Vampire-SAT---5.0.1.THM-Ref.s

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

% 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 11:36:49 AM UTC 2026

% Result   : Theorem 182.33s 31.99s
% Output   : Refutation 182.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   61 (  21 unt;   0 typ;   4 def)
%            Number of atoms       :  142 (  56 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  151 (  70   ~;  64   |;   0   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 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  :  320 ( 318 usr;   6 prp; 0-8 aty)
%            Number of functors    : 2408 (2408 usr;  94 con; 0-8 aty)
%            Number of variables   :  153 (   0 sgn 153   !;   0   ?; 153   :)

% 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,
    sK25: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_977,type,
    sK26: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_978,type,
    sK27: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_979,type,
    sK28: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_980,type,
    sK29: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_981,type,
    sK30: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_982,type,
    sK31: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_983,type,
    sK32: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_984,type,
    sK33: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_985,type,
    sK34: fun(nat,nat) > nat ).

tff(func_def_986,type,
    sK35: fun(nat,nat) > nat ).

tff(func_def_987,type,
    sK36: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_988,type,
    sK37: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_989,type,
    sK38: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_990,type,
    sK39: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_991,type,
    sK40: fun(nat,$o) > nat ).

tff(func_def_992,type,
    sK41: fun(nat,$o) > nat ).

tff(func_def_993,type,
    sK42: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_994,type,
    sK43: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_995,type,
    sK44: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_996,type,
    sK45: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_997,type,
    sK46: fun(nat,$o) > nat ).

tff(func_def_998,type,
    sK47: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_999,type,
    sK48: ( nat * nat ) > nat ).

tff(func_def_1000,type,
    sK49: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1001,type,
    sK50: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1002,type,
    sK51: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1003,type,
    sK52: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1004,type,
    sK53: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1005,type,
    sK54: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1006,type,
    sK55: ( nat * nat ) > nat ).

tff(func_def_1007,type,
    sK56: nat > nat ).

tff(func_def_1008,type,
    sK57: ( nat * nat ) > nat ).

tff(func_def_1009,type,
    sK58: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1010,type,
    sK59: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1011,type,
    sK60: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1012,type,
    sK61: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1013,type,
    sK62: ( nat * nat ) > nat ).

tff(func_def_1014,type,
    sK63: nat > nat ).

tff(func_def_1015,type,
    sK64: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1016,type,
    sK65: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1017,type,
    sK66: nat > nat ).

tff(func_def_1018,type,
    sK67: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1019,type,
    sK68: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1020,type,
    sK69: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1021,type,
    sK70: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1022,type,
    sK71: fun(nat,$o) > nat ).

tff(func_def_1023,type,
    sK72: fun(nat,$o) > nat ).

tff(func_def_1024,type,
    sK73: nat > nat ).

tff(func_def_1025,type,
    sK74: fun(nat,$o) > nat ).

tff(func_def_1026,type,
    sK75: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1027,type,
    sK76: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1028,type,
    sK77: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1029,type,
    sK78: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1030,type,
    sK79: fun(nat,$o) > nat ).

tff(func_def_1031,type,
    sK80: nat > nat ).

tff(func_def_1032,type,
    sK81: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1033,type,
    sK82: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1034,type,
    sK83: fun(nat,$o) > nat ).

tff(func_def_1035,type,
    sK84: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1036,type,
    sK85: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1037,type,
    sK86: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1038,type,
    sK87: int > nat ).

tff(func_def_1039,type,
    sK88: int > nat ).

tff(func_def_1040,type,
    sK89: int > nat ).

tff(func_def_1041,type,
    sK90: int > nat ).

tff(func_def_1042,type,
    sK91: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1043,type,
    sK92: fun(nat,$o) > nat ).

tff(func_def_1044,type,
    sK93: int > nat ).

tff(func_def_1045,type,
    sK94: int > nat ).

tff(func_def_1046,type,
    sK95: int > nat ).

tff(func_def_1047,type,
    sK96: int > nat ).

tff(func_def_1048,type,
    sK97: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1049,type,
    sK98: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1050,type,
    sK99: int > nat ).

tff(func_def_1051,type,
    sK100: int > nat ).

tff(func_def_1052,type,
    sK101: fun(int,$o) > nat ).

tff(func_def_1053,type,
    sK102: fun(int,$o) > nat ).

tff(func_def_1054,type,
    sK103: int > nat ).

tff(func_def_1055,type,
    sK104: int > nat ).

tff(func_def_1056,type,
    sK105: int > nat ).

tff(func_def_1057,type,
    sK106: int > nat ).

tff(func_def_1058,type,
    sK107: int > nat ).

tff(func_def_1059,type,
    sK110: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1060,type,
    sK111: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1061,type,
    sK112: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1062,type,
    sK113: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1063,type,
    sK114: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_1064,type,
    sK115: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_1065,type,
    sK116: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_1066,type,
    sK117: nat > nat ).

tff(func_def_1067,type,
    sK120: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1068,type,
    sK121: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1069,type,
    sK122: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1070,type,
    sK123: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1071,type,
    sK124: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1072,type,
    sK125: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1073,type,
    sK126: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1074,type,
    sK127: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1075,type,
    sK128: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1076,type,
    sK129: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1077,type,
    sK130: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1078,type,
    sK131: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1079,type,
    sK132: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1080,type,
    sK133: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1081,type,
    sK134: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1082,type,
    sK135: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1083,type,
    sK136: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1084,type,
    sK137: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1085,type,
    sK138: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1086,type,
    sK139: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1087,type,
    sK140: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1088,type,
    sK141: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1089,type,
    sK144: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1090,type,
    sK145: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1091,type,
    sK146: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1092,type,
    sK149: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1093,type,
    sK150: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1094,type,
    sK151: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1095,type,
    sK152: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1096,type,
    sK153: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1097,type,
    sK154: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1098,type,
    sK155: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1099,type,
    sK156: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1100,type,
    sK159: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1101,type,
    sK160: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1102,type,
    sK161: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1103,type,
    sK164: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1104,type,
    sK165: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1105,type,
    sK166: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1106,type,
    sK167: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1107,type,
    sK168: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1108,type,
    sK169: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1109,type,
    sK170: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1110,type,
    sK171: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1111,type,
    sK172: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1112,type,
    sK173: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1113,type,
    sK174: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1114,type,
    sK175: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1115,type,
    sK176: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1116,type,
    sK177: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1117,type,
    sK178: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1118,type,
    sK179: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1119,type,
    sK180: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1120,type,
    sK181: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1121,type,
    sK182: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1122,type,
    sK183: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1123,type,
    sK184: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1124,type,
    sK185: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1125,type,
    sK186: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1126,type,
    sK187: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1127,type,
    sK188: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1128,type,
    sK189: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1129,type,
    sK190: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1130,type,
    sK191: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1131,type,
    sK192: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1132,type,
    sK193: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1133,type,
    sK194: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1134,type,
    sK195: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1135,type,
    sK196: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1136,type,
    sK197: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1137,type,
    sK198: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1138,type,
    sK199: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1139,type,
    sK200: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1140,type,
    sK201: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1141,type,
    sK202: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1142,type,
    sK203: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1143,type,
    sK204: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1144,type,
    sK205: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1145,type,
    sK206: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1146,type,
    sK207: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1147,type,
    sK209: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1148,type,
    sK210: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1149,type,
    sK211: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1150,type,
    sK212: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1151,type,
    sK214: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1152,type,
    sK215: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1153,type,
    sK216: fun(nat,$o) > nat ).

