Vampire-SAT---5.0.1.CAX-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP212_4 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:36:54 AM UTC 2026

% Result   : ContradictoryAxioms 8.45s 2.18s
% Output   : Refutation 8.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   84 (  26 unt;   0 typ;   7 def)
%            Number of atoms       :  251 (  43 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  198 (  82   ~;  81   |;   5   &)
%                                         (  16 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of FOOLs       :  105 (  76 fml;  29 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  392 ( 389 usr;   9 prp; 0-10 aty)
%            Number of functors    : 2985 (2985 usr;  64 con; 0-10 aty)
%            Number of variables   :   87 (   0 sgn  83   !;   4   ?;  87   :)

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

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

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

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

tff(type_def_9,type,
    heap_ext: $tType > $tType ).

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

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

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

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

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

tff(type_def_15,type,
    assn: $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,
    array: $tType > $tType ).

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

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

tff(type_def_24,type,
    set: $tType > $tType ).

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

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

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

tff(type_def_28,type,
    int: $tType ).

tff(type_def_29,type,
    itself: $tType > $tType ).

tff(type_def_30,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_31,type,
    b: $tType ).

tff(type_def_32,type,
    a: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_490,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_491,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

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

tff(func_def_493,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_494,type,
    array_alloc: 
      !>[X0: $tType] : ( ( list(X0) * heap_ext(product_unit) ) > product_prod(array(X0),heap_ext(product_unit)) ) ).

tff(func_def_495,type,
    array_freeze: 
      !>[X0: $tType] : ( array(X0) > heap_Time_Heap(list(X0)) ) ).

tff(func_def_496,type,
    array_get: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * array(X0) ) > list(X0) ) ).

tff(func_def_497,type,
    array_len: 
      !>[X0: $tType] : ( array(X0) > heap_Time_Heap(nat) ) ).

tff(func_def_498,type,
    array_length: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * array(X0) ) > nat ) ).

tff(func_def_499,type,
    array_make: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_500,type,
    array_map_entry: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * array(X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_501,type,
    array_new: 
      !>[X0: $tType] : ( ( nat * X0 ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_502,type,
    array_nth: 
      !>[X0: $tType] : ( ( array(X0) * nat ) > heap_Time_Heap(X0) ) ).

tff(func_def_503,type,
    array_of_list: 
      !>[X0: $tType] : ( list(X0) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_504,type,
    array_set: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_505,type,
    array_swap: 
      !>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_506,type,
    array_upd: 
      !>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_507,type,
    array_update: 
      !>[X0: $tType] : ( ( array(X0) * nat * X0 * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_508,type,
    abs_assn: fun(fun(product_prod(heap_ext(product_unit),set(nat)),$o),assn) ).

tff(func_def_509,type,
    rep_assn: fun(assn,fun(product_prod(heap_ext(product_unit),set(nat)),$o)) ).

tff(func_def_510,type,
    ex_assn: 
      !>[X0: $tType] : ( fun(X0,assn) > assn ) ).

tff(func_def_511,type,
    in_range: fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_512,type,
    in_range_rel: fun(product_prod(heap_ext(product_unit),set(nat)),fun(product_prod(heap_ext(product_unit),set(nat)),$o)) ).

tff(func_def_513,type,
    one_assn_raw: fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_514,type,
    one_assn_raw_rel: fun(product_prod(heap_ext(product_unit),set(nat)),fun(product_prod(heap_ext(product_unit),set(nat)),$o)) ).

tff(func_def_515,type,
    proper: fun(fun(product_prod(heap_ext(product_unit),set(nat)),$o),$o) ).

tff(func_def_516,type,
    pure_assn: $o > assn ).

tff(func_def_517,type,
    pure_assn_raw: 
      !>[X0: $tType,X1: $tType] : ( $o > fun(product_prod(X0,set(X1)),$o) ) ).

tff(func_def_518,type,
    pure_assn_raw_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod($o,product_prod(X0,set(X1))),fun(product_prod($o,product_prod(X0,set(X1))),$o)) ).

tff(func_def_519,type,
    snga_assn: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) ) > assn ) ).

tff(func_def_520,type,
    snga_assn_raw: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) ) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ) ).

tff(func_def_521,type,
    snga_assn_raw_rel: 
      !>[X0: $tType] : fun(product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))),$o)) ).

tff(func_def_522,type,
    sngr_assn: 
      !>[X0: $tType] : ( ( ref(X0) * X0 ) > assn ) ).

tff(func_def_523,type,
    sngr_assn_raw: 
      !>[X0: $tType] : ( ( ref(X0) * X0 ) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ) ).

tff(func_def_524,type,
    sngr_assn_raw_rel: 
      !>[X0: $tType] : fun(product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))),$o)) ).

tff(func_def_525,type,
    times_assn_raw: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) ) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_526,type,
    times_assn_raw_rel: fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))),$o)) ).

tff(func_def_527,type,
    wand_assn: ( assn * assn ) > assn ).

tff(func_def_528,type,
    wand_raw: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) ) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_529,type,
    wand_raw_rel: fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))),$o)) ).

tff(func_def_530,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_531,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_532,type,
    bNF_Cardinal_cone: set(product_prod(product_unit,product_unit)) ).

tff(func_def_533,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_534,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_535,type,
    bNF_Cardinal_ctwo: set(product_prod($o,$o)) ).

tff(func_def_536,type,
    bNF_Cardinal_czero: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_537,type,
    bNF_Ca8387033319878233205ardSuc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_538,type,
    bNF_Ca6860139660246222851ard_of: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_539,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

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

tff(func_def_541,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

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

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

tff(func_def_544,type,
    bNF_fstOp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) * product_prod(X0,X2) ) > product_prod(X0,X1) ) ).

tff(func_def_545,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_546,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_547,type,
    bNF_rel_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(set(X0),fun(set(X1),$o)) ) ).

tff(func_def_548,type,
    bNF_sndOp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).

tff(func_def_549,type,
    bNF_Gr5436034075474128252omCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * X1 ) > X0 ) ).

tff(func_def_550,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_551,type,
    bNF_Gr4221423524335903396lImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_552,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_553,type,
    bNF_Greatest_toCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > fun(X0,X1) ) ).

tff(func_def_554,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_555,type,
    bNF_We4925052301507509544nc_map: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).

tff(func_def_556,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_557,type,
    bNF_Wellorder_curr: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(product_prod(X0,X1),X2) * X0 ) > fun(X1,X2) ) ).

tff(func_def_558,type,
    bNF_We2720479622203943262_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_559,type,
    bNF_We413866401316099525erIncl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

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

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

tff(func_def_562,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_563,type,
    bNF_We8469521843155493636filter: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(set(product_prod(X0,X0)),set(X0)) ) ).

tff(func_def_564,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_565,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_566,type,
    bNF_Wellorder_wo_suc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

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

tff(func_def_568,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_569,type,
    basic_setl: 
      !>[X0: $tType,X1: $tType] : fun(sum_sum(X0,X1),set(X0)) ).

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

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

tff(func_def_572,type,
    binomial: ( nat * nat ) > nat ).

tff(func_def_573,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_574,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_575,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_576,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_577,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_578,type,
    bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_579,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_580,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_581,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_582,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_583,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_584,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_585,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_586,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_587,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_588,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_589,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_590,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_591,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_592,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_593,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_594,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_595,type,
    bit_un6697907153464112080or_num: ( num * num ) > num ).

tff(func_def_596,type,
    bit_un4773296044027857193um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_597,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_598,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_599,type,
    code_Suc: code_natural > code_natural ).

tff(func_def_600,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_601,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_602,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_603,type,
    code_nat_of_natural: code_natural > nat ).

tff(func_def_604,type,
    code_natural_of_nat: nat > code_natural ).

tff(func_def_605,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

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

tff(func_def_607,type,
    comple187402453842119260l_fixp: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_608,type,
    comple115746919287870866o_fixp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_609,type,
    comple6359979572994053840erates: 
      !>[X0: $tType] : ( fun(X0,X0) > set(X0) ) ).

tff(func_def_610,type,
    nth_item_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_611,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_612,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_613,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_614,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_615,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > set(X1) ) ).

tff(func_def_616,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_617,type,
    euclid6346220572633701492n_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_618,type,
    euclid7384307370059645450egment: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_619,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_620,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_621,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_622,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_623,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_624,type,
    cofinite: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_625,type,
    abs_filter: 
      !>[X0: $tType] : ( fun(fun(X0,$o),$o) > filter(X0) ) ).

tff(func_def_626,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

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

tff(func_def_628,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_629,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_630,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_631,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_632,type,
    finite_card: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_633,type,
    finite_finite: 
      !>[X0: $tType] : fun(set(X0),$o) ).

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

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

tff(func_def_636,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

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

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

tff(func_def_639,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_640,type,
    override_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_641,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_642,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_643,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_644,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_645,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_646,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_647,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_648,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_649,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_650,type,
    gcd_Lcm: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_651,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_652,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_653,type,
    bounde2362111253966948842tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).

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

tff(func_def_655,type,
    gcd_lcm: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_656,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_657,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_658,type,
    semiring_gcd_Lcm_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_659,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_660,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

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

tff(func_def_662,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

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

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

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

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

tff(func_def_667,type,
    groups3894954378712506084id_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_668,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_669,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_670,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_671,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_672,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_673,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_674,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_675,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_676,type,
    groups_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(list(X0),X0) ) ).

tff(func_def_677,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

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

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

tff(func_def_680,type,
    addr_of_array: 
      !>[X0: $tType] : ( array(X0) > nat ) ).

tff(func_def_681,type,
    addr_of_ref: 
      !>[X0: $tType] : ( ref(X0) > nat ) ).

tff(func_def_682,type,
    array2: 
      !>[X0: $tType] : ( nat > array(X0) ) ).

tff(func_def_683,type,
    set_array: 
      !>[X0: $tType] : ( array(X0) > set(X0) ) ).

tff(func_def_684,type,
    arrays: 
      !>[X0: $tType] : ( ( heap_ext(X0) * typerep * nat ) > list(nat) ) ).

tff(func_def_685,type,
    lim: 
      !>[X0: $tType] : ( heap_ext(X0) > nat ) ).

tff(func_def_686,type,
    lim_update: 
      !>[X0: $tType] : ( ( fun(nat,nat) * heap_ext(X0) ) > heap_ext(X0) ) ).

tff(func_def_687,type,
    refs: 
      !>[X0: $tType] : ( ( heap_ext(X0) * typerep * nat ) > nat ) ).

tff(func_def_688,type,
    ref2: 
      !>[X0: $tType] : ( nat > ref(X0) ) ).

tff(func_def_689,type,
    set_ref: 
      !>[X0: $tType] : ( ref(X0) > set(X0) ) ).

tff(func_def_690,type,
    heap_Time_Heap2: 
      !>[X0: $tType] : ( fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > heap_Time_Heap(X0) ) ).

tff(func_def_691,type,
    heap_Time_Heap_lub: 
      !>[X0: $tType] : ( set(heap_Time_Heap(X0)) > heap_Time_Heap(X0) ) ).

tff(func_def_692,type,
    heap_Time_assert: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > heap_Time_Heap(X0) ) ).

tff(func_def_693,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_694,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_695,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_696,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_697,type,
    heap_Time_return: 
      !>[X0: $tType] : ( X0 > heap_Time_Heap(X0) ) ).

tff(func_def_698,type,
    heap_Time_tap: 
      !>[X0: $tType] : ( fun(heap_ext(product_unit),X0) > heap_Time_Heap(X0) ) ).

tff(func_def_699,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_700,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_701,type,
    heap_Time_ureturn: 
      !>[X0: $tType] : ( X0 > heap_Time_Heap(X0) ) ).

tff(func_def_702,type,
    heap_Time_wait: nat > heap_Time_Heap(product_unit) ).

tff(func_def_703,type,
    hilbert_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

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

tff(func_def_705,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_706,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_707,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_708,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_709,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_710,type,
    nat2: int > nat ).

tff(func_def_711,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_712,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_713,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_714,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

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

tff(func_def_716,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_717,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_718,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_719,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_720,type,
    lattic8678736583308907530nf_fin: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_721,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_722,type,
    lattic5214292709420241887eutr_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_723,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(set(X0),X0) ) ).

tff(func_def_724,type,
    lattic4630905495605216202up_fin: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_725,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_726,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_727,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_728,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_729,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_730,type,
    count_list: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_731,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_732,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_733,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_734,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_735,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

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

tff(func_def_737,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_738,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_739,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_740,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_741,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_742,type,
    lexn: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat ) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_743,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_744,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * X1 * list(X1) ) > list(X1) ) ).

tff(func_def_745,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

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

tff(func_def_747,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

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

tff(func_def_749,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

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

tff(func_def_751,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

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

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

tff(func_def_754,type,
    set2: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_755,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_756,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_757,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_758,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

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

tff(func_def_760,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_761,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

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

tff(func_def_763,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_764,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_765,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_766,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_767,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_768,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_769,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_770,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_771,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_772,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_773,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_774,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_775,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_776,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_777,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_778,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_779,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_780,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_781,type,
    splice_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_782,type,
    successively_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_783,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_784,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_785,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_786,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_787,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_788,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

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

tff(func_def_790,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

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

tff(func_def_792,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_793,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_794,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_795,type,
    eps_Opt: 
      !>[X0: $tType] : ( fun(X0,$o) > option(X0) ) ).

tff(func_def_796,type,
    brk_rel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(product_prod($o,X0),product_prod($o,X1))) ) ).

tff(func_def_797,type,
    dflt_None_set: 
      !>[X0: $tType] : ( set(X0) > option(set(X0)) ) ).

tff(func_def_798,type,
    fun_of_rel: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > X1 ) ).

tff(func_def_799,type,
    list_all_zip_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))),$o)) ).

tff(func_def_800,type,
    list_collect_set: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * list(X0) ) > set(X1) ) ).

tff(func_def_801,type,
    map_mmupd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) * X1 ) > fun(X0,option(X1)) ) ).

tff(func_def_802,type,
    map_to_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_803,type,
    merge: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_804,type,
    merge_list: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_805,type,
    merge_list_rel: 
      !>[X0: $tType] : fun(product_prod(list(list(X0)),list(list(X0))),fun(product_prod(list(list(X0)),list(list(X0))),$o)) ).

tff(func_def_806,type,
    merge_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_807,type,
    mergesort_by_rel: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_808,type,
    merges9089515139780605204_merge: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_809,type,
    merges2244889521215249637ge_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))),fun(product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))),$o)) ).

tff(func_def_810,type,
    mergesort_by_rel_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_811,type,
    merges295452479951948502_split: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_812,type,
    merges7066485432131860899it_rel: 
      !>[X0: $tType] : fun(product_prod(product_prod(list(X0),list(X0)),list(X0)),fun(product_prod(product_prod(list(X0),list(X0)),list(X0)),$o)) ).

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

tff(func_def_814,type,
    pairself_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),product_prod(X0,X0)),fun(product_prod(fun(X0,X1),product_prod(X0,X0)),$o)) ).

tff(func_def_815,type,
    partition_rev: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_816,type,
    partition_rev_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))),fun(product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))),$o)) ).

tff(func_def_817,type,
    quicksort_by_rel: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_818,type,
    quicksort_by_rel_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))),fun(product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))),$o)) ).

tff(func_def_819,type,
    rel_of: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(product_prod(X0,X1),$o) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_820,type,
    rel_restrict: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_821,type,
    revg: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_822,type,
    revg_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_823,type,
    set_to_map: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_824,type,
    the_default: 
      !>[X0: $tType] : ( ( X0 * option(X0) ) > X0 ) ).

tff(func_def_825,type,
    uncurry: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_826,type,
    zipf: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * list(X0) * list(X1) ) > list(X2) ) ).

tff(func_def_827,type,
    zipf_rel: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(product_prod(fun(X0,fun(X1,X2)),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,fun(X1,X2)),product_prod(list(X0),list(X1))),$o)) ).

tff(func_def_828,type,
    add_mset: 
      !>[X0: $tType] : ( ( X0 * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_829,type,
    comm_m7189776963980413722m_mset: 
      !>[X0: $tType] : ( multiset(X0) > X0 ) ).

tff(func_def_830,type,
    comm_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(multiset(X0),X0) ) ).

tff(func_def_831,type,
    comm_m9189036328036947845d_mset: 
      !>[X0: $tType] : fun(multiset(X0),X0) ).

tff(func_def_832,type,
    fold_mset: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * multiset(X0) ) > X1 ) ).

tff(func_def_833,type,
    image_mset: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * multiset(X0) ) > multiset(X1) ) ).

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

tff(func_def_835,type,
    linorder_part: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > product_prod(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_836,type,
    ms_strict: set(product_prod(multiset(product_prod(nat,nat)),multiset(product_prod(nat,nat)))) ).

tff(func_def_837,type,
    ms_weak: set(product_prod(multiset(product_prod(nat,nat)),multiset(product_prod(nat,nat)))) ).

tff(func_def_838,type,
    mset: 
      !>[X0: $tType] : ( list(X0) > multiset(X0) ) ).

tff(func_def_839,type,
    mset_set: 
      !>[X0: $tType] : ( set(X0) > multiset(X0) ) ).

tff(func_def_840,type,
    mult: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(multiset(X0),multiset(X0))) ) ).

tff(func_def_841,type,
    mult1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(multiset(X0),multiset(X0))) ) ).

tff(func_def_842,type,
    abs_multiset: 
      !>[X0: $tType] : fun(fun(X0,nat),multiset(X0)) ).

tff(func_def_843,type,
    count: 
      !>[X0: $tType] : fun(multiset(X0),fun(X0,nat)) ).

tff(func_def_844,type,
    pcr_multiset: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(fun(X0,nat),fun(multiset(X1),$o)) ) ).

tff(func_def_845,type,
    replicate_mset: 
      !>[X0: $tType] : ( ( nat * X0 ) > multiset(X0) ) ).

tff(func_def_846,type,
    set_mset: 
      !>[X0: $tType] : fun(multiset(X0),set(X0)) ).

tff(func_def_847,type,
    subset_eq_mset_impl: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > option($o) ) ).

tff(func_def_848,type,
    subset751672762298770561pl_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_849,type,
    subset_mset: 
      !>[X0: $tType] : fun(multiset(X0),fun(multiset(X0),$o)) ).

tff(func_def_850,type,
    subseteq_mset: 
      !>[X0: $tType] : fun(multiset(X0),fun(multiset(X0),$o)) ).

tff(func_def_851,type,
    union_mset: 
      !>[X0: $tType] : fun(multiset(X0),fun(multiset(X0),multiset(X0))) ).

tff(func_def_852,type,
    suc: fun(nat,nat) ).

tff(func_def_853,type,
    compow: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_854,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_855,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_856,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_857,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_858,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_859,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_860,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_861,type,
    nat_prod_decode: nat > product_prod(nat,nat) ).

tff(func_def_862,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_863,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_864,type,
    nat_prod_encode: product_prod(nat,nat) > nat ).

tff(func_def_865,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_866,type,
    nat_set_encode: set(nat) > nat ).

tff(func_def_867,type,
    nat_sum_decode: nat > sum_sum(nat,nat) ).

tff(func_def_868,type,
    bitM: num > num ).

tff(func_def_869,type,
    inc: num > num ).

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

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

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

tff(func_def_873,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_874,type,
    bit0: fun(num,num) ).

tff(func_def_875,type,
    bit1: fun(num,num) ).

tff(func_def_876,type,
    one2: num ).

tff(func_def_877,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_878,type,
    num_of_nat: nat > num ).

tff(func_def_879,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_880,type,
    pred_numeral: num > nat ).

tff(func_def_881,type,
    sqr: num > num ).

tff(func_def_882,type,
    old_Atom: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,nat) > set(old_node(X0,X1)) ) ).

tff(func_def_883,type,
    old_In0: 
      !>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).

tff(func_def_884,type,
    old_In1: 
      !>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).

tff(func_def_885,type,
    old_Node: 
      !>[X0: $tType,X1: $tType] : set(product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat))) ).

tff(func_def_886,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_887,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_888,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_889,type,
    old_ndepth: 
      !>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > nat ) ).

tff(func_def_890,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_891,type,
    old_ntrunc: 
      !>[X0: $tType,X1: $tType] : ( ( nat * set(old_node(X0,X1)) ) > set(old_node(X0,X1)) ) ).

tff(func_def_892,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_893,type,
    none: 
      !>[X0: $tType] : option(X0) ).

