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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP208_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:04 AM UTC 2026

% Result   : Theorem 113.27s 18.35s
% Output   : Refutation 119.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  104 (  48 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  118 (  54   ~;  51   |;   0   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  442 ( 440 usr;   2 prp; 0-7 aty)
%            Number of functors    : 2244 (2244 usr;  94 con; 0-8 aty)
%            Number of variables   :  146 ( 146   !;   0   ?; 146   :)

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

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

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

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

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

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

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

tff(type_def_16,type,
    sum_sum: ( $tType * $tType ) > $tType ).

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

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

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

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

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

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

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

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

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

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

tff(type_def_27,type,
    itself: $tType > $tType ).

tff(type_def_28,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_29,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] : fun(X0,X1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_500,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_501,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

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

tff(func_def_503,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

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

tff(func_def_505,type,
    array_freeze: 
      !>[X0: $tType] : ( array(X0) > heap_Time_Heap(list(X0)) ) ).

tff(func_def_506,type,
    array_get: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * array(X0) ) > list(X0) ) ).

tff(func_def_507,type,
    array_len: 
      !>[X0: $tType] : ( array(X0) > heap_Time_Heap(nat) ) ).

tff(func_def_508,type,
    array_length: 
      !>[X0: $tType] : ( heap_ext(product_unit) > fun(array(X0),nat) ) ).

tff(func_def_509,type,
    array_make: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_510,type,
    array_map_entry: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * array(X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_511,type,
    array_new: 
      !>[X0: $tType] : ( ( nat * X0 ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_512,type,
    array_nth: 
      !>[X0: $tType] : ( ( array(X0) * nat ) > heap_Time_Heap(X0) ) ).

tff(func_def_513,type,
    array_of_list: 
      !>[X0: $tType] : ( list(X0) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_514,type,
    array_present: 
      !>[X0: $tType] : ( heap_ext(product_unit) > fun(array(X0),$o) ) ).

tff(func_def_515,type,
    array_set: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_516,type,
    array_swap: 
      !>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_517,type,
    array_upd: 
      !>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_518,type,
    array_update: 
      !>[X0: $tType] : ( ( array(X0) * nat * X0 * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_519,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_520,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_521,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_522,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_523,type,
    bNF_We413866401316099525erIncl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

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

tff(func_def_525,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_526,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_527,type,
    basic_BNF_size_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * sum_sum(X0,X1) ) > nat ) ).

tff(func_def_528,type,
    basic_pred_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) ) > fun(product_prod(X0,X1),$o) ) ).

tff(func_def_529,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_530,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_531,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_532,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_533,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_534,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_535,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_536,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_537,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_538,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_539,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_540,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_541,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_542,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_543,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_544,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_545,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_546,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_547,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : fun(X0,fun(nat,$o)) ).

tff(func_def_548,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_549,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_550,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_551,type,
    code_Nat: fun(code_integer,code_natural) ).

tff(func_def_552,type,
    code_Neg: num > code_integer ).

tff(func_def_553,type,
    code_Pos: fun(num,code_integer) ).

tff(func_def_554,type,
    code_Suc: fun(code_natural,code_natural) ).

tff(func_def_555,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_556,type,
    code_cr_integer: fun(int,fun(code_integer,$o)) ).

tff(func_def_557,type,
    code_cr_natural: fun(nat,fun(code_natural,$o)) ).

tff(func_def_558,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_559,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_560,type,
    code_dup: fun(code_integer,code_integer) ).

tff(func_def_561,type,
    code_int_of_integer: fun(code_integer,int) ).

tff(func_def_562,type,
    code_integer_of_int: fun(int,code_integer) ).

tff(func_def_563,type,
    code_integer_of_nat: fun(nat,code_integer) ).

tff(func_def_564,type,
    code_i5400310926305786745atural: fun(code_natural,code_integer) ).

tff(func_def_565,type,
    code_integer_of_num: fun(num,code_integer) ).

tff(func_def_566,type,
    code_nat_of_integer: fun(code_integer,nat) ).

tff(func_def_567,type,
    code_case_natural: 
      !>[X0: $tType] : ( ( X0 * fun(code_natural,X0) ) > fun(code_natural,X0) ) ).

tff(func_def_568,type,
    code_nat_of_natural: fun(code_natural,nat) ).

tff(func_def_569,type,
    code_natural_of_nat: fun(nat,code_natural) ).

tff(func_def_570,type,
    code_rec_natural: 
      !>[X0: $tType] : ( ( X0 * fun(code_natural,fun(X0,X0)) ) > fun(code_natural,X0) ) ).

tff(func_def_571,type,
    code_rec_set_natural: 
      !>[X0: $tType] : ( ( X0 * fun(code_natural,fun(X0,X0)) * code_natural ) > fun(X0,$o) ) ).

tff(func_def_572,type,
    code_n4118661773612635043nteger: fun(code_integer,code_natural) ).

tff(func_def_573,type,
    code_negative: fun(num,code_integer) ).

tff(func_def_574,type,
    code_num_of_integer: fun(code_integer,num) ).

tff(func_def_575,type,
    code_pcr_integer: fun(int,fun(code_integer,$o)) ).

tff(func_def_576,type,
    code_pcr_natural: fun(nat,fun(code_natural,$o)) ).

tff(func_def_577,type,
    code_positive: fun(num,code_integer) ).

tff(func_def_578,type,
    code_size_nat: fun(code_natural,nat) ).

tff(func_def_579,type,
    code_sub: fun(num,fun(num,code_integer)) ).

tff(func_def_580,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

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

tff(func_def_582,type,
    comple187402453842119260l_fixp: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_583,type,
    comple115746919287870866o_fixp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_584,type,
    comple6359979572994053840erates: 
      !>[X0: $tType] : ( fun(X0,X0) > set(X0) ) ).

tff(func_def_585,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_586,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_587,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_588,type,
    condit16957441358409770ng_bdd: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),$o) ) ).

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

tff(func_def_590,type,
    nth_item: 
      !>[X0: $tType] : ( nat > set(old_node(X0,product_unit)) ) ).

tff(func_def_591,type,
    nth_item_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_592,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_593,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_594,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_595,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_596,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_597,type,
    euclid6346220572633701492n_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_598,type,
    euclid7384307370059645450egment: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_599,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_600,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

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

tff(func_def_602,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_603,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_604,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_605,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_606,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

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

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

tff(func_def_609,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_610,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_611,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_612,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_613,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_614,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_615,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_616,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_617,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

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

tff(func_def_619,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_620,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_621,type,
    bounde2362111253966948842tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).

tff(func_def_622,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_623,type,
    gcd_lcm: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_624,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_625,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_626,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

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

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

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

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

tff(func_def_631,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_632,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

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

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

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

tff(func_def_636,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_637,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_638,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_639,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_640,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_641,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_642,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_643,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_644,type,
    groups_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(list(X0),X0) ) ).

tff(func_def_645,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_646,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

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

tff(func_def_648,type,
    addr_of_array: 
      !>[X0: $tType] : ( array(X0) > nat ) ).

tff(func_def_649,type,
    array2: 
      !>[X0: $tType] : ( nat > array(X0) ) ).

tff(func_def_650,type,
    size_array: 
      !>[X0: $tType] : ( ( fun(X0,nat) * array(X0) ) > nat ) ).

tff(func_def_651,type,
    empty: heap_ext(product_unit) ).

tff(func_def_652,type,
    arrays: 
      !>[X0: $tType] : ( ( heap_ext(X0) * typerep * nat ) > list(nat) ) ).

tff(func_def_653,type,
    heap_ext2: 
      !>[X0: $tType] : ( ( fun(typerep,fun(nat,list(nat))) * fun(typerep,fun(nat,nat)) * nat * X0 ) > heap_ext(X0) ) ).

tff(func_def_654,type,
    lim: 
      !>[X0: $tType] : ( heap_ext(X0) > nat ) ).

tff(func_def_655,type,
    lim_update: 
      !>[X0: $tType] : ( ( fun(nat,nat) * heap_ext(X0) ) > heap_ext(X0) ) ).

tff(func_def_656,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_657,type,
    heap_Time_case_Heap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),X1) * heap_Time_Heap(X0) ) > X1 ) ).

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

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

tff(func_def_660,type,
    heap_Time_rec_Heap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),X1) * heap_Time_Heap(X0) ) > X1 ) ).

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

tff(func_def_662,type,
    heap_Time_set_Heap: 
      !>[X0: $tType] : ( heap_Time_Heap(X0) > set(X0) ) ).

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

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

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

tff(func_def_666,type,
    heap_Time_assert: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > heap_Time_Heap(X0) ) ).

tff(func_def_667,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_668,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_669,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_670,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_671,type,
    heap_Time_lift: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,heap_Time_Heap(X1)) ) ).

tff(func_def_672,type,
    heap_Time_raise: 
      !>[X0: $tType] : ( list(char) > heap_Time_Heap(X0) ) ).

tff(func_def_673,type,
    heap_Time_return: 
      !>[X0: $tType] : fun(X0,heap_Time_Heap(X0)) ).

tff(func_def_674,type,
    heap_Time_tap: 
      !>[X0: $tType] : ( fun(heap_ext(product_unit),X0) > heap_Time_Heap(X0) ) ).

tff(func_def_675,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_676,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_677,type,
    heap_Time_ureturn: 
      !>[X0: $tType] : fun(X0,heap_Time_Heap(X0)) ).

tff(func_def_678,type,
    heap_Time_wait: nat > heap_Time_Heap(product_unit) ).

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

tff(func_def_680,type,
    complete_lattice_gfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

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

tff(func_def_682,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_683,type,
    neg: num > int ).

tff(func_def_684,type,
    pos: fun(num,int) ).

tff(func_def_685,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_686,type,
    cr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_687,type,
    dup: int > int ).

tff(func_def_688,type,
    abs_int: fun(set(product_prod(nat,nat)),int) ).

tff(func_def_689,type,
    rep_int: fun(int,set(product_prod(nat,nat))) ).

tff(func_def_690,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_691,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_692,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_693,type,
    nat2: fun(int,nat) ).

tff(func_def_694,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_695,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_696,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_697,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_698,type,
    sub: ( num * num ) > int ).

tff(func_def_699,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_700,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_701,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_702,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_703,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_704,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_705,type,
    lattices_ord_arg_max: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_706,type,
    lattic1883929316492267755max_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

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

tff(func_def_708,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_709,type,
    lattic501386751176901750rg_max: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_710,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_711,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_712,type,
    lattic5214292709420241887eutr_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(set(X0),X0) ) ).

tff(func_def_713,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(set(X0),X0) ) ).

tff(func_def_714,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_715,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_716,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_717,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_718,type,
    butlast: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_719,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_720,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_721,type,
    count_list: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_722,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_723,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_724,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_725,type,
    filter: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_726,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

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

tff(func_def_728,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_729,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

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

tff(func_def_731,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_732,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_733,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_734,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_735,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

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

tff(func_def_737,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

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

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

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

tff(func_def_741,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_742,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_743,type,
    set2: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_744,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_745,type,
    tl: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_746,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_747,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_748,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_749,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_750,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_751,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_752,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_753,type,
    ord_lexordp: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_754,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_755,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

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

tff(func_def_757,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_758,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_759,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_760,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

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

tff(func_def_762,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_763,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_764,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_765,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

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

tff(func_def_767,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_768,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_769,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_770,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_771,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_772,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X0,X1)) * X0 ) > option(X1) ) ).

tff(func_def_773,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_774,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_775,type,
    suc: fun(nat,nat) ).

tff(func_def_776,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

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

tff(func_def_778,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_779,type,
    pred: nat > nat ).

tff(func_def_780,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_781,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_782,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_783,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_784,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_785,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_786,type,
    nat_int_decode: fun(nat,int) ).

tff(func_def_787,type,
    nat_int_encode: fun(int,nat) ).

tff(func_def_788,type,
    nat_list_decode: fun(nat,list(nat)) ).

tff(func_def_789,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_790,type,
    nat_list_encode: fun(list(nat),nat) ).

tff(func_def_791,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_792,type,
    nat_prod_decode: fun(nat,product_prod(nat,nat)) ).

tff(func_def_793,type,
    nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).

tff(func_def_794,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_795,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_796,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_797,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_798,type,
    nat_sum_decode: fun(nat,sum_sum(nat,nat)) ).

tff(func_def_799,type,
    nat_sum_encode: fun(sum_sum(nat,nat),nat) ).

tff(func_def_800,type,
    nat_triangle: nat > nat ).

tff(func_def_801,type,
    bitM: num > num ).

tff(func_def_802,type,
    inc: num > num ).

tff(func_def_803,type,
    nat_of_num: fun(num,nat) ).

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

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

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

tff(func_def_807,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_808,type,
    bit0: num > num ).

tff(func_def_809,type,
    bit1: fun(num,num) ).

tff(func_def_810,type,
    one2: num ).

tff(func_def_811,type,
    case_num: 
      !>[X0: $tType] : fun(X0,fun(fun(num,X0),fun(fun(num,X0),fun(num,X0)))) ).

tff(func_def_812,type,
    rec_num: 
      !>[X0: $tType] : fun(X0,fun(fun(num,fun(X0,X0)),fun(fun(num,fun(X0,X0)),fun(num,X0)))) ).

tff(func_def_813,type,
    size_num: num > nat ).

tff(func_def_814,type,
    num_of_nat: fun(nat,num) ).

tff(func_def_815,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_816,type,
    pow: ( num * num ) > num ).

tff(func_def_817,type,
    pred_numeral: num > nat ).

tff(func_def_818,type,
    sqr: num > num ).

tff(func_def_819,type,
    old_Atom: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,nat) > set(old_node(X0,X1)) ) ).

tff(func_def_820,type,
    old_In0: 
      !>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).

tff(func_def_821,type,
    old_In1: 
      !>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).

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

tff(func_def_823,type,
    old_Node: 
      !>[X0: $tType,X1: $tType] : set(product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat))) ).

tff(func_def_824,type,
    old_Numb: 
      !>[X0: $tType,X1: $tType] : ( nat > set(old_node(X0,X1)) ) ).

tff(func_def_825,type,
    old_Push: 
      !>[X0: $tType] : ( ( sum_sum(X0,nat) * fun(nat,sum_sum(X0,nat)) * nat ) > sum_sum(X0,nat) ) ).

tff(func_def_826,type,
    old_Push_Node: 
      !>[X0: $tType,X1: $tType] : ( sum_sum(X0,nat) > fun(old_node(X1,X0),old_node(X1,X0)) ) ).

tff(func_def_827,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_828,type,
    old_ndepth: 
      !>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > nat ) ).

tff(func_def_829,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_830,type,
    old_Rep_Node: 
      !>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) ) ).

tff(func_def_831,type,
    old_ntrunc: 
      !>[X0: $tType,X1: $tType] : ( ( nat * set(old_node(X0,X1)) ) > set(old_node(X0,X1)) ) ).

tff(func_def_832,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_833,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_834,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_835,type,
    size_option: 
      !>[X0: $tType] : ( ( fun(X0,nat) * option(X0) ) > nat ) ).

tff(func_def_836,type,
    the2: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_837,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_838,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

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

tff(func_def_840,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_841,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_842,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_843,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_844,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_845,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_846,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_847,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_848,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

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

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

tff(func_def_851,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_852,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_853,type,
    power2: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) * X0 * nat ) > X0 ) ).

tff(func_def_854,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

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

tff(func_def_856,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_857,type,
    product_Unity: product_unit ).

tff(func_def_858,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_859,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_860,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).

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

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

tff(func_def_863,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_864,type,
    quot_abs: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(set(X0),X1) ) > fun(X0,X1) ) ).

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

tff(func_def_866,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_867,type,
    log_rel: fun(product_prod(code_natural,code_natural),fun(product_prod(code_natural,code_natural),$o)) ).

tff(func_def_868,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_869,type,
    pick: 
      !>[X0: $tType] : ( list(product_prod(code_natural,X0)) > fun(code_natural,X0) ) ).

tff(func_def_870,type,
    range: ( code_natural * product_prod(code_natural,code_natural) ) > product_prod(code_natural,product_prod(code_natural,code_natural)) ).

tff(func_def_871,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_872,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_873,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_874,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_875,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_876,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_877,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : ( rat > X0 ) ).

tff(func_def_878,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_879,type,
    of_int: int > rat ).

tff(func_def_880,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_881,type,
    positive: fun(rat,$o) ).

tff(func_def_882,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_883,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_884,type,
    tuple_1188178415141063261rphism: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(product_prod(X1,X2),X0) ) > tuple_isomorphism(X0,X1,X2) ) ).

tff(func_def_885,type,
    tuple_9181185373184732606rphism: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * fun(X2,nat) * tuple_isomorphism(X0,X1,X2) ) > nat ) ).

