Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP207_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:02 AM UTC 2026

% Result   : Theorem 26.85s 5.66s
% Output   : Refutation 28.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (  19 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  10   ~;   5   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of FOOLs       :    7 (   7 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  586 ( 583 usr;   2 prp; 0-9 aty)
%            Number of functors    : 2302 (2302 usr;  82 con; 0-9 aty)
%            Number of variables   :   36 (  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    tuple_isomorphism: ( $tType * $tType * $tType ) > $tType ).

tff(type_def_6,type,
    heap_Time_Heap: $tType > $tType ).

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

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

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

tff(type_def_10,type,
    heap_ext: $tType > $tType ).

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

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

tff(type_def_13,type,
    old_node: ( $tType * $tType ) > $tType ).

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

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

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

tff(type_def_17,type,
    sum_sum: ( $tType * $tType ) > $tType ).

tff(type_def_18,type,
    seq: $tType > $tType ).

tff(type_def_19,type,
    option: $tType > $tType ).

tff(type_def_20,type,
    filter: $tType > $tType ).

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

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

tff(type_def_23,type,
    set: $tType > $tType ).

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

tff(type_def_25,type,
    num: $tType ).

tff(type_def_26,type,
    nat: $tType ).

tff(type_def_27,type,
    int: $tType ).

tff(type_def_28,type,
    itself: $tType > $tType ).

tff(type_def_29,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_30,type,
    a: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_849,type,
    aTP_Lamp_my: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_850,type,
    aTP_Lamp_mz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_851,type,
    aTP_Lamp_na: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_852,type,
    aTP_Lamp_nb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_853,type,
    aTP_Lamp_nc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_854,type,
    aTP_Lamp_nd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_855,type,
    aTP_Lamp_ne: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_856,type,
    aTP_Lamp_nf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_857,type,
    aTP_Lamp_ng: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_858,type,
    aTP_Lamp_nh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_859,type,
    aTP_Lamp_ni: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_860,type,
    aTP_Lamp_nj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_861,type,
    aTP_Lamp_nk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_862,type,
    aTP_Lamp_nl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_863,type,
    aTP_Lamp_nm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_864,type,
    aTP_Lamp_nn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_865,type,
    aTP_Lamp_no: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_866,type,
    aTP_Lamp_np: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_867,type,
    aTP_Lamp_nq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_868,type,
    aTP_Lamp_nr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_869,type,
    aTP_Lamp_ns: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_870,type,
    aTP_Lamp_nt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_871,type,
    aTP_Lamp_nu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_872,type,
    aTP_Lamp_nv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_873,type,
    aTP_Lamp_nw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_874,type,
    aTP_Lamp_nx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_875,type,
    aTP_Lamp_ny: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_876,type,
    aTP_Lamp_nz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_877,type,
    aTP_Lamp_oa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_878,type,
    aTP_Lamp_ob: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_879,type,
    aTP_Lamp_oc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_880,type,
    aTP_Lamp_od: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_881,type,
    aTP_Lamp_oe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_882,type,
    aTP_Lamp_of: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_883,type,
    aTP_Lamp_og: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_884,type,
    aTP_Lamp_oh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_885,type,
    aTP_Lamp_oi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_886,type,
    aTP_Lamp_oj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_887,type,
    aTP_Lamp_ok: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_888,type,
    aTP_Lamp_ol: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_889,type,
    aTP_Lamp_om: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_890,type,
    aTP_Lamp_on: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_891,type,
    aTP_Lamp_oo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_892,type,
    aTP_Lamp_op: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_893,type,
    aTP_Lamp_oq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_894,type,
    aTP_Lamp_or: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_895,type,
    aTP_Lamp_os: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_896,type,
    aTP_Lamp_ot: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_897,type,
    aTP_Lamp_ou: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_ov: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_ow: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_ox: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_oy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_oz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_903,type,
    aTP_Lamp_pa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_904,type,
    aTP_Lamp_pb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_905,type,
    aTP_Lamp_pc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_906,type,
    aTP_Lamp_pd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_907,type,
    aTP_Lamp_pe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_908,type,
    aTP_Lamp_pf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_909,type,
    aTP_Lamp_pg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_910,type,
    aTP_Lamp_ph: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_911,type,
    aTP_Lamp_pi: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_912,type,
    aTP_Lamp_pj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_913,type,
    aTP_Lamp_pk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_914,type,
    aTP_Lamp_pl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_915,type,
    aTP_Lamp_pm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_916,type,
    aTP_Lamp_pn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_917,type,
    aTP_Lamp_po: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_918,type,
    aTP_Lamp_pp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_919,type,
    aTP_Lamp_pq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_920,type,
    aTP_Lamp_pr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_921,type,
    aTP_Lamp_ps: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_922,type,
    aTP_Lamp_pt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_923,type,
    aTP_Lamp_pu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_924,type,
    aTP_Lamp_pv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_925,type,
    aTP_Lamp_pw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_926,type,
    aTP_Lamp_px: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_927,type,
    aTP_Lamp_py: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_928,type,
    aTP_Lamp_pz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_929,type,
    aTP_Lamp_qa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_930,type,
    aTP_Lamp_qb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_931,type,
    aTP_Lamp_qc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_932,type,
    aTP_Lamp_qd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_933,type,
    aTP_Lamp_qe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_934,type,
    aTP_Lamp_qf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_935,type,
    aTP_Lamp_qg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_936,type,
    aTP_Lamp_qh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_937,type,
    aTP_Lamp_qi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_938,type,
    aTP_Lamp_qj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_939,type,
    aTP_Lamp_qk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_940,type,
    aTP_Lamp_ql: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_941,type,
    aTP_Lamp_qm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_942,type,
    aTP_Lamp_qn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_943,type,
    aTP_Lamp_qo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_944,type,
    aTP_Lamp_qp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_945,type,
    aTP_Lamp_qq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_946,type,
    aTP_Lamp_qr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_947,type,
    aTP_Lamp_qs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_948,type,
    aTP_Lamp_qt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_949,type,
    aTP_Lamp_qu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_950,type,
    aTP_Lamp_qv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_951,type,
    aTP_Lamp_qw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_952,type,
    aTP_Lamp_qx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_953,type,
    aTP_Lamp_qy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_954,type,
    aTP_Lamp_qz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_955,type,
    aTP_Lamp_ra: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_956,type,
    aTP_Lamp_rb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_957,type,
    aTP_Lamp_rc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_958,type,
    aTP_Lamp_rd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_959,type,
    aTP_Lamp_re: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_960,type,
    aTP_Lamp_rf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_961,type,
    aTP_Lamp_rg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_962,type,
    aTP_Lamp_rh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_963,type,
    aTP_Lamp_ri: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_964,type,
    aTP_Lamp_rj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_965,type,
    aTP_Lamp_rk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_966,type,
    aTP_Lamp_rl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_967,type,
    aTP_Lamp_rm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_968,type,
    aTP_Lamp_rn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_969,type,
    aTP_Lamp_ro: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_970,type,
    aTP_Lamp_rp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_971,type,
    aTP_Lamp_rq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_972,type,
    aTP_Lamp_rr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_973,type,
    aTP_Lamp_rs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_974,type,
    aTP_Lamp_rt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_975,type,
    aTP_Lamp_ru: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_976,type,
    aTP_Lamp_rv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_977,type,
    aTP_Lamp_rw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_978,type,
    aTP_Lamp_rx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_979,type,
    aTP_Lamp_ry: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_980,type,
    aTP_Lamp_rz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_981,type,
    aTP_Lamp_sa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_982,type,
    aTP_Lamp_sb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_983,type,
    aTP_Lamp_sc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_984,type,
    aTP_Lamp_sd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_985,type,
    aTP_Lamp_se: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_986,type,
    aTP_Lamp_sf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_987,type,
    aTP_Lamp_sg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_988,type,
    aTP_Lamp_sh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_989,type,
    aTP_Lamp_si: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_990,type,
    aTP_Lamp_sj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_991,type,
    aTP_Lamp_sk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_992,type,
    aTP_Lamp_sl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_993,type,
    aTP_Lamp_sm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_994,type,
    aTP_Lamp_sn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_995,type,
    aTP_Lamp_so: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_996,type,
    aTP_Lamp_sp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_997,type,
    aTP_Lamp_sq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_998,type,
    aTP_Lamp_sr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_999,type,
    aTP_Lamp_ss: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1000,type,
    aTP_Lamp_st: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1001,type,
    aTP_Lamp_su: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1002,type,
    aTP_Lamp_sv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1003,type,
    aTP_Lamp_sw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1004,type,
    aTP_Lamp_sx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1005,type,
    aTP_Lamp_sy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1006,type,
    aTP_Lamp_sz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1007,type,
    aTP_Lamp_ta: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1008,type,
    aTP_Lamp_tb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1009,type,
    aTP_Lamp_tc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1010,type,
    aTP_Lamp_td: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1011,type,
    aTP_Lamp_te: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1012,type,
    aTP_Lamp_tf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1013,type,
    aTP_Lamp_tg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1014,type,
    aTP_Lamp_th: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1015,type,
    aTP_Lamp_ti: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1016,type,
    aTP_Lamp_tj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1017,type,
    aTP_Lamp_tk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1018,type,
    aTP_Lamp_tl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1019,type,
    aTP_Lamp_tm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1020,type,
    aTP_Lamp_tn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1021,type,
    aTP_Lamp_to: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1022,type,
    aTP_Lamp_tp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1023,type,
    aTP_Lamp_tq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1024,type,
    aTP_Lamp_tr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1025,type,
    aTP_Lamp_ts: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1026,type,
    aTP_Lamp_tt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1027,type,
    aTP_Lamp_tu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1028,type,
    aTP_Lamp_tv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1029,type,
    aTP_Lamp_tw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1030,type,
    aTP_Lamp_tx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1031,type,
    aTP_Lamp_ty: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1032,type,
    aTP_Lamp_tz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1033,type,
    aTP_Lamp_ua: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1034,type,
    aTP_Lamp_ub: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1035,type,
    aTP_Lamp_uc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1036,type,
    aTP_Lamp_ud: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1037,type,
    aTP_Lamp_ue: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1038,type,
    aTP_Lamp_uf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1039,type,
    aTP_Lamp_ug: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1040,type,
    aTP_Lamp_uh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1041,type,
    aTP_Lamp_ui: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1042,type,
    aTP_Lamp_uj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1043,type,
    aTP_Lamp_uk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1044,type,
    aTP_Lamp_ul: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1045,type,
    aTP_Lamp_um: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1046,type,
    aTP_Lamp_un: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1047,type,
    aTP_Lamp_uo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1048,type,
    aTP_Lamp_up: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1049,type,
    aTP_Lamp_uq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1050,type,
    aTP_Lamp_ur: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1051,type,
    aTP_Lamp_us: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1052,type,
    aTP_Lamp_ut: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1053,type,
    aTP_Lamp_uu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1054,type,
    aTP_Lamp_uv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1055,type,
    aTP_Lamp_uw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1056,type,
    aTP_Lamp_ux: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1057,type,
    aTP_Lamp_uy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1058,type,
    aTP_Lamp_uz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1059,type,
    aTP_Lamp_va: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1060,type,
    aTP_Lamp_vb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1061,type,
    aTP_Lamp_vc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1062,type,
    aTP_Lamp_vd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1063,type,
    aTP_Lamp_ve: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1064,type,
    aTP_Lamp_vf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1065,type,
    aTP_Lamp_vg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1066,type,
    aTP_Lamp_vh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1067,type,
    aTP_Lamp_vi: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1068,type,
    aTP_Lamp_vj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1069,type,
    aTP_Lamp_vk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1070,type,
    aTP_Lamp_vl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1071,type,
    aTP_Lamp_vm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1072,type,
    aTP_Lamp_vn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1073,type,
    aTP_Lamp_vo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1074,type,
    aTP_Lamp_vp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1075,type,
    aTP_Lamp_vq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1076,type,
    aTP_Lamp_vr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1077,type,
    aTP_Lamp_vs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1078,type,
    aTP_Lamp_vt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1079,type,
    aTP_Lamp_vu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1080,type,
    aTP_Lamp_vv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1081,type,
    aTP_Lamp_vw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1082,type,
    aTP_Lamp_vx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1083,type,
    aTP_Lamp_vy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1084,type,
    aTP_Lamp_vz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1085,type,
    aTP_Lamp_wa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1086,type,
    aTP_Lamp_wb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1087,type,
    aTP_Lamp_wc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1088,type,
    aTP_Lamp_wd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1089,type,
    aTP_Lamp_we: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1090,type,
    aTP_Lamp_wf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1091,type,
    aTP_Lamp_wg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1092,type,
    aTP_Lamp_wh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1093,type,
    aTP_Lamp_wi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1094,type,
    aTP_Lamp_wj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1095,type,
    aTP_Lamp_wk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1096,type,
    aTP_Lamp_wl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1097,type,
    aTP_Lamp_wm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1098,type,
    aTP_Lamp_wn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1099,type,
    aTP_Lamp_wo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1100,type,
    aTP_Lamp_wp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1101,type,
    aTP_Lamp_wq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1102,type,
    aTP_Lamp_wr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1103,type,
    aTP_Lamp_ws: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1104,type,
    aTP_Lamp_wt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1105,type,
    aTP_Lamp_wu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1106,type,
    aTP_Lamp_wv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1107,type,
    aTP_Lamp_ww: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1108,type,
    aTP_Lamp_wx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1109,type,
    aTP_Lamp_wy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1110,type,
    aTP_Lamp_wz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1111,type,
    aTP_Lamp_xa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1112,type,
    aTP_Lamp_xb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1113,type,
    aTP_Lamp_xc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1114,type,
    aTP_Lamp_xd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1115,type,
    aTP_Lamp_xe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1116,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1117,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1118,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1119,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1120,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1121,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1122,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1123,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1124,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1125,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1126,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1127,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1128,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1129,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1130,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1131,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1132,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1133,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1134,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1135,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1136,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1137,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1138,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1139,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1140,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1141,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1142,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1143,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1144,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1145,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1146,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1147,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1148,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1149,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1150,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1151,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1152,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1153,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1154,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1155,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1156,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1157,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1158,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1159,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1160,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1161,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1162,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1163,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1164,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1165,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1166,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1167,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1168,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1169,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1170,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1171,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1172,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1173,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1174,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1175,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1176,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1177,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1178,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1179,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1180,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1181,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1182,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1183,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1184,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1185,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1186,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1187,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1188,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1189,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1190,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1191,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1192,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1193,type,
    bNF_Cardinal_Csum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1194,type,
    bNF_Cardinal_cexp: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(fun(X1,X0),fun(X1,X0))) ) ).

tff(func_def_1195,type,
    bNF_Cardinal_cone: set(product_prod(product_unit,product_unit)) ).

tff(func_def_1196,type,
    bNF_Cardinal_cprod: 
      !>[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_1197,type,
    bNF_Cardinal_csum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(sum_sum(X0,X1),sum_sum(X0,X1))) ) ).

tff(func_def_1198,type,
    bNF_Cardinal_ctwo: set(product_prod($o,$o)) ).

tff(func_def_1199,type,
    bNF_Cardinal_czero: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1200,type,
    bNF_Ca8387033319878233205ardSuc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1201,type,
    bNF_Ca6860139660246222851ard_of: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1202,type,
    bNF_Ca8970107618336181345der_on: 
      !>[X0: $tType] : ( set(X0) > fun(set(product_prod(X0,X0)),$o) ) ).

tff(func_def_1203,type,
    bNF_Ca6246979054910435723ardSuc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(set(product_prod(set(X0),set(X0))),$o) ) ).

tff(func_def_1204,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_1205,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_1206,type,
    bNF_id_bnf: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1207,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1208,type,
    bNF_Grp: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_1209,type,
    bNF_collect: 
      !>[X0: $tType,X1: $tType] : ( set(fun(X0,set(X1))) > fun(X0,set(X1)) ) ).

tff(func_def_1210,type,
    bNF_convol: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X0,X2),fun(X0,product_prod(X1,X2)))) ).