tff(func_def_1154,type,
    sK217: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1155,type,
    sK218: int > nat ).

tff(func_def_1156,type,
    sK219: int > int ).

tff(func_def_1157,type,
    sK220: fun(nat,$o) > nat ).

tff(func_def_1158,type,
    sK221: fun(nat,$o) > int ).

tff(func_def_1159,type,
    sK222: fun(nat,$o) > nat ).

tff(func_def_1160,type,
    sK223: fun(nat,$o) > int ).

tff(func_def_1161,type,
    sK224: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1162,type,
    sK225: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1163,type,
    sK226: ( fun(nat,$o) * int ) > nat ).

tff(func_def_1164,type,
    sK227: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1165,type,
    sK228: int > nat ).

tff(func_def_1166,type,
    sK229: int > nat ).

tff(func_def_1167,type,
    sK230: ( int * int ) > int ).

tff(func_def_1168,type,
    sK231: ( int * int ) > int ).

tff(func_def_1169,type,
    sK232: ( int * fun(int,$o) ) > int ).

tff(func_def_1170,type,
    sK233: ( int * fun(int,$o) ) > int ).

tff(func_def_1171,type,
    sK234: ( int * fun(int,$o) ) > int ).

tff(func_def_1172,type,
    sK235: ( int * fun(int,$o) ) > int ).

tff(func_def_1173,type,
    sK236: fun(int,$o) > int ).

tff(func_def_1174,type,
    sK237: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1175,type,
    sK238: ( int * fun(int,$o) ) > int ).

tff(func_def_1176,type,
    sK239: ( int * fun(int,$o) ) > int ).

tff(func_def_1177,type,
    sK240: fun(int,$o) > int ).

tff(func_def_1178,type,
    sK241: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1179,type,
    sK242: ( int * fun(int,$o) ) > int ).

tff(func_def_1180,type,
    sK243: ( nat * nat ) > nat ).

tff(func_def_1181,type,
    sK244: ( nat * nat ) > nat ).

tff(func_def_1182,type,
    sK245: ( nat * nat ) > nat ).

tff(func_def_1183,type,
    sK246: ( nat * nat ) > nat ).

tff(func_def_1184,type,
    sK247: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1185,type,
    sK248: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1186,type,
    sK249: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1187,type,
    sK250: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1188,type,
    sK251: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1189,type,
    sK256: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1190,type,
    sK257: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1191,type,
    sK258: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1192,type,
    sK259: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1193,type,
    sK260: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1194,type,
    sK265: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1195,type,
    sK266: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1196,type,
    sK267: ( nat * nat ) > nat ).

tff(func_def_1197,type,
    sK268: ( nat * nat ) > nat ).

tff(func_def_1198,type,
    sK269: ( nat * nat * nat ) > nat ).

tff(func_def_1199,type,
    sK270: ( nat * nat * nat ) > nat ).

tff(func_def_1200,type,
    sK271: ( nat * nat ) > nat ).

tff(func_def_1201,type,
    sK272: ( nat * nat ) > nat ).

tff(func_def_1202,type,
    sK273: ( nat * nat ) > nat ).

tff(func_def_1203,type,
    sK276: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1204,type,
    sK277: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1205,type,
    sK278: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1206,type,
    sK279: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1207,type,
    sK280: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1208,type,
    sK281: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1209,type,
    sK282: ( nat * nat ) > nat ).

tff(func_def_1210,type,
    sK283: ( nat * nat ) > nat ).

tff(func_def_1211,type,
    sK284: ( nat * nat ) > nat ).

tff(func_def_1212,type,
    sK285: ( nat * nat ) > nat ).

tff(func_def_1213,type,
    sK286: fun(nat,nat) > nat ).

tff(func_def_1214,type,
    sK287: fun(nat,nat) > nat ).

tff(func_def_1215,type,
    sK288: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1216,type,
    sK289: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1217,type,
    sK290: ( nat * nat ) > nat ).

tff(func_def_1218,type,
    sK291: ( nat * nat ) > nat ).

tff(func_def_1219,type,
    sK292: ( nat * nat ) > nat ).

tff(func_def_1220,type,
    sK293: ( int * fun(int,$o) ) > int ).

tff(func_def_1221,type,
    sK294: ( int * fun(int,$o) ) > int ).

tff(func_def_1222,type,
    sK295: ( int * int ) > nat ).

tff(func_def_1223,type,
    sK296: ( nat * nat * nat ) > nat ).

tff(func_def_1224,type,
    sK297: ( nat * nat * nat ) > nat ).

tff(func_def_1225,type,
    sK298: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1226,type,
    sK299: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1227,type,
    sK300: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1228,type,
    sK301: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1229,type,
    sK302: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1230,type,
    sK303: ( int * int ) > nat ).

tff(func_def_1231,type,
    sK304: ( fun(int,$o) * int ) > int ).

tff(func_def_1232,type,
    sK305: ( fun(int,$o) * int ) > int ).

tff(func_def_1233,type,
    sK306: ( nat * nat * nat ) > nat ).

tff(func_def_1234,type,
    sK307: ( nat * nat * nat ) > nat ).

tff(func_def_1235,type,
    sK308: ( nat * nat * nat ) > nat ).

tff(func_def_1236,type,
    sK309: ( int * fun(int,$o) ) > int ).