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

tff(func_def_887,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_888,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_889,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_890,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_891,type,
    divide_divide: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_892,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_893,type,
    modulo_modulo: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_894,type,
    normal6383669964737779283malize: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_895,type,
    unit_f5069060285200089521factor: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_896,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_897,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_898,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_899,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > set(X1) ) ).

tff(func_def_900,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_901,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_902,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_903,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_904,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_905,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_906,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_907,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_908,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_909,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_910,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_911,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_912,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_913,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_914,type,
    size_char: char > nat ).

tff(func_def_915,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_916,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

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

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

tff(func_def_919,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_920,type,
    sum_case_sum: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * sum_sum(X0,X2) ) > X1 ) ).

tff(func_def_921,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_922,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_923,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_924,type,
    transitive_tranclp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_925,type,
    typerep3: ( literal * list(typerep) ) > typerep ).

tff(func_def_926,type,
    size_typerep: fun(typerep,nat) ).

tff(func_def_927,type,
    typerep_typerep: 
      !>[X0: $tType] : ( itself(X0) > typerep ) ).

tff(func_def_928,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_929,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_930,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_931,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_932,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_933,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_934,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_935,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_936,type,
    chains: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_937,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_938,type,
    pred_suc: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_939,type,
    pred_s596693808085603175closed: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > set(set(X0)) ) ).

tff(func_def_940,type,
    pred_s7749564232668923593losedp: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

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

tff(func_def_942,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_943,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_944,type,
    a2: array(a) ).

tff(func_def_945,type,
    h: heap_ext(product_unit) ).

tff(func_def_946,type,
    h2: heap_ext(product_unit) ).

tff(func_def_947,type,
    n: nat ).

tff(func_def_948,type,
    r: nat ).

tff(func_def_949,type,
    m0: 
      !>[X0: $tType] : X0 ).

tff(func_def_950,type,
    k1: code_integer ).

tff(func_def_951,type,
    m2: 
      !>[X0: $tType] : X0 ).

tff(func_def_952,type,
    w3: 
      !>[X0: $tType] : X0 ).

tff(func_def_953,type,
    w4: 
      !>[X0: $tType] : X0 ).

tff(func_def_954,type,
    k5: code_integer ).

tff(func_def_955,type,
    d6: int ).

tff(func_def_956,type,
    l7: 
      !>[X0: $tType] : X0 ).

tff(func_def_957,type,
    a38: int ).

tff(func_def_958,type,
    a39: int ).

tff(func_def_959,type,
    l10: code_integer ).

tff(func_def_960,type,
    pv11: nat ).

tff(func_def_961,type,
    pv12: nat ).

tff(func_def_962,type,
    m13: 
      !>[X0: $tType] : X0 ).

tff(func_def_963,type,
    m14: 
      !>[X0: $tType] : X0 ).

tff(func_def_964,type,
    m15: 
      !>[X0: $tType] : X0 ).

tff(func_def_965,type,
    m16: nat ).

tff(func_def_966,type,
    m17: nat ).

tff(func_def_967,type,
    l18: nat ).

tff(func_def_968,type,
    r219: 
      !>[X0: $tType] : array(X0) ).

tff(func_def_969,type,
    l220: int ).

tff(func_def_970,type,
    l221: num ).

tff(func_def_971,type,
    l322: num ).

tff(func_def_972,type,
    l223: nat ).

tff(func_def_973,type,
    l324: nat ).

tff(func_def_976,type,
    iG25: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_977,type,
    iG26: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_978,type,
    iG27: ( $o * nat * nat ) > nat ).

tff(func_def_979,type,
    iG28: ( $o * nat * nat ) > int ).

tff(func_def_980,type,
    iG29: int > int ).

tff(func_def_981,type,
    iG30: 
      !>[X0: $tType] : ( ( $o * X0 * X0 ) > heap_Time_Heap(X0) ) ).

tff(func_def_982,type,
    iG31: 
      !>[X0: $tType] : ( ( $o * X0 * X0 ) > X0 ) ).

tff(func_def_983,type,
    iG32: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_984,type,
    iG33: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_985,type,
    iG34: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_986,type,
    iG35: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_987,type,
    iG36: ( nat * nat * nat ) > nat ).

tff(func_def_988,type,
    iG37: int > int ).

tff(func_def_989,type,
    iG38: ( nat * nat ) > nat ).

tff(func_def_990,type,
    iG39: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_991,type,
    bG40: nat > $o ).

tff(func_def_992,type,
    iG41: ( int * nat ) > $o ).

tff(func_def_993,type,
    iG42: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_994,type,
    iG43: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_995,type,
    iG44: ( nat * nat ) > nat ).

tff(func_def_996,type,
    iG47: ( nat * nat ) > nat ).

tff(func_def_997,type,
    iG48: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_998,type,
    iG49: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_999,type,
    iG50: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1000,type,
    iG51: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1001,type,
    iG54: int > int ).

tff(func_def_1002,type,
    iG55: int > int ).

tff(func_def_1003,type,
    iG58: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1004,type,
    iG59: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1005,type,
    iG60: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1006,type,
    iG61: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1007,type,
    iG62: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1008,type,
    iG63: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1009,type,
    iG64: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1010,type,
    iG65: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1011,type,
    iG66: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1012,type,
    iG67: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1013,type,
    iG68: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1014,type,
    iG69: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1015,type,
    iG70: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1016,type,
    iG71: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1017,type,
    iG72: ( int * int ) > int ).

tff(func_def_1018,type,
    iG73: ( int * int ) > int ).

tff(func_def_1019,type,
    iG74: ( int * int ) > int ).

tff(func_def_1020,type,
    iG75: ( int * int ) > int ).

tff(func_def_1021,type,
    iG76: ( nat * nat ) > int ).

tff(func_def_1022,type,
    bG77: ( nat * nat ) > $o ).

tff(func_def_1023,type,
    iG78: ( int * int * nat * nat ) > int ).

tff(func_def_1024,type,
    iG79: ( int * int * nat * nat ) > int ).

tff(func_def_1025,type,
    bG80: $o > $o ).

tff(func_def_1026,type,
    bG81: $o > $o ).

tff(func_def_1027,type,
    bG82: $o > $o ).

tff(func_def_1028,type,
    bG83: $o > $o ).

tff(func_def_1029,type,
    bG84: $o > $o ).

tff(func_def_1030,type,
    bG85: $o > $o ).

tff(func_def_1031,type,
    bG86: $o > $o ).

tff(func_def_1032,type,
    bG87: $o > $o ).

tff(func_def_1033,type,
    bG88: $o > $o ).

tff(func_def_1034,type,
    bG89: $o > $o ).

tff(func_def_1035,type,
    bG90: $o > $o ).

tff(func_def_1036,type,
    bG91: $o > $o ).

tff(func_def_1037,type,
    bG92: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1038,type,
    bG93: nat > $o ).

tff(func_def_1039,type,
    bG94: $o > $o ).

tff(func_def_1040,type,
    bG95: $o > $o ).

tff(func_def_1041,type,
    bG96: ( $o * $o ) > $o ).

tff(func_def_1042,type,
    bG97: $o > $o ).

tff(func_def_1043,type,
    bG98: $o > $o ).

tff(func_def_1044,type,
    bG99: $o > $o ).

tff(func_def_1045,type,
    bG100: $o > $o ).

tff(func_def_1046,type,
    bG101: $o > $o ).

tff(func_def_1047,type,
    iG102: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_1048,type,
    bG103: $o > $o ).

tff(func_def_1049,type,
    bG104: $o > $o ).

tff(func_def_1050,type,
    iG105: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1051,type,
    iG106: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1052,type,
    bG107: ( nat * nat ) > $o ).

tff(func_def_1053,type,
    iG108: ( int * int * nat * nat ) > int ).

tff(func_def_1054,type,
    iG109: ( int * int * nat * nat ) > int ).

tff(func_def_1055,type,
    iG110: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1056,type,
    iG111: ( nat * nat ) > nat ).

tff(func_def_1057,type,
    iG112: ( int * int ) > int ).

tff(func_def_1058,type,
    iG113: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1059,type,
    iG114: ( nat * nat ) > nat ).

tff(func_def_1060,type,
    iG115: ( nat * nat ) > nat ).

tff(func_def_1061,type,
    bG116: ( int * int ) > $o ).

tff(func_def_1062,type,
    iG117: ( int * int ) > int ).

tff(func_def_1063,type,
    iG118: ( int * int ) > int ).

tff(func_def_1064,type,
    bG119: $o > $o ).

tff(func_def_1065,type,
    bG120: $o > $o ).

tff(func_def_1066,type,
    bG121: $o > $o ).

tff(func_def_1067,type,
    bG122: $o > $o ).

tff(func_def_1068,type,
    bG123: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1069,type,
    bG124: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1070,type,
    iG125: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1071,type,
    iG126: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1072,type,
    bG127: ( int * int ) > $o ).

tff(func_def_1073,type,
    iG128: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1074,type,
    iG129: int > int ).

tff(func_def_1075,type,
    iG130: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1076,type,
    bG131: ( int * int ) > $o ).

tff(func_def_1077,type,
    iG132: ( int * int ) > int ).

tff(func_def_1078,type,
    iG133: ( int * int ) > int ).

tff(func_def_1079,type,
    iG134: ( nat * nat ) > nat ).

tff(func_def_1080,type,
    iG135: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1081,type,
    iG136: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1082,type,
    iG137: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1083,type,
    iG138: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1084,type,
    iG139: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1085,type,
    iG140: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1086,type,
    iG141: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1087,type,
    iG142: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1088,type,
    iG143: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1089,type,
    bG144: $o > $o ).

tff(func_def_1090,type,
    bG145: $o > $o ).

tff(func_def_1091,type,
    iG152: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1092,type,
    iG153: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1093,type,
    iG154: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1094,type,
    iG155: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1095,type,
    iG158: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1096,type,
    iG159: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1097,type,
    iG160: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1098,type,
    iG161: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1099,type,
    iG162: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1100,type,
    iG163: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1101,type,
    iG164: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1102,type,
    iG165: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1103,type,
    iG166: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1104,type,
    iG167: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1105,type,
    iG168: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_1106,type,
    bG169: $o > $o ).

tff(func_def_1107,type,
    bG170: nat > $o ).

tff(func_def_1108,type,
    bG171: nat > $o ).

tff(func_def_1109,type,
    iG172: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1110,type,
    iG173: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1111,type,
    bG174: $o > $o ).

tff(func_def_1112,type,
    bG175: $o > $o ).

tff(func_def_1113,type,
    iG176: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1114,type,
    bG177: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_1115,type,
    iG178: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1116,type,
    iG179: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1117,type,
    iG180: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1118,type,
    iG181: ( int * int ) > int ).

tff(func_def_1119,type,
    iG182: ( int * int ) > int ).

tff(func_def_1120,type,
    iG183: ( int * int ) > int ).

tff(func_def_1121,type,
    bG184: nat > $o ).

tff(func_def_1122,type,
    iG185: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_1123,type,
    iG186: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1124,type,
    iG187: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1125,type,
    iG188: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1126,type,
    iG189: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1127,type,
    iG190: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1128,type,
    iG191: ( nat * nat ) > nat ).

tff(func_def_1129,type,
    iG192: ( nat * nat ) > nat ).

tff(func_def_1130,type,
    bG193: ( int * int ) > $o ).

tff(func_def_1131,type,
    bG194: ( nat * nat ) > $o ).

tff(func_def_1132,type,
    bG195: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1133,type,
    bG196: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1134,type,
    iG197: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1135,type,
    bG198: nat > $o ).

tff(func_def_1136,type,
    iG199: ( nat * nat ) > nat ).

tff(func_def_1137,type,
    iG200: ( nat * nat ) > nat ).

tff(func_def_1138,type,
    iG201: ( nat * nat ) > nat ).

tff(func_def_1139,type,
    bG202: ( nat * nat ) > $o ).

tff(func_def_1140,type,
    bG203: ( int * int ) > $o ).

tff(func_def_1141,type,
    iG204: ( int * int ) > int ).

tff(func_def_1142,type,
    iG205: ( int * int ) > int ).

tff(func_def_1143,type,
    iG206: ( int * int ) > int ).

tff(func_def_1144,type,
    iG207: ( int * int ) > int ).

tff(func_def_1145,type,
    bG208: $o > $o ).

tff(func_def_1146,type,
    bG209: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1147,type,
    iG210: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_1148,type,
    bG211: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1149,type,
    iG212: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_1150,type,
    bG213: ( nat * int ) > $o ).

tff(func_def_1151,type,
    bG214: ( int * int ) > $o ).

tff(func_def_1152,type,
    bG215: $o > $o ).

tff(func_def_1153,type,
    bG216: ( nat * $o ) > $o ).

tff(func_def_1154,type,
    bG217: nat > $o ).

tff(func_def_1155,type,
    iG218: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1156,type,
    bG219: ( nat * nat ) > $o ).

tff(func_def_1157,type,
    iG220: ( int * int ) > int ).

tff(func_def_1158,type,
    iG221: ( int * int ) > int ).

tff(func_def_1159,type,
    iG222: ( int * int ) > int ).

tff(func_def_1160,type,
    iG223: ( nat * nat ) > nat ).

tff(func_def_1161,type,
    iG224: ( nat * nat ) > nat ).

tff(func_def_1162,type,
    bG225: ( $o * $o ) > $o ).

tff(func_def_1163,type,
    bG226: $o > $o ).

tff(func_def_1164,type,
    bG227: $o > $o ).

tff(func_def_1165,type,
    iG228: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1166,type,
    iG229: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1167,type,
    iG230: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1168,type,
    iG231: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1169,type,
    bG232: nat > $o ).

tff(func_def_1170,type,
    iG233: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1171,type,
    iG234: nat > num ).

tff(func_def_1172,type,
    iG235: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1173,type,
    iG236: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1174,type,
    iG237: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1175,type,
    iG238: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1176,type,
    iG239: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1177,type,
    iG240: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1178,type,
    iG241: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1179,type,
    iG242: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1180,type,
    iG243: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1181,type,
    iG244: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1182,type,
    iG245: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1183,type,
    iG246: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1184,type,
    bG247: ( int * int ) > $o ).

tff(func_def_1185,type,
    bG248: ( int * int ) > $o ).

tff(func_def_1186,type,
    iG249: ( int * int ) > int ).

tff(func_def_1187,type,
    bG250: ( int * int ) > $o ).

tff(func_def_1188,type,
    bG251: ( int * int ) > $o ).

tff(func_def_1189,type,
    iG252: ( int * int ) > int ).

tff(func_def_1190,type,
    iG253: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1191,type,
    iG254: ( int * int ) > set(int) ).

tff(func_def_1192,type,
    iG255: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1193,type,
    iG256: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1194,type,
    iG257: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1195,type,
    iG258: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1196,type,
    iG259: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1197,type,
    iG260: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1198,type,
    bG261: int > $o ).

tff(func_def_1199,type,
    iG262: ( int * int ) > int ).

tff(func_def_1200,type,
    iG263: ( int * int ) > int ).

tff(func_def_1201,type,
    bG266: ( int * int ) > $o ).

tff(func_def_1202,type,
    bG267: ( int * int ) > $o ).

tff(func_def_1203,type,
    iG268: ( int * int ) > int ).

tff(func_def_1204,type,
    bG269: ( int * int ) > $o ).

tff(func_def_1205,type,
    bG270: ( int * int ) > $o ).

tff(func_def_1206,type,
    iG271: ( int * int ) > int ).

tff(func_def_1207,type,
    iG272: ( int * int * list(int) ) > list(int) ).

tff(func_def_1208,type,
    bG273: code_integer > $o ).

tff(func_def_1209,type,
    iG274: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1210,type,
    iG275: code_integer > code_integer ).

tff(func_def_1211,type,
    iG276: code_integer > code_integer ).

tff(func_def_1212,type,
    bG277: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_1213,type,
    iG278: code_integer > code_integer ).

tff(func_def_1214,type,
    iG279: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_1215,type,
    iG280: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1216,type,
    iG281: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1217,type,
    iG282: rat > rat ).

tff(func_def_1218,type,
    iG283: rat > rat ).

tff(func_def_1219,type,
    iG284: rat > rat ).

tff(func_def_1220,type,
    iG285: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1221,type,
    iG286: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1222,type,
    iG287: ( int * int ) > int ).

tff(func_def_1223,type,
    iG288: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1224,type,
    iG289: ( nat * nat ) > nat ).

tff(func_def_1225,type,
    iG290: ( nat * nat ) > nat ).

tff(func_def_1226,type,
    iG291: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1227,type,
    iG292: ( nat * nat ) > nat ).

tff(func_def_1228,type,
    iG293: ( int * int ) > int ).

tff(func_def_1229,type,
    iG294: ( int * int ) > list(int) ).

tff(func_def_1230,type,
    iG295: ( int * int ) > list(int) ).

tff(func_def_1231,type,
    iG296: ( num * num ) > list(int) ).

tff(func_def_1232,type,
    iG297: ( num * num ) > list(int) ).

tff(func_def_1233,type,
    iG298: ( num * num ) > list(int) ).

tff(func_def_1234,type,
    iG299: ( num * num ) > list(int) ).

tff(func_def_1235,type,
    iG300: ( int * int ) > list(int) ).

tff(func_def_1236,type,
    iG301: ( int * int ) > list(int) ).