tff(func_def_1211,type,
    bNF_eq_onp: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1212,type,
    bNF_fstOp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) ) > fun(product_prod(X0,X2),product_prod(X0,X1)) ) ).

tff(func_def_1213,type,
    bNF_pick_middlep: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) * X0 * X2 ) > X1 ) ).

tff(func_def_1214,type,
    bNF_rel_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,fun(X3,$o)) ) > fun(fun(X0,X2),fun(fun(X1,X3),$o)) ) ).

tff(func_def_1215,type,
    bNF_rel_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(set(X0),fun(set(X1),$o)) ) ).

tff(func_def_1216,type,
    bNF_rel_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,fun(X3,$o)) ) > fun(sum_sum(X0,X2),fun(sum_sum(X1,X3),$o)) ) ).

tff(func_def_1217,type,
    bNF_sndOp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) ) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1218,type,
    bNF_vimage2p: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(fun(X1,fun(X3,X4)),fun(X0,fun(X2,X4))) ) ).

tff(func_def_1219,type,
    bNF_Greatest_Shift: 
      !>[X0: $tType] : ( ( set(list(X0)) * X0 ) > set(list(X0)) ) ).

tff(func_def_1220,type,
    bNF_Greatest_Succ: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) ) > set(X0) ) ).

tff(func_def_1221,type,
    bNF_Gr5436034075474128252omCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * X1 ) > X0 ) ).

tff(func_def_1222,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_1223,type,
    bNF_Gr4221423524335903396lImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1224,type,
    bNF_Gr7122648621184425601vImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1225,type,
    bNF_Greatest_toCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > fun(X0,X1) ) ).

tff(func_def_1226,type,
    bNF_Gr1419584066657907630d_pred: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > fun(fun(X0,X1),$o) ) ).

tff(func_def_1227,type,
    bNF_Greatest_univ: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1228,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_1229,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_1230,type,
    bNF_Wellorder_curr: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X0) > fun(fun(product_prod(X0,X1),X2),fun(X0,fun(X1,X2))) ) ).

tff(func_def_1231,type,
    bNF_We2720479622203943262_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1232,type,
    bNF_We413866401316099525erIncl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1233,type,
    bNF_Wellorder_ordIso: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_1234,type,
    bNF_Wellorder_ordLeq: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_1235,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_1236,type,
    bNF_We8469521843155493636filter: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(set(product_prod(X0,X0)),set(X0)) ) ).

tff(func_def_1237,type,
    bNF_Wellorder_embed: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > fun(fun(X0,X1),$o) ) ).

tff(func_def_1238,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_1239,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_1240,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1241,type,
    bNF_Wellorder_wo_suc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1242,type,
    basic_BNF_ctor_rec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1243,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) ) > fun(product_prod(X0,X1),nat) ) ).

tff(func_def_1244,type,
    basic_BNF_size_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) ) > fun(sum_sum(X0,X1),nat) ) ).

tff(func_def_1245,type,
    basic_BNF_xtor: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1246,type,
    basic_fsts: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),set(X0)) ).

tff(func_def_1247,type,
    basic_fstsp: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > fun(X0,$o) ) ).

tff(func_def_1248,type,
    basic_pred_fun: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,$o) > fun(fun(X1,$o),fun(fun(X0,X1),$o)) ) ).

tff(func_def_1249,type,
    basic_pred_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) ) > fun(product_prod(X0,X1),$o) ) ).

tff(func_def_1250,type,
    basic_rel_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,fun(X3,$o)) ) > fun(product_prod(X0,X2),fun(product_prod(X1,X3),$o)) ) ).

tff(func_def_1251,type,
    basic_setl: 
      !>[X0: $tType,X1: $tType] : fun(sum_sum(X0,X1),set(X0)) ).

tff(func_def_1252,type,
    basic_setlp: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,X1) > fun(X0,$o) ) ).

tff(func_def_1253,type,
    basic_setr: 
      !>[X0: $tType,X1: $tType] : fun(sum_sum(X0,X1),set(X1)) ).

tff(func_def_1254,type,
    basic_setrp: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,X1) > fun(X1,$o) ) ).

tff(func_def_1255,type,
    basic_snds: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X1) ) ).

tff(func_def_1256,type,
    basic_sndsp: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > fun(X1,$o) ) ).

tff(func_def_1257,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_1258,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1259,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1260,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_1261,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1262,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1263,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1264,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1265,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1266,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1267,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1268,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1269,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1270,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1271,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1272,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1273,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1274,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1275,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_1276,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_1277,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1278,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1279,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1280,type,
    code_dup: fun(code_integer,code_integer) ).

tff(func_def_1281,type,
    code_int_of_integer: fun(code_integer,int) ).

tff(func_def_1282,type,
    code_integer_of_int: fun(int,code_integer) ).

tff(func_def_1283,type,
    code_integer_of_nat: nat > code_integer ).

tff(func_def_1284,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_1285,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_1286,type,
    code_case_natural: 
      !>[X0: $tType] : ( ( X0 * fun(code_natural,X0) ) > fun(code_natural,X0) ) ).

tff(func_def_1287,type,
    code_nat_of_natural: fun(code_natural,nat) ).

tff(func_def_1288,type,
    code_natural_of_nat: fun(nat,code_natural) ).

tff(func_def_1289,type,
    code_rec_natural: 
      !>[X0: $tType] : ( ( X0 * fun(code_natural,fun(X0,X0)) ) > fun(code_natural,X0) ) ).

tff(func_def_1290,type,
    code_rec_set_natural: 
      !>[X0: $tType] : ( ( X0 * fun(code_natural,fun(X0,X0)) * code_natural ) > fun(X0,$o) ) ).

tff(func_def_1291,type,
    code_negative: fun(num,code_integer) ).

tff(func_def_1292,type,
    code_num_of_integer: fun(code_integer,num) ).

tff(func_def_1293,type,
    code_pcr_integer: fun(int,fun(code_integer,$o)) ).

tff(func_def_1294,type,
    code_sub: fun(num,fun(num,code_integer)) ).

tff(func_def_1295,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1296,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1297,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_1298,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1299,type,
    condit16957441358409770ng_bdd: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),$o) ) ).

tff(func_def_1300,type,
    from_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1301,type,
    nat_to_rat_surj: fun(nat,rat) ).

tff(func_def_1302,type,
    nth_item: 
      !>[X0: $tType] : ( nat > set(old_node(X0,product_unit)) ) ).

tff(func_def_1303,type,
    nth_item_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1304,type,
    to_nat: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1305,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1306,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1307,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1308,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1309,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > fun(X0,set(X1)) ) ).

tff(func_def_1310,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_1311,type,
    euclid6346220572633701492n_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1312,type,
    euclid7384307370059645450egment: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1313,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1314,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1315,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1316,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1317,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1318,type,
    cofinite: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1319,type,
    abs_filter: 
      !>[X0: $tType] : ( fun(fun(X0,$o),$o) > filter(X0) ) ).

tff(func_def_1320,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1321,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1322,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_1323,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1324,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_1325,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1326,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1327,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1328,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1329,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1330,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > fun(X1,$o) ) ).

tff(func_def_1331,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1332,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).

tff(func_def_1333,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1334,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1335,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_1336,type,
    override_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_1337,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X1,X0) ) ).

tff(func_def_1338,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1339,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1340,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1341,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1342,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1343,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1344,type,
    fun_rp_inv_image: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(fun(X1,X0),product_prod(set(product_prod(X1,X1)),set(product_prod(X1,X1))))) ).

tff(func_def_1345,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1346,type,
    gcd_Lcm: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1347,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1348,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1349,type,
    bounde2362111253966948842tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).

tff(func_def_1350,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1351,type,
    gcd_lcm: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1352,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1353,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1354,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1355,type,
    semiring_gcd_Lcm_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1356,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1357,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1358,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1359,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1360,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1361,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1362,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1363,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1364,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1365,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1366,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1367,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1368,type,
    groups_comm_monoid_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(fun(X1,X0),fun(set(X1),X0)) ) ).

tff(func_def_1369,type,
    groups_comm_monoid_G: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(fun(X1,X0),fun(set(X1),X0)) ) ).

tff(func_def_1370,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_1371,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1372,type,
    groups_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(list(X0),X0) ) ).

tff(func_def_1373,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1374,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1375,type,
    default_default: 
      !>[X0: $tType] : X0 ).

tff(func_def_1376,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1377,type,
    heap_Time_Heap2: 
      !>[X0: $tType] : fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),heap_Time_Heap(X0)) ).

tff(func_def_1378,type,
    heap_Time_case_Heap: 
      !>[X0: $tType,X1: $tType] : fun(fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),X1),fun(heap_Time_Heap(X0),X1)) ).

tff(func_def_1379,type,
    heap_Time_map_Heap: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(heap_Time_Heap(X0),heap_Time_Heap(X1))) ).

tff(func_def_1380,type,
    heap_Time_pred_Heap: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(heap_Time_Heap(X0),$o)) ).

tff(func_def_1381,type,
    heap_Time_rec_Heap: 
      !>[X0: $tType,X1: $tType] : fun(fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),X1),fun(heap_Time_Heap(X0),X1)) ).

tff(func_def_1382,type,
    heap_Time_rel_Heap: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,$o)),fun(heap_Time_Heap(X0),fun(heap_Time_Heap(X1),$o))) ).

tff(func_def_1383,type,
    heap_Time_set_Heap: 
      !>[X0: $tType] : fun(heap_Time_Heap(X0),set(X0)) ).

tff(func_def_1384,type,
    heap_Time_size_Heap: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(heap_Time_Heap(X0),nat) ) ).

tff(func_def_1385,type,
    heap_Time_assert: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > heap_Time_Heap(X0) ) ).

tff(func_def_1386,type,
    heap_Time_bind: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) ) > heap_Time_Heap(X1) ) ).

tff(func_def_1387,type,
    heap_Time_execute: 
      !>[X0: $tType] : ( heap_Time_Heap(X0) > fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) ) ).

tff(func_def_1388,type,
    heap_Time_guard: 
      !>[X0: $tType] : ( ( fun(heap_ext(product_unit),$o) * fun(heap_ext(product_unit),product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1389,type,
    heap_Time_heap: 
      !>[X0: $tType] : ( fun(heap_ext(product_unit),product_prod(X0,product_prod(heap_ext(product_unit),nat))) > heap_Time_Heap(X0) ) ).

tff(func_def_1390,type,
    heap_Time_raise: 
      !>[X0: $tType] : ( list(char) > heap_Time_Heap(X0) ) ).

tff(func_def_1391,type,
    heap_Time_return: 
      !>[X0: $tType] : fun(X0,heap_Time_Heap(X0)) ).

tff(func_def_1392,type,
    heap_Time_tap: 
      !>[X0: $tType] : ( fun(heap_ext(product_unit),X0) > heap_Time_Heap(X0) ) ).

tff(func_def_1393,type,
    heap_Time_timeFrame: 
      !>[X0: $tType] : ( ( nat * option(product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) > option(product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) ).

tff(func_def_1394,type,
    heap_T5500966940807335491me_rel: 
      !>[X0: $tType] : fun(product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),fun(product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),$o)) ).

tff(func_def_1395,type,
    heap_Time_ureturn: 
      !>[X0: $tType] : fun(X0,heap_Time_Heap(X0)) ).

tff(func_def_1396,type,
    heap_Time_wait: nat > heap_Time_Heap(product_unit) ).

tff(func_def_1397,type,
    hilbert_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X1,X0) ) ).

tff(func_def_1398,type,
    if: 
      !>[X0: $tType] : fun($o,fun(X0,fun(X0,X0))) ).

tff(func_def_1399,type,
    complete_lattice_gfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1400,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1401,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1402,type,
    neg: num > int ).

tff(func_def_1403,type,
    pos: fun(num,int) ).

tff(func_def_1404,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1405,type,
    cr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_1406,type,
    dup: int > int ).

tff(func_def_1407,type,
    abs_int: fun(set(product_prod(nat,nat)),int) ).

tff(func_def_1408,type,
    rep_int: fun(int,set(product_prod(nat,nat))) ).

tff(func_def_1409,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1410,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1411,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1412,type,
    nat2: fun(int,nat) ).

tff(func_def_1413,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_1414,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1415,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1416,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1417,type,
    sub: ( num * num ) > int ).

tff(func_def_1418,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1419,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1420,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1421,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1422,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1423,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1424,type,
    lattices_ord_arg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1425,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1426,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_1427,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1428,type,
    lattic5214292709420241887eutr_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_1429,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1430,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1431,type,
    bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1432,type,
    abort_Bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1433,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1434,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1435,type,
    arg_min_list_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),$o)) ).

tff(func_def_1436,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1437,type,
    butlast: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1438,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1439,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_1440,type,
    count_list: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_1441,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1442,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1443,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1444,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1445,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1446,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1447,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1448,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1449,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1450,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1451,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1452,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1453,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1454,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1455,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1456,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * X1 ) > fun(list(X1),list(X1)) ) ).

tff(func_def_1457,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1458,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1459,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).

tff(func_def_1460,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_1461,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_1462,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_1463,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1464,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) ) > fun(list(X1),X0) ) ).

tff(func_def_1465,type,
    hd: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1466,type,
    list_all: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),$o) ) ).

tff(func_def_1467,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1468,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_1469,type,
    rec_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) ) > fun(list(X1),X0) ) ).

tff(func_def_1470,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1471,type,
    size_list: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(list(X0),nat) ) ).

tff(func_def_1472,type,
    tl: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1473,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1474,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1475,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1476,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1477,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_1478,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1479,type,
    map_project: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1480,type,
    map_tailrec_rev: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_1481,type,
    map_tailrec_rev_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,X1),product_prod(list(X0),list(X1))),$o)) ).

tff(func_def_1482,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1483,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1484,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1485,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1486,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1487,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1488,type,
    lexordp2: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(list(X0),fun(list(X0),$o)) ) ).

tff(func_def_1489,type,
    lexordp_eq: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(list(X0),fun(list(X0),$o)) ) ).

tff(func_def_1490,type,
    ord_lexordp: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1491,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1492,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1493,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1494,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1495,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1496,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1497,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1498,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1499,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1500,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1501,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1502,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1503,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1504,type,
    sorted_wrt_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o)) ).

tff(func_def_1505,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1506,type,
    splice_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1507,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1508,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1509,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1510,type,
    those: 
      !>[X0: $tType] : ( list(option(X0)) > option(list(X0)) ) ).

tff(func_def_1511,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1512,type,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),$o)) ).

tff(func_def_1513,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1514,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1515,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1516,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1517,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1518,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1519,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_1520,type,
    map_comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,option(X1)) * fun(X2,option(X0)) * X2 ) > option(X1) ) ).

tff(func_def_1521,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1522,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1523,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1524,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1525,type,
    suc: fun(nat,nat) ).

tff(func_def_1526,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1527,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1528,type,
    case_nat: 
      !>[X0: $tType] : fun(X0,fun(fun(nat,X0),fun(nat,X0))) ).

tff(func_def_1529,type,
    pred2: nat > nat ).

tff(func_def_1530,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1531,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1532,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1533,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1534,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1535,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1536,type,
    nat_int_decode: nat > int ).

tff(func_def_1537,type,
    nat_list_decode: nat > list(nat) ).

tff(func_def_1538,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1539,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1540,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1541,type,
    nat_prod_decode: fun(nat,product_prod(nat,nat)) ).

tff(func_def_1542,type,
    nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).

tff(func_def_1543,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1544,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1545,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1546,type,
    nat_set_encode: set(nat) > nat ).

tff(func_def_1547,type,
    nat_sum_decode: nat > sum_sum(nat,nat) ).

tff(func_def_1548,type,
    nat_sum_encode: sum_sum(nat,nat) > nat ).

tff(func_def_1549,type,
    nat_triangle: nat > nat ).

tff(func_def_1550,type,
    bitM: num > num ).

tff(func_def_1551,type,
    inc: num > num ).

tff(func_def_1552,type,
    nat_of_num: num > nat ).

tff(func_def_1553,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1554,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1555,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1556,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1557,type,
    bit0: num > num ).

tff(func_def_1558,type,
    bit1: fun(num,num) ).

tff(func_def_1559,type,
    one2: num ).