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

tff(func_def_895,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

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

tff(func_def_897,type,
    set_option: 
      !>[X0: $tType] : ( option(X0) > set(X0) ) ).

tff(func_def_898,type,
    the2: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_899,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_900,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_901,type,
    order_AboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_902,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_903,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_904,type,
    order_above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_905,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_906,type,
    order_relation_of: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_907,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_908,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_909,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_910,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_911,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_912,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_913,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_914,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_915,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

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

tff(func_def_917,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_918,type,
    top_top: 
      !>[X0: $tType] : X0 ).

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

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

tff(func_def_921,type,
    partial_fun_lub: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(set(X0),X1) > fun(set(fun(X2,X0)),fun(X2,X1)) ) ).

tff(func_def_922,type,
    partial_fun_ord: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,$o)) > fun(fun(X2,X0),fun(fun(X2,X1),$o)) ) ).

tff(func_def_923,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_924,type,
    seq2: 
      !>[X0: $tType] : ( fun(product_unit,seq(X0)) > pred(X0) ) ).

tff(func_def_925,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( pred(X0) * fun(X0,pred(X1)) ) > pred(X1) ) ).

tff(func_def_926,type,
    if_pred: $o > pred(product_unit) ).

tff(func_def_927,type,
    iterate_upto: 
      !>[X0: $tType] : ( ( fun(code_natural,X0) * code_natural * code_natural ) > pred(X0) ) ).

tff(func_def_928,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_929,type,
    not_pred: pred(product_unit) > pred(product_unit) ).

tff(func_def_930,type,
    pred2: 
      !>[X0: $tType] : ( fun(X0,$o) > pred(X0) ) ).

tff(func_def_931,type,
    eval: 
      !>[X0: $tType] : ( pred(X0) > fun(X0,$o) ) ).

tff(func_def_932,type,
    pred_of_seq: 
      !>[X0: $tType] : ( seq(X0) > pred(X0) ) ).

tff(func_def_933,type,
    pred_of_set: 
      !>[X0: $tType] : ( set(X0) > pred(X0) ) ).

tff(func_def_934,type,
    empty: 
      !>[X0: $tType] : seq(X0) ).

tff(func_def_935,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * pred(X0) ) > seq(X0) ) ).

tff(func_def_936,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_937,type,
    set_of_pred: 
      !>[X0: $tType] : ( pred(X0) > set(X0) ) ).

tff(func_def_938,type,
    set_of_seq: 
      !>[X0: $tType] : ( seq(X0) > set(X0) ) ).

tff(func_def_939,type,
    single: 
      !>[X0: $tType] : fun(X0,pred(X0)) ).

tff(func_def_940,type,
    singleton: 
      !>[X0: $tType] : ( ( fun(product_unit,X0) * pred(X0) ) > X0 ) ).

tff(func_def_941,type,
    predic7144156976422707464s_pred: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > pred(product_unit) ) ).

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

tff(func_def_943,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_944,type,
    product_Unity: product_unit ).

tff(func_def_945,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).

tff(func_def_946,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_947,type,
    product_curry: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X0,X1),X2) * X0 * X1 ) > X2 ) ).

tff(func_def_948,type,
    produc5280177257484947105e_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_949,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_950,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_951,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_952,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

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

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

tff(func_def_955,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_956,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_957,type,
    product_Abs_unit: fun($o,product_unit) ).

tff(func_def_958,type,
    product_Rep_unit: fun(product_unit,$o) ).

tff(func_def_959,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_960,type,
    inc_shift: ( code_natural * code_natural ) > code_natural ).

tff(func_def_961,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_962,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_963,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_964,type,
    log_rel: fun(product_prod(code_natural,code_natural),fun(product_prod(code_natural,code_natural),$o)) ).

tff(func_def_965,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_966,type,
    next: fun(product_prod(code_natural,code_natural),product_prod(code_natural,product_prod(code_natural,code_natural))) ).

tff(func_def_967,type,
    pick: 
      !>[X0: $tType] : ( ( list(product_prod(code_natural,X0)) * code_natural ) > X0 ) ).

tff(func_def_968,type,
    range: code_natural > fun(product_prod(code_natural,code_natural),product_prod(code_natural,product_prod(code_natural,code_natural))) ).

tff(func_def_969,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_970,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_971,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_972,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_973,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)))) * product_prod(code_natural,code_natural) ) > product_prod(pred(X1),product_prod(code_natural,code_natural)) ) ).

tff(func_def_974,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_975,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_976,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_977,type,
    random_single: 
      !>[X0: $tType] : ( X0 > fun(product_prod(code_natural,code_natural),product_prod(pred(X0),product_prod(code_natural,code_natural))) ) ).

tff(func_def_978,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_979,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_980,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_981,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_982,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_983,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : ( rat > X0 ) ).

tff(func_def_984,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_985,type,
    of_int: int > rat ).

tff(func_def_986,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_987,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_988,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_989,type,
    ref_alloc: 
      !>[X0: $tType] : ( ( X0 * heap_ext(product_unit) ) > product_prod(ref(X0),heap_ext(product_unit)) ) ).

tff(func_def_990,type,
    ref_change: 
      !>[X0: $tType] : ( ( fun(X0,X0) * ref(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_991,type,
    ref_get: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * ref(X0) ) > X0 ) ).

tff(func_def_992,type,
    ref_lookup: 
      !>[X0: $tType] : ( ref(X0) > heap_Time_Heap(X0) ) ).

tff(func_def_993,type,
    ref_ref: 
      !>[X0: $tType] : ( X0 > heap_Time_Heap(ref(X0)) ) ).

tff(func_def_994,type,
    ref_set: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_995,type,
    ref_update: 
      !>[X0: $tType] : ( ( ref(X0) * X0 ) > heap_Time_Heap(product_unit) ) ).

tff(func_def_996,type,
    domain: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(X0) ) ).

tff(func_def_997,type,
    domainp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X0,$o) ) ).

tff(func_def_998,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_999,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1000,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1001,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1002,type,
    range2: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(X1) ) ).

tff(func_def_1003,type,
    rangep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,$o) ) ).

tff(func_def_1004,type,
    converse: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(X1,X0)) ) ).

tff(func_def_1005,type,
    conversep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,fun(X0,$o)) ) ).

tff(func_def_1006,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1007,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_1008,type,
    relcompp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) ) > fun(X0,fun(X2,$o)) ) ).

tff(func_def_1009,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1010,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1011,type,
    normal6383669964737779283malize: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1012,type,
    unit_f5069060285200089521factor: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1013,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1014,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1015,type,
    pow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1016,type,
    bind2: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(X1) ) ).

tff(func_def_1017,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1018,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1019,type,
    insert2: 
      !>[X0: $tType] : ( X0 > fun(set(X0),set(X0)) ) ).

tff(func_def_1020,type,
    remove: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1021,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1022,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1023,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1024,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_1025,type,
    set_atLeast: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > set(X0) ) ).

tff(func_def_1026,type,
    set_atLeastAtMost: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > set(X0) ) ).

tff(func_def_1027,type,
    set_atLeastLessThan: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > set(X0) ) ).

tff(func_def_1028,type,
    set_atMost: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > set(X0) ) ).

tff(func_def_1029,type,
    set_gr3752724095348155675AtMost: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > set(X0) ) ).

tff(func_def_1030,type,
    set_gr287244882034783167ssThan: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > set(X0) ) ).

tff(func_def_1031,type,
    set_lessThan: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > set(X0) ) ).

tff(func_def_1032,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1033,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1034,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1035,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1036,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1037,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1038,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1039,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1040,type,
    sum_Inl: 
      !>[X0: $tType,X1: $tType] : fun(X0,sum_sum(X0,X1)) ).

tff(func_def_1041,type,
    sum_Inr: 
      !>[X0: $tType,X1: $tType] : fun(X0,sum_sum(X1,X0)) ).

tff(func_def_1042,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_1043,type,
    sum_case_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) ) > fun(sum_sum(X0,X2),X1) ) ).

tff(func_def_1044,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1045,type,
    transitive_rtranclp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1046,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1047,type,
    transitive_tranclp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1048,type,
    acc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1049,type,
    accp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,$o) ) ).

tff(func_def_1050,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1051,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_1052,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_1053,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1054,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1055,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1056,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1057,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1058,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1059,type,
    cut: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(product_prod(X0,X0)) * X0 ) > fun(X0,X1) ) ).

tff(func_def_1060,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_1061,type,
    chains: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(set(X0)) ) ).

tff(func_def_1062,type,
    chains2: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1063,type,
    init_seg_of: 
      !>[X0: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) ).

tff(func_def_1064,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_1065,type,
    pred_s596693808085603175closed: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > set(set(X0)) ) ).

tff(func_def_1066,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1067,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1068,type,
    fNot: fun($o,$o) ).

tff(func_def_1069,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1070,type,
    a2: assn ).

tff(func_def_1071,type,
    b2: assn ).

tff(func_def_1072,type,
    c: assn ).

tff(func_def_1073,type,
    m0: 
      !>[X0: $tType] : X0 ).

tff(func_def_1074,type,
    w1: 
      !>[X0: $tType] : X0 ).

tff(func_def_1075,type,
    w2: 
      !>[X0: $tType] : X0 ).

tff(func_def_1076,type,
    l3: 
      !>[X0: $tType] : X0 ).

tff(func_def_1077,type,
    a34: int ).

tff(func_def_1078,type,
    a35: int ).

tff(func_def_1079,type,
    m6: 
      !>[X0: $tType] : X0 ).

tff(func_def_1080,type,
    v7: code_natural ).

tff(func_def_1081,type,
    w28: code_natural ).

tff(func_def_1082,type,
    l9: nat ).

tff(func_def_1083,type,
    r10: 
      !>[X0: $tType] : array(X0) ).

tff(func_def_1084,type,
    l11: nat ).

tff(func_def_1085,type,
    r12: 
      !>[X0: $tType] : ref(X0) ).

tff(func_def_1086,type,
    x13: b ).

tff(func_def_1089,type,
    sK24: assn > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1090,type,
    sK25: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1091,type,
    sK26: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1092,type,
    sK27: assn > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1093,type,
    sK28: ( assn * assn ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1094,type,
    sK29: ( assn * assn ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1095,type,
    sK30: ( assn * assn ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1096,type,
    sK31: ( assn * assn ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1097,type,
    sK32: assn > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1098,type,
    sK33: assn > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1099,type,
    sK34: assn > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1100,type,
    sK35: assn > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1101,type,
    sK36: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1102,type,
    sK37: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1103,type,
    sK38: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1104,type,
    sK39: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1105,type,
    sK40: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1106,type,
    sK41: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1107,type,
    sK42: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1108,type,
    sK43: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1109,type,
    sK44: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1110,type,
    sK45: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1111,type,
    sK46: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * assn ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1112,type,
    sK47: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * assn ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1113,type,
    sK48: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1114,type,
    sK49: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1115,type,
    sK50: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1116,type,
    sK51: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1117,type,
    sK52: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1118,type,
    sK53: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1119,type,
    sK54: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1120,type,
    sK55: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1121,type,
    sK56: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1122,type,
    sK57: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1123,type,
    sK58: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_1124,type,
    sK59: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_1125,type,
    sK60: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1126,type,
    sK61: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1127,type,
    sK62: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > assn ).

tff(func_def_1128,type,
    sK63: fun(fun(product_prod(heap_ext(product_unit),set(nat)),$o),$o) > assn ).

tff(func_def_1129,type,
    sK64: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) * $o ) > X1 ) ).

tff(func_def_1130,type,
    sK65: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) * $o ) > set(X0) ) ).

tff(func_def_1131,type,
    sK67: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > X1 ) ).

tff(func_def_1132,type,
    sK68: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_1133,type,
    sK69: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > X1 ) ).

tff(func_def_1134,type,
    sK70: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_1135,type,
    sK71: assn > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_1136,type,
    sK72: fun(assn,$o) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_1137,type,
    sK73: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1138,type,
    sK74: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1139,type,
    sK75: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_1140,type,
    sK76: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_1141,type,
    sK77: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_1142,type,
    sK78: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_1143,type,
    sK79: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1144,type,
    sK80: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1145,type,
    sK81: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1146,type,
    sK82: ( assn * assn * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1147,type,
    sK83: ( assn * assn * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1148,type,
    sK84: ( assn * assn * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1149,type,
    sK85: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > heap_ext(product_unit) ).

tff(func_def_1150,type,
    sK86: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > heap_ext(product_unit) ).

tff(func_def_1151,type,
    sK87: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > set(nat) ).

tff(func_def_1152,type,
    sK88: product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_1153,type,
    sK89: product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))) > fun(product_prod(heap_ext(product_unit),set(nat)),$o) ).

tff(func_def_1154,type,
    sK90: product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))) > heap_ext(product_unit) ).

tff(func_def_1155,type,
    sK91: product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),$o),product_prod(heap_ext(product_unit),set(nat)))) > set(nat) ).

tff(func_def_1156,type,
    sK92: 
      !>[X0: $tType] : ( product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))) > ref(X0) ) ).

tff(func_def_1157,type,
    sK93: 
      !>[X0: $tType] : ( product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))) > X0 ) ).

tff(func_def_1158,type,
    sK94: 
      !>[X0: $tType] : ( product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))) > heap_ext(product_unit) ) ).

tff(func_def_1159,type,
    sK95: 
      !>[X0: $tType] : ( product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))) > set(nat) ) ).

tff(func_def_1160,type,
    sK96: 
      !>[X0: $tType] : ( product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))) > array(X0) ) ).

tff(func_def_1161,type,
    sK97: 
      !>[X0: $tType] : ( product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))) > list(X0) ) ).

tff(func_def_1162,type,
    sK98: 
      !>[X0: $tType] : ( product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))) > heap_ext(product_unit) ) ).

tff(func_def_1163,type,
    sK99: 
      !>[X0: $tType] : ( product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))) > set(nat) ) ).

tff(func_def_1164,type,
    sK100: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1165,type,
    sK101: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1166,type,
    sK102: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1167,type,
    sK103: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1168,type,
    sK104: 
      !>[X0: $tType] : X0 ).

tff(func_def_1169,type,
    sK105: 
      !>[X0: $tType] : X0 ).

tff(func_def_1170,type,
    sK106: 
      !>[X0: $tType] : X0 ).

tff(func_def_1171,type,
    sK107: 
      !>[X0: $tType] : X0 ).

tff(func_def_1172,type,
    sK108: 
      !>[X0: $tType] : X0 ).

tff(func_def_1173,type,
    sK109: 
      !>[X0: $tType] : X0 ).

tff(func_def_1174,type,
    sK111: 
      !>[X0: $tType,X1: $tType] : ( product_prod($o,product_prod(X0,set(X1))) > X0 ) ).

tff(func_def_1175,type,
    sK112: 
      !>[X0: $tType,X1: $tType] : ( product_prod($o,product_prod(X0,set(X1))) > set(X1) ) ).

tff(func_def_1176,type,
    sK113: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * heap_ext(product_unit) * set(nat) ) > heap_ext(product_unit) ).

tff(func_def_1177,type,
    sK114: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * heap_ext(product_unit) * set(nat) ) > set(nat) ).

tff(func_def_1178,type,
    sK115: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1179,type,
    sK116: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1180,type,
    sK117: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1181,type,
    sK118: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1182,type,
    sK119: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1183,type,
    sK120: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1184,type,
    sK121: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1185,type,
    sK122: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1186,type,
    sK123: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1187,type,
    sK124: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1188,type,
    sK125: 
      !>[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_1189,type,
    sK126: 
      !>[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_1190,type,
    sK127: 
      !>[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_1191,type,
    sK128: 
      !>[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_1192,type,
    sK129: 
      !>[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_1193,type,
    sK130: 
      !>[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_1194,type,
    sK131: 
      !>[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_1195,type,
    sK132: 
      !>[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_1196,type,
    sK133: 
      !>[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_1197,type,
    sK134: 
      !>[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_1198,type,
    sK135: 
      !>[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_1199,type,
    sK136: 
      !>[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_1200,type,
    sK137: 
      !>[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_1201,type,
    sK138: 
      !>[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_1202,type,
    sK139: 
      !>[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_1203,type,
    sK140: 
      !>[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_1204,type,
    sK141: 
      !>[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_1205,type,
    sK142: 
      !>[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_1206,type,
    sK143: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_1207,type,
    sK144: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_1208,type,
    sK145: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_1209,type,
    sK146: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_1210,type,
    sK147: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_1211,type,
    sK148: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_1212,type,
    sK149: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_1213,type,
    sK150: 
      !>[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_1214,type,
    sK151: 
      !>[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_1215,type,
    sK152: 
      !>[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_1216,type,
    sK153: 
      !>[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_1217,type,
    sK154: 
      !>[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_1218,type,
    sK155: 
      !>[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_1219,type,
    sK156: 
      !>[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_1220,type,
    sK157: 
      !>[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_1221,type,
    sK158: 
      !>[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_1222,type,
    sK159: 
      !>[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_1223,type,
    sK160: 
      !>[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_1224,type,
    sK161: 
      !>[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_1225,type,
    sK162: 
      !>[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_1226,type,
    sK163: 
      !>[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_1227,type,
    sK164: 
      !>[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_1228,type,
    sK165: 
      !>[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_1229,type,
    sK166: 
      !>[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_1230,type,
    sK167: 
      !>[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_1231,type,
    sK168: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_1232,type,
    sK169: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_1233,type,
    sK170: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_1234,type,
    sK171: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_1235,type,
    sK172: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_1236,type,
    sK173: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_1237,type,
    sK174: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_1238,type,
    sK175: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_1239,type,
    sK176: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_1240,type,
    sK177: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_1241,type,
    sK178: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_1242,type,
    sK179: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_1243,type,
    sK180: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_1244,type,
    sK181: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1245,type,
    sK182: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1246,type,
    sK183: ( heap_ext(product_unit) * set(nat) * assn * assn ) > heap_ext(product_unit) ).

tff(func_def_1247,type,
    sK184: ( heap_ext(product_unit) * set(nat) * assn * assn ) > set(nat) ).

tff(func_def_1248,type,
    sK185: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * heap_ext(product_unit) * set(nat) ) > set(nat) ).

tff(func_def_1249,type,
    sK186: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * heap_ext(product_unit) * set(nat) ) > set(nat) ).

tff(func_def_1250,type,
    sK187: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1251,type,
    sK188: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1252,type,
    sK189: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1253,type,
    sK190: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1254,type,
    sK191: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1255,type,
    sK192: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1256,type,
    sK193: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1257,type,
    sK194: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1258,type,
    sK195: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1259,type,
    sK196: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1260,type,
    sK197: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > set(nat) ).

tff(func_def_1261,type,
    sK198: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > heap_ext(product_unit) ).

tff(func_def_1262,type,
    sK199: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > set(nat) ).

tff(func_def_1263,type,
    sK200: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > heap_ext(product_unit) ).

tff(func_def_1264,type,
    sK201: fun(product_prod(heap_ext(product_unit),set(nat)),$o) > heap_ext(product_unit) ).

tff(func_def_1265,type,
    sK202: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1266,type,
    sK203: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1267,type,
    sK204: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1268,type,
    sK205: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1269,type,
    sK206: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1270,type,
    sK207: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1271,type,
    sK208: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1272,type,
    sK209: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1273,type,
    sK210: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1274,type,
    sK211: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1275,type,
    sK212: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1276,type,
    sK213: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1277,type,
    sK214: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1278,type,
    sK215: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ).

tff(func_def_1279,type,
    sK216: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1280,type,
    sK217: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1281,type,
    sK218: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ).

tff(func_def_1282,type,
    sK219: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_1283,type,
    sK220: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1284,type,
    sK221: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1285,type,
    sK222: ( fun(product_prod(heap_ext(product_unit),set(nat)),$o) * fun(product_prod(heap_ext(product_unit),set(nat)),$o) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_1286,type,
    sK225: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),product_prod(X1,X1)) > fun(X1,X0) ) ).

tff(func_def_1287,type,
    sK226: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),product_prod(X1,X1)) > X1 ) ).

tff(func_def_1288,type,
    sK227: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),product_prod(X1,X1)) > X1 ) ).