tff(func_def_1237,type,
    iG302: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1238,type,
    iG303: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_1239,type,
    iG304: ( num * num ) > list(nat) ).

tff(func_def_1240,type,
    iG305: ( nat * nat ) > list(nat) ).

tff(func_def_1241,type,
    iG306: ( nat * nat ) > list(nat) ).

tff(func_def_1242,type,
    iG307: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1243,type,
    iG308: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1244,type,
    iG310: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_1245,type,
    iG311: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1246,type,
    iG312: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1247,type,
    iG313: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_1248,type,
    iG314: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1249,type,
    iG315: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1250,type,
    iG316: ( nat * nat ) > set(nat) ).

tff(func_def_1251,type,
    iG317: ( num * nat ) > set(nat) ).

tff(func_def_1252,type,
    iG318: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1253,type,
    iG319: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1254,type,
    iG320: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1255,type,
    iG321: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1256,type,
    iG322: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1257,type,
    iG323: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1258,type,
    iG324: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1259,type,
    iG325: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1260,type,
    iG326: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1261,type,
    iG327: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1262,type,
    lG328: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1263,type,
    iG329: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1264,type,
    iG330: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1265,type,
    lG331: num > code_integer ).

tff(func_def_1266,type,
    lG332: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1267,type,
    lG333: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1268,type,
    lG334: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1269,type,
    lG335: num > code_integer ).

tff(func_def_1270,type,
    iG336: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1271,type,
    lG337: ( int * int ) > int ).

tff(func_def_1272,type,
    iG338: ( int * int ) > nat ).

tff(func_def_1273,type,
    iG339: ( int * int ) > nat ).

tff(func_def_1274,type,
    iG340: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1275,type,
    iG341: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1276,type,
    iG342: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1277,type,
    iG343: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1278,type,
    iG344: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1279,type,
    iG345: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1280,type,
    iG346: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1281,type,
    iG347: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1282,type,
    iG348: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1283,type,
    iG349: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1284,type,
    iG350: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1285,type,
    iG351: ( nat * nat ) > set(nat) ).

tff(func_def_1286,type,
    iG352: ( nat * nat * nat ) > set(nat) ).

tff(func_def_1287,type,
    lG353: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1288,type,
    iG354: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1289,type,
    iG355: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1290,type,
    lG356: product_prod(int,int) > int ).

tff(func_def_1291,type,
    lG357: product_prod(int,int) > int ).

tff(func_def_1292,type,
    iG358: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1293,type,
    iG359: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1294,type,
    iG360: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1295,type,
    iG361: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1296,type,
    iG362: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1297,type,
    lG363: int > code_integer ).

tff(func_def_1298,type,
    iG364: int > code_integer ).

tff(func_def_1299,type,
    iG365: int > code_integer ).

tff(func_def_1300,type,
    iG366: int > code_integer ).

tff(func_def_1301,type,
    iG367: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1302,type,
    iG368: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1303,type,
    iG369: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1304,type,
    iG370: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1305,type,
    iG371: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1306,type,
    iG372: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1307,type,
    iG373: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1308,type,
    iG374: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1309,type,
    iG375: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1310,type,
    iG376: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1311,type,
    iG377: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_1312,type,
    iG378: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_1313,type,
    iG379: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1314,type,
    iG380: code_integer > nat ).

tff(func_def_1315,type,
    iG381: code_integer > num ).

tff(func_def_1316,type,
    iG382: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1317,type,
    iG383: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1318,type,
    iG384: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1319,type,
    iG385: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1320,type,
    iG386: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1321,type,
    iG387: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1322,type,
    iG388: code_integer > int ).

tff(func_def_1323,type,
    iG389: code_integer > int ).

tff(func_def_1324,type,
    iG390: 
      !>[X0: $tType] : ( list(list(X0)) > nat ) ).

tff(func_def_1325,type,
    iG391: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1326,type,
    iG392: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1327,type,
    iG393: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1328,type,
    iG394: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1329,type,
    iG395: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1330,type,
    lG396: num > nat ).

tff(func_def_1331,type,
    iG397: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1332,type,
    iG398: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1333,type,
    iG399: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1334,type,
    lG400: num > nat ).

tff(func_def_1335,type,
    iG401: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1336,type,
    iG402: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_1337,type,
    iG403: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_1338,type,
    iG404: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1339,type,
    iG405: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1340,type,
    iG406: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1341,type,
    iG407: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_1342,type,
    iG408: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1343,type,
    iG409: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1344,type,
    iG410: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1345,type,
    iG411: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1346,type,
    iG412: set(nat) > nat ).

tff(func_def_1347,type,
    iG413: ( nat * nat ) > nat ).

tff(func_def_1348,type,
    iG414: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1349,type,
    iG415: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1350,type,
    iG416: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) ) > nat ) ).

tff(func_def_1351,type,
    iG417: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1352,type,
    iG418: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1353,type,
    iG419: 
      !>[X0: $tType,X1: $tType] : ( ( $o * fun(X1,heap_Time_Heap(X0)) * heap_Time_Heap(X1) * heap_Time_Heap(X1) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1354,type,
    iG420: ( num * nat ) > option(num) ).

tff(func_def_1355,type,
    iG421: 
      !>[X0: $tType] : ( ( $o * heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1356,type,
    iG422: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1357,type,
    iG423: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_1358,type,
    iG424: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_1359,type,
    iG425: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1360,type,
    iG426: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1361,type,
    iG427: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1362,type,
    iG428: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1363,type,
    iG429: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1364,type,
    iG430: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1365,type,
    iG431: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_1366,type,
    iG432: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_1367,type,
    iG433: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_1368,type,
    iG434: ( int * int ) > product_prod(int,int) ).

tff(func_def_1369,type,
    bG435: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1370,type,
    bG436: $o > $o ).

tff(func_def_1371,type,
    bG437: $o > $o ).

tff(func_def_1372,type,
    bG438: $o > $o ).

tff(func_def_1373,type,
    bG439: $o > $o ).

tff(func_def_1374,type,
    bG440: $o > $o ).

tff(func_def_1375,type,
    bG441: $o > $o ).

tff(func_def_1376,type,
    bG442: $o > $o ).

tff(func_def_1377,type,
    bG443: $o > $o ).

tff(func_def_1378,type,
    iG444: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > heap_Time_Heap(X0) ) ).

tff(func_def_1379,type,
    bG445: $o > $o ).

tff(func_def_1380,type,
    bG446: $o > $o ).

tff(func_def_1381,type,
    bG447: $o > $o ).

tff(func_def_1382,type,
    bG448: $o > $o ).

tff(func_def_1383,type,
    bG449: $o > $o ).

tff(func_def_1384,type,
    bG450: $o > $o ).

tff(func_def_1385,type,
    bG451: $o > $o ).

tff(func_def_1386,type,
    bG452: $o > $o ).

tff(func_def_1387,type,
    iG453: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1388,type,
    iG454: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1389,type,
    lG455: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_1390,type,
    iG456: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_1391,type,
    lG457: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_1392,type,
    iG458: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_1393,type,
    lG459: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_1394,type,
    iG460: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_1395,type,
    iG461: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > nat ) ).

tff(func_def_1396,type,
    iG462: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1397,type,
    iG463: set(nat) > nat ).

tff(func_def_1398,type,
    iG464: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1399,type,
    iG465: nat > nat ).

tff(func_def_1400,type,
    iG466: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1401,type,
    iG467: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1402,type,
    iG468: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1403,type,
    bG469: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1404,type,
    bG470: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(func_def_1405,type,
    bG471: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(func_def_1406,type,
    lG472: num > nat ).

tff(func_def_1407,type,
    lG473: num > nat ).

tff(func_def_1408,type,
    iG474: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1409,type,
    iG475: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1410,type,
    iG476: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_1411,type,
    iG477: 
      !>[X0: $tType] : ( ( product_prod(code_natural,X0) * code_natural * list(product_prod(code_natural,X0)) ) > X0 ) ).

tff(func_def_1412,type,
    iG478: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1413,type,
    iG479: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1414,type,
    iG480: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1415,type,
    iG481: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_1416,type,
    iG482: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_1417,type,
    lG483: heap_ext(product_unit) > nat ).

tff(func_def_1418,type,
    lG484: 
      !>[X0: $tType] : ( heap_ext(product_unit) > array(X0) ) ).

tff(func_def_1419,type,
    iG485: int > sum_sum(nat,nat) ).

tff(func_def_1420,type,
    iG486: nat > sum_sum(nat,nat) ).

tff(func_def_1421,type,
    iG487: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1422,type,
    iG488: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1423,type,
    iG489: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1424,type,
    iG490: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1425,type,
    iG491: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_1426,type,
    iG492: ( int * int ) > product_prod(int,int) ).

tff(func_def_1427,type,
    iG493: ( int * int ) > product_prod(int,int) ).

tff(func_def_1428,type,
    iG494: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_1429,type,
    lG495: code_integer > int ).

tff(func_def_1430,type,
    iG496: ( code_integer * code_integer ) > int ).

tff(func_def_1431,type,
    lG497: code_integer > num ).

tff(func_def_1432,type,
    lG498: code_integer > num ).

tff(func_def_1433,type,
    iG499: ( code_integer * code_integer ) > num ).

tff(func_def_1434,type,
    lG500: code_integer > nat ).

tff(func_def_1435,type,
    lG501: code_integer > nat ).

tff(func_def_1436,type,
    iG502: ( code_integer * code_integer ) > nat ).

tff(func_def_1437,type,
    bG503: int > $o ).

tff(func_def_1438,type,
    iG504: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1439,type,
    iG505: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_1440,type,
    iG506: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_1441,type,
    iG507: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1442,type,
    iG508: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1443,type,
    iG509: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1444,type,
    iG510: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1445,type,
    iG511: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1446,type,
    iG512: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1447,type,
    iG513: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1448,type,
    iG514: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1449,type,
    iG515: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1450,type,
    iG516: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1451,type,
    iG517: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1452,type,
    iG518: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1453,type,
    iG519: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1454,type,
    iG520: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * fun(heap_ext(product_unit),$o) * fun(heap_ext(product_unit),product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) > option(product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) ).

tff(func_def_1455,type,
    iG521: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1456,type,
    bG522: code_integer > $o ).

tff(func_def_1457,type,
    iG523: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1458,type,
    iG524: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1459,type,
    iG525: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1460,type,
    iG526: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1461,type,
    iG527: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1462,type,
    iG528: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1463,type,
    iG529: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1464,type,
    iG530: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1465,type,
    iG531: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1466,type,
    iG532: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * X0 ) > X0 ) ).

tff(func_def_1467,type,
    iG533: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1468,type,
    iG534: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1469,type,
    iG535: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1470,type,
    iG536: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1471,type,
    iG537: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * X0 * fun(nat,X0) ) > X0 ) ).

tff(func_def_1472,type,
    sK586: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_1473,type,
    sK587: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_1474,type,
    sK588: fun(nat,$o) > nat ).

tff(func_def_1475,type,
    sK589: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1476,type,
    sK590: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1477,type,
    sK591: fun(nat,$o) > nat ).

tff(func_def_1478,type,
    sK592: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1479,type,
    sK593: ( int * fun(int,$o) ) > int ).

tff(func_def_1480,type,
    sK594: ( int * fun(int,$o) ) > int ).

tff(func_def_1481,type,
    sK595: ( int * fun(int,$o) ) > int ).

tff(func_def_1482,type,
    sK596: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1483,type,
    sK597: fun(int,$o) > int ).

tff(func_def_1484,type,
    sK598: fun(int,$o) > int ).

tff(func_def_1485,type,
    sK599: fun(nat,$o) > nat ).

tff(func_def_1486,type,
    sK600: ( fun(int,$o) * int ) > int ).

tff(func_def_1487,type,
    sK601: ( fun(int,$o) * int ) > int ).

tff(func_def_1488,type,
    sK602: ( int * fun(int,$o) ) > int ).

tff(func_def_1489,type,
    sK603: ( int * fun(int,$o) ) > int ).

tff(func_def_1490,type,
    sK604: fun(nat,$o) > nat ).

tff(func_def_1491,type,
    sK605: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1492,type,
    sK606: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_1493,type,
    sK607: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > nat ) ).

tff(func_def_1494,type,
    sK608: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > heap_ext(product_unit) ) ).

tff(func_def_1495,type,
    sK609: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > X0 ) ).

tff(func_def_1496,type,
    sK610: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > nat ) ).

tff(func_def_1497,type,
    sK611: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) * heap_ext(product_unit) * heap_ext(product_unit) * X1 * nat ) > nat ) ).

tff(func_def_1498,type,
    sK612: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1499,type,
    sK613: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1500,type,
    sK614: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1501,type,
    sK615: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1502,type,
    sK616: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1503,type,
    sK617: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1504,type,
    sK618: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1505,type,
    sK619: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1506,type,
    sK620: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1507,type,
    sK621: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1508,type,
    sK622: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1509,type,
    sK623: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1510,type,
    sK624: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1511,type,
    sK625: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1512,type,
    sK626: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1513,type,
    sK627: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1514,type,
    sK628: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1515,type,
    sK629: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1516,type,
    sK630: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1517,type,
    sK631: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1518,type,
    sK632: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1519,type,
    sK633: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1520,type,
    sK634: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1521,type,
    sK635: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1522,type,
    sK636: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1523,type,
    sK637: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1524,type,
    sK638: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1525,type,
    sK639: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1526,type,
    sK640: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1527,type,
    sK641: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1528,type,
    sK642: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1529,type,
    sK643: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1530,type,
    sK644: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1531,type,
    sK645: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1532,type,
    sK646: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1533,type,
    sK647: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1534,type,
    sK648: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1535,type,
    sK649: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1536,type,
    sK650: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1537,type,
    sK651: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1538,type,
    sK652: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1539,type,
    sK653: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1540,type,
    sK654: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1541,type,
    sK655: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1542,type,
    sK656: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1543,type,
    sK657: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1544,type,
    sK658: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1545,type,
    sK659: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1546,type,
    sK660: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1547,type,
    sK661: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1548,type,
    sK662: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1549,type,
    sK663: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1550,type,
    sK664: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1551,type,
    sK665: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1552,type,
    sK666: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1553,type,
    sK667: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1554,type,
    sK668: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1555,type,
    sK669: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1556,type,
    sK670: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1557,type,
    sK671: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1558,type,
    sK672: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1559,type,
    sK673: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1560,type,
    sK674: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1561,type,
    sK675: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1562,type,
    sK676: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1563,type,
    sK677: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1564,type,
    sK678: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1565,type,
    sK679: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1566,type,
    sK680: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1567,type,
    sK681: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1568,type,
    sK682: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1569,type,
    sK683: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1570,type,
    sK684: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1571,type,
    sK685: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1572,type,
    sK686: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1573,type,
    sK687: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1574,type,
    sK688: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1575,type,
    sK689: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1576,type,
    sK690: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1577,type,
    sK691: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1578,type,
    sK692: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1579,type,
    sK693: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1580,type,
    sK694: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1581,type,
    sK695: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1582,type,
    sK696: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1583,type,
    sK697: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1584,type,
    sK698: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1585,type,
    sK699: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1586,type,
    sK700: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1587,type,
    sK701: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1588,type,
    sK702: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1589,type,
    sK703: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1590,type,
    sK704: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1591,type,
    sK705: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1592,type,
    sK706: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1593,type,
    sK707: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1594,type,
    sK708: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1595,type,
    sK709: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1596,type,
    sK710: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1597,type,
    sK711: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1598,type,
    sK712: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1599,type,
    sK713: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1600,type,
    sK714: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_1601,type,
    sK715: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1602,type,
    sK716: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_1603,type,
    sK717: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1604,type,
    sK718: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1605,type,
    sK719: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1606,type,
    sK720: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1607,type,
    sK721: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1608,type,
    sK722: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1609,type,
    sK723: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1610,type,
    sK724: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1611,type,
    sK725: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1612,type,
    sK726: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1613,type,
    sK727: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1614,type,
    sK728: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1615,type,
    sK729: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1616,type,
    sK730: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1617,type,
    sK731: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_1618,type,
    sK732: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1619,type,
    sK733: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1620,type,
    sK734: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1621,type,
    sK735: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1622,type,
    sK736: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1623,type,
    sK737: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1624,type,
    sK738: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_1625,type,
    sK739: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1626,type,
    sK740: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1627,type,
    sK741: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1628,type,
    sK742: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1629,type,
    sK743: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1630,type,
    sK744: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1631,type,
    sK745: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_1632,type,
    sK746: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_1633,type,
    sK747: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1634,type,
    sK748: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1635,type,
    sK749: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_1636,type,
    sK750: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1637,type,
    sK751: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1638,type,
    sK752: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1639,type,
    sK753: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1640,type,
    sK754: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_1641,type,
    sK755: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1642,type,
    sK756: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1643,type,
    sK757: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1644,type,
    sK758: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_1645,type,
    sK759: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_1646,type,
    sK760: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1647,type,
    sK761: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1648,type,
    sK762: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1649,type,
    sK763: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_1650,type,
    sK764: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1651,type,
    sK765: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1652,type,
    sK766: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_1653,type,
    sK767: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_1654,type,
    sK768: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_1655,type,
    sK769: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1656,type,
    sK770: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1657,type,
    sK771: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1658,type,
    sK772: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1659,type,
    sK773: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1660,type,
    sK774: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1661,type,
    sK775: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1662,type,
    sK776: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1663,type,
    sK777: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1664,type,
    sK778: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_1665,type,
    sK779: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1666,type,
    sK780: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_1667,type,
    sK781: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1668,type,
    sK782: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1669,type,
    sK783: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1670,type,
    sK784: fun(nat,nat) > nat ).

