xa),ma)),
    inference(cnf_transformation,[],[f95]) ).

tff(f37230,plain,
    ma != mi,
    inference(cnf_transformation,[],[f85]) ).

tff(f85,axiom,
    ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg)))
    & ( ma != mi ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062) ).

tff(f37231,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(cnf_transformation,[],[f85]) ).

tff(f37229,plain,
    vEBT_vebt_delete(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),xa),ma)),deg,treeList,summary),xa) = vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma))),deg,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))),summary),
    inference(cnf_transformation,[],[f181]) ).

tff(f181,axiom,
    vEBT_vebt_delete(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),xa),ma)),deg,treeList,summary),xa) = vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma))),deg,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))),summary),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_dsimp) ).

tff(f37228,plain,
    vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)) = aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,axiom,
    vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)) = aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_hprolist) ).

tff(f37227,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),
    inference(cnf_transformation,[],[f33]) ).

tff(f33,axiom,
    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_newlistlength) ).

tff(f37226,plain,
    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),
    inference(cnf_transformation,[],[f25]) ).

tff(f25,axiom,
    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24__092_060open_062length_AtreeList_A_061_Alength_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_092_060close_062) ).

tff(f37225,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),plus_plus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,one2))))))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(real,real,arctan,divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,one2))))))))))),
    inference(cnf_transformation,[],[f2916]) ).

tff(f2916,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),plus_plus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,one2))))))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(real,real,arctan,divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,one2))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2915_machin__Euler) ).

tff(f37224,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2))))))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,one2))))))))))),
    inference(cnf_transformation,[],[f2915]) ).

tff(f2915,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2))))))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,one2))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2914_machin) ).

tff(f37223,plain,
    vEBT_invar_vebt(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),na),
    inference(cnf_transformation,[],[f29]) ).

tff(f29,axiom,
    vEBT_invar_vebt(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),na),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_nnvalid) ).

tff(f37222,plain,
    ~ pp(vEBT_VEBT_minNull(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,axiom,
    ~ pp(vEBT_VEBT_minNull(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_False) ).

tff(f37221,plain,
    times_times(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_lj(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))))),
    inference(cnf_transformation,[],[f5330]) ).

tff(f5330,axiom,
    times_times(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_lj(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5329_times__int__def) ).

tff(f37220,plain,
    plus_plus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_lq(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))))),
    inference(cnf_transformation,[],[f5332]) ).

tff(f5332,axiom,
    plus_plus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_lq(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5331_plus__int__def) ).

tff(f37219,plain,
    minus_minus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_ls(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))))),
    inference(cnf_transformation,[],[f5331]) ).

tff(f5331,axiom,
    minus_minus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_ls(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5330_minus__int__def) ).

tff(f37218,plain,
    pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx))),
    inference(cnf_transformation,[],[f212]) ).

tff(f212,axiom,
    pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_xnin) ).

tff(f37217,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_060_A2_A_094_Adeg_092_060close_062) ).

tff(f37216,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),
    inference(cnf_transformation,[],[f28]) ).

tff(f28,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27__092_060open_062high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_060_Alength_AtreeList_092_060close_062) ).

tff(f37215,plain,
    set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))) = aa(set(char),set(nat),image(char,nat,comm_s6883823935334413003f_char(nat)),top_top(set(char))),
    inference(cnf_transformation,[],[f5551]) ).

tff(f5551,axiom,
    set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))) = aa(set(char),set(nat),image(char,nat,comm_s6883823935334413003f_char(nat)),top_top(set(char))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5550_range__nat__of__char) ).

tff(f37214,plain,
    top_top(set(char)) = aa(set(nat),set(char),image(nat,char,unique5772411509450598832har_of(nat)),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))))),
    inference(cnf_transformation,[],[f5542]) ).

tff(f5542,axiom,
    top_top(set(char)) = aa(set(nat),set(char),image(nat,char,unique5772411509450598832har_of(nat)),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5541_UNIV__char__of__nat) ).

tff(f37213,plain,
    uminus_uminus(int) = aa(fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_lk(nat,fun(nat,product_prod(nat,nat))))),
    inference(cnf_transformation,[],[f5311]) ).

tff(f5311,axiom,
    uminus_uminus(int) = aa(fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_lk(nat,fun(nat,product_prod(nat,nat))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5310_uminus__int__def) ).

tff(f37212,plain,
    aa(set(char),nat,finite_card(char),top_top(set(char))) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))),
    inference(cnf_transformation,[],[f5533]) ).

tff(f5533,axiom,
    aa(set(char),nat,finite_card(char),top_top(set(char))) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5532_card__UNIV__char) ).

tff(f37211,plain,
    filterlim(real,real,tan(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))))),
    inference(cnf_transformation,[],[f6113]) ).

tff(f6113,axiom,
    filterlim(real,real,tan(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6112_filterlim__tan__at__right) ).

tff(f37210,plain,
    inj_on(nat,char,unique5772411509450598832har_of(nat),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))))),
    inference(cnf_transformation,[],[f6786]) ).

tff(f6786,axiom,
    inj_on(nat,char,unique5772411509450598832har_of(nat),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6785_inj__on__char__of__nat) ).

tff(f37209,plain,
    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f3292]) ).

tff(f3292,axiom,
    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3291_cos__45) ).

tff(f37208,plain,
    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))),
    inference(cnf_transformation,[],[f3303]) ).

tff(f3303,axiom,
    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3302_cos__30) ).

tff(f37207,plain,
    sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f3096]) ).

tff(f3096,axiom,
    sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3095_sin__45) ).

tff(f37206,plain,
    topolo7806501430040627800ormity(real) = aa(set(filter(product_prod(real,real))),filter(product_prod(real,real)),complete_Inf_Inf(filter(product_prod(real,real))),aa(set(real),set(filter(product_prod(real,real))),image(real,filter(product_prod(real,real)),aTP_Lamp_afx(real,filter(product_prod(real,real)))),set_ord_greaterThan(real,zero_zero(real)))),
    inference(cnf_transformation,[],[f7581]) ).

tff(f7581,axiom,
    topolo7806501430040627800ormity(real) = aa(set(filter(product_prod(real,real))),filter(product_prod(real,real)),complete_Inf_Inf(filter(product_prod(real,real))),aa(set(real),set(filter(product_prod(real,real))),image(real,filter(product_prod(real,real)),aTP_Lamp_afx(real,filter(product_prod(real,real)))),set_ord_greaterThan(real,zero_zero(real)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7580_uniformity__real__def) ).

tff(f37205,plain,
    topolo7806501430040627800ormity(complex) = aa(set(filter(product_prod(complex,complex))),filter(product_prod(complex,complex)),complete_Inf_Inf(filter(product_prod(complex,complex))),aa(set(real),set(filter(product_prod(complex,complex))),image(real,filter(product_prod(complex,complex)),aTP_Lamp_afz(real,filter(product_prod(complex,complex)))),set_ord_greaterThan(real,zero_zero(real)))),
    inference(cnf_transformation,[],[f7582]) ).

tff(f7582,axiom,
    topolo7806501430040627800ormity(complex) = aa(set(filter(product_prod(complex,complex))),filter(product_prod(complex,complex)),complete_Inf_Inf(filter(product_prod(complex,complex))),aa(set(real),set(filter(product_prod(complex,complex))),image(real,filter(product_prod(complex,complex)),aTP_Lamp_afz(real,filter(product_prod(complex,complex)))),set_ord_greaterThan(real,zero_zero(real)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7581_uniformity__complex__def) ).

tff(f37204,plain,
    aa(real,real,uminus_uminus(real),one_one(real)) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi)),
    inference(cnf_transformation,[],[f3049]) ).

tff(f3049,axiom,
    aa(real,real,uminus_uminus(real),one_one(real)) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3048_sin__3over2__pi) ).

tff(f37203,plain,
    sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f3103]) ).

tff(f3103,axiom,
    sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3102_sin__60) ).

tff(f37202,plain,
    aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))) = divide_divide(real,one_one(real),aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    inference(cnf_transformation,[],[f3427]) ).

tff(f3427,axiom,
    aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))) = divide_divide(real,one_one(real),aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3426_tan__30) ).

tff(f37201,plain,
    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2))),real_Vector_of_real(complex,pi))),imaginary_unit)),
    inference(cnf_transformation,[],[f4175]) ).

tff(f4175,axiom,
    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2))),real_Vector_of_real(complex,pi))),imaginary_unit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4174_exp__two__pi__i) ).

tff(f37200,plain,
    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),real_Vector_of_real(complex,pi)),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f4174]) ).

tff(f4174,axiom,
    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),real_Vector_of_real(complex,pi)),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4173_exp__two__pi__i_H) ).

tff(f37199,plain,
    pred_nat = aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),aTP_Lamp_agv(nat,fun(nat,bool)))),
    inference(cnf_transformation,[],[f7614]) ).

tff(f7614,axiom,
    pred_nat = aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),aTP_Lamp_agv(nat,fun(nat,bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7613_pred__nat__def) ).

tff(f37198,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),pi)),
    inference(cnf_transformation,[],[f3017]) ).

tff(f3017,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3016_m2pi__less__pi) ).

tff(f37197,plain,
    zero_zero(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi)),
    inference(cnf_transformation,[],[f3207]) ).

tff(f3207,axiom,
    zero_zero(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3206_cos__3over2__pi) ).

tff(f37196,plain,
    filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),set_ord_lessThan(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))),
    inference(cnf_transformation,[],[f6146]) ).

tff(f6146,axiom,
    filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),set_ord_lessThan(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6145_filterlim__tan__at__left) ).

tff(f37195,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f2681]) ).

tff(f2681,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2680_exp__half__le2) ).

tff(f37194,plain,
    bNF_Ca8665028551170535155natLeq = aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),ord_less_eq(nat))),
    inference(cnf_transformation,[],[f8093]) ).

tff(f8093,axiom,
    bNF_Ca8665028551170535155natLeq = aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),ord_less_eq(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8092_natLeq__def) ).

tff(f37193,plain,
    bNF_Ca8459412986667044542atLess = aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),ord_less(nat))),
    inference(cnf_transformation,[],[f8084]) ).

tff(f8084,axiom,
    bNF_Ca8459412986667044542atLess = aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),ord_less(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8083_natLess__def) ).

tff(f37192,plain,
    vEBT_invar_vebt(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),deg),
    inference(cnf_transformation,[],[f207]) ).

tff(f207,axiom,
    vEBT_invar_vebt(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),deg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206__C10_C) ).

tff(f37191,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f2860]) ).

tff(f2860,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2859_sqrt2__less__2) ).

tff(f37190,plain,
    aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,tan(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
    inference(cnf_transformation,[],[f3414]) ).

tff(f3414,axiom,
    aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,tan(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3413_tan__minus__45) ).

tff(f37189,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f3004]) ).

tff(f3004,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3003_pi__half__le__two) ).

tff(f37188,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f3003]) ).

tff(f3003,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3002_pi__half__less__two) ).

tff(f37187,plain,
    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))),
    inference(cnf_transformation,[],[f3099]) ).

tff(f3099,axiom,
    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3098_sin__30) ).

tff(f37186,plain,
    csqrt(imaginary_unit) = divide_divide(complex,aa(complex,complex,aa(complex,fun(complex,complex),plus_plus(complex),one_one(complex)),imaginary_unit),real_Vector_of_real(complex,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f4222]) ).

tff(f4222,axiom,
    csqrt(imaginary_unit) = divide_divide(complex,aa(complex,complex,aa(complex,fun(complex,complex),plus_plus(complex),one_one(complex)),imaginary_unit),real_Vector_of_real(complex,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4221_csqrt__ii) ).

tff(f37185,plain,
    wf(nat,aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),ord_less(nat)))),
    inference(cnf_transformation,[],[f8094]) ).

tff(f8094,axiom,
    wf(nat,aa(fun(product_prod(nat,nat),bool),set(product_prod(nat,nat)),collect(product_prod(nat,nat)),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),product_case_prod(nat,nat,bool),ord_less(nat)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8093_wf__less) ).

tff(f37184,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m))),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12__092_060open_062summin_A_060_A2_A_094_Am_092_060close_062) ).

tff(f37183,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),ma),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),ma),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__C5_Ohyps_C_I8_J) ).

tff(f37182,plain,
    aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    inference(cnf_transformation,[],[f3405]) ).

tff(f3405,axiom,
    aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3404_tan__60) ).

tff(f37181,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),zero_zero(real))),
    inference(cnf_transformation,[],[f3022]) ).

tff(f3022,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),zero_zero(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3021_minus__pi__half__less__zero) ).

tff(f37180,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,axiom,
    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23__C2_C) ).

tff(f37179,plain,
    aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),one_one(real))),
    inference(cnf_transformation,[],[f3466]) ).

tff(f3466,axiom,
    aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),one_one(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3465_arcsin__minus__1) ).

tff(f37178,plain,
    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    inference(cnf_transformation,[],[f3302]) ).

tff(f3302,axiom,
    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3301_cos__60) ).

tff(f37176,plain,
    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) = aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f2798]) ).

tff(f2798,axiom,
    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) = aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2797_real__sqrt__four) ).

tff(f37175,plain,
    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(nat,complex,aa(complex,fun(nat,complex),power_power(complex),imaginary_unit),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f4184]) ).

tff(f4184,axiom,
    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(nat,complex,aa(complex,fun(nat,complex),power_power(complex),imaginary_unit),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4183_power2__i) ).

tff(f37174,plain,
    filterlim(real,real,aTP_Lamp_sm(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),top_top(set(real)))),
    inference(cnf_transformation,[],[f5929]) ).

tff(f5929,axiom,
    filterlim(real,real,aTP_Lamp_sm(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),top_top(set(real)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5928_LIM__cos__div__sin) ).

tff(f37173,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,ln_ln(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),one_one(real))),
    inference(cnf_transformation,[],[f2255]) ).

tff(f2255,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,ln_ln(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),one_one(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2254_ln__2__less__1) ).

tff(f37172,plain,
    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),zero_zero(nat))),
    inference(cnf_transformation,[],[f5266]) ).

tff(f5266,axiom,
    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),zero_zero(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5265_zero__int__def) ).

tff(f37171,plain,
    one_one(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),one_one(nat)),zero_zero(nat))),
    inference(cnf_transformation,[],[f5269]) ).

tff(f5269,axiom,
    one_one(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),one_one(nat)),zero_zero(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5268_one__int__def) ).

tff(f37170,plain,
    aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int))) = aa(int,int,bit_ri4277139882892585799ns_not(int),zero_zero(int)),
    inference(cnf_transformation,[],[f4604]) ).

tff(f4604,axiom,
    aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int))) = aa(int,int,bit_ri4277139882892585799ns_not(int),zero_zero(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4603_or__not__numerals_I1_J) ).

tff(f37169,plain,
    pi = aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),the(real,aTP_Lamp_iz(real,bool))),
    inference(cnf_transformation,[],[f4243]) ).

tff(f4243,axiom,
    pi = aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),the(real,aTP_Lamp_iz(real,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4242_pi__def) ).

tff(f37168,plain,
    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),at_bot(real)),
    inference(cnf_transformation,[],[f6103]) ).

tff(f6103,axiom,
    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),at_bot(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6102_tendsto__arctan__at__bot) ).

tff(f37167,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f3014]) ).

tff(f3014,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3013_pi__half__ge__zero) ).

tff(f37166,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f3013]) ).

tff(f3013,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3012_pi__half__gt__zero) ).

tff(f37165,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),pi),aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f2989]) ).

tff(f2989,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),pi),aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2988_pi__less__4) ).

tff(f37164,plain,
    divide_divide(real,aa(real,real,uminus_uminus(real),pi),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(aa(complex,complex,uminus_uminus(complex),imaginary_unit)),
    inference(cnf_transformation,[],[f4221]) ).

tff(f4221,axiom,
    divide_divide(real,aa(real,real,uminus_uminus(real),pi),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(aa(complex,complex,uminus_uminus(complex),imaginary_unit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4220_Arg__minus__ii) ).

tff(f37163,plain,
    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = cis(aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f4224]) ).

tff(f4224,axiom,
    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = cis(aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4223_cis__minus__pi__half) ).

tff(f37162,plain,
    top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat)))),
    inference(cnf_transformation,[],[f5520]) ).

tff(f5520,axiom,
    top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5519_UNIV__nat__eq) ).

tff(f37161,plain,
    zero_zero(real) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    inference(cnf_transformation,[],[f3043]) ).

tff(f3043,axiom,
    zero_zero(real) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3042_sin__two__pi) ).

tff(f37160,plain,
    one_one(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    inference(cnf_transformation,[],[f3195]) ).

tff(f3195,axiom,
    one_one(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3194_cos__two__pi) ).

tff(f37159,plain,
    nat_prod_encode = aa(fun(nat,fun(nat,nat)),fun(product_prod(nat,nat),nat),product_case_prod(nat,nat,nat),aTP_Lamp_aje(nat,fun(nat,nat))),
    inference(cnf_transformation,[],[f8159]) ).

tff(f8159,axiom,
    nat_prod_encode = aa(fun(nat,fun(nat,nat)),fun(product_prod(nat,nat),nat),product_case_prod(nat,nat,nat),aTP_Lamp_aje(nat,fun(nat,nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8158_prod__encode__def) ).

tff(f37158,plain,
    filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),one_one(real)),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),one_one(real))))),
    inference(cnf_transformation,[],[f6109]) ).

tff(f6109,axiom,
    filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),one_one(real)),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),one_one(real))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6108_artanh__real__at__right__1) ).

tff(f37157,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),zero_zero(real))),
    inference(cnf_transformation,[],[f3287]) ).

tff(f3287,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),zero_zero(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3286_cos__two__le__zero) ).

tff(f37156,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),zero_zero(real))),
    inference(cnf_transformation,[],[f3285]) ).

tff(f3285,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),zero_zero(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3284_cos__two__less__zero) ).

tff(f37155,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,one_one(real))),aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    inference(cnf_transformation,[],[f2676]) ).

tff(f2676,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,one_one(real))),aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2675_exp__le) ).

tff(f37154,plain,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)),
    inference(cnf_transformation,[],[f145]) ).

tff(f145,axiom,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_nat__1__add__1) ).

tff(f37153,plain,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat)))),
    inference(cnf_transformation,[],[f2392]) ).

tff(f2392,axiom,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2391_numeral__3__eq__3) ).

tff(f37152,plain,
    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
    inference(cnf_transformation,[],[f3401]) ).

tff(f3401,axiom,
    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3400_tan__45) ).

tff(f37151,plain,
    one_one(complex) = cis(aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    inference(cnf_transformation,[],[f4228]) ).

tff(f4228,axiom,
    one_one(complex) = cis(aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4227_cis__2pi) ).

tff(f37150,plain,
    nat_set_encode = groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f3537]) ).

tff(f3537,axiom,
    nat_set_encode = groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3536_set__encode__def) ).

tff(f37149,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,one_one(real)),
    inference(cnf_transformation,[],[f3020]) ).

tff(f3020,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3019_arctan__one) ).

tff(f37148,plain,
    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f2993]) ).

tff(f2993,axiom,
    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2992_pi__half__neq__two) ).

tff(f37147,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f1197]) ).

tff(f1197,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1196_pos2) ).

tff(f37146,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = suminf(real,aTP_Lamp_bh(nat,real)),
    inference(cnf_transformation,[],[f3116]) ).

tff(f3116,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = suminf(real,aTP_Lamp_bh(nat,real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3115_pi__series) ).

tff(f37145,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg)),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__C12_C) ).

tff(f37144,plain,
    pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ma,na))),vEBT_VEBT_low(ma,na))),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,axiom,
    pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ma,na))),vEBT_VEBT_low(ma,na))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14__092_060open_062both__member__options_A_ItreeList_A_B_Ahigh_Ama_An_J_A_Ilow_Ama_An_J_092_060close_062) ).

tff(f37143,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    inference(cnf_transformation,[],[f2991]) ).

tff(f2991,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2990_pi__ge__two) ).

tff(f37142,plain,
    aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))) = nat2(aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f4334]) ).

tff(f4334,axiom,
    aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))) = nat2(aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4333_nat__2) ).

tff(f37141,plain,
    aa(num,option(num),some(num),one2) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,one2),one2),
    inference(cnf_transformation,[],[f6664]) ).

tff(f6664,axiom,
    aa(num,option(num),some(num),one2) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,one2),one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6663_and__num_Osimps_I1_J) ).