tff(func_def_1289,type,
    sK228: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1290,type,
    sK229: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1291,type,
    sK230: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1292,type,
    sK231: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * product_prod(X1,X1) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_1293,type,
    sK232: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * product_prod(X1,X1) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_1294,type,
    sK233: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X0,set(X1)) * $o ) > X0 ) ).

tff(func_def_1295,type,
    sK234: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X0,set(X1)) * $o ) > set(X1) ) ).

tff(func_def_1296,type,
    sK237: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > X1 ) ).

tff(func_def_1297,type,
    sK238: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_1298,type,
    sK241: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > X1 ) ).

tff(func_def_1299,type,
    sK242: 
      !>[X0: $tType,X1: $tType] : ( ( $o * product_prod(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_1300,type,
    sK245: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * product_prod(X1,X1) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_1301,type,
    sK246: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * product_prod(X1,X1) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_1302,type,
    sK247: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_1303,type,
    sK250: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1304,type,
    sK251: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1305,type,
    sK252: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1306,type,
    sK253: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1307,type,
    sK254: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1308,type,
    sK255: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1309,type,
    sK256: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1310,type,
    sK257: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1311,type,
    sK258: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1312,type,
    sK259: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1313,type,
    sK260: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1314,type,
    sK261: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1315,type,
    sK262: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1316,type,
    sK263: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1317,type,
    sK264: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_1318,type,
    sK265: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_1319,type,
    sK266: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1320,type,
    sK267: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1321,type,
    sK268: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1322,type,
    sK269: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1323,type,
    sK270: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1324,type,
    sK271: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1325,type,
    sK272: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1326,type,
    sK273: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1327,type,
    sK274: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1328,type,
    sK275: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1329,type,
    sK276: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1330,type,
    sK277: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1331,type,
    sK278: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1332,type,
    sK279: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1333,type,
    sK280: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1334,type,
    sK281: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1335,type,
    sK282: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_1336,type,
    sK283: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_1337,type,
    sK284: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1338,type,
    sK285: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1339,type,
    sK286: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1340,type,
    sK287: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1341,type,
    sK288: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1342,type,
    sK289: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1343,type,
    sK290: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1344,type,
    sK291: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1345,type,
    sK292: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1346,type,
    sK293: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1347,type,
    sK294: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1348,type,
    sK295: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1349,type,
    sK296: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1350,type,
    sK297: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1351,type,
    sK298: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1352,type,
    sK299: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1353,type,
    sK300: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1354,type,
    sK301: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1355,type,
    sK302: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1356,type,
    sK303: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1357,type,
    sK304: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1358,type,
    sK306: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1359,type,
    sK307: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1360,type,
    sK308: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1361,type,
    sK309: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1362,type,
    sK311: ( assn * product_prod(heap_ext(product_unit),set(nat)) ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1363,type,
    sK312: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1364,type,
    sK313: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1365,type,
    sK314: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1366,type,
    sK315: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1367,type,
    sK316: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1368,type,
    sK317: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1369,type,
    sK318: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1370,type,
    sK319: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1371,type,
    sK320: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1372,type,
    sK321: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1373,type,
    sK322: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1374,type,
    sK323: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1375,type,
    sK324: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1376,type,
    sK325: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1377,type,
    sK326: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1378,type,
    sK327: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1379,type,
    sK328: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1380,type,
    sK329: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1381,type,
    sK330: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1382,type,
    sK331: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1383,type,
    sK332: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1384,type,
    sK333: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1385,type,
    sK334: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1386,type,
    sK335: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1387,type,
    sK336: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1388,type,
    sK337: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1389,type,
    sK338: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_1390,type,
    sK339: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1391,type,
    sK340: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1392,type,
    sK341: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1393,type,
    sK342: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1394,type,
    sK343: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1395,type,
    sK344: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1396,type,
    sK345: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1397,type,
    sK346: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1398,type,
    sK347: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1399,type,
    sK348: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1400,type,
    sK349: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1401,type,
    sK350: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1402,type,
    sK351: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1403,type,
    sK352: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1404,type,
    sK353: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1405,type,
    sK354: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1406,type,
    sK355: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1407,type,
    sK356: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1408,type,
    sK357: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1409,type,
    sK358: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1410,type,
    sK359: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1411,type,
    sK360: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1412,type,
    sK361: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1413,type,
    sK362: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1414,type,
    sK363: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1415,type,
    sK366: product_prod(num,num) > num ).

tff(func_def_1416,type,
    sK367: product_prod(num,num) > num ).

tff(func_def_1417,type,
    sK368: product_prod(num,num) > num ).

tff(func_def_1418,type,
    sK369: product_prod(num,num) > num ).

tff(func_def_1419,type,
    sK370: product_prod(num,num) > num ).

tff(func_def_1420,type,
    sK371: product_prod(num,num) > num ).

tff(func_def_1421,type,
    sK372: product_prod(num,num) > num ).

tff(func_def_1422,type,
    sK373: product_prod(num,num) > num ).

tff(func_def_1423,type,
    sK374: product_prod(num,num) > num ).

tff(func_def_1424,type,
    sK375: product_prod(num,num) > num ).

tff(func_def_1425,type,
    sK376: product_prod(num,num) > num ).

tff(func_def_1426,type,
    sK377: product_prod(num,num) > num ).

tff(func_def_1427,type,
    sK378: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1428,type,
    sK379: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1429,type,
    sK381: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1430,type,
    sK382: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1431,type,
    sK383: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1432,type,
    sK384: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1433,type,
    sK385: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1434,type,
    sK386: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_1435,type,
    sK387: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1436,type,
    sK388: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1437,type,
    sK389: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_1438,type,
    sK390: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_1439,type,
    sK391: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_1440,type,
    sK392: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_1441,type,
    sK393: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > X0 ) ).

tff(func_def_1442,type,
    sK394: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1443,type,
    sK395: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_1444,type,
    sK396: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_1445,type,
    sK397: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_1446,type,
    sK398: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_1447,type,
    sK399: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1448,type,
    sK400: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1449,type,
    sK401: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1450,type,
    sK402: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1451,type,
    sK403: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1452,type,
    sK404: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1453,type,
    sK405: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1454,type,
    sK406: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1455,type,
    sK407: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1456,type,
    sK408: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1457,type,
    sK409: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1458,type,
    sK410: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1459,type,
    sK411: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1460,type,
    sK412: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1461,type,
    sK413: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1462,type,
    sK414: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1463,type,
    sK415: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1464,type,
    sK416: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1465,type,
    sK417: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1466,type,
    sK418: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1467,type,
    sK419: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1468,type,
    sK420: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1469,type,
    sK421: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1470,type,
    sK422: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1471,type,
    sK423: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1472,type,
    sK424: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1473,type,
    sK425: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1474,type,
    sK426: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1475,type,
    sK427: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1476,type,
    sK429: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1477,type,
    sK430: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1478,type,
    sK431: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1479,type,
    sK432: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1480,type,
    sK433: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1481,type,
    sK434: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_1482,type,
    sK435: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_1483,type,
    sK436: fun(int,fun(int,$o)) > int ).

tff(func_def_1484,type,
    sK437: fun(int,fun(int,$o)) > int ).

tff(func_def_1485,type,
    sK438: fun(int,fun(int,$o)) > int ).

tff(func_def_1486,type,
    sK439: fun(int,fun(int,$o)) > int ).

tff(func_def_1487,type,
    sK440: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1488,type,
    sK441: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1489,type,
    sK442: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1490,type,
    sK443: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1491,type,
    sK444: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1492,type,
    sK445: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1493,type,
    sK446: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1494,type,
    sK447: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1495,type,
    sK448: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1496,type,
    sK449: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1497,type,
    sK450: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1498,type,
    sK451: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1499,type,
    sK452: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1500,type,
    sK453: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1501,type,
    sK454: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_1502,type,
    sK455: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1503,type,
    sK456: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_1504,type,
    sK457: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1505,type,
    sK458: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1506,type,
    sK459: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1507,type,
    sK460: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1508,type,
    sK461: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1509,type,
    sK462: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1510,type,
    sK463: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1511,type,
    sK464: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1512,type,
    sK465: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1513,type,
    sK466: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1514,type,
    sK467: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1515,type,
    sK468: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1516,type,
    sK469: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1517,type,
    sK470: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1518,type,
    sK471: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1519,type,
    sK472: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1520,type,
    sK473: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1521,type,
    sK474: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1522,type,
    sK475: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1523,type,
    sK476: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1524,type,
    sK477: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1525,type,
    sK478: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1526,type,
    sK479: 
      !>[X0: $tType] : X0 ).

tff(func_def_1527,type,
    sK480: 
      !>[X0: $tType] : X0 ).

tff(func_def_1528,type,
    sK481: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1529,type,
    sK482: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1530,type,
    sK483: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1531,type,
    sK484: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1532,type,
    sK485: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_1533,type,
    sK486: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_1534,type,
    sK487: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1535,type,
    sK488: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1536,type,
    sK489: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1537,type,
    sK490: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1538,type,
    sK491: 
      !>[X0: $tType] : X0 ).

tff(func_def_1539,type,
    sK492: 
      !>[X0: $tType] : X0 ).

tff(func_def_1540,type,
    sK493: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1541,type,
    sK494: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1542,type,
    sK495: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1543,type,
    sK496: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1544,type,
    sK497: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1545,type,
    sK498: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1546,type,
    sK499: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1547,type,
    sK500: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1548,type,
    sK501: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1549,type,
    sK502: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1550,type,
    sK503: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1551,type,
    sK504: 
      !>[X0: $tType] : X0 ).

tff(func_def_1552,type,
    sK505: 
      !>[X0: $tType] : X0 ).

tff(func_def_1553,type,
    sK506: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1554,type,
    sK507: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_1555,type,
    sK508: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1556,type,
    sK509: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1557,type,
    sK510: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1558,type,
    sK511: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1559,type,
    sK512: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1560,type,
    sK513: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1561,type,
    sK514: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1562,type,
    sK515: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1563,type,
    sK516: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1564,type,
    sK517: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1565,type,
    sK518: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1566,type,
    sK519: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_1567,type,
    sK520: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_1568,type,
    sK521: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1569,type,
    sK522: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1570,type,
    sK523: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1571,type,
    sK524: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1572,type,
    sK528: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1573,type,
    sK529: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1574,type,
    sK530: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1575,type,
    sK531: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1576,type,
    sK532: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1577,type,
    sK533: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1578,type,
    sK534: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1579,type,
    sK535: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1580,type,
    sK536: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1581,type,
    sK537: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1582,type,
    sK538: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1583,type,
    sK539: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1584,type,
    sK540: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1585,type,
    sK541: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1586,type,
    sK542: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1587,type,
    sK543: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1588,type,
    sK544: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1589,type,
    sK545: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1590,type,
    sK546: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1591,type,
    sK547: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1592,type,
    sK548: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1593,type,
    sK549: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1594,type,
    sK550: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1595,type,
    sK551: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1596,type,
    sK552: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1597,type,
    sK553: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1598,type,
    sK554: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1599,type,
    sK555: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1600,type,
    sK556: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_1601,type,
    sK557: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1602,type,
    sK558: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1603,type,
    sK559: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1604,type,
    sK560: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1605,type,
    sK561: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1606,type,
    sK562: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_1607,type,
    sK563: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_1608,type,
    sK564: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_1609,type,
    sK565: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_1610,type,
    sK566: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_1611,type,
    sK567: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_1612,type,
    sK568: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_1613,type,
    sK569: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1614,type,
    sK570: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_1615,type,
    sK571: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_1616,type,
    sK572: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_1617,type,
    sK573: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_1618,type,
    sK574: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1619,type,
    sK575: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1620,type,
    sK576: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_1621,type,
    sK577: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_1622,type,
    sK578: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_1623,type,
    sK579: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_1624,type,
    sK580: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_1625,type,
    sK581: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_1626,type,
    sK582: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1627,type,
    sK583: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1628,type,
    sK584: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1629,type,
    sK585: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1630,type,
    sK586: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1631,type,
    sK587: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1632,type,
    sK588: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1633,type,
    sK589: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1634,type,
    sK590: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1635,type,
    sK591: set(nat) > nat ).

tff(func_def_1636,type,
    sK592: set(nat) > nat ).

tff(func_def_1637,type,
    sK593: int > nat ).

tff(func_def_1638,type,
    sK594: int > nat ).

tff(func_def_1639,type,
    sK595: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1640,type,
    sK596: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1641,type,
    sK597: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1642,type,
    sK598: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1643,type,
    sK599: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1644,type,
    sK600: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1645,type,
    sK601: 
      !>[X0: $tType] : ( ( fun(X0,assn) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1646,type,
    sK602: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1647,type,
    sK603: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1648,type,
    sK604: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1649,type,
    sK605: 
      !>[X0: $tType] : ( ( fun(X0,assn) * product_prod(heap_ext(product_unit),set(nat)) ) > X0 ) ).

tff(func_def_1650,type,
    sK606: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1651,type,
    sK607: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1652,type,
    sK608: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1653,type,
    sK609: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1654,type,
    sK610: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1655,type,
    sK611: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1656,type,
    sK612: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1657,type,
    sK613: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_1658,type,
    sK614: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_1659,type,
    sK615: 
      !>[X0: $tType] : ( ( fun(X0,assn) * X0 ) > product_prod(heap_ext(product_unit),set(nat)) ) ).

tff(func_def_1660,type,
    sK616: 
      !>[X0: $tType] : ( ( fun(X0,assn) * X0 ) > X0 ) ).

tff(func_def_1661,type,
    sK617: 
      !>[X0: $tType] : ( ( fun(X0,assn) * product_prod(heap_ext(product_unit),set(nat)) ) > X0 ) ).

tff(func_def_1662,type,
    sK618: 
      !>[X0: $tType] : ( ( fun(X0,assn) * assn ) > X0 ) ).

tff(func_def_1663,type,
    sK619: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1664,type,
    sK620: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1665,type,
    sK621: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1666,type,
    sK622: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1667,type,
    sK623: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1668,type,
    sK624: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1669,type,
    sK625: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1670,type,
    sK626: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1671,type,
    sK627: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1672,type,
    sK628: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1673,type,
    sK629: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_1674,type,
    sK630: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_1675,type,
    sK631: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1676,type,
    sK632: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1677,type,
    sK633: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_1678,type,
    sK634: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1679,type,
    sK635: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1680,type,
    sK636: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1681,type,
    sK637: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1682,type,
    sK638: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1683,type,
    sK639: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1684,type,
    sK640: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1685,type,
    sK641: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1686,type,
    sK642: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_1687,type,
    sK643: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_1688,type,
    sK644: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1689,type,
    sK645: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1690,type,
    sK646: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1691,type,
    sK647: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1692,type,
    sK648: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1693,type,
    sK649: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1694,type,
    sK650: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1695,type,
    sK651: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1696,type,
    sK652: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1697,type,
    sK653: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1698,type,
    sK654: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1699,type,
    sK655: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_1700,type,
    sK656: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_1701,type,
    sK657: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1702,type,
    sK658: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1703,type,
    sK659: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1704,type,
    sK660: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1705,type,
    sK661: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1706,type,
    sK662: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1707,type,
    sK663: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1708,type,
    sK664: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1709,type,
    sK665: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1710,type,
    sK666: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1711,type,
    sK667: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1712,type,
    sK668: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1713,type,
    sK669: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1714,type,
    sK670: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1715,type,
    sK671: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1716,type,
    sK672: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1717,type,
    sK673: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1718,type,
    sK674: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1719,type,
    sK675: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1720,type,
    sK676: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1721,type,
    sK677: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1722,type,
    sK678: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1723,type,
    sK679: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1724,type,
    sK680: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1725,type,
    sK681: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1726,type,
    sK682: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1727,type,
    sK683: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_1728,type,
    sK684: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1729,type,
    sK685: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_1730,type,
    sK686: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_1731,type,
    sK687: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_1732,type,
    sK688: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_1733,type,
    sK689: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_1734,type,
    sK690: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_1735,type,
    sK691: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1736,type,
    sK692: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1737,type,
    sK693: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1738,type,
    sK694: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1739,type,
    sK695: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1740,type,
    sK696: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1741,type,
    sK697: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_1742,type,
    sK698: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_1743,type,
    sK699: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1744,type,
    sK700: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_1745,type,
    sK701: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_1746,type,
    sK702: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_1747,type,
    sK703: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_1748,type,
    sK704: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_1749,type,
    sK705: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_1750,type,
    sK706: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_1751,type,
    sK707: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_1752,type,
    sK708: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_1753,type,
    sK709: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_1754,type,
    sK710: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_1755,type,
    sK711: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_1756,type,
    sK712: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_1757,type,
    sK713: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_1758,type,
    sK714: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1759,type,
    sK715: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1760,type,
    sK716: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1761,type,
    sK717: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1762,type,
    sK718: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1763,type,
    sK719: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1764,type,
    sK720: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1765,type,
    sK721: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1766,type,
    sK722: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1767,type,
    sK723: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1768,type,
    sK724: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1769,type,
    sK725: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1770,type,
    sK726: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1771,type,
    sK727: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1772,type,
    sK728: 
      !>[X0: $tType] : ( fun(X0,fun(product_prod(heap_ext(product_unit),set(nat)),$o)) > X0 ) ).

tff(func_def_1773,type,
    sK729: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_1774,type,
    sK730: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_1775,type,
    sK731: fun($o,$o) > product_unit ).

tff(func_def_1776,type,
    sK736: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1777,type,
    sK737: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1778,type,
    sK739: $o > product_unit ).

tff(func_def_1779,type,
    sK740: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1780,type,
    sK741: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1781,type,
    sK742: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1782,type,
    sK743: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1783,type,
    sK744: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1784,type,
    sK745: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1785,type,
    sK746: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1786,type,
    sK747: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1787,type,
    sK748: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_1788,type,
    sK749: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_1789,type,
    sK750: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_1790,type,
    sK751: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_1791,type,
    sK752: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_1792,type,
    sK753: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_1793,type,
    sK754: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X0 ) ).

tff(func_def_1794,type,
    sK755: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_1795,type,
    sK756: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_1796,type,
    sK757: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_1797,type,
    sK758: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1798,type,
    sK759: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1799,type,
    sK760: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1800,type,
    sK761: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1801,type,
    sK762: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1802,type,
    sK763: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1803,type,
    sK764: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_1804,type,
    sK765: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1805,type,
    sK766: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1806,type,
    sK767: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1807,type,
    sK768: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1808,type,
    sK769: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1809,type,
    sK770: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1810,type,
    sK771: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_1811,type,
    sK772: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1812,type,
    sK773: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1813,type,
    sK774: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1814,type,
    sK775: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1815,type,
    sK776: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1816,type,
    sK777: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1817,type,
    sK778: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1818,type,
    sK779: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1819,type,
    sK780: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1820,type,
    sK781: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1821,type,
    sK782: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1822,type,
    sK783: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_1823,type,
    sK784: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_1824,type,
    sK785: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_1825,type,
    sK786: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1826,type,
    sK787: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1827,type,
    sK788: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1828,type,
    sK789: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_1829,type,
    sK790: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_1830,type,
    sK791: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_1831,type,
    sK792: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1832,type,
    sK793: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1833,type,
    sK794: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1834,type,
    sK795: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1835,type,
    sK796: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1836,type,
    sK797: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_1837,type,
    sK798: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1838,type,
    sK799: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1839,type,
    sK800: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1840,type,
    sK801: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_1841,type,
    sK802: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1842,type,
    sK803: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1843,type,
    sK804: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_1844,type,
    sK805: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X1 ) ).

tff(func_def_1845,type,
    sK806: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_1846,type,
    sK807: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1847,type,
    sK808: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1848,type,
    sK809: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1849,type,
    sK810: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1850,type,
    sK811: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1851,type,
    sK812: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1852,type,
    sK813: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1853,type,
    sK814: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_1854,type,
    sK815: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1855,type,
    sK816: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_1856,type,
    sK817: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1857,type,
    sK818: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1858,type,
    sK819: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_1859,type,
    sK820: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_1860,type,
    sK821: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1861,type,
    sK822: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1862,type,
    sK823: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1863,type,
    sK824: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_1864,type,
    sK825: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1865,type,
    sK826: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1866,type,
    sK827: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1867,type,
    sK828: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1868,type,
    sK829: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1869,type,
    sK830: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1870,type,
    sK831: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1871,type,
    sK832: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1872,type,
    sK833: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1873,type,
    sK834: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1874,type,
    sK835: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1875,type,
    sK836: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1876,type,
    sK837: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1877,type,
    sK838: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1878,type,
    sK839: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1879,type,
    sK840: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1880,type,
    sK841: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1881,type,
    sK842: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1882,type,
    sK843: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1883,type,
    sK844: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1884,type,
    sK845: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1885,type,
    sK846: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1886,type,
    sK847: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X1 ) ).