tff(func_def_1671,type,
    sK785: fun(nat,nat) > nat ).

tff(func_def_1672,type,
    sK786: ( nat * nat ) > nat ).

tff(func_def_1673,type,
    sK787: ( nat * nat ) > nat ).

tff(func_def_1674,type,
    sK788: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1675,type,
    sK789: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1676,type,
    sK790: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1677,type,
    sK791: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1678,type,
    sK792: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1679,type,
    sK793: fun(nat,nat) > nat ).

tff(func_def_1680,type,
    sK794: fun(nat,nat) > nat ).

tff(func_def_1681,type,
    sK795: fun(nat,$o) > nat ).

tff(func_def_1682,type,
    sK796: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1683,type,
    sK797: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1684,type,
    sK798: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_1685,type,
    sK799: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1686,type,
    sK800: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_1687,type,
    sK801: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1688,type,
    sK802: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_1689,type,
    sK803: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_1690,type,
    sK804: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1691,type,
    sK805: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_1692,type,
    sK806: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1693,type,
    sK807: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_1694,type,
    sK808: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_1695,type,
    sK809: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1696,type,
    sK810: ( set(nat) * nat ) > nat ).

tff(func_def_1697,type,
    sK811: set(nat) > nat ).

tff(func_def_1698,type,
    sK812: ( set(nat) * nat ) > nat ).

tff(func_def_1699,type,
    sK813: ( set(nat) * nat ) > nat ).

tff(func_def_1700,type,
    sK814: set(nat) > nat ).

tff(func_def_1701,type,
    sK815: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1702,type,
    sK816: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_1703,type,
    sK817: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1704,type,
    sK818: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_1705,type,
    sK819: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1706,type,
    sK820: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1707,type,
    sK821: ( nat * nat ) > nat ).

tff(func_def_1708,type,
    sK822: fun(nat,$o) > nat ).

tff(func_def_1709,type,
    sK823: fun(nat,$o) > nat ).

tff(func_def_1710,type,
    sK824: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1711,type,
    sK825: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1712,type,
    sK826: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1713,type,
    sK827: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1714,type,
    sK828: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1715,type,
    sK829: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1716,type,
    sK830: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1717,type,
    sK831: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1718,type,
    sK832: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1719,type,
    sK833: ( nat * nat ) > nat ).

tff(func_def_1720,type,
    sK834: ( nat * nat ) > nat ).

tff(func_def_1721,type,
    sK835: ( nat * nat ) > nat ).

tff(func_def_1722,type,
    sK836: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1723,type,
    sK837: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1724,type,
    sK838: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1725,type,
    sK839: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1726,type,
    sK840: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1727,type,
    sK841: fun(nat,$o) > nat ).

tff(func_def_1728,type,
    sK842: fun(nat,$o) > nat ).

tff(func_def_1729,type,
    sK843: ( int * fun(int,$o) ) > int ).

tff(func_def_1730,type,
    sK844: fun(int,$o) > int ).

tff(func_def_1731,type,
    sK845: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1732,type,
    sK846: ( int * fun(int,$o) ) > int ).

tff(func_def_1733,type,
    sK847: ( int * fun(int,$o) ) > int ).

tff(func_def_1734,type,
    sK848: fun(int,$o) > int ).

tff(func_def_1735,type,
    sK849: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1736,type,
    sK850: ( int * fun(int,$o) ) > int ).

tff(func_def_1737,type,
    sK851: ( int * fun(int,$o) ) > int ).

tff(func_def_1738,type,
    sK852: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1739,type,
    sK853: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1740,type,
    sK854: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_1741,type,
    sK855: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1742,type,
    sK856: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_1743,type,
    sK857: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_ext(product_unit) ) ).

tff(func_def_1744,type,
    sK858: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_1745,type,
    sK859: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_1746,type,
    sK860: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > X0 ) ).

tff(func_def_1747,type,
    sK861: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > heap_ext(product_unit) ) ).

tff(func_def_1748,type,
    sK862: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_1749,type,
    sK863: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_1750,type,
    sK864: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_1751,type,
    sK865: product_prod(nat,nat) > nat ).

tff(func_def_1752,type,
    sK866: product_prod(nat,nat) > nat ).

tff(func_def_1753,type,
    sK867: rat > product_prod(int,int) ).

tff(func_def_1754,type,
    sK868: ( nat * nat ) > nat ).

tff(func_def_1755,type,
    sK869: ( nat * nat ) > nat ).

tff(func_def_1756,type,
    sK870: fun(nat,$o) > nat ).

tff(func_def_1757,type,
    sK871: nat > nat ).

tff(func_def_1758,type,
    sK872: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_1759,type,
    sK873: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_1760,type,
    sK874: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_1761,type,
    sK875: nat > nat ).

tff(func_def_1762,type,
    sK876: fun(nat,$o) > nat ).

tff(func_def_1763,type,
    sK877: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1764,type,
    sK878: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1765,type,
    sK879: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1766,type,
    sK880: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1767,type,
    sK881: fun(nat,$o) > nat ).

tff(func_def_1768,type,
    sK882: nat > nat ).

tff(func_def_1769,type,
    sK883: fun(nat,$o) > nat ).

tff(func_def_1770,type,
    sK884: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1771,type,
    sK885: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1772,type,
    sK886: nat > nat ).

tff(func_def_1773,type,
    sK887: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1774,type,
    sK888: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1775,type,
    sK889: nat > nat ).

tff(func_def_1776,type,
    sK890: ( nat * nat ) > nat ).

tff(func_def_1777,type,
    sK891: ( nat * nat ) > nat ).

tff(func_def_1778,type,
    sK892: nat > nat ).

tff(func_def_1779,type,
    sK893: ( nat * nat ) > nat ).

tff(func_def_1780,type,
    sK894: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1781,type,
    sK895: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1782,type,
    sK896: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1783,type,
    sK897: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1784,type,
    sK898: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1785,type,
    sK899: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1786,type,
    sK900: ( nat * nat ) > nat ).

tff(func_def_1787,type,
    sK901: fun(nat,$o) > nat ).

tff(func_def_1788,type,
    sK902: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1789,type,
    sK903: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1790,type,
    sK904: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1791,type,
    sK905: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1792,type,
    sK906: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1793,type,
    sK907: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1794,type,
    sK908: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1795,type,
    sK909: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1796,type,
    sK910: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1797,type,
    sK911: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1798,type,
    sK912: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1799,type,
    sK913: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1800,type,
    sK914: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1801,type,
    sK915: ( nat * nat ) > nat ).

tff(func_def_1802,type,
    sK916: ( nat * nat ) > nat ).

tff(func_def_1803,type,
    sK917: ( nat * nat ) > nat ).

tff(func_def_1804,type,
    sK918: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1805,type,
    sK919: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1806,type,
    sK920: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1807,type,
    sK921: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1808,type,
    sK922: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_1809,type,
    sK923: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_1810,type,
    sK924: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_1811,type,
    sK925: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1812,type,
    sK926: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1813,type,
    sK927: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1814,type,
    sK928: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1815,type,
    sK929: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1816,type,
    sK930: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1817,type,
    sK931: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1818,type,
    sK932: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1819,type,
    sK933: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1820,type,
    sK934: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1821,type,
    sK935: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1822,type,
    sK936: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1823,type,
    sK937: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1824,type,
    sK938: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1825,type,
    sK939: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1826,type,
    sK940: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1827,type,
    sK941: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1828,type,
    sK942: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1829,type,
    sK943: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1830,type,
    sK944: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1831,type,
    sK945: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1832,type,
    sK946: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1833,type,
    sK947: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1834,type,
    sK948: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1835,type,
    sK949: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1836,type,
    sK950: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1837,type,
    sK951: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1838,type,
    sK952: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1839,type,
    sK953: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1840,type,
    sK954: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1841,type,
    sK955: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1842,type,
    sK956: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1843,type,
    sK957: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1844,type,
    sK958: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1845,type,
    sK959: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_1846,type,
    sK960: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_1847,type,
    sK961: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_1848,type,
    sK962: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_1849,type,
    sK963: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1850,type,
    sK964: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1851,type,
    sK965: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1852,type,
    sK966: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1853,type,
    sK967: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1854,type,
    sK968: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1855,type,
    sK969: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1856,type,
    sK970: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1857,type,
    sK971: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1858,type,
    sK972: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1859,type,
    sK973: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1860,type,
    sK974: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1861,type,
    sK975: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1862,type,
    sK976: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1863,type,
    sK977: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1864,type,
    sK978: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1865,type,
    sK979: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1866,type,
    sK980: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1867,type,
    sK981: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1868,type,
    sK982: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1869,type,
    sK983: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_1870,type,
    sK984: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1871,type,
    sK985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1872,type,
    sK986: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1873,type,
    sK987: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1874,type,
    sK988: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1875,type,
    sK989: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1876,type,
    sK990: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1877,type,
    sK991: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1878,type,
    sK992: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1879,type,
    sK993: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1880,type,
    sK994: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1881,type,
    sK995: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1882,type,
    sK996: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1883,type,
    sK997: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1884,type,
    sK998: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1885,type,
    sK999: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1886,type,
    sK1000: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1887,type,
    sK1001: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1888,type,
    sK1002: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1889,type,
    sK1003: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1890,type,
    sK1004: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1891,type,
    sK1005: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1892,type,
    sK1006: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1893,type,
    sK1007: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1894,type,
    sK1008: ( int * set(int) * int ) > int ).

tff(func_def_1895,type,
    sK1009: ( int * set(int) * int ) > int ).

tff(func_def_1896,type,
    sK1010: ( int * set(int) * int ) > int ).

tff(func_def_1897,type,
    sK1011: ( int * set(int) * int ) > int ).

tff(func_def_1898,type,
    sK1012: ( int * set(int) * int ) > int ).

tff(func_def_1899,type,
    sK1013: ( int * set(int) * int ) > int ).

tff(func_def_1900,type,
    sK1014: ( int * set(int) * int ) > int ).

tff(func_def_1901,type,
    sK1015: ( int * set(int) * int ) > int ).

tff(func_def_1902,type,
    sK1016: ( int * set(int) * int ) > int ).

tff(func_def_1903,type,
    sK1017: ( int * set(int) * int ) > int ).

tff(func_def_1904,type,
    sK1018: ( int * set(int) * int ) > int ).

tff(func_def_1905,type,
    sK1019: ( int * set(int) * int ) > int ).

tff(func_def_1906,type,
    sK1020: ( int * set(int) * int ) > int ).

tff(func_def_1907,type,
    sK1021: ( int * set(int) * int ) > int ).

tff(func_def_1908,type,
    sK1022: ( int * set(int) * int ) > int ).

tff(func_def_1909,type,
    sK1023: ( int * set(int) * int ) > int ).

tff(func_def_1910,type,
    sK1024: ( int * set(int) * int ) > int ).

tff(func_def_1911,type,
    sK1025: ( int * set(int) * int ) > int ).

tff(func_def_1912,type,
    sK1026: fun(int,$o) > int ).

tff(func_def_1913,type,
    sK1027: ( int * fun(int,$o) ) > int ).

tff(func_def_1914,type,
    sK1028: ( int * fun(int,$o) ) > int ).

tff(func_def_1915,type,
    sK1029: ( int * fun(int,$o) ) > int ).

tff(func_def_1916,type,
    sK1030: ( int * set(int) * int ) > int ).

tff(func_def_1917,type,
    sK1031: ( int * set(int) * int ) > int ).

tff(func_def_1918,type,
    sK1032: ( int * set(int) * int ) > int ).

tff(func_def_1919,type,
    sK1033: ( int * set(int) * int ) > int ).

tff(func_def_1920,type,
    sK1034: ( int * set(int) * int ) > int ).

tff(func_def_1921,type,
    sK1035: ( int * set(int) * int ) > int ).

tff(func_def_1922,type,
    sK1036: ( int * set(int) * int ) > int ).

tff(func_def_1923,type,
    sK1037: ( int * set(int) * int ) > int ).

tff(func_def_1924,type,
    sK1038: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1925,type,
    sK1039: ( int * set(int) * int ) > int ).

tff(func_def_1926,type,
    sK1040: ( int * set(int) * int ) > int ).

tff(func_def_1927,type,
    sK1041: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1928,type,
    sK1042: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1929,type,
    sK1043: ( int * set(int) * int ) > int ).

tff(func_def_1930,type,
    sK1044: ( int * set(int) * int ) > int ).

tff(func_def_1931,type,
    sK1045: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1932,type,
    sK1046: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1933,type,
    sK1047: ( int * set(int) * int ) > int ).

tff(func_def_1934,type,
    sK1048: ( int * set(int) * int ) > int ).

tff(func_def_1935,type,
    sK1049: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1936,type,
    sK1050: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1937,type,
    sK1051: ( int * set(int) * int ) > int ).

tff(func_def_1938,type,
    sK1052: ( int * set(int) * int ) > int ).

tff(func_def_1939,type,
    sK1053: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1940,type,
    sK1054: ( int * set(int) * int ) > int ).

tff(func_def_1941,type,
    sK1055: ( int * set(int) * int ) > int ).

tff(func_def_1942,type,
    sK1056: ( int * set(int) * int ) > int ).

tff(func_def_1943,type,
    sK1057: ( int * set(int) * int ) > int ).

tff(func_def_1944,type,
    sK1058: ( int * set(int) * int ) > int ).

tff(func_def_1945,type,
    sK1059: ( int * set(int) * int ) > int ).

tff(func_def_1946,type,
    sK1060: fun(int,$o) > int ).

tff(func_def_1947,type,
    sK1061: ( int * fun(int,$o) ) > int ).

tff(func_def_1948,type,
    sK1062: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1949,type,
    sK1063: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1950,type,
    sK1064: ( int * fun(int,$o) ) > int ).

tff(func_def_1951,type,
    sK1065: ( int * fun(int,$o) ) > int ).

tff(func_def_1952,type,
    sK1066: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1953,type,
    sK1067: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1954,type,
    sK1068: fun(int,$o) > int ).

tff(func_def_1955,type,
    sK1069: ( int * fun(int,$o) ) > int ).

tff(func_def_1956,type,
    sK1070: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1957,type,
    sK1071: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1958,type,
    sK1072: ( int * fun(int,$o) ) > int ).

tff(func_def_1959,type,
    sK1073: ( int * fun(int,$o) ) > int ).

tff(func_def_1960,type,
    sK1074: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1961,type,
    sK1075: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1962,type,
    sK1076: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X0 ) ).

tff(func_def_1963,type,
    sK1077: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1964,type,
    sK1078: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1965,type,
    sK1079: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1966,type,
    sK1080: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_1967,type,
    sK1081: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_1968,type,
    sK1082: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1969,type,
    sK1083: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1970,type,
    sK1084: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_1971,type,
    sK1085: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_1972,type,
    sK1086: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1973,type,
    sK1087: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1974,type,
    sK1088: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1975,type,
    sK1089: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1976,type,
    sK1090: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1977,type,
    sK1091: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1978,type,
    sK1092: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1979,type,
    sK1093: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1980,type,
    sK1094: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1981,type,
    sK1095: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_1982,type,
    sK1096: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1983,type,
    sK1097: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_1984,type,
    sK1098: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1985,type,
    sK1099: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1986,type,
    sK1100: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1987,type,
    sK1101: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_1988,type,
    sK1102: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_1989,type,
    sK1103: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1990,type,
    sK1104: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1991,type,
    sK1105: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1992,type,
    sK1106: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1993,type,
    sK1107: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1994,type,
    sK1108: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1995,type,
    sK1109: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1996,type,
    sK1110: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1997,type,
    sK1111: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1998,type,
    sK1112: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1999,type,
    sK1113: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2000,type,
    sK1114: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2001,type,
    sK1115: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2002,type,
    sK1116: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2003,type,
    sK1117: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2004,type,
    sK1118: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2005,type,
    sK1119: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2006,type,
    sK1120: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2007,type,
    sK1121: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_2008,type,
    sK1122: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_2009,type,
    sK1123: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2010,type,
    sK1124: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_2011,type,
    sK1125: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2012,type,
    sK1126: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2013,type,
    sK1127: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2014,type,
    sK1128: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2015,type,
    sK1129: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2016,type,
    sK1130: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2017,type,
    sK1131: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2018,type,
    sK1132: ( int * int ) > nat ).

tff(func_def_2019,type,
    sK1133: ( int * int ) > nat ).

tff(func_def_2020,type,
    sK1134: int > nat ).