tff(f37140,plain,
    zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int))),
    inference(cnf_transformation,[],[f4603]) ).

tff(f4603,axiom,
    zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4602_and__not__numerals_I1_J) ).

tff(f37139,plain,
    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),at_top(real)),
    inference(cnf_transformation,[],[f6148]) ).

tff(f6148,axiom,
    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),at_top(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6147_tendsto__arctan__at__top) ).

tff(f37138,plain,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))),
    inference(cnf_transformation,[],[f1196]) ).

tff(f1196,axiom,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1195_numeral__2__eq__2) ).

tff(f37137,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arccos,zero_zero(real)),
    inference(cnf_transformation,[],[f3461]) ).

tff(f3461,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arccos,zero_zero(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3460_arccos__0) ).

tff(f37136,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,one_one(real)),
    inference(cnf_transformation,[],[f3462]) ).

tff(f3462,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3461_arcsin__1) ).

tff(f37135,plain,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(bool),nat,finite_card(bool),top_top(set(bool))),
    inference(cnf_transformation,[],[f5525]) ).

tff(f5525,axiom,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(bool),nat,finite_card(bool),top_top(set(bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5524_card__UNIV__bool) ).

tff(f37134,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_iz(real,bool)),
    inference(cnf_transformation,[],[f4242]) ).

tff(f4242,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_iz(real,bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4241_pi__half) ).

tff(f37133,plain,
    aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))) = set_ord_greaterThan(nat,zero_zero(nat)),
    inference(cnf_transformation,[],[f6127]) ).

tff(f6127,axiom,
    aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))) = set_ord_greaterThan(nat,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6126_greaterThan__0) ).

tff(f37132,plain,
    aa(num,num,bit0,one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2),
    inference(cnf_transformation,[],[f176]) ).

tff(f176,axiom,
    aa(num,num,bit0,one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_semiring__norm_I2_J) ).

tff(f37131,plain,
    zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f3194]) ).

tff(f3194,axiom,
    zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3193_cos__pi__half) ).

tff(f37130,plain,
    one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f3044]) ).

tff(f3044,axiom,
    one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3043_sin__pi__half) ).

tff(f37129,plain,
    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),set_ord_greaterThan(real,one_one(real)))),
    inference(cnf_transformation,[],[f6117]) ).

tff(f6117,axiom,
    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),set_ord_greaterThan(real,one_one(real)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6116_tendsto__arcosh__at__left__1) ).

tff(f37128,plain,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat)),
    inference(cnf_transformation,[],[f262]) ).

tff(f262,axiom,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_Suc__1) ).

tff(f37127,plain,
    aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)) = code_integer_of_num(aa(num,num,bit0,one2)),
    inference(cnf_transformation,[],[f5351]) ).

tff(f5351,axiom,
    aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)) = code_integer_of_num(aa(num,num,bit0,one2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5350_integer__of__num__triv_I2_J) ).

tff(f37126,plain,
    aa(nat,option(nat),some(nat),lx) = vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),summin)),
    inference(cnf_transformation,[],[f214]) ).

tff(f214,axiom,
    aa(nat,option(nat),some(nat),lx) = vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),summin)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213__092_060open_062Some_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_092_060close_062) ).

tff(f37125,plain,
    none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,one2),one2),
    inference(cnf_transformation,[],[f6665]) ).

tff(f6665,axiom,
    none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,one2),one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6664_xor__num_Osimps_I1_J) ).

tff(f37124,plain,
    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real)),
    inference(cnf_transformation,[],[f6115]) ).

tff(f6115,axiom,
    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6114_tanh__real__at__bot) ).

tff(f37123,plain,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit),
    inference(cnf_transformation,[],[f4223]) ).

tff(f4223,axiom,
    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4222_Arg__ii) ).

tff(f37122,plain,
    imaginary_unit = cis(divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    inference(cnf_transformation,[],[f4227]) ).

tff(f4227,axiom,
    imaginary_unit = cis(divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4226_cis__pi__half) ).

tff(f37121,plain,
    zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f3002]) ).

tff(f3002,axiom,
    zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3001_pi__half__neq__zero) ).

tff(f37120,plain,
    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real)))),
    inference(cnf_transformation,[],[f6133]) ).

tff(f6133,axiom,
    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6132_artanh__real__at__left__1) ).

tff(f37119,plain,
    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos),
    inference(cnf_transformation,[],[f6399]) ).

tff(f6399,axiom,
    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6398_continuous__on__arccos_H) ).

tff(f37118,plain,
    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin),
    inference(cnf_transformation,[],[f6400]) ).

tff(f6400,axiom,
    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6399_continuous__on__arcsin_H) ).

tff(f37117,plain,
    field_char_0_Rats(real) = aa(fun(real,bool),set(real),collect(real),aTP_Lamp_aib(real,bool)),
    inference(cnf_transformation,[],[f7916]) ).

tff(f7916,axiom,
    field_char_0_Rats(real) = aa(fun(real,bool),set(real),collect(real),aTP_Lamp_aib(real,bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7915_Rats__eq__int__div__int) ).

tff(f37116,plain,
    field_char_0_Rats(real) = aa(fun(real,bool),set(real),collect(real),aTP_Lamp_ahz(real,bool)),
    inference(cnf_transformation,[],[f7902]) ).

tff(f7902,axiom,
    field_char_0_Rats(real) = aa(fun(real,bool),set(real),collect(real),aTP_Lamp_ahz(real,bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7901_Rats__eq__int__div__nat) ).

tff(f37115,plain,
    na = divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    na = divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__C9_C) ).

tff(f37114,plain,
    sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f4397]) ).

tff(f4397,axiom,
    sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4396_sqrt__def) ).

tff(f37113,plain,
    zero_zero(real) != cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f3264]) ).

tff(f3264,axiom,
    zero_zero(real) != cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3263_cos__two__neq__zero) ).

tff(f37112,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),one_one(nat)),na)),
    inference(cnf_transformation,[],[f97]) ).

tff(f97,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),one_one(nat)),na)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96__C11_C) ).

tff(f37111,plain,
    pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),vEBT_VEBT_high(ma,na))),
    inference(cnf_transformation,[],[f51]) ).

tff(f51,axiom,
    pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),vEBT_VEBT_high(ma,na))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50__092_060open_062both__member__options_Asummary_A_Ihigh_Ama_An_J_092_060close_062) ).

tff(f37110,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),pi)),
    inference(cnf_transformation,[],[f2972]) ).

tff(f2972,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2971_pi__ge__zero) ).

tff(f37109,plain,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),pi)),
    inference(cnf_transformation,[],[f2970]) ).

tff(f2970,axiom,
    pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),pi)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2969_pi__gt__zero) ).

tff(f37108,plain,
    deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C3_C) ).

tff(f37107,plain,
    ~ pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),pi),zero_zero(real))),
    inference(cnf_transformation,[],[f2971]) ).

tff(f2971,axiom,
    ~ pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),pi),zero_zero(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2970_pi__not__less__zero) ).

tff(f37106,plain,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),mi),ma)),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,axiom,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),mi),ma)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22__C5_Ohyps_C_I7_J) ).

tff(f37105,plain,
    pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),summin)),lx)),
    inference(cnf_transformation,[],[f179]) ).

tff(f179,axiom,
    pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),summin)),lx)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178__092_060open_062vebt__member_A_ItreeList_A_B_Asummin_J_Alx_092_060close_062) ).

tff(f37104,plain,
    aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)) = suc,
    inference(cnf_transformation,[],[f323]) ).

tff(f323,axiom,
    aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)) = suc,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_plus__1__eq__Suc) ).

tff(f37103,plain,
    aa(num,nat,numeral_numeral(nat),one2) = aa(nat,nat,suc,zero_zero(nat)),
    inference(cnf_transformation,[],[f1137]) ).

tff(f1137,axiom,
    aa(num,nat,numeral_numeral(nat),one2) = aa(nat,nat,suc,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1136_numeral__1__eq__Suc__0) ).

tff(f37102,plain,
    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real))),
    inference(cnf_transformation,[],[f3451]) ).

tff(f3451,axiom,
    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3450_arccos__minus__1) ).

tff(f37101,plain,
    vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat)),
    inference(cnf_transformation,[],[f524]) ).

tff(f524,axiom,
    vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_523_mul__def) ).

tff(f37100,plain,
    vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat)),
    inference(cnf_transformation,[],[f525]) ).

tff(f525,axiom,
    vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_524_add__def) ).

tff(f37099,plain,
    vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat)),
    inference(cnf_transformation,[],[f405]) ).

tff(f405,axiom,
    vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_404_local_Opower__def) ).

tff(f37098,plain,
    filterlim(nat,real,aTP_Lamp_ti(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat)),
    inference(cnf_transformation,[],[f5977]) ).

tff(f5977,axiom,
    filterlim(nat,real,aTP_Lamp_ti(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5976_lim__inverse__n_H) ).

tff(f37097,plain,
    filterlim(nat,real,aTP_Lamp_tk(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat)),
    inference(cnf_transformation,[],[f5979]) ).

tff(f5979,axiom,
    filterlim(nat,real,aTP_Lamp_tk(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5978_LIMSEQ__inverse__real__of__nat) ).

tff(f37096,plain,
    filterlim(nat,real,aTP_Lamp_tb(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat)),
    inference(cnf_transformation,[],[f5969]) ).

tff(f5969,axiom,
    filterlim(nat,real,aTP_Lamp_tb(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5968_LIMSEQ__root) ).

tff(f37095,plain,
    filterlim(real,real,aTP_Lamp_ve(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(real)),
    inference(cnf_transformation,[],[f6139]) ).

tff(f6139,axiom,
    filterlim(real,real,aTP_Lamp_ve(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6138_ln__x__over__x__tendsto__0) ).

tff(f37094,plain,
    one_one(nat) = aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))),
    inference(cnf_transformation,[],[f5523]) ).

tff(f5523,axiom,
    one_one(nat) = aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5522_card__UNIV__unit) ).

tff(f37093,plain,
    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real)),
    inference(cnf_transformation,[],[f6131]) ).

tff(f6131,axiom,
    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6130_tanh__real__at__top) ).

tff(f37092,plain,
    aa(real,real,uminus_uminus(real),one_one(real)) = cos(real,pi),
    inference(cnf_transformation,[],[f3168]) ).

tff(f3168,axiom,
    aa(real,real,uminus_uminus(real),one_one(real)) = cos(real,pi),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3167_cos__pi) ).

tff(f37091,plain,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))),
    inference(cnf_transformation,[],[f1387]) ).

tff(f1387,axiom,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1386_vebt__buildup_Osimps_I2_J) ).

tff(f37090,plain,
    vEBT_vebt_mint(summary) = aa(nat,option(nat),some(nat),summin),
    inference(cnf_transformation,[],[f213]) ).

tff(f213,axiom,
    vEBT_vebt_mint(summary) = aa(nat,option(nat),some(nat),summin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212__092_060open_062Some_Asummin_A_061_Avebt__mint_Asummary_092_060close_062) ).

tff(f37089,plain,
    aa(nat,nat,suc,zero_zero(nat)) = nat2(one_one(int)),
    inference(cnf_transformation,[],[f4262]) ).

tff(f4262,axiom,
    aa(nat,nat,suc,zero_zero(nat)) = nat2(one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4261_nat__1) ).

tff(f37088,plain,
    one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat)),
    inference(cnf_transformation,[],[f3065]) ).

tff(f3065,axiom,
    one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3064_int__ops_I2_J) ).

tff(f37087,plain,
    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),summin),na),
    inference(cnf_transformation,[],[f50]) ).

tff(f50,axiom,
    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),summin),na),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49__092_060open_062invar__vebt_A_ItreeList_A_B_Asummin_J_An_092_060close_062) ).

tff(f37086,plain,
    pp(aa(nat,bool,vEBT_vebt_member(summary),vEBT_VEBT_high(ma,na))),
    inference(cnf_transformation,[],[f178]) ).

tff(f178,axiom,
    pp(aa(nat,bool,vEBT_vebt_member(summary),vEBT_VEBT_high(ma,na))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177__092_060open_062vebt__member_Asummary_A_Ihigh_Ama_An_J_092_060close_062) ).

tff(f37085,plain,
    zero_zero(nat) = aa(num,nat,size_size(num),one2),
    inference(cnf_transformation,[],[f896]) ).

tff(f896,axiom,
    zero_zero(nat) = aa(num,nat,size_size(num),one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_895_num_Osize_I4_J) ).

tff(f37084,plain,
    zero_zero(real) = aa(real,real,sqrt,zero_zero(real)),
    inference(cnf_transformation,[],[f2780]) ).

tff(f2780,axiom,
    zero_zero(real) = aa(real,real,sqrt,zero_zero(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2779_real__sqrt__zero) ).

tff(f37083,plain,
    zero_zero(real) = aa(real,real,arccos,one_one(real)),
    inference(cnf_transformation,[],[f3448]) ).

tff(f3448,axiom,
    zero_zero(real) = aa(real,real,arccos,one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3447_arccos__1) ).

tff(f37082,plain,
    one_one(nat) = aa(nat,nat,suc,zero_zero(nat)),
    inference(cnf_transformation,[],[f1050]) ).

tff(f1050,axiom,
    one_one(nat) = aa(nat,nat,suc,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1049_One__nat__def) ).

tff(f37081,plain,
    one_one(nat) = aa(num,nat,numeral_numeral(nat),one2),
    inference(cnf_transformation,[],[f139]) ).

tff(f139,axiom,
    one_one(nat) = aa(num,nat,numeral_numeral(nat),one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_numerals_I1_J) ).

tff(f37080,plain,
    one_one(real) = aa(real,real,sqrt,one_one(real)),
    inference(cnf_transformation,[],[f2783]) ).

tff(f2783,axiom,
    one_one(real) = aa(real,real,sqrt,one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2782_real__sqrt__one) ).

tff(f37079,plain,
    ord_max(nat) = sup_sup(nat),
    inference(cnf_transformation,[],[f6922]) ).

tff(f6922,axiom,
    ord_max(nat) = sup_sup(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6921_sup__nat__def) ).

tff(f37078,plain,
    ord_max(int) = sup_sup(int),
    inference(cnf_transformation,[],[f6920]) ).

tff(f6920,axiom,
    ord_max(int) = sup_sup(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6919_sup__int__def) ).

tff(f37077,plain,
    ord_max(extended_enat) = sup_sup(extended_enat),
    inference(cnf_transformation,[],[f6923]) ).

tff(f6923,axiom,
    ord_max(extended_enat) = sup_sup(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6922_sup__enat__def) ).

tff(f37076,plain,
    ord_min(nat) = inf_inf(nat),
    inference(cnf_transformation,[],[f7766]) ).

tff(f7766,axiom,
    ord_min(nat) = inf_inf(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7765_inf__nat__def) ).

tff(f37075,plain,
    ord_min(extended_enat) = inf_inf(extended_enat),
    inference(cnf_transformation,[],[f7864]) ).

tff(f7864,axiom,
    ord_min(extended_enat) = inf_inf(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7863_inf__enat__def) ).

tff(f37074,plain,
    filterlim(nat,nat,suc,at_top(nat),at_top(nat)),
    inference(cnf_transformation,[],[f5948]) ).

tff(f5948,axiom,
    filterlim(nat,nat,suc,at_top(nat),at_top(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5947_filterlim__Suc) ).

tff(f37073,plain,
    filterlim(real,real,sqrt,at_top(real),at_top(real)),
    inference(cnf_transformation,[],[f6125]) ).

tff(f6125,axiom,
    filterlim(real,real,sqrt,at_top(real),at_top(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6124_sqrt__at__top) ).

tff(f37072,plain,
    aa(num,num,bit0,one2) = inc(one2),
    inference(cnf_transformation,[],[f2448]) ).

tff(f2448,axiom,
    aa(num,num,bit0,one2) = inc(one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2447_inc_Osimps_I1_J) ).

tff(f37071,plain,
    one_one(complex) = complex2(one_one(real),zero_zero(real)),
    inference(cnf_transformation,[],[f3364]) ).

tff(f3364,axiom,
    one_one(complex) = complex2(one_one(real),zero_zero(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3363_one__complex_Ocode) ).

tff(f37070,plain,
    bit_un2480387367778600638or_num = bit_un6178654185764691216or_num,
    inference(cnf_transformation,[],[f6689]) ).

tff(f6689,axiom,
    bit_un2480387367778600638or_num = bit_un6178654185764691216or_num,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6688_xor__num__dict) ).

tff(f37069,plain,
    bit_un7362597486090784418nd_num = bit_un1837492267222099188nd_num,
    inference(cnf_transformation,[],[f6690]) ).

tff(f6690,axiom,
    bit_un7362597486090784418nd_num = bit_un1837492267222099188nd_num,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6689_and__num__dict) ).

tff(f37068,plain,
    sums(real,aTP_Lamp_dy(nat,real),one_one(real)),
    inference(cnf_transformation,[],[f3641]) ).

tff(f3641,axiom,
    sums(real,aTP_Lamp_dy(nat,real),one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3640_power__half__series) ).

tff(f37067,plain,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero(nat)),
    inference(cnf_transformation,[],[f1300]) ).

tff(f1300,axiom,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1299_vebt__buildup_Osimps_I1_J) ).

tff(f37066,plain,
    none(num) = bit_and_not_num(one2,one2),
    inference(cnf_transformation,[],[f6447]) ).

tff(f6447,axiom,
    none(num) = bit_and_not_num(one2,one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6446_and__not__num_Osimps_I1_J) ).

tff(f37065,plain,
    imaginary_unit = complex2(zero_zero(real),one_one(real)),
    inference(cnf_transformation,[],[f4209]) ).

tff(f4209,axiom,
    imaginary_unit = complex2(zero_zero(real),one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4208_imaginary__unit_Ocode) ).

tff(f37064,plain,
    m = aa(nat,nat,suc,na),
    inference(cnf_transformation,[],[f239]) ).

tff(f239,axiom,
    m = aa(nat,nat,suc,na),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238__C8_C) ).

tff(f37063,plain,
    one_one(nat) = nat2(one_one(int)),
    inference(cnf_transformation,[],[f4290]) ).

tff(f4290,axiom,
    one_one(nat) = nat2(one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4289_nat__one__as__int) ).

tff(f37062,plain,
    one_one(nat) = code_nat_of_integer(one_one(code_integer)),
    inference(cnf_transformation,[],[f4829]) ).

tff(f4829,axiom,
    one_one(nat) = code_nat_of_integer(one_one(code_integer)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4828_nat__of__integer__code__post_I2_J) ).

tff(f37061,plain,
    one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit),
    inference(cnf_transformation,[],[f4183]) ).

tff(f4183,axiom,
    one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4182_norm__ii) ).

tff(f37060,plain,
    one_one(real) = re(one_one(complex)),
    inference(cnf_transformation,[],[f4704]) ).

tff(f4704,axiom,
    one_one(real) = re(one_one(complex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4703_one__complex_Osimps_I1_J) ).

tff(f37059,plain,
    one_one(real) = cos_coeff(zero_zero(nat)),
    inference(cnf_transformation,[],[f3659]) ).

tff(f3659,axiom,
    one_one(real) = cos_coeff(zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3658_cos__coeff__0) ).

tff(f37058,plain,
    pp(vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse))),
    inference(cnf_transformation,[],[f864]) ).

tff(f864,axiom,
    pp(vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_863_VEBT__internal_OminNull_Osimps_I1_J) ).

tff(f37057,plain,
    zero_zero(nat) = bot_bot(nat),
    inference(cnf_transformation,[],[f1291]) ).

tff(f1291,axiom,
    zero_zero(nat) = bot_bot(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1290_bot__nat__def) ).

tff(f37056,plain,
    zero_zero(nat) = pred_numeral(one2),
    inference(cnf_transformation,[],[f2425]) ).

tff(f2425,axiom,
    zero_zero(nat) = pred_numeral(one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2424_pred__numeral__simps_I1_J) ).

tff(f37055,plain,
    zero_zero(nat) = size_num(one2),
    inference(cnf_transformation,[],[f2223]) ).

tff(f2223,axiom,
    zero_zero(nat) = size_num(one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2222_num_Osize__gen_I1_J) ).

tff(f37054,plain,
    zero_zero(extended_enat) = bot_bot(extended_enat),
    inference(cnf_transformation,[],[f1455]) ).