tff(func_def_1560,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1561,type,
    size_num: num > nat ).

tff(func_def_1562,type,
    num_of_nat: fun(nat,num) ).

tff(func_def_1563,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1564,type,
    pow: ( num * num ) > num ).

tff(func_def_1565,type,
    pred_numeral: num > nat ).

tff(func_def_1566,type,
    old_Atom: 
      !>[X0: $tType,X1: $tType] : fun(sum_sum(X0,nat),set(old_node(X0,X1))) ).

tff(func_def_1567,type,
    old_Case: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(set(old_node(X0,X1)),X2) * fun(set(old_node(X0,X1)),X2) * set(old_node(X0,X1)) ) > X2 ) ).

tff(func_def_1568,type,
    old_In0: 
      !>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).

tff(func_def_1569,type,
    old_In1: 
      !>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).

tff(func_def_1570,type,
    old_Leaf: 
      !>[X0: $tType,X1: $tType] : fun(X0,set(old_node(X0,X1))) ).

tff(func_def_1571,type,
    old_Lim: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,set(old_node(X1,X0))) > set(old_node(X1,X0)) ) ).

tff(func_def_1572,type,
    old_Node: 
      !>[X0: $tType,X1: $tType] : set(product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat))) ).

tff(func_def_1573,type,
    old_Numb: 
      !>[X0: $tType,X1: $tType] : fun(nat,set(old_node(X0,X1))) ).

tff(func_def_1574,type,
    old_Push: 
      !>[X0: $tType] : fun(sum_sum(X0,nat),fun(fun(nat,sum_sum(X0,nat)),fun(nat,sum_sum(X0,nat)))) ).

tff(func_def_1575,type,
    old_Push_Node: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,nat) > fun(old_node(X1,X0),old_node(X1,X0)) ) ).

tff(func_def_1576,type,
    old_Scons: 
      !>[X0: $tType,X1: $tType] : ( ( set(old_node(X0,X1)) * set(old_node(X0,X1)) ) > set(old_node(X0,X1)) ) ).

tff(func_def_1577,type,
    old_Split: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(set(old_node(X0,X1)),fun(set(old_node(X0,X1)),X2)) > fun(set(old_node(X0,X1)),X2) ) ).

tff(func_def_1578,type,
    old_dprod: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(set(old_node(X0,X1)),set(old_node(X0,X1)))) * set(product_prod(set(old_node(X0,X1)),set(old_node(X0,X1)))) ) > set(product_prod(set(old_node(X0,X1)),set(old_node(X0,X1)))) ) ).

tff(func_def_1579,type,
    old_dsum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(set(old_node(X0,X1)),set(old_node(X0,X1)))) * set(product_prod(set(old_node(X0,X1)),set(old_node(X0,X1)))) ) > set(product_prod(set(old_node(X0,X1)),set(old_node(X0,X1)))) ) ).

tff(func_def_1580,type,
    old_ndepth: 
      !>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > nat ) ).

tff(func_def_1581,type,
    old_Abs_Node: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat)) > old_node(X1,X0) ) ).

tff(func_def_1582,type,
    old_Rep_Node: 
      !>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) ) ).

tff(func_def_1583,type,
    old_ntrunc: 
      !>[X0: $tType,X1: $tType] : ( nat > fun(set(old_node(X0,X1)),set(old_node(X0,X1))) ) ).

tff(func_def_1584,type,
    old_uprod: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(old_node(X0,X1))) * set(set(old_node(X0,X1))) ) > set(set(old_node(X0,X1))) ) ).

tff(func_def_1585,type,
    old_usum: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(old_node(X0,X1))) * set(set(old_node(X0,X1))) ) > set(set(old_node(X0,X1))) ) ).

tff(func_def_1586,type,
    bind2: 
      !>[X0: $tType,X1: $tType] : fun(option(X0),fun(fun(X0,option(X1)),option(X1))) ).

tff(func_def_1587,type,
    combine_options: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) ) > option(X0) ) ).

tff(func_def_1588,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1589,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1590,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(fun(X1,X0),fun(option(X1),X0))) ).

tff(func_def_1591,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(option(X0),option(X1))) ).

tff(func_def_1592,type,
    pred_option: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(option(X0),$o)) ).

tff(func_def_1593,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(fun(X1,X0),fun(option(X1),X0))) ).

tff(func_def_1594,type,
    rel_option: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,$o)),fun(option(X0),fun(option(X1),$o))) ).

tff(func_def_1595,type,
    set_option: 
      !>[X0: $tType] : fun(option(X0),set(X0)) ).

tff(func_def_1596,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1597,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1598,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1599,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1600,type,
    order_AboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1601,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1602,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1603,type,
    order_above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1604,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1605,type,
    order_relation_of: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1606,type,
    order_under: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,set(X0)) ) ).

tff(func_def_1607,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1608,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1609,type,
    least: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1610,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1611,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1612,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1613,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1614,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1615,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1616,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1617,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1618,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1619,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1620,type,
    partial_img_ord: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X1,fun(X1,X2)) * X0 * X0 ) > X2 ) ).

tff(func_def_1621,type,
    power2: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) * X0 * nat ) > X0 ) ).

tff(func_def_1622,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1623,type,
    seq2: 
      !>[X0: $tType] : ( fun(product_unit,seq(X0)) > pred(X0) ) ).

tff(func_def_1624,type,
    adjunct: 
      !>[X0: $tType] : ( ( pred(X0) * seq(X0) ) > seq(X0) ) ).

tff(func_def_1625,type,
    apply: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,pred(X1)) * seq(X0) ) > seq(X1) ) ).

tff(func_def_1626,type,
    bind3: 
      !>[X0: $tType,X1: $tType] : ( ( pred(X0) * fun(X0,pred(X1)) ) > pred(X1) ) ).

tff(func_def_1627,type,
    iterate_upto: 
      !>[X0: $tType] : ( ( fun(code_natural,X0) * code_natural * code_natural ) > pred(X0) ) ).

tff(func_def_1628,type,
    iterate_upto_rel: 
      !>[X0: $tType] : fun(product_prod(fun(code_natural,X0),product_prod(code_natural,code_natural)),fun(product_prod(fun(code_natural,X0),product_prod(code_natural,code_natural)),$o)) ).

tff(func_def_1629,type,
    map2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(pred(X0),pred(X1)) ) ).

tff(func_def_1630,type,
    case_pred: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,$o),X1) * pred(X0) ) > X1 ) ).

tff(func_def_1631,type,
    eval: 
      !>[X0: $tType] : fun(pred(X0),fun(X0,$o)) ).

tff(func_def_1632,type,
    pred_of_seq: 
      !>[X0: $tType] : fun(seq(X0),pred(X0)) ).

tff(func_def_1633,type,
    empty: 
      !>[X0: $tType] : seq(X0) ).

tff(func_def_1634,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * pred(X0) ) > seq(X0) ) ).

tff(func_def_1635,type,
    join: 
      !>[X0: $tType] : ( ( pred(X0) * seq(X0) ) > seq(X0) ) ).

tff(func_def_1636,type,
    case_seq: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(pred(X1),X0)) * fun(pred(X1),fun(seq(X1),X0)) * seq(X1) ) > X0 ) ).

tff(func_def_1637,type,
    set_of_pred: 
      !>[X0: $tType] : fun(pred(X0),set(X0)) ).

tff(func_def_1638,type,
    set_of_seq: 
      !>[X0: $tType] : fun(seq(X0),set(X0)) ).

tff(func_def_1639,type,
    single: 
      !>[X0: $tType] : fun(X0,pred(X0)) ).

tff(func_def_1640,type,
    the3: 
      !>[X0: $tType] : ( pred(X0) > X0 ) ).

tff(func_def_1641,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1642,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1643,type,
    product_Unity: product_unit ).

tff(func_def_1644,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1645,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))) ).

tff(func_def_1646,type,
    product_curry: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).

tff(func_def_1647,type,
    produc5280177257484947105e_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).

tff(func_def_1648,type,
    product_map_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(product_prod(X0,X2),product_prod(X1,X3)) ) ).

tff(func_def_1649,type,
    product_rec_bool: 
      !>[X0: $tType] : ( ( X0 * X0 * $o ) > X0 ) ).

tff(func_def_1650,type,
    product_rec_set_bool: 
      !>[X0: $tType] : ( ( X0 * X0 * $o ) > fun(X0,$o) ) ).

tff(func_def_1651,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1652,type,
    product_rec_set_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > fun(X2,$o) ) ).

tff(func_def_1653,type,
    product_rec_set_unit: 
      !>[X0: $tType] : ( ( X0 * product_unit ) > fun(X0,$o) ) ).

tff(func_def_1654,type,
    product_rec_unit: 
      !>[X0: $tType] : ( ( X0 * product_unit ) > X0 ) ).

tff(func_def_1655,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_1656,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1657,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1658,type,
    product_swap: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),product_prod(X1,X0)) ).

tff(func_def_1659,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1660,type,
    product_scomp: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(X1,fun(X2,X3)) ) > fun(X0,X3) ) ).

tff(func_def_1661,type,
    product_case_unit: 
      !>[X0: $tType] : ( ( X0 * product_unit ) > X0 ) ).

tff(func_def_1662,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_1663,type,
    quot_abs: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(set(X0),X1) ) > fun(X0,X1) ) ).

tff(func_def_1664,type,
    quot_rep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,set(X1)) > fun(X0,X1) ) ).

tff(func_def_1665,type,
    iterate: 
      !>[X0: $tType,X1: $tType] : ( ( code_natural * fun(X0,fun(X1,product_prod(X0,X1))) ) > fun(X0,fun(X1,product_prod(X0,X1))) ) ).

tff(func_def_1666,type,
    iterate_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(code_natural,product_prod(fun(X0,fun(X1,product_prod(X0,X1))),X0)),fun(product_prod(code_natural,product_prod(fun(X0,fun(X1,product_prod(X0,X1))),X0)),$o)) ).

tff(func_def_1667,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1668,type,
    log_rel: fun(product_prod(code_natural,code_natural),fun(product_prod(code_natural,code_natural),$o)) ).

tff(func_def_1669,type,
    pick: 
      !>[X0: $tType] : ( list(product_prod(code_natural,X0)) > fun(code_natural,X0) ) ).

tff(func_def_1670,type,
    range: code_natural > fun(product_prod(code_natural,code_natural),product_prod(code_natural,product_prod(code_natural,code_natural))) ).

tff(func_def_1671,type,
    select: 
      !>[X0: $tType] : ( list(X0) > fun(product_prod(code_natural,code_natural),product_prod(X0,product_prod(code_natural,code_natural))) ) ).

tff(func_def_1672,type,
    select_weight: 
      !>[X0: $tType] : ( list(product_prod(code_natural,X0)) > fun(product_prod(code_natural,code_natural),product_prod(X0,product_prod(code_natural,code_natural))) ) ).

tff(func_def_1673,type,
    split_seed: product_prod(code_natural,code_natural) > product_prod(product_prod(code_natural,code_natural),product_prod(code_natural,code_natural)) ).

tff(func_def_1674,type,
    random_Random: 
      !>[X0: $tType] : ( fun(product_prod(code_natural,code_natural),product_prod(product_prod(X0,fun(product_unit,code_term)),product_prod(code_natural,code_natural))) > fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) ) ).

tff(func_def_1675,type,
    random_bind: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) * fun(X0,fun(product_prod(code_natural,code_natural),product_prod(pred(X1),product_prod(code_natural,code_natural)))) ) > fun(product_prod(code_natural,code_natural),product_prod(pred(X1),product_prod(code_natural,code_natural))) ) ).

tff(func_def_1676,type,
    random_empty: 
      !>[X0: $tType] : fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) ).

tff(func_def_1677,type,
    random_iterate_upto: 
      !>[X0: $tType] : ( ( fun(code_natural,X0) * code_natural * code_natural ) > fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) ) ).

tff(func_def_1678,type,
    random_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) ) > fun(product_prod(code_natural,code_natural),product_prod(pred(X1),product_prod(code_natural,code_natural))) ) ).

tff(func_def_1679,type,
    random6974930770145893639ompred: ( fun(product_prod(code_natural,code_natural),product_prod(pred(product_unit),product_prod(code_natural,code_natural))) * product_prod(code_natural,code_natural) ) > product_prod(pred(product_unit),product_prod(code_natural,code_natural)) ).

tff(func_def_1680,type,
    random_single: 
      !>[X0: $tType] : fun(X0,fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural)))) ).

tff(func_def_1681,type,
    random_union: 
      !>[X0: $tType] : ( ( fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) * fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) * product_prod(code_natural,code_natural) ) > product_prod(pred(X0),product_prod(code_natural,code_natural)) ) ).

tff(func_def_1682,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_1683,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_1684,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1685,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1686,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1687,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : fun(rat,X0) ).

tff(func_def_1688,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1689,type,
    of_int: int > rat ).

tff(func_def_1690,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_1691,type,
    positive: fun(rat,$o) ).

tff(func_def_1692,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1693,type,
    abs_rat: fun(set(product_prod(int,int)),rat) ).

tff(func_def_1694,type,
    rep_rat: fun(rat,set(product_prod(int,int))) ).

tff(func_def_1695,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1696,type,
    tuple_1188178415141063261rphism: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(product_prod(X1,X2),X0) ) > tuple_isomorphism(X0,X1,X2) ) ).

tff(func_def_1697,type,
    tuple_9181185373184732606rphism: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * fun(X2,nat) * tuple_isomorphism(X0,X1,X2) ) > nat ) ).

tff(func_def_1698,type,
    domain: 
      !>[X0: $tType,X1: $tType] : fun(set(product_prod(X0,X1)),set(X0)) ).

tff(func_def_1699,type,
    domainp: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,$o)),fun(X0,$o)) ).

tff(func_def_1700,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1701,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1702,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1703,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > fun(set(X0),set(X1)) ) ).

tff(func_def_1704,type,
    range2: 
      !>[X0: $tType,X1: $tType] : fun(set(product_prod(X0,X1)),set(X1)) ).

tff(func_def_1705,type,
    rangep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,$o) ) ).

tff(func_def_1706,type,
    converse: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(X1,X0)) ) ).

tff(func_def_1707,type,
    conversep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,fun(X0,$o)) ) ).

tff(func_def_1708,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1709,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_1710,type,
    relcompp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,$o)),fun(fun(X1,fun(X2,$o)),fun(X0,fun(X2,$o)))) ).

tff(func_def_1711,type,
    divide_divide: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1712,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1713,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1714,type,
    normal6383669964737779283malize: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1715,type,
    unit_f5069060285200089521factor: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1716,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1717,type,
    ball: 
      !>[X0: $tType] : fun(set(X0),fun(fun(X0,$o),$o)) ).

tff(func_def_1718,type,
    bex: 
      !>[X0: $tType] : fun(set(X0),fun(fun(X0,$o),$o)) ).

tff(func_def_1719,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1720,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1721,type,
    bind4: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(X1) ) ).

tff(func_def_1722,type,
    disjnt: 
      !>[X0: $tType] : fun(set(X0),fun(set(X0),$o)) ).

tff(func_def_1723,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1724,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1725,type,
    insert2: 
      !>[X0: $tType] : ( X0 > fun(set(X0),set(X0)) ) ).

tff(func_def_1726,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1727,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X1),set(X0))) ).

tff(func_def_1728,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1729,type,
    set_fo1817059534552279752at_rel: 
      !>[X0: $tType] : fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),$o)) ).

tff(func_def_1730,type,
    set_ord_atLeast: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1731,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1732,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1733,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1734,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1735,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1736,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1737,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1738,type,
    literal2: fun($o,fun($o,fun($o,fun($o,fun($o,fun($o,fun($o,fun(literal,literal)))))))) ).

tff(func_def_1739,type,
    ascii_of: fun(char,char) ).

tff(func_def_1740,type,
    asciis_of_literal: literal > list(code_integer) ).

tff(func_def_1741,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1742,type,
    case_char: 
      !>[X0: $tType] : ( ( fun($o,fun($o,fun($o,fun($o,fun($o,fun($o,fun($o,fun($o,X0)))))))) * char ) > X0 ) ).