tff(func_def_1237,type,
    sK310: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1238,type,
    sK311: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1239,type,
    sK312: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1240,type,
    sK313: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1241,type,
    sK315: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1242,type,
    sK316: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1243,type,
    sK317: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1244,type,
    sK318: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1245,type,
    sK320: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_1246,type,
    sK321: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_1247,type,
    sK322: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_1248,type,
    sK323: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_1249,type,
    sK324: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1250,type,
    sK325: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1251,type,
    sK326: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1252,type,
    sK327: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1253,type,
    sK328: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1254,type,
    sK329: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1255,type,
    sK330: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1256,type,
    sK331: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1257,type,
    sK332: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1258,type,
    sK333: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_1259,type,
    sK334: ( nat * nat * fun(nat,int) ) > nat ).

tff(func_def_1260,type,
    sK335: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_1261,type,
    sK336: ( nat * fun(nat,int) ) > nat ).

tff(func_def_1262,type,
    sK337: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_1263,type,
    sK338: ( nat * fun(nat,int) ) > nat ).

tff(func_def_1264,type,
    sK339: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_1265,type,
    sK340: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1266,type,
    sK341: fun(nat,$o) > nat ).

tff(func_def_1267,type,
    sK342: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1268,type,
    sK343: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1269,type,
    sK344: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1270,type,
    sK345: 
      !>[X0: $tType] : ( fun(X0,$o) > int ) ).

tff(func_def_1271,type,
    sK346: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1272,type,
    sK347: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1273,type,
    sK348: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1274,type,
    sK349: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_1275,type,
    sK350: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_1276,type,
    sK351: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1277,type,
    sK352: ( int * fun(int,$o) ) > int ).

tff(func_def_1278,type,
    sK353: ( int * fun(int,$o) ) > int ).

tff(func_def_1279,type,
    sK354: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1280,type,
    sK360: fun(int,$o) > int ).

tff(func_def_1281,type,
    sK361: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1282,type,
    sK362: ( int * fun(int,$o) ) > int ).

tff(func_def_1283,type,
    sK363: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1284,type,
    sK364: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1285,type,
    sK365: ( int * fun(int,$o) ) > int ).

tff(func_def_1286,type,
    sK366: ( int * fun(int,$o) ) > int ).

tff(func_def_1287,type,
    sK367: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1288,type,
    sK373: fun(int,$o) > int ).

tff(func_def_1289,type,
    sK374: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1290,type,
    sK375: ( int * fun(int,$o) ) > int ).

tff(func_def_1291,type,
    sK376: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_1292,type,
    sK377: ( int * set(int) * int ) > int ).

tff(func_def_1293,type,
    sK378: ( int * set(int) * int ) > int ).

tff(func_def_1294,type,
    sK379: ( int * set(int) * int ) > int ).

tff(func_def_1295,type,
    sK380: ( int * set(int) * int ) > int ).

tff(func_def_1296,type,
    sK381: ( int * set(int) * int ) > int ).

tff(func_def_1297,type,
    sK382: ( int * set(int) * int ) > int ).

tff(func_def_1298,type,
    sK383: fun(num,$o) > num ).

tff(func_def_1299,type,
    sK384: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1300,type,
    sK385: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1301,type,
    sK387: ( int * set(int) * int ) > int ).

tff(func_def_1302,type,
    sK388: ( int * set(int) * int ) > int ).

tff(func_def_1303,type,
    sK389: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1304,type,
    sK390: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1305,type,
    sK392: ( int * set(int) * int ) > int ).

tff(func_def_1306,type,
    sK393: ( int * set(int) * int ) > int ).

tff(func_def_1307,type,
    sK394: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1308,type,
    sK395: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1309,type,
    sK397: ( int * set(int) * int ) > int ).

tff(func_def_1310,type,
    sK398: ( int * set(int) * int ) > int ).

tff(func_def_1311,type,
    sK399: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1312,type,
    sK400: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1313,type,
    sK402: ( int * set(int) * int ) > int ).

tff(func_def_1314,type,
    sK403: ( int * set(int) * int ) > int ).

tff(func_def_1315,type,
    sK404: ( int * set(int) * int ) > int ).

tff(func_def_1316,type,
    sK405: ( int * set(int) * int ) > int ).

tff(func_def_1317,type,
    sK406: ( int * set(int) * int ) > int ).

tff(func_def_1318,type,
    sK407: ( int * set(int) * int ) > int ).

tff(func_def_1319,type,
    sK408: ( int * set(int) * int ) > int ).

tff(func_def_1320,type,
    sK409: ( int * set(int) * int ) > int ).

tff(func_def_1321,type,
    sK410: ( int * set(int) * int ) > int ).

tff(func_def_1322,type,
    sK411: ( int * set(int) * int ) > int ).

tff(func_def_1323,type,
    sK412: ( int * fun(int,$o) ) > int ).

tff(func_def_1324,type,
    sK413: ( int * fun(int,$o) ) > int ).

tff(func_def_1325,type,
    sK414: fun(int,$o) > int ).

tff(func_def_1326,type,
    sK415: ( int * fun(int,$o) ) > int ).

tff(func_def_1327,type,
    sK416: ( int * set(int) * int ) > int ).

tff(func_def_1328,type,
    sK417: ( int * set(int) * int ) > int ).

tff(func_def_1329,type,
    sK418: ( int * set(int) * int ) > int ).

tff(func_def_1330,type,
    sK419: ( int * set(int) * int ) > int ).

tff(func_def_1331,type,
    sK420: ( int * set(int) * int ) > int ).

tff(func_def_1332,type,
    sK421: ( int * set(int) * int ) > int ).

tff(func_def_1333,type,
    sK422: ( int * set(int) * int ) > int ).

tff(func_def_1334,type,
    sK423: ( int * set(int) * int ) > int ).

tff(func_def_1335,type,
    sK424: ( int * set(int) * int ) > int ).

tff(func_def_1336,type,
    sK425: ( int * set(int) * int ) > int ).

tff(func_def_1337,type,
    sK426: ( int * set(int) * int ) > int ).

tff(func_def_1338,type,
    sK427: ( int * set(int) * int ) > int ).

tff(func_def_1339,type,
    sK428: ( int * set(int) * int ) > int ).

tff(func_def_1340,type,
    sK429: ( int * set(int) * int ) > int ).

tff(func_def_1341,type,
    sK430: ( int * set(int) * int ) > int ).

tff(func_def_1342,type,
    sK431: ( int * set(int) * int ) > int ).

tff(func_def_1343,type,
    sK432: ( int * set(int) * int ) > int ).

tff(func_def_1344,type,
    sK433: ( int * set(int) * int ) > int ).