tff(f1455,axiom,
    zero_zero(extended_enat) = bot_bot(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1454_bot__enat__def) ).

tff(f37052,plain,
    one_one(real) = im(imaginary_unit),
    inference(cnf_transformation,[],[f4723]) ).

tff(f4723,axiom,
    one_one(real) = im(imaginary_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4722_imaginary__unit_Osimps_I2_J) ).

tff(f37051,plain,
    one_one(code_integer) = code_integer_of_num(one2),
    inference(cnf_transformation,[],[f5429]) ).

tff(f5429,axiom,
    one_one(code_integer) = code_integer_of_num(one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5428_integer__of__num__triv_I1_J) ).

tff(f37050,plain,
    one2 = bit_or_not_num_neg(one2,one2),
    inference(cnf_transformation,[],[f2734]) ).

tff(f2734,axiom,
    one2 = bit_or_not_num_neg(one2,one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2733_or__not__num__neg_Osimps_I1_J) ).

tff(f37049,plain,
    one2 = num_of_nat(zero_zero(nat)),
    inference(cnf_transformation,[],[f5305]) ).

tff(f5305,axiom,
    one2 = num_of_nat(zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5304_num__of__nat_Osimps_I1_J) ).

tff(f37048,plain,
    zero_zero(extended_enat) != one_one(extended_enat),
    inference(cnf_transformation,[],[f1454]) ).

tff(f1454,axiom,
    zero_zero(extended_enat) != one_one(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1453_zero__one__enat__neq_I1_J) ).

tff(f37047,plain,
    order_mono(nat,nat,suc),
    inference(cnf_transformation,[],[f6598]) ).

tff(f6598,axiom,
    order_mono(nat,nat,suc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6597_mono__Suc) ).

tff(f37046,plain,
    one2 = bitM(one2),
    inference(cnf_transformation,[],[f2526]) ).

tff(f2526,axiom,
    one2 = bitM(one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2525_semiring__norm_I26_J) ).

tff(f37045,plain,
    one2 = sqr(one2),
    inference(cnf_transformation,[],[f5343]) ).

tff(f5343,axiom,
    one2 = sqr(one2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5342_sqr_Osimps_I1_J) ).

tff(f37044,plain,
    vEBT_invar_vebt(summary,m),
    inference(cnf_transformation,[],[f36]) ).

tff(f36,axiom,
    vEBT_invar_vebt(summary,m),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35__C1_C) ).

tff(f37043,plain,
    mi = xa,
    inference(cnf_transformation,[],[f98]) ).

tff(f98,axiom,
    mi = xa,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_xmi) ).

tff(f37042,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f9774]) ).

tff(f9774,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

tff(f37041,plain,
    order(nat),
    inference(cnf_transformation,[],[f9318]) ).

tff(f9318,axiom,
    order(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_90) ).

tff(f37040,plain,
    order(bool),
    inference(cnf_transformation,[],[f9368]) ).

tff(f9368,axiom,
    order(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder_139) ).

tff(f37039,plain,
    order(real),
    inference(cnf_transformation,[],[f9481]) ).

tff(f9481,axiom,
    order(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oorder_221) ).

tff(f37038,plain,
    order(num),
    inference(cnf_transformation,[],[f9330]) ).

tff(f9330,axiom,
    order(num),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oorder_101) ).

tff(f37037,plain,
    order(int),
    inference(cnf_transformation,[],[f9222]) ).

tff(f9222,axiom,
    order(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oorder_11) ).

tff(f37036,plain,
    order(code_integer),
    inference(cnf_transformation,[],[f9748]) ).

tff(f9748,axiom,
    order(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oorder_485) ).

tff(f37035,plain,
    order(extended_enat),
    inference(cnf_transformation,[],[f9634]) ).

tff(f9634,axiom,
    order(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder_371) ).

tff(f37034,plain,
    order(product_unit),
    inference(cnf_transformation,[],[f9663]) ).

tff(f9663,axiom,
    order(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder_400) ).

tff(f37033,plain,
    ord(nat),
    inference(cnf_transformation,[],[f9320]) ).

tff(f9320,axiom,
    ord(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oord_92) ).

tff(f37032,plain,
    ord(bool),
    inference(cnf_transformation,[],[f9369]) ).

tff(f9369,axiom,
    ord(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oord_140) ).

tff(f37031,plain,
    ord(real),
    inference(cnf_transformation,[],[f9486]) ).

tff(f9486,axiom,
    ord(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oord_225) ).

tff(f37030,plain,
    ord(num),
    inference(cnf_transformation,[],[f9331]) ).

tff(f9331,axiom,
    ord(num),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oord_102) ).

tff(f37029,plain,
    ord(int),
    inference(cnf_transformation,[],[f9226]) ).

tff(f9226,axiom,
    ord(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oord_12) ).

tff(f37028,plain,
    ord(code_integer),
    inference(cnf_transformation,[],[f9752]) ).

tff(f9752,axiom,
    ord(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oord_489) ).

tff(f37027,plain,
    ord(extended_enat),
    inference(cnf_transformation,[],[f9636]) ).

tff(f9636,axiom,
    ord(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oord_373) ).

tff(f37026,plain,
    ord(product_unit),
    inference(cnf_transformation,[],[f9664]) ).

tff(f9664,axiom,
    ord(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oord_401) ).

tff(f37025,plain,
    preorder(nat),
    inference(cnf_transformation,[],[f9308]) ).

tff(f9308,axiom,
    preorder(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Opreorder_80) ).

tff(f37024,plain,
    preorder(bool),
    inference(cnf_transformation,[],[f9365]) ).

tff(f9365,axiom,
    preorder(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Opreorder_136) ).

tff(f37023,plain,
    preorder(real),
    inference(cnf_transformation,[],[f9466]) ).

tff(f9466,axiom,
    preorder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Opreorder_207) ).

tff(f37022,plain,
    preorder(num),
    inference(cnf_transformation,[],[f9328]) ).

tff(f9328,axiom,
    preorder(num),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Opreorder_99) ).

tff(f37021,plain,
    preorder(int),
    inference(cnf_transformation,[],[f9206]) ).

tff(f9206,axiom,
    preorder(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Opreorder_9) ).

tff(f37020,plain,
    preorder(code_integer),
    inference(cnf_transformation,[],[f9736]) ).

tff(f9736,axiom,
    preorder(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Opreorder_473) ).

tff(f37019,plain,
    preorder(extended_enat),
    inference(cnf_transformation,[],[f9626]) ).

tff(f9626,axiom,
    preorder(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Opreorder_363) ).

tff(f37018,plain,
    preorder(product_unit),
    inference(cnf_transformation,[],[f9660]) ).

tff(f9660,axiom,
    preorder(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Opreorder_397) ).

tff(f37017,plain,
    semilattice_sup(nat),
    inference(cnf_transformation,[],[f9283]) ).

tff(f9283,axiom,
    semilattice_sup(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__sup_57) ).

tff(f37016,plain,
    semilattice_sup(bool),
    inference(cnf_transformation,[],[f9361]) ).

tff(f9361,axiom,
    semilattice_sup(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__sup_132) ).

tff(f37015,plain,
    semilattice_sup(real),
    inference(cnf_transformation,[],[f9437]) ).

tff(f9437,axiom,
    semilattice_sup(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__sup_183) ).

tff(f37014,plain,
    semilattice_sup(int),
    inference(cnf_transformation,[],[f9177]) ).

tff(f9177,axiom,
    semilattice_sup(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__sup_7) ).

tff(f37013,plain,
    semilattice_sup(extended_enat),
    inference(cnf_transformation,[],[f9607]) ).

tff(f9607,axiom,
    semilattice_sup(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__sup_344) ).

tff(f37012,plain,
    semilattice_sup(product_unit),
    inference(cnf_transformation,[],[f9655]) ).

tff(f9655,axiom,
    semilattice_sup(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__sup_392) ).

tff(f37011,plain,
    semilattice_inf(nat),
    inference(cnf_transformation,[],[f9284]) ).

tff(f9284,axiom,
    semilattice_inf(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__inf_58) ).

tff(f37010,plain,
    semilattice_inf(bool),
    inference(cnf_transformation,[],[f9362]) ).

tff(f9362,axiom,
    semilattice_inf(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__inf_133) ).

tff(f37009,plain,
    semilattice_inf(real),
    inference(cnf_transformation,[],[f9438]) ).

tff(f9438,axiom,
    semilattice_inf(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__inf_184) ).

tff(f37008,plain,
    semilattice_inf(int),
    inference(cnf_transformation,[],[f9178]) ).

tff(f9178,axiom,
    semilattice_inf(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__inf_8) ).

tff(f37007,plain,
    semilattice_inf(extended_enat),
    inference(cnf_transformation,[],[f9608]) ).

tff(f9608,axiom,
    semilattice_inf(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__inf_345) ).

tff(f37006,plain,
    semilattice_inf(product_unit),
    inference(cnf_transformation,[],[f9656]) ).

tff(f9656,axiom,
    semilattice_inf(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__inf_393) ).

tff(f37005,plain,
    condit1219197933456340205attice(nat),
    inference(cnf_transformation,[],[f9239]) ).

tff(f9239,axiom,
    condit1219197933456340205attice(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_15) ).

tff(f37004,plain,
    condit1219197933456340205attice(bool),
    inference(cnf_transformation,[],[f9350]) ).

tff(f9350,axiom,
    condit1219197933456340205attice(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_121) ).

tff(f37003,plain,
    condit1219197933456340205attice(real),
    inference(cnf_transformation,[],[f9373]) ).

tff(f9373,axiom,
    condit1219197933456340205attice(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_144) ).

tff(f37002,plain,
    condit1219197933456340205attice(int),
    inference(cnf_transformation,[],[f9124]) ).

tff(f9124,axiom,
    condit1219197933456340205attice(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_6) ).

tff(f37001,plain,
    condit1219197933456340205attice(extended_enat),
    inference(cnf_transformation,[],[f9591]) ).

tff(f9591,axiom,
    condit1219197933456340205attice(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_329) ).

tff(f37000,plain,
    condit1219197933456340205attice(product_unit),
    inference(cnf_transformation,[],[f9647]) ).

tff(f9647,axiom,
    condit1219197933456340205attice(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_384) ).

tff(f36999,plain,
    lattice(nat),
    inference(cnf_transformation,[],[f9315]) ).

tff(f9315,axiom,
    lattice(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Olattice_87) ).

tff(f36998,plain,
    lattice(bool),
    inference(cnf_transformation,[],[f9367]) ).

tff(f9367,axiom,
    lattice(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Olattice_138) ).

tff(f36997,plain,
    lattice(real),
    inference(cnf_transformation,[],[f9477]) ).

tff(f9477,axiom,
    lattice(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Olattice_217) ).

tff(f36996,plain,
    lattice(int),
    inference(cnf_transformation,[],[f9217]) ).

tff(f9217,axiom,
    lattice(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Olattice_10) ).

tff(f36995,plain,
    lattice(extended_enat),
    inference(cnf_transformation,[],[f9632]) ).

tff(f9632,axiom,
    lattice(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Olattice_369) ).

tff(f36994,plain,
    lattice(product_unit),
    inference(cnf_transformation,[],[f9662]) ).

tff(f9662,axiom,
    lattice(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Olattice_399) ).

tff(f36993,plain,
    linorder(nat),
    inference(cnf_transformation,[],[f9309]) ).

tff(f9309,axiom,
    linorder(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Olinorder_81) ).

tff(f36992,plain,
    linorder(bool),
    inference(cnf_transformation,[],[f9366]) ).

tff(f9366,axiom,
    linorder(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Olinorder_137) ).

tff(f36991,plain,
    linorder(real),
    inference(cnf_transformation,[],[f9467]) ).

tff(f9467,axiom,
    linorder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Olinorder_208) ).

tff(f36990,plain,
    linorder(num),
    inference(cnf_transformation,[],[f9329]) ).

tff(f9329,axiom,
    linorder(num),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Olinorder_100) ).

tff(f36989,plain,
    linorder(int),
    inference(cnf_transformation,[],[f9207]) ).

tff(f9207,axiom,
    linorder(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Olinorder) ).

tff(f36988,plain,
    linorder(code_integer),
    inference(cnf_transformation,[],[f9737]) ).

tff(f9737,axiom,
    linorder(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Olinorder_474) ).

tff(f36987,plain,
    linorder(extended_enat),
    inference(cnf_transformation,[],[f9627]) ).

tff(f9627,axiom,
    linorder(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_364) ).

tff(f36986,plain,
    linorder(product_unit),
    inference(cnf_transformation,[],[f9661]) ).

tff(f9661,axiom,
    linorder(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Olinorder_398) ).

tff(f36985,plain,
    uminus(bool),
    inference(cnf_transformation,[],[f9370]) ).

tff(f9370,axiom,
    uminus(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ouminus_141) ).

tff(f36984,plain,
    uminus(real),
    inference(cnf_transformation,[],[f9487]) ).

tff(f9487,axiom,
    uminus(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ouminus_226) ).

tff(f36983,plain,
    uminus(int),
    inference(cnf_transformation,[],[f9227]) ).

tff(f9227,axiom,
    uminus(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ouminus_13) ).

tff(f36982,plain,
    uminus(complex),
    inference(cnf_transformation,[],[f9579]) ).

tff(f9579,axiom,
    uminus(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ouminus_317) ).

tff(f36981,plain,
    uminus(code_integer),
    inference(cnf_transformation,[],[f9753]) ).

tff(f9753,axiom,
    uminus(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ouminus_490) ).

tff(f36980,plain,
    uminus(product_unit),
    inference(cnf_transformation,[],[f9665]) ).

tff(f9665,axiom,
    uminus(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ouminus_402) ).

tff(f36975,plain,
    order_bot(nat),
    inference(cnf_transformation,[],[f9305]) ).

tff(f9305,axiom,
    order_bot(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder__bot_77) ).

tff(f36974,plain,
    order_bot(bool),
    inference(cnf_transformation,[],[f9364]) ).

tff(f9364,axiom,
    order_bot(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__bot_135) ).

tff(f36973,plain,
    order_bot(extended_enat),
    inference(cnf_transformation,[],[f9623]) ).

tff(f9623,axiom,
    order_bot(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__bot_360) ).

tff(f36972,plain,
    order_bot(product_unit),
    inference(cnf_transformation,[],[f9659]) ).

tff(f9659,axiom,
    order_bot(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__bot_396) ).

tff(f36964,plain,
    comm_monoid_mult(nat),
    inference(cnf_transformation,[],[f9288]) ).

tff(f9288,axiom,
    comm_monoid_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__mult_62) ).

tff(f36963,plain,
    comm_monoid_mult(real),
    inference(cnf_transformation,[],[f9441]) ).

tff(f9441,axiom,
    comm_monoid_mult(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__mult_187) ).

tff(f36962,plain,
    comm_monoid_mult(int),
    inference(cnf_transformation,[],[f9182]) ).

tff(f9182,axiom,
    comm_monoid_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__mult) ).

tff(f36961,plain,
    comm_monoid_mult(complex),
    inference(cnf_transformation,[],[f9549]) ).

tff(f9549,axiom,
    comm_monoid_mult(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__mult_287) ).

tff(f36960,plain,
    comm_monoid_mult(code_integer),
    inference(cnf_transformation,[],[f9712]) ).

tff(f9712,axiom,
    comm_monoid_mult(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__mult_449) ).

tff(f36959,plain,
    comm_monoid_mult(extended_enat),
    inference(cnf_transformation,[],[f9610]) ).

tff(f9610,axiom,
    comm_monoid_mult(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__mult_347) ).

tff(f36958,plain,
    topolo4958980785337419405_space(nat),
    inference(cnf_transformation,[],[f9258]) ).

tff(f9258,axiom,
    topolo4958980785337419405_space(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Otopological__space_32) ).

tff(f36957,plain,
    topolo4958980785337419405_space(bool),
    inference(cnf_transformation,[],[f9353]) ).

tff(f9353,axiom,
    topolo4958980785337419405_space(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Otopological__space_124) ).

tff(f36956,plain,
    topolo4958980785337419405_space(real),
    inference(cnf_transformation,[],[f9391]) ).

tff(f9391,axiom,
    topolo4958980785337419405_space(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Otopological__space_154) ).

tff(f36955,plain,
    topolo4958980785337419405_space(int),
    inference(cnf_transformation,[],[f9143]) ).

tff(f9143,axiom,
    topolo4958980785337419405_space(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Otopological__space) ).

tff(f36954,plain,
    topolo4958980785337419405_space(complex),
    inference(cnf_transformation,[],[f9522]) ).

tff(f9522,axiom,
    topolo4958980785337419405_space(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Otopological__space_260) ).

tff(f36953,plain,
    comm_monoid_add(nat),
    inference(cnf_transformation,[],[f9293]) ).

tff(f9293,axiom,
    comm_monoid_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add_66) ).

tff(f36952,plain,
    comm_monoid_add(real),
    inference(cnf_transformation,[],[f9446]) ).

tff(f9446,axiom,
    comm_monoid_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__add_191) ).

tff(f36951,plain,
    comm_monoid_add(int),
    inference(cnf_transformation,[],[f9187]) ).

tff(f9187,axiom,
    comm_monoid_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__add) ).

tff(f36950,plain,
    comm_monoid_add(complex),
    inference(cnf_transformation,[],[f9551]) ).

tff(f9551,axiom,
    comm_monoid_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__add_289) ).

tff(f36949,plain,
    comm_monoid_add(code_integer),
    inference(cnf_transformation,[],[f9717]) ).

tff(f9717,axiom,
    comm_monoid_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__add_454) ).

tff(f36948,plain,
    comm_monoid_add(extended_enat),
    inference(cnf_transformation,[],[f9613]) ).

tff(f9613,axiom,
    comm_monoid_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__add_350) ).

tff(f36947,plain,
    comple6319245703460814977attice(bool),
    inference(cnf_transformation,[],[f9357]) ).

tff(f9357,axiom,
    comple6319245703460814977attice(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__lattice_128) ).

tff(f36946,plain,
    comple6319245703460814977attice(extended_enat),
    inference(cnf_transformation,[],[f9601]) ).

tff(f9601,axiom,
    comple6319245703460814977attice(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__lattice_338) ).

tff(f36945,plain,
    comple6319245703460814977attice(product_unit),
    inference(cnf_transformation,[],[f9653]) ).

tff(f9653,axiom,
    comple6319245703460814977attice(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__lattice_390) ).

tff(f36944,plain,
    topological_t2_space(nat),
    inference(cnf_transformation,[],[f9277]) ).

tff(f9277,axiom,
    topological_t2_space(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Ot2__space_51) ).

tff(f36943,plain,
    topological_t2_space(bool),
    inference(cnf_transformation,[],[f9360]) ).

tff(f9360,axiom,
    topological_t2_space(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Ot2__space_131) ).

tff(f36942,plain,
    topological_t2_space(real),
    inference(cnf_transformation,[],[f9427]) ).

tff(f9427,axiom,
    topological_t2_space(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ot2__space_175) ).

tff(f36941,plain,
    topological_t2_space(int),
    inference(cnf_transformation,[],[f9169]) ).

tff(f9169,axiom,
    topological_t2_space(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Ot2__space) ).

tff(f36940,plain,
    topological_t2_space(complex),
    inference(cnf_transformation,[],[f9544]) ).

tff(f9544,axiom,
    topological_t2_space(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ot2__space_282) ).

tff(f36939,plain,
    monoid_mult(nat),
    inference(cnf_transformation,[],[f9310]) ).

tff(f9310,axiom,
    monoid_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__mult_82) ).

tff(f36938,plain,
    monoid_mult(real),
    inference(cnf_transformation,[],[f9468]) ).

tff(f9468,axiom,
    monoid_mult(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__mult_209) ).

tff(f36937,plain,
    monoid_mult(int),
    inference(cnf_transformation,[],[f9208]) ).

tff(f9208,axiom,
    monoid_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__mult) ).

tff(f36936,plain,
    monoid_mult(complex),
    inference(cnf_transformation,[],[f9566]) ).

tff(f9566,axiom,
    monoid_mult(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__mult_304) ).

tff(f36935,plain,
    monoid_mult(code_integer),
    inference(cnf_transformation,[],[f9738]) ).

tff(f9738,axiom,
    monoid_mult(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__mult_475) ).

tff(f36934,plain,
    monoid_mult(extended_enat),
    inference(cnf_transformation,[],[f9628]) ).