tff(func_def_2021,type,
    sK1135: int > nat ).

tff(func_def_2022,type,
    sK1136: int > nat ).

tff(func_def_2023,type,
    sK1137: int > nat ).

tff(func_def_2024,type,
    sK1138: int > nat ).

tff(func_def_2025,type,
    sK1139: int > nat ).

tff(func_def_2026,type,
    sK1140: int > nat ).

tff(func_def_2027,type,
    sK1141: fun(int,$o) > nat ).

tff(func_def_2028,type,
    sK1142: fun(int,$o) > nat ).

tff(func_def_2029,type,
    sK1143: int > nat ).

tff(func_def_2030,type,
    sK1144: int > nat ).

tff(func_def_2031,type,
    sK1145: int > nat ).

tff(func_def_2032,type,
    sK1146: int > nat ).

tff(func_def_2033,type,
    sK1147: int > nat ).

tff(func_def_2034,type,
    sK1148: int > nat ).

tff(func_def_2035,type,
    sK1149: int > nat ).

tff(func_def_2036,type,
    sK1150: int > nat ).

tff(func_def_2037,type,
    sK1151: int > nat ).

tff(func_def_2038,type,
    sK1152: int > nat ).

tff(func_def_2039,type,
    sK1153: ( fun(nat,$o) * int ) > nat ).

tff(func_def_2040,type,
    sK1154: fun(nat,$o) > int ).

tff(func_def_2041,type,
    sK1155: fun(nat,$o) > nat ).

tff(func_def_2042,type,
    sK1156: fun(nat,$o) > nat ).

tff(func_def_2043,type,
    sK1157: fun(nat,$o) > int ).

tff(func_def_2044,type,
    sK1158: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2045,type,
    sK1159: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2046,type,
    sK1160: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2047,type,
    sK1161: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2048,type,
    sK1162: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2049,type,
    sK1163: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2050,type,
    sK1164: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2051,type,
    sK1165: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2052,type,
    sK1166: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2053,type,
    sK1167: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2054,type,
    sK1168: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2055,type,
    sK1169: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_2056,type,
    sK1170: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_2057,type,
    sK1171: list(nat) > nat ).

tff(func_def_2058,type,
    sK1172: list(nat) > list(nat) ).

tff(func_def_2059,type,
    sK1173: num > num ).

tff(func_def_2060,type,
    sK1174: num > num ).

tff(func_def_2061,type,
    sK1175: rat > int ).

tff(func_def_2062,type,
    sK1176: rat > int ).

tff(func_def_2063,type,
    sK1177: fun(rat,$o) > int ).

tff(func_def_2064,type,
    sK1178: fun(rat,$o) > int ).

tff(func_def_2065,type,
    sK1179: rat > int ).

tff(func_def_2066,type,
    sK1180: rat > int ).

tff(func_def_2067,type,
    sK1181: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2068,type,
    sK1182: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2069,type,
    sK1183: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2070,type,
    sK1184: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2071,type,
    sK1185: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2072,type,
    sK1186: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2073,type,
    sK1187: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2074,type,
    sK1188: fun(rat,$o) > int ).

tff(func_def_2075,type,
    sK1189: fun(rat,$o) > int ).

tff(func_def_2076,type,
    sK1190: ( nat * nat ) > nat ).

tff(func_def_2077,type,
    sK1191: ( nat * nat ) > nat ).

tff(func_def_2078,type,
    sK1192: ( nat * nat ) > nat ).

tff(func_def_2079,type,
    sK1193: ( nat * nat ) > nat ).

tff(func_def_2080,type,
    sK1194: ( nat * nat ) > nat ).

tff(func_def_2081,type,
    sK1195: ( nat * nat ) > nat ).

tff(func_def_2082,type,
    sK1196: ( nat * nat * nat ) > nat ).

tff(func_def_2083,type,
    sK1197: ( nat * nat * nat ) > nat ).

tff(func_def_2084,type,
    sK1198: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2085,type,
    sK1199: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2086,type,
    sK1200: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2087,type,
    sK1201: nat > code_natural ).

tff(func_def_2088,type,
    sK1202: fun(nat,$o) > code_natural ).

tff(func_def_2089,type,
    sK1203: fun(int,$o) > code_integer ).

tff(func_def_2090,type,
    sK1204: int > code_integer ).

tff(func_def_2091,type,
    sK1205: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2092,type,
    sK1206: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2093,type,
    sK1207: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_2094,type,
    sK1208: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2095,type,
    sK1209: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2096,type,
    sK1210: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_2097,type,
    sK1211: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2098,type,
    sK1212: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2099,type,
    sK1213: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X1 ) ).

tff(func_def_2100,type,
    sK1214: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2101,type,
    sK1215: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2102,type,
    sK1216: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2103,type,
    sK1217: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_2104,type,
    sK1218: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_2105,type,
    sK1219: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2106,type,
    sK1220: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2107,type,
    sK1221: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2108,type,
    sK1222: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2109,type,
    sK1223: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2110,type,
    sK1224: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2111,type,
    sK1225: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2112,type,
    sK1226: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2113,type,
    sK1227: ( nat * nat * nat ) > nat ).

tff(func_def_2114,type,
    sK1228: ( nat * nat * nat ) > nat ).

tff(func_def_2115,type,
    sK1229: ( nat * nat * nat ) > nat ).

tff(func_def_2116,type,
    sK1230: ( nat * nat * nat ) > nat ).

tff(func_def_2117,type,
    sK1231: ( nat * nat * nat ) > nat ).

tff(func_def_2118,type,
    sK1232: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2119,type,
    sK1233: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2120,type,
    sK1234: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2121,type,
    sK1235: ( nat * nat ) > nat ).

tff(func_def_2122,type,
    sK1236: ( int * int ) > int ).

tff(func_def_2123,type,
    sK1237: ( int * int ) > int ).

tff(func_def_2124,type,
    sK1238: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2125,type,
    sK1239: 
      !>[X0: $tType] : X0 ).

tff(func_def_2126,type,
    sK1240: 
      !>[X0: $tType] : X0 ).

tff(func_def_2127,type,
    sK1241: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2128,type,
    sK1242: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2129,type,
    sK1243: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2130,type,
    sK1244: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2131,type,
    sK1245: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2132,type,
    sK1246: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2133,type,
    sK1247: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2134,type,
    sK1248: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2135,type,
    sK1249: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2136,type,
    sK1250: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2137,type,
    sK1251: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2138,type,
    sK1252: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2139,type,
    sK1253: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2140,type,
    sK1254: 
      !>[X0: $tType] : X0 ).

tff(func_def_2141,type,
    sK1255: 
      !>[X0: $tType] : X0 ).

tff(func_def_2142,type,
    sK1256: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2143,type,
    sK1257: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2144,type,
    sK1258: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2145,type,
    sK1259: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2146,type,
    sK1260: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2147,type,
    sK1261: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2148,type,
    sK1262: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2149,type,
    sK1263: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2150,type,
    sK1264: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2151,type,
    sK1265: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2152,type,
    sK1266: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2153,type,
    sK1267: ( int * int * int ) > int ).

tff(func_def_2154,type,
    sK1268: ( int * int ) > int ).

tff(func_def_2155,type,
    sK1269: ( int * int ) > int ).

tff(func_def_2156,type,
    sK1270: ( nat * nat ) > nat ).

tff(func_def_2157,type,
    sK1271: ( nat * nat ) > nat ).

tff(func_def_2158,type,
    sK1272: ( nat * nat ) > nat ).

tff(func_def_2159,type,
    sK1273: ( nat * nat ) > nat ).

tff(func_def_2160,type,
    sK1274: int > nat ).

tff(func_def_2161,type,
    sK1275: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2162,type,
    sK1276: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2163,type,
    sK1277: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2164,type,
    sK1278: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2165,type,
    sK1279: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2166,type,
    sK1280: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2167,type,
    sK1281: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2168,type,
    sK1282: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2169,type,
    sK1283: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2170,type,
    sK1284: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2171,type,
    sK1285: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2172,type,
    sK1286: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2173,type,
    sK1287: ( int * int * int ) > int ).

tff(func_def_2174,type,
    sK1288: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2175,type,
    sK1289: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2176,type,
    sK1290: int > nat ).

tff(func_def_2177,type,
    sK1291: int > int ).

tff(func_def_2178,type,
    sK1292: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2179,type,
    sK1293: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2180,type,
    sK1294: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2181,type,
    sK1295: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_2182,type,
    sK1296: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2183,type,
    sK1297: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2184,type,
    sK1298: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2185,type,
    sK1299: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2186,type,
    sK1300: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2187,type,
    sK1301: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2188,type,
    sK1302: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_2189,type,
    sK1303: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_2190,type,
    sK1304: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_2191,type,
    sK1305: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2192,type,
    sK1306: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2193,type,
    sK1307: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2194,type,
    sK1308: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2195,type,
    sK1309: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2196,type,
    sK1310: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2197,type,
    sK1311: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2198,type,
    sK1312: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2199,type,
    sK1313: 
      !>[X0: $tType] : X0 ).

tff(func_def_2200,type,
    sK1314: 
      !>[X0: $tType] : X0 ).

tff(func_def_2201,type,
    sK1315: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2202,type,
    sK1316: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2203,type,
    sK1317: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2204,type,
    sK1318: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2205,type,
    sK1319: 
      !>[X0: $tType] : X0 ).

tff(func_def_2206,type,
    sK1320: 
      !>[X0: $tType] : X0 ).

tff(func_def_2207,type,
    sK1321: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2208,type,
    sK1322: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2209,type,
    sK1323: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2210,type,
    sK1324: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2211,type,
    sK1325: 
      !>[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_2212,type,
    sK1326: 
      !>[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_2213,type,
    sK1327: 
      !>[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_2214,type,
    sK1328: 
      !>[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_2215,type,
    sK1329: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2216,type,
    sK1330: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2217,type,
    sK1331: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2218,type,
    sK1332: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2219,type,
    sK1333: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2220,type,
    sK1334: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2221,type,
    sK1335: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2222,type,
    sK1336: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_2223,type,
    sK1337: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2224,type,
    sK1338: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2225,type,
    sK1339: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2226,type,
    sK1340: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2227,type,
    sK1341: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2228,type,
    sK1342: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2229,type,
    sK1343: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2230,type,
    sK1344: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2231,type,
    sK1345: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2232,type,
    sK1346: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2233,type,
    sK1347: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2234,type,
    sK1348: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2235,type,
    sK1349: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2236,type,
    sK1350: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2237,type,
    sK1351: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2238,type,
    sK1352: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2239,type,
    sK1353: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2240,type,
    sK1354: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2241,type,
    sK1355: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2242,type,
    sK1356: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_2243,type,
    sK1357: fun(code_natural,$o) > nat ).

tff(func_def_2244,type,
    sK1358: code_natural > nat ).

tff(func_def_2245,type,
    sK1359: fun(code_integer,$o) > int ).

tff(func_def_2246,type,
    sK1360: code_integer > int ).

tff(func_def_2247,type,
    sK1361: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2248,type,
    sK1362: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2249,type,
    sK1363: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2250,type,
    sK1364: 
      !>[X0: $tType] : ( fun(X0,$o) > int ) ).

tff(func_def_2251,type,
    sK1365: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2252,type,
    sK1366: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2253,type,
    sK1367: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2254,type,
    sK1368: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2255,type,
    sK1369: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2256,type,
    sK1370: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2257,type,
    sK1371: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2258,type,
    sK1372: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2259,type,
    sK1373: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_2260,type,
    sK1374: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2261,type,
    sK1375: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2262,type,
    sK1376: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_2263,type,
    sK1377: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_2264,type,
    sK1378: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2265,type,
    sK1379: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2266,type,
    sK1380: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2267,type,
    sK1381: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2268,type,
    sK1382: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2269,type,
    sK1383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2270,type,
    sK1384: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2271,type,
    sK1385: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2272,type,
    sK1386: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2273,type,
    sK1387: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_2274,type,
    sK1388: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2275,type,
    sK1389: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2276,type,
    sK1390: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2277,type,
    sK1391: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2278,type,
    sK1392: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2279,type,
    sK1393: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2280,type,
    sK1394: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2281,type,
    sK1395: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2282,type,
    sK1396: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2283,type,
    sK1397: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2284,type,
    sK1398: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2285,type,
    sK1399: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2286,type,
    sK1400: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2287,type,
    sK1401: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2288,type,
    sK1402: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2289,type,
    sK1403: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2290,type,
    sK1404: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2291,type,
    sK1405: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2292,type,
    sK1406: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2293,type,
    sK1407: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2294,type,
    sK1408: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2295,type,
    sK1409: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2296,type,
    sK1410: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2297,type,
    sK1411: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2298,type,
    sK1412: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2299,type,
    sK1413: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2300,type,
    sK1414: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2301,type,
    sK1415: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2302,type,
    sK1416: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2303,type,
    sK1417: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2304,type,
    sK1418: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2305,type,
    sK1419: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2306,type,
    sK1420: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2307,type,
    sK1421: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2308,type,
    sK1422: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2309,type,
    sK1423: 
      !>[X0: $tType] : X0 ).

tff(func_def_2310,type,
    sK1424: 
      !>[X0: $tType] : X0 ).

tff(func_def_2311,type,
    sK1425: 
      !>[X0: $tType] : X0 ).

tff(func_def_2312,type,
    sK1426: 
      !>[X0: $tType] : X0 ).

tff(func_def_2313,type,
    sK1427: 
      !>[X0: $tType] : X0 ).

tff(func_def_2314,type,
    sK1428: 
      !>[X0: $tType] : X0 ).

tff(func_def_2315,type,
    sK1429: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2316,type,
    sK1430: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2317,type,
    sK1431: fun(num,$o) > num ).

tff(func_def_2318,type,
    sK1432: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2319,type,
    sK1433: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2320,type,
    sK1434: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2321,type,
    sK1435: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2322,type,
    sK1436: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2323,type,
    sK1437: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2324,type,
    sK1438: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2325,type,
    sK1439: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2326,type,
    sK1440: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2327,type,
    sK1441: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2328,type,
    sK1442: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2329,type,
    sK1443: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2330,type,
    sK1444: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2331,type,
    sK1445: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2332,type,
    sK1446: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2333,type,
    sK1447: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2334,type,
    sK1448: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2335,type,
    sK1449: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2336,type,
    sK1450: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2337,type,
    sK1451: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2338,type,
    sK1452: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2339,type,
    sK1453: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2340,type,
    sK1454: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2341,type,
    sK1455: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2342,type,
    sK1456: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2343,type,
    sK1457: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2344,type,
    sK1458: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2345,type,
    sK1459: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2346,type,
    sK1460: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2347,type,
    sK1461: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2348,type,
    sK1462: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2349,type,
    sK1463: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2350,type,
    sK1464: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2351,type,
    sK1465: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2352,type,
    sK1466: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2353,type,
    sK1467: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2354,type,
    sK1468: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2355,type,
    sK1469: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2356,type,
    sK1470: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * heap_Time_Heap(X0) * heap_Time_Heap(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2357,type,
    sK1471: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * heap_Time_Heap(X0) * heap_Time_Heap(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2358,type,
    sK1472: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2359,type,
    sK1473: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2360,type,
    sK1474: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2361,type,
    sK1475: 
      !>[X0: $tType] : ( ( fun(X0,$o) * heap_Time_Heap(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2362,type,
    sK1476: 
      !>[X0: $tType] : ( ( fun(X0,$o) * heap_Time_Heap(X0) ) > X0 ) ).

tff(func_def_2363,type,
    sK1477: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2364,type,
    sK1478: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2365,type,
    sK1479: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2366,type,
    sK1480: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(pred_def_1,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    heap: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    minus: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    semidom: 
      !>[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,
    typerep2: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    countable: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    normal8620421768224518004emidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    bounded_lattice_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    semido2269285787275462019factor: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    euclid5891614535332579305n_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    comple489889107523837845lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    normal6328177297339901930cative: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    array_noteq: 
      !>[X0: $tType,X1: $tType] : ( ( array(X0) * array(X1) ) > $o ) ).

tff(pred_def_154,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_155,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_156,type,
    bNF_Wellorder_embedS: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_157,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_158,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_159,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_160,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_161,type,
    boolea6902313364301356556axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_162,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_163,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_164,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_165,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_166,type,
    comple7038119648293358887notone: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,fun(X1,$o)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_167,type,
    condit622319405099724424ng_bdd: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_168,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_169,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_170,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_171,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_172,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_173,type,
    fun_is_measure: 
      !>[X0: $tType] : ( fun(X0,nat) > $o ) ).

tff(pred_def_174,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_175,type,
    bounde8507323023520639062attice: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_176,type,
    bounde6485984586167503788ce_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_177,type,
    abel_semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_178,type,
    abel_s757365448890700780axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_179,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_180,type,
    comm_monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_181,type,
    group: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_182,type,
    group_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_183,type,
    monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_184,type,
    monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_185,type,
    semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_186,type,
    groups778175481326437816id_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_187,type,
    groups1828464146339083142d_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_188,type,
    groups4802862169904069756st_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_189,type,
    groups_monoid_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_190,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_191,type,
    uniq: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_192,type,
    heap_Time_effect: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) * heap_ext(product_unit) * X0 * nat ) > $o ) ).