tff(func_def_1345,type,
    sK434: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1346,type,
    sK435: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1347,type,
    sK436: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1348,type,
    sK437: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1349,type,
    sK438: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1350,type,
    sK439: fun(nat,$o) > nat ).

tff(func_def_1351,type,
    sK440: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1352,type,
    sK441: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1353,type,
    sK442: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1354,type,
    sK444: fun(nat,$o) > nat ).

tff(func_def_1355,type,
    sK445: fun(nat,$o) > nat ).

tff(func_def_1356,type,
    sK446: fun(int,$o) > int ).

tff(func_def_1357,type,
    sK447: fun(int,$o) > int ).

tff(func_def_1358,type,
    sK448: ( nat * nat ) > nat ).

tff(func_def_1359,type,
    sK449: ( nat * nat ) > nat ).

tff(func_def_1360,type,
    sK450: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1361,type,
    sK451: num > num ).

tff(func_def_1362,type,
    sK452: num > num ).

tff(func_def_1363,type,
    sK453: int > nat ).

tff(func_def_1364,type,
    sK454: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1365,type,
    sK455: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_1366,type,
    sK456: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1367,type,
    sK457: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_1368,type,
    sK458: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_1369,type,
    sK459: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_1370,type,
    sK460: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1371,type,
    sK461: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1372,type,
    sK462: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_1373,type,
    sK463: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_1374,type,
    sK464: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_1375,type,
    sK465: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1376,type,
    sK466: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_1377,type,
    sK467: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1378,type,
    sK468: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1379,type,
    sK469: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1380,type,
    sK470: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1381,type,
    sK471: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1382,type,
    sK472: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1383,type,
    sK473: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1384,type,
    sK474: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1385,type,
    sK475: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1386,type,
    sK476: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1387,type,
    sK477: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1388,type,
    sK478: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_1389,type,
    sK480: fun(int,fun(int,$o)) > int ).

tff(func_def_1390,type,
    sK481: fun(int,fun(int,$o)) > int ).

tff(func_def_1391,type,
    sK482: fun(int,fun(int,$o)) > int ).

tff(func_def_1392,type,
    sK483: fun(int,fun(int,$o)) > int ).

tff(func_def_1393,type,
    sK484: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1394,type,
    sK485: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1395,type,
    sK486: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1396,type,
    sK487: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1397,type,
    sK488: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1398,type,
    sK489: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1399,type,
    sK490: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1400,type,
    sK491: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1401,type,
    sK492: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1402,type,
    sK493: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1403,type,
    sK494: 
      !>[X0: $tType] : nat ).

tff(func_def_1404,type,
    sK495: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_1405,type,
    sK496: 
      !>[X0: $tType] : nat ).

tff(func_def_1406,type,
    sK497: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_1407,type,
    sK498: product_prod(nat,nat) > nat ).

tff(func_def_1408,type,
    sK499: product_prod(nat,nat) > nat ).

tff(func_def_1409,type,
    sK500: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_1410,type,
    sK501: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_1411,type,
    sK502: ( nat * nat ) > nat ).

tff(func_def_1412,type,
    sK503: ( nat * nat ) > nat ).

tff(func_def_1413,type,
    sK504: ( nat * nat ) > nat ).

tff(func_def_1414,type,
    sK505: ( nat * nat ) > nat ).

tff(func_def_1415,type,
    sK506: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1416,type,
    sK507: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1417,type,
    sK508: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1418,type,
    sK509: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_1419,type,
    sK510: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1420,type,
    sK511: ( list(nat) * nat ) > nat ).

tff(func_def_1421,type,
    sK512: ( list(nat) * nat ) > list(nat) ).

tff(func_def_1422,type,
    sK513: list(nat) > nat ).

tff(func_def_1423,type,
    sK514: list(nat) > list(nat) ).

tff(func_def_1424,type,
    sK515: ( int * int ) > int ).

tff(func_def_1425,type,
    sK516: ( int * int ) > int ).

tff(func_def_1426,type,
    sK520: ( int * int * int ) > int ).

tff(func_def_1427,type,
    sK521: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1428,type,
    sK522: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_1429,type,
    sK523: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_1430,type,
    sK524: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1431,type,
    sK525: ( list(nat) * nat ) > nat ).

tff(func_def_1432,type,
    sK526: ( list(nat) * nat ) > list(nat) ).

tff(func_def_1433,type,
    sK527: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_1434,type,
    sK528: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1435,type,
    sK529: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1436,type,
    sK530: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1437,type,
    sK531: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1438,type,
    sK532: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1439,type,
    sK533: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1440,type,
    sK534: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1441,type,
    sK535: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1442,type,
    sK536: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1443,type,
    sK537: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_1444,type,
    sK538: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1445,type,
    sK539: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1446,type,
    sK540: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1447,type,
    sK541: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1448,type,
    sK542: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_1449,type,
    sK543: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1450,type,
    sK544: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1451,type,
    sK545: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1452,type,
    sK546: set(nat) > nat ).

tff(func_def_1453,type,
    sK547: ( set(nat) * nat ) > nat ).

tff(func_def_1454,type,
    sK548: ( set(nat) * nat ) > nat ).

tff(func_def_1455,type,
    sK549: set(nat) > nat ).

tff(func_def_1456,type,
    sK550: ( set(nat) * nat ) > nat ).

tff(func_def_1457,type,
    sK551: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1458,type,
    sK552: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1459,type,
    sK553: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1460,type,
    sK554: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1461,type,
    sK555: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1462,type,
    sK556: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1463,type,
    sK557: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1464,type,
    sK558: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1465,type,
    sK559: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1466,type,
    sK560: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1467,type,
    sK561: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1468,type,
    sK562: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1469,type,
    sK563: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1470,type,
    sK564: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1471,type,
    sK565: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1472,type,
    sK566: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1473,type,
    sK567: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1474,type,
    sK568: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1475,type,
    sK569: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1476,type,
    sK570: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1477,type,
    sK571: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1478,type,
    sK572: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1479,type,
    sK573: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_1480,type,
    sK574: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1481,type,
    sK575: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1482,type,
    sK576: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1483,type,
    sK577: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_1484,type,
    sK578: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_1485,type,
    sK579: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1486,type,
    sK580: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_1487,type,
    sK581: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1488,type,
    sK582: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1489,type,
    sK583: 
      !>[X0: $tType] : X0 ).

tff(func_def_1490,type,
    sK584: 
      !>[X0: $tType] : X0 ).