tff(f9628,axiom,
    monoid_mult(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__mult_365) ).

tff(f36933,plain,
    semiring_1(nat),
    inference(cnf_transformation,[],[f9312]) ).

tff(f9312,axiom,
    semiring_1(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1_84) ).

tff(f36932,plain,
    semiring_1(real),
    inference(cnf_transformation,[],[f9473]) ).

tff(f9473,axiom,
    semiring_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1_213) ).

tff(f36931,plain,
    semiring_1(int),
    inference(cnf_transformation,[],[f9213]) ).

tff(f9213,axiom,
    semiring_1(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1) ).

tff(f36930,plain,
    semiring_1(complex),
    inference(cnf_transformation,[],[f9570]) ).

tff(f9570,axiom,
    semiring_1(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1_308) ).

tff(f36929,plain,
    semiring_1(code_integer),
    inference(cnf_transformation,[],[f9743]) ).

tff(f9743,axiom,
    semiring_1(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1_480) ).

tff(f36928,plain,
    semiring_1(extended_enat),
    inference(cnf_transformation,[],[f9630]) ).

tff(f9630,axiom,
    semiring_1(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__1_367) ).

tff(f36927,plain,
    comm_semiring_1(nat),
    inference(cnf_transformation,[],[f9295]) ).

tff(f9295,axiom,
    comm_semiring_1(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1_68) ).

tff(f36926,plain,
    comm_semiring_1(real),
    inference(cnf_transformation,[],[f9449]) ).

tff(f9449,axiom,
    comm_semiring_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1_194) ).

tff(f36925,plain,
    comm_semiring_1(int),
    inference(cnf_transformation,[],[f9191]) ).

tff(f9191,axiom,
    comm_semiring_1(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1) ).

tff(f36924,plain,
    comm_semiring_1(complex),
    inference(cnf_transformation,[],[f9552]) ).

tff(f9552,axiom,
    comm_semiring_1(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1_290) ).

tff(f36923,plain,
    comm_semiring_1(code_integer),
    inference(cnf_transformation,[],[f9721]) ).

tff(f9721,axiom,
    comm_semiring_1(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1_458) ).

tff(f36922,plain,
    comm_semiring_1(extended_enat),
    inference(cnf_transformation,[],[f9614]) ).

tff(f9614,axiom,
    comm_semiring_1(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__1_351) ).

tff(f36921,plain,
    semiring_char_0(nat),
    inference(cnf_transformation,[],[f9306]) ).

tff(f9306,axiom,
    semiring_char_0(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osemiring__char__0_78) ).

tff(f36920,plain,
    semiring_char_0(real),
    inference(cnf_transformation,[],[f9460]) ).

tff(f9460,axiom,
    semiring_char_0(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Osemiring__char__0_202) ).

tff(f36919,plain,
    semiring_char_0(int),
    inference(cnf_transformation,[],[f9200]) ).

tff(f9200,axiom,
    semiring_char_0(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Osemiring__char__0) ).

tff(f36918,plain,
    semiring_char_0(complex),
    inference(cnf_transformation,[],[f9561]) ).

tff(f9561,axiom,
    semiring_char_0(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Osemiring__char__0_299) ).

tff(f36917,plain,
    semiring_char_0(code_integer),
    inference(cnf_transformation,[],[f9730]) ).

tff(f9730,axiom,
    semiring_char_0(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Osemiring__char__0_467) ).

tff(f36916,plain,
    semiring_char_0(extended_enat),
    inference(cnf_transformation,[],[f9624]) ).

tff(f9624,axiom,
    semiring_char_0(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Nat_Osemiring__char__0_361) ).

tff(f36915,plain,
    numeral(nat),
    inference(cnf_transformation,[],[f9322]) ).

tff(f9322,axiom,
    numeral(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Onumeral_94) ).

tff(f36914,plain,
    numeral(real),
    inference(cnf_transformation,[],[f9492]) ).

tff(f9492,axiom,
    numeral(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Onumeral_230) ).

tff(f36913,plain,
    numeral(int),
    inference(cnf_transformation,[],[f9231]) ).

tff(f9231,axiom,
    numeral(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Onumeral) ).

tff(f36912,plain,
    numeral(complex),
    inference(cnf_transformation,[],[f9583]) ).

tff(f9583,axiom,
    numeral(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Onumeral_321) ).

tff(f36911,plain,
    numeral(code_integer),
    inference(cnf_transformation,[],[f9757]) ).

tff(f9757,axiom,
    numeral(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Onumeral_494) ).

tff(f36910,plain,
    numeral(extended_enat),
    inference(cnf_transformation,[],[f9638]) ).

tff(f9638,axiom,
    numeral(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Onumeral_375) ).

tff(f36909,plain,
    power(nat),
    inference(cnf_transformation,[],[f9321]) ).

tff(f9321,axiom,
    power(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Power_Opower_93) ).

tff(f36908,plain,
    power(real),
    inference(cnf_transformation,[],[f9491]) ).

tff(f9491,axiom,
    power(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Power_Opower_229) ).

tff(f36907,plain,
    power(int),
    inference(cnf_transformation,[],[f9230]) ).

tff(f9230,axiom,
    power(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Power_Opower) ).

tff(f36906,plain,
    power(complex),
    inference(cnf_transformation,[],[f9582]) ).

tff(f9582,axiom,
    power(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Power_Opower_320) ).

tff(f36905,plain,
    power(code_integer),
    inference(cnf_transformation,[],[f9756]) ).

tff(f9756,axiom,
    power(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Power_Opower_493) ).

tff(f36904,plain,
    power(extended_enat),
    inference(cnf_transformation,[],[f9637]) ).

tff(f9637,axiom,
    power(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Power_Opower_374) ).

tff(f36903,plain,
    order_top(bool),
    inference(cnf_transformation,[],[f9363]) ).

tff(f9363,axiom,
    order_top(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__top_134) ).

tff(f36902,plain,
    order_top(extended_enat),
    inference(cnf_transformation,[],[f9622]) ).

tff(f9622,axiom,
    order_top(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__top_359) ).

tff(f36901,plain,
    order_top(product_unit),
    inference(cnf_transformation,[],[f9658]) ).

tff(f9658,axiom,
    order_top(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__top_395) ).

tff(f36900,plain,
    dvd(nat),
    inference(cnf_transformation,[],[f9326]) ).

tff(f9326,axiom,
    dvd(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Odvd_98) ).

tff(f36899,plain,
    dvd(real),
    inference(cnf_transformation,[],[f9498]) ).

tff(f9498,axiom,
    dvd(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Odvd_236) ).

tff(f36898,plain,
    dvd(int),
    inference(cnf_transformation,[],[f9237]) ).

tff(f9237,axiom,
    dvd(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Odvd) ).

tff(f36897,plain,
    dvd(complex),
    inference(cnf_transformation,[],[f9589]) ).

tff(f9589,axiom,
    dvd(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Odvd_327) ).

tff(f36896,plain,
    dvd(code_integer),
    inference(cnf_transformation,[],[f9763]) ).

tff(f9763,axiom,
    dvd(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Odvd_500) ).

tff(f36895,plain,
    dvd(extended_enat),
    inference(cnf_transformation,[],[f9642]) ).

tff(f9642,axiom,
    dvd(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Odvd_379) ).

tff(f36894,plain,
    semiring_0(nat),
    inference(cnf_transformation,[],[f9313]) ).

tff(f9313,axiom,
    semiring_0(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__0_85) ).

tff(f36893,plain,
    semiring_numeral(nat),
    inference(cnf_transformation,[],[f9300]) ).

tff(f9300,axiom,
    semiring_numeral(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Osemiring__numeral_73) ).

tff(f36892,plain,
    semiring_0(real),
    inference(cnf_transformation,[],[f9474]) ).

tff(f9474,axiom,
    semiring_0(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__0_214) ).

tff(f36891,plain,
    semiring_numeral(real),
    inference(cnf_transformation,[],[f9454]) ).

tff(f9454,axiom,
    semiring_numeral(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Osemiring__numeral_198) ).

tff(f36890,plain,
    semiring_0(int),
    inference(cnf_transformation,[],[f9214]) ).

tff(f9214,axiom,
    semiring_0(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__0) ).

tff(f36889,plain,
    semiring_numeral(int),
    inference(cnf_transformation,[],[f9196]) ).

tff(f9196,axiom,
    semiring_numeral(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Osemiring__numeral) ).

tff(f36888,plain,
    semiring_0(complex),
    inference(cnf_transformation,[],[f9571]) ).

tff(f9571,axiom,
    semiring_0(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__0_309) ).

tff(f36887,plain,
    semiring_numeral(complex),
    inference(cnf_transformation,[],[f9556]) ).

tff(f9556,axiom,
    semiring_numeral(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Osemiring__numeral_294) ).

tff(f36886,plain,
    semiring_numeral(code_integer),
    inference(cnf_transformation,[],[f9726]) ).

tff(f9726,axiom,
    semiring_numeral(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Osemiring__numeral_463) ).

tff(f36885,plain,
    semiring_0(code_integer),
    inference(cnf_transformation,[],[f9744]) ).

tff(f9744,axiom,
    semiring_0(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__0_481) ).

tff(f36884,plain,
    semiring_numeral(extended_enat),
    inference(cnf_transformation,[],[f9617]) ).

tff(f9617,axiom,
    semiring_numeral(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Osemiring__numeral_354) ).

tff(f36883,plain,
    semiring_0(extended_enat),
    inference(cnf_transformation,[],[f9631]) ).

tff(f9631,axiom,
    semiring_0(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__0_368) ).

tff(f36882,plain,
    monoid_add(nat),
    inference(cnf_transformation,[],[f9311]) ).

tff(f9311,axiom,
    monoid_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__add_83) ).

tff(f36881,plain,
    monoid_add(real),
    inference(cnf_transformation,[],[f9472]) ).

tff(f9472,axiom,
    monoid_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__add_212) ).

tff(f36880,plain,
    monoid_add(int),
    inference(cnf_transformation,[],[f9212]) ).

tff(f9212,axiom,
    monoid_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__add) ).

tff(f36879,plain,
    monoid_add(complex),
    inference(cnf_transformation,[],[f9569]) ).

tff(f9569,axiom,
    monoid_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__add_307) ).

tff(f36878,plain,
    monoid_add(code_integer),
    inference(cnf_transformation,[],[f9742]) ).

tff(f9742,axiom,
    monoid_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__add_479) ).

tff(f36877,plain,
    monoid_add(extended_enat),
    inference(cnf_transformation,[],[f9629]) ).

tff(f9629,axiom,
    monoid_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__add_366) ).

tff(f36876,plain,
    semiring(nat),
    inference(cnf_transformation,[],[f9319]) ).

tff(f9319,axiom,
    semiring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring_91) ).

tff(f36875,plain,
    ab_semigroup_mult(nat),
    inference(cnf_transformation,[],[f9285]) ).

tff(f9285,axiom,
    ab_semigroup_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__mult_59) ).

tff(f36874,plain,
    ab_semigroup_mult(real),
    inference(cnf_transformation,[],[f9439]) ).

tff(f9439,axiom,
    ab_semigroup_mult(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__mult_185) ).

tff(f36873,plain,
    semiring(real),
    inference(cnf_transformation,[],[f9484]) ).

tff(f9484,axiom,
    semiring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring_224) ).

tff(f36872,plain,
    semiring(int),
    inference(cnf_transformation,[],[f9225]) ).

tff(f9225,axiom,
    semiring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring) ).

tff(f36871,plain,
    ab_semigroup_mult(int),
    inference(cnf_transformation,[],[f9179]) ).

tff(f9179,axiom,
    ab_semigroup_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__mult) ).

tff(f36870,plain,
    ab_semigroup_mult(complex),
    inference(cnf_transformation,[],[f9547]) ).

tff(f9547,axiom,
    ab_semigroup_mult(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__mult_285) ).

tff(f36869,plain,
    semiring(complex),
    inference(cnf_transformation,[],[f9577]) ).

tff(f9577,axiom,
    semiring(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring_315) ).

tff(f36868,plain,
    semiring(code_integer),
    inference(cnf_transformation,[],[f9751]) ).

tff(f9751,axiom,
    semiring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring_488) ).

tff(f36867,plain,
    ab_semigroup_mult(code_integer),
    inference(cnf_transformation,[],[f9709]) ).

tff(f9709,axiom,
    ab_semigroup_mult(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__mult_446) ).

tff(f36866,plain,
    semiring(extended_enat),
    inference(cnf_transformation,[],[f9635]) ).

tff(f9635,axiom,
    semiring(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring_372) ).

tff(f36865,plain,
    ab_semigroup_mult(extended_enat),
    inference(cnf_transformation,[],[f9609]) ).

tff(f9609,axiom,
    ab_semigroup_mult(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__mult_346) ).

tff(f36864,plain,
    zero_neq_one(nat),
    inference(cnf_transformation,[],[f9307]) ).

tff(f9307,axiom,
    zero_neq_one(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__neq__one_79) ).

tff(f36863,plain,
    zero_neq_one(real),
    inference(cnf_transformation,[],[f9463]) ).

tff(f9463,axiom,
    zero_neq_one(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__neq__one_204) ).

tff(f36862,plain,
    zero_neq_one(int),
    inference(cnf_transformation,[],[f9202]) ).

tff(f9202,axiom,
    zero_neq_one(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__neq__one) ).

tff(f36861,plain,
    zero_neq_one(complex),
    inference(cnf_transformation,[],[f9564]) ).

tff(f9564,axiom,
    zero_neq_one(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ozero__neq__one_302) ).

tff(f36860,plain,
    zero_neq_one(code_integer),
    inference(cnf_transformation,[],[f9732]) ).

tff(f9732,axiom,
    zero_neq_one(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__neq__one_469) ).

tff(f36859,plain,
    zero_neq_one(extended_enat),
    inference(cnf_transformation,[],[f9625]) ).

tff(f9625,axiom,
    zero_neq_one(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__neq__one_362) ).

tff(f36858,plain,
    mult_zero(nat),
    inference(cnf_transformation,[],[f9317]) ).

tff(f9317,axiom,
    mult_zero(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Omult__zero_89) ).

tff(f36857,plain,
    comm_semiring_0(nat),
    inference(cnf_transformation,[],[f9296]) ).

tff(f9296,axiom,
    comm_semiring_0(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__0_69) ).

tff(f36856,plain,
    semiri3467727345109120633visors(nat),
    inference(cnf_transformation,[],[f9268]) ).

tff(f9268,axiom,
    semiri3467727345109120633visors(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors_42) ).

tff(f36855,plain,
    mult_zero(real),
    inference(cnf_transformation,[],[f9479]) ).

tff(f9479,axiom,
    mult_zero(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Omult__zero_219) ).

tff(f36854,plain,
    comm_semiring_0(real),
    inference(cnf_transformation,[],[f9450]) ).

tff(f9450,axiom,
    comm_semiring_0(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__0_195) ).

tff(f36853,plain,
    semiri3467727345109120633visors(real),
    inference(cnf_transformation,[],[f9409]) ).

tff(f9409,axiom,
    semiri3467727345109120633visors(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors_164) ).

tff(f36852,plain,
    mult_zero(int),
    inference(cnf_transformation,[],[f9220]) ).

tff(f9220,axiom,
    mult_zero(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Omult__zero) ).

tff(f36851,plain,
    comm_semiring_0(int),
    inference(cnf_transformation,[],[f9192]) ).

tff(f9192,axiom,
    comm_semiring_0(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__0) ).

tff(f36850,plain,
    semiri3467727345109120633visors(int),
    inference(cnf_transformation,[],[f9156]) ).

tff(f9156,axiom,
    semiri3467727345109120633visors(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors) ).

tff(f36849,plain,
    mult_zero(complex),
    inference(cnf_transformation,[],[f9573]) ).

tff(f9573,axiom,
    mult_zero(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Omult__zero_311) ).

tff(f36848,plain,
    semiri3467727345109120633visors(complex),
    inference(cnf_transformation,[],[f9532]) ).

tff(f9532,axiom,
    semiri3467727345109120633visors(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors_270) ).

tff(f36847,plain,
    comm_semiring_0(complex),
    inference(cnf_transformation,[],[f9553]) ).

tff(f9553,axiom,
    comm_semiring_0(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__0_291) ).

tff(f36846,plain,
    comm_semiring_0(code_integer),
    inference(cnf_transformation,[],[f9722]) ).

tff(f9722,axiom,
    comm_semiring_0(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__0_459) ).

tff(f36845,plain,
    semiri3467727345109120633visors(code_integer),
    inference(cnf_transformation,[],[f9691]) ).

tff(f9691,axiom,
    semiri3467727345109120633visors(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors_428) ).

tff(f36844,plain,
    mult_zero(code_integer),
    inference(cnf_transformation,[],[f9746]) ).

tff(f9746,axiom,
    mult_zero(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Omult__zero_483) ).

tff(f36843,plain,
    comm_semiring_0(extended_enat),
    inference(cnf_transformation,[],[f9615]) ).

tff(f9615,axiom,
    comm_semiring_0(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__0_352) ).

tff(f36842,plain,
    mult_zero(extended_enat),
    inference(cnf_transformation,[],[f9633]) ).

tff(f9633,axiom,
    mult_zero(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Omult__zero_370) ).

tff(f36841,plain,
    semiri3467727345109120633visors(extended_enat),
    inference(cnf_transformation,[],[f9603]) ).

tff(f9603,axiom,
    semiri3467727345109120633visors(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__no__zero__divisors_340) ).

tff(f36840,plain,
    zero(nat),
    inference(cnf_transformation,[],[f9323]) ).

tff(f9323,axiom,
    zero(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ozero_95) ).

tff(f36839,plain,
    counta3822494911875563373attice(bool),
    inference(cnf_transformation,[],[f9351]) ).

tff(f9351,axiom,
    counta3822494911875563373attice(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Countable__Complete__Lattices_Ocountable__complete__lattice_122) ).

tff(f36838,plain,
    zero(real),
    inference(cnf_transformation,[],[f9493]) ).

tff(f9493,axiom,
    zero(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ozero_231) ).

tff(f36837,plain,
    zero(int),
    inference(cnf_transformation,[],[f9232]) ).

tff(f9232,axiom,
    zero(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ozero) ).

tff(f36836,plain,
    zero(complex),
    inference(cnf_transformation,[],[f9584]) ).

tff(f9584,axiom,
    zero(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ozero_322) ).

tff(f36835,plain,
    zero(code_integer),
    inference(cnf_transformation,[],[f9758]) ).

tff(f9758,axiom,
    zero(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ozero_495) ).

tff(f36834,plain,
    zero(extended_enat),
    inference(cnf_transformation,[],[f9639]) ).

tff(f9639,axiom,
    zero(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ozero_376) ).

tff(f36833,plain,
    counta3822494911875563373attice(extended_enat),
    inference(cnf_transformation,[],[f9592]) ).

tff(f9592,axiom,
    counta3822494911875563373attice(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Countable__Complete__Lattices_Ocountable__complete__lattice_330) ).

tff(f36832,plain,
    counta3822494911875563373attice(product_unit),
    inference(cnf_transformation,[],[f9648]) ).

tff(f9648,axiom,
    counta3822494911875563373attice(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Countable__Complete__Lattices_Ocountable__complete__lattice_385) ).

tff(f36831,plain,
    ab_semigroup_add(nat),
    inference(cnf_transformation,[],[f9290]) ).

tff(f9290,axiom,
    ab_semigroup_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__add_63) ).

tff(f36830,plain,
    bounded_lattice(bool),
    inference(cnf_transformation,[],[f9104]) ).

tff(f9104,axiom,
    bounded_lattice(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice_3) ).

tff(f36829,plain,
    bounde4967611905675639751up_bot(bool),
    inference(cnf_transformation,[],[f9355]) ).

tff(f9355,axiom,
    bounde4967611905675639751up_bot(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__semilattice__sup__bot_126) ).

tff(f36828,plain,
    ab_semigroup_add(real),
    inference(cnf_transformation,[],[f9442]) ).

tff(f9442,axiom,
    ab_semigroup_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__add_188) ).

tff(f36827,plain,
    ab_semigroup_add(int),
    inference(cnf_transformation,[],[f9183]) ).

tff(f9183,axiom,
    ab_semigroup_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__add) ).