tff(func_def_1743,type,
    size_char: char > nat ).

tff(func_def_1744,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1745,type,
    cr_literal: fun(list(char),fun(literal,$o)) ).

tff(func_def_1746,type,
    abs_literal: fun(list(char),literal) ).

tff(func_def_1747,type,
    explode: fun(literal,list(char)) ).

tff(func_def_1748,type,
    literal_of_asciis: fun(list(code_integer),literal) ).

tff(func_def_1749,type,
    pcr_literal: fun(list(char),fun(literal,$o)) ).

tff(func_def_1750,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1751,type,
    sum_Inl: 
      !>[X0: $tType,X1: $tType] : fun(X0,sum_sum(X0,X1)) ).

tff(func_def_1752,type,
    sum_Inr: 
      !>[X0: $tType,X1: $tType] : fun(X0,sum_sum(X1,X0)) ).

tff(func_def_1753,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_1754,type,
    sum_map_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(sum_sum(X0,X2),sum_sum(X1,X3)) ) ).

tff(func_def_1755,type,
    sum_rec_set_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * sum_sum(X0,X2) ) > fun(X1,$o) ) ).

tff(func_def_1756,type,
    sum_rec_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * sum_sum(X0,X2) ) > X1 ) ).

tff(func_def_1757,type,
    sum_case_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X1),fun(sum_sum(X0,X2),X1))) ).

tff(func_def_1758,type,
    sum_projl: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,X1) > X0 ) ).

tff(func_def_1759,type,
    sum_projr: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,X1) > X1 ) ).

tff(func_def_1760,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1761,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1762,type,
    transitive_rtranclp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1763,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1764,type,
    transitive_tranclp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1765,type,
    typerep2: ( literal * list(typerep) ) > typerep ).

tff(func_def_1766,type,
    rec_typerep: 
      !>[X0: $tType] : ( ( fun(literal,fun(list(product_prod(typerep,X0)),X0)) * typerep ) > X0 ) ).

tff(func_def_1767,type,
    size_typerep: fun(typerep,nat) ).

tff(func_def_1768,type,
    acc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1769,type,
    accp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,$o) ) ).

tff(func_def_1770,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1771,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_1772,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_1773,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1774,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1775,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1776,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1777,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1778,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1779,type,
    cut: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(product_prod(X0,X0)) * X0 ) > fun(X0,X1) ) ).

tff(func_def_1780,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1781,type,
    chains: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(set(X0)) ) ).

tff(func_def_1782,type,
    chains2: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1783,type,
    init_seg_of: 
      !>[X0: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) ).

tff(func_def_1784,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_1785,type,
    pred_suc: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_1786,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1787,type,
    fAll: 
      !>[X0: $tType] : fun(fun(X0,$o),$o) ).

tff(func_def_1788,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1789,type,
    fNot: fun($o,$o) ).

tff(func_def_1790,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1791,type,
    member: 
      !>[X0: $tType] : ( X0 > fun(set(X0),$o) ) ).

tff(func_def_1792,type,
    p: fun(a,$o) ).

tff(func_def_1793,type,
    h: heap_ext(product_unit) ).

tff(func_def_1794,type,
    x: a ).

tff(func_def_1795,type,
    d0: int ).

tff(func_def_1796,type,
    m1: 
      !>[X0: $tType] : X0 ).

tff(func_def_1797,type,
    w2: 
      !>[X0: $tType] : X0 ).

tff(func_def_1798,type,
    m3: 
      !>[X0: $tType] : X0 ).

tff(func_def_1799,type,
    w4: 
      !>[X0: $tType] : X0 ).

tff(func_def_1800,type,
    l5: code_integer ).

tff(func_def_1801,type,
    k6: code_integer ).

tff(func_def_1802,type,
    pv7: nat ).

tff(func_def_1803,type,
    pv8: nat ).

tff(func_def_1804,type,
    k9: code_integer ).

tff(func_def_1805,type,
    a210: int ).

tff(func_def_1806,type,
    a211: int ).

tff(func_def_1807,type,
    l12: 
      !>[X0: $tType] : X0 ).

tff(func_def_1808,type,
    a313: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1809,type,
    m14: 
      !>[X0: $tType] : X0 ).

tff(func_def_1810,type,
    m15: 
      !>[X0: $tType] : X0 ).

tff(func_def_1811,type,
    m16: 
      !>[X0: $tType] : X0 ).

tff(func_def_1812,type,
    xss17: 
      !>[X0: $tType] : list(list(X0)) ).

tff(func_def_1813,type,
    m18: nat ).

tff(func_def_1814,type,
    m19: nat ).

tff(func_def_1815,type,
    l220: int ).

tff(func_def_1816,type,
    l221: num ).

tff(func_def_1817,type,
    l322: num ).

tff(func_def_1818,type,
    l223: nat ).

tff(func_def_1819,type,
    l324: nat ).

tff(func_def_1822,type,
    iG25: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1823,type,
    iG26: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1824,type,
    iG27: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1825,type,
    bG28: $o > $o ).

tff(func_def_1826,type,
    iG29: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_1827,type,
    bG30: $o > $o ).

tff(func_def_1828,type,
    iG31: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1829,type,
    iG32: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1830,type,
    iG33: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1831,type,
    iG34: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1832,type,
    iG35: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1833,type,
    iG36: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1834,type,
    iG37: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1835,type,
    iG38: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1836,type,
    iG39: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1837,type,
    bG40: $o > $o ).

tff(func_def_1838,type,
    bG41: $o > $o ).

tff(func_def_1839,type,
    bG42: $o > $o ).

tff(func_def_1840,type,
    bG43: $o > $o ).

tff(func_def_1841,type,
    bG44: $o > $o ).

tff(func_def_1842,type,
    bG45: $o > $o ).

tff(func_def_1843,type,
    bG46: $o > $o ).

tff(func_def_1844,type,
    bG47: $o > $o ).

tff(func_def_1845,type,
    bG48: $o > $o ).

tff(func_def_1846,type,
    bG49: $o > $o ).

tff(func_def_1847,type,
    bG50: $o > $o ).

tff(func_def_1848,type,
    bG51: $o > $o ).

tff(func_def_1849,type,
    bG52: $o > $o ).

tff(func_def_1850,type,
    bG53: $o > $o ).

tff(func_def_1851,type,
    bG54: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1852,type,
    bG55: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1853,type,
    iG56: int > int ).

tff(func_def_1854,type,
    iG57: ( nat * nat ) > int ).

tff(func_def_1855,type,
    iG58: int > int ).

tff(func_def_1856,type,
    iG59: int > int ).

tff(func_def_1857,type,
    iG60: ( $o * nat * nat ) > nat ).

tff(func_def_1858,type,
    iG61: ( $o * nat * nat ) > int ).

tff(func_def_1859,type,
    bG62: $o > $o ).

tff(func_def_1860,type,
    bG63: $o > $o ).

tff(func_def_1861,type,
    bG64: $o > $o ).

tff(func_def_1862,type,
    bG65: $o > $o ).

tff(func_def_1863,type,
    bG66: $o > $o ).

tff(func_def_1864,type,
    bG67: $o > $o ).

tff(func_def_1865,type,
    bG68: $o > $o ).

tff(func_def_1866,type,
    iG69: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_1867,type,
    iG70: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1868,type,
    bG71: int > $o ).

tff(func_def_1869,type,
    bG72: $o > $o ).

tff(func_def_1870,type,
    bG73: $o > $o ).

tff(func_def_1871,type,
    bG74: $o > $o ).

tff(func_def_1872,type,
    bG75: $o > $o ).

tff(func_def_1873,type,
    bG76: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1874,type,
    iG77: int > int ).

tff(func_def_1875,type,
    iG78: ( nat * nat ) > nat ).

tff(func_def_1876,type,
    bG79: ( $o * $o ) > $o ).

tff(func_def_1877,type,
    bG80: $o > $o ).

tff(func_def_1878,type,
    bG81: $o > $o ).

tff(func_def_1879,type,
    iG82: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1880,type,
    iG85: ( nat * nat ) > nat ).

tff(func_def_1881,type,
    lG86: ( int * int ) > int ).

tff(func_def_1882,type,
    iG87: ( int * int ) > nat ).

tff(func_def_1883,type,
    iG88: ( int * int ) > nat ).

tff(func_def_1884,type,
    iG89: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1885,type,
    iG90: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1886,type,
    iG91: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1887,type,
    iG92: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1888,type,
    iG95: ( int * int ) > int ).

tff(func_def_1889,type,
    iG96: ( int * int ) > int ).

tff(func_def_1890,type,
    iG97: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1891,type,
    iG98: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1892,type,
    iG99: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1893,type,
    iG100: ( nat * nat ) > nat ).

tff(func_def_1894,type,
    iG101: ( nat * nat * nat ) > nat ).

tff(func_def_1895,type,
    iG102: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1896,type,
    iG103: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1897,type,
    iG106: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1898,type,
    iG107: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1899,type,
    iG108: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1900,type,
    iG109: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1901,type,
    iG110: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1902,type,
    iG111: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1903,type,
    iG112: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1904,type,
    iG115: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1905,type,
    iG116: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1906,type,
    iG117: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1907,type,
    iG118: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1908,type,
    iG119: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1909,type,
    iG120: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1910,type,
    iG121: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1911,type,
    iG122: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1912,type,
    iG123: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1913,type,
    iG124: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1914,type,
    iG125: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1915,type,
    iG126: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1916,type,
    iG127: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1917,type,
    iG128: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1918,type,
    iG129: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1919,type,
    iG130: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1920,type,
    iG131: ( nat * nat ) > nat ).

tff(func_def_1921,type,
    iG132: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1922,type,
    bG133: ( int * int ) > $o ).

tff(func_def_1923,type,
    iG134: ( int * int ) > int ).

tff(func_def_1924,type,
    iG135: ( int * int ) > int ).

tff(func_def_1925,type,
    bG136: ( nat * nat ) > $o ).

tff(func_def_1926,type,
    iG137: ( int * int * nat * nat ) > int ).

tff(func_def_1927,type,
    iG138: ( int * int * nat * nat ) > int ).

tff(func_def_1928,type,
    iG139: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1929,type,
    bG140: nat > $o ).

tff(func_def_1930,type,
    iG141: ( int * nat ) > $o ).

tff(func_def_1931,type,
    iG142: ( int * int ) > int ).

tff(func_def_1932,type,
    iG143: ( nat * nat ) > nat ).

tff(func_def_1933,type,
    iG144: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1934,type,
    iG145: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1935,type,
    iG146: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1936,type,
    iG147: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1937,type,
    iG148: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_1938,type,
    bG151: nat > $o ).

tff(func_def_1939,type,
    iG154: ( nat * nat ) > nat ).

tff(func_def_1940,type,
    iG157: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1941,type,
    iG158: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1942,type,
    iG159: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1943,type,
    iG160: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1944,type,
    iG163: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1945,type,
    bG164: ( nat * nat ) > $o ).

tff(func_def_1946,type,
    iG165: ( int * int * nat * nat ) > int ).

tff(func_def_1947,type,
    iG166: ( int * int * nat * nat ) > int ).

tff(func_def_1948,type,
    iG167: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1949,type,
    iG168: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1950,type,
    iG169: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1951,type,
    iG170: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1952,type,
    iG171: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1953,type,
    iG172: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1954,type,
    iG173: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1955,type,
    iG174: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1956,type,
    iG175: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1957,type,
    iG176: nat > num ).

tff(func_def_1958,type,
    iG177: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1959,type,
    bG178: $o > $o ).

tff(func_def_1960,type,
    bG179: nat > $o ).

tff(func_def_1961,type,
    bG180: nat > $o ).

tff(func_def_1962,type,
    lG181: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1963,type,
    lG182: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1964,type,
    iG183: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1965,type,
    bG184: $o > $o ).

tff(func_def_1966,type,
    bG185: $o > $o ).

tff(func_def_1967,type,
    iG186: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1968,type,
    bG187: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_1969,type,
    iG188: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1970,type,
    iG189: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1971,type,
    iG190: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1972,type,
    iG191: ( nat * nat ) > nat ).

tff(func_def_1973,type,
    iG192: ( nat * nat ) > nat ).

tff(func_def_1974,type,
    iG193: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1975,type,
    iG194: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1976,type,
    bG195: nat > $o ).

tff(func_def_1977,type,
    iG196: ( nat * nat ) > nat ).

tff(func_def_1978,type,
    iG197: ( nat * nat ) > nat ).

tff(func_def_1979,type,
    bG198: ( nat * nat ) > $o ).

tff(func_def_1980,type,
    bG199: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1981,type,
    bG200: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1982,type,
    iG201: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1983,type,
    bG202: nat > $o ).

tff(func_def_1984,type,
    iG203: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1985,type,
    iG204: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1986,type,
    iG205: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1987,type,
    lG206: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1988,type,
    lG207: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1989,type,
    iG208: ( num * nat ) > option(num) ).

tff(func_def_1990,type,
    bG209: code_integer > $o ).

tff(func_def_1991,type,
    lG210: int > code_integer ).

tff(func_def_1992,type,
    iG211: int > code_integer ).

tff(func_def_1993,type,
    iG212: int > code_integer ).

tff(func_def_1994,type,
    iG213: int > code_integer ).

tff(func_def_1995,type,
    bG214: $o > $o ).

tff(func_def_1996,type,
    iG215: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1997,type,
    iG216: code_integer > num ).

tff(func_def_1998,type,
    iG217: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1999,type,
    iG218: code_integer > nat ).

tff(func_def_2000,type,
    iG219: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2001,type,
    iG220: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2002,type,
    iG221: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2003,type,
    iG222: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2004,type,
    iG223: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2005,type,
    iG224: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2006,type,
    iG225: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2007,type,
    iG226: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2008,type,
    iG227: code_integer > int ).

tff(func_def_2009,type,
    iG228: code_integer > int ).

tff(func_def_2010,type,
    lG229: num > code_integer ).

tff(func_def_2011,type,
    lG230: num > nat ).

tff(func_def_2012,type,
    lG231: num > nat ).

tff(func_def_2013,type,
    lG232: num > code_integer ).

tff(func_def_2014,type,
    iG233: ( nat * nat ) > nat ).

tff(func_def_2015,type,
    bG234: ( nat * nat ) > $o ).

tff(func_def_2016,type,
    iG235: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2017,type,
    iG236: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2018,type,
    iG237: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2019,type,
    iG238: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2020,type,
    iG239: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2021,type,
    iG240: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2022,type,
    iG241: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2023,type,
    iG242: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2024,type,
    iG243: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2025,type,
    iG244: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2026,type,
    lG245: product_prod(int,int) > int ).

tff(func_def_2027,type,
    lG246: product_prod(int,int) > int ).

tff(func_def_2028,type,
    iG247: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2029,type,
    iG248: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2030,type,
    iG249: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2031,type,
    iG250: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2032,type,
    iG251: ( int * int ) > int ).

tff(func_def_2033,type,
    iG252: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2034,type,
    iG253: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2035,type,
    iG254: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2036,type,
    iG255: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2037,type,
    iG256: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2038,type,
    iG257: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2039,type,
    iG258: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2040,type,
    iG259: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2041,type,
    iG260: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2042,type,
    iG261: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2043,type,
    iG262: ( nat * nat ) > nat ).

tff(func_def_2044,type,
    iG263: ( nat * nat ) > nat ).

tff(func_def_2045,type,
    iG264: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2046,type,
    bG265: ( nat * nat ) > $o ).

tff(func_def_2047,type,
    iG266: ( nat * nat ) > nat ).

tff(func_def_2048,type,
    iG267: ( nat * nat ) > nat ).

tff(func_def_2049,type,
    iG268: ( nat * nat ) > nat ).

tff(func_def_2050,type,
    iG269: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2051,type,
    bG270: ( $o * $o ) > $o ).

tff(func_def_2052,type,
    bG271: $o > $o ).

tff(func_def_2053,type,
    bG272: $o > $o ).

tff(func_def_2054,type,
    bG273: $o > $o ).

tff(func_def_2055,type,
    bG274: ( nat * $o ) > $o ).

tff(func_def_2056,type,
    bG275: nat > $o ).