tff(func_def_1491,type,
    sK585: 
      !>[X0: $tType] : X0 ).

tff(func_def_1492,type,
    sK586: 
      !>[X0: $tType] : X0 ).

tff(func_def_1493,type,
    sK587: 
      !>[X0: $tType] : X0 ).

tff(func_def_1494,type,
    sK588: 
      !>[X0: $tType] : X0 ).

tff(func_def_1495,type,
    sK589: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1496,type,
    sK590: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1497,type,
    sK591: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1498,type,
    sK592: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1499,type,
    sK593: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1500,type,
    sK594: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1501,type,
    sK595: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1502,type,
    sK596: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1503,type,
    sK597: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1504,type,
    sK598: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1505,type,
    sK599: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1506,type,
    sK600: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1507,type,
    sK601: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1508,type,
    sK602: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1509,type,
    sK603: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1510,type,
    sK604: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1511,type,
    sK605: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1512,type,
    sK606: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1513,type,
    sK607: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1514,type,
    sK608: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1515,type,
    sK609: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1516,type,
    sK610: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1517,type,
    sK611: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1518,type,
    sK612: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1519,type,
    sK613: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1520,type,
    sK614: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1521,type,
    sK615: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1522,type,
    sK616: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1523,type,
    sK617: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1524,type,
    sK618: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_1525,type,
    sK619: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_1526,type,
    sK620: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1527,type,
    sK621: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1528,type,
    sK622: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1529,type,
    sK623: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1530,type,
    sK627: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1531,type,
    sK628: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1532,type,
    sK629: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1533,type,
    sK630: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1534,type,
    sK631: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1535,type,
    sK632: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1536,type,
    sK633: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1537,type,
    sK634: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1538,type,
    sK635: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1539,type,
    sK636: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1540,type,
    sK637: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1541,type,
    sK638: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1542,type,
    sK639: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1543,type,
    sK640: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1544,type,
    sK641: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1545,type,
    sK642: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1546,type,
    sK643: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1547,type,
    sK644: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1548,type,
    sK645: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1549,type,
    sK646: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1550,type,
    sK647: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1551,type,
    sK648: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_1552,type,
    sK649: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_1553,type,
    sK650: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_1554,type,
    sK651: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1555,type,
    sK652: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1556,type,
    sK653: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1557,type,
    sK654: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1558,type,
    sK655: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1559,type,
    sK656: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1560,type,
    sK657: fun(nat,nat) > nat ).

tff(func_def_1561,type,
    sK658: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1562,type,
    sK659: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1563,type,
    sK660: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1564,type,
    sK661: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1565,type,
    sK662: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1566,type,
    sK663: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_1567,type,
    sK664: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_1568,type,
    sK665: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1569,type,
    sK666: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1570,type,
    sK667: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1571,type,
    sK668: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1572,type,
    sK669: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1573,type,
    sK670: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1574,type,
    sK671: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1575,type,
    sK672: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1576,type,
    sK673: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1577,type,
    sK674: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1578,type,
    sK675: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1579,type,
    sK676: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1580,type,
    sK677: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1581,type,
    sK678: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1582,type,
    sK679: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1583,type,
    sK680: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1584,type,
    sK681: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1585,type,
    sK682: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1586,type,
    sK683: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1587,type,
    sK684: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_1588,type,
    sK685: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_1589,type,
    sK686: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1590,type,
    sK687: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1591,type,
    sK688: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1592,type,
    sK689: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1593,type,
    sK693: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1594,type,
    sK694: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1595,type,
    sK695: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1596,type,
    sK696: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1597,type,
    sK697: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1598,type,
    sK698: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1599,type,
    sK699: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1600,type,
    sK700: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1601,type,
    sK701: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1602,type,
    sK702: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1603,type,
    sK703: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1604,type,
    sK704: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1605,type,
    sK705: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1606,type,
    sK706: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1607,type,
    sK707: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1608,type,
    sK708: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1609,type,
    sK709: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1610,type,
    sK710: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1611,type,
    sK711: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1612,type,
    sK712: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1613,type,
    sK713: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1614,type,
    sK714: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1615,type,
    sK715: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1616,type,
    sK716: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1617,type,
    sK717: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1618,type,
    sK718: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1619,type,
    sK719: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_1620,type,
    sK720: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1621,type,
    sK721: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1622,type,
    sK722: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_1623,type,
    sK723: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_1624,type,
    sK724: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1625,type,
    sK725: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_1626,type,
    sK726: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * nat ) > X1 ) ).

tff(func_def_1627,type,
    sK727: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1628,type,
    sK728: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_1629,type,
    sK729: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1630,type,
    sK730: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1631,type,
    sK731: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_1632,type,
    sK732: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_1633,type,
    sK733: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1634,type,
    sK734: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1635,type,
    sK735: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1636,type,
    sK736: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1637,type,
    sK737: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1638,type,
    sK738: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1639,type,
    sK739: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1640,type,
    sK740: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1641,type,
    sK741: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1642,type,
    sK742: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1643,type,
    sK743: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1644,type,
    sK744: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1645,type,
    sK745: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1646,type,
    sK746: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1647,type,
    sK747: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1648,type,
    sK748: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1649,type,
    sK749: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1650,type,
    sK750: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1651,type,
    sK751: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1652,type,
    sK752: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1653,type,
    sK753: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1654,type,
    sK754: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1655,type,
    sK755: code_integer > int ).

tff(func_def_1656,type,
    sK756: fun(code_integer,$o) > int ).

tff(func_def_1657,type,
    sK757: int > code_integer ).

tff(func_def_1658,type,
    sK758: fun(int,$o) > code_integer ).