tff(f36826,plain,
    ab_semigroup_add(complex),
    inference(cnf_transformation,[],[f9550]) ).

tff(f9550,axiom,
    ab_semigroup_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__add_288) ).

tff(f36825,plain,
    ab_semigroup_add(code_integer),
    inference(cnf_transformation,[],[f9713]) ).

tff(f9713,axiom,
    ab_semigroup_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__add_450) ).

tff(f36824,plain,
    bounded_lattice(extended_enat),
    inference(cnf_transformation,[],[f9102]) ).

tff(f9102,axiom,
    bounded_lattice(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice_1) ).

tff(f36823,plain,
    bounde4967611905675639751up_bot(extended_enat),
    inference(cnf_transformation,[],[f9597]) ).

tff(f9597,axiom,
    bounde4967611905675639751up_bot(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__semilattice__sup__bot_335) ).

tff(f36822,plain,
    ab_semigroup_add(extended_enat),
    inference(cnf_transformation,[],[f9611]) ).

tff(f9611,axiom,
    ab_semigroup_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__add_348) ).

tff(f36821,plain,
    bounde4967611905675639751up_bot(product_unit),
    inference(cnf_transformation,[],[f9650]) ).

tff(f9650,axiom,
    bounde4967611905675639751up_bot(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__semilattice__sup__bot_387) ).

tff(f36820,plain,
    bounded_lattice(product_unit),
    inference(cnf_transformation,[],[f9101]) ).

tff(f9101,axiom,
    bounded_lattice(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice) ).

tff(f36813,plain,
    comm_semiring(nat),
    inference(cnf_transformation,[],[f9303]) ).

tff(f9303,axiom,
    comm_semiring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring_76) ).

tff(f36812,plain,
    semigroup_mult(nat),
    inference(cnf_transformation,[],[f9297]) ).

tff(f9297,axiom,
    semigroup_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__mult_70) ).

tff(f36811,plain,
    semigroup_add(nat),
    inference(cnf_transformation,[],[f9301]) ).

tff(f9301,axiom,
    semigroup_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__add_74) ).

tff(f36810,plain,
    semigroup_add(real),
    inference(cnf_transformation,[],[f9455]) ).

tff(f9455,axiom,
    semigroup_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__add_199) ).

tff(f36809,plain,
    semigroup_mult(real),
    inference(cnf_transformation,[],[f9452]) ).

tff(f9452,axiom,
    semigroup_mult(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__mult_196) ).

tff(f36808,plain,
    comm_semiring(real),
    inference(cnf_transformation,[],[f9459]) ).

tff(f9459,axiom,
    comm_semiring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring_201) ).

tff(f36807,plain,
    semigroup_add(int),
    inference(cnf_transformation,[],[f9197]) ).

tff(f9197,axiom,
    semigroup_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__add) ).

tff(f36806,plain,
    semigroup_mult(int),
    inference(cnf_transformation,[],[f9193]) ).

tff(f9193,axiom,
    semigroup_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__mult) ).

tff(f36805,plain,
    comm_semiring(int),
    inference(cnf_transformation,[],[f9199]) ).

tff(f9199,axiom,
    comm_semiring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring) ).

tff(f36804,plain,
    semigroup_add(complex),
    inference(cnf_transformation,[],[f9557]) ).

tff(f9557,axiom,
    semigroup_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__add_295) ).

tff(f36803,plain,
    comm_semiring(complex),
    inference(cnf_transformation,[],[f9560]) ).

tff(f9560,axiom,
    comm_semiring(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring_298) ).

tff(f36802,plain,
    semigroup_mult(complex),
    inference(cnf_transformation,[],[f9554]) ).

tff(f9554,axiom,
    semigroup_mult(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__mult_292) ).

tff(f36801,plain,
    semigroup_add(code_integer),
    inference(cnf_transformation,[],[f9727]) ).

tff(f9727,axiom,
    semigroup_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__add_464) ).

tff(f36800,plain,
    semigroup_mult(code_integer),
    inference(cnf_transformation,[],[f9723]) ).

tff(f9723,axiom,
    semigroup_mult(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__mult_460) ).

tff(f36799,plain,
    comm_semiring(code_integer),
    inference(cnf_transformation,[],[f9729]) ).

tff(f9729,axiom,
    comm_semiring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring_466) ).

tff(f36798,plain,
    semigroup_mult(extended_enat),
    inference(cnf_transformation,[],[f9616]) ).

tff(f9616,axiom,
    semigroup_mult(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__mult_353) ).

tff(f36797,plain,
    semigroup_add(extended_enat),
    inference(cnf_transformation,[],[f9618]) ).

tff(f9618,axiom,
    semigroup_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__add_355) ).

tff(f36796,plain,
    comm_semiring(extended_enat),
    inference(cnf_transformation,[],[f9620]) ).

tff(f9620,axiom,
    comm_semiring(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring_357) ).

tff(f36795,plain,
    linord181362715937106298miring(nat),
    inference(cnf_transformation,[],[f9265]) ).

tff(f9265,axiom,
    linord181362715937106298miring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring_39) ).

tff(f36794,plain,
    linord181362715937106298miring(real),
    inference(cnf_transformation,[],[f9403]) ).

tff(f9403,axiom,
    linord181362715937106298miring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__nonzero__semiring_161) ).

tff(f36793,plain,
    linord181362715937106298miring(int),
    inference(cnf_transformation,[],[f9152]) ).

tff(f9152,axiom,
    linord181362715937106298miring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__nonzero__semiring) ).

tff(f36792,plain,
    linord181362715937106298miring(code_integer),
    inference(cnf_transformation,[],[f9688]) ).

tff(f9688,axiom,
    linord181362715937106298miring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__nonzero__semiring_425) ).

tff(f36791,plain,
    linord181362715937106298miring(extended_enat),
    inference(cnf_transformation,[],[f9602]) ).

tff(f9602,axiom,
    linord181362715937106298miring(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Olinordered__nonzero__semiring_339) ).

tff(f36790,plain,
    ordere6911136660526730532id_add(nat),
    inference(cnf_transformation,[],[f9271]) ).

tff(f9271,axiom,
    ordere6911136660526730532id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__comm__monoid__add_45) ).

tff(f36789,plain,
    ordere6911136660526730532id_add(real),
    inference(cnf_transformation,[],[f9417]) ).

tff(f9417,axiom,
    ordere6911136660526730532id_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__comm__monoid__add_167) ).

tff(f36788,plain,
    ordere6911136660526730532id_add(int),
    inference(cnf_transformation,[],[f9160]) ).

tff(f9160,axiom,
    ordere6911136660526730532id_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__comm__monoid__add) ).

tff(f36787,plain,
    ordere6911136660526730532id_add(code_integer),
    inference(cnf_transformation,[],[f9694]) ).

tff(f9694,axiom,
    ordere6911136660526730532id_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__comm__monoid__add_431) ).

tff(f36786,plain,
    ordere6911136660526730532id_add(extended_enat),
    inference(cnf_transformation,[],[f9605]) ).

tff(f9605,axiom,
    ordere6911136660526730532id_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__comm__monoid__add_342) ).

tff(f36785,plain,
    condit6923001295902523014norder(nat),
    inference(cnf_transformation,[],[f9238]) ).

tff(f9238,axiom,
    condit6923001295902523014norder(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_14) ).

tff(f36784,plain,
    condit6923001295902523014norder(real),
    inference(cnf_transformation,[],[f9372]) ).

tff(f9372,axiom,
    condit6923001295902523014norder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_143) ).

tff(f36783,plain,
    condit6923001295902523014norder(int),
    inference(cnf_transformation,[],[f9123]) ).

tff(f9123,axiom,
    condit6923001295902523014norder(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__linorder) ).

tff(f36782,plain,
    condit6923001295902523014norder(extended_enat),
    inference(cnf_transformation,[],[f9590]) ).

tff(f9590,axiom,
    condit6923001295902523014norder(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_328) ).

tff(f36781,plain,
    condit6923001295902523014norder(product_unit),
    inference(cnf_transformation,[],[f9646]) ).

tff(f9646,axiom,
    condit6923001295902523014norder(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_383) ).

tff(f36780,plain,
    semidom_divide(nat),
    inference(cnf_transformation,[],[f9299]) ).

tff(f9299,axiom,
    semidom_divide(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__divide_72) ).

tff(f36779,plain,
    semidom_divide(real),
    inference(cnf_transformation,[],[f9453]) ).

tff(f9453,axiom,
    semidom_divide(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemidom__divide_197) ).

tff(f36778,plain,
    semidom_divide(int),
    inference(cnf_transformation,[],[f9195]) ).

tff(f9195,axiom,
    semidom_divide(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__divide) ).

tff(f36777,plain,
    semidom_divide(complex),
    inference(cnf_transformation,[],[f9555]) ).

tff(f9555,axiom,
    semidom_divide(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemidom__divide_293) ).

tff(f36776,plain,
    semidom_divide(code_integer),
    inference(cnf_transformation,[],[f9725]) ).

tff(f9725,axiom,
    semidom_divide(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__divide_462) ).

tff(f36775,plain,
    ordere6658533253407199908up_add(nat),
    inference(cnf_transformation,[],[f9269]) ).

tff(f9269,axiom,
    ordere6658533253407199908up_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add_43) ).

tff(f36774,plain,
    cancel_semigroup_add(nat),
    inference(cnf_transformation,[],[f9279]) ).

tff(f9279,axiom,
    cancel_semigroup_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__semigroup__add_53) ).

tff(f36773,plain,
    cancel_semigroup_add(real),
    inference(cnf_transformation,[],[f9431]) ).

tff(f9431,axiom,
    cancel_semigroup_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__semigroup__add_179) ).

tff(f36772,plain,
    ordere6658533253407199908up_add(real),
    inference(cnf_transformation,[],[f9413]) ).

tff(f9413,axiom,
    ordere6658533253407199908up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add_165) ).

tff(f36771,plain,
    cancel_semigroup_add(int),
    inference(cnf_transformation,[],[f9173]) ).

tff(f9173,axiom,
    cancel_semigroup_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__semigroup__add) ).

tff(f36770,plain,
    ordere6658533253407199908up_add(int),
    inference(cnf_transformation,[],[f9157]) ).

tff(f9157,axiom,
    ordere6658533253407199908up_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add) ).

tff(f36769,plain,
    cancel_semigroup_add(complex),
    inference(cnf_transformation,[],[f9545]) ).

tff(f9545,axiom,
    cancel_semigroup_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__semigroup__add_283) ).

tff(f36768,plain,
    ordere6658533253407199908up_add(code_integer),
    inference(cnf_transformation,[],[f9692]) ).

tff(f9692,axiom,
    ordere6658533253407199908up_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add_429) ).

tff(f36767,plain,
    cancel_semigroup_add(code_integer),
    inference(cnf_transformation,[],[f9705]) ).

tff(f9705,axiom,
    cancel_semigroup_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__semigroup__add_442) ).

tff(f36766,plain,
    ordere6658533253407199908up_add(extended_enat),
    inference(cnf_transformation,[],[f9604]) ).

tff(f9604,axiom,
    ordere6658533253407199908up_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__ab__semigroup__add_341) ).

tff(f36765,plain,
    comm_s4317794764714335236cancel(nat),
    inference(cnf_transformation,[],[f9275]) ).

tff(f9275,axiom,
    comm_s4317794764714335236cancel(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1__cancel_49) ).

tff(f36764,plain,
    comm_s4317794764714335236cancel(real),
    inference(cnf_transformation,[],[f9425]) ).

tff(f9425,axiom,
    comm_s4317794764714335236cancel(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1__cancel_174) ).

tff(f36763,plain,
    comm_s4317794764714335236cancel(int),
    inference(cnf_transformation,[],[f9167]) ).

tff(f9167,axiom,
    comm_s4317794764714335236cancel(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1__cancel) ).

tff(f36762,plain,
    comm_s4317794764714335236cancel(complex),
    inference(cnf_transformation,[],[f9542]) ).

tff(f9542,axiom,
    comm_s4317794764714335236cancel(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1__cancel_280) ).

tff(f36761,plain,
    comm_s4317794764714335236cancel(code_integer),
    inference(cnf_transformation,[],[f9700]) ).

tff(f9700,axiom,
    comm_s4317794764714335236cancel(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1__cancel_437) ).

tff(f36760,plain,
    cancel1802427076303600483id_add(nat),
    inference(cnf_transformation,[],[f9274]) ).

tff(f9274,axiom,
    cancel1802427076303600483id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__comm__monoid__add_48) ).

tff(f36759,plain,
    cancel1802427076303600483id_add(real),
    inference(cnf_transformation,[],[f9423]) ).

tff(f9423,axiom,
    cancel1802427076303600483id_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add_172) ).

tff(f36758,plain,
    cancel1802427076303600483id_add(int),
    inference(cnf_transformation,[],[f9165]) ).

tff(f9165,axiom,
    cancel1802427076303600483id_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__comm__monoid__add) ).

tff(f36757,plain,
    cancel1802427076303600483id_add(complex),
    inference(cnf_transformation,[],[f9541]) ).

tff(f9541,axiom,
    cancel1802427076303600483id_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__comm__monoid__add_279) ).

tff(f36756,plain,
    cancel1802427076303600483id_add(code_integer),
    inference(cnf_transformation,[],[f9698]) ).

tff(f9698,axiom,
    cancel1802427076303600483id_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__comm__monoid__add_435) ).

tff(f36755,plain,
    ordered_semiring(nat),
    inference(cnf_transformation,[],[f9291]) ).

tff(f9291,axiom,
    ordered_semiring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring_64) ).

tff(f36754,plain,
    cancel2418104881723323429up_add(nat),
    inference(cnf_transformation,[],[f9272]) ).

tff(f9272,axiom,
    cancel2418104881723323429up_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__ab__semigroup__add_46) ).

tff(f36753,plain,
    ordered_semiring(real),
    inference(cnf_transformation,[],[f9444]) ).

tff(f9444,axiom,
    ordered_semiring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring_189) ).

tff(f36752,plain,
    cancel2418104881723323429up_add(real),
    inference(cnf_transformation,[],[f9419]) ).

tff(f9419,axiom,
    cancel2418104881723323429up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add_169) ).

tff(f36751,plain,
    ordered_semiring(int),
    inference(cnf_transformation,[],[f9184]) ).

tff(f9184,axiom,
    ordered_semiring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring) ).

tff(f36750,plain,
    cancel2418104881723323429up_add(int),
    inference(cnf_transformation,[],[f9162]) ).

tff(f9162,axiom,
    cancel2418104881723323429up_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__ab__semigroup__add) ).

tff(f36749,plain,
    cancel2418104881723323429up_add(complex),
    inference(cnf_transformation,[],[f9537]) ).

tff(f9537,axiom,
    cancel2418104881723323429up_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__ab__semigroup__add_275) ).

tff(f36748,plain,
    ordered_semiring(code_integer),
    inference(cnf_transformation,[],[f9714]) ).

tff(f9714,axiom,
    ordered_semiring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring_451) ).

tff(f36747,plain,
    cancel2418104881723323429up_add(code_integer),
    inference(cnf_transformation,[],[f9696]) ).

tff(f9696,axiom,
    cancel2418104881723323429up_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__ab__semigroup__add_433) ).

tff(f36746,plain,
    ordered_semiring(extended_enat),
    inference(cnf_transformation,[],[f9612]) ).

tff(f9612,axiom,
    ordered_semiring(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__semiring_349) ).

tff(f36745,plain,
    semiri1453513574482234551roduct(nat),
    inference(cnf_transformation,[],[f9241]) ).

tff(f9241,axiom,
    semiri1453513574482234551roduct(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_17) ).

tff(f36744,plain,
    semiri6575147826004484403cancel(nat),
    inference(cnf_transformation,[],[f9247]) ).

tff(f9247,axiom,
    semiri6575147826004484403cancel(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors__cancel_23) ).

tff(f36743,plain,
    semiri6575147826004484403cancel(real),
    inference(cnf_transformation,[],[f9381]) ).

tff(f9381,axiom,
    semiri6575147826004484403cancel(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors__cancel_147) ).

tff(f36742,plain,
    semiri1453513574482234551roduct(real),
    inference(cnf_transformation,[],[f9374]) ).

tff(f9374,axiom,
    semiri1453513574482234551roduct(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_145) ).

tff(f36741,plain,
    semiri6575147826004484403cancel(int),
    inference(cnf_transformation,[],[f9134]) ).

tff(f9134,axiom,
    semiri6575147826004484403cancel(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors__cancel) ).

tff(f36740,plain,
    semiri1453513574482234551roduct(int),
    inference(cnf_transformation,[],[f9126]) ).

tff(f9126,axiom,
    semiri1453513574482234551roduct(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

tff(f36739,plain,
    semiri1453513574482234551roduct(complex),
    inference(cnf_transformation,[],[f9515]) ).

tff(f9515,axiom,
    semiri1453513574482234551roduct(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_253) ).

tff(f36738,plain,
    semiri6575147826004484403cancel(complex),
    inference(cnf_transformation,[],[f9519]) ).

tff(f9519,axiom,
    semiri6575147826004484403cancel(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors__cancel_257) ).

tff(f36737,plain,
    semiri1453513574482234551roduct(code_integer),
    inference(cnf_transformation,[],[f9667]) ).

tff(f9667,axiom,
    semiri1453513574482234551roduct(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_404) ).

tff(f36736,plain,
    semiri6575147826004484403cancel(code_integer),
    inference(cnf_transformation,[],[f9675]) ).

tff(f9675,axiom,
    semiri6575147826004484403cancel(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors__cancel_412) ).

tff(f36735,plain,
    linord4140545234300271783up_add(nat),
    inference(cnf_transformation,[],[f9262]) ).

tff(f9262,axiom,
    linord4140545234300271783up_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Olinordered__ab__semigroup__add_36) ).

tff(f36734,plain,
    semiri2026040879449505780visors(nat),
    inference(cnf_transformation,[],[f9264]) ).

tff(f9264,axiom,
    semiri2026040879449505780visors(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__no__zero__divisors_38) ).

tff(f36733,plain,
    comple592849572758109894attice(bool),
    inference(cnf_transformation,[],[f9352]) ).

tff(f9352,axiom,
    comple592849572758109894attice(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__distrib__lattice_123) ).

tff(f36732,plain,
    semiri2026040879449505780visors(real),
    inference(cnf_transformation,[],[f9402]) ).

tff(f9402,axiom,
    semiri2026040879449505780visors(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__no__zero__divisors_160) ).

tff(f36731,plain,
    linord4140545234300271783up_add(real),
    inference(cnf_transformation,[],[f9400]) ).

tff(f9400,axiom,
    linord4140545234300271783up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__semigroup__add_158) ).

tff(f36730,plain,
    semiri2026040879449505780visors(int),
    inference(cnf_transformation,[],[f9151]) ).

tff(f9151,axiom,
    semiri2026040879449505780visors(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__no__zero__divisors) ).

tff(f36729,plain,
    linord4140545234300271783up_add(int),
    inference(cnf_transformation,[],[f9148]) ).

tff(f9148,axiom,
    linord4140545234300271783up_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__semigroup__add) ).

tff(f36728,plain,
    semiri2026040879449505780visors(complex),
    inference(cnf_transformation,[],[f9527]) ).

tff(f9527,axiom,
    semiri2026040879449505780visors(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__no__zero__divisors_265) ).

tff(f36727,plain,
    semiri2026040879449505780visors(code_integer),
    inference(cnf_transformation,[],[f9687]) ).

tff(f9687,axiom,
    semiri2026040879449505780visors(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__no__zero__divisors_424) ).

tff(f36726,plain,
    linord4140545234300271783up_add(code_integer),
    inference(cnf_transformation,[],[f9685]) ).

tff(f9685,axiom,
    linord4140545234300271783up_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__semigroup__add_422) ).

tff(f36725,plain,
    linord4140545234300271783up_add(extended_enat),
    inference(cnf_transformation,[],[f9600]) ).

tff(f9600,axiom,
    linord4140545234300271783up_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Olinordered__ab__semigroup__add_337) ).

tff(f36724,plain,
    comple592849572758109894attice(extended_enat),
    inference(cnf_transformation,[],[f9593]) ).

tff(f9593,axiom,
    comple592849572758109894attice(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__distrib__lattice_331) ).

tff(f36723,plain,
    comple592849572758109894attice(product_unit),
    inference(cnf_transformation,[],[f9649]) ).