tff(func_def_2057,type,
    bG276: nat > $o ).

tff(func_def_2058,type,
    iG277: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2059,type,
    iG278: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2060,type,
    bG279: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2061,type,
    iG280: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_2062,type,
    bG281: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2063,type,
    iG282: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_2064,type,
    bG283: $o > $o ).

tff(func_def_2065,type,
    iG284: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2066,type,
    lG285: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2067,type,
    iG286: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2068,type,
    iG287: 
      !>[X0: $tType] : ( ( $o * X0 * X0 ) > X0 ) ).

tff(func_def_2069,type,
    bG288: $o > $o ).

tff(func_def_2070,type,
    iG289: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2071,type,
    iG290: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2072,type,
    iG291: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2073,type,
    iG292: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2074,type,
    iG293: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2075,type,
    iG294: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2076,type,
    iG295: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2077,type,
    iG296: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2078,type,
    iG297: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2079,type,
    iG298: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2080,type,
    iG299: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2081,type,
    iG300: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2082,type,
    iG301: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2083,type,
    iG302: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2084,type,
    iG303: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2085,type,
    bG304: ( int * int ) > $o ).

tff(func_def_2086,type,
    bG305: ( int * int ) > $o ).

tff(func_def_2087,type,
    iG306: ( int * int ) > int ).

tff(func_def_2088,type,
    bG307: ( int * int ) > $o ).

tff(func_def_2089,type,
    bG308: ( int * int ) > $o ).

tff(func_def_2090,type,
    iG309: ( int * int ) > int ).

tff(func_def_2091,type,
    iG310: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2092,type,
    iG311: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2093,type,
    iG312: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2094,type,
    iG313: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2095,type,
    iG314: ( nat * nat ) > set(nat) ).

tff(func_def_2096,type,
    iG315: ( nat * nat * nat ) > set(nat) ).

tff(func_def_2097,type,
    iG316: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > set(X0) ) ).

tff(func_def_2098,type,
    iG317: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2099,type,
    iG318: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2100,type,
    iG319: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2101,type,
    iG320: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2102,type,
    iG321: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2103,type,
    iG322: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2104,type,
    iG323: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2105,type,
    iG324: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2106,type,
    iG325: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2107,type,
    iG326: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2108,type,
    iG327: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2109,type,
    iG328: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2110,type,
    iG329: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2111,type,
    iG330: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2112,type,
    iG331: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2113,type,
    iG332: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2114,type,
    iG333: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2115,type,
    iG334: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2116,type,
    iG335: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2117,type,
    iG336: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2118,type,
    iG337: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2119,type,
    bG338: $o > $o ).

tff(func_def_2120,type,
    iG339: 
      !>[X0: $tType] : ( $o > set(X0) ) ).

tff(func_def_2121,type,
    iG340: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2122,type,
    iG341: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2123,type,
    iG342: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2124,type,
    iG343: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2125,type,
    iG344: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2126,type,
    iG345: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2127,type,
    iG346: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2128,type,
    bG347: $o > $o ).

tff(func_def_2129,type,
    iG348: 
      !>[X0: $tType,X1: $tType] : ( $o > set(product_prod(X1,X0)) ) ).

tff(func_def_2130,type,
    iG349: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2131,type,
    iG350: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2132,type,
    iG351: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2133,type,
    iG352: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2134,type,
    iG353: set(nat) > nat ).

tff(func_def_2135,type,
    iG354: ( nat * nat ) > nat ).

tff(func_def_2136,type,
    lG355: 
      !>[X0: $tType] : ( list(X0) > set(set(X0)) ) ).

tff(func_def_2137,type,
    iG356: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2138,type,
    iG357: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2139,type,
    iG358: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2140,type,
    iG359: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_2141,type,
    iG360: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_2142,type,
    iG361: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_2143,type,
    iG362: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2144,type,
    iG363: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2145,type,
    iG364: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2146,type,
    iG365: ( int * int ) > list(int) ).

tff(func_def_2147,type,
    iG366: ( int * int ) > list(int) ).

tff(func_def_2148,type,
    iG367: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2149,type,
    iG368: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2150,type,
    iG369: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2151,type,
    iG370: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 ) > set(X0) ) ).

tff(func_def_2152,type,
    iG371: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2153,type,
    iG372: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2154,type,
    iG373: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2155,type,
    iG374: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2156,type,
    iG375: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_2157,type,
    lG376: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2158,type,
    iG377: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2159,type,
    lG378: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2160,type,
    iG379: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2161,type,
    iG380: 
      !>[X0: $tType] : ( list(list(X0)) > nat ) ).

tff(func_def_2162,type,
    iG381: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2163,type,
    iG382: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2164,type,
    iG383: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) ) > nat ) ).

tff(func_def_2165,type,
    iG384: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * list(product_prod(X1,X0)) * X0 ) > option(X0) ) ).

tff(func_def_2166,type,
    iG385: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2167,type,
    iG386: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > option(X0) ) ).

tff(func_def_2168,type,
    iG387: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_2169,type,
    iG388: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_2170,type,
    iG389: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2171,type,
    iG390: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2172,type,
    iG391: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2173,type,
    iG392: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2174,type,
    iG393: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * X0 ) > set(X0) ) ).

tff(func_def_2175,type,
    iG394: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * X1 * X0 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2176,type,
    iG395: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X0,option(X1)) * X0 ) > set(X0) ) ).

tff(func_def_2177,type,
    iG396: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2178,type,
    iG397: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2179,type,
    iG398: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2180,type,
    iG399: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2181,type,
    iG400: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * X2 * fun(product_prod(X2,X1),X0) ) > fun(X1,X0) ) ).

tff(func_def_2182,type,
    iG401: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2183,type,
    iG402: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_2184,type,
    iG403: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2185,type,
    iG404: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > heap_Time_Heap(X0) ) ).

tff(func_def_2186,type,
    iG405: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_2187,type,
    bG406: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2188,type,
    bG407: $o > $o ).

tff(func_def_2189,type,
    bG408: $o > $o ).

tff(func_def_2190,type,
    bG409: $o > $o ).

tff(func_def_2191,type,
    bG410: $o > $o ).

tff(func_def_2192,type,
    bG411: $o > $o ).

tff(func_def_2193,type,
    bG412: $o > $o ).

tff(func_def_2194,type,
    bG413: $o > $o ).

tff(func_def_2195,type,
    bG414: $o > $o ).

tff(func_def_2196,type,
    bG415: $o > $o ).

tff(func_def_2197,type,
    bG416: $o > $o ).

tff(func_def_2198,type,
    bG417: $o > $o ).

tff(func_def_2199,type,
    bG418: $o > $o ).

tff(func_def_2200,type,
    bG419: $o > $o ).

tff(func_def_2201,type,
    bG420: $o > $o ).

tff(func_def_2202,type,
    bG421: $o > $o ).

tff(func_def_2203,type,
    bG422: $o > $o ).

tff(func_def_2204,type,
    bG423: $o > $o ).

tff(func_def_2205,type,
    bG424: $o > $o ).

tff(func_def_2206,type,
    bG425: $o > $o ).

tff(func_def_2207,type,
    bG426: $o > $o ).

tff(func_def_2208,type,
    bG427: $o > $o ).

tff(func_def_2209,type,
    iG428: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > nat ) ).

tff(func_def_2210,type,
    lG429: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2211,type,
    iG430: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2212,type,
    iG431: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2213,type,
    iG432: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_2214,type,
    iG433: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2215,type,
    iG434: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2216,type,
    iG435: set(nat) > nat ).

tff(func_def_2217,type,
    iG436: 
      !>[X0: $tType,X1: $tType] : ( ( code_natural * fun(X1,fun(X0,product_prod(X1,X0))) * X1 ) > fun(X0,product_prod(X1,X0)) ) ).

tff(func_def_2218,type,
    iG437: ( int * int ) > product_prod(int,int) ).

tff(func_def_2219,type,
    iG438: 
      !>[X0: $tType,X1: $tType] : ( ( code_natural * fun(X1,fun(X0,product_prod(X1,X0))) * X1 ) > fun(X0,product_prod(X1,X0)) ) ).

tff(func_def_2220,type,
    iG439: 
      !>[X0: $tType,X1: $tType] : ( ( code_natural * fun(X1,fun(X0,product_prod(X1,X0))) * X1 ) > fun(X0,product_prod(X1,X0)) ) ).

tff(func_def_2221,type,
    iG440: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2222,type,
    iG441: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2223,type,
    lG442: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_2224,type,
    iG443: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2225,type,
    iG444: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2226,type,
    iG445: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2227,type,
    iG446: nat > nat ).

tff(func_def_2228,type,
    iG447: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2229,type,
    iG448: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2230,type,
    iG449: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2231,type,
    bG450: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2232,type,
    bG451: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(func_def_2233,type,
    bG452: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(func_def_2234,type,
    iG453: 
      !>[X0: $tType,X1: $tType] : ( ( $o * X0 * X1 ) > sum_sum(X1,X0) ) ).

tff(func_def_2235,type,
    iG454: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( $o * X1 * fun(X1,X0) * X2 * fun(X2,X0) ) > X0 ) ).

tff(func_def_2236,type,
    lG455: num > nat ).

tff(func_def_2237,type,
    lG456: num > nat ).

tff(func_def_2238,type,
    bG457: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,$o) * X1 * fun(X1,$o) ) > $o ) ).

tff(func_def_2239,type,
    bG458: $o > $o ).

tff(func_def_2240,type,
    bG459: $o > $o ).

tff(func_def_2241,type,
    bG460: $o > $o ).

tff(func_def_2242,type,
    bG461: $o > $o ).

tff(func_def_2243,type,
    bG462: $o > $o ).

tff(func_def_2244,type,
    bG463: $o > $o ).

tff(func_def_2245,type,
    bG464: $o > $o ).

tff(func_def_2246,type,
    bG465: $o > $o ).

tff(func_def_2247,type,
    bG466: $o > $o ).

tff(func_def_2248,type,
    bG467: $o > $o ).

tff(func_def_2249,type,
    bG468: $o > $o ).

tff(func_def_2250,type,
    bG469: $o > $o ).

tff(func_def_2251,type,
    bG470: $o > $o ).

tff(func_def_2252,type,
    bG471: $o > $o ).

tff(func_def_2253,type,
    bG472: $o > $o ).

tff(func_def_2254,type,
    bG473: $o > $o ).

tff(func_def_2255,type,
    bG475: $o > $o ).

tff(func_def_2256,type,
    bG476: $o > $o ).

tff(func_def_2257,type,
    bG477: $o > $o ).

tff(func_def_2258,type,
    bG478: $o > $o ).

tff(func_def_2259,type,
    bG479: $o > $o ).

tff(func_def_2260,type,
    iG480: 
      !>[X0: $tType,X1: $tType] : ( ( $o * sum_sum(X1,X0) * X0 ) > sum_sum(X1,X0) ) ).

tff(func_def_2261,type,
    iG481: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( $o * sum_sum(X3,X2) * fun(X2,X0) * fun(X3,X1) * X2 ) > sum_sum(X1,X0) ) ).

tff(func_def_2262,type,
    iG482: 
      !>[X0: $tType,X1: $tType] : ( ( $o * X0 * sum_sum(X1,X0) ) > sum_sum(X1,X0) ) ).

tff(func_def_2263,type,
    iG483: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( $o * X2 * fun(X2,X0) * sum_sum(X3,X2) * fun(X3,X1) ) > sum_sum(X1,X0) ) ).

tff(func_def_2264,type,
    iG484: 
      !>[X0: $tType,X1: $tType] : ( ( $o * sum_sum(X1,X0) * X1 ) > sum_sum(X1,X0) ) ).

tff(func_def_2265,type,
    iG485: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( $o * sum_sum(X3,X2) * fun(X2,X0) * fun(X3,X1) * X3 ) > sum_sum(X1,X0) ) ).

tff(func_def_2266,type,
    iG486: 
      !>[X0: $tType,X1: $tType] : ( ( $o * X1 * sum_sum(X1,X0) ) > sum_sum(X1,X0) ) ).

tff(func_def_2267,type,
    iG487: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( $o * X2 * fun(X2,X1) * sum_sum(X2,X3) * fun(X3,X0) ) > sum_sum(X1,X0) ) ).

tff(func_def_2268,type,
    bG488: $o > $o ).

tff(func_def_2269,type,
    iG489: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2270,type,
    iG490: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2271,type,
    iG491: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2272,type,
    iG492: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2273,type,
    iG493: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * X0 * fun(X0,fun(X0,X0)) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2274,type,
    iG494: ( code_natural * code_natural ) > code_natural ).

tff(func_def_2275,type,
    iG495: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2276,type,
    iG496: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2277,type,
    iG497: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * product_prod(X2,X0) ) > list(product_prod(X1,X0)) ) ).

tff(func_def_2278,type,
    iG498: ( pred(product_unit) * product_prod(code_natural,code_natural) ) > product_prod(pred(product_unit),product_prod(code_natural,code_natural)) ).

tff(func_def_2279,type,
    iG499: ( int * int ) > product_prod(int,int) ).

tff(func_def_2280,type,
    iG500: ( int * int ) > product_prod(int,int) ).

tff(func_def_2281,type,
    iG501: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2282,type,
    lG502: code_integer > int ).

tff(func_def_2283,type,
    iG503: ( code_integer * code_integer ) > int ).

tff(func_def_2284,type,
    lG504: code_integer > num ).

tff(func_def_2285,type,
    lG505: code_integer > num ).

tff(func_def_2286,type,
    iG506: ( code_integer * code_integer ) > num ).

tff(func_def_2287,type,
    lG507: code_integer > nat ).

tff(func_def_2288,type,
    lG508: code_integer > nat ).

tff(func_def_2289,type,
    iG509: ( code_integer * code_integer ) > nat ).

tff(func_def_2290,type,
    bG510: int > $o ).

tff(func_def_2291,type,
    iG511: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2292,type,
    iG512: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_2293,type,
    iG513: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_2294,type,
    iG514: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2295,type,
    iG515: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2296,type,
    iG516: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2297,type,
    iG517: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2298,type,
    iG518: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2299,type,
    iG519: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2300,type,
    iG520: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2301,type,
    iG521: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2302,type,
    iG522: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2303,type,
    iG523: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2304,type,
    iG524: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2305,type,
    iG525: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2306,type,
    iG526: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2307,type,
    iG527: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2308,type,
    iG528: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2309,type,
    iG529: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,fun(X0,X0)) ) > fun(X0,X0) ) ).

tff(func_def_2310,type,
    iG530: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * fun(heap_ext(product_unit),$o) * fun(heap_ext(product_unit),product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) > option(product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) ).

tff(func_def_2311,type,
    iG531: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2312,type,
    bG532: $o > $o ).

tff(func_def_2313,type,
    iG533: 
      !>[X0: $tType] : ( ( $o * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_2314,type,
    iG534: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2315,type,
    bG535: code_integer > $o ).

tff(func_def_2316,type,
    bG536: $o > $o ).

tff(func_def_2317,type,
    bG537: $o > $o ).

tff(func_def_2318,type,
    bG538: $o > $o ).

tff(func_def_2319,type,
    bG539: $o > $o ).

tff(func_def_2320,type,
    bG540: $o > $o ).

tff(func_def_2321,type,
    bG541: $o > $o ).

tff(func_def_2322,type,
    bG542: $o > $o ).

tff(func_def_2323,type,
    bG543: $o > $o ).

tff(func_def_2324,type,
    iG544: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X2) * set(product_prod(X1,X0)) * X0 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2325,type,
    iG545: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X0 ) > X0 ) ).

tff(func_def_2326,type,
    iG546: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X0 ) > X0 ) ).

tff(func_def_2327,type,
    iG547: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) * X0 ) > set(X0) ) ).

tff(func_def_2328,type,
    iG548: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2329,type,
    iG549: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2330,type,
    iG550: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2331,type,
    iG551: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2332,type,
    iG552: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2333,type,
    iG553: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2334,type,
    iG554: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2335,type,
    iG555: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2336,type,
    iG556: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2337,type,
    iG557: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2338,type,
    iG558: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2339,type,
    iG559: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2340,type,
    iG560: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2341,type,
    iG561: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2342,type,
    iG562: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2343,type,
    iG563: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * X0 ) > X0 ) ).