tff(func_def_1887,type,
    sK848: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X0 ) ).

tff(func_def_1888,type,
    sK849: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1889,type,
    sK850: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1890,type,
    sK851: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1891,type,
    sK852: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1892,type,
    sK853: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1893,type,
    sK854: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1894,type,
    sK855: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_1895,type,
    sK856: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1896,type,
    sK857: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1897,type,
    sK858: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_1898,type,
    sK859: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_1899,type,
    sK860: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1900,type,
    sK861: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1901,type,
    sK862: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1902,type,
    sK863: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_1903,type,
    sK864: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1904,type,
    sK865: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1905,type,
    sK866: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1906,type,
    sK867: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1907,type,
    sK868: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1908,type,
    sK869: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1909,type,
    sK870: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1910,type,
    sK871: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1911,type,
    sK872: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1912,type,
    sK873: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1913,type,
    sK874: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1914,type,
    sK875: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1915,type,
    sK876: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1916,type,
    sK877: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1917,type,
    sK878: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1918,type,
    sK879: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1919,type,
    sK880: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1920,type,
    sK881: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1921,type,
    sK882: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1922,type,
    sK883: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1923,type,
    sK884: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1924,type,
    sK885: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1925,type,
    sK886: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1926,type,
    sK887: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1927,type,
    sK888: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1928,type,
    sK889: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1929,type,
    sK890: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1930,type,
    sK891: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1931,type,
    sK892: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1932,type,
    sK893: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1933,type,
    sK894: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1934,type,
    sK895: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1935,type,
    sK896: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1936,type,
    sK897: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1937,type,
    sK898: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1938,type,
    sK899: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1939,type,
    sK900: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1940,type,
    sK901: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1941,type,
    sK902: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1942,type,
    sK903: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1943,type,
    sK904: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1944,type,
    sK905: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > product_prod(X0,X0) ) ).

tff(func_def_1945,type,
    sK906: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1946,type,
    sK907: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1947,type,
    sK908: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1948,type,
    sK909: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1949,type,
    sK910: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1950,type,
    sK911: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1951,type,
    sK912: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1952,type,
    sK913: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1953,type,
    sK914: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1954,type,
    sK915: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1955,type,
    sK916: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1956,type,
    sK917: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1957,type,
    sK918: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1958,type,
    sK919: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1959,type,
    sK920: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1960,type,
    sK921: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1961,type,
    sK922: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1962,type,
    sK923: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1963,type,
    sK924: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1964,type,
    sK925: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1965,type,
    sK926: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > product_prod(X0,X0) ) ).

tff(func_def_1966,type,
    sK927: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1967,type,
    sK928: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X0 ) ).

tff(func_def_1968,type,
    sK929: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X1 ) ).

tff(func_def_1969,type,
    sK930: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X1 ) ).

tff(func_def_1970,type,
    sK931: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_1971,type,
    sK932: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_1972,type,
    sK933: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_1973,type,
    sK934: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1974,type,
    sK935: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1975,type,
    sK936: product_prod(nat,nat) > nat ).

tff(func_def_1976,type,
    sK937: product_prod(nat,nat) > nat ).

tff(func_def_1977,type,
    sK938: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_1978,type,
    sK939: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_1979,type,
    sK940: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * set(product_prod(X0,X0)) ) > X1 ) ).

tff(func_def_1980,type,
    sK941: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1981,type,
    sK942: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1982,type,
    sK943: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1983,type,
    sK944: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1984,type,
    sK945: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1985,type,
    sK946: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1986,type,
    sK947: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1987,type,
    sK948: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_1988,type,
    sK949: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1989,type,
    sK950: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_1990,type,
    sK951: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1991,type,
    sK952: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1992,type,
    sK953: 
      !>[X0: $tType] : X0 ).

tff(func_def_1993,type,
    sK954: 
      !>[X0: $tType] : X0 ).

tff(func_def_1994,type,
    sK955: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1995,type,
    sK956: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1996,type,
    sK957: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1997,type,
    sK958: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1998,type,
    sK959: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1999,type,
    sK960: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2000,type,
    sK961: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2001,type,
    sK962: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2002,type,
    sK963: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_2003,type,
    sK964: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_2004,type,
    sK965: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_2005,type,
    sK966: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2006,type,
    sK967: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2007,type,
    sK968: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2008,type,
    sK969: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2009,type,
    sK970: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2010,type,
    sK971: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2011,type,
    sK972: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2012,type,
    sK973: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2013,type,
    sK974: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2014,type,
    sK975: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2015,type,
    sK976: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2016,type,
    sK977: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_2017,type,
    sK978: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2018,type,
    sK979: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2019,type,
    sK980: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2020,type,
    sK981: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2021,type,
    sK982: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2022,type,
    sK983: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2023,type,
    sK984: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2024,type,
    sK985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2025,type,
    sK986: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2026,type,
    sK987: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2027,type,
    sK988: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2028,type,
    sK989: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(X1) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2029,type,
    sK990: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(X1) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2030,type,
    sK991: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(X1) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2031,type,
    sK992: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2032,type,
    sK993: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2033,type,
    sK994: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2034,type,
    sK995: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_2035,type,
    sK996: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_2036,type,
    sK997: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_2037,type,
    sK998: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_2038,type,
    sK1000: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2039,type,
    sK1001: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * X1 ) > X0 ) ).

tff(func_def_2040,type,
    sK1002: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2041,type,
    sK1003: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_2042,type,
    sK1005: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_2043,type,
    sK1006: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_2044,type,
    sK1007: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_2045,type,
    sK1008: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * X1 * $o ) > X0 ) ).

tff(func_def_2046,type,
    sK1009: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2047,type,
    sK1010: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * X0 ) > multiset(X0) ) ).

tff(func_def_2048,type,
    sK1011: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2049,type,
    sK1012: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2050,type,
    sK1013: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2051,type,
    sK1014: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) * X0 ) > X0 ) ).

tff(func_def_2052,type,
    sK1015: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_2053,type,
    sK1016: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2054,type,
    sK1017: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2055,type,
    sK1018: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X0,$o) ) ).

tff(func_def_2056,type,
    sK1019: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X1,$o) ) ).

tff(func_def_2057,type,
    sK1020: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X0 ) ).

tff(func_def_2058,type,
    sK1021: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X1 ) ).

tff(func_def_2059,type,
    sK1022: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2060,type,
    sK1023: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2061,type,
    sK1024: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2062,type,
    sK1025: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2063,type,
    sK1026: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2064,type,
    sK1027: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * set(product_prod(X0,X0)) ) > multiset(X0) ) ).

tff(func_def_2065,type,
    sK1028: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * set(product_prod(X0,X0)) ) > multiset(X0) ) ).

tff(func_def_2066,type,
    sK1029: 
      !>[X0: $tType] : ( ( X0 * multiset(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2067,type,
    sK1030: 
      !>[X0: $tType] : ( ( multiset(X0) * X0 * multiset(X0) * set(product_prod(X0,X0)) ) > multiset(X0) ) ).

tff(func_def_2068,type,
    sK1031: 
      !>[X0: $tType] : ( ( multiset(X0) * X0 * multiset(X0) * set(product_prod(X0,X0)) ) > multiset(X0) ) ).

tff(func_def_2069,type,
    sK1032: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2070,type,
    sK1033: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * fun(X0,fun(X0,$o)) ) > multiset(X0) ) ).

tff(func_def_2071,type,
    sK1034: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) * fun(X0,fun(X0,$o)) ) > multiset(X0) ) ).

tff(func_def_2072,type,
    sK1035: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2073,type,
    sK1036: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2074,type,
    sK1037: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2075,type,
    sK1038: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > product_prod(nat,nat) ).

tff(func_def_2076,type,
    sK1039: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > product_prod(nat,nat) ).

tff(func_def_2077,type,
    sK1040: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2078,type,
    sK1041: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2079,type,
    sK1042: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > product_prod(nat,nat) ).

tff(func_def_2080,type,
    sK1043: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > product_prod(nat,nat) ).

tff(func_def_2081,type,
    sK1044: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2082,type,
    sK1045: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > multiset(product_prod(nat,nat)) ).

tff(func_def_2083,type,
    sK1046: 
      !>[X0: $tType] : ( multiset(X0) > X0 ) ).

tff(func_def_2084,type,
    sK1047: 
      !>[X0: $tType] : ( fun(multiset(X0),multiset(X0)) > multiset(X0) ) ).

tff(func_def_2085,type,
    sK1048: 
      !>[X0: $tType] : ( fun(multiset(X0),multiset(X0)) > multiset(X0) ) ).

tff(func_def_2086,type,
    sK1049: 
      !>[X0: $tType] : ( multiset(X0) > X0 ) ).

tff(func_def_2087,type,
    sK1050: 
      !>[X0: $tType] : multiset(X0) ).

tff(func_def_2088,type,
    sK1051: 
      !>[X0: $tType] : multiset(X0) ).

tff(func_def_2089,type,
    sK1052: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2090,type,
    sK1053: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2091,type,
    sK1054: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2092,type,
    sK1055: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2093,type,
    sK1056: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2094,type,
    sK1057: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2095,type,
    sK1058: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2096,type,
    sK1059: 
      !>[X0: $tType] : ( set(multiset(X0)) > multiset(X0) ) ).

tff(func_def_2097,type,
    sK1060: 
      !>[X0: $tType] : ( set(multiset(X0)) > multiset(X0) ) ).

tff(func_def_2098,type,
    sK1061: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * multiset(X0) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2099,type,
    sK1062: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,multiset(X1)) * multiset(X1) ) > X0 ) ).

tff(func_def_2100,type,
    sK1063: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2101,type,
    sK1064: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2102,type,
    sK1065: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2103,type,
    sK1066: 
      !>[X0: $tType] : multiset(X0) ).

tff(func_def_2104,type,
    sK1067: 
      !>[X0: $tType] : multiset(X0) ).

tff(func_def_2105,type,
    sK1068: 
      !>[X0: $tType] : ( fun(multiset(X0),multiset(X0)) > multiset(X0) ) ).

tff(func_def_2106,type,
    sK1069: 
      !>[X0: $tType] : ( fun(multiset(X0),multiset(X0)) > multiset(X0) ) ).

tff(func_def_2107,type,
    sK1070: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * set(multiset(X0)) ) > multiset(X0) ) ).

tff(func_def_2108,type,
    sK1071: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2109,type,
    sK1072: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2110,type,
    sK1073: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * set(multiset(X0)) ) > multiset(X0) ) ).

tff(func_def_2111,type,
    sK1074: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,multiset(X1)) * multiset(X1) ) > X0 ) ).

tff(func_def_2112,type,
    sK1075: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,multiset(X1)) * set(X2) * fun(X0,multiset(X1)) ) > X0 ) ).

tff(func_def_2113,type,
    sK1076: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,multiset(X0)) * multiset(X0) ) > X1 ) ).

tff(func_def_2114,type,
    sK1077: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,multiset(X1)) * set(X0) * fun(X2,multiset(X1)) ) > X2 ) ).

tff(func_def_2115,type,
    sK1078: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,multiset(X0)) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2116,type,
    sK1079: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,multiset(X0)) * set(X1) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2117,type,
    sK1080: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( multiset(product_prod(X2,X1)) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2118,type,
    sK1081: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( multiset(product_prod(X2,X1)) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2119,type,
    sK1082: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_2120,type,
    sK1083: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2121,type,
    sK1084: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > fun(code_integer,option(product_prod($o,list(code_term)))) ).

tff(func_def_2122,type,
    sK1085: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2123,type,
    sK1086: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2124,type,
    sK1087: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_2125,type,
    sK1088: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2126,type,
    sK1089: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2127,type,
    sK1090: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2128,type,
    sK1091: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2129,type,
    sK1092: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2130,type,
    sK1093: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2131,type,
    sK1094: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2132,type,
    sK1095: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > fun(int,option(product_prod($o,list(code_term)))) ).

tff(func_def_2133,type,
    sK1096: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2134,type,
    sK1097: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2135,type,
    sK1098: product_prod(fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(int,int)) > fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))) ).

tff(func_def_2136,type,
    sK1099: product_prod(fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2137,type,
    sK1100: product_prod(fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2138,type,
    sK1101: product_prod(fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))) ).

tff(func_def_2139,type,
    sK1102: product_prod(fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2140,type,
    sK1103: product_prod(fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2141,type,
    sK1104: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_2142,type,
    sK1105: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2143,type,
    sK1106: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2144,type,
    sK1107: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2145,type,
    sK1108: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2146,type,
    sK1109: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2147,type,
    sK1110: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2148,type,
    sK1111: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > fun(X1,X0) ) ).

tff(func_def_2149,type,
    sK1112: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2150,type,
    sK1113: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2151,type,
    sK1114: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2152,type,
    sK1115: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2153,type,
    sK1116: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2154,type,
    sK1117: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_2155,type,
    sK1118: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_2156,type,
    sK1119: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_2157,type,
    sK1120: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2158,type,
    sK1121: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2159,type,
    sK1122: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2160,type,
    sK1123: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2161,type,
    sK1124: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2162,type,
    sK1125: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2163,type,
    sK1126: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_2164,type,
    sK1127: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_2165,type,
    sK1128: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_2166,type,
    sK1129: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2167,type,
    sK1130: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(product_prod(X1,X1)) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2168,type,
    sK1131: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * X1 ) > product_prod(X0,X1) ) ).

tff(func_def_2169,type,
    sK1132: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2170,type,
    sK1133: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2171,type,
    sK1134: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2172,type,
    sK1135: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2173,type,
    sK1136: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2174,type,
    sK1137: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2175,type,
    sK1138: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2176,type,
    sK1139: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2177,type,
    sK1140: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2178,type,
    sK1141: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2179,type,
    sK1142: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2180,type,
    sK1143: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2181,type,
    sK1144: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2182,type,
    sK1145: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2183,type,
    sK1146: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,multiset(X0)) * fun(X1,multiset(X0)) ) > X1 ) ).

tff(func_def_2184,type,
    sK1147: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2185,type,
    sK1148: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2186,type,
    sK1149: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2187,type,
    sK1150: set(nat) > nat ).

tff(func_def_2188,type,
    sK1151: set(nat) > nat ).

tff(func_def_2189,type,
    sK1152: set(nat) > nat ).

tff(func_def_2190,type,
    sK1153: set(nat) > nat ).

tff(func_def_2191,type,
    sK1154: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2192,type,
    sK1155: ( heap_ext(product_unit) * set(nat) ) > nat ).

tff(func_def_2193,type,
    sK1156: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_2194,type,
    sK1157: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_2195,type,
    sK1158: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > nat ).

tff(func_def_2196,type,
    sK1159: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_2197,type,
    sK1160: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_2198,type,
    sK1161: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_2199,type,
    sK1162: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_2200,type,
    sK1163: product_prod(heap_ext(product_unit),set(nat)) > nat ).

tff(func_def_2201,type,
    sK1164: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ) ).

tff(func_def_2202,type,
    sK1165: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ) ).

tff(func_def_2203,type,
    sK1166: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2204,type,
    sK1167: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2205,type,
    sK1168: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2206,type,
    sK1169: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2207,type,
    sK1170: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ) ).

tff(func_def_2208,type,
    sK1171: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ) ).

tff(func_def_2209,type,
    sK1172: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2210,type,
    sK1173: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2211,type,
    sK1174: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2212,type,
    sK1175: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2213,type,
    sK1176: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ) ).

tff(func_def_2214,type,
    sK1177: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ) ).

tff(func_def_2215,type,
    sK1178: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2216,type,
    sK1179: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2217,type,
    sK1180: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2218,type,
    sK1181: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2219,type,
    sK1182: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ) ).

tff(func_def_2220,type,
    sK1183: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ) ).

tff(func_def_2221,type,
    sK1184: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2222,type,
    sK1185: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2223,type,
    sK1186: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > heap_ext(product_unit) ) ).

tff(func_def_2224,type,
    sK1187: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * product_prod(heap_ext(product_unit),set(nat)) ) > set(nat) ) ).

tff(func_def_2225,type,
    sK1188: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2226,type,
    sK1189: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2227,type,
    sK1190: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2228,type,
    sK1191: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2229,type,
    sK1192: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_2230,type,
    sK1193: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2231,type,
    sK1194: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2232,type,
    sK1195: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2233,type,
    sK1196: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_2234,type,
    sK1197: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_2235,type,
    sK1198: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > set(X1) ) ).

tff(func_def_2236,type,
    sK1199: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X2,set(X0)) ) > X2 ) ).

tff(func_def_2237,type,
    sK1200: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_2238,type,
    sK1201: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_2239,type,
    sK1202: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > fun(X0,X1) ) ).

tff(func_def_2240,type,
    sK1203: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) ) ).

tff(func_def_2241,type,
    sK1204: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_2242,type,
    sK1205: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,set(X2)) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_2243,type,
    sK1206: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_2244,type,
    sK1207: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_2245,type,
    sK1208: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(X1) ) ).

tff(func_def_2246,type,
    sK1209: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_2247,type,
    sK1210: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_2248,type,
    sK1211: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2249,type,
    sK1212: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2250,type,
    sK1213: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2251,type,
    sK1214: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2252,type,
    sK1215: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_2253,type,
    sK1216: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_2254,type,
    sK1217: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_2255,type,
    sK1218: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * set(X0) ) > X1 ) ).

tff(func_def_2256,type,
    sK1219: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_2257,type,
    sK1220: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X1,X1)) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_2258,type,
    sK1221: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(set(X1),set(X0)) * set(X0) ) > set(X1) ) ).

tff(func_def_2259,type,
    sK1222: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(set(X1),set(X0)) * set(X0) ) > set(X1) ) ).

tff(func_def_2260,type,
    sK1223: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_2261,type,
    sK1224: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,set(X0)) * set(product_prod(X2,X2)) ) > X1 ) ).

tff(func_def_2262,type,
    sK1225: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2263,type,
    sK1226: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2264,type,
    sK1227: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2265,type,
    sK1228: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_2266,type,
    sK1229: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_2267,type,
    sK1230: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * set(X0) ) > X2 ) ).

tff(func_def_2268,type,
    sK1231: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2269,type,
    sK1232: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2270,type,
    sK1233: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2271,type,
    sK1234: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2272,type,
    sK1235: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2273,type,
    sK1236: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2274,type,
    sK1237: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2275,type,
    sK1238: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2276,type,
    sK1239: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2277,type,
    sK1240: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2278,type,
    sK1241: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X1,X0) ) > fun(X0,$o) ) ).

tff(func_def_2279,type,
    sK1242: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2280,type,
    sK1243: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2281,type,
    sK1244: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2282,type,
    sK1245: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2283,type,
    sK1246: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2284,type,
    sK1247: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2285,type,
    sK1248: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_2286,type,
    sK1249: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,set(X1)) * fun(X1,X2) * fun(X3,set(X2)) * set(X3) ) > X3 ) ).

tff(func_def_2287,type,
    sK1250: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_2288,type,
    sK1251: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,set(X1)) * fun(X1,X2) * fun(X3,set(X2)) * X3 ) > X0 ) ).

tff(func_def_2289,type,
    sK1252: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,set(X1)) * fun(X1,X2) * fun(X3,set(X2)) * set(X3) * X0 ) > X1 ) ).

tff(func_def_2290,type,
    sK1253: product_prod(int,int) > int ).

tff(func_def_2291,type,
    sK1254: product_prod(int,int) > int ).

tff(func_def_2292,type,
    sK1255: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X1 ) ).

tff(func_def_2293,type,
    sK1256: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X0 ) ).

tff(func_def_2294,type,
    sK1257: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X2 ) ).

tff(func_def_2295,type,
    sK1258: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X3 ) ).

tff(func_def_2296,type,
    sK1259: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X1 ) ).