tff(func_def_1659,type,
    sK759: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1660,type,
    sK760: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_1661,type,
    sK761: 
      !>[X0: $tType] : ( ( nat * list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1662,type,
    sK762: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1663,type,
    sK763: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1664,type,
    sK764: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1665,type,
    sK765: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1666,type,
    sK766: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1667,type,
    sK767: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1668,type,
    sK768: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_1669,type,
    sK769: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_1670,type,
    sK770: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_1671,type,
    sK771: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1672,type,
    sK772: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1673,type,
    sK773: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1674,type,
    sK774: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1675,type,
    sK775: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1676,type,
    sK776: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1677,type,
    sK777: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_1678,type,
    sK778: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1679,type,
    sK779: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1680,type,
    sK780: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1681,type,
    sK781: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1682,type,
    sK782: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1683,type,
    sK783: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1684,type,
    sK784: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1685,type,
    sK785: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1686,type,
    sK786: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_1687,type,
    sK787: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1688,type,
    sK788: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1689,type,
    sK789: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1690,type,
    sK790: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1691,type,
    sK791: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1692,type,
    sK792: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1693,type,
    sK793: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1694,type,
    sK794: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1695,type,
    sK795: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1696,type,
    sK796: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1697,type,
    sK797: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1698,type,
    sK798: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1699,type,
    sK799: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_1700,type,
    sK800: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_1701,type,
    sK801: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1702,type,
    sK802: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_1703,type,
    sK803: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1704,type,
    sK804: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1705,type,
    sK805: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_1706,type,
    sK806: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_1707,type,
    sK807: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_1708,type,
    sK808: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1709,type,
    sK809: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1710,type,
    sK810: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1711,type,
    sK811: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1712,type,
    sK812: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1713,type,
    sK813: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1714,type,
    sK814: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1715,type,
    sK815: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1716,type,
    sK816: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1717,type,
    sK817: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1718,type,
    sK818: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1719,type,
    sK819: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_1720,type,
    sK820: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1721,type,
    sK821: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1722,type,
    sK822: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1723,type,
    sK823: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1724,type,
    sK824: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_1725,type,
    sK825: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1726,type,
    sK826: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_1727,type,
    sK827: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1728,type,
    sK828: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_1729,type,
    sK829: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_1730,type,
    sK830: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1731,type,
    sK831: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1732,type,
    sK832: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1733,type,
    sK833: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1734,type,
    sK834: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1735,type,
    sK835: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1736,type,
    sK836: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1737,type,
    sK837: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1738,type,
    sK838: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1739,type,
    sK839: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1740,type,
    sK840: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1741,type,
    sK841: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1742,type,
    sK842: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1743,type,
    sK843: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1744,type,
    sK844: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1745,type,
    sK845: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1746,type,
    sK846: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1747,type,
    sK847: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1748,type,
    sK848: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1749,type,
    sK849: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1750,type,
    sK850: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_1751,type,
    sK851: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1752,type,
    sK852: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1753,type,
    sK853: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1754,type,
    sK854: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1755,type,
    sK855: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1756,type,
    sK856: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1757,type,
    sK857: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1758,type,
    sK858: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1759,type,
    sK859: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_1760,type,
    sK860: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1761,type,
    sK861: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_1762,type,
    sK862: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1763,type,
    sK863: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_1764,type,
    sK864: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1765,type,
    sK865: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_1766,type,
    sK866: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1767,type,
    sK867: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1768,type,
    sK868: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1769,type,
    sK869: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1770,type,
    sK870: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1771,type,
    sK871: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1772,type,
    sK872: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1773,type,
    sK873: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_1774,type,
    sK874: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_1775,type,
    sK875: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_1776,type,
    sK876: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1777,type,
    sK877: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1778,type,
    sK878: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1779,type,
    sK879: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1780,type,
    sK880: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_1781,type,
    sK881: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_1782,type,
    sK882: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_1783,type,
    sK883: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(X0,nat) ) ).

tff(func_def_1784,type,
    sK884: fun(int,$o) > product_prod(nat,nat) ).

tff(func_def_1785,type,
    sK885: int > nat ).

tff(func_def_1786,type,
    sK886: int > nat ).

tff(func_def_1787,type,
    sK887: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1788,type,
    sK888: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_1789,type,
    sK889: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1790,type,
    sK890: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1791,type,
    sK891: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1792,type,
    sK892: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1793,type,
    sK893: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1794,type,
    sK894: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1795,type,
    sK895: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1796,type,
    sK896: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1797,type,
    sK897: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1798,type,
    sK898: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1799,type,
    sK899: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1800,type,
    sK900: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1801,type,
    sK901: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1802,type,
    sK902: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1803,type,
    sK903: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1804,type,
    sK904: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1805,type,
    sK905: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1806,type,
    sK906: 
      !>[X0: $tType] : X0 ).

tff(func_def_1807,type,
    sK907: 
      !>[X0: $tType] : X0 ).

tff(func_def_1808,type,
    sK908: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1809,type,
    sK909: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1810,type,
    sK910: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1811,type,
    sK911: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1812,type,
    sK912: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1813,type,
    sK913: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1814,type,
    sK914: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1815,type,
    sK915: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1816,type,
    sK916: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1817,type,
    sK917: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1818,type,
    sK918: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1819,type,
    sK919: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1820,type,
    sK920: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1821,type,
    sK921: 
      !>[X0: $tType] : X0 ).

tff(func_def_1822,type,
    sK922: 
      !>[X0: $tType] : X0 ).

tff(func_def_1823,type,
    sK923: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1824,type,
    sK924: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1825,type,
    sK925: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1826,type,
    sK926: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1827,type,
    sK927: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1828,type,
    sK928: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1829,type,
    sK929: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_ext(product_unit) ) ).

tff(func_def_1830,type,
    sK930: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1831,type,
    sK931: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1832,type,
    sK932: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1833,type,
    sK933: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1834,type,
    sK934: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1835,type,
    sK935: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1836,type,
    sK936: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1837,type,
    sK937: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1838,type,
    sK938: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_1839,type,
    sK939: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1840,type,
    sK940: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_1841,type,
    sK941: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_1842,type,
    sK942: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_1843,type,
    sK943: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_1844,type,
    sK944: 
      !>[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_1845,type,
    sK945: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,heap_Time_Heap(X0)) * fun(X1,heap_Time_Heap(X0)) ) > X1 ) ).

tff(func_def_1846,type,
    sK946: 
      !>[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_1847,type,
    sK947: 
      !>[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_1848,type,
    sK948: 
      !>[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_1849,type,
    sK949: 
      !>[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_1850,type,
    sK950: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1851,type,
    sK951: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_1852,type,
    sK952: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > nat ) ).

tff(func_def_1853,type,
    sK953: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1854,type,
    sK954: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_1855,type,
    sK955: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).

tff(func_def_1856,type,
    sK956: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).

tff(func_def_1857,type,
    sK957: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_1858,type,
    sK958: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > X0 ) ).

tff(func_def_1859,type,
    sK959: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > heap_ext(product_unit) ) ).

tff(func_def_1860,type,
    sK960: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_1861,type,
    sK961: 
      !>[X0: $tType] : ( product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > nat ) ).