tff(func_def_2344,type,
    iG564: 
      !>[X0: $tType] : ( ( code_natural * code_natural * fun(code_natural,X0) ) > seq(X0) ) ).

tff(func_def_2345,type,
    iG565: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_2346,type,
    iG566: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2347,type,
    iG567: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,option(X0)) * fun(X1,option(X0)) ) > option(X0) ) ).

tff(func_def_2348,type,
    iG568: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2349,type,
    iG569: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2350,type,
    iG570: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2351,type,
    iG571: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2352,type,
    bG572: $o > $o ).

tff(func_def_2353,type,
    bG573: $o > $o ).

tff(func_def_2354,type,
    iG574: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2355,type,
    iG575: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2356,type,
    iG576: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2357,type,
    iG577: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 * fun(nat,X0) ) > X0 ) ).

tff(func_def_2358,type,
    bG578: $o > $o ).

tff(func_def_2359,type,
    bG579: $o > $o ).

tff(func_def_2360,type,
    bG580: $o > $o ).

tff(func_def_2361,type,
    bG581: $o > $o ).

tff(func_def_2362,type,
    bG582: $o > $o ).

tff(func_def_2363,type,
    bG583: $o > $o ).

tff(func_def_2364,type,
    bG584: $o > $o ).

tff(func_def_2365,type,
    bG585: $o > $o ).

tff(func_def_2366,type,
    bG586: $o > $o ).

tff(func_def_2367,type,
    bG587: $o > $o ).

tff(func_def_2368,type,
    bG588: $o > $o ).

tff(func_def_2369,type,
    bG589: $o > $o ).

tff(func_def_2370,type,
    bG590: $o > $o ).

tff(func_def_2371,type,
    bG591: $o > $o ).

tff(func_def_2372,type,
    bG592: $o > $o ).

tff(func_def_2373,type,
    bG593: $o > $o ).

tff(func_def_2374,type,
    bG594: $o > $o ).

tff(func_def_2375,type,
    bG595: $o > $o ).

tff(func_def_2376,type,
    bG596: $o > $o ).

tff(func_def_2377,type,
    bG597: $o > $o ).

tff(func_def_2378,type,
    bG598: $o > $o ).

tff(func_def_2379,type,
    bG599: $o > $o ).

tff(func_def_2380,type,
    bG600: $o > $o ).

tff(func_def_2381,type,
    bG601: $o > $o ).

tff(func_def_2382,type,
    bG602: $o > $o ).

tff(func_def_2383,type,
    bG603: $o > $o ).

tff(func_def_2384,type,
    bG604: $o > $o ).

tff(func_def_2385,type,
    bG605: $o > $o ).

tff(func_def_2386,type,
    bG606: $o > $o ).

tff(func_def_2387,type,
    bG607: $o > $o ).

tff(func_def_2388,type,
    bG608: $o > $o ).

tff(func_def_2389,type,
    bG609: $o > $o ).

tff(func_def_2390,type,
    bG610: $o > $o ).

tff(func_def_2391,type,
    bG611: $o > $o ).

tff(func_def_2392,type,
    bG612: $o > $o ).

tff(func_def_2393,type,
    bG613: $o > $o ).

tff(func_def_2394,type,
    bG614: $o > $o ).

tff(func_def_2395,type,
    bG615: $o > $o ).

tff(func_def_2396,type,
    bG616: $o > $o ).

tff(func_def_2397,type,
    bG617: $o > $o ).

tff(func_def_2398,type,
    bG618: $o > $o ).

tff(func_def_2399,type,
    bG619: $o > $o ).

tff(func_def_2400,type,
    bG620: $o > $o ).

tff(func_def_2401,type,
    bG621: $o > $o ).

tff(func_def_2402,type,
    bG622: $o > $o ).

tff(func_def_2403,type,
    bG623: $o > $o ).

tff(func_def_2404,type,
    bG624: $o > $o ).

tff(func_def_2405,type,
    bG625: $o > $o ).

tff(func_def_2406,type,
    bG626: $o > $o ).

tff(func_def_2407,type,
    bG627: $o > $o ).

tff(func_def_2408,type,
    bG628: $o > $o ).

tff(func_def_2409,type,
    bG629: $o > $o ).

tff(func_def_2410,type,
    bG630: $o > $o ).

tff(func_def_2411,type,
    bG631: $o > $o ).

tff(func_def_2412,type,
    bG632: $o > $o ).

tff(func_def_2413,type,
    bG633: $o > $o ).

tff(func_def_2414,type,
    bG634: $o > $o ).

tff(func_def_2415,type,
    bG635: $o > $o ).

tff(func_def_2416,type,
    bG636: $o > $o ).

tff(func_def_2417,type,
    bG637: $o > $o ).

tff(func_def_2418,type,
    bG638: $o > $o ).

tff(func_def_2419,type,
    bG639: $o > $o ).

tff(func_def_2420,type,
    bG640: $o > $o ).

tff(func_def_2421,type,
    bG641: $o > $o ).

tff(func_def_2422,type,
    bG642: $o > $o ).

tff(func_def_2423,type,
    bG643: $o > $o ).

tff(func_def_2424,type,
    bG644: $o > $o ).

tff(func_def_2425,type,
    bG645: $o > $o ).

tff(func_def_2426,type,
    bG646: $o > $o ).

tff(func_def_2427,type,
    bG647: $o > $o ).

tff(func_def_2428,type,
    bG648: $o > $o ).

tff(func_def_2429,type,
    bG649: $o > $o ).

tff(func_def_2430,type,
    bG650: $o > $o ).

tff(func_def_2431,type,
    bG651: $o > $o ).

tff(func_def_2432,type,
    bG652: $o > $o ).

tff(func_def_2433,type,
    bG653: $o > $o ).

tff(func_def_2434,type,
    bG654: $o > $o ).

tff(func_def_2435,type,
    bG655: $o > $o ).

tff(func_def_2436,type,
    bG656: $o > $o ).

tff(func_def_2437,type,
    bG657: $o > $o ).

tff(func_def_2438,type,
    bG658: $o > $o ).

tff(func_def_2439,type,
    bG659: $o > $o ).

tff(func_def_2440,type,
    bG660: $o > $o ).

tff(func_def_2441,type,
    bG661: $o > $o ).

tff(func_def_2442,type,
    bG662: $o > $o ).

tff(func_def_2443,type,
    bG663: $o > $o ).

tff(func_def_2444,type,
    bG664: $o > $o ).

tff(func_def_2445,type,
    bG665: $o > $o ).

tff(func_def_2446,type,
    bG666: $o > $o ).

tff(func_def_2447,type,
    bG667: $o > $o ).

tff(func_def_2448,type,
    bG668: $o > $o ).

tff(func_def_2449,type,
    bG669: $o > $o ).

tff(func_def_2450,type,
    bG670: $o > $o ).

tff(func_def_2451,type,
    bG671: $o > $o ).

tff(func_def_2452,type,
    bG672: $o > $o ).

tff(func_def_2453,type,
    bG673: $o > $o ).

tff(func_def_2454,type,
    bG674: $o > $o ).

tff(func_def_2455,type,
    bG675: $o > $o ).

tff(func_def_2456,type,
    bG676: $o > $o ).

tff(func_def_2457,type,
    bG677: $o > $o ).

tff(func_def_2458,type,
    bG678: $o > $o ).

tff(func_def_2459,type,
    bG679: $o > $o ).

tff(func_def_2460,type,
    bG680: $o > $o ).

tff(func_def_2461,type,
    bG681: $o > $o ).

tff(func_def_2462,type,
    bG682: $o > $o ).

tff(func_def_2463,type,
    bG683: $o > $o ).

tff(func_def_2464,type,
    bG684: $o > $o ).

tff(func_def_2465,type,
    bG685: $o > $o ).

tff(func_def_2466,type,
    bG686: $o > $o ).

tff(func_def_2467,type,
    bG687: $o > $o ).

tff(func_def_2468,type,
    bG688: $o > $o ).

tff(func_def_2469,type,
    bG689: $o > $o ).

tff(func_def_2470,type,
    bG690: $o > $o ).

tff(func_def_2471,type,
    bG691: $o > $o ).

tff(func_def_2472,type,
    bG692: $o > $o ).

tff(func_def_2473,type,
    bG693: $o > $o ).

tff(func_def_2474,type,
    bG694: $o > $o ).

tff(func_def_2475,type,
    bG695: $o > $o ).

tff(func_def_2476,type,
    bG696: $o > $o ).

tff(func_def_2477,type,
    bG697: $o > $o ).

tff(func_def_2478,type,
    bG698: $o > $o ).

tff(func_def_2479,type,
    sK699: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2480,type,
    sK700: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_2481,type,
    sK701: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_2482,type,
    sK702: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_2483,type,
    sK703: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_2484,type,
    sK704: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > nat ) ).

tff(func_def_2485,type,
    sK705: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_2486,type,
    sK706: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_2487,type,
    sK707: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > X0 ) ).

tff(func_def_2488,type,
    sK708: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > heap_ext(product_unit) ) ).

tff(func_def_2489,type,
    sK709: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_2490,type,
    sK710: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_2491,type,
    sK711: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_2492,type,
    sK712: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_ext(product_unit) ) ).

tff(func_def_2493,type,
    sK713: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2494,type,
    sK714: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2495,type,
    sK715: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2496,type,
    sK716: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2497,type,
    sK717: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,$o)) * fun(X0,$o) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2498,type,
    sK718: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,$o)) * fun(X0,$o) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2499,type,
    sK719: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > heap_ext(product_unit) ) ).

tff(func_def_2500,type,
    sK720: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > X0 ) ).

tff(func_def_2501,type,
    sK721: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > nat ) ).

tff(func_def_2502,type,
    sK722: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > nat ) ).

tff(func_def_2503,type,
    sK723: product_prod(nat,nat) > nat ).

tff(func_def_2504,type,
    sK724: product_prod(nat,nat) > nat ).

tff(func_def_2505,type,
    sK725: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2506,type,
    sK726: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2507,type,
    sK727: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2508,type,
    sK728: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2509,type,
    sK729: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2510,type,
    sK730: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_2511,type,
    sK731: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2512,type,
    sK732: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2513,type,
    sK733: 
      !>[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_2514,type,
    sK734: 
      !>[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_2515,type,
    sK735: 
      !>[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_2516,type,
    sK736: 
      !>[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_2517,type,
    sK737: 
      !>[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_2518,type,
    sK738: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_2519,type,
    sK739: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_2520,type,
    sK740: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_2521,type,
    sK741: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_2522,type,
    sK742: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_2523,type,
    sK743: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_2524,type,
    sK744: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_2525,type,
    sK745: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_2526,type,
    sK746: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_2527,type,
    sK747: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2528,type,
    sK748: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2529,type,
    sK749: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2530,type,
    sK750: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2531,type,
    sK751: 
      !>[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_2532,type,
    sK752: 
      !>[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_2533,type,
    sK753: 
      !>[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_2534,type,
    sK754: 
      !>[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_2535,type,
    sK755: 
      !>[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_2536,type,
    sK756: 
      !>[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_2537,type,
    sK757: 
      !>[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_2538,type,
    sK758: 
      !>[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_2539,type,
    sK759: 
      !>[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_2540,type,
    sK760: 
      !>[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_2541,type,
    sK761: 
      !>[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_2542,type,
    sK762: 
      !>[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_2543,type,
    sK763: 
      !>[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_2544,type,
    sK764: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_2545,type,
    sK765: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_2546,type,
    sK766: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_2547,type,
    sK767: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_2548,type,
    sK768: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_2549,type,
    sK769: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_2550,type,
    sK770: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_2551,type,
    sK771: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X4 ) ).

tff(func_def_2552,type,
    sK772: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X3 ) ).

tff(func_def_2553,type,
    sK773: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X2 ) ).

tff(func_def_2554,type,
    sK774: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X1 ) ).

tff(func_def_2555,type,
    sK775: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X0 ) ).

tff(func_def_2556,type,
    sK776: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X5 ) ).

tff(func_def_2557,type,
    sK777: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X4 ) ).

tff(func_def_2558,type,
    sK778: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X3 ) ).

tff(func_def_2559,type,
    sK779: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X2 ) ).

tff(func_def_2560,type,
    sK780: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X1 ) ).

tff(func_def_2561,type,
    sK781: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X0 ) ).

tff(func_def_2562,type,
    sK782: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X6 ) ).

tff(func_def_2563,type,
    sK783: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X5 ) ).

tff(func_def_2564,type,
    sK784: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X4 ) ).

tff(func_def_2565,type,
    sK785: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X3 ) ).

tff(func_def_2566,type,
    sK786: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X2 ) ).

tff(func_def_2567,type,
    sK787: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X1 ) ).

tff(func_def_2568,type,
    sK788: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X0 ) ).

tff(func_def_2569,type,
    sK789: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2570,type,
    sK790: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2571,type,
    sK791: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2572,type,
    sK792: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2573,type,
    sK793: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2574,type,
    sK794: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X0 ) ).

tff(func_def_2575,type,
    sK795: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X1 ) ).

tff(func_def_2576,type,
    sK796: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2577,type,
    sK797: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(pred_def_1,type,
    enum: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    cl_HOL_Oequal: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    countable: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    complete_Inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    complete_Sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    normal8620421768224518004emidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    quickc658316121487927005ustive: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    semido2269285787275462019factor: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    quickc3360725361186068524ustive: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    comple489889107523837845lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    normal6328177297339901930cative: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    bNF_Cardinal_cfinite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_149,type,
    bNF_Ca4139267488887388095finite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_150,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_151,type,
    bNF_Ca7133664381575040944arCard: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_152,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_153,type,
    bNF_Greatest_image2p: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) * fun(X0,fun(X2,$o)) * X1 * X3 ) > $o ) ).

tff(pred_def_154,type,
    bNF_Wellorder_compat: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_155,type,
    bNF_Wellorder_embedS: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_156,type,
    bNF_Wellorder_iso: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_157,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_158,type,
    basic_pred_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * sum_sum(X0,X1) ) > $o ) ).

tff(pred_def_159,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_160,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_161,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_162,type,
    code_cr_integer: ( int * code_integer ) > $o ).

tff(pred_def_163,type,
    code_cr_natural: ( nat * code_natural ) > $o ).

tff(pred_def_164,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_165,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_166,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_167,type,
    condit622319405099724424ng_bdd: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_168,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_169,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_170,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_171,type,
    equiv_congruent2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,fun(X1,X2)) ) > $o ) ).

tff(pred_def_172,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_173,type,
    equiv_equivp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_174,type,
    equiv_part_equivp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_175,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_176,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_177,type,
    frequently: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_178,type,
    rel_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * filter(X0) * filter(X1) ) > $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,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_183,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_184,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_185,type,
    fun_is_measure: 
      !>[X0: $tType] : ( fun(X0,nat) > $o ) ).

tff(pred_def_186,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_187,type,
    bounde8507323023520639062attice: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_188,type,
    bounde5338082073960204281axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_189,type,
    bounde6485984586167503788ce_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_190,type,
    abel_semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_191,type,
    abel_s757365448890700780axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_192,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_193,type,
    comm_monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_194,type,
    group: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_195,type,
    group_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_196,type,
    monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_197,type,
    monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_198,type,
    semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_199,type,
    groups778175481326437816id_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_200,type,
    groups1828464146339083142d_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_201,type,
    groups4802862169904069756st_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_202,type,
    groups_monoid_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_203,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_204,type,
    uniq: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_205,type,
    heap_Time_effect: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) * heap_ext(product_unit) * X0 * nat ) > $o ) ).

tff(pred_def_206,type,
    heap_Time_success: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > $o ) ).

tff(pred_def_207,type,
    hilbert_bijection: 
      !>[X0: $tType] : ( fun(X0,X0) > $o ) ).

tff(pred_def_208,type,
    semilattice_neutr: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_209,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_210,type,
    semilattice_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_211,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_212,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_213,type,
    quotient: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,X1) * fun(X1,X0) * fun(X0,fun(X1,$o)) ) > $o ) ).