tff(f9649,axiom,
    comple592849572758109894attice(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__distrib__lattice_386) ).

tff(f36722,plain,
    strict9044650504122735259up_add(nat),
    inference(cnf_transformation,[],[f9248]) ).

tff(f9248,axiom,
    strict9044650504122735259up_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__ab__semigroup__add_24) ).

tff(f36721,plain,
    strict7427464778891057005id_add(nat),
    inference(cnf_transformation,[],[f9254]) ).

tff(f9254,axiom,
    strict7427464778891057005id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__comm__monoid__add_29) ).

tff(f36720,plain,
    zero_less_one(nat),
    inference(cnf_transformation,[],[f9302]) ).

tff(f9302,axiom,
    zero_less_one(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__less__one_75) ).

tff(f36719,plain,
    strict7427464778891057005id_add(real),
    inference(cnf_transformation,[],[f9389]) ).

tff(f9389,axiom,
    strict7427464778891057005id_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add_152) ).

tff(f36718,plain,
    zero_less_one(real),
    inference(cnf_transformation,[],[f9458]) ).

tff(f9458,axiom,
    zero_less_one(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__less__one_200) ).

tff(f36717,plain,
    strict9044650504122735259up_add(real),
    inference(cnf_transformation,[],[f9384]) ).

tff(f9384,axiom,
    strict9044650504122735259up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add_148) ).

tff(f36716,plain,
    zero_less_one(int),
    inference(cnf_transformation,[],[f9198]) ).

tff(f9198,axiom,
    zero_less_one(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__less__one) ).

tff(f36715,plain,
    strict9044650504122735259up_add(int),
    inference(cnf_transformation,[],[f9135]) ).

tff(f9135,axiom,
    strict9044650504122735259up_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__ab__semigroup__add) ).

tff(f36714,plain,
    strict7427464778891057005id_add(int),
    inference(cnf_transformation,[],[f9140]) ).

tff(f9140,axiom,
    strict7427464778891057005id_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__comm__monoid__add) ).

tff(f36713,plain,
    zero_less_one(code_integer),
    inference(cnf_transformation,[],[f9728]) ).

tff(f9728,axiom,
    zero_less_one(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__less__one_465) ).

tff(f36712,plain,
    strict9044650504122735259up_add(code_integer),
    inference(cnf_transformation,[],[f9676]) ).

tff(f9676,axiom,
    strict9044650504122735259up_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__ab__semigroup__add_413) ).

tff(f36711,plain,
    strict7427464778891057005id_add(code_integer),
    inference(cnf_transformation,[],[f9681]) ).

tff(f9681,axiom,
    strict7427464778891057005id_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__comm__monoid__add_418) ).

tff(f36710,plain,
    zero_less_one(extended_enat),
    inference(cnf_transformation,[],[f9619]) ).

tff(f9619,axiom,
    zero_less_one(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__less__one_356) ).

tff(f36709,plain,
    strict9044650504122735259up_add(extended_enat),
    inference(cnf_transformation,[],[f9594]) ).

tff(f9594,axiom,
    strict9044650504122735259up_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__ab__semigroup__add_332) ).

tff(f36708,plain,
    strict7427464778891057005id_add(extended_enat),
    inference(cnf_transformation,[],[f9595]) ).

tff(f9595,axiom,
    strict7427464778891057005id_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__comm__monoid__add_333) ).

tff(f36707,plain,
    ordere2520102378445227354miring(nat),
    inference(cnf_transformation,[],[f9278]) ).

tff(f9278,axiom,
    ordere2520102378445227354miring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__comm__semiring_52) ).

tff(f36706,plain,
    semiring_1_cancel(nat),
    inference(cnf_transformation,[],[f9286]) ).

tff(f9286,axiom,
    semiring_1_cancel(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__cancel_60) ).

tff(f36705,plain,
    semiring_1_cancel(real),
    inference(cnf_transformation,[],[f9440]) ).

tff(f9440,axiom,
    semiring_1_cancel(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__cancel_186) ).

tff(f36704,plain,
    ordere2520102378445227354miring(real),
    inference(cnf_transformation,[],[f9428]) ).

tff(f9428,axiom,
    ordere2520102378445227354miring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__comm__semiring_176) ).

tff(f36703,plain,
    ordere2520102378445227354miring(int),
    inference(cnf_transformation,[],[f9170]) ).

tff(f9170,axiom,
    ordere2520102378445227354miring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__comm__semiring) ).

tff(f36702,plain,
    semiring_1_cancel(int),
    inference(cnf_transformation,[],[f9180]) ).

tff(f9180,axiom,
    semiring_1_cancel(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__cancel) ).

tff(f36701,plain,
    semiring_1_cancel(complex),
    inference(cnf_transformation,[],[f9548]) ).

tff(f9548,axiom,
    semiring_1_cancel(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__cancel_286) ).

tff(f36700,plain,
    semiring_1_cancel(code_integer),
    inference(cnf_transformation,[],[f9710]) ).

tff(f9710,axiom,
    semiring_1_cancel(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__cancel_447) ).

tff(f36699,plain,
    ordere2520102378445227354miring(code_integer),
    inference(cnf_transformation,[],[f9702]) ).

tff(f9702,axiom,
    ordere2520102378445227354miring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__comm__semiring_439) ).

tff(f36698,plain,
    ordere2520102378445227354miring(extended_enat),
    inference(cnf_transformation,[],[f9606]) ).

tff(f9606,axiom,
    ordere2520102378445227354miring(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__comm__semiring_343) ).

tff(f36697,plain,
    topolo1944317154257567458pology(nat),
    inference(cnf_transformation,[],[f9259]) ).

tff(f9259,axiom,
    topolo1944317154257567458pology(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Olinorder__topology_33) ).

tff(f36696,plain,
    topolo1944317154257567458pology(bool),
    inference(cnf_transformation,[],[f9354]) ).

tff(f9354,axiom,
    topolo1944317154257567458pology(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Olinorder__topology_125) ).

tff(f36695,plain,
    topolo1944317154257567458pology(real),
    inference(cnf_transformation,[],[f9392]) ).

tff(f9392,axiom,
    topolo1944317154257567458pology(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinorder__topology_155) ).

tff(f36694,plain,
    topolo1944317154257567458pology(int),
    inference(cnf_transformation,[],[f9144]) ).

tff(f9144,axiom,
    topolo1944317154257567458pology(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Olinorder__topology) ).

tff(f36693,plain,
    linordered_semidom(nat),
    inference(cnf_transformation,[],[f9282]) ).

tff(f9282,axiom,
    linordered_semidom(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semidom_56) ).

tff(f36692,plain,
    linordered_semidom(real),
    inference(cnf_transformation,[],[f9435]) ).

tff(f9435,axiom,
    linordered_semidom(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semidom_182) ).

tff(f36691,plain,
    linordered_semidom(int),
    inference(cnf_transformation,[],[f9176]) ).

tff(f9176,axiom,
    linordered_semidom(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semidom) ).

tff(f36690,plain,
    linordered_semidom(code_integer),
    inference(cnf_transformation,[],[f9708]) ).

tff(f9708,axiom,
    linordered_semidom(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semidom_445) ).

tff(f36689,plain,
    ring_1(real),
    inference(cnf_transformation,[],[f9488]) ).

tff(f9488,axiom,
    ring_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1_227) ).

tff(f36688,plain,
    ring_1(int),
    inference(cnf_transformation,[],[f9228]) ).

tff(f9228,axiom,
    ring_1(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1) ).

tff(f36687,plain,
    ring_1(complex),
    inference(cnf_transformation,[],[f9580]) ).

tff(f9580,axiom,
    ring_1(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1_318) ).

tff(f36686,plain,
    ring_1(code_integer),
    inference(cnf_transformation,[],[f9754]) ).

tff(f9754,axiom,
    ring_1(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1_491) ).

tff(f36685,plain,
    neg_numeral(real),
    inference(cnf_transformation,[],[f9482]) ).

tff(f9482,axiom,
    neg_numeral(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Oneg__numeral_222) ).

tff(f36684,plain,
    neg_numeral(int),
    inference(cnf_transformation,[],[f9223]) ).

tff(f9223,axiom,
    neg_numeral(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Oneg__numeral) ).

tff(f36683,plain,
    neg_numeral(complex),
    inference(cnf_transformation,[],[f9575]) ).

tff(f9575,axiom,
    neg_numeral(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Oneg__numeral_313) ).

tff(f36682,plain,
    neg_numeral(code_integer),
    inference(cnf_transformation,[],[f9749]) ).

tff(f9749,axiom,
    neg_numeral(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Oneg__numeral_486) ).

tff(f36681,plain,
    idom(real),
    inference(cnf_transformation,[],[f9496]) ).

tff(f9496,axiom,
    idom(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom_234) ).

tff(f36680,plain,
    idom(int),
    inference(cnf_transformation,[],[f9235]) ).

tff(f9235,axiom,
    idom(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom) ).

tff(f36679,plain,
    idom(complex),
    inference(cnf_transformation,[],[f9587]) ).

tff(f9587,axiom,
    idom(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom_325) ).

tff(f36678,plain,
    idom(code_integer),
    inference(cnf_transformation,[],[f9761]) ).

tff(f9761,axiom,
    idom(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom_498) ).

tff(f36677,plain,
    ab_group_add(real),
    inference(cnf_transformation,[],[f9461]) ).

tff(f9461,axiom,
    ab_group_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__group__add_203) ).

tff(f36676,plain,
    ab_group_add(int),
    inference(cnf_transformation,[],[f9201]) ).

tff(f9201,axiom,
    ab_group_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__group__add) ).

tff(f36675,plain,
    ab_group_add(complex),
    inference(cnf_transformation,[],[f9562]) ).

tff(f9562,axiom,
    ab_group_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__group__add_300) ).

tff(f36674,plain,
    ab_group_add(code_integer),
    inference(cnf_transformation,[],[f9731]) ).

tff(f9731,axiom,
    ab_group_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__group__add_468) ).

tff(f36673,plain,
    topolo2564578578187576103pology(nat),
    inference(cnf_transformation,[],[f9263]) ).

tff(f9263,axiom,
    topolo2564578578187576103pology(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Oorder__topology_37) ).

tff(f36672,plain,
    topolo2564578578187576103pology(bool),
    inference(cnf_transformation,[],[f9358]) ).

tff(f9358,axiom,
    topolo2564578578187576103pology(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Oorder__topology_129) ).

tff(f36671,plain,
    topolo2564578578187576103pology(real),
    inference(cnf_transformation,[],[f9401]) ).

tff(f9401,axiom,
    topolo2564578578187576103pology(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Oorder__topology_159) ).

tff(f36670,plain,
    topolo2564578578187576103pology(int),
    inference(cnf_transformation,[],[f9150]) ).

tff(f9150,axiom,
    topolo2564578578187576103pology(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Oorder__topology) ).

tff(f36669,plain,
    comm_ring(real),
    inference(cnf_transformation,[],[f9480]) ).

tff(f9480,axiom,
    comm_ring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring_220) ).

tff(f36668,plain,
    comm_ring(int),
    inference(cnf_transformation,[],[f9221]) ).

tff(f9221,axiom,
    comm_ring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring) ).

tff(f36667,plain,
    comm_ring(complex),
    inference(cnf_transformation,[],[f9574]) ).

tff(f9574,axiom,
    comm_ring(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring_312) ).

tff(f36666,plain,
    comm_ring(code_integer),
    inference(cnf_transformation,[],[f9747]) ).

tff(f9747,axiom,
    comm_ring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring_484) ).

tff(f36665,plain,
    ring_char_0(real),
    inference(cnf_transformation,[],[f9483]) ).

tff(f9483,axiom,
    ring_char_0(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Oring__char__0_223) ).

tff(f36664,plain,
    ring_char_0(int),
    inference(cnf_transformation,[],[f9224]) ).

tff(f9224,axiom,
    ring_char_0(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Oring__char__0) ).

tff(f36663,plain,
    ring_char_0(complex),
    inference(cnf_transformation,[],[f9576]) ).

tff(f9576,axiom,
    ring_char_0(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Oring__char__0_314) ).

tff(f36662,plain,
    ring_char_0(code_integer),
    inference(cnf_transformation,[],[f9750]) ).

tff(f9750,axiom,
    ring_char_0(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Oring__char__0_487) ).

tff(f36661,plain,
    topolo4211221413907600880p_mult(nat),
    inference(cnf_transformation,[],[f9266]) ).

tff(f9266,axiom,
    topolo4211221413907600880p_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__semigroup__mult_40) ).

tff(f36660,plain,
    topolo4211221413907600880p_mult(real),
    inference(cnf_transformation,[],[f9406]) ).

tff(f9406,axiom,
    topolo4211221413907600880p_mult(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__semigroup__mult_162) ).

tff(f36659,plain,
    group_add(real),
    inference(cnf_transformation,[],[f9478]) ).

tff(f9478,axiom,
    group_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ogroup__add_218) ).

tff(f36658,plain,
    group_add(int),
    inference(cnf_transformation,[],[f9218]) ).

tff(f9218,axiom,
    group_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ogroup__add) ).

tff(f36657,plain,
    topolo4211221413907600880p_mult(int),
    inference(cnf_transformation,[],[f9153]) ).

tff(f9153,axiom,
    topolo4211221413907600880p_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__semigroup__mult) ).

tff(f36656,plain,
    topolo4211221413907600880p_mult(complex),
    inference(cnf_transformation,[],[f9530]) ).

tff(f9530,axiom,
    topolo4211221413907600880p_mult(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__semigroup__mult_268) ).

tff(f36655,plain,
    group_add(complex),
    inference(cnf_transformation,[],[f9572]) ).

tff(f9572,axiom,
    group_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ogroup__add_310) ).

tff(f36654,plain,
    group_add(code_integer),
    inference(cnf_transformation,[],[f9745]) ).

tff(f9745,axiom,
    group_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ogroup__add_482) ).

tff(f36653,plain,
    comm_ring_1(real),
    inference(cnf_transformation,[],[f9471]) ).

tff(f9471,axiom,
    comm_ring_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring__1_211) ).

tff(f36652,plain,
    comm_ring_1(int),
    inference(cnf_transformation,[],[f9211]) ).

tff(f9211,axiom,
    comm_ring_1(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring__1) ).

tff(f36651,plain,
    comm_ring_1(complex),
    inference(cnf_transformation,[],[f9568]) ).

tff(f9568,axiom,
    comm_ring_1(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring__1_306) ).

tff(f36650,plain,
    comm_ring_1(code_integer),
    inference(cnf_transformation,[],[f9741]) ).

tff(f9741,axiom,
    comm_ring_1(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring__1_478) ).

tff(f36649,plain,
    ring(real),
    inference(cnf_transformation,[],[f9495]) ).

tff(f9495,axiom,
    ring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring_233) ).

tff(f36648,plain,
    ring(int),
    inference(cnf_transformation,[],[f9234]) ).

tff(f9234,axiom,
    ring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring) ).

tff(f36647,plain,
    ring(complex),
    inference(cnf_transformation,[],[f9586]) ).

tff(f9586,axiom,
    ring(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring_324) ).

tff(f36646,plain,
    ring(code_integer),
    inference(cnf_transformation,[],[f9760]) ).

tff(f9760,axiom,
    ring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring_497) ).

tff(f36645,plain,
    linord8928482502909563296strict(nat),
    inference(cnf_transformation,[],[f9267]) ).

tff(f9267,axiom,
    linord8928482502909563296strict(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring__strict_41) ).

tff(f36644,plain,
    boolea8198339166811842893lgebra(bool),
    inference(cnf_transformation,[],[f9359]) ).

tff(f9359,axiom,
    boolea8198339166811842893lgebra(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Boolean__Algebras_Oboolean__algebra_130) ).

tff(f36643,plain,
    linord8928482502909563296strict(real),
    inference(cnf_transformation,[],[f9408]) ).

tff(f9408,axiom,
    linord8928482502909563296strict(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__strict_163) ).

tff(f36642,plain,
    linord8928482502909563296strict(int),
    inference(cnf_transformation,[],[f9155]) ).

tff(f9155,axiom,
    linord8928482502909563296strict(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__strict) ).

tff(f36641,plain,
    linord8928482502909563296strict(code_integer),
    inference(cnf_transformation,[],[f9690]) ).

tff(f9690,axiom,
    linord8928482502909563296strict(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__strict_427) ).

tff(f36640,plain,
    boolea8198339166811842893lgebra(product_unit),
    inference(cnf_transformation,[],[f9654]) ).

tff(f9654,axiom,
    boolea8198339166811842893lgebra(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Boolean__Algebras_Oboolean__algebra_391) ).

tff(f36639,plain,
    ordere2412721322843649153imp_le(nat),
    inference(cnf_transformation,[],[f9251]) ).

tff(f9251,axiom,
    ordere2412721322843649153imp_le(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le_26) ).

tff(f36638,plain,
    topolo6943815403480290642id_add(nat),
    inference(cnf_transformation,[],[f9273]) ).

tff(f9273,axiom,
    topolo6943815403480290642id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__add_47) ).

tff(f36637,plain,
    ordere2412721322843649153imp_le(real),
    inference(cnf_transformation,[],[f9386]) ).

tff(f9386,axiom,
    ordere2412721322843649153imp_le(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le_150) ).

tff(f36636,plain,
    topolo6943815403480290642id_add(real),
    inference(cnf_transformation,[],[f9422]) ).

tff(f9422,axiom,
    topolo6943815403480290642id_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__monoid__add_171) ).

tff(f36635,plain,
    topolo6943815403480290642id_add(int),
    inference(cnf_transformation,[],[f9164]) ).

tff(f9164,axiom,
    topolo6943815403480290642id_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__add) ).

tff(f36634,plain,
    ordere2412721322843649153imp_le(int),
    inference(cnf_transformation,[],[f9137]) ).

tff(f9137,axiom,
    ordere2412721322843649153imp_le(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le) ).

tff(f36633,plain,
    topolo6943815403480290642id_add(complex),
    inference(cnf_transformation,[],[f9540]) ).

tff(f9540,axiom,
    topolo6943815403480290642id_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__monoid__add_278) ).

tff(f36632,plain,
    ordere2412721322843649153imp_le(code_integer),
    inference(cnf_transformation,[],[f9678]) ).

tff(f9678,axiom,
    ordere2412721322843649153imp_le(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add__imp__le_415) ).

tff(f36631,plain,
    ordere580206878836729694up_add(nat),
    inference(cnf_transformation,[],[f9250]) ).

tff(f9250,axiom,
    ordere580206878836729694up_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add_25) ).

tff(f36630,plain,
    ordere580206878836729694up_add(real),
    inference(cnf_transformation,[],[f9385]) ).

tff(f9385,axiom,
    ordere580206878836729694up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add_149) ).

tff(f36629,plain,
    ordere580206878836729694up_add(int),
    inference(cnf_transformation,[],[f9136]) ).

tff(f9136,axiom,
    ordere580206878836729694up_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__ab__semigroup__add) ).

tff(f36628,plain,
    ordere580206878836729694up_add(code_integer),
    inference(cnf_transformation,[],[f9677]) ).

tff(f9677,axiom,
    ordere580206878836729694up_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__ab__semigroup__add_414) ).

tff(f36627,plain,
    ordere1937475149494474687imp_le(nat),
    inference(cnf_transformation,[],[f9243]) ).

tff(f9243,axiom,
    ordere1937475149494474687imp_le(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_19) ).

tff(f36626,plain,
    ordere8940638589300402666id_add(nat),
    inference(cnf_transformation,[],[f9255]) ).

tff(f9255,axiom,
    ordere8940638589300402666id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__add_30) ).

tff(f36625,plain,
    ordere1937475149494474687imp_le(real),
    inference(cnf_transformation,[],[f9376]) ).

tff(f9376,axiom,
    ordere1937475149494474687imp_le(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le_146) ).

tff(f36624,plain,
    ordere8940638589300402666id_add(real),
    inference(cnf_transformation,[],[f9390]) ).

tff(f9390,axiom,
    ordere8940638589300402666id_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__comm__monoid__add_153) ).

tff(f36623,plain,
    ordere8940638589300402666id_add(int),
    inference(cnf_transformation,[],[f9141]) ).

tff(f9141,axiom,
    ordere8940638589300402666id_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__comm__monoid__add) ).