tff(func_def_2297,type,
    sK1260: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X0 ) ).

tff(func_def_2298,type,
    sK1261: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X2 ) ).

tff(func_def_2299,type,
    sK1262: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X2,fun(X3,$o)) * product_prod(X1,X2) * product_prod(X0,X3) ) > X3 ) ).

tff(func_def_2300,type,
    sK1263: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2301,type,
    sK1264: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,fun(X0,$o))) > X1 ) ).

tff(func_def_2302,type,
    sK1265: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,fun(X0,$o))) > X1 ) ).

tff(func_def_2303,type,
    sK1266: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,fun(X0,$o))) > X1 ) ).

tff(func_def_2304,type,
    sK1267: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > X0 ) ).

tff(func_def_2305,type,
    sK1268: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > X0 ) ).

tff(func_def_2306,type,
    sK1269: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2307,type,
    sK1270: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2308,type,
    sK1271: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2309,type,
    sK1272: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2310,type,
    sK1273: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),$o)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2311,type,
    sK1274: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2312,type,
    sK1275: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2313,type,
    sK1276: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_2314,type,
    sK1277: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_2315,type,
    sK1278: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_2316,type,
    sK1279: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_2317,type,
    sK1280: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_2318,type,
    sK1281: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_2319,type,
    sK1282: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_2320,type,
    sK1283: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2321,type,
    sK1284: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2322,type,
    sK1285: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2323,type,
    sK1286: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2324,type,
    sK1287: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2325,type,
    sK1288: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2326,type,
    sK1289: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2327,type,
    sK1290: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2328,type,
    sK1291: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2329,type,
    sK1292: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2330,type,
    sK1293: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_2331,type,
    sK1294: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_2332,type,
    sK1295: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_2333,type,
    sK1296: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_2334,type,
    sK1297: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_2335,type,
    sK1298: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_2336,type,
    sK1299: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2337,type,
    sK1300: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2338,type,
    sK1301: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2339,type,
    sK1302: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2340,type,
    sK1303: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > X0 ) ).

tff(func_def_2341,type,
    sK1304: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2342,type,
    sK1305: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2343,type,
    sK1306: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > X0 ) ).

tff(func_def_2344,type,
    sK1307: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > X0 ) ).

tff(func_def_2345,type,
    sK1308: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_2346,type,
    sK1309: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2347,type,
    sK1310: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_2348,type,
    sK1311: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2349,type,
    sK1312: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_2350,type,
    sK1313: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2351,type,
    sK1314: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2352,type,
    sK1315: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2353,type,
    sK1316: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2354,type,
    sK1317: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_2355,type,
    sK1318: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2356,type,
    sK1319: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2357,type,
    sK1320: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2358,type,
    sK1321: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2359,type,
    sK1322: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2360,type,
    sK1323: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_2361,type,
    sK1324: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_2362,type,
    sK1325: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > fun(X0,$o) ) ).

tff(func_def_2363,type,
    sK1326: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_2364,type,
    sK1327: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_2365,type,
    sK1328: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > fun(X0,$o) ) ).

tff(func_def_2366,type,
    sK1329: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_2367,type,
    sK1330: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_2368,type,
    sK1331: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > X0 ) ).

tff(func_def_2369,type,
    sK1332: 
      !>[X0: $tType] : ( product_prod(fun(X0,$o),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_2370,type,
    sK1333: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_2371,type,
    sK1334: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_2372,type,
    sK1335: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_2373,type,
    sK1336: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_2374,type,
    sK1337: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > X1 ) ).

tff(func_def_2375,type,
    sK1338: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_2376,type,
    sK1339: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_2377,type,
    sK1340: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_2378,type,
    sK1341: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_2379,type,
    sK1342: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_2380,type,
    sK1343: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > X1 ) ).

tff(func_def_2381,type,
    sK1344: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,$o)),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_2382,type,
    sK1345: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2383,type,
    sK1346: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2384,type,
    sK1347: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2385,type,
    sK1348: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2386,type,
    sK1349: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2387,type,
    sK1350: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2388,type,
    sK1351: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2389,type,
    sK1352: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_2390,type,
    sK1353: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_2391,type,
    sK1354: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X1 ) ).

tff(func_def_2392,type,
    sK1355: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X1) ) ).

tff(func_def_2393,type,
    sK1356: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X2 ) ).

tff(func_def_2394,type,
    sK1357: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X2) ) ).

tff(func_def_2395,type,
    sK1358: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_2396,type,
    sK1359: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X1 ) ).

tff(func_def_2397,type,
    sK1360: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X1) ) ).

tff(func_def_2398,type,
    sK1361: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_2399,type,
    sK1362: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X2 ) ).

tff(func_def_2400,type,
    sK1363: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X2) ) ).

tff(func_def_2401,type,
    sK1364: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2402,type,
    sK1365: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2403,type,
    sK1366: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2404,type,
    sK1367: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2405,type,
    sK1368: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2406,type,
    sK1369: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_2407,type,
    sK1370: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2408,type,
    sK1371: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2409,type,
    sK1372: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2410,type,
    sK1373: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2411,type,
    sK1374: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2412,type,
    sK1375: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2413,type,
    sK1376: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2414,type,
    sK1377: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_2415,type,
    sK1378: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2416,type,
    sK1379: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2417,type,
    sK1380: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2418,type,
    sK1381: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_2419,type,
    sK1382: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2420,type,
    sK1383: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2421,type,
    sK1384: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2422,type,
    sK1385: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2423,type,
    sK1386: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2424,type,
    sK1387: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2425,type,
    sK1388: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2426,type,
    sK1389: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2427,type,
    sK1390: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2428,type,
    sK1391: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2429,type,
    sK1393: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2430,type,
    sK1394: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2431,type,
    sK1395: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2432,type,
    sK1396: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2433,type,
    sK1397: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2434,type,
    sK1398: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2435,type,
    sK1400: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X1) * list(X2) * list(X0) ) > X1 ) ).

tff(func_def_2436,type,
    sK1401: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X1) * list(X2) * list(X0) ) > list(X1) ) ).

tff(func_def_2437,type,
    sK1402: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X1) * list(X2) * list(X0) ) > X1 ) ).

tff(func_def_2438,type,
    sK1403: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X1) * list(X2) * list(X0) ) > list(X1) ) ).

tff(func_def_2439,type,
    sK1405: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X2) * list(X0) ) > X2 ) ).

tff(func_def_2440,type,
    sK1406: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X2) * list(X0) ) > list(X2) ) ).

tff(func_def_2441,type,
    sK1407: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X1) * list(X2) * list(X0) ) > X2 ) ).

tff(func_def_2442,type,
    sK1408: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,X0)) * list(X1) * list(X2) * list(X0) ) > list(X2) ) ).

tff(func_def_2443,type,
    sK1410: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_2444,type,
    sK1411: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2445,type,
    sK1412: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_2446,type,
    sK1413: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2447,type,
    sK1414: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_2448,type,
    sK1415: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2449,type,
    sK1416: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2450,type,
    sK1417: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_2451,type,
    sK1418: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_2452,type,
    sK1419: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2453,type,
    sK1420: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2454,type,
    sK1421: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_2455,type,
    sK1422: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_2456,type,
    sK1423: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_2457,type,
    sK1424: ( list(nat) * nat ) > nat ).

tff(func_def_2458,type,
    sK1425: ( list(nat) * nat ) > list(nat) ).

tff(func_def_2459,type,
    sK1426: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2460,type,
    sK1427: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2461,type,
    sK1428: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2462,type,
    sK1429: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_2463,type,
    sK1431: ( list(nat) * nat ) > nat ).

tff(func_def_2464,type,
    sK1432: ( list(nat) * nat ) > list(nat) ).

tff(func_def_2465,type,
    sK1433: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2466,type,
    sK1434: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2467,type,
    sK1435: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_2468,type,
    sK1436: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_2469,type,
    sK1437: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_2470,type,
    sK1438: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_2471,type,
    sK1439: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2472,type,
    sK1440: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2473,type,
    sK1441: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2474,type,
    sK1442: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2475,type,
    sK1443: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2476,type,
    sK1444: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2477,type,
    sK1445: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_2478,type,
    sK1446: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2479,type,
    sK1447: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_2480,type,
    sK1448: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2481,type,
    sK1449: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2482,type,
    sK1450: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2483,type,
    sK1451: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2484,type,
    sK1452: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2485,type,
    sK1453: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2486,type,
    sK1454: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_2487,type,
    sK1455: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_2488,type,
    sK1456: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2489,type,
    sK1457: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2490,type,
    sK1458: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2491,type,
    sK1459: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2492,type,
    sK1460: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2493,type,
    sK1462: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_2494,type,
    sK1463: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_2495,type,
    sK1464: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_2496,type,
    sK1465: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_2497,type,
    sK1466: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2498,type,
    sK1467: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2499,type,
    sK1468: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_2500,type,
    sK1469: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2501,type,
    sK1470: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_2502,type,
    sK1471: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2503,type,
    sK1472: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2504,type,
    sK1473: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_2505,type,
    sK1474: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2506,type,
    sK1475: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_2507,type,
    sK1476: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) * list(X1) ) > X0 ) ).

tff(func_def_2508,type,
    sK1477: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_2509,type,
    sK1478: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2510,type,
    sK1479: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2511,type,
    sK1480: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2512,type,
    sK1481: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2513,type,
    sK1482: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(set(X1),fun(X0,$o)) * fun(X0,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2514,type,
    sK1483: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(set(X1),fun(X0,$o)) * fun(X0,fun(X1,X0)) ) > set(X1) ) ).

tff(func_def_2515,type,
    sK1484: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(set(X1),fun(X0,$o)) * fun(X0,fun(X1,X0)) ) > X0 ) ).

tff(func_def_2516,type,
    sK1485: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2517,type,
    sK1486: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2518,type,
    sK1487: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2519,type,
    sK1488: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2520,type,
    sK1489: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2521,type,
    sK1490: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2522,type,
    sK1491: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2523,type,
    sK1492: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2524,type,
    sK1493: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2525,type,
    sK1494: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2526,type,
    sK1495: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2527,type,
    sK1496: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2528,type,
    sK1497: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2529,type,
    sK1498: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2530,type,
    sK1499: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2531,type,
    sK1500: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2532,type,
    sK1501: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_2533,type,
    sK1502: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_2534,type,
    sK1503: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > list(X0) ) ).

tff(func_def_2535,type,
    sK1506: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_2536,type,
    sK1507: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2537,type,
    sK1508: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_2538,type,
    sK1509: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2539,type,
    sK1510: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2540,type,
    sK1511: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2541,type,
    sK1512: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2542,type,
    sK1513: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2543,type,
    sK1514: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2544,type,
    sK1515: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2545,type,
    sK1516: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2546,type,
    sK1517: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2547,type,
    sK1518: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2548,type,
    sK1519: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2549,type,
    sK1520: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2550,type,
    sK1521: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2551,type,
    sK1522: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2552,type,
    sK1523: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2553,type,
    sK1524: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2554,type,
    sK1525: 
      !>[X0: $tType] : ( ( fun(X0,$o) * product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2555,type,
    sK1526: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2556,type,
    sK1527: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2557,type,
    sK1528: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2558,type,
    sK1529: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2559,type,
    sK1530: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),fun(list(X0),$o))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2560,type,
    sK1531: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),fun(list(X0),$o))) > list(X0) ) ).

tff(func_def_2561,type,
    sK1532: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),fun(list(X0),$o))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2562,type,
    sK1533: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),fun(list(X0),$o))) > list(X0) ) ).

tff(func_def_2563,type,
    sK1534: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),fun(list(X0),$o))) > X0 ) ).

tff(func_def_2564,type,
    sK1535: 
      !>[X0: $tType] : ( fun(fun(X0,fun(X0,$o)),fun(list(X0),fun(list(X0),$o))) > list(X0) ) ).

tff(func_def_2565,type,
    sK1536: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2566,type,
    sK1537: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2567,type,
    sK1538: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2568,type,
    sK1539: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2569,type,
    sK1540: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2570,type,
    sK1541: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2571,type,
    sK1543: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > X0 ) ).

tff(func_def_2572,type,
    sK1544: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2573,type,
    sK1545: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2574,type,
    sK1546: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2575,type,
    sK1547: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2576,type,
    sK1548: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2577,type,
    sK1549: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2578,type,
    sK1550: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2579,type,
    sK1551: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2580,type,
    sK1552: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2581,type,
    sK1553: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2582,type,
    sK1554: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2583,type,
    sK1555: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2584,type,
    sK1556: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2585,type,
    sK1557: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2586,type,
    sK1558: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2587,type,
    sK1559: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > X0 ) ).

tff(func_def_2588,type,
    sK1560: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) * product_prod(list(X0),list(X0)) ) > list(X0) ) ).

tff(func_def_2589,type,
    sK1562: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2590,type,
    sK1563: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2591,type,
    sK1564: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2592,type,
    sK1565: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2593,type,
    sK1566: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2594,type,
    sK1567: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2595,type,
    sK1568: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2596,type,
    sK1569: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2597,type,
    sK1572: 
      !>[X0: $tType,X1: $tType] : ( option(product_prod(X1,X0)) > X1 ) ).

tff(func_def_2598,type,
    sK1573: 
      !>[X0: $tType,X1: $tType] : ( option(product_prod(X1,X0)) > X0 ) ).

tff(func_def_2599,type,
    sK1574: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2600,type,
    sK1575: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_2601,type,
    sK1576: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_2602,type,
    sK1577: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_2603,type,
    sK1578: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X0,X1)) * X0 * X1 ) > list(product_prod(X0,X1)) ) ).

tff(func_def_2604,type,
    sK1579: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X0,X1)) * X0 * X1 ) > list(product_prod(X0,X1)) ) ).

tff(func_def_2605,type,
    sK1580: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * option($o) ) > X0 ) ).

tff(func_def_2606,type,
    sK1581: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * option($o) ) > list(X0) ) ).

tff(func_def_2607,type,
    sK1582: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_2608,type,
    sK1583: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_2609,type,
    sK1584: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_2610,type,
    sK1585: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * $o ) > X0 ) ).

tff(func_def_2611,type,
    sK1586: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * $o ) > list(X0) ) ).

tff(func_def_2612,type,
    sK1587: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * $o ) > X0 ) ).

tff(func_def_2613,type,
    sK1588: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * $o ) > list(X0) ) ).

tff(func_def_2614,type,
    sK1592: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) ) > X1 ) ).

tff(func_def_2615,type,
    sK1593: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) ) > list(X1) ) ).

tff(func_def_2616,type,
    sK1594: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) * $o ) > X1 ) ).

tff(func_def_2617,type,
    sK1595: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) * $o ) > list(X1) ) ).

tff(func_def_2618,type,
    sK1596: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) * $o * X0 * list(X0) ) > X1 ) ).

tff(func_def_2619,type,
    sK1597: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) * $o * X0 * list(X0) ) > list(X1) ) ).

tff(func_def_2620,type,
    sK1598: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_2621,type,
    sK1599: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_2622,type,
    sK1600: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_2623,type,
    sK1601: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2624,type,
    sK1602: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_2625,type,
    sK1603: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_2626,type,
    sK1604: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_2627,type,
    sK1605: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_2628,type,
    sK1606: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) ) > X1 ) ).

tff(func_def_2629,type,
    sK1607: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X1) ) > list(X1) ) ).

tff(func_def_2630,type,
    sK1608: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_2631,type,
    sK1609: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2632,type,
    sK1611: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2633,type,
    sK1612: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2634,type,
    sK1613: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2635,type,
    sK1614: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2636,type,
    sK1615: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2637,type,
    sK1616: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2638,type,
    sK1617: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2639,type,
    sK1618: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2640,type,
    sK1619: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2641,type,
    sK1620: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2642,type,
    sK1621: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2643,type,
    sK1622: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2644,type,
    sK1623: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2645,type,
    sK1624: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2646,type,
    sK1625: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2647,type,
    sK1626: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2648,type,
    sK1627: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2649,type,
    sK1628: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2650,type,
    sK1629: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2651,type,
    sK1630: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2652,type,
    sK1633: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2653,type,
    sK1634: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2654,type,
    sK1635: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2655,type,
    sK1636: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2656,type,
    sK1637: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2657,type,
    sK1638: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2658,type,
    sK1639: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2659,type,
    sK1640: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2660,type,
    sK1641: ( set(nat) * heap_ext(product_unit) * heap_ext(product_unit) ) > typerep ).

tff(func_def_2661,type,
    sK1642: ( set(nat) * heap_ext(product_unit) * heap_ext(product_unit) ) > nat ).

tff(func_def_2662,type,
    sK1643: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_2663,type,
    sK1644: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_2664,type,
    sK1645: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > nat ).

tff(func_def_2665,type,
    sK1646: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_2666,type,
    sK1647: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_2667,type,
    sK1648: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_2668,type,
    sK1649: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_2669,type,
    sK1650: product_prod(heap_ext(product_unit),set(nat)) > nat ).

tff(func_def_2670,type,
    sK1651: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > heap_ext(product_unit) ).

tff(func_def_2671,type,
    sK1652: ( product_prod(heap_ext(product_unit),set(nat)) * $o ) > set(nat) ).

tff(func_def_2672,type,
    sK1653: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_2673,type,
    sK1654: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_2674,type,
    sK1655: product_prod(heap_ext(product_unit),set(nat)) > heap_ext(product_unit) ).

tff(func_def_2675,type,
    sK1656: product_prod(heap_ext(product_unit),set(nat)) > set(nat) ).

tff(func_def_2676,type,
    sK1657: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2677,type,
    sK1658: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2678,type,
    sK1659: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2679,type,
    sK1660: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2680,type,
    sK1661: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * X0 * X1 ) > X0 ) ).

tff(func_def_2681,type,
    sK1662: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * X0 * X1 ) > X1 ) ).

tff(func_def_2682,type,
    sK1663: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2683,type,
    sK1664: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2684,type,
    sK1665: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2685,type,
    sK1666: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),fun(product_prod(X0,X1),$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2686,type,
    sK1667: 
      !>[X0: $tType] : ( product_prod(fun(code_natural,X0),product_prod(code_natural,code_natural)) > fun(code_natural,X0) ) ).

tff(func_def_2687,type,
    sK1668: 
      !>[X0: $tType] : ( product_prod(fun(code_natural,X0),product_prod(code_natural,code_natural)) > code_natural ) ).

tff(func_def_2688,type,
    sK1669: 
      !>[X0: $tType] : ( product_prod(fun(code_natural,X0),product_prod(code_natural,code_natural)) > code_natural ) ).

tff(func_def_2689,type,
    sK1670: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2690,type,
    sK1671: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2691,type,
    sK1672: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2692,type,
    sK1673: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2693,type,
    sK1674: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2694,type,
    sK1675: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2695,type,
    sK1676: product_prod(code_natural,code_natural) > code_natural ).

tff(func_def_2696,type,
    sK1677: product_prod(code_natural,code_natural) > code_natural ).

tff(func_def_2697,type,
    sK1678: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(fun(X0,X1),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > fun(fun(X0,X1),option(product_prod($o,list(code_term)))) ) ).

tff(func_def_2698,type,
    sK1679: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(fun(X0,X1),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ) ).

tff(func_def_2699,type,
    sK1680: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(fun(X0,X1),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ) ).

tff(func_def_2700,type,
    sK1681: product_prod(fun(code_natural,option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > fun(code_natural,option(product_prod($o,list(code_term)))) ).

tff(func_def_2701,type,
    sK1682: product_prod(fun(code_natural,option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ).

tff(func_def_2702,type,
    sK1683: product_prod(fun(code_natural,option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ).

tff(func_def_2703,type,
    sK1684: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(product_prod(fun(X0,X1),fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > fun(product_prod(fun(X0,X1),fun(product_unit,code_term)),option(product_prod($o,list(code_term)))) ) ).

tff(func_def_2704,type,
    sK1685: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(product_prod(fun(X0,X1),fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ) ).

tff(func_def_2705,type,
    sK1686: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(product_prod(fun(X0,X1),fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ) ).

tff(func_def_2706,type,
    sK1687: product_prod(fun(product_prod(code_natural,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > fun(product_prod(code_natural,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))) ).

tff(func_def_2707,type,
    sK1688: product_prod(fun(product_prod(code_natural,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ).