tff(func_def_1862,type,
    sK962: 
      !>[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_1863,type,
    sK963: 
      !>[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_1864,type,
    sK964: 
      !>[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_1865,type,
    sK965: 
      !>[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_1866,type,
    sK966: 
      !>[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_1867,type,
    sK967: 
      !>[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_1868,type,
    sK968: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1869,type,
    sK969: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1870,type,
    sK970: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1871,type,
    sK971: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1872,type,
    sK972: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1873,type,
    sK973: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1874,type,
    sK974: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1875,type,
    sK975: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1876,type,
    sK976: 
      !>[X0: $tType] : X0 ).

tff(func_def_1877,type,
    sK977: 
      !>[X0: $tType] : X0 ).

tff(func_def_1878,type,
    sK978: 
      !>[X0: $tType] : X0 ).

tff(func_def_1879,type,
    sK979: 
      !>[X0: $tType] : X0 ).

tff(func_def_1880,type,
    sK980: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_1881,type,
    sK981: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_1882,type,
    sK982: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1883,type,
    sK983: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1884,type,
    sK984: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1885,type,
    sK985: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1886,type,
    sK986: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1887,type,
    sK987: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1888,type,
    sK988: ( set(nat) * nat ) > nat ).

tff(func_def_1889,type,
    sK989: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_1890,type,
    sK990: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_1891,type,
    sK991: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1892,type,
    sK992: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1893,type,
    sK993: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_1894,type,
    sK994: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1895,type,
    sK995: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_1896,type,
    sK996: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1897,type,
    sK997: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1898,type,
    sK998: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_1899,type,
    sK999: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_1900,type,
    sK1000: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_1901,type,
    sK1001: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1902,type,
    sK1002: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1903,type,
    sK1003: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1904,type,
    sK1004: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1905,type,
    sK1005: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1906,type,
    sK1006: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_1907,type,
    sK1007: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1908,type,
    sK1008: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1909,type,
    sK1009: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1910,type,
    sK1010: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > fun(X0,product_prod(X1,X0)) ) ).

tff(func_def_1911,type,
    sK1011: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * set(X0) * fun(X1,nat) * set(X1) ) > X0 ) ).

tff(func_def_1912,type,
    sK1012: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * set(X0) * fun(X1,nat) * set(X1) ) > X1 ) ).

tff(func_def_1913,type,
    sK1013: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1914,type,
    sK1014: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1915,type,
    sK1015: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1916,type,
    sK1016: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1917,type,
    sK1017: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1918,type,
    sK1018: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1919,type,
    sK1019: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1920,type,
    sK1020: rat > int ).

tff(func_def_1921,type,
    sK1021: rat > int ).

tff(func_def_1922,type,
    sK1022: fun(rat,$o) > int ).

tff(func_def_1923,type,
    sK1023: fun(rat,$o) > int ).

tff(func_def_1924,type,
    sK1024: fun(rat,$o) > int ).

tff(func_def_1925,type,
    sK1025: fun(rat,$o) > int ).

tff(func_def_1926,type,
    sK1026: rat > int ).

tff(func_def_1927,type,
    sK1027: rat > int ).

tff(func_def_1928,type,
    sK1028: rat > product_prod(int,int) ).

tff(func_def_1929,type,
    sK1029: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1930,type,
    sK1030: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1931,type,
    sK1031: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_1932,type,
    sK1032: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > nat ) ).

tff(func_def_1933,type,
    sK1033: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1934,type,
    sK1034: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1935,type,
    sK1035: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1936,type,
    sK1036: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1937,type,
    sK1037: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1938,type,
    sK1038: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1939,type,
    sK1039: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1940,type,
    sK1040: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1941,type,
    sK1041: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1942,type,
    sK1042: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1943,type,
    sK1043: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1944,type,
    sK1044: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1945,type,
    sK1045: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1946,type,
    sK1046: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1947,type,
    sK1047: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1948,type,
    sK1048: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1949,type,
    sK1049: ( nat * list(nat) ) > nat ).

tff(func_def_1950,type,
    sK1050: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_1951,type,
    sK1051: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_1952,type,
    sK1052: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1953,type,
    sK1053: ( nat * list(nat) ) > nat ).

tff(func_def_1954,type,
    sK1054: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1955,type,
    sK1055: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_1956,type,
    sK1056: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1957,type,
    sK1057: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1958,type,
    sK1058: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1959,type,
    sK1059: fun(nat,$o) > nat ).

tff(func_def_1960,type,
    sK1060: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1961,type,
    sK1061: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1962,type,
    sK1062: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1963,type,
    sK1063: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1964,type,
    sK1064: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1965,type,
    sK1065: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_1966,type,
    sK1066: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1967,type,
    sK1067: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1968,type,
    sK1068: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1969,type,
    sK1069: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1970,type,
    sK1070: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1971,type,
    sK1071: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1972,type,
    sK1072: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1973,type,
    sK1073: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1974,type,
    sK1074: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1975,type,
    sK1075: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1976,type,
    sK1076: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1977,type,
    sK1077: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_1978,type,
    sK1078: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_1979,type,
    sK1079: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1980,type,
    sK1080: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1981,type,
    sK1081: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1982,type,
    sK1082: 
      !>[X0: $tType] : X0 ).

tff(func_def_1983,type,
    sK1083: 
      !>[X0: $tType] : X0 ).