tff(f36622,plain,
    ordere1937475149494474687imp_le(int),
    inference(cnf_transformation,[],[f9129]) ).

tff(f9129,axiom,
    ordere1937475149494474687imp_le(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__monoid__add__imp__le) ).

tff(f36621,plain,
    ordere1937475149494474687imp_le(code_integer),
    inference(cnf_transformation,[],[f9670]) ).

tff(f9670,axiom,
    ordere1937475149494474687imp_le(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__monoid__add__imp__le_407) ).

tff(f36620,plain,
    ordere8940638589300402666id_add(code_integer),
    inference(cnf_transformation,[],[f9682]) ).

tff(f9682,axiom,
    ordere8940638589300402666id_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__comm__monoid__add_419) ).

tff(f36619,plain,
    idom_abs_sgn(real),
    inference(cnf_transformation,[],[f9465]) ).

tff(f9465,axiom,
    idom_abs_sgn(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__abs__sgn_206) ).

tff(f36618,plain,
    idom_abs_sgn(int),
    inference(cnf_transformation,[],[f9204]) ).

tff(f9204,axiom,
    idom_abs_sgn(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__abs__sgn) ).

tff(f36617,plain,
    idom_abs_sgn(complex),
    inference(cnf_transformation,[],[f9565]) ).

tff(f9565,axiom,
    idom_abs_sgn(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__abs__sgn_303) ).

tff(f36616,plain,
    idom_abs_sgn(code_integer),
    inference(cnf_transformation,[],[f9734]) ).

tff(f9734,axiom,
    idom_abs_sgn(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__abs__sgn_471) ).

tff(f36615,plain,
    topolo5987344860129210374id_add(nat),
    inference(cnf_transformation,[],[f9261]) ).

tff(f9261,axiom,
    topolo5987344860129210374id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__add_35) ).

tff(f36614,plain,
    topolo5987344860129210374id_add(real),
    inference(cnf_transformation,[],[f9399]) ).

tff(f9399,axiom,
    topolo5987344860129210374id_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__comm__monoid__add_157) ).

tff(f36613,plain,
    ring_15535105094025558882visors(real),
    inference(cnf_transformation,[],[f9420]) ).

tff(f9420,axiom,
    ring_15535105094025558882visors(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1__no__zero__divisors_170) ).

tff(f36612,plain,
    ring_15535105094025558882visors(int),
    inference(cnf_transformation,[],[f9163]) ).

tff(f9163,axiom,
    ring_15535105094025558882visors(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1__no__zero__divisors) ).

tff(f36611,plain,
    topolo5987344860129210374id_add(int),
    inference(cnf_transformation,[],[f9147]) ).

tff(f9147,axiom,
    topolo5987344860129210374id_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__add) ).

tff(f36610,plain,
    topolo5987344860129210374id_add(complex),
    inference(cnf_transformation,[],[f9526]) ).

tff(f9526,axiom,
    topolo5987344860129210374id_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__comm__monoid__add_264) ).

tff(f36609,plain,
    ring_15535105094025558882visors(complex),
    inference(cnf_transformation,[],[f9538]) ).

tff(f9538,axiom,
    ring_15535105094025558882visors(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1__no__zero__divisors_276) ).

tff(f36608,plain,
    ring_15535105094025558882visors(code_integer),
    inference(cnf_transformation,[],[f9697]) ).

tff(f9697,axiom,
    ring_15535105094025558882visors(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1__no__zero__divisors_434) ).

tff(f36607,plain,
    ordered_semiring_0(nat),
    inference(cnf_transformation,[],[f9281]) ).

tff(f9281,axiom,
    ordered_semiring_0(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring__0_55) ).

tff(f36606,plain,
    ordered_semiring_0(real),
    inference(cnf_transformation,[],[f9434]) ).

tff(f9434,axiom,
    ordered_semiring_0(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring__0_181) ).

tff(f36605,plain,
    ordered_semiring_0(int),
    inference(cnf_transformation,[],[f9175]) ).

tff(f9175,axiom,
    ordered_semiring_0(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring__0) ).

tff(f36604,plain,
    ordered_semiring_0(code_integer),
    inference(cnf_transformation,[],[f9707]) ).

tff(f9707,axiom,
    ordered_semiring_0(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring__0_444) ).

tff(f36603,plain,
    idom_divide(real),
    inference(cnf_transformation,[],[f9470]) ).

tff(f9470,axiom,
    idom_divide(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__divide_210) ).

tff(f36602,plain,
    idom_divide(int),
    inference(cnf_transformation,[],[f9210]) ).

tff(f9210,axiom,
    idom_divide(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__divide) ).

tff(f36601,plain,
    idom_divide(complex),
    inference(cnf_transformation,[],[f9567]) ).

tff(f9567,axiom,
    idom_divide(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__divide_305) ).

tff(f36600,plain,
    idom_divide(code_integer),
    inference(cnf_transformation,[],[f9740]) ).

tff(f9740,axiom,
    idom_divide(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__divide_477) ).

tff(f36599,plain,
    linordered_semiring(nat),
    inference(cnf_transformation,[],[f9280]) ).

tff(f9280,axiom,
    linordered_semiring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring_54) ).

tff(f36598,plain,
    linord2810124833399127020strict(nat),
    inference(cnf_transformation,[],[f9253]) ).

tff(f9253,axiom,
    linord2810124833399127020strict(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__comm__semiring__strict_28) ).

tff(f36597,plain,
    linord2810124833399127020strict(real),
    inference(cnf_transformation,[],[f9387]) ).

tff(f9387,axiom,
    linord2810124833399127020strict(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__comm__semiring__strict_151) ).

tff(f36596,plain,
    linordered_semiring(real),
    inference(cnf_transformation,[],[f9432]) ).

tff(f9432,axiom,
    linordered_semiring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring_180) ).

tff(f36595,plain,
    linordered_semiring(int),
    inference(cnf_transformation,[],[f9174]) ).

tff(f9174,axiom,
    linordered_semiring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring) ).

tff(f36594,plain,
    linord2810124833399127020strict(int),
    inference(cnf_transformation,[],[f9139]) ).

tff(f9139,axiom,
    linord2810124833399127020strict(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__comm__semiring__strict) ).

tff(f36593,plain,
    linordered_semiring(code_integer),
    inference(cnf_transformation,[],[f9706]) ).

tff(f9706,axiom,
    linordered_semiring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring_443) ).

tff(f36592,plain,
    linord2810124833399127020strict(code_integer),
    inference(cnf_transformation,[],[f9680]) ).

tff(f9680,axiom,
    linord2810124833399127020strict(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__comm__semiring__strict_417) ).

tff(f36591,plain,
    linordered_idom(real),
    inference(cnf_transformation,[],[f9448]) ).

tff(f9448,axiom,
    linordered_idom(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_193) ).

tff(f36590,plain,
    linordered_idom(int),
    inference(cnf_transformation,[],[f9190]) ).

tff(f9190,axiom,
    linordered_idom(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__idom) ).

tff(f36589,plain,
    linordered_idom(code_integer),
    inference(cnf_transformation,[],[f9720]) ).

tff(f9720,axiom,
    linordered_idom(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__idom_457) ).

tff(f36588,plain,
    bit_se359711467146920520ations(nat),
    inference(cnf_transformation,[],[f9252]) ).

tff(f9252,axiom,
    bit_se359711467146920520ations(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bit__operations_27) ).

tff(f36587,plain,
    bit_se359711467146920520ations(int),
    inference(cnf_transformation,[],[f9138]) ).

tff(f9138,axiom,
    bit_se359711467146920520ations(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bit__operations) ).

tff(f36586,plain,
    bit_se359711467146920520ations(code_integer),
    inference(cnf_transformation,[],[f9679]) ).

tff(f9679,axiom,
    bit_se359711467146920520ations(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bit__operations_416) ).

tff(f36585,plain,
    bit_un5681908812861735899ations(nat),
    inference(cnf_transformation,[],[f9240]) ).

tff(f9240,axiom,
    bit_un5681908812861735899ations(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_16) ).

tff(f36584,plain,
    bit_un5681908812861735899ations(int),
    inference(cnf_transformation,[],[f9125]) ).

tff(f9125,axiom,
    bit_un5681908812861735899ations(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations) ).

tff(f36583,plain,
    bit_un5681908812861735899ations(code_integer),
    inference(cnf_transformation,[],[f9666]) ).

tff(f9666,axiom,
    bit_un5681908812861735899ations(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_403) ).

tff(f36582,plain,
    algebraic_semidom(nat),
    inference(cnf_transformation,[],[f9287]) ).

tff(f9287,axiom,
    algebraic_semidom(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oalgebraic__semidom_61) ).

tff(f36581,plain,
    algebraic_semidom(int),
    inference(cnf_transformation,[],[f9181]) ).

tff(f9181,axiom,
    algebraic_semidom(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oalgebraic__semidom) ).

tff(f36580,plain,
    algebraic_semidom(code_integer),
    inference(cnf_transformation,[],[f9711]) ).

tff(f9711,axiom,
    algebraic_semidom(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oalgebraic__semidom_448) ).

tff(f36579,plain,
    unique1627219031080169319umeral(nat),
    inference(cnf_transformation,[],[f9246]) ).

tff(f9246,axiom,
    unique1627219031080169319umeral(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Divides_Ounique__euclidean__semiring__numeral_22) ).

tff(f36578,plain,
    unique1627219031080169319umeral(int),
    inference(cnf_transformation,[],[f9132]) ).

tff(f9132,axiom,
    unique1627219031080169319umeral(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Divides_Ounique__euclidean__semiring__numeral) ).

tff(f36577,plain,
    unique1627219031080169319umeral(code_integer),
    inference(cnf_transformation,[],[f9673]) ).

tff(f9673,axiom,
    unique1627219031080169319umeral(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Divides_Ounique__euclidean__semiring__numeral_410) ).

tff(f36576,plain,
    euclid4440199948858584721cancel(nat),
    inference(cnf_transformation,[],[f9245]) ).

tff(f9245,axiom,
    euclid4440199948858584721cancel(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring__cancel_21) ).

tff(f36575,plain,
    euclid4440199948858584721cancel(int),
    inference(cnf_transformation,[],[f9131]) ).

tff(f9131,axiom,
    euclid4440199948858584721cancel(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring__cancel) ).

tff(f36574,plain,
    euclid4440199948858584721cancel(code_integer),
    inference(cnf_transformation,[],[f9672]) ).

tff(f9672,axiom,
    euclid4440199948858584721cancel(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring__cancel_409) ).

tff(f36573,plain,
    bit_semiring_bits(nat),
    inference(cnf_transformation,[],[f9276]) ).

tff(f9276,axiom,
    bit_semiring_bits(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bits_50) ).

tff(f36572,plain,
    bit_semiring_bits(int),
    inference(cnf_transformation,[],[f9168]) ).

tff(f9168,axiom,
    bit_semiring_bits(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bits) ).

tff(f36571,plain,
    bit_semiring_bits(code_integer),
    inference(cnf_transformation,[],[f9701]) ).

tff(f9701,axiom,
    bit_semiring_bits(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bits_438) ).

tff(f36570,plain,
    ordered_ab_group_add(real),
    inference(cnf_transformation,[],[f9430]) ).

tff(f9430,axiom,
    ordered_ab_group_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add_178) ).

tff(f36569,plain,
    ordered_ab_group_add(int),
    inference(cnf_transformation,[],[f9172]) ).

tff(f9172,axiom,
    ordered_ab_group_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add) ).

tff(f36568,plain,
    ordered_ab_group_add(code_integer),
    inference(cnf_transformation,[],[f9704]) ).

tff(f9704,axiom,
    ordered_ab_group_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add_441) ).

tff(f36567,plain,
    semiring_parity(nat),
    inference(cnf_transformation,[],[f9292]) ).

tff(f9292,axiom,
    semiring_parity(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Parity_Osemiring__parity_65) ).

tff(f36566,plain,
    ordere166539214618696060dd_abs(real),
    inference(cnf_transformation,[],[f9414]) ).

tff(f9414,axiom,
    ordere166539214618696060dd_abs(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add__abs_166) ).

tff(f36565,plain,
    semiring_parity(int),
    inference(cnf_transformation,[],[f9186]) ).

tff(f9186,axiom,
    semiring_parity(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Osemiring__parity) ).

tff(f36564,plain,
    ordere166539214618696060dd_abs(int),
    inference(cnf_transformation,[],[f9158]) ).

tff(f9158,axiom,
    ordere166539214618696060dd_abs(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add__abs) ).

tff(f36563,plain,
    ordere166539214618696060dd_abs(code_integer),
    inference(cnf_transformation,[],[f9693]) ).

tff(f9693,axiom,
    ordere166539214618696060dd_abs(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add__abs_430) ).

tff(f36562,plain,
    semiring_parity(code_integer),
    inference(cnf_transformation,[],[f9716]) ).

tff(f9716,axiom,
    semiring_parity(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Osemiring__parity_453) ).

tff(f36561,plain,
    euclid5411537665997757685th_nat(nat),
    inference(cnf_transformation,[],[f9242]) ).

tff(f9242,axiom,
    euclid5411537665997757685th_nat(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring__with__nat_18) ).

tff(f36560,plain,
    euclid5411537665997757685th_nat(int),
    inference(cnf_transformation,[],[f9127]) ).

tff(f9127,axiom,
    euclid5411537665997757685th_nat(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring__with__nat) ).

tff(f36559,plain,
    euclid5411537665997757685th_nat(code_integer),
    inference(cnf_transformation,[],[f9668]) ).

tff(f9668,axiom,
    euclid5411537665997757685th_nat(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring__with__nat_405) ).

tff(f36558,plain,
    linord4710134922213307826strict(real),
    inference(cnf_transformation,[],[f9424]) ).

tff(f9424,axiom,
    linord4710134922213307826strict(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring__strict_173) ).

tff(f36557,plain,
    linord4710134922213307826strict(int),
    inference(cnf_transformation,[],[f9166]) ).

tff(f9166,axiom,
    linord4710134922213307826strict(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring__strict) ).

tff(f36556,plain,
    linord4710134922213307826strict(code_integer),
    inference(cnf_transformation,[],[f9699]) ).

tff(f9699,axiom,
    linord4710134922213307826strict(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring__strict_436) ).

tff(f36555,plain,
    linord5086331880401160121up_add(real),
    inference(cnf_transformation,[],[f9418]) ).

tff(f9418,axiom,
    linord5086331880401160121up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__group__add_168) ).

tff(f36554,plain,
    linord5086331880401160121up_add(int),
    inference(cnf_transformation,[],[f9161]) ).

tff(f9161,axiom,
    linord5086331880401160121up_add(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__group__add) ).

tff(f36553,plain,
    linord5086331880401160121up_add(code_integer),
    inference(cnf_transformation,[],[f9695]) ).

tff(f9695,axiom,
    linord5086331880401160121up_add(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__group__add_432) ).

tff(f36552,plain,
    no_top(nat),
    inference(cnf_transformation,[],[f9314]) ).

tff(f9314,axiom,
    no_top(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Ono__top_86) ).

tff(f36551,plain,
    semiring_modulo(nat),
    inference(cnf_transformation,[],[f9294]) ).

tff(f9294,axiom,
    semiring_modulo(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__modulo_67) ).

tff(f36550,plain,
    no_top(real),
    inference(cnf_transformation,[],[f9475]) ).

tff(f9475,axiom,
    no_top(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__top_215) ).

tff(f36549,plain,
    semiring_modulo(int),
    inference(cnf_transformation,[],[f9188]) ).

tff(f9188,axiom,
    semiring_modulo(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__modulo) ).

tff(f36548,plain,
    no_top(int),
    inference(cnf_transformation,[],[f9215]) ).

tff(f9215,axiom,
    no_top(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__top) ).

tff(f36547,plain,
    semiring_modulo(code_integer),
    inference(cnf_transformation,[],[f9718]) ).

tff(f9718,axiom,
    semiring_modulo(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__modulo_455) ).

tff(f36546,plain,
    ordered_ring(real),
    inference(cnf_transformation,[],[f9464]) ).

tff(f9464,axiom,
    ordered_ring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring_205) ).

tff(f36545,plain,
    ordered_ring(int),
    inference(cnf_transformation,[],[f9203]) ).

tff(f9203,axiom,
    ordered_ring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring) ).

tff(f36544,plain,
    ordered_ring(code_integer),
    inference(cnf_transformation,[],[f9733]) ).

tff(f9733,axiom,
    ordered_ring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring_470) ).

tff(f36543,plain,
    wellorder(nat),
    inference(cnf_transformation,[],[f9304]) ).

tff(f9304,axiom,
    wellorder(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Owellorder) ).

tff(f36542,plain,
    linordered_ring(real),
    inference(cnf_transformation,[],[f9447]) ).

tff(f9447,axiom,
    linordered_ring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring_192) ).

tff(f36541,plain,
    linordered_ring(int),
    inference(cnf_transformation,[],[f9189]) ).

tff(f9189,axiom,
    linordered_ring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring) ).

tff(f36540,plain,
    linordered_ring(code_integer),
    inference(cnf_transformation,[],[f9719]) ).

tff(f9719,axiom,
    linordered_ring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring_456) ).

tff(f36539,plain,
    wellorder(extended_enat),
    inference(cnf_transformation,[],[f9621]) ).

tff(f9621,axiom,
    wellorder(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Owellorder_358) ).

tff(f36538,plain,
    wellorder(product_unit),
    inference(cnf_transformation,[],[f9657]) ).

tff(f9657,axiom,
    wellorder(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Owellorder_394) ).

tff(f36537,plain,
    semidom_modulo(nat),
    inference(cnf_transformation,[],[f9298]) ).

tff(f9298,axiom,
    semidom_modulo(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__modulo_71) ).

tff(f36536,plain,
    semidom_modulo(int),
    inference(cnf_transformation,[],[f9194]) ).

tff(f9194,axiom,
    semidom_modulo(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__modulo) ).

tff(f36535,plain,
    semidom_modulo(code_integer),
    inference(cnf_transformation,[],[f9724]) ).

tff(f9724,axiom,
    semidom_modulo(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__modulo_461) ).

tff(f36534,plain,
    euclid3725896446679973847miring(nat),
    inference(cnf_transformation,[],[f9257]) ).

tff(f9257,axiom,
    euclid3725896446679973847miring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring_31) ).

tff(f36533,plain,
    euclid3128863361964157862miring(nat),
    inference(cnf_transformation,[],[f9244]) ).

tff(f9244,axiom,
    euclid3128863361964157862miring(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring_20) ).

tff(f36532,plain,
    abs_if(real),
    inference(cnf_transformation,[],[f9489]) ).

tff(f9489,axiom,
    abs_if(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oabs__if_228) ).

tff(f36531,plain,
    euclid3128863361964157862miring(int),
    inference(cnf_transformation,[],[f9130]) ).

tff(f9130,axiom,
    euclid3128863361964157862miring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring) ).

tff(f36530,plain,
    abs_if(int),
    inference(cnf_transformation,[],[f9229]) ).

tff(f9229,axiom,
    abs_if(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oabs__if) ).

tff(f36529,plain,
    euclid3725896446679973847miring(int),
    inference(cnf_transformation,[],[f9142]) ).

tff(f9142,axiom,
    euclid3725896446679973847miring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring) ).

tff(f36528,plain,
    euclid3725896446679973847miring(code_integer),
    inference(cnf_transformation,[],[f9683]) ).

tff(f9683,axiom,
    euclid3725896446679973847miring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring_420) ).

tff(f36527,plain,
    euclid3128863361964157862miring(code_integer),
    inference(cnf_transformation,[],[f9671]) ).

tff(f9671,axiom,
    euclid3128863361964157862miring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring_408) ).

tff(f36526,plain,
    abs_if(code_integer),
    inference(cnf_transformation,[],[f9755]) ).

tff(f9755,axiom,
    abs_if(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oabs__if_492) ).

tff(f36525,plain,
    linord6961819062388156250ring_1(real),
    inference(cnf_transformation,[],[f9429]) ).

tff(f9429,axiom,
    linord6961819062388156250ring_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1_177) ).

tff(f36524,plain,
    linord715952674999750819strict(real),
    inference(cnf_transformation,[],[f9396]) ).

tff(f9396,axiom,
    linord715952674999750819strict(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1__strict_156) ).