tff(pred_def_193,type,
    heap_Time_success: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > $o ) ).

tff(pred_def_194,type,
    hilbert_bijection: 
      !>[X0: $tType] : ( fun(X0,X0) > $o ) ).

tff(pred_def_195,type,
    semilattice: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_196,type,
    semilattice_axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_197,type,
    semilattice_neutr: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_198,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_199,type,
    semilattice_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_200,type,
    semila6385135966242565138axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_201,type,
    lattic5652469242046573047tr_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_202,type,
    lattic3600114342068043075tr_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_203,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_204,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_205,type,
    quotient: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,X1) * fun(X1,X0) * fun(X0,fun(X1,$o)) ) > $o ) ).

tff(pred_def_206,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_207,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_208,type,
    list_all: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > $o ) ).

tff(pred_def_209,type,
    list_ex: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > $o ) ).

tff(pred_def_210,type,
    ord_lexordp_eq: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_211,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_212,type,
    neg_numeral_is_num: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_213,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_214,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_215,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_216,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_217,type,
    ordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_218,type,
    ordering_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_219,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_220,type,
    ordering_top_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_221,type,
    partial_preordering: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_222,type,
    preordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_223,type,
    preordering_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_224,type,
    partia7178651479351089652itions: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(set(X0),X0) ) > $o ) ).

tff(pred_def_225,type,
    quotient3: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_226,type,
    powp: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > $o ) ).

tff(pred_def_227,type,
    irreflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_228,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_229,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_230,type,
    disjnt: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > $o ) ).

tff(pred_def_231,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_232,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_233,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_234,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_235,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_236,type,
    chain_subset: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

tff(pred_def_237,type,
    pred_maxchain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_238,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_240,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_241,type,
    iG45: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_242,type,
    iG46: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_243,type,
    iG52: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_244,type,
    iG53: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_245,type,
    iG56: ( int * nat ) > $o ).

tff(pred_def_246,type,
    iG57: ( int * nat ) > $o ).

tff(pred_def_247,type,
    iG146: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_248,type,
    iG147: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_249,type,
    iG148: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_250,type,
    iG149: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_251,type,
    iG150: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_252,type,
    iG151: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_253,type,
    iG156: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_254,type,
    iG157: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_255,type,
    iG264: ( int * int * int ) > $o ).

tff(pred_def_256,type,
    iG265: ( int * int * int ) > $o ).

tff(pred_def_257,type,
    iG309: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_258,type,
    sP538: fun(int,$o) > $o ).

tff(pred_def_259,type,
    sP539: ( fun(int,$o) * int ) > $o ).

tff(pred_def_260,type,
    sP540: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_261,type,
    sP541: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_262,type,
    sP542: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_263,type,
    sP543: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_264,type,
    sP544: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_265,type,
    sP545: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_266,type,
    sP546: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_267,type,
    sP547: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_268,type,
    sP548: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_269,type,
    sP549: ( fun(nat,$o) * nat * nat ) > $o ).

tff(pred_def_270,type,
    sP550: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_271,type,
    sP551: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_272,type,
    sP552: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_273,type,
    sP553: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_274,type,
    sP554: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_275,type,
    sP555: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_276,type,
    sP556: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_277,type,
    sP557: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_278,type,
    sP558: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_279,type,
    sP559: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_280,type,
    sP560: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_281,type,
    sP561: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_282,type,
    sP562: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_283,type,
    sP563: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_284,type,
    sP564: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_285,type,
    sP565: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_286,type,
    sP566: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_287,type,
    sP567: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_288,type,
    sP568: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_289,type,
    sP569: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_290,type,
    sP570: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_291,type,
    sP571: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_292,type,
    sP572: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_293,type,
    sP573: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_294,type,
    sP574: ( nat * fun(nat,$o) * nat ) > $o ).

tff(pred_def_295,type,
    sP575: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_296,type,
    sP576: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_297,type,
    sP577: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_298,type,
    sP578: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_299,type,
    sP579: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_300,type,
    sP580: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_301,type,
    sP581: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_302,type,
    sP582: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_303,type,
    sP583: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_304,type,
    sP584: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_305,type,
    sP585: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(f1,axiom,
    heap_Time_effect(nat,array_len(a,a2),h,h2,r,n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).

tff(f2,axiom,
    ( ( r = aa(array(a),nat,array_length(a,h2),a2) )
   => ( ( h2 = h )
     => ( ( n = one_one(nat) )
       => thesis ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_that) ).

tff(f3,axiom,
    ! [X0: $tType] :
      ( heap(X0)
     => ! [X1: heap_ext(product_unit),X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
          ( ( X1 = X2 )
         => ( ( X3 = aa(array(X0),nat,array_length(X0,X2),X4) )
           => ( ( X5 = one_one(nat) )
             => heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_effect__lengthI) ).

tff(f21,axiom,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( heap_Time_effect(X0,X1,X2,X3,X4,X5)
     => ( heap_Time_effect(X0,X1,X2,X6,X7,X8)
       => ( X5 = X8 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_effect__deterministic_I3_J) ).

tff(f22,axiom,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( heap_Time_effect(X0,X1,X2,X3,X4,X5)
     => ( heap_Time_effect(X0,X1,X2,X6,X7,X8)
       => ( X3 = X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_effect__deterministic_I2_J) ).

tff(f23,axiom,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( heap_Time_effect(X0,X1,X2,X3,X4,X5)
     => ( heap_Time_effect(X0,X1,X2,X6,X7,X8)
       => ( X4 = X7 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_effect__deterministic_I1_J) ).

tff(f8362,axiom,
    heap(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).

tff(f8364,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f8365,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f8364]) ).

tff(f16750,plain,
    ~ thesis,
    inference(flattening,[],[f8365]) ).

tff(f17000,plain,
    ( thesis
    | ( n != one_one(nat) )
    | ( h != h2 )
    | ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f17001,plain,
    ( thesis
    | ( n != one_one(nat) )
    | ( h != h2 )
    | ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
    inference(flattening,[],[f17000]) ).

tff(f17051,plain,
    ! [X0: $tType] :
      ( ! [X1: heap_ext(product_unit),X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
          ( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5)
          | ( one_one(nat) != X5 )
          | ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
          | ( X1 != X2 ) )
      | ~ heap(X0) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f17052,plain,
    ! [X0: $tType] :
      ( ! [X1: heap_ext(product_unit),X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
          ( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5)
          | ( one_one(nat) != X5 )
          | ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
          | ( X1 != X2 ) )
      | ~ heap(X0) ),
    inference(flattening,[],[f17051]) ).

tff(f17082,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( ( X4 = X7 )
      | ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f23]) ).

tff(f17083,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( ( X4 = X7 )
      | ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(flattening,[],[f17082]) ).

tff(f17084,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( ( X3 = X6 )
      | ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f17085,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( ( X3 = X6 )
      | ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(flattening,[],[f17084]) ).

tff(f17086,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( ( X5 = X8 )
      | ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f17087,plain,
    ! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
      ( ( X5 = X8 )
      | ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(flattening,[],[f17086]) ).

tff(f23446,plain,
    heap(a),
    inference(cnf_transformation,[],[f8362]) ).

tff(f23447,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f16750]) ).

tff(f23457,plain,
    ( ( r != aa(array(a),nat,array_length(a,h2),a2) )
    | ( n != one_one(nat) )
    | ( h != h2 )
    | thesis ),
    inference(cnf_transformation,[],[f17001]) ).

tff(f23458,plain,
    heap_Time_effect(nat,array_len(a,a2),h,h2,r,n),
    inference(cnf_transformation,[],[f1]) ).

tff(f23560,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: nat,X1: heap_ext(product_unit),X4: array(X0),X5: nat] :
      ( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5)
      | ( one_one(nat) != X5 )
      | ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
      | ( X1 != X2 )
      | ~ heap(X0) ),
    inference(cnf_transformation,[],[f17052]) ).

tff(f23627,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: heap_ext(product_unit),X1: heap_Time_Heap(X0),X8: nat,X6: heap_ext(product_unit),X7: X0,X4: X0,X5: nat] :
      ( ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ( X4 = X7 )
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f17083]) ).

tff(f23628,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: heap_ext(product_unit),X1: heap_Time_Heap(X0),X8: nat,X6: heap_ext(product_unit),X7: X0,X4: X0,X5: nat] :
      ( ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ( X3 = X6 )
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f17085]) ).

tff(f23629,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: heap_ext(product_unit),X1: heap_Time_Heap(X0),X8: nat,X6: heap_ext(product_unit),X7: X0,X4: X0,X5: nat] :
      ( ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
      | ( X5 = X8 )
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f17087]) ).

tff(f31362,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: nat,X1: heap_ext(product_unit),X4: array(X0)] :
      ( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,one_one(nat))
      | ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
      | ( X1 != X2 )
      | ~ heap(X0) ),
    inference(equality_resolution,[],[f23560]) ).

tff(f31363,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X1: heap_ext(product_unit),X4: array(X0)] :
      ( heap_Time_effect(nat,array_len(X0,X4),X2,X1,aa(array(X0),nat,array_length(X0,X2),X4),one_one(nat))
      | ( X1 != X2 )
      | ~ heap(X0) ),
    inference(equality_resolution,[],[f31362]) ).

tff(f31364,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X4: array(X0)] :
      ( heap_Time_effect(nat,array_len(X0,X4),X2,X2,aa(array(X0),nat,array_length(X0,X2),X4),one_one(nat))
      | ~ heap(X0) ),
    inference(equality_resolution,[],[f31363]) ).

tff(f32200,plain,
    ! [X0: array(a),X1: heap_ext(product_unit)] : heap_Time_effect(nat,array_len(a,X0),X1,X1,aa(array(a),nat,array_length(a,X1),X0),one_one(nat)),
    inference(unit_resulting_resolution,[],[f31364,f23446]) ).

tff(f61661,plain,
    r = aa(array(a),nat,array_length(a,h),a2),
    inference(unit_resulting_resolution,[],[f23627,f23458,f32200]) ).

tff(f61667,plain,
    h = h2,
    inference(unit_resulting_resolution,[],[f23628,f23458,f32200]) ).

tff(f61672,plain,
    n = one_one(nat),
    inference(unit_resulting_resolution,[],[f23629,f23458,f32200]) ).

tff(f110940,plain,
    ( ( r != aa(array(a),nat,array_length(a,h),a2) )
    | ( n != one_one(nat) )
    | ( h != h )
    | thesis ),
    inference(superposition,[],[f23457,f61667]) ).

tff(f110941,plain,
    ( ( r != aa(array(a),nat,array_length(a,h),a2) )
    | ( n != one_one(nat) )
    | thesis ),
    inference(trivial_inequality_removal,[],[f110940]) ).

tff(f110942,plain,
    ( ( n != one_one(nat) )
    | thesis ),
    inference(forward_subsumption_resolution,[],[f110941,f61661]) ).

tff(f110943,plain,
    thesis,
    inference(forward_subsumption_resolution,[],[f110942,f61672]) ).