tff(func_def_2708,type,
    sK1689: product_prod(fun(product_prod(code_natural,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_natural,code_natural)) > code_natural ).

tff(func_def_2709,type,
    sK1690: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2710,type,
    sK1691: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2711,type,
    sK1692: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2712,type,
    sK1693: fun(nat,$o) > nat ).

tff(func_def_2713,type,
    sK1694: 
      !>[X0: $tType] : ( fun(fun(code_natural,X0),fun(code_natural,fun(code_natural,$o))) > fun(code_natural,X0) ) ).

tff(func_def_2714,type,
    sK1695: 
      !>[X0: $tType] : ( fun(fun(code_natural,X0),fun(code_natural,fun(code_natural,$o))) > code_natural ) ).

tff(func_def_2715,type,
    sK1696: 
      !>[X0: $tType] : ( fun(fun(code_natural,X0),fun(code_natural,fun(code_natural,$o))) > code_natural ) ).

tff(func_def_2716,type,
    sK1697: 
      !>[X0: $tType] : ( product_prod(fun(product_prod(code_natural,code_natural),product_prod(product_prod(X0,fun(product_unit,code_term)),product_prod(code_natural,code_natural))),product_prod(code_natural,product_prod(code_natural,code_natural))) > fun(product_prod(code_natural,code_natural),product_prod(product_prod(X0,fun(product_unit,code_term)),product_prod(code_natural,code_natural))) ) ).

tff(func_def_2717,type,
    sK1698: 
      !>[X0: $tType] : ( product_prod(fun(product_prod(code_natural,code_natural),product_prod(product_prod(X0,fun(product_unit,code_term)),product_prod(code_natural,code_natural))),product_prod(code_natural,product_prod(code_natural,code_natural))) > code_natural ) ).

tff(func_def_2718,type,
    sK1699: 
      !>[X0: $tType] : ( product_prod(fun(product_prod(code_natural,code_natural),product_prod(product_prod(X0,fun(product_unit,code_term)),product_prod(code_natural,code_natural))),product_prod(code_natural,product_prod(code_natural,code_natural))) > product_prod(code_natural,code_natural) ) ).

tff(func_def_2719,type,
    sK1700: 
      !>[X0: $tType] : ( product_prod(itself(X0),product_prod(code_natural,product_prod(code_natural,product_prod(code_natural,code_natural)))) > itself(X0) ) ).

tff(func_def_2720,type,
    sK1701: 
      !>[X0: $tType] : ( product_prod(itself(X0),product_prod(code_natural,product_prod(code_natural,product_prod(code_natural,code_natural)))) > code_natural ) ).

tff(func_def_2721,type,
    sK1702: 
      !>[X0: $tType] : ( product_prod(itself(X0),product_prod(code_natural,product_prod(code_natural,product_prod(code_natural,code_natural)))) > code_natural ) ).

tff(func_def_2722,type,
    sK1703: 
      !>[X0: $tType] : ( product_prod(itself(X0),product_prod(code_natural,product_prod(code_natural,product_prod(code_natural,code_natural)))) > product_prod(code_natural,code_natural) ) ).

tff(func_def_2723,type,
    sK1704: 
      !>[X0: $tType,X1: $tType] : ( product_prod(code_natural,product_prod(fun(X1,fun(X0,product_prod(X1,X0))),X1)) > code_natural ) ).

tff(func_def_2724,type,
    sK1705: 
      !>[X0: $tType,X1: $tType] : ( product_prod(code_natural,product_prod(fun(X1,fun(X0,product_prod(X1,X0))),X1)) > fun(X1,fun(X0,product_prod(X1,X0))) ) ).

tff(func_def_2725,type,
    sK1706: 
      !>[X0: $tType,X1: $tType] : ( product_prod(code_natural,product_prod(fun(X1,fun(X0,product_prod(X1,X0))),X1)) > X1 ) ).

tff(func_def_2726,type,
    sK1713: ( num * num ) > num ).

tff(func_def_2727,type,
    sK1714: ( num * num ) > num ).

tff(func_def_2728,type,
    sK1715: ( num * num * num ) > num ).

tff(func_def_2729,type,
    sK1716: ( num * num * num ) > num ).

tff(func_def_2730,type,
    sK1717: ( num * num * num ) > num ).

tff(func_def_2731,type,
    sK1718: ( num * num * num ) > num ).

tff(func_def_2732,type,
    sK1719: ( num * num * num ) > num ).

tff(func_def_2733,type,
    sK1720: ( num * num * num ) > num ).

tff(func_def_2734,type,
    sK1722: ( num * num * num ) > num ).

tff(func_def_2735,type,
    sK1723: ( num * num * num ) > num ).

tff(func_def_2736,type,
    sK1724: ( num * num * num ) > num ).

tff(func_def_2737,type,
    sK1725: ( num * num * num ) > num ).

tff(func_def_2738,type,
    sK1732: ( num * option(num) ) > num ).

tff(func_def_2739,type,
    sK1733: ( num * option(num) ) > num ).

tff(func_def_2740,type,
    sK1734: ( num * num * option(num) ) > num ).

tff(func_def_2741,type,
    sK1735: ( num * num * option(num) ) > num ).

tff(func_def_2742,type,
    sK1736: ( num * num * option(num) ) > num ).

tff(func_def_2743,type,
    sK1737: ( num * num * option(num) ) > num ).

tff(func_def_2744,type,
    sK1738: ( num * num * option(num) ) > num ).

tff(func_def_2745,type,
    sK1739: ( num * num * option(num) ) > num ).

tff(func_def_2746,type,
    sK1741: ( num * num * option(num) ) > num ).

tff(func_def_2747,type,
    sK1742: ( num * num * option(num) ) > num ).

tff(func_def_2748,type,
    sK1743: ( num * num * option(num) ) > num ).

tff(func_def_2749,type,
    sK1744: ( num * num * option(num) ) > num ).

tff(func_def_2750,type,
    sK1751: ( num * option(num) ) > num ).

tff(func_def_2751,type,
    sK1752: ( num * option(num) ) > num ).

tff(func_def_2752,type,
    sK1753: ( num * num * option(num) ) > num ).

tff(func_def_2753,type,
    sK1754: ( num * num * option(num) ) > num ).

tff(func_def_2754,type,
    sK1755: ( num * num * option(num) ) > num ).

tff(func_def_2755,type,
    sK1756: ( num * num * option(num) ) > num ).

tff(func_def_2756,type,
    sK1757: ( num * num * option(num) ) > num ).

tff(func_def_2757,type,
    sK1758: ( num * num * option(num) ) > num ).

tff(func_def_2758,type,
    sK1760: ( num * num * option(num) ) > num ).

tff(func_def_2759,type,
    sK1761: ( num * num * option(num) ) > num ).

tff(func_def_2760,type,
    sK1762: ( num * num * option(num) ) > num ).

tff(func_def_2761,type,
    sK1763: ( num * num * option(num) ) > num ).

tff(func_def_2762,type,
    sK1770: ( num * option(num) ) > num ).

tff(func_def_2763,type,
    sK1771: ( num * option(num) ) > num ).

tff(func_def_2764,type,
    sK1772: ( num * num * option(num) ) > num ).

tff(func_def_2765,type,
    sK1773: ( num * num * option(num) ) > num ).

tff(func_def_2766,type,
    sK1774: ( num * num * option(num) ) > num ).

tff(func_def_2767,type,
    sK1775: ( num * num * option(num) ) > num ).

tff(func_def_2768,type,
    sK1776: ( num * num * option(num) ) > num ).

tff(func_def_2769,type,
    sK1777: ( num * num * option(num) ) > num ).

tff(func_def_2770,type,
    sK1779: ( num * num * option(num) ) > num ).

tff(func_def_2771,type,
    sK1780: ( num * num * option(num) ) > num ).

tff(func_def_2772,type,
    sK1781: ( num * num * option(num) ) > num ).

tff(func_def_2773,type,
    sK1782: ( num * num * option(num) ) > num ).

tff(func_def_2774,type,
    sK1789: ( num * num ) > num ).

tff(func_def_2775,type,
    sK1790: ( num * num ) > num ).

tff(func_def_2776,type,
    sK1791: ( num * num * num ) > num ).

tff(func_def_2777,type,
    sK1792: ( num * num * num ) > num ).

tff(func_def_2778,type,
    sK1793: ( num * num * num ) > num ).

tff(func_def_2779,type,
    sK1794: ( num * num * num ) > num ).

tff(func_def_2780,type,
    sK1795: ( num * num * num ) > num ).

tff(func_def_2781,type,
    sK1796: ( num * num * num ) > num ).

tff(func_def_2782,type,
    sK1798: ( num * num * num ) > num ).

tff(func_def_2783,type,
    sK1799: ( num * num * num ) > num ).

tff(func_def_2784,type,
    sK1800: ( num * num * num ) > num ).

tff(func_def_2785,type,
    sK1801: ( num * num * num ) > num ).

tff(func_def_2786,type,
    sK1802: 
      !>[X0: $tType] : ( pred(X0) > X0 ) ).

tff(func_def_2787,type,
    sK1803: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_2788,type,
    sK1804: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_2789,type,
    sK1805: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2790,type,
    sK1806: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_2791,type,
    sK1807: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2792,type,
    sK1808: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2793,type,
    sK1809: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2794,type,
    sK1810: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_2795,type,
    sK1811: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2796,type,
    sK1812: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_2797,type,
    sK1813: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_2798,type,
    sK1814: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_2799,type,
    sK1815: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_2800,type,
    sK1816: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_2801,type,
    sK1817: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > list(X0) ) ).

tff(func_def_2802,type,
    sK1819: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_2803,type,
    sK1820: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > X0 ) ).

tff(func_def_2804,type,
    sK1821: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > heap_ext(product_unit) ) ).

tff(func_def_2805,type,
    sK1822: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_2806,type,
    sK1823: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_2807,type,
    sK1824: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_2808,type,
    sK1825: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_2809,type,
    sK1826: 
      !>[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))) ) > X0 ) ).

tff(func_def_2810,type,
    sK1827: 
      !>[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))) ) > heap_ext(product_unit) ) ).

tff(func_def_2811,type,
    sK1828: 
      !>[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))) ) > nat ) ).

tff(func_def_2812,type,
    sK1829: 
      !>[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))) ) > X0 ) ).

tff(func_def_2813,type,
    sK1830: 
      !>[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))) ) > heap_ext(product_unit) ) ).

tff(func_def_2814,type,
    sK1831: 
      !>[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))) ) > nat ) ).

tff(func_def_2815,type,
    sK1832: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_2816,type,
    sK1833: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_2817,type,
    sK1834: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X3 ) ).

tff(func_def_2818,type,
    sK1835: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X2 ) ).

tff(func_def_2819,type,
    sK1836: fun(product_prod(nat,nat),$o) > nat ).

tff(func_def_2820,type,
    sK1837: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_2821,type,
    sK1838: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_2822,type,
    sK1839: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2823,type,
    sK1840: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2824,type,
    sK1841: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2825,type,
    sK1842: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2826,type,
    sK1843: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2827,type,
    sK1844: product_prod(code_natural,code_natural) > code_natural ).

tff(func_def_2828,type,
    sK1845: product_prod(code_natural,code_natural) > code_natural ).

tff(func_def_2829,type,
    sK1846: product_prod(code_natural,code_natural) > code_natural ).

tff(func_def_2830,type,
    sK1847: fun(nat,$o) > nat ).

tff(func_def_2831,type,
    sK1848: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2832,type,
    sK1849: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2833,type,
    sK1850: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2834,type,
    sK1851: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2835,type,
    sK1852: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(X0) ) ).

tff(func_def_2836,type,
    sK1853: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(X0) ) ).

tff(func_def_2837,type,
    sK1854: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(list(X0)) ) ).

tff(func_def_2838,type,
    sK1855: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(X0) ) ).

tff(func_def_2839,type,
    sK1856: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(list(X0)) ) ).

tff(func_def_2840,type,
    sK1857: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(X0) ) ).

tff(func_def_2841,type,
    sK1858: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(list(X0)) ) ).

tff(func_def_2842,type,
    sK1859: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(X0) ) ).

tff(func_def_2843,type,
    sK1860: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(X0) ) ).

tff(func_def_2844,type,
    sK1861: 
      !>[X0: $tType] : ( fun(list(list(X0)),fun(list(list(X0)),$o)) > list(list(X0)) ) ).

tff(func_def_2845,type,
    sK1864: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2846,type,
    sK1865: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2847,type,
    sK1866: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2848,type,
    sK1867: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(set(old_node(X1,X0)),set(old_node(X1,X0))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) * set(product_prod(set(old_node(X1,X0)),set(old_node(X1,X0)))) ) > set(old_node(X1,X0)) ) ).

tff(func_def_2849,type,
    sK1868: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(X0) ) ).

tff(func_def_2850,type,
    sK1869: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(X0) ) ).

tff(func_def_2851,type,
    sK1870: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(list(X0)) ) ).

tff(func_def_2852,type,
    sK1871: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(X0) ) ).

tff(func_def_2853,type,
    sK1872: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(list(X0)) ) ).

tff(func_def_2854,type,
    sK1873: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(X0) ) ).

tff(func_def_2855,type,
    sK1874: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(list(X0)) ) ).

tff(func_def_2856,type,
    sK1875: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(X0) ) ).

tff(func_def_2857,type,
    sK1876: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(X0) ) ).

tff(func_def_2858,type,
    sK1877: 
      !>[X0: $tType] : ( product_prod(list(list(X0)),list(list(X0))) > list(list(X0)) ) ).

tff(func_def_2859,type,
    sK1878: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2860,type,
    sK1879: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2861,type,
    sK1880: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2862,type,
    sK1881: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2863,type,
    sK1882: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_2864,type,
    sK1883: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_2865,type,
    sK1884: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_2866,type,
    sK1885: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_2867,type,
    sK1886: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_2868,type,
    sK1887: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_2869,type,
    sK1888: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_2870,type,
    sK1889: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_2871,type,
    sK1893: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_2872,type,
    sK1894: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,X0)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2873,type,
    sK1895: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,X0)) * X1 * X0 ) > fun(X1,X0) ) ).

tff(func_def_2874,type,
    sK1896: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,X0)) * X1 * X0 ) > X1 ) ).

tff(func_def_2875,type,
    sK1897: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,X0)) * X1 * X0 ) > fun(X1,X0) ) ).

tff(func_def_2876,type,
    sK1898: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,X0)) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2877,type,
    sK1899: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_2878,type,
    sK1900: 
      !>[X0: $tType,X1: $tType] : ( product_prod(product_prod($o,X0),product_prod($o,X1)) > X0 ) ).

tff(func_def_2879,type,
    sK1901: 
      !>[X0: $tType,X1: $tType] : ( product_prod(product_prod($o,X0),product_prod($o,X1)) > X1 ) ).

tff(func_def_2880,type,
    sK1902: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) > fun(nat,sum_sum(X1,nat)) ) ).

tff(func_def_2881,type,
    sK1903: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) > sum_sum(X0,nat) ) ).

tff(func_def_2882,type,
    sK1904: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) > nat ) ).

tff(func_def_2883,type,
    sK1905: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2884,type,
    sK1906: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2885,type,
    sK1907: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2886,type,
    sK1908: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2887,type,
    sK1909: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_2888,type,
    sK1910: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2889,type,
    sK1911: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2890,type,
    sK1912: 
      !>[X0: $tType] : ( ( fun(X0,fun(product_prod(heap_ext(product_unit),set(nat)),$o)) * product_prod(heap_ext(product_unit),set(nat)) ) > X0 ) ).

tff(func_def_2891,type,
    sK1913: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2892,type,
    sK1914: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2893,type,
    sK1915: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2894,type,
    sK1916: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2895,type,
    sK1917: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_2896,type,
    sK1918: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_2897,type,
    sK1919: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * X1 ) > X0 ) ).

tff(func_def_2898,type,
    sK1920: 
      !>[X0: $tType] : ( ( fun(X0,assn) * product_prod(heap_ext(product_unit),set(nat)) ) > X0 ) ).

tff(func_def_2899,type,
    sK1921: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2900,type,
    sK1922: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(product_prod($o,X1),product_prod($o,X0)) ) > X1 ) ).

tff(func_def_2901,type,
    sK1923: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(product_prod($o,X1),product_prod($o,X0)) ) > X0 ) ).

tff(func_def_2902,type,
    sK1924: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2903,type,
    sK1925: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2904,type,
    sK1926: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_2905,type,
    sK1927: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_2906,type,
    sK1928: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2907,type,
    sK1929: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0 ) > X0 ) ).

tff(func_def_2908,type,
    sK1930: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2909,type,
    sK1931: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2910,type,
    sK1932: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2911,type,
    sK1933: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2912,type,
    sK1934: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2913,type,
    sK1935: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2914,type,
    sK1936: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2915,type,
    sK1937: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2916,type,
    sK1938: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2917,type,
    sK1939: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2918,type,
    sK1940: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2919,type,
    sK1941: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2920,type,
    sK1942: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_2921,type,
    sK1943: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * product_prod(X1,X0) ) > X1 ) ).

tff(func_def_2922,type,
    sK1944: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2923,type,
    sK1945: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2924,type,
    sK1946: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2925,type,
    sK1947: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2926,type,
    sK1948: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2927,type,
    sK1949: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2928,type,
    sK1950: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,fun(X1,$o)) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_2929,type,
    sK1951: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,fun(X1,$o)) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_2930,type,
    sK1952: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_2931,type,
    sK1953: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_2932,type,
    sK1954: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2933,type,
    sK1955: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2934,type,
    sK1956: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2935,type,
    sK1957: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2936,type,
    sK1958: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2937,type,
    sK1959: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2938,type,
    sK1960: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2939,type,
    sK1961: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2940,type,
    sK1962: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2941,type,
    sK1963: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2942,type,
    sK1964: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2943,type,
    sK1965: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2944,type,
    sK1966: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2945,type,
    sK1967: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2946,type,
    sK1968: 
      !>[X0: $tType] : ( ( set(multiset(X0)) * set(multiset(X0)) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2947,type,
    sK1969: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) ) > X0 ) ).

tff(func_def_2948,type,
    sK1970: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2949,type,
    sK1971: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_2950,type,
    sK1972: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * multiset(X0) ) > X0 ) ).

tff(func_def_2951,type,
    sK1973: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( fun(X2,fun(X1,fun(X3,fun(X0,fun(X4,$o))))) * X2 * fun(X1,option(product_prod(X0,product_prod(X3,X4)))) ) > X1 ) ).

tff(func_def_2952,type,
    sK1974: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( fun(X2,fun(X1,fun(X3,fun(X0,fun(X4,$o))))) * X2 * fun(X1,option(product_prod(X0,product_prod(X3,X4)))) ) > X3 ) ).

tff(func_def_2953,type,
    sK1975: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( fun(X2,fun(X1,fun(X3,fun(X0,fun(X4,$o))))) * X2 * fun(X1,option(product_prod(X0,product_prod(X3,X4)))) ) > X0 ) ).

tff(func_def_2954,type,
    sK1976: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( fun(X2,fun(X1,fun(X3,fun(X0,fun(X4,$o))))) * X2 * fun(X1,option(product_prod(X0,product_prod(X3,X4)))) ) > X4 ) ).

tff(func_def_2955,type,
    sK1977: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2956,type,
    sK1978: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2957,type,
    sK1979: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2958,type,
    sK1980: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2959,type,
    sK1981: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2960,type,
    sK1982: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2961,type,
    sK1983: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2962,type,
    sK1984: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2963,type,
    sK1985: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2964,type,
    sK1986: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1 ) > X2 ) ).

tff(func_def_2965,type,
    sK1987: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0) ) > X2 ) ).

tff(func_def_2966,type,
    sK1988: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0) ) > X0 ) ).

tff(func_def_2967,type,
    sK1989: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0) ) > X0 ) ).

tff(func_def_2968,type,
    sK1990: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X0 ) ).

tff(func_def_2969,type,
    sK1991: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X2 ) ).

tff(func_def_2970,type,
    sK1992: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(pred_def_1,type,
    typerep2: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    enum: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    code_term_of: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    cl_HOL_Oequal: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    heap: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    ring: 
      !>[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,
    minus: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    times: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    comm_ring_1: 
      !>[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,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    quickcheck_random: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    normal8620421768224518004emidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    bounded_lattice_top: 
      !>[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,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    quickc3360725361186068524ustive: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    normal6328177297339901930cative: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    entails: ( assn * assn ) > $o ).