tff(f36523,plain,
    ordered_ring_abs(real),
    inference(cnf_transformation,[],[f9445]) ).

tff(f9445,axiom,
    ordered_ring_abs(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring__abs_190) ).

tff(f36522,plain,
    linord6961819062388156250ring_1(int),
    inference(cnf_transformation,[],[f9171]) ).

tff(f9171,axiom,
    linord6961819062388156250ring_1(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1) ).

tff(f36521,plain,
    linord715952674999750819strict(int),
    inference(cnf_transformation,[],[f9146]) ).

tff(f9146,axiom,
    linord715952674999750819strict(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1__strict) ).

tff(f36520,plain,
    ordered_ring_abs(int),
    inference(cnf_transformation,[],[f9185]) ).

tff(f9185,axiom,
    ordered_ring_abs(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring__abs) ).

tff(f36519,plain,
    ordered_ring_abs(code_integer),
    inference(cnf_transformation,[],[f9715]) ).

tff(f9715,axiom,
    ordered_ring_abs(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring__abs_452) ).

tff(f36518,plain,
    linord6961819062388156250ring_1(code_integer),
    inference(cnf_transformation,[],[f9703]) ).

tff(f9703,axiom,
    linord6961819062388156250ring_1(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1_440) ).

tff(f36517,plain,
    linord715952674999750819strict(code_integer),
    inference(cnf_transformation,[],[f9684]) ).

tff(f9684,axiom,
    linord715952674999750819strict(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1__strict_421) ).

tff(f36516,plain,
    real_V822414075346904944vector(real),
    inference(cnf_transformation,[],[f9388]) ).

tff(f9388,axiom,
    real_V822414075346904944vector(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__vector) ).

tff(f36515,plain,
    real_V822414075346904944vector(complex),
    inference(cnf_transformation,[],[f9521]) ).

tff(f9521,axiom,
    real_V822414075346904944vector(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__vector_259) ).

tff(f36514,plain,
    real_V3459762299906320749_field(real),
    inference(cnf_transformation,[],[f9393]) ).

tff(f9393,axiom,
    real_V3459762299906320749_field(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__field) ).

tff(f36513,plain,
    real_V3459762299906320749_field(complex),
    inference(cnf_transformation,[],[f9523]) ).

tff(f9523,axiom,
    real_V3459762299906320749_field(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__field_261) ).

tff(f36512,plain,
    real_Vector_banach(real),
    inference(cnf_transformation,[],[f9433]) ).

tff(f9433,axiom,
    real_Vector_banach(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Obanach) ).

tff(f36511,plain,
    real_Vector_banach(complex),
    inference(cnf_transformation,[],[f9546]) ).

tff(f9546,axiom,
    real_Vector_banach(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Obanach_284) ).

tff(f36510,plain,
    bit_ri3973907225187159222ations(int),
    inference(cnf_transformation,[],[f9149]) ).

tff(f9149,axiom,
    bit_ri3973907225187159222ations(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Oring__bit__operations) ).

tff(f36509,plain,
    bit_ri3973907225187159222ations(code_integer),
    inference(cnf_transformation,[],[f9686]) ).

tff(f9686,axiom,
    bit_ri3973907225187159222ations(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Oring__bit__operations_423) ).

tff(f36508,plain,
    division_ring(real),
    inference(cnf_transformation,[],[f9457]) ).

tff(f9457,axiom,
    division_ring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Odivision__ring) ).

tff(f36507,plain,
    division_ring(complex),
    inference(cnf_transformation,[],[f9559]) ).

tff(f9559,axiom,
    division_ring(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Odivision__ring_297) ).

tff(f36506,plain,
    real_V2822296259951069270ebra_1(real),
    inference(cnf_transformation,[],[f9380]) ).

tff(f9380,axiom,
    real_V2822296259951069270ebra_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra__1) ).

tff(f36505,plain,
    real_V2822296259951069270ebra_1(complex),
    inference(cnf_transformation,[],[f9518]) ).

tff(f9518,axiom,
    real_V2822296259951069270ebra_1(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra__1_256) ).

tff(f36504,plain,
    real_V7819770556892013058_space(real),
    inference(cnf_transformation,[],[f9411]) ).

tff(f9411,axiom,
    real_V7819770556892013058_space(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ometric__space) ).

tff(f36503,plain,
    real_V7819770556892013058_space(complex),
    inference(cnf_transformation,[],[f9534]) ).

tff(f9534,axiom,
    real_V7819770556892013058_space(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ometric__space_272) ).

tff(f36502,plain,
    field(real),
    inference(cnf_transformation,[],[f9490]) ).

tff(f9490,axiom,
    field(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield) ).

tff(f36501,plain,
    field(complex),
    inference(cnf_transformation,[],[f9581]) ).

tff(f9581,axiom,
    field(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield_319) ).

tff(f36500,plain,
    real_V4412858255891104859lgebra(real),
    inference(cnf_transformation,[],[f9382]) ).

tff(f9382,axiom,
    real_V4412858255891104859lgebra(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra) ).

tff(f36499,plain,
    real_V4412858255891104859lgebra(complex),
    inference(cnf_transformation,[],[f9520]) ).

tff(f9520,axiom,
    real_V4412858255891104859lgebra(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra_258) ).

tff(f36498,plain,
    field_char_0(real),
    inference(cnf_transformation,[],[f9462]) ).

tff(f9462,axiom,
    field_char_0(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__char__0) ).

tff(f36497,plain,
    field_char_0(complex),
    inference(cnf_transformation,[],[f9563]) ).

tff(f9563,axiom,
    field_char_0(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__char__0_301) ).

tff(f36496,plain,
    real_V8999393235501362500lgebra(real),
    inference(cnf_transformation,[],[f9379]) ).

tff(f9379,axiom,
    real_V8999393235501362500lgebra(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__div__algebra) ).

tff(f36495,plain,
    real_V8999393235501362500lgebra(complex),
    inference(cnf_transformation,[],[f9517]) ).

tff(f9517,axiom,
    real_V8999393235501362500lgebra(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__div__algebra_255) ).

tff(f36494,plain,
    topolo7287701948861334536_space(real),
    inference(cnf_transformation,[],[f9407]) ).

tff(f9407,axiom,
    topolo7287701948861334536_space(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ouniform__space) ).

tff(f36493,plain,
    topolo7287701948861334536_space(complex),
    inference(cnf_transformation,[],[f9531]) ).

tff(f9531,axiom,
    topolo7287701948861334536_space(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ouniform__space_269) ).

tff(f36492,plain,
    canoni5634975068530333245id_add(nat),
    inference(cnf_transformation,[],[f9256]) ).

tff(f9256,axiom,
    canoni5634975068530333245id_add(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocanonically__ordered__monoid__add) ).

tff(f36491,plain,
    real_V4867850818363320053vector(real),
    inference(cnf_transformation,[],[f9416]) ).

tff(f9416,axiom,
    real_V4867850818363320053vector(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__vector) ).

tff(f36490,plain,
    real_V4867850818363320053vector(complex),
    inference(cnf_transformation,[],[f9536]) ).

tff(f9536,axiom,
    real_V4867850818363320053vector(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__vector_274) ).

tff(f36489,plain,
    canoni5634975068530333245id_add(extended_enat),
    inference(cnf_transformation,[],[f9596]) ).

tff(f9596,axiom,
    canoni5634975068530333245id_add(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocanonically__ordered__monoid__add_334) ).

tff(f36488,plain,
    comple5582772986160207858norder(extended_enat),
    inference(cnf_transformation,[],[f9599]) ).

tff(f9599,axiom,
    comple5582772986160207858norder(extended_enat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__linorder) ).

tff(f36487,plain,
    comple5582772986160207858norder(product_unit),
    inference(cnf_transformation,[],[f9652]) ).

tff(f9652,axiom,
    comple5582772986160207858norder(product_unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__linorder_389) ).

tff(f36486,plain,
    real_V2191834092415804123ebra_1(real),
    inference(cnf_transformation,[],[f9404]) ).

tff(f9404,axiom,
    real_V2191834092415804123ebra_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra__1) ).

tff(f36485,plain,
    real_V2191834092415804123ebra_1(complex),
    inference(cnf_transformation,[],[f9528]) ).

tff(f9528,axiom,
    real_V2191834092415804123ebra_1(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra__1_266) ).

tff(f36484,plain,
    euclid8851590272496341667cancel(int),
    inference(cnf_transformation,[],[f9133]) ).

tff(f9133,axiom,
    euclid8851590272496341667cancel(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring__cancel) ).

tff(f36483,plain,
    euclid8851590272496341667cancel(code_integer),
    inference(cnf_transformation,[],[f9674]) ).

tff(f9674,axiom,
    euclid8851590272496341667cancel(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring__cancel_411) ).

tff(f36482,plain,
    topolo3112930676232923870pology(real),
    inference(cnf_transformation,[],[f9378]) ).

tff(f9378,axiom,
    topolo3112930676232923870pology(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ofirst__countable__topology) ).

tff(f36481,plain,
    topolo3112930676232923870pology(complex),
    inference(cnf_transformation,[],[f9516]) ).

tff(f9516,axiom,
    topolo3112930676232923870pology(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ofirst__countable__topology_254) ).

tff(f36480,plain,
    topolo1898628316856586783d_mult(nat),
    inference(cnf_transformation,[],[f9270]) ).

tff(f9270,axiom,
    topolo1898628316856586783d_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__mult_44) ).

tff(f36479,plain,
    no_bot(real),
    inference(cnf_transformation,[],[f9476]) ).

tff(f9476,axiom,
    no_bot(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__bot_216) ).

tff(f36478,plain,
    no_bot(int),
    inference(cnf_transformation,[],[f9216]) ).

tff(f9216,axiom,
    no_bot(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__bot) ).

tff(f36477,plain,
    topolo1898628316856586783d_mult(int),
    inference(cnf_transformation,[],[f9159]) ).

tff(f9159,axiom,
    topolo1898628316856586783d_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__mult) ).

tff(f36476,plain,
    inverse(real),
    inference(cnf_transformation,[],[f9485]) ).

tff(f9485,axiom,
    inverse(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Oinverse) ).

tff(f36475,plain,
    inverse(complex),
    inference(cnf_transformation,[],[f9578]) ).

tff(f9578,axiom,
    inverse(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Oinverse_316) ).

tff(f36474,plain,
    real_V768167426530841204y_dist(real),
    inference(cnf_transformation,[],[f9397]) ).

tff(f9397,axiom,
    real_V768167426530841204y_dist(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ouniformity__dist) ).

tff(f36473,plain,
    real_V768167426530841204y_dist(complex),
    inference(cnf_transformation,[],[f9525]) ).

tff(f9525,axiom,
    real_V768167426530841204y_dist(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ouniformity__dist_263) ).

tff(f36472,plain,
    real_V7773925162809079976_field(real),
    inference(cnf_transformation,[],[f9421]) ).

tff(f9421,axiom,
    real_V7773925162809079976_field(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__field) ).

tff(f36471,plain,
    real_V7773925162809079976_field(complex),
    inference(cnf_transformation,[],[f9539]) ).

tff(f9539,axiom,
    real_V7773925162809079976_field(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__field_277) ).

tff(f36470,plain,
    semiring_gcd(nat),
    inference(cnf_transformation,[],[f9316]) ).

tff(f9316,axiom,
    semiring_gcd(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd_88) ).

tff(f36469,plain,
    topolo4987421752381908075d_mult(nat),
    inference(cnf_transformation,[],[f9260]) ).

tff(f9260,axiom,
    topolo4987421752381908075d_mult(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__mult_34) ).

tff(f36468,plain,
    real_V5047593784448816457lgebra(real),
    inference(cnf_transformation,[],[f9394]) ).

tff(f9394,axiom,
    real_V5047593784448816457lgebra(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__div__algebra) ).

tff(f36467,plain,
    topolo1287966508704411220up_add(real),
    inference(cnf_transformation,[],[f9412]) ).

tff(f9412,axiom,
    topolo1287966508704411220up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__ab__group__add) ).

tff(f36466,plain,
    topolo4987421752381908075d_mult(int),
    inference(cnf_transformation,[],[f9145]) ).

tff(f9145,axiom,
    topolo4987421752381908075d_mult(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__mult) ).

tff(f36465,plain,
    semiring_gcd(int),
    inference(cnf_transformation,[],[f9219]) ).

tff(f9219,axiom,
    semiring_gcd(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd) ).

tff(f36464,plain,
    real_V5047593784448816457lgebra(complex),
    inference(cnf_transformation,[],[f9524]) ).

tff(f9524,axiom,
    real_V5047593784448816457lgebra(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__div__algebra_262) ).

tff(f36463,plain,
    topolo1287966508704411220up_add(complex),
    inference(cnf_transformation,[],[f9535]) ).

tff(f9535,axiom,
    topolo1287966508704411220up_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__ab__group__add_273) ).

tff(f36462,plain,
    real_V8037385150606011577_space(real),
    inference(cnf_transformation,[],[f9405]) ).

tff(f9405,axiom,
    real_V8037385150606011577_space(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ocomplete__space) ).

tff(f36461,plain,
    real_V6157519004096292374lgebra(real),
    inference(cnf_transformation,[],[f9410]) ).

tff(f9410,axiom,
    real_V6157519004096292374lgebra(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra) ).

tff(f36460,plain,
    topolo1633459387980952147up_add(real),
    inference(cnf_transformation,[],[f9426]) ).

tff(f9426,axiom,
    topolo1633459387980952147up_add(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__group__add) ).

tff(f36459,plain,
    field_abs_sgn(real),
    inference(cnf_transformation,[],[f9456]) ).

tff(f9456,axiom,
    field_abs_sgn(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__abs__sgn) ).

tff(f36458,plain,
    euclid8789492081693882211th_nat(int),
    inference(cnf_transformation,[],[f9128]) ).

tff(f9128,axiom,
    euclid8789492081693882211th_nat(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__ring__with__nat) ).

tff(f36457,plain,
    ring_parity(int),
    inference(cnf_transformation,[],[f9205]) ).

tff(f9205,axiom,
    ring_parity(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Oring__parity) ).

tff(f36456,plain,
    real_V8037385150606011577_space(complex),
    inference(cnf_transformation,[],[f9529]) ).

tff(f9529,axiom,
    real_V8037385150606011577_space(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ocomplete__space_267) ).

tff(f36455,plain,
    topolo1633459387980952147up_add(complex),
    inference(cnf_transformation,[],[f9543]) ).

tff(f9543,axiom,
    topolo1633459387980952147up_add(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__group__add_281) ).

tff(f36454,plain,
    real_V6157519004096292374lgebra(complex),
    inference(cnf_transformation,[],[f9533]) ).

tff(f9533,axiom,
    real_V6157519004096292374lgebra(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra_271) ).

tff(f36453,plain,
    field_abs_sgn(complex),
    inference(cnf_transformation,[],[f9558]) ).

tff(f9558,axiom,
    field_abs_sgn(complex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__abs__sgn_296) ).

tff(f36452,plain,
    ring_parity(code_integer),
    inference(cnf_transformation,[],[f9735]) ).

tff(f9735,axiom,
    ring_parity(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Oring__parity_472) ).

tff(f36451,plain,
    euclid8789492081693882211th_nat(code_integer),
    inference(cnf_transformation,[],[f9669]) ).

tff(f9669,axiom,
    euclid8789492081693882211th_nat(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__ring__with__nat_406) ).

tff(f36450,plain,
    euclid5891614535332579305n_ring(int),
    inference(cnf_transformation,[],[f9154]) ).

tff(f9154,axiom,
    euclid5891614535332579305n_ring(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring) ).

tff(f36449,plain,
    idom_modulo(int),
    inference(cnf_transformation,[],[f9209]) ).

tff(f9209,axiom,
    idom_modulo(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__modulo) ).

tff(f36448,plain,
    euclid5891614535332579305n_ring(code_integer),
    inference(cnf_transformation,[],[f9689]) ).

tff(f9689,axiom,
    euclid5891614535332579305n_ring(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring_426) ).

tff(f36447,plain,
    idom_modulo(code_integer),
    inference(cnf_transformation,[],[f9739]) ).

tff(f9739,axiom,
    idom_modulo(code_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__modulo_476) ).

tff(f36446,plain,
    linordered_field(real),
    inference(cnf_transformation,[],[f9443]) ).

tff(f9443,axiom,
    linordered_field(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Olinordered__field) ).

tff(f36445,plain,
    archim2362893244070406136eiling(real),
    inference(cnf_transformation,[],[f9415]) ).

tff(f9415,axiom,
    archim2362893244070406136eiling(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Ofloor__ceiling) ).

tff(f36444,plain,
    real_V5355595471888546746vector(real),
    inference(cnf_transformation,[],[f9383]) ).

tff(f9383,axiom,
    real_V5355595471888546746vector(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oordered__real__vector) ).

tff(f36443,plain,
    dense_linorder(real),
    inference(cnf_transformation,[],[f9436]) ).

tff(f9436,axiom,
    dense_linorder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__linorder) ).

tff(f36442,plain,
    ordere1170586879665033532d_diff(nat),
    inference(cnf_transformation,[],[f9249]) ).

tff(f9249,axiom,
    ordere1170586879665033532d_diff(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__diff) ).

tff(f36441,plain,
    ln(real),
    inference(cnf_transformation,[],[f9469]) ).

tff(f9469,axiom,
    ln(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Transcendental_Oln) ).

tff(f36440,plain,
    archim462609752435547400_field(real),
    inference(cnf_transformation,[],[f9395]) ).

tff(f9395,axiom,
    archim462609752435547400_field(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Oarchimedean__field) ).

tff(f36439,plain,
    unboun7993243217541854897norder(real),
    inference(cnf_transformation,[],[f9398]) ).

tff(f9398,axiom,
    unboun7993243217541854897norder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ounbounded__dense__linorder) ).

tff(f36438,plain,
    topolo8458572112393995274pology(real),
    inference(cnf_transformation,[],[f9377]) ).

tff(f9377,axiom,
    topolo8458572112393995274pology(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinear__continuum__topology) ).

tff(f36437,plain,
    dense_order(real),
    inference(cnf_transformation,[],[f9451]) ).

tff(f9451,axiom,
    dense_order(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__order) ).

tff(f36436,plain,
    comm_monoid_diff(nat),
    inference(cnf_transformation,[],[f9289]) ).

tff(f9289,axiom,
    comm_monoid_diff(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__diff) ).

tff(f36435,plain,
    condit5016429287641298734tinuum(real),
    inference(cnf_transformation,[],[f9375]) ).

tff(f9375,axiom,
    condit5016429287641298734tinuum(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Olinear__continuum) ).

tff(f36434,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f9782]) ).

tff(f9782,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f36433,plain,
    ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(cnf_transformation,[],[f9791]) ).

tff(f9791,plain,
    ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(flattening,[],[f9790]) ).

tff(f9790,negated_conjecture,
    ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    inference(negated_conjecture,[],[f9789]) ).

tff(f9789,conjecture,
    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),if(nat,aa(nat,bool,aa(nat,fun(nat,bool),fequal(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),ma),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))),ma)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),deg))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP269_2 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 19:20:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (3689)Running in auto input_syntax mode. Trying TPTP
% 0.99/1.18  % (3913)WARNING: value z3 for option sas not known
% 0.99/1.18  % (3912)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.99/1.18  % (3911)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.99/1.18  % (3914)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.99/1.18  % (3913)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.99/1.18  % (3915)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.99/1.18  % (3916)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.99/1.18  % (3917)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 4.88/1.73  % (3917)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.61/2.13  % (3913)First to succeed.
% 7.61/2.15  % (3913)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3689"
% 7.61/2.16  % (3913)Refutation found. Thanks to Tanya!
% 7.61/2.16  % SZS status Theorem for theBenchmark
% 7.61/2.16  % SZS output start Proof for theBenchmark
% See solution above
% 7.61/2.18  % (3913)------------------------------
% 7.61/2.18  % (3913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.61/2.18  % (3913)Termination reason: Refutation
% 7.61/2.18  
% 7.61/2.18  % (3913)Memory used [KB]: 40372
% 7.61/2.18  % (3913)Time elapsed: 0.971 s
% 7.61/2.18  % (3913)Instructions burned: 3844 (million)
% 7.61/2.18  % (3689)Success in time 1.816 s
%------------------------------------------------------------------------------