tff(f110944,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f110943,f23447]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP208_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n015.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 12:26:47 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.61/4.08  % (1593321)Detected formulas, will run a generic FOF schedule.
% 17.61/4.08  % (1593362)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2555776724:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 17.61/4.08  % (1593366)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4282095986:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 17.61/4.08  % (1593366)Instruction limit reached! 
% 17.61/4.08  % (1593366)------------------------------
% 17.61/4.08  % (1593366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/4.08  % (1593366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/4.08  % (1593366)CaDiCaL version: 2.1.3
% 17.61/4.08  % (1593366)Termination reason: Instruction limit
% 17.61/4.08  % (1593366)Termination phase: Initialization
% 17.61/4.08  % (1593366)Time elapsed: 0.051 s
% 17.61/4.08  % (1593366)Peak memory usage: 96 MB
% 17.61/4.08  % (1593366)Instructions burned: 119 (million)
% 17.61/4.08  % (1593363)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3593367500:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 17.61/4.08  % (1593364)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1604280123:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 17.61/4.08  % (1593365)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2590022718:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 17.61/4.08  % (1593367)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=195151992:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 17.61/4.08  % (1593368)dis-21_1_sil=8000:lcm=predicate:random_seed=761662802:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 17.61/4.08  % (1593365)Instruction limit reached! 
% 17.61/4.08  % (1593365)------------------------------
% 17.61/4.08  % (1593365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/4.08  % (1593365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/4.08  % (1593365)CaDiCaL version: 2.1.3
% 17.61/4.08  % (1593365)Termination reason: Instruction limit
% 17.61/4.08  % (1593365)Termination phase: Initialization
% 17.61/4.08  % (1593365)Time elapsed: 0.091 s
% 17.61/4.08  % (1593365)Peak memory usage: 96 MB
% 17.61/4.08  % (1593365)Instructions burned: 110 (million)
% 17.61/4.08  % (1593367)Instruction limit reached! 
% 17.61/4.08  % (1593367)------------------------------
% 17.61/4.08  % (1593367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/4.08  % (1593367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/4.08  % (1593367)CaDiCaL version: 2.1.3
% 17.61/4.08  % (1593367)Termination reason: Instruction limit
% 17.61/4.08  % (1593367)Termination phase: Property scanning
% 17.61/4.08  % (1593367)Time elapsed: 0.104 s
% 17.61/4.08  % (1593367)Peak memory usage: 93 MB
% 17.61/4.08  % (1593367)Instructions burned: 140 (million)
% 17.61/4.08  % (1593368)Instruction limit reached! 
% 17.61/4.08  % (1593368)------------------------------
% 17.61/4.08  % (1593368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/4.08  % (1593368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/4.08  % (1593368)CaDiCaL version: 2.1.3
% 17.61/4.08  % (1593368)Termination reason: Instruction limit
% 17.61/4.08  % (1593368)Termination phase: Initialization
% 17.61/4.08  % (1593368)Time elapsed: 0.108 s
% 17.61/4.08  % (1593368)Peak memory usage: 96 MB
% 17.61/4.08  % (1593368)Instructions burned: 129 (million)
% 17.61/4.08  % (1593373)lrs+10_1_sil=8000:sp=occurrence:random_seed=1291193201:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 17.61/4.08  % (1593373)Instruction limit reached! 
% 17.61/4.08  % (1593373)------------------------------
% 17.61/4.08  % (1593373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/4.08  % (1593373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/4.08  % (1593373)CaDiCaL version: 2.1.3
% 17.61/4.08  % (1593373)Termination reason: Instruction limit
% 17.61/4.08  % (1593373)Termination phase: Property scanning
% 17.61/4.08  % (1593373)Time elapsed: 0.129 s
% 17.61/4.08  % (1593373)Peak memory usage: 100 MB
% 17.61/4.08  % (1593373)Instructions burned: 288 (million)
% 20.88/4.76  % (1593379)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3871671001:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 20.88/4.76  % (1593382)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2153778942:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 20.88/4.76  % (1593383)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=85350256:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 20.88/4.76  % (1593379)Instruction limit reached! 
% 20.88/4.76  % (1593379)------------------------------
% 20.88/4.76  % (1593379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/4.76  % (1593379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/4.76  % (1593379)CaDiCaL version: 2.1.3
% 20.88/4.76  % (1593379)Termination reason: Instruction limit
% 20.88/4.76  % (1593379)Termination phase: Property scanning
% 20.88/4.76  % (1593379)Time elapsed: 0.121 s
% 20.88/4.76  % (1593379)Peak memory usage: 93 MB
% 20.88/4.76  % (1593379)Instructions burned: 158 (million)
% 20.88/4.76  % (1593387)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2535343604:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 20.88/4.76  % (1593383)Instruction limit reached! 
% 20.88/4.76  % (1593383)------------------------------
% 20.88/4.76  % (1593383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/4.76  % (1593383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/4.76  % (1593383)CaDiCaL version: 2.1.3
% 20.88/4.76  % (1593383)Termination reason: Instruction limit
% 20.88/4.76  % (1593383)Termination phase: Initialization
% 20.88/4.76  % (1593383)Time elapsed: 0.188 s
% 20.88/4.76  % (1593383)Peak memory usage: 95 MB
% 20.88/4.76  % (1593383)Instructions burned: 248 (million)
% 20.88/4.76  % (1593387)Instruction limit reached! 
% 20.88/4.76  % (1593387)------------------------------
% 20.88/4.76  % (1593387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/4.76  % (1593387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/4.76  % (1593387)CaDiCaL version: 2.1.3
% 20.88/4.76  % (1593387)Termination reason: Instruction limit
% 20.88/4.76  % (1593387)Termination phase: Property scanning
% 20.88/4.76  % (1593387)Time elapsed: 0.133 s
% 20.88/4.76  % (1593387)Peak memory usage: 100 MB
% 20.88/4.76  % (1593387)Instructions burned: 296 (million)
% 20.88/4.76  % (1593382)Instruction limit reached! 
% 20.88/4.76  % (1593382)------------------------------
% 20.88/4.76  % (1593382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/4.76  % (1593382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/4.76  % (1593382)CaDiCaL version: 2.1.3
% 20.88/4.76  % (1593382)Termination reason: Instruction limit
% 20.88/4.76  % (1593382)Termination phase: Property scanning
% 20.88/4.76  % (1593382)Time elapsed: 0.280 s
% 20.88/4.76  % (1593382)Peak memory usage: 100 MB
% 20.88/4.76  % (1593382)Instructions burned: 325 (million)
% 20.88/4.76  % (1593394)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=478871955:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 20.88/4.76  % (1593396)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4129904602:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 20.88/4.76  % (1593396)Instruction limit reached! 
% 20.88/4.76  % (1593396)------------------------------
% 20.88/4.76  % (1593396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/4.76  % (1593396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/4.76  % (1593396)CaDiCaL version: 2.1.3
% 20.88/4.76  % (1593396)Termination reason: Instruction limit
% 20.88/4.76  % (1593396)Termination phase: Initialization
% 20.88/4.76  % (1593396)Time elapsed: 0.039 s
% 20.88/4.76  % (1593396)Peak memory usage: 97 MB
% 20.88/4.76  % (1593396)Instructions burned: 131 (million)
% 20.88/4.76  % (1593395)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=109679758:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 20.88/4.76  % (1593397)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2761591525:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 20.88/4.76  % (1593395)Instruction limit reached! 
% 20.88/4.76  % (1593395)------------------------------
% 20.88/4.76  % (1593395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.14/5.55  % (1593395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.14/5.55  % (1593395)CaDiCaL version: 2.1.3
% 27.14/5.55  % (1593395)Termination reason: Instruction limit
% 27.14/5.55  % (1593395)Termination phase: Initialization
% 27.14/5.55  % (1593395)Time elapsed: 0.095 s
% 27.14/5.55  % (1593395)Peak memory usage: 96 MB
% 27.14/5.55  % (1593395)Instructions burned: 113 (million)
% 27.14/5.55  % (1593402)lrs+10_1_sil=8000:sp=occurrence:random_seed=3245476182:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 27.14/5.55  % (1593397)Instruction limit reached! 
% 27.14/5.55  % (1593397)------------------------------
% 27.14/5.55  % (1593397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.14/5.55  % (1593397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.14/5.55  % (1593397)CaDiCaL version: 2.1.3
% 27.14/5.55  % (1593397)Termination reason: Instruction limit
% 27.14/5.55  % (1593397)Termination phase: Property scanning
% 27.14/5.55  % (1593397)Time elapsed: 0.087 s
% 27.14/5.55  % (1593397)Peak memory usage: 93 MB
% 27.14/5.55  % (1593397)Instructions burned: 115 (million)
% 27.14/5.55  % (1593406)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=127818576:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 27.14/5.55  % (1593407)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3350039451:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 27.14/5.55  % (1593402)Instruction limit reached! 
% 27.14/5.55  % (1593402)------------------------------
% 27.14/5.55  % (1593402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.14/5.55  % (1593402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.14/5.55  % (1593402)CaDiCaL version: 2.1.3
% 27.14/5.55  % (1593402)Termination reason: Instruction limit
% 27.14/5.55  % (1593402)Termination phase: Property scanning
% 27.14/5.55  % (1593402)Time elapsed: 0.414 s
% 27.14/5.55  % (1593402)Peak memory usage: 106 MB
% 27.14/5.55  % (1593402)Instructions burned: 909 (million)
% 27.14/5.55  % (1593412)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1143001422:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 27.14/5.55  % (1593406)Instruction limit reached! 
% 27.14/5.55  % (1593406)------------------------------
% 27.14/5.55  % (1593406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.14/5.55  % (1593406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.14/5.55  % (1593406)CaDiCaL version: 2.1.3
% 27.14/5.55  % (1593406)Termination reason: Instruction limit
% 27.14/5.55  % (1593406)Termination phase: Property scanning
% 27.14/5.55  % (1593406)Time elapsed: 0.360 s
% 27.14/5.55  % (1593406)Peak memory usage: 100 MB
% 27.14/5.55  % (1593406)Instructions burned: 437 (million)
% 27.14/5.55  % (1593412)Instruction limit reached! 
% 27.14/5.55  % (1593412)------------------------------
% 27.14/5.55  % (1593412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.14/5.55  % (1593412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.14/5.55  % (1593412)CaDiCaL version: 2.1.3
% 27.14/5.55  % (1593412)Termination reason: Instruction limit
% 27.14/5.55  % (1593412)Termination phase: Preprocessing 1
% 27.14/5.55  % (1593412)Time elapsed: 0.078 s
% 27.14/5.55  % (1593412)Peak memory usage: 95 MB
% 27.14/5.55  % (1593412)Instructions burned: 135 (million)
% 27.14/5.55  % (1593364)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 27.14/5.55  % (1593417)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2747276102:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 27.14/5.55  % (1593416)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2338739301:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 27.14/5.55  % Exception at run slice level
% 27.14/5.55  User error: GNN currently only supports monomorphic FOL.
% 27.14/5.55  % (1593424)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1377596244:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 27.14/5.55  % (1593416)Instruction limit reached! 
% 27.14/5.55  % (1593416)------------------------------
% 27.14/5.55  % (1593416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.14/5.55  % (1593416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.31/7.65  % (1593416)CaDiCaL version: 2.1.3
% 41.31/7.65  % (1593416)Termination reason: Instruction limit
% 41.31/7.65  % (1593416)Termination phase: SInE selection
% 41.31/7.65  % (1593416)Time elapsed: 0.502 s
% 41.31/7.65  % (1593416)Peak memory usage: 101 MB
% 41.31/7.65  % (1593416)Instructions burned: 593 (million)
% 41.31/7.65  % Exception at run slice level
% 41.31/7.65  User error: GNN currently only supports monomorphic FOL.
% 41.31/7.65  % (1593424)Instruction limit reached! 
% 41.31/7.65  % (1593424)------------------------------
% 41.31/7.65  % (1593424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.31/7.65  % (1593424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.31/7.65  % (1593424)CaDiCaL version: 2.1.3
% 41.31/7.65  % (1593424)Termination reason: Instruction limit
% 41.31/7.65  % (1593424)Termination phase: Property scanning
% 41.31/7.65  % (1593424)Time elapsed: 0.094 s
% 41.31/7.65  % (1593424)Peak memory usage: 93 MB
% 41.31/7.65  % (1593424)Instructions burned: 126 (million)
% 41.31/7.65  % Exception at run slice level
% 41.31/7.65  User error: GNN currently only supports monomorphic FOL.
% 41.31/7.65  % (1593428)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2815423792:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 41.31/7.65  % (1593429)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=995246785:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/141Mi)
% 41.31/7.65  % (1593430)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2524305403:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 41.31/7.65  % (1593429)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 41.31/7.65  % (1593429)Refutation not found, incomplete strategy
% 41.31/7.65  % (1593429)------------------------------
% 41.31/7.65  % (1593429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.31/7.65  % (1593429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.31/7.65  % (1593429)CaDiCaL version: 2.1.3
% 41.31/7.65  % (1593429)Termination reason: Refutation not found, incomplete strategy
% 41.31/7.65  % (1593429)Time elapsed: 0.078 s
% 41.31/7.65  % (1593429)Peak memory usage: 97 MB
% 41.31/7.65  % (1593429)Instructions burned: 76 (million)
% 41.31/7.65  % (1593428)Instruction limit reached! 
% 41.31/7.65  % (1593428)------------------------------
% 41.31/7.65  % (1593428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.31/7.65  % (1593428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.31/7.65  % (1593428)CaDiCaL version: 2.1.3
% 41.31/7.65  % (1593428)Termination reason: Instruction limit
% 41.31/7.65  % (1593428)Termination phase: Property scanning
% 41.31/7.65  % (1593428)Time elapsed: 0.102 s
% 41.31/7.65  % (1593428)Peak memory usage: 93 MB
% 41.31/7.65  % (1593428)Instructions burned: 135 (million)
% 41.31/7.65  % (1593432)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=394571755:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 41.31/7.65  % Exception at run slice level
% 41.31/7.65  User error: GNN currently only supports monomorphic FOL.
% 41.31/7.65  % (1593435)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2399774443:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 41.31/7.65  % Exception at run slice level
% 41.31/7.65  User error: GNN currently only supports monomorphic FOL.
% 41.31/7.65  % (1593430)Instruction limit reached! 
% 41.31/7.65  % (1593430)------------------------------
% 41.31/7.65  % (1593430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.31/7.65  % (1593430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.31/7.65  % (1593430)CaDiCaL version: 2.1.3
% 41.31/7.65  % (1593430)Termination reason: Instruction limit
% 41.31/7.65  % (1593430)Termination phase: Property scanning
% 41.31/7.65  % (1593430)Time elapsed: 0.353 s
% 41.31/7.65  % (1593430)Peak memory usage: 100 MB
% 41.31/7.65  % (1593430)Instructions burned: 432 (million)
% 41.31/7.65  % (1593439)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3750578942:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 41.31/7.65  % (1593435)Instruction limit reached! 
% 57.36/9.73  % (1593435)------------------------------
% 57.36/9.73  % (1593435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.36/9.73  % (1593435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.36/9.73  % (1593435)CaDiCaL version: 2.1.3
% 57.36/9.73  % (1593435)Termination reason: Instruction limit
% 57.36/9.73  % (1593435)Termination phase: Initialization
% 57.36/9.73  % (1593435)Time elapsed: 0.130 s
% 57.36/9.73  % (1593435)Peak memory usage: 97 MB
% 57.36/9.73  % (1593435)Instructions burned: 150 (million)
% 57.36/9.73  % (1593429)------------------------------
% 57.36/9.73  % (1593429)------------------------------
% 57.36/9.73  % Exception at run slice level
% 57.36/9.73  User error: GNN currently only supports monomorphic FOL.
% 57.36/9.73  % (1593441)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=14090004:i=667:av=off:fsr=off_2962 on theBenchmark for (2962ds/667Mi)
% 57.36/9.73  % (1593442)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3791788293:s2a=on:i=185:s2at=1.8:fdi=4_2961 on theBenchmark for (2961ds/185Mi)
% 57.36/9.73  % (1593444)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3743472200:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2961 on theBenchmark for (2961ds/193Mi)
% 57.36/9.73  % (1593446)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2761924484:i=12111:sd=1:ss=included_2960 on theBenchmark for (2960ds/12111Mi)
% 57.36/9.73  % (1593445)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3521989491:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2960 on theBenchmark for (2960ds/4850Mi)
% 57.36/9.73  % (1593442)Instruction limit reached! 
% 57.36/9.73  % (1593442)------------------------------
% 57.36/9.73  % (1593442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.36/9.73  % (1593442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.36/9.73  % (1593442)CaDiCaL version: 2.1.3
% 57.36/9.73  % (1593442)Termination reason: Instruction limit
% 57.36/9.73  % (1593442)Termination phase: Preprocessing 1
% 57.36/9.73  % (1593442)Time elapsed: 0.175 s
% 57.36/9.73  % (1593442)Peak memory usage: 95 MB
% 57.36/9.73  % (1593442)Instructions burned: 185 (million)
% 57.36/9.73  % (1593444)Instruction limit reached! 
% 57.36/9.73  % (1593444)------------------------------
% 57.36/9.73  % (1593444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.36/9.73  % (1593444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.36/9.73  % (1593444)CaDiCaL version: 2.1.3
% 57.36/9.73  % (1593444)Termination reason: Instruction limit
% 57.36/9.73  % (1593444)Termination phase: Initialization
% 57.36/9.73  % (1593444)Time elapsed: 0.170 s
% 57.36/9.73  % (1593444)Peak memory usage: 98 MB
% 57.36/9.73  % (1593444)Instructions burned: 194 (million)
% 57.36/9.73  % (1593453)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1575437924:i=319:kws=precedence:fsr=off_2958 on theBenchmark for (2958ds/319Mi)
% 57.36/9.73  % (1593455)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1867819778:i=2064:ep=RST_2957 on theBenchmark for (2957ds/2064Mi)
% 57.36/9.73  % Exception at run slice level
% 57.36/9.73  User error: GNN currently only supports monomorphic FOL.
% 57.36/9.73  % (1593441)Instruction limit reached! 
% 57.36/9.73  % (1593441)------------------------------
% 57.36/9.73  % (1593441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.36/9.73  % (1593441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.36/9.73  % (1593441)CaDiCaL version: 2.1.3
% 57.36/9.73  % (1593441)Termination reason: Instruction limit
% 57.36/9.73  % (1593441)Termination phase: Property scanning
% 57.36/9.73  % (1593441)Time elapsed: 0.627 s
% 57.36/9.73  % (1593441)Peak memory usage: 108 MB
% 57.36/9.73  % (1593441)Instructions burned: 667 (million)
% 57.36/9.73  % (1593453)Instruction limit reached! 
% 57.36/9.73  % (1593453)------------------------------
% 57.36/9.73  % (1593453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.36/9.73  % (1593453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.36/9.73  % (1593453)CaDiCaL version: 2.1.3
% 57.36/9.73  % (1593453)Termination reason: Instruction limit
% 57.36/9.73  % (1593453)Termination phase: Property scanning
% 57.36/9.73  % (1593453)Time elapsed: 0.269 s
% 57.36/9.73  % (1593453)Peak memory usage: 100 MB
% 57.36/9.73  % (1593453)Instructions burned: 320 (million)
% 75.52/12.29  % (1593458)dis-1011_128_sil=32000:random_seed=625974382:i=3706:ep=RST:av=off_2954 on theBenchmark for (2954ds/3706Mi)
% 75.52/12.29  % (1593459)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=119561759:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2953 on theBenchmark for (2953ds/757Mi)