tff(pred_def_214,type,
    rel_pred_comp: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,$o) * X0 ) > $o ) ).

tff(pred_def_215,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_216,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_217,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_218,type,
    linord3483353639454293061rt_key: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X0,X1),fun(list(X0),list(X0))) > $o ) ).

tff(pred_def_219,type,
    list_ex1: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > $o ) ).

tff(pred_def_220,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_221,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_222,type,
    map_le: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > $o ) ).

tff(pred_def_223,type,
    neg_numeral_is_num: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_224,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_225,type,
    is_none: 
      !>[X0: $tType] : ( option(X0) > $o ) ).

tff(pred_def_226,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_227,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_228,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_229,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_230,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_231,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_232,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_233,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_234,type,
    ordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_235,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_236,type,
    preordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_237,type,
    partial_mk_less: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > $o ) ).

tff(pred_def_238,type,
    contained: 
      !>[X0: $tType] : ( ( seq(X0) * pred(X0) ) > $o ) ).

tff(pred_def_239,type,
    quotient3: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_240,type,
    quot_type: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(set(X0),X1) * fun(X1,set(X0)) ) > $o ) ).

tff(pred_def_241,type,
    cr_rat: ( product_prod(int,int) * rat ) > $o ).

tff(pred_def_242,type,
    powp: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > $o ) ).

tff(pred_def_243,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_244,type,
    antisymp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_245,type,
    asym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_246,type,
    asymp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_247,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_248,type,
    irreflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_249,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_250,type,
    reflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_251,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_252,type,
    single_valuedp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_253,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_254,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_255,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_256,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_257,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_258,type,
    digit0: char > $o ).

tff(pred_def_259,type,
    digit1: char > $o ).

tff(pred_def_260,type,
    digit2: char > $o ).

tff(pred_def_261,type,
    digit3: char > $o ).

tff(pred_def_262,type,
    digit4: char > $o ).

tff(pred_def_263,type,
    digit5: char > $o ).

tff(pred_def_264,type,
    digit6: char > $o ).

tff(pred_def_265,type,
    digit7: char > $o ).

tff(pred_def_266,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_267,type,
    bi_unique: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_268,type,
    left_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_269,type,
    right_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_270,type,
    transfer_bforall: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_271,type,
    transitive_acyclic: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_272,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_273,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_274,type,
    wfP: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_275,type,
    adm_wf: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(fun(X0,X1),fun(X0,X1)) ) > $o ) ).

tff(pred_def_276,type,
    chain_subset: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

tff(pred_def_277,type,
    pred_maxchain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_278,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_279,type,
    iG83: ( int * nat ) > $o ).

tff(pred_def_280,type,
    iG84: ( int * nat ) > $o ).

tff(pred_def_281,type,
    iG93: ( int * int * int ) > $o ).

tff(pred_def_282,type,
    iG94: ( int * int * int ) > $o ).

tff(pred_def_283,type,
    iG104: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_284,type,
    iG105: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_285,type,
    iG113: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_286,type,
    iG114: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_287,type,
    iG149: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_288,type,
    iG150: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_289,type,
    iG152: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_290,type,
    iG153: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_291,type,
    iG155: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_292,type,
    iG156: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_293,type,
    iG161: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_294,type,
    iG162: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_295,type,
    iG474: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > $o ) ).

tff(f11,axiom,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit)] :
      ( ( aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,X1),X2) != none(product_prod(X0,product_prod(heap_ext(product_unit),nat))) )
     => heap_Time_success(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_successI) ).

tff(f49,axiom,
    ! [X0: $tType,X1: X0] : ( none(X0) != aa(X0,option(X0),some(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_option_Odistinct_I1_J) ).

tff(f133,axiom,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: heap_ext(product_unit)] :
      ( aa(X0,$o,X1,X2)
     => ( aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,heap_Time_assert(X0,X1,X2)),X3) = aa(product_prod(X0,product_prod(heap_ext(product_unit),nat)),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),some(product_prod(X0,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat)),aa(X0,fun(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat))),product_Pair(X0,product_prod(heap_ext(product_unit),nat)),X2),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X3),one_one(nat)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_execute__assert_I1_J) ).

tff(f9109,axiom,
    aa(a,$o,p,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f9110,conjecture,
    heap_Time_success(a,heap_Time_assert(a,p,x),h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f9111,negated_conjecture,
    ~ heap_Time_success(a,heap_Time_assert(a,p,x),h),
    inference(negated_conjecture,[status(cth)],[f9110]) ).

tff(f9153,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: heap_ext(product_unit)] :
      ( aa(X0,$o,X1,X2)
     => ( aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,heap_Time_assert(X0,X1,X2)),X3) = aa(product_prod(X0,product_prod(heap_ext(product_unit),nat)),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),some(product_prod(X0,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat)),aa(X0,fun(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat))),product_Pair(X0,product_prod(heap_ext(product_unit),nat)),X2),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X3),one_one(nat)))) ) ),
    inference(rectify,[],[f133]) ).

tff(f9154,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: heap_ext(product_unit)] :
      ( ( aa(X0,$o,X1,X2) = $true )
     => ( aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,heap_Time_assert(X0,X1,X2)),X3) = aa(product_prod(X0,product_prod(heap_ext(product_unit),nat)),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),some(product_prod(X0,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat)),aa(X0,fun(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat))),product_Pair(X0,product_prod(heap_ext(product_unit),nat)),X2),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X3),one_one(nat)))) ) ),
    inference(fool_elimination,[],[f9153]) ).

tff(f18273,plain,
    aa(a,$o,p,x),
    inference(rectify,[],[f9109]) ).

tff(f18274,plain,
    aa(a,$o,p,x) = $true,
    inference(fool_elimination,[],[f18273]) ).

tff(f18275,plain,
    ~ heap_Time_success(a,heap_Time_assert(a,p,x),h),
    inference(flattening,[],[f9111]) ).

tff(f18292,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit)] :
      ( heap_Time_success(X0,X1,X2)
      | ( none(product_prod(X0,product_prod(heap_ext(product_unit),nat))) = aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,X1),X2) ) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f18297,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: heap_ext(product_unit)] :
      ( ( aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,heap_Time_assert(X0,X1,X2)),X3) = aa(product_prod(X0,product_prod(heap_ext(product_unit),nat)),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),some(product_prod(X0,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat)),aa(X0,fun(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat))),product_Pair(X0,product_prod(heap_ext(product_unit),nat)),X2),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X3),one_one(nat)))) )
      | ( aa(X0,$o,X1,X2) != $true ) ),
    inference(ennf_transformation,[],[f9154]) ).

tff(f18442,plain,
    aa(a,$o,p,x) = $true,
    inference(cnf_transformation,[],[f18274]) ).

tff(f18443,plain,
    ~ heap_Time_success(a,heap_Time_assert(a,p,x),h),
    inference(cnf_transformation,[],[f18275]) ).

tff(f18455,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X1: heap_Time_Heap(X0)] :
      ( ( none(product_prod(X0,product_prod(heap_ext(product_unit),nat))) = aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,X1),X2) )
      | heap_Time_success(X0,X1,X2) ),
    inference(cnf_transformation,[],[f18292]) ).

tff(f18459,plain,
    ! [X0: $tType,X2: X0,X3: heap_ext(product_unit),X1: fun(X0,$o)] :
      ( ( aa(X0,$o,X1,X2) != $true )
      | ( aa(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(X0,heap_Time_assert(X0,X1,X2)),X3) = aa(product_prod(X0,product_prod(heap_ext(product_unit),nat)),option(product_prod(X0,product_prod(heap_ext(product_unit),nat))),some(product_prod(X0,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat)),aa(X0,fun(product_prod(heap_ext(product_unit),nat),product_prod(X0,product_prod(heap_ext(product_unit),nat))),product_Pair(X0,product_prod(heap_ext(product_unit),nat)),X2),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X3),one_one(nat)))) ) ),
    inference(cnf_transformation,[],[f18297]) ).

tff(f18588,plain,
    ! [X0: $tType,X1: X0] : ( aa(X0,option(X0),some(X0),X1) != none(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f18682,plain,
    ! [X0: heap_ext(product_unit)] :
      ( ( $true != $true )
      | ( aa(heap_ext(product_unit),option(product_prod(a,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(a,heap_Time_assert(a,p,x)),X0) = aa(product_prod(a,product_prod(heap_ext(product_unit),nat)),option(product_prod(a,product_prod(heap_ext(product_unit),nat))),some(product_prod(a,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(a,product_prod(heap_ext(product_unit),nat)),aa(a,fun(product_prod(heap_ext(product_unit),nat),product_prod(a,product_prod(heap_ext(product_unit),nat))),product_Pair(a,product_prod(heap_ext(product_unit),nat)),x),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X0),one_one(nat)))) ) ),
    inference(superposition,[],[f18459,f18442]) ).

tff(f18683,plain,
    ! [X0: heap_ext(product_unit)] : ( aa(heap_ext(product_unit),option(product_prod(a,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(a,heap_Time_assert(a,p,x)),X0) = aa(product_prod(a,product_prod(heap_ext(product_unit),nat)),option(product_prod(a,product_prod(heap_ext(product_unit),nat))),some(product_prod(a,product_prod(heap_ext(product_unit),nat))),aa(product_prod(heap_ext(product_unit),nat),product_prod(a,product_prod(heap_ext(product_unit),nat)),aa(a,fun(product_prod(heap_ext(product_unit),nat),product_prod(a,product_prod(heap_ext(product_unit),nat))),product_Pair(a,product_prod(heap_ext(product_unit),nat)),x),aa(nat,product_prod(heap_ext(product_unit),nat),aa(heap_ext(product_unit),fun(nat,product_prod(heap_ext(product_unit),nat)),product_Pair(heap_ext(product_unit),nat),X0),one_one(nat)))) ),
    inference(trivial_inequality_removal,[],[f18682]) ).

tff(f18803,plain,
    ! [X0: heap_ext(product_unit)] : ( none(product_prod(a,product_prod(heap_ext(product_unit),nat))) != aa(heap_ext(product_unit),option(product_prod(a,product_prod(heap_ext(product_unit),nat))),heap_Time_execute(a,heap_Time_assert(a,p,x)),X0) ),
    inference(superposition,[],[f18588,f18683]) ).