tff(pred_def_147,type,
    is_pure_assn: assn > $o ).

tff(pred_def_148,type,
    relH: ( set(nat) * heap_ext(product_unit) * heap_ext(product_unit) ) > $o ).

tff(pred_def_149,type,
    bNF_Cardinal_cfinite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_150,type,
    bNF_Ca4139267488887388095finite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_151,type,
    bNF_Ca8970107618336181345der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_152,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_153,type,
    bNF_Ca6246979054910435723ardSuc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(set(X0),set(X0))) ) > $o ) ).

tff(pred_def_154,type,
    bNF_Ca7133664381575040944arCard: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_155,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_156,type,
    bNF_Gr1419584066657907630d_pred: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_157,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_158,type,
    bNF_Wellorder_embed: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_159,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_160,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_161,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > $o ) ).

tff(pred_def_162,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_163,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_164,type,
    boolea6902313364301356556axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_165,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_166,type,
    boolea5476839437570043046axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * fun(X0,fun(X0,X0)) ) > $o ) ).

tff(pred_def_167,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_168,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_169,type,
    comple7038119648293358887notone: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,fun(X1,$o)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_170,type,
    condit8047198070973881523_above: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_171,type,
    condit8119078960628432327_below: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_172,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_173,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_174,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_175,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_176,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_177,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_178,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_179,type,
    equiv_equivp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_180,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_181,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_182,type,
    frequently: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_183,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_184,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_185,type,
    finite_comp_fun_idem: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_186,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > $o ) ).

tff(pred_def_187,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_188,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_189,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_190,type,
    fun_in_rel: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 * X1 ) > $o ) ).

tff(pred_def_191,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_192,type,
    bounde8507323023520639062attice: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_193,type,
    bounde6485984586167503788ce_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_194,type,
    abel_semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_195,type,
    abel_s757365448890700780axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_196,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_197,type,
    comm_monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_198,type,
    group: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_199,type,
    group_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_200,type,
    monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_201,type,
    monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_202,type,
    semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_203,type,
    groups778175481326437816id_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_204,type,
    groups1828464146339083142d_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_205,type,
    groups4802862169904069756st_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_206,type,
    groups_monoid_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_207,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_208,type,
    uniq: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_209,type,
    heap_Time_effect: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) * heap_ext(product_unit) * X0 * nat ) > $o ) ).

tff(pred_def_210,type,
    heap_Time_success: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > $o ) ).

tff(pred_def_211,type,
    semilattice: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_212,type,
    semilattice_axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_213,type,
    semilattice_neutr: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_214,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_215,type,
    semilattice_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_216,type,
    semila6385135966242565138axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_217,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) * X0 ) > $o ) ).

tff(pred_def_218,type,
    lattic5652469242046573047tr_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_219,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_220,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_221,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_222,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_223,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_224,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_225,type,
    ord_lexordp: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_226,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_227,type,
    successively: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_228,type,
    bijective: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_229,type,
    list_all_zip: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_230,type,
    su_rel_fun: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_231,type,
    comm_monoid_mset: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_232,type,
    multeqp_code: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * multiset(X0) * multiset(X0) ) > $o ) ).

tff(pred_def_233,type,
    multp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * multiset(X0) * multiset(X0) ) > $o ) ).

tff(pred_def_234,type,
    multp_code: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * multiset(X0) * multiset(X0) ) > $o ) ).

tff(pred_def_235,type,
    pw_leq: ( multiset(product_prod(nat,nat)) * multiset(product_prod(nat,nat)) ) > $o ).

tff(pred_def_236,type,
    neg_numeral_is_num: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_237,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_238,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_239,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_240,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_241,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_242,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_243,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_244,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_245,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_246,type,
    ordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_247,type,
    ordering_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_248,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_249,type,
    ordering_top_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_250,type,
    partial_preordering: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_251,type,
    preordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_252,type,
    preordering_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_253,type,
    partia7178651479351089652itions: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(set(X0),X0) ) > $o ) ).

tff(pred_def_254,type,
    is_empty: 
      !>[X0: $tType] : ( pred(X0) > $o ) ).

tff(pred_def_255,type,
    ref_present: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * ref(X0) ) > $o ) ).

tff(pred_def_256,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_257,type,
    antisymp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_258,type,
    asym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_259,type,
    asymp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_260,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_261,type,
    irreflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_262,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_263,type,
    reflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_264,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_265,type,
    single_valuedp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_266,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_267,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_268,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_269,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_270,type,
    dvd_dvd: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_271,type,
    disjnt: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > $o ) ).

tff(pred_def_272,type,
    is_empty2: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_273,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_274,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_275,type,
    syntax_ac_operator: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_276,type,
    syntax7388354845996824322omatch: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_277,type,
    syntax2379306206330768139omatch: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_278,type,
    transitive_acyclic: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_279,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_280,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_281,type,
    wfP: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_282,type,
    adm_wf: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(fun(X0,X1),fun(X0,X1)) ) > $o ) ).

tff(pred_def_283,type,
    wfrec_rel: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(fun(X0,X1),fun(X0,X1)) * X0 * X1 ) > $o ) ).

tff(pred_def_284,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_285,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_286,type,
    sP14: $o > $o ).

tff(pred_def_287,type,
    sP15: $o > $o ).

tff(pred_def_288,type,
    sP16: $o > $o ).

tff(pred_def_289,type,
    sP17: $o > $o ).

tff(pred_def_290,type,
    sP18: $o > $o ).

tff(pred_def_291,type,
    sP19: $o > $o ).

tff(pred_def_292,type,
    sP20: $o > $o ).

tff(pred_def_293,type,
    sP21: $o > $o ).

tff(pred_def_294,type,
    sK22: assn > $o ).

tff(pred_def_295,type,
    sK23: assn > $o ).

tff(pred_def_296,type,
    sP66: $o > $o ).

tff(pred_def_297,type,
    sK110: 
      !>[X0: $tType,X1: $tType] : ( product_prod($o,product_prod(X0,set(X1))) > $o ) ).

tff(pred_def_298,type,
    sP223: $o > $o ).

tff(pred_def_299,type,
    sP224: $o > $o ).

tff(pred_def_300,type,
    sP235: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,set(X0)) * $o ) > $o ) ).

tff(pred_def_301,type,
    sP236: $o > $o ).

tff(pred_def_302,type,
    sP239: $o > $o ).

tff(pred_def_303,type,
    sP240: $o > $o ).

tff(pred_def_304,type,
    sP243: $o > $o ).

tff(pred_def_305,type,
    sP244: $o > $o ).

tff(pred_def_306,type,
    sP248: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_307,type,
    sP249: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_308,type,
    sP305: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_309,type,
    sP310: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_310,type,
    sP364: $o > $o ).

tff(pred_def_311,type,
    sP365: $o > $o ).

tff(pred_def_312,type,
    sK380: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_313,type,
    sP428: ( int * product_prod(int,int) * int * int ) > $o ).

tff(pred_def_314,type,
    sP525: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_315,type,
    sP526: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_316,type,
    sP527: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_317,type,
    sP732: ( $o * $o ) > $o ).

tff(pred_def_318,type,
    sP733: $o > $o ).

tff(pred_def_319,type,
    sP734: $o > $o ).

tff(pred_def_320,type,
    sK735: fun(product_unit,$o) > $o ).

tff(pred_def_321,type,
    sK738: product_unit > $o ).

tff(pred_def_322,type,
    sK999: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > $o ) ).

tff(pred_def_323,type,
    sK1004: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > $o ) ).

tff(pred_def_324,type,
    sP1392: 
      !>[X0: $tType] : ( ( list(X0) * X0 * X0 * list(X0) * list(X0) * product_prod(list(X0),list(X0)) * list(X0) ) > $o ) ).

tff(pred_def_325,type,
    sP1399: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * X0 * list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_326,type,
    sP1404: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) * X1 * list(X2) * list(X0) * list(X1) * fun(X1,fun(X0,X2)) ) > $o ) ).

tff(pred_def_327,type,
    sP1409: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * X0 * list(X1) * X1 * list(X2) * list(X0) * fun(X1,fun(X0,X2)) ) > $o ) ).

tff(pred_def_328,type,
    sP1430: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * X0 * X0 * list(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_329,type,
    sP1461: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_330,type,
    sP1504: $o > $o ).

tff(pred_def_331,type,
    sP1505: 
      !>[X0: $tType] : ( ( list(X0) * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_332,type,
    sP1542: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_333,type,
    sP1561: 
      !>[X0: $tType] : ( ( list(X0) * X0 * X0 * list(X0) * list(X0) * product_prod(list(X0),list(X0)) * list(X0) ) > $o ) ).

tff(pred_def_334,type,
    sP1570: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_335,type,
    sP1571: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_336,type,
    sP1589: $o > $o ).

tff(pred_def_337,type,
    sP1590: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * $o * list(X0) * list(X1) * fun(X1,fun(X0,$o)) ) > $o ) ).

tff(pred_def_338,type,
    sP1591: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * $o * list(X0) * list(X1) * fun(X1,fun(X0,$o)) ) > $o ) ).

tff(pred_def_339,type,
    sP1610: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * list(X1) * X1 * list(X0) * fun(X1,fun(X0,$o)) ) > $o ) ).

tff(pred_def_340,type,
    sP1631: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_341,type,
    sP1632: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_342,type,
    sP1707: ( num * num * num ) > $o ).

tff(pred_def_343,type,
    sP1708: ( num * num * num ) > $o ).

tff(pred_def_344,type,
    sP1709: ( num * num * num ) > $o ).

tff(pred_def_345,type,
    sP1710: ( num * num * num ) > $o ).

tff(pred_def_346,type,
    sP1711: ( num * num * num ) > $o ).

tff(pred_def_347,type,
    sP1712: ( num * num * num ) > $o ).

tff(pred_def_348,type,
    sP1721: ( num * num * num ) > $o ).

tff(pred_def_349,type,
    sP1726: ( option(num) * num * num ) > $o ).

tff(pred_def_350,type,
    sP1727: ( option(num) * num * num ) > $o ).

tff(pred_def_351,type,
    sP1728: ( option(num) * num * num ) > $o ).

tff(pred_def_352,type,
    sP1729: ( option(num) * num * num ) > $o ).

tff(pred_def_353,type,
    sP1730: ( option(num) * num * num ) > $o ).

tff(pred_def_354,type,
    sP1731: ( option(num) * num * num ) > $o ).

tff(pred_def_355,type,
    sP1740: ( num * option(num) * num ) > $o ).

tff(pred_def_356,type,
    sP1745: ( option(num) * num * num ) > $o ).

tff(pred_def_357,type,
    sP1746: ( option(num) * num * num ) > $o ).

tff(pred_def_358,type,
    sP1747: ( option(num) * num * num ) > $o ).

tff(pred_def_359,type,
    sP1748: ( option(num) * num * num ) > $o ).

tff(pred_def_360,type,
    sP1749: ( option(num) * num * num ) > $o ).

tff(pred_def_361,type,
    sP1750: ( option(num) * num * num ) > $o ).

tff(pred_def_362,type,
    sP1759: ( num * option(num) * num ) > $o ).

tff(pred_def_363,type,
    sP1764: ( option(num) * num * num ) > $o ).

tff(pred_def_364,type,
    sP1765: ( option(num) * num * num ) > $o ).

tff(pred_def_365,type,
    sP1766: ( option(num) * num * num ) > $o ).

tff(pred_def_366,type,
    sP1767: ( option(num) * num * num ) > $o ).

tff(pred_def_367,type,
    sP1768: ( option(num) * num * num ) > $o ).

tff(pred_def_368,type,
    sP1769: ( option(num) * num * num ) > $o ).

tff(pred_def_369,type,
    sP1778: ( num * option(num) * num ) > $o ).

tff(pred_def_370,type,
    sP1783: ( num * num * num ) > $o ).

tff(pred_def_371,type,
    sP1784: ( num * num * num ) > $o ).

tff(pred_def_372,type,
    sP1785: ( num * num * num ) > $o ).

tff(pred_def_373,type,
    sP1786: ( num * num * num ) > $o ).

tff(pred_def_374,type,
    sP1787: ( num * num * num ) > $o ).

tff(pred_def_375,type,
    sP1788: ( num * num * num ) > $o ).

tff(pred_def_376,type,
    sP1797: ( num * num * num ) > $o ).

tff(pred_def_377,type,
    sP1818: 
      !>[X0: $tType] : ( ( list(X0) * X0 * X0 * $o * list(X0) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_378,type,
    sP1862: 
      !>[X0: $tType] : ( ( list(X0) * list(list(X0)) * list(X0) * fun(list(list(X0)),fun(list(list(X0)),$o)) ) > $o ) ).

tff(pred_def_379,type,
    sP1863: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) * list(list(X0)) * fun(list(list(X0)),fun(list(list(X0)),$o)) ) > $o ) ).

tff(pred_def_380,type,
    sP1890: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) * list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_381,type,
    sP1891: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) * list(X0) * list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_382,type,
    sP1892: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(list(X0)) ) > $o ) ).

tff(f774,axiom,
    ! [X0: $tType] :
      ( semilattice_sup(X0)
     => ! [X1: X0,X2: X0] :
          ( aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)
        <=> ( ( X2 = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) )
            & ( X2 != X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_773_sup_Ostrict__order__iff) ).

tff(f1874,axiom,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( member(X0,X1,aa(set(X0),set(X0),insert2(X0,X2),bot_bot(set(X0))))
    <=> ( X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1873_singleton__iff) ).

tff(f2802,axiom,
    ! [X0: $o,X1: fun($o,$o)] :
      ( member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
     => ( ! [X2: product_unit] : aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
       => aa($o,$o,X1,(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2801_Rep__unit__induct) ).

tff(f2804,axiom,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( ! [X2: $o] :
          ( member($o,(X2),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
         => aa(product_unit,$o,X0,aa($o,product_unit,product_Abs_unit,(X2))) )
     => aa(product_unit,$o,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2803_Abs__unit__induct) ).

tff(f2806,axiom,
    ! [X0: $o] :
      ( member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
     => ( aa(product_unit,$o,product_Rep_unit,aa($o,product_unit,product_Abs_unit,(X0)))
      <=> (X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2805_Abs__unit__inverse) ).

tff(f2810,axiom,
    ! [X0: product_unit] :
      ~ ! [X1: $o] :
          ( ( X0 = aa($o,product_unit,product_Abs_unit,(X1)) )
         => ~ member($o,(X1),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2809_Abs__unit__cases) ).

tff(f5459,axiom,
    ! [X0: $tType,X1: X0] :
      ( aa(X0,$o,aTP_Lamp_al(X0,$o),X1)
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5458_ATP_Olambda__489) ).

tff(f5899,axiom,
    semilattice_sup($o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__sup_297) ).

tff(f6663,plain,
    ! [X0: $tType] :
      ( semilattice_sup(X0)
     => ! [X1: X0,X2: X0] :
          ( aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)
        <=> ( ( X2 = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) )
            & ( X2 != X1 ) ) ) ),
    inference(rectify,[],[f774]) ).

tff(f7589,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
     => ( ! [X2: product_unit] : aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
       => aa($o,$o,X1,(X0)) ) ),
    inference(rectify,[],[f2802]) ).

tff(f7591,plain,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( ! [X2: $o] :
          ( member($o,(X2),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
         => aa(product_unit,$o,X0,aa($o,product_unit,product_Abs_unit,(X2))) )
     => aa(product_unit,$o,X0,X1) ),
    inference(rectify,[],[f2804]) ).

tff(f7592,plain,
    ! [X0: $o] :
      ( member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
     => ( aa(product_unit,$o,product_Rep_unit,aa($o,product_unit,product_Abs_unit,(X0)))
      <=> (X0) ) ),
    inference(rectify,[],[f2806]) ).

tff(f7595,plain,
    ! [X0: product_unit] :
      ~ ! [X1: $o] :
          ( ( X0 = aa($o,product_unit,product_Abs_unit,(X1)) )
         => ~ member($o,(X1),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(rectify,[],[f2810]) ).

tff(f8448,plain,
    ! [X0: $tType,X1: X0] :
      ( aa(X0,$o,aTP_Lamp_al(X0,$o),X1)
    <=> $false ),
    inference(rectify,[],[f5459]) ).

tff(f9323,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)
        <=> ( ( X2 = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) )
            & ( X2 != X1 ) ) )
      | ~ semilattice_sup(X0) ),
    inference(ennf_transformation,[],[f6663]) ).

tff(f11484,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( aa($o,$o,X1,(X0))
      | ? [X2: product_unit] : ~ aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
      | ~ member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(ennf_transformation,[],[f7589]) ).

tff(f11485,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( aa($o,$o,X1,(X0))
      | ? [X2: product_unit] : ~ aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
      | ~ member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(flattening,[],[f11484]) ).

tff(f11488,plain,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( aa(product_unit,$o,X0,X1)
      | ? [X2: $o] :
          ( ~ aa(product_unit,$o,X0,aa($o,product_unit,product_Abs_unit,(X2)))
          & member($o,(X2),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ) ),
    inference(ennf_transformation,[],[f7591]) ).

tff(f11489,plain,
    ! [X0: $o] :
      ( ( aa(product_unit,$o,product_Rep_unit,aa($o,product_unit,product_Abs_unit,(X0)))
      <=> (X0) )
      | ~ member($o,(X0),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(ennf_transformation,[],[f7592]) ).

tff(f11495,plain,
    ! [X0: product_unit] :
    ? [X1: $o] :
      ( member($o,(X1),aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
      & ( X0 = aa($o,product_unit,product_Abs_unit,(X1)) ) ),
    inference(ennf_transformation,[],[f7595]) ).

tff(f15530,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ semilattice_sup(X0)
      | ( X1 != X2 )
      | ( aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2) != $true ) ),
    inference(cnf_transformation,[],[f9323]) ).

tff(f17260,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ member(X0,X1,aa(set(X0),set(X0),insert2(X0,X2),bot_bot(set(X0))))
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f1874]) ).

tff(f18975,plain,
    ! [X1: fun($o,$o)] :
      ( ~ member($o,$true,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
      | ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK731(X1))) )
      | ( $true = aa($o,$o,X1,$true) ) ),
    inference(cnf_transformation,[],[f11485]) ).

tff(f19018,plain,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( sK735(X0)
      | ( aa(product_unit,$o,X0,X1) = $true )
      | member($o,$false,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(cnf_transformation,[],[f11488]) ).

tff(f19019,plain,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( ~ sK735(X0)
      | ( aa(product_unit,$o,X0,X1) = $true )
      | member($o,$true,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(cnf_transformation,[],[f11488]) ).

tff(f19022,plain,
    ( ~ member($o,$true,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
    | ( $true = aa(product_unit,$o,product_Rep_unit,aa($o,product_unit,product_Abs_unit,$true)) ) ),
    inference(cnf_transformation,[],[f11489]) ).

tff(f19029,plain,
    ! [X0: product_unit] :
      ( sK738(X0)
      | member($o,$false,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(cnf_transformation,[],[f11495]) ).

tff(f19032,plain,
    ! [X0: product_unit] :
      ( ~ sK738(X0)
      | ( aa($o,product_unit,product_Abs_unit,$true) = X0 ) ),
    inference(cnf_transformation,[],[f11495]) ).

tff(f24132,plain,
    ! [X0: $tType,X1: X0] : ( aa(X0,$o,aTP_Lamp_al(X0,$o),X1) != $true ),
    inference(cnf_transformation,[],[f8448]) ).

tff(f24572,plain,
    semilattice_sup($o),
    inference(cnf_transformation,[],[f5899]) ).

tff(f26848,plain,
    ! [X0: $tType,X2: X0] :
      ( ~ semilattice_sup(X0)
      | ( $true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2) ) ),
    inference(equality_resolution,[],[f15530]) ).

tff(f28617,plain,
    ! [X0: $tType,X2: X0] :
      ( ( $true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2) )
      | semilattice_sup(X0) ),
    inference(consistent_polarity_flipping,[],[f26848]) ).

tff(f29955,plain,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( sK735(X0)
      | ( aa(product_unit,$o,X0,X1) = $true )
      | member($o,$true,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(consistent_polarity_flipping,[],[f19019]) ).