% 75.52/12.29  % (1593460)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1086681407:i=13913:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/13913Mi)
% 75.52/12.29  % (1593459)Refutation not found, incomplete strategy
% 75.52/12.29  % (1593459)------------------------------
% 75.52/12.29  % (1593459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.52/12.29  % (1593459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.52/12.29  % (1593459)CaDiCaL version: 2.1.3
% 75.52/12.29  % (1593459)Termination reason: Refutation not found, incomplete strategy
% 75.52/12.29  % (1593459)Time elapsed: 0.092 s
% 75.52/12.29  % (1593459)Peak memory usage: 98 MB
% 75.52/12.29  % (1593459)Instructions burned: 86 (million)
% 75.52/12.29  % (1593459)------------------------------
% 75.52/12.29  % (1593459)------------------------------
% 75.52/12.29  % (1593466)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1215746905:i=9925:aac=none_2946 on theBenchmark for (2946ds/9925Mi)
% 75.52/12.29  % Exception at run slice level
% 75.52/12.29  User error: GNN currently only supports monomorphic FOL.
% 75.52/12.29  % (1593470)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1147778450:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2940 on theBenchmark for (2940ds/2479Mi)
% 75.52/12.29  % (1593455)Instruction limit reached! 
% 75.52/12.29  % (1593455)------------------------------
% 75.52/12.29  % (1593455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.52/12.29  % (1593455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.52/12.29  % (1593455)CaDiCaL version: 2.1.3
% 75.52/12.29  % (1593455)Termination reason: Instruction limit
% 75.52/12.29  % (1593455)Termination phase: Property scanning
% 75.52/12.29  % (1593455)Time elapsed: 1.707 s
% 75.52/12.29  % (1593455)Peak memory usage: 115 MB
% 75.52/12.29  % (1593455)Instructions burned: 2065 (million)
% 75.52/12.29  % Exception at run slice level
% 75.52/12.29  User error: GNN currently only supports monomorphic FOL.
% 75.52/12.29  % Exception at run slice level
% 75.52/12.29  User error: GNN currently only supports monomorphic FOL.
% 75.52/12.29  % (1593476)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2645316782:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2937 on theBenchmark for (2937ds/440Mi)
% 75.52/12.29  % (1593458)Instruction limit reached! 
% 75.52/12.29  % (1593458)------------------------------
% 75.52/12.29  % (1593458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.52/12.29  % (1593458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.52/12.29  % (1593458)CaDiCaL version: 2.1.3
% 75.52/12.29  % (1593458)Termination reason: Instruction limit
% 75.52/12.29  % (1593458)Termination phase: Saturation
% 75.52/12.29  % (1593458)Time elapsed: 1.741 s
% 75.52/12.29  % (1593458)Peak memory usage: 133 MB
% 75.52/12.29  % (1593458)Instructions burned: 3706 (million)
% 75.52/12.29  % (1593478)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=372634428:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2937 on theBenchmark for (2937ds/11145Mi)
% 75.52/12.29  % (1593479)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1130025507:cts=off:i=3034:av=off:er=known:fsd=on_2936 on theBenchmark for (2936ds/3034Mi)
% 75.52/12.29  % (1593482)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3354716968:st=2:s2a=on:i=524:s2at=2:ss=axioms_2935 on theBenchmark for (2935ds/524Mi)
% 75.52/12.29  % (1593476)Instruction limit reached! 
% 75.52/12.29  % (1593476)------------------------------
% 75.52/12.29  % (1593476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.52/12.29  % (1593476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.52/12.29  % (1593476)CaDiCaL version: 2.1.3
% 75.52/12.29  % (1593476)Termination reason: Instruction limit
% 75.52/12.29  % (1593476)Termination phase: Property scanning
% 75.52/12.29  % (1593476)Time elapsed: 0.338 s
% 75.52/12.29  % (1593476)Peak memory usage: 93 MB
% 75.52/12.29  % (1593476)Instructions burned: 440 (million)
% 90.45/14.39  % (1593470)Refutation not found, incomplete strategy
% 90.45/14.39  % (1593470)------------------------------
% 90.45/14.39  % (1593470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.45/14.39  % (1593470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.45/14.39  % (1593470)CaDiCaL version: 2.1.3
% 90.45/14.39  % (1593470)Termination reason: Refutation not found, incomplete strategy
% 90.45/14.39  % (1593470)Time elapsed: 0.597 s
% 90.45/14.39  % (1593470)Peak memory usage: 104 MB
% 90.45/14.39  % (1593470)Instructions burned: 695 (million)
% 90.45/14.39  % (1593482)Instruction limit reached! 
% 90.45/14.39  % (1593482)------------------------------
% 90.45/14.39  % (1593482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.45/14.39  % (1593482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.45/14.39  % (1593482)CaDiCaL version: 2.1.3
% 90.45/14.39  % (1593482)Termination reason: Instruction limit
% 90.45/14.39  % (1593482)Termination phase: Property scanning
% 90.45/14.39  % (1593482)Time elapsed: 0.232 s
% 90.45/14.39  % (1593482)Peak memory usage: 100 MB
% 90.45/14.39  % (1593482)Instructions burned: 525 (million)
% 90.45/14.39  % (1593486)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3605339864:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2932 on theBenchmark for (2932ds/1016Mi)
% 90.45/14.39  % (1593487)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1519938565:i=14123:bd=preordered:ins=4_2931 on theBenchmark for (2931ds/14123Mi)
% 90.45/14.39  % (1593470)------------------------------
% 90.45/14.39  % (1593470)------------------------------
% 90.45/14.39  % (1593492)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1818316983:i=5781:kws=precedence:bd=all:rawr=on_2928 on theBenchmark for (2928ds/5781Mi)
% 90.45/14.39  % Exception at run slice level
% 90.45/14.39  User error: GNN currently only supports monomorphic FOL.
% 90.45/14.39  % Exception at run slice level
% 90.45/14.39  User error: GNN currently only supports monomorphic FOL.
% 90.45/14.39  % (1593494)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3177121983:i=2448:gtgl=5:bd=preordered:gtg=all_2924 on theBenchmark for (2924ds/2448Mi)
% 90.45/14.39  % (1593486)Instruction limit reached! 
% 90.45/14.39  % (1593486)------------------------------
% 90.45/14.39  % (1593486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.45/14.39  % (1593486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.45/14.39  % (1593486)CaDiCaL version: 2.1.3
% 90.45/14.39  % (1593486)Termination reason: Instruction limit
% 90.45/14.39  % (1593486)Termination phase: Saturation
% 90.45/14.39  % (1593486)Time elapsed: 0.937 s
% 90.45/14.39  % (1593486)Peak memory usage: 128 MB
% 90.45/14.39  % (1593486)Instructions burned: 1016 (million)
% 90.45/14.39  % (1593495)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1773456509:i=3223:kws=precedence:fgj=on:av=off_2922 on theBenchmark for (2922ds/3223Mi)
% 90.45/14.39  % Exception at run slice level
% 90.45/14.39  User error: GNN currently only supports monomorphic FOL.
% 90.45/14.39  % (1593497)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=749074399:st=5.6:i=2033:sd=3:ss=axioms_2920 on theBenchmark for (2920ds/2033Mi)
% 90.45/14.39  % (1593501)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1973706216:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2918 on theBenchmark for (2918ds/2055Mi)
% 90.45/14.39  % Exception at run slice level
% 90.45/14.39  User error: GNN currently only supports monomorphic FOL.
% 90.45/14.39  % (1593445)Instruction limit reached! 
% 90.45/14.39  % (1593445)------------------------------
% 90.45/14.39  % (1593445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.45/14.39  % (1593445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.45/14.39  % (1593445)CaDiCaL version: 2.1.3
% 90.45/14.39  % (1593445)Termination reason: Instruction limit
% 90.45/14.39  % (1593445)Termination phase: Saturation
% 90.45/14.39  % (1593445)Time elapsed: 4.474 s
% 90.45/14.39  % (1593445)Peak memory usage: 162 MB
% 90.45/14.39  % (1593445)Instructions burned: 4850 (million)
% 90.45/14.39  % (1593506)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3602961610:i=21611:sd=3:ss=axioms_2914 on theBenchmark for (2914ds/21611Mi)
% 90.45/14.39  % (1593507)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1426485865:i=4835:sd=13:ss=axioms:sgt=23_2913 on theBenchmark for (2913ds/4835Mi)
% 113.62/17.73  % Exception at run slice level
% 113.62/17.73  User error: GNN currently only supports monomorphic FOL.
% 113.62/17.73  % (1593510)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=4021675326:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2908 on theBenchmark for (2908ds/797Mi)
% 113.62/17.73  % Exception at run slice level
% 113.62/17.73  User error: GNN currently only supports monomorphic FOL.
% 113.62/17.73  % (1593510)Instruction limit reached! 
% 113.62/17.73  % (1593510)------------------------------
% 113.62/17.73  % (1593510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.62/17.73  % (1593510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.62/17.73  % (1593510)CaDiCaL version: 2.1.3
% 113.62/17.73  % (1593510)Termination reason: Instruction limit
% 113.62/17.73  % (1593510)Termination phase: Property scanning
% 113.62/17.73  % (1593510)Time elapsed: 0.417 s
% 113.62/17.73  % (1593510)Peak memory usage: 108 MB
% 113.62/17.73  % (1593510)Instructions burned: 803 (million)
% 113.62/17.73  % (1593494)Instruction limit reached! 
% 113.62/17.73  % (1593494)------------------------------
% 113.62/17.73  % (1593494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.62/17.73  % (1593494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.62/17.73  % (1593494)CaDiCaL version: 2.1.3
% 113.62/17.73  % (1593494)Termination reason: Instruction limit
% 113.62/17.73  % (1593494)Termination phase: Saturation
% 113.62/17.73  % (1593494)Time elapsed: 2.055 s
% 113.62/17.73  % (1593494)Peak memory usage: 126 MB
% 113.62/17.73  % (1593494)Instructions burned: 2449 (million)
% 113.62/17.73  % (1593517)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=701491208:i=6038:nm=6_2902 on theBenchmark for (2902ds/6038Mi)
% 113.62/17.73  % Exception at run slice level
% 113.62/17.73  User error: GNN currently only supports monomorphic FOL.
% 113.62/17.73  % (1593516)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=2768812522:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2902 on theBenchmark for (2902ds/2326Mi)
% 113.62/17.73  % Exception at run slice level
% 113.62/17.73  User error: GNN currently only supports monomorphic FOL.
% 113.62/17.73  % (1593518)lrs+10_1_sil=32000:sp=occurrence:random_seed=689355703:st=2:i=33334:sd=3:ss=included:sgt=32_2901 on theBenchmark for (2901ds/33334Mi)
% 113.62/17.73  % (1593520)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=3980047477:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2901 on theBenchmark for (2901ds/1008Mi)
% 113.62/17.73  % (1593524)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2762130444:i=8327:s2at=5:bd=preordered_2899 on theBenchmark for (2899ds/8327Mi)
% 113.62/17.73  % Exception at run slice level
% 113.62/17.73  User error: GNN currently only supports monomorphic FOL.
% 113.62/17.73  % (1593520)Instruction limit reached! 
% 113.62/17.73  % (1593520)------------------------------
% 113.62/17.73  % (1593520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.62/17.73  % (1593520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.62/17.73  % (1593520)CaDiCaL version: 2.1.3
% 113.62/17.73  % (1593520)Termination reason: Instruction limit
% 113.62/17.73  % (1593520)Termination phase: Property scanning
% 113.62/17.73  % (1593520)Time elapsed: 0.866 s
% 113.62/17.73  % (1593520)Peak memory usage: 104 MB
% 113.62/17.73  % (1593520)Instructions burned: 1009 (million)
% 113.62/17.73  % (1593528)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1594556064:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2890 on theBenchmark for (2890ds/1083Mi)
% 113.62/17.73  % (1593529)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=4145712176:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2890 on theBenchmark for (2890ds/1084Mi)
% 113.62/17.73  % (1593529)Refutation not found, incomplete strategy
% 113.62/17.73  % (1593529)------------------------------
% 113.62/17.73  % (1593529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.62/17.73  % (1593529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.27/18.35  % (1593529)CaDiCaL version: 2.1.3
% 113.27/18.35  % (1593529)Termination reason: Refutation not found, incomplete strategy
% 113.27/18.35  % (1593529)Time elapsed: 0.273 s
% 113.27/18.35  % (1593529)Peak memory usage: 103 MB
% 113.27/18.35  % (1593529)Instructions burned: 616 (million)
% 113.27/18.35  % (1593529)------------------------------
% 113.27/18.35  % (1593529)------------------------------
% 113.27/18.35  % (1593532)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=2008158826:i=6995:s2at=5:gtg=all_2883 on theBenchmark for (2883ds/6995Mi)
% 113.27/18.35  % (1593516)Instruction limit reached! 
% 113.27/18.35  % (1593516)------------------------------
% 113.27/18.35  % (1593516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.27/18.35  % (1593516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.27/18.35  % (1593516)CaDiCaL version: 2.1.3
% 113.27/18.35  % (1593516)Termination reason: Instruction limit
% 113.27/18.35  % (1593516)Termination phase: Saturation
% 113.27/18.35  % (1593516)Time elapsed: 2.060 s
% 113.27/18.35  % (1593516)Peak memory usage: 119 MB
% 113.27/18.35  % (1593516)Instructions burned: 2327 (million)
% 113.27/18.35  % (1593528)Instruction limit reached! 
% 113.27/18.35  % (1593528)------------------------------
% 113.27/18.35  % (1593528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.27/18.35  % (1593528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.27/18.35  % (1593528)CaDiCaL version: 2.1.3
% 113.27/18.35  % (1593528)Termination reason: Instruction limit
% 113.27/18.35  % (1593528)Termination phase: Property scanning
% 113.27/18.35  % (1593528)Time elapsed: 0.971 s
% 113.27/18.35  % (1593528)Peak memory usage: 111 MB
% 113.27/18.35  % (1593528)Instructions burned: 1084 (million)
% 113.27/18.35  % (1593534)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=487146681:st=2:i=6225:sd=15:ss=axioms_2880 on theBenchmark for (2880ds/6225Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593535)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=758345364:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2878 on theBenchmark for (2878ds/3372Mi)
% 113.27/18.35  % (1593492)Instruction limit reached! 
% 113.27/18.35  % (1593492)------------------------------
% 113.27/18.35  % (1593492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.27/18.35  % (1593492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.27/18.35  % (1593492)CaDiCaL version: 2.1.3
% 113.27/18.35  % (1593492)Termination reason: Instruction limit
% 113.27/18.35  % (1593492)Termination phase: Saturation
% 113.27/18.35  % (1593492)Time elapsed: 4.980 s
% 113.27/18.35  % (1593492)Peak memory usage: 133 MB
% 113.27/18.35  % (1593492)Instructions burned: 5781 (million)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: Immediate (shared) subterms of term/literal product_Pair(list(X1),list(X0),X2) = sF1604(X1,X0,X2) have different types/not well-typed!
% 113.27/18.35  % (1593537)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=3943528830:st=2.3:i=26457:sd=10:ss=included:sgt=8_2877 on theBenchmark for (2877ds/26457Mi)
% 113.27/18.35  % (1593540)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=3428802766:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2875 on theBenchmark for (2875ds/2503Mi)
% 113.27/18.35  % (1593539)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=4186642233:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2875 on theBenchmark for (2875ds/13494Mi)
% 113.27/18.35  % (1593540)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593507)Instruction limit reached! 
% 113.27/18.35  % (1593507)------------------------------
% 113.27/18.35  % (1593507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.27/18.35  % (1593507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.27/18.35  % (1593507)CaDiCaL version: 2.1.3
% 113.27/18.35  % (1593507)Termination reason: Instruction limit
% 113.27/18.35  % (1593507)Termination phase: Saturation
% 113.27/18.35  % (1593507)Time elapsed: 4.660 s
% 113.27/18.35  % (1593507)Peak memory usage: 139 MB
% 113.27/18.35  % (1593507)Instructions burned: 4836 (million)
% 113.27/18.35  % (1593544)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=2308404580:i=2559:sd=1:ep=RSTC:ss=axioms_2865 on theBenchmark for (2865ds/2559Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593545)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=2687933007:i=30753:av=off:ss=included_2864 on theBenchmark for (2864ds/30753Mi)
% 113.27/18.35  % (1593547)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=4113321500:i=26473:ep=RSTC_2862 on theBenchmark for (2862ds/26473Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593550)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=2581480197:cts=off:i=2759:kws=inv_arity:fgj=on_2857 on theBenchmark for (2857ds/2759Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593552)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=2410448144:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2853 on theBenchmark for (2853ds/5665Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593554)dis+1011_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:npcc=on:sos=on:lsd=20:urr=full:alpa=true:sac=on:random_seed=1314806631:i=1532:ep=RS:ss=axioms_2850 on theBenchmark for (2850ds/1532Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593552)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 113.27/18.35  % (1593556)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=3514479584:i=1565:sd=2:ss=axioms:sgt=32_2845 on theBenchmark for (2845ds/1565Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593558)lrs-1011_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:sims=off:bsd=on:sp=unary_first:erd=off:spb=goal:lcm=reverse:gs=on:s2agt=8:random_seed=279251012:i=1572:fgj=on:gsp=on_2840 on theBenchmark for (2840ds/1572Mi)
% 113.27/18.35  % (1593559)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=1056700292:i=6052:sd=4:ss=axioms:sgt=24_2839 on theBenchmark for (2839ds/6052Mi)
% 113.27/18.35  % (1593560)lrs+21_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=arity:sos=on:erd=off:lcm=predicate:alpa=false:sac=on:random_seed=2627122465:i=3500:sd=1:bd=preordered:sup=off:ss=included_2838 on theBenchmark for (2838ds/3500Mi)
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593554)Instruction limit reached! 
% 113.27/18.35  % (1593554)------------------------------
% 113.27/18.35  % (1593554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.27/18.35  % (1593554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.27/18.35  % (1593554)CaDiCaL version: 2.1.3
% 113.27/18.35  % (1593554)Termination reason: Instruction limit
% 113.27/18.35  % (1593554)Termination phase: Saturation
% 113.27/18.35  % (1593554)Time elapsed: 1.418 s
% 113.27/18.35  % (1593554)Peak memory usage: 123 MB
% 113.27/18.35  % (1593554)Instructions burned: 1532 (million)
% 113.27/18.35  % (1593564)lrs+35_1_anc=all_dependent:ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:npcc=on:fde=none:sp=weighted_frequency:erd=off:spb=non_intro:updr=off:newcnf=on:random_seed=1528721151:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2833 on theBenchmark for (2833ds/1842Mi)
% 113.27/18.35  % (1593565)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=641913677:i=66096:add=on_2833 on theBenchmark for (2833ds/66096Mi)
% 113.27/18.35  % (1593564)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 113.27/18.35  % (1593534)First to succeed.
% 113.27/18.35  % (1593534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1593321"
% 113.27/18.35  % Exception at run slice level
% 113.27/18.35  User error: GNN currently only supports monomorphic FOL.
% 113.27/18.35  % (1593568)lrs+1011_1_to=lpo:ncem=casc2026/models/loop3.pt:sil=64000:npcc=on:random_seed=106176875:i=1884:sd=1:nm=60:ss=axioms_2827 on theBenchmark for (2827ds/1884Mi)
% 113.27/18.35  % (1593534)Refutation found. Thanks to Tanya!
% 113.27/18.35  % SZS status Theorem for theBenchmark
% 113.27/18.35  % SZS output start Proof for theBenchmark
% See solution above
% 119.49/18.63  % (1593534)------------------------------
% 119.49/18.63  % (1593534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.49/18.63  % (1593534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.49/18.63  % (1593534)CaDiCaL version: 2.1.3
% 119.49/18.63  % (1593534)Termination reason: Refutation
% 119.49/18.63  % (1593534)Time elapsed: 4.803 s
% 119.49/18.63  % (1593534)Peak memory usage: 179 MB
% 119.49/18.63  % (1593534)Instructions burned: 5205 (million)
% 119.49/18.63  % (1593534)------------------------------
% 119.49/18.63  % (1593534)------------------------------
% 119.49/18.63  % (1593321)Success in time 17.47 s
% 119.49/18.63  % Vampire exiting
%------------------------------------------------------------------------------