tff(f18964,plain,
    $false,
    inference(unit_resulting_resolution,[],[f18455,f18443,f18803]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP207_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  % Computer : n016.cluster.edu
% 0.12/0.42  % Model    : x86_64 x86_64
% 0.12/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42  % Memory   : 8046.5625MB
% 0.12/0.42  % OS       : Linux 6.8.0-71-generic
% 0.12/0.42  % CPULimit : 300
% 0.12/0.42  % WCLimit  : 300
% 0.12/0.42  % DateTime : Sun Sep 27 12:27:32 UTC 2026
% 0.12/0.42  % CPUTime  : 
% 0.12/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.47  Running first-order theorem proving
% 0.17/0.47  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.65/3.44  % (2561216)Detected formulas, will run a generic FOF schedule.
% 11.65/3.44  % (2561223)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=464840946:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 11.65/3.44  % (2561226)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3371922637:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 11.65/3.44  % (2561221)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2424745540:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 11.65/3.44  % (2561222)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2592832568:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 11.65/3.44  % (2561225)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4121350074:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 11.65/3.44  % (2561224)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3445768001:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 11.65/3.44  % (2561227)dis-21_1_sil=8000:lcm=predicate:random_seed=2326363927:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 11.65/3.44  % (2561226)Instruction limit reached! 
% 11.65/3.44  % (2561226)------------------------------
% 11.65/3.44  % (2561226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.44  % (2561226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.44  % (2561226)CaDiCaL version: 2.1.3
% 11.65/3.44  % (2561226)Termination reason: Instruction limit
% 11.65/3.44  % (2561226)Termination phase: Property scanning
% 11.65/3.44  % (2561226)Time elapsed: 0.030 s
% 11.65/3.44  % (2561226)Peak memory usage: 96 MB
% 11.65/3.44  % (2561226)Instructions burned: 142 (million)
% 11.65/3.44  % (2561224)Instruction limit reached! 
% 11.65/3.44  % (2561224)------------------------------
% 11.65/3.44  % (2561224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.44  % (2561224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.44  % (2561224)CaDiCaL version: 2.1.3
% 11.65/3.44  % (2561224)Termination reason: Instruction limit
% 11.65/3.44  % (2561224)Termination phase: Initialization
% 11.65/3.44  % (2561224)Time elapsed: 0.053 s
% 11.65/3.44  % (2561224)Peak memory usage: 99 MB
% 11.65/3.44  % (2561224)Instructions burned: 109 (million)
% 11.65/3.44  % (2561225)Instruction limit reached! 
% 11.65/3.44  % (2561225)------------------------------
% 11.65/3.44  % (2561225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.44  % (2561225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.44  % (2561225)CaDiCaL version: 2.1.3
% 11.65/3.44  % (2561225)Termination reason: Instruction limit
% 11.65/3.44  % (2561225)Termination phase: Initialization
% 11.65/3.44  % (2561225)Time elapsed: 0.058 s
% 11.65/3.44  % (2561225)Peak memory usage: 99 MB
% 11.65/3.44  % (2561225)Instructions burned: 121 (million)
% 11.65/3.44  % (2561227)Instruction limit reached! 
% 11.65/3.44  % (2561227)------------------------------
% 11.65/3.44  % (2561227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.44  % (2561227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.44  % (2561227)CaDiCaL version: 2.1.3
% 11.65/3.44  % (2561227)Termination reason: Instruction limit
% 11.65/3.44  % (2561227)Termination phase: Initialization
% 11.65/3.44  % (2561227)Time elapsed: 0.062 s
% 11.65/3.44  % (2561227)Peak memory usage: 99 MB
% 11.65/3.44  % (2561227)Instructions burned: 129 (million)
% 11.65/3.44  % (2561235)lrs+10_1_sil=8000:sp=occurrence:random_seed=2741722732:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.65/3.44  % (2561237)lrs+1011_1_sil=32000:sp=occurrence:random_seed=854781020:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 11.65/3.44  % (2561236)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4085488139:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 11.65/3.44  % (2561238)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3797834867:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 11.65/3.44  % (2561235)Instruction limit reached! 
% 13.76/3.75  % (2561235)------------------------------
% 13.76/3.75  % (2561235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/3.75  % (2561235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/3.75  % (2561235)CaDiCaL version: 2.1.3
% 13.76/3.75  % (2561235)Termination reason: Instruction limit
% 13.76/3.75  % (2561235)Termination phase: Initialization
% 13.76/3.75  % (2561235)Time elapsed: 0.077 s
% 13.76/3.75  % (2561235)Peak memory usage: 102 MB
% 13.76/3.75  % (2561235)Instructions burned: 288 (million)
% 13.76/3.75  % (2561236)Instruction limit reached! 
% 13.76/3.75  % (2561236)------------------------------
% 13.76/3.75  % (2561236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/3.75  % (2561236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/3.75  % (2561236)CaDiCaL version: 2.1.3
% 13.76/3.75  % (2561236)Termination reason: Instruction limit
% 13.76/3.75  % (2561236)Termination phase: Property scanning
% 13.76/3.75  % (2561236)Time elapsed: 0.062 s
% 13.76/3.75  % (2561236)Peak memory usage: 96 MB
% 13.76/3.75  % (2561236)Instructions burned: 157 (million)
% 13.76/3.75  % (2561243)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2747869407:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 13.76/3.75  % (2561238)Instruction limit reached! 
% 13.76/3.75  % (2561238)------------------------------
% 13.76/3.75  % (2561238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/3.75  % (2561238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/3.75  % (2561238)CaDiCaL version: 2.1.3
% 13.76/3.75  % (2561238)Termination reason: Instruction limit
% 13.76/3.75  % (2561238)Termination phase: Property scanning
% 13.76/3.75  % (2561238)Time elapsed: 0.101 s
% 13.76/3.75  % (2561238)Peak memory usage: 96 MB
% 13.76/3.75  % (2561238)Instructions burned: 250 (million)
% 13.76/3.75  % (2561237)Instruction limit reached! 
% 13.76/3.75  % (2561237)------------------------------
% 13.76/3.75  % (2561237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/3.75  % (2561237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/3.75  % (2561237)CaDiCaL version: 2.1.3
% 13.76/3.75  % (2561237)Termination reason: Instruction limit
% 13.76/3.75  % (2561237)Termination phase: Initialization
% 13.76/3.75  % (2561237)Time elapsed: 0.158 s
% 13.76/3.75  % (2561237)Peak memory usage: 103 MB
% 13.76/3.75  % (2561237)Instructions burned: 327 (million)
% 13.76/3.75  % (2561243)Instruction limit reached! 
% 13.76/3.75  % (2561243)------------------------------
% 13.76/3.75  % (2561243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/3.75  % (2561243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/3.75  % (2561243)CaDiCaL version: 2.1.3
% 13.76/3.75  % (2561243)Termination reason: Instruction limit
% 13.76/3.75  % (2561243)Termination phase: Initialization
% 13.76/3.75  % (2561243)Time elapsed: 0.077 s
% 13.76/3.75  % (2561243)Peak memory usage: 103 MB
% 13.76/3.75  % (2561243)Instructions burned: 295 (million)
% 13.76/3.75  % (2561244)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=25403881:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 13.76/3.75  % (2561246)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2169818389:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 13.76/3.75  % (2561248)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3723282303:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 13.76/3.75  % (2561247)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1630101240:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 13.76/3.75  % (2561248)Instruction limit reached! 
% 13.76/3.75  % (2561248)------------------------------
% 13.76/3.75  % (2561248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.76/3.75  % (2561248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/3.75  % (2561248)CaDiCaL version: 2.1.3
% 13.76/3.75  % (2561248)Termination reason: Instruction limit
% 13.76/3.75  % (2561248)Termination phase: Property scanning
% 13.76/3.75  % (2561248)Time elapsed: 0.024 s
% 13.76/3.75  % (2561248)Peak memory usage: 96 MB
% 13.76/3.75  % (2561248)Instructions burned: 114 (million)
% 13.76/3.75  % (2561246)Instruction limit reached! 
% 13.76/3.75  % (2561246)------------------------------
% 13.76/3.75  % (2561246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/4.23  % (2561246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/4.23  % (2561246)CaDiCaL version: 2.1.3
% 17.52/4.23  % (2561246)Termination reason: Instruction limit
% 17.52/4.23  % (2561246)Termination phase: Initialization
% 17.52/4.23  % (2561246)Time elapsed: 0.057 s
% 17.52/4.23  % (2561246)Peak memory usage: 99 MB
% 17.52/4.23  % (2561246)Instructions burned: 114 (million)
% 17.52/4.23  % (2561247)Instruction limit reached! 
% 17.52/4.23  % (2561247)------------------------------
% 17.52/4.23  % (2561247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/4.23  % (2561247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/4.23  % (2561247)CaDiCaL version: 2.1.3
% 17.52/4.23  % (2561247)Termination reason: Instruction limit
% 17.52/4.23  % (2561247)Termination phase: Initialization
% 17.52/4.23  % (2561247)Time elapsed: 0.063 s
% 17.52/4.23  % (2561247)Peak memory usage: 99 MB
% 17.52/4.23  % (2561247)Instructions burned: 127 (million)
% 17.52/4.23  % (2561253)lrs+10_1_sil=8000:sp=occurrence:random_seed=2902858872:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 17.52/4.23  % (2561254)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1738159678:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 17.52/4.23  % (2561255)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4137270793:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 17.52/4.23  % (2561253)Instruction limit reached! 
% 17.52/4.23  % (2561253)------------------------------
% 17.52/4.23  % (2561253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/4.23  % (2561253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/4.23  % (2561253)CaDiCaL version: 2.1.3
% 17.52/4.23  % (2561253)Termination reason: Instruction limit
% 17.52/4.23  % (2561253)Termination phase: Preprocessing 3
% 17.52/4.23  % (2561253)Time elapsed: 0.245 s
% 17.52/4.23  % (2561253)Peak memory usage: 107 MB
% 17.52/4.23  % (2561253)Instructions burned: 909 (million)
% 17.52/4.23  % (2561254)Instruction limit reached! 
% 17.52/4.23  % (2561254)------------------------------
% 17.52/4.23  % (2561254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/4.23  % (2561254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/4.23  % (2561254)CaDiCaL version: 2.1.3
% 17.52/4.23  % (2561254)Termination reason: Instruction limit
% 17.52/4.23  % (2561254)Termination phase: Property scanning
% 17.52/4.23  % (2561254)Time elapsed: 0.210 s
% 17.52/4.23  % (2561254)Peak memory usage: 105 MB
% 17.52/4.23  % (2561254)Instructions burned: 439 (million)
% 17.52/4.23  % (2561259)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2954010392:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 17.52/4.23  % (2561259)Instruction limit reached! 
% 17.52/4.23  % (2561259)------------------------------
% 17.52/4.23  % (2561259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/4.23  % (2561259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/4.23  % (2561259)CaDiCaL version: 2.1.3
% 17.52/4.23  % (2561259)Termination reason: Instruction limit
% 17.52/4.23  % (2561259)Termination phase: Preprocessing 1
% 17.52/4.23  % (2561259)Time elapsed: 0.051 s
% 17.52/4.23  % (2561259)Peak memory usage: 97 MB
% 17.52/4.23  % (2561259)Instructions burned: 135 (million)
% 17.52/4.23  % (2561260)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=475677960:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 17.52/4.23  % (2561262)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3338366075:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 17.52/4.23  % (2561223)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.52/4.23  % (2561260)Instruction limit reached! 
% 17.52/4.23  % (2561260)------------------------------
% 17.52/4.23  % (2561260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.52/4.23  % (2561260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/4.23  % (2561260)CaDiCaL version: 2.1.3
% 17.52/4.23  % (2561260)Termination reason: Instruction limit
% 17.52/4.23  % (2561260)Termination phase: Property scanning
% 17.52/4.23  % (2561260)Time elapsed: 0.273 s
% 17.52/4.23  % (2561260)Peak memory usage: 105 MB
% 17.52/4.23  % (2561260)Instructions burned: 594 (million)
% 17.52/4.23  % (2561265)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1897662384:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 26.85/5.66  % (2561265)Instruction limit reached! 
% 26.85/5.66  % (2561265)------------------------------
% 26.85/5.66  % (2561265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561265)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561265)Termination reason: Instruction limit
% 26.85/5.66  % (2561265)Termination phase: Property scanning
% 26.85/5.66  % (2561265)Time elapsed: 0.050 s
% 26.85/5.66  % (2561265)Peak memory usage: 96 MB
% 26.85/5.66  % (2561265)Instructions burned: 126 (million)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561244)Instruction limit reached! 
% 26.85/5.66  % (2561244)------------------------------
% 26.85/5.66  % (2561244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561244)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561244)Termination reason: Instruction limit
% 26.85/5.66  % (2561244)Termination phase: Saturation
% 26.85/5.66  % (2561244)Time elapsed: 1.108 s
% 26.85/5.66  % (2561244)Peak memory usage: 119 MB
% 26.85/5.66  % (2561244)Instructions burned: 2351 (million)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561267)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2222267291:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561268)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2938584806:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 26.85/5.66  % (2561267)Instruction limit reached! 
% 26.85/5.66  % (2561267)------------------------------
% 26.85/5.66  % (2561267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561267)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561267)Termination reason: Instruction limit
% 26.85/5.66  % (2561267)Termination phase: Property scanning
% 26.85/5.66  % (2561267)Time elapsed: 0.055 s
% 26.85/5.66  % (2561267)Peak memory usage: 96 MB
% 26.85/5.66  % (2561267)Instructions burned: 134 (million)
% 26.85/5.66  % (2561269)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4020576779:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 26.85/5.66  % (2561272)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=980961403:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 26.85/5.66  % (2561268)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 26.85/5.66  % (2561268)Refutation not found, incomplete strategy
% 26.85/5.66  % (2561268)------------------------------
% 26.85/5.66  % (2561268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561268)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561268)Termination reason: Refutation not found, incomplete strategy
% 26.85/5.66  % (2561268)Time elapsed: 0.070 s
% 26.85/5.66  % (2561268)Peak memory usage: 100 MB
% 26.85/5.66  % (2561268)Instructions burned: 96 (million)
% 26.85/5.66  % (2561271)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3716763735:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 26.85/5.66  % (2561272)Instruction limit reached! 
% 26.85/5.66  % (2561272)------------------------------
% 26.85/5.66  % (2561272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561272)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561272)Termination reason: Instruction limit
% 26.85/5.66  % (2561272)Termination phase: Initialization
% 26.85/5.66  % (2561272)Time elapsed: 0.042 s
% 26.85/5.66  % (2561272)Peak memory usage: 100 MB
% 26.85/5.66  % (2561272)Instructions burned: 150 (million)
% 26.85/5.66  % (2561275)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2797743368:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 26.85/5.66  % (2561278)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=848788859:i=667:av=off:fsr=off_2971 on theBenchmark for (2971ds/667Mi)
% 26.85/5.66  % (2561269)Instruction limit reached! 
% 26.85/5.66  % (2561269)------------------------------
% 26.85/5.66  % (2561269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561269)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561269)Termination reason: Instruction limit
% 26.85/5.66  % (2561269)Termination phase: Property scanning
% 26.85/5.66  % (2561269)Time elapsed: 0.211 s
% 26.85/5.66  % (2561269)Peak memory usage: 105 MB
% 26.85/5.66  % (2561269)Instructions burned: 432 (million)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561268)------------------------------
% 26.85/5.66  % (2561268)------------------------------
% 26.85/5.66  % (2561281)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3969874396:s2a=on:i=185:s2at=1.8:fdi=4_2970 on theBenchmark for (2970ds/185Mi)
% 26.85/5.66  % (2561278)Instruction limit reached! 
% 26.85/5.66  % (2561278)------------------------------
% 26.85/5.66  % (2561278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561278)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561278)Termination reason: Instruction limit
% 26.85/5.66  % (2561278)Termination phase: Property scanning
% 26.85/5.66  % (2561278)Time elapsed: 0.210 s
% 26.85/5.66  % (2561278)Peak memory usage: 112 MB
% 26.85/5.66  % (2561278)Instructions burned: 668 (million)
% 26.85/5.66  % (2561282)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3371025465:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2969 on theBenchmark for (2969ds/193Mi)
% 26.85/5.66  % (2561283)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3091171890:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2969 on theBenchmark for (2969ds/4850Mi)
% 26.85/5.66  % (2561284)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3422085107:i=12111:sd=1:ss=included_2969 on theBenchmark for (2969ds/12111Mi)
% 26.85/5.66  % (2561281)Instruction limit reached! 
% 26.85/5.66  % (2561281)------------------------------
% 26.85/5.66  % (2561281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561281)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561281)Termination reason: Instruction limit
% 26.85/5.66  % (2561281)Termination phase: Preprocessing 1
% 26.85/5.66  % (2561281)Time elapsed: 0.117 s
% 26.85/5.66  % (2561281)Peak memory usage: 97 MB
% 26.85/5.66  % (2561281)Instructions burned: 186 (million)
% 26.85/5.66  % (2561286)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2845039332:i=319:kws=precedence:fsr=off_2968 on theBenchmark for (2968ds/319Mi)
% 26.85/5.66  % (2561282)Instruction limit reached! 
% 26.85/5.66  % (2561282)------------------------------
% 26.85/5.66  % (2561282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561282)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561282)Termination reason: Instruction limit
% 26.85/5.66  % (2561282)Termination phase: Initialization
% 26.85/5.66  % (2561282)Time elapsed: 0.095 s
% 26.85/5.66  % (2561282)Peak memory usage: 101 MB
% 26.85/5.66  % (2561282)Instructions burned: 194 (million)
% 26.85/5.66  % (2561286)Instruction limit reached! 
% 26.85/5.66  % (2561286)------------------------------
% 26.85/5.66  % (2561286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561286)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561286)Termination reason: Instruction limit
% 26.85/5.66  % (2561286)Termination phase: Initialization
% 26.85/5.66  % (2561286)Time elapsed: 0.085 s
% 26.85/5.66  % (2561286)Peak memory usage: 103 MB
% 26.85/5.66  % (2561286)Instructions burned: 322 (million)
% 26.85/5.66  % (2561290)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2571970207:i=2064:ep=RST_2967 on theBenchmark for (2967ds/2064Mi)
% 26.85/5.66  % (2561292)dis-1011_128_sil=32000:random_seed=3584604942:i=3706:ep=RST:av=off_2967 on theBenchmark for (2967ds/3706Mi)
% 26.85/5.66  % (2561293)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=4256370393:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2966 on theBenchmark for (2966ds/757Mi)
% 26.85/5.66  % (2561293)Refutation not found, incomplete strategy
% 26.85/5.66  % (2561293)------------------------------
% 26.85/5.66  % (2561293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561293)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561293)Termination reason: Refutation not found, incomplete strategy
% 26.85/5.66  % (2561293)Time elapsed: 0.055 s
% 26.85/5.66  % (2561293)Peak memory usage: 101 MB
% 26.85/5.66  % (2561293)Instructions burned: 160 (million)
% 26.85/5.66  % (2561293)------------------------------
% 26.85/5.66  % (2561293)------------------------------
% 26.85/5.66  % (2561297)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3161057072:i=13913:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/13913Mi)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561299)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2972830936:i=9925:aac=none_2959 on theBenchmark for (2959ds/9925Mi)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561301)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1869254385:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2957 on theBenchmark for (2957ds/2479Mi)
% 26.85/5.66  % (2561290)Instruction limit reached! 
% 26.85/5.66  % (2561290)------------------------------
% 26.85/5.66  % (2561290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561290)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561290)Termination reason: Instruction limit
% 26.85/5.66  % (2561290)Termination phase: Property scanning
% 26.85/5.66  % (2561290)Time elapsed: 0.962 s
% 26.85/5.66  % (2561290)Peak memory usage: 119 MB
% 26.85/5.66  % (2561290)Instructions burned: 2065 (million)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561303)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3599995454:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2956 on theBenchmark for (2956ds/440Mi)
% 26.85/5.66  % (2561304)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=158702008:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2956 on theBenchmark for (2956ds/11145Mi)
% 26.85/5.66  % (2561301)First to succeed.
% 26.85/5.66  % (2561301)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2561216"
% 26.85/5.66  % (2561303)Instruction limit reached! 
% 26.85/5.66  % (2561303)------------------------------
% 26.85/5.66  % (2561303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.85/5.66  % (2561303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/5.66  % (2561303)CaDiCaL version: 2.1.3
% 26.85/5.66  % (2561303)Termination reason: Instruction limit
% 26.85/5.66  % (2561303)Termination phase: Property scanning
% 26.85/5.66  % (2561303)Time elapsed: 0.180 s
% 26.85/5.66  % (2561303)Peak memory usage: 96 MB
% 26.85/5.66  % (2561303)Instructions burned: 440 (million)
% 26.85/5.66  % Exception at run slice level
% 26.85/5.66  User error: GNN currently only supports monomorphic FOL.
% 26.85/5.66  % (2561301)Refutation found. Thanks to Tanya!
% 26.85/5.66  % SZS status Theorem for theBenchmark
% 26.85/5.66  % SZS output start Proof for theBenchmark
% See solution above
% 28.28/5.86  % (2561301)------------------------------
% 28.28/5.86  % (2561301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.28/5.86  % (2561301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.28/5.86  % (2561301)CaDiCaL version: 2.1.3
% 28.28/5.86  % (2561301)Termination reason: Refutation
% 28.28/5.86  % (2561301)Time elapsed: 0.278 s
% 28.28/5.86  % (2561301)Peak memory usage: 110 MB
% 28.28/5.86  % (2561301)Instructions burned: 998 (million)
% 28.28/5.86  % (2561301)------------------------------
% 28.28/5.86  % (2561301)------------------------------
% 28.28/5.86  % (2561216)Success in time 4.756 s
% 28.28/5.86  % Vampire exiting
%------------------------------------------------------------------------------