tff(f29956,plain,
    ! [X0: fun(product_unit,$o),X1: product_unit] :
      ( ~ sK735(X0)
      | ( aa(product_unit,$o,X0,X1) = $true )
      | member($o,$false,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    inference(consistent_polarity_flipping,[],[f19018]) ).

tff(f31918,plain,
    ~ semilattice_sup($o),
    inference(consistent_polarity_flipping,[],[f24572]) ).

tff(f32484,definition,
    ( spl1993_88
  <=> member($o,$false,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    introduced(definition,[new_symbols(definition,[spl1993_88])],[avatar_definition]) ).

tff(f32485,plain,
    ( member($o,$false,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o))))
    | ~ spl1993_88 ),
    inference(avatar_component_clause,[],[f32484]) ).

tff(f32493,definition,
    ( spl1993_90
  <=> member($o,$true,aa(set($o),set($o),insert2($o,$true),bot_bot(set($o)))) ),
    introduced(definition,[new_symbols(definition,[spl1993_90])],[avatar_definition]) ).

tff(f32498,definition,
    ( spl1993_91
  <=> ! [X0: product_unit] : sK738(X0) ),
    introduced(definition,[new_symbols(definition,[spl1993_91])],[avatar_definition]) ).

tff(f32499,plain,
    ( ! [X0: product_unit] : sK738(X0)
    | ~ spl1993_91 ),
    inference(avatar_component_clause,[],[f32498]) ).

tff(f32500,plain,
    ( spl1993_88
    | spl1993_91 ),
    inference(avatar_split_clause,[],[f19029,f32498,f32484]) ).

tff(f32511,definition,
    ( spl1993_94
  <=> ( $true = aa(product_unit,$o,product_Rep_unit,aa($o,product_unit,product_Abs_unit,$true)) ) ),
    introduced(definition,[new_symbols(definition,[spl1993_94])],[avatar_definition]) ).

tff(f32513,plain,
    ( ( $true = aa(product_unit,$o,product_Rep_unit,aa($o,product_unit,product_Abs_unit,$true)) )
    | ~ spl1993_94 ),
    inference(avatar_component_clause,[],[f32511]) ).

tff(f32514,plain,
    ( spl1993_94
    | ~ spl1993_90 ),
    inference(avatar_split_clause,[],[f19022,f32493,f32511]) ).

tff(f32516,definition,
    ( spl1993_95
  <=> ! [X0: fun(product_unit,$o),X1: product_unit] :
        ( ~ sK735(X0)
        | ( aa(product_unit,$o,X0,X1) = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl1993_95])],[avatar_definition]) ).

tff(f32517,plain,
    ( ! [X0: fun(product_unit,$o),X1: product_unit] :
        ( ~ sK735(X0)
        | ( aa(product_unit,$o,X0,X1) = $true ) )
    | ~ spl1993_95 ),
    inference(avatar_component_clause,[],[f32516]) ).

tff(f32518,plain,
    ( spl1993_88
    | spl1993_95 ),
    inference(avatar_split_clause,[],[f29956,f32516,f32484]) ).

tff(f32520,definition,
    ( spl1993_96
  <=> ! [X0: fun(product_unit,$o),X1: product_unit] :
        ( sK735(X0)
        | ( aa(product_unit,$o,X0,X1) = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl1993_96])],[avatar_definition]) ).

tff(f32521,plain,
    ( ! [X0: fun(product_unit,$o),X1: product_unit] :
        ( sK735(X0)
        | ( aa(product_unit,$o,X0,X1) = $true ) )
    | ~ spl1993_96 ),
    inference(avatar_component_clause,[],[f32520]) ).

tff(f32522,plain,
    ( spl1993_90
    | spl1993_96 ),
    inference(avatar_split_clause,[],[f29955,f32520,f32493]) ).

tff(f32588,definition,
    ( spl1993_107
  <=> ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK731(X1))) )
        | ( $true = aa($o,$o,X1,$true) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1993_107])],[avatar_definition]) ).

tff(f32589,plain,
    ( ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK731(X1))) )
        | ( $true = aa($o,$o,X1,$true) ) )
    | ~ spl1993_107 ),
    inference(avatar_component_clause,[],[f32588]) ).

tff(f32590,plain,
    ( spl1993_107
    | ~ spl1993_90 ),
    inference(avatar_split_clause,[],[f18975,f32493,f32588]) ).

tff(f33946,plain,
    ( ! [X0: fun(product_unit,$o),X1: product_unit] : ( aa(product_unit,$o,X0,X1) = $true )
    | ~ spl1993_95
    | ~ spl1993_96 ),
    inference(forward_subsumption_resolution,[],[f32521,f32517]) ).

tff(f33948,plain,
    ( ( $true != $true )
    | ~ spl1993_95
    | ~ spl1993_96 ),
    inference(superposition,[],[f24132,f33946]) ).

tff(f33949,plain,
    ( $false
    | ~ spl1993_95
    | ~ spl1993_96 ),
    inference(trivial_inequality_removal,[],[f33948]) ).

tff(f33950,plain,
    ( ~ spl1993_95
    | ~ spl1993_96 ),
    inference(avatar_contradiction_clause,[],[f33949]) ).

tff(f38429,plain,
    ( ( $true = $false )
    | ~ spl1993_88 ),
    inference(resolution,[],[f17260,f32485]) ).

tff(f38432,plain,
    ( $false
    | ~ spl1993_88 ),
    inference(trivial_inequality_removal,[],[f38429]) ).

tff(f38433,plain,
    ~ spl1993_88,
    inference(avatar_contradiction_clause,[],[f38432]) ).

tff(f38439,plain,
    ( ! [X0: product_unit] : ( aa($o,product_unit,product_Abs_unit,$true) = X0 )
    | ~ spl1993_91 ),
    inference(backward_subsumption_resolution,[],[f19032,f32499]) ).

tff(f38447,plain,
    ( ! [X0: product_unit] : ( aa(product_unit,$o,product_Rep_unit,X0) = $true )
    | ~ spl1993_91
    | ~ spl1993_94 ),
    inference(superposition,[],[f32513,f38439]) ).

tff(f41553,plain,
    ( ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,$true) )
        | ( $true = aa($o,$o,X1,$true) ) )
    | ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(forward_demodulation,[],[f32589,f38447]) ).

tff(f41554,plain,
    ( ! [X1: fun($o,$o)] : ( $true = aa($o,$o,X1,$true) )
    | ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(duplicate_literal_removal,[],[f41553]) ).

tff(f41584,plain,
    ( ( $true != $true )
    | semilattice_sup($o)
    | ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(superposition,[],[f28617,f41554]) ).

tff(f41612,plain,
    ( semilattice_sup($o)
    | ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(trivial_inequality_removal,[],[f41584]) ).

tff(f41666,plain,
    ( $false
    | ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(forward_subsumption_resolution,[],[f41612,f31918]) ).

tff(f41667,plain,
    ( ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(avatar_contradiction_clause,[],[f41666]) ).

cnf(s94,plain,
    ( spl1993_88
    | spl1993_91 ),
    inference(sat_conversion,[],[f32500]) ).

cnf(s97,plain,
    ( ~ spl1993_90
    | spl1993_94 ),
    inference(sat_conversion,[],[f32514]) ).

cnf(s98,plain,
    ( spl1993_88
    | spl1993_95 ),
    inference(sat_conversion,[],[f32518]) ).

cnf(s99,plain,
    ( spl1993_90
    | spl1993_96 ),
    inference(sat_conversion,[],[f32522]) ).

cnf(s125,plain,
    ( ~ spl1993_90
    | spl1993_107 ),
    inference(sat_conversion,[],[f32590]) ).

cnf(s352,plain,
    ( ~ spl1993_95
    | ~ spl1993_96 ),
    inference(sat_conversion,[],[f33950]) ).

cnf(s605,plain,
    ~ spl1993_88,
    inference(sat_conversion,[],[f38433]) ).

cnf(s814,plain,
    ( ~ spl1993_91
    | ~ spl1993_94
    | ~ spl1993_107 ),
    inference(sat_conversion,[],[f41667]) ).

cnf(s916,plain,
    spl1993_95,
    inference(rat,[],[s98,s605]) ).

cnf(s917,plain,
    ~ spl1993_96,
    inference(rat,[],[s352,s916]) ).

cnf(s918,plain,
    spl1993_90,
    inference(rat,[],[s99,s917]) ).

cnf(s919,plain,
    spl1993_107,
    inference(rat,[],[s125,s918]) ).

cnf(s920,plain,
    spl1993_94,
    inference(rat,[],[s97,s918]) ).

cnf(s921,plain,
    ~ spl1993_91,
    inference(rat,[],[s814,s919,s920]) ).

cnf(s922,plain,
    $false,
    inference(rat,[],[s94,s921,s605]) ).

tff(f41671,plain,
    $false,
    inference(avatar_sat_refutation,[],[s922]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP212_4 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n018.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 12:26:09 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.45/2.18  % (2268951)Will run a generic schedule for satisfiability detection.
% 8.45/2.18  % (2268960)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2302421675:i=116_2993 on theBenchmark for (2993ds/116Mi)
% 8.45/2.18  % (2268957)% WARNING: option uhcvi not known.
% 8.45/2.18  % (2268956)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=664071204_2993 on theBenchmark for (2993ds/0Mi)
% 8.45/2.18  % (2268957)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3743179003:i=135531:add=off:rawr=on_2993 on theBenchmark for (2993ds/135531Mi)
% 8.45/2.18  % (2268958)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=237493697:i=88024:add=on:rawr=on_2993 on theBenchmark for (2993ds/88024Mi)
% 8.45/2.18  % (2268959)dis+10_1_sil=32000:sp=arity:random_seed=1035935882:i=103:fgj=on_2993 on theBenchmark for (2993ds/103Mi)
% 8.45/2.18  % (2268961)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2953811459:i=131_2993 on theBenchmark for (2993ds/131Mi)
% 8.45/2.18  % (2268962)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3950228175:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2993 on theBenchmark for (2993ds/159Mi)
% 8.45/2.18  % (2268960)Instruction limit reached! 
% 8.45/2.18  % (2268960)------------------------------
% 8.45/2.18  % (2268960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268960)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268960)Termination reason: Instruction limit
% 8.45/2.18  % (2268960)Termination phase: NewCNF
% 8.45/2.18  % (2268960)Time elapsed: 0.044 s
% 8.45/2.18  % (2268960)Peak memory usage: 25 MB
% 8.45/2.18  % (2268960)Instructions burned: 118 (million)
% 8.45/2.18  % (2268959)Instruction limit reached! 
% 8.45/2.18  % (2268959)------------------------------
% 8.45/2.18  % (2268959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268959)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268959)Termination reason: Instruction limit
% 8.45/2.18  % (2268959)Termination phase: Initialization
% 8.45/2.18  % (2268959)Time elapsed: 0.047 s
% 8.45/2.18  % (2268959)Peak memory usage: 22 MB
% 8.45/2.18  % (2268959)Instructions burned: 103 (million)
% 8.45/2.18  % (2268970)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2075990013:i=714:nm=2_2993 on theBenchmark for (2993ds/714Mi)
% 8.45/2.18  % (2268961)Instruction limit reached! 
% 8.45/2.18  % (2268961)------------------------------
% 8.45/2.18  % (2268961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268961)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268961)Termination reason: Instruction limit
% 8.45/2.18  % (2268961)Termination phase: Initialization
% 8.45/2.18  % (2268961)Time elapsed: 0.060 s
% 8.45/2.18  % (2268961)Peak memory usage: 23 MB
% 8.45/2.18  % (2268961)Instructions burned: 131 (million)
% 8.45/2.18  % (2268971)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3527634838:i=131:bd=preordered:fsd=on_2993 on theBenchmark for (2993ds/131Mi)
% 8.45/2.18  % (2268962)Instruction limit reached! 
% 8.45/2.18  % (2268962)------------------------------
% 8.45/2.18  % (2268962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268962)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268962)Termination reason: Instruction limit
% 8.45/2.18  % (2268962)Termination phase: Initialization
% 8.45/2.18  % (2268962)Time elapsed: 0.075 s
% 8.45/2.18  % (2268962)Peak memory usage: 23 MB
% 8.45/2.18  % (2268962)Instructions burned: 160 (million)
% 8.45/2.18  % (2268973)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1507986674:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2993 on theBenchmark for (2993ds/684Mi)
% 8.45/2.18  % (2268975)ott-21_1_sil=16000:fs=off:random_seed=546432278:i=180:av=off:fsr=off_2992 on theBenchmark for (2992ds/180Mi)
% 8.45/2.18  % (2268971)Instruction limit reached! 
% 8.45/2.18  % (2268971)------------------------------
% 8.45/2.18  % (2268971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268971)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268971)Termination reason: Instruction limit
% 8.45/2.18  % (2268971)Termination phase: Initialization
% 8.45/2.18  % (2268971)Time elapsed: 0.061 s
% 8.45/2.18  % (2268971)Peak memory usage: 23 MB
% 8.45/2.18  % (2268971)Instructions burned: 131 (million)
% 8.45/2.18  % (2268978)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1972541462:i=477:bd=all_2992 on theBenchmark for (2992ds/477Mi)
% 8.45/2.18  % (2268975)Instruction limit reached! 
% 8.45/2.18  % (2268975)------------------------------
% 8.45/2.18  % (2268975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268975)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268975)Termination reason: Instruction limit
% 8.45/2.18  % (2268975)Termination phase: Initialization
% 8.45/2.18  % (2268975)Time elapsed: 0.083 s
% 8.45/2.18  % (2268975)Peak memory usage: 24 MB
% 8.45/2.18  % (2268975)Instructions burned: 181 (million)
% 8.45/2.18  % (2268980)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1230642228:fmbsr=1.3:i=865:ins=25_2991 on theBenchmark for (2991ds/865Mi)
% 8.45/2.18  % (2268970)Instruction limit reached! 
% 8.45/2.18  % (2268970)------------------------------
% 8.45/2.18  % (2268970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268970)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268970)Termination reason: Instruction limit
% 8.45/2.18  % (2268970)Termination phase: Preprocessing 3
% 8.45/2.18  % (2268970)Time elapsed: 0.190 s
% 8.45/2.18  % (2268970)Peak memory usage: 32 MB
% 8.45/2.18  % (2268970)Instructions burned: 716 (million)
% 8.45/2.18  % (2268982)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1553360703:i=1179_2991 on theBenchmark for (2991ds/1179Mi)
% 8.45/2.18  % (2268978)Instruction limit reached! 
% 8.45/2.18  % (2268978)------------------------------
% 8.45/2.18  % (2268978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268978)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268978)Termination reason: Instruction limit
% 8.45/2.18  % (2268978)Termination phase: Preprocessing 1
% 8.45/2.18  % (2268978)Time elapsed: 0.216 s
% 8.45/2.18  % (2268978)Peak memory usage: 26 MB
% 8.45/2.18  % (2268978)Instructions burned: 479 (million)
% 8.45/2.18  % (2268984)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2408261246:i=889:ins=1_2990 on theBenchmark for (2990ds/889Mi)
% 8.45/2.18  % (2268973)Instruction limit reached! 
% 8.45/2.18  % (2268973)------------------------------
% 8.45/2.18  % (2268973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268973)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268973)Termination reason: Instruction limit
% 8.45/2.18  % (2268973)Termination phase: Property scanning
% 8.45/2.18  % (2268973)Time elapsed: 0.336 s
% 8.45/2.18  % (2268973)Peak memory usage: 32 MB
% 8.45/2.18  % (2268973)Instructions burned: 684 (million)
% 8.45/2.18  % (2268986)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3093184641:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2989 on theBenchmark for (2989ds/692Mi)
% 8.45/2.18  % (2268982)Instruction limit reached! 
% 8.45/2.18  % (2268982)------------------------------
% 8.45/2.18  % (2268982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268982)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268982)Termination reason: Instruction limit
% 8.45/2.18  % (2268982)Termination phase: Function definition elimination
% 8.45/2.18  % (2268982)Time elapsed: 0.301 s
% 8.45/2.18  % (2268982)Peak memory usage: 36 MB
% 8.45/2.18  % (2268982)Instructions burned: 1180 (million)
% 8.45/2.18  % (2268988)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3236131504:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 8.45/2.18  % (2268980)Instruction limit reached! 
% 8.45/2.18  % (2268980)------------------------------
% 8.45/2.18  % (2268980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268980)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268980)Termination reason: Instruction limit
% 8.45/2.18  % (2268980)Termination phase: Property scanning
% 8.45/2.18  % (2268980)Time elapsed: 0.414 s
% 8.45/2.18  % (2268980)Peak memory usage: 34 MB
% 8.45/2.18  % (2268980)Instructions burned: 866 (million)
% 8.45/2.18  % (2268990)fmb+10_1_sil=64000:random_seed=4162383006:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 8.45/2.18  % (2268986)Instruction limit reached! 
% 8.45/2.18  % (2268986)------------------------------
% 8.45/2.18  % (2268986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268986)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268986)Termination reason: Instruction limit
% 8.45/2.18  % (2268986)Termination phase: Property scanning
% 8.45/2.18  % (2268986)Time elapsed: 0.344 s
% 8.45/2.18  % (2268986)Peak memory usage: 31 MB
% 8.45/2.18  % (2268986)Instructions burned: 693 (million)
% 8.45/2.18  % (2268988)Instruction limit reached! 
% 8.45/2.18  % (2268988)------------------------------
% 8.45/2.18  % (2268988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268988)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268988)Termination reason: Instruction limit
% 8.45/2.18  % (2268988)Termination phase: Property scanning
% 8.45/2.18  % (2268988)Time elapsed: 0.223 s
% 8.45/2.18  % (2268988)Peak memory usage: 32 MB
% 8.45/2.18  % (2268988)Instructions burned: 880 (million)
% 8.45/2.18  % (2268993)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4199321435:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 8.45/2.18  % (2268992)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=123158304:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 8.45/2.18  % (2268984)Instruction limit reached! 
% 8.45/2.18  % (2268984)------------------------------
% 8.45/2.18  % (2268984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268984)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268984)Termination reason: Instruction limit
% 8.45/2.18  % (2268984)Termination phase: Property scanning
% 8.45/2.18  % (2268984)Time elapsed: 0.426 s
% 8.45/2.18  % (2268984)Peak memory usage: 34 MB
% 8.45/2.18  % (2268984)Instructions burned: 890 (million)
% 8.45/2.18  % (2268996)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3068911789:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 8.45/2.18  % Exception at run slice level
% 8.45/2.18  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.45/2.18  % (2268998)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3409045456:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 8.45/2.18  % (2268993)Instruction limit reached! 
% 8.45/2.18  % (2268993)------------------------------
% 8.45/2.18  % (2268993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/2.18  % (2268993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.18  % (2268993)CaDiCaL version: 2.1.3
% 8.45/2.18  % (2268993)Termination reason: Instruction limit
% 8.45/2.18  % (2268993)Termination phase: Property scanning
% 8.45/2.18  % (2268993)Time elapsed: 0.240 s
% 8.45/2.18  % (2268993)Peak memory usage: 34 MB
% 8.45/2.18  % (2268993)Instructions burned: 920 (million)
% 8.45/2.18  % (2269000)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3995279136:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 8.45/2.18  % (2268957) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2268951-2268957"...
% 8.45/2.18  % (2268957)...printing done.
% 8.45/2.18  % (2268957)Refutation found. Thanks to Tanya!
% 8.45/2.18  % SZS status ContradictoryAxioms for theBenchmark
% 8.45/2.18  % SZS output start Proof for theBenchmark
% See solution above
% 8.91/2.20  % (2268957)------------------------------
% 8.91/2.20  % (2268957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/2.20  % (2268957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20  % (2268957)CaDiCaL version: 2.1.3
% 8.91/2.20  % (2268957)Termination reason: Refutation
% 8.91/2.20  % (2268957)Time elapsed: 1.102 s
% 8.91/2.20  % (2268957)Peak memory usage: 42 MB
% 8.91/2.20  % (2268957)Instructions burned: 2181 (million)
% 8.91/2.20  % (2268951)Success in time 1.754 s
% 8.91/2.20  % Vampire exiting
%------------------------------------------------------------------------------