tff(func_def_1984,type,
    sK1084: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_1985,type,
    sK1085: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_1986,type,
    sK1086: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_1987,type,
    sK1087: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_1988,type,
    sK1088: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_1989,type,
    sK1089: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_1990,type,
    sK1090: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_1991,type,
    sK1091: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_1992,type,
    sK1092: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_1993,type,
    sK1093: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1994,type,
    sK1094: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1995,type,
    sK1095: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1996,type,
    sK1096: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1997,type,
    sK1097: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1998,type,
    sK1098: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1999,type,
    sK1099: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2000,type,
    sK1100: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2001,type,
    sK1101: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2002,type,
    sK1102: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2003,type,
    sK1103: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2004,type,
    sK1104: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2005,type,
    sK1105: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2006,type,
    sK1106: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2007,type,
    sK1107: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2008,type,
    sK1108: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2009,type,
    sK1109: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2010,type,
    sK1110: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2011,type,
    sK1111: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2012,type,
    sK1113: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2013,type,
    sK1114: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2014,type,
    sK1115: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2015,type,
    sK1116: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2016,type,
    sK1117: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2017,type,
    sK1118: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2018,type,
    sK1119: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2019,type,
    sK1120: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2020,type,
    sK1121: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2021,type,
    sK1124: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2022,type,
    sK1125: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2023,type,
    sK1126: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2024,type,
    sK1127: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2025,type,
    sK1128: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2026,type,
    sK1129: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2027,type,
    sK1130: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2028,type,
    sK1131: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2029,type,
    sK1132: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2030,type,
    sK1133: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_2031,type,
    sK1134: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2032,type,
    sK1135: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2033,type,
    sK1136: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2034,type,
    sK1137: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2035,type,
    sK1138: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2036,type,
    sK1139: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2037,type,
    sK1140: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2038,type,
    sK1151: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2039,type,
    sK1152: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2040,type,
    sK1153: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2041,type,
    sK1154: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2042,type,
    sK1155: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2043,type,
    sK1156: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2044,type,
    sK1157: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2045,type,
    sK1158: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2046,type,
    sK1159: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2047,type,
    sK1160: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2048,type,
    sK1161: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_2049,type,
    sK1162: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2050,type,
    sK1163: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2051,type,
    sK1164: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2052,type,
    sK1165: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2053,type,
    sK1166: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2054,type,
    sK1167: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2055,type,
    sK1168: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2056,type,
    sK1169: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2057,type,
    sK1170: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2058,type,
    sK1171: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2059,type,
    sK1172: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2060,type,
    sK1173: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2061,type,
    sK1174: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2062,type,
    sK1175: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2063,type,
    sK1176: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2064,type,
    sK1177: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2065,type,
    sK1178: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2066,type,
    sK1179: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2067,type,
    sK1180: ( fun(nat,$o) * fun(nat,$o) ) > nat ).

tff(func_def_2068,type,
    sK1181: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2069,type,
    sK1182: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2070,type,
    sK1183: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(fun(X0,X1),X2) * X2 ) > fun(X0,X1) ) ).

tff(func_def_2071,type,
    sK1184: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X1 ) ).

tff(func_def_2072,type,
    sK1185: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2073,type,
    sK1186: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2074,type,
    sK1187: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2075,type,
    sK1188: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_2076,type,
    sK1189: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X0 ) ).

tff(func_def_2077,type,
    sK1190: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2078,type,
    sK1191: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_2079,type,
    sK1192: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2080,type,
    sK1193: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2081,type,
    sK1194: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2082,type,
    sK1195: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2083,type,
    sK1196: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2084,type,
    sK1197: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2085,type,
    sK1198: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2086,type,
    sK1199: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2087,type,
    sK1200: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2088,type,
    sK1201: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2089,type,
    sK1202: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_2090,type,
    sK1203: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2091,type,
    sK1204: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_2092,type,
    sK1205: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2093,type,
    sK1206: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_2094,type,
    sK1207: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2095,type,
    sK1208: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_2096,type,
    sK1209: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2097,type,
    sK1210: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_2098,type,
    sK1211: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2099,type,
    sK1212: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_2100,type,
    sK1213: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2101,type,
    sK1214: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_2102,type,
    sK1215: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2103,type,
    sK1216: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2104,type,
    sK1217: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2105,type,
    sK1218: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_2106,type,
    sK1219: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2107,type,
    sK1220: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2108,type,
    sK1221: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2109,type,
    sK1222: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_2110,type,
    sK1223: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_2111,type,
    sK1228: ( int * int * int ) > int ).

tff(func_def_2112,type,
    sK1229: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2113,type,
    sK1230: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2114,type,
    sK1231: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2115,type,
    sK1232: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2116,type,
    sK1233: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2117,type,
    sK1234: set(nat) > nat ).

tff(func_def_2118,type,
    sK1235: set(nat) > nat ).

tff(func_def_2119,type,
    sK1236: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2120,type,
    sK1237: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2121,type,
    sK1238: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2122,type,
    sK1239: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2123,type,
    sK1240: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2124,type,
    sK1241: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2125,type,
    sK1242: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2126,type,
    sK1243: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2127,type,
    sK1244: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2128,type,
    sK1245: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2129,type,
    sK1246: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2130,type,
    sK1247: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2131,type,
    sK1248: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2132,type,
    sK1249: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2133,type,
    sK1250: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2134,type,
    sK1251: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2135,type,
    sK1252: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2136,type,
    sK1253: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_2137,type,
    sK1254: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_2138,type,
    sK1255: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_2139,type,
    sK1256: fun(nat,$o) > code_natural ).

tff(func_def_2140,type,
    sK1257: nat > code_natural ).

tff(func_def_2141,type,
    sK1258: code_natural > nat ).

tff(func_def_2142,type,
    sK1259: fun(code_natural,$o) > nat ).

tff(func_def_2143,type,
    sK1260: code_natural > code_natural ).

tff(func_def_2144,type,
    sK1261: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2145,type,
    sK1262: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_2146,type,
    sK1263: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_2147,type,
    sK1264: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > X0 ) ).

tff(func_def_2148,type,
    sK1265: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2149,type,
    sK1266: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2150,type,
    sK1267: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2151,type,
    sK1268: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2152,type,
    sK1269: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_2153,type,
    sK1270: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2154,type,
    sK1271: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2155,type,
    sK1272: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2156,type,
    sK1273: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2157,type,
    sK1274: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2158,type,
    sK1275: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2159,type,
    sK1276: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2160,type,
    sK1277: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2161,type,
    sK1278: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2162,type,
    sK1279: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2163,type,
    sK1280: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2164,type,
    sK1281: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2165,type,
    sK1282: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2166,type,
    sK1284: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2167,type,
    sK1285: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2168,type,
    sK1286: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2169,type,
    sK1287: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2170,type,
    sK1288: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2171,type,
    sK1289: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2172,type,
    sK1290: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2173,type,
    sK1291: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2174,type,
    sK1292: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2175,type,
    sK1293: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2176,type,
    sK1294: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2177,type,
    sK1295: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_2178,type,
    sK1296: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2179,type,
    sK1297: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2180,type,
    sK1298: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2181,type,
    sK1299: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_2182,type,
    sK1300: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2183,type,
    sK1301: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2184,type,
    sK1302: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2185,type,
    sK1303: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2186,type,
    sK1304: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2187,type,
    sK1305: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2188,type,
    sK1306: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_2189,type,
    sK1307: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2190,type,
    sK1308: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X0 ) ).

tff(func_def_2191,type,
    sK1309: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_2192,type,
    sK1310: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_2193,type,
    sK1311: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_2194,type,
    sK1312: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_2195,type,
    sK1313: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_2196,type,
    sK1314: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_2197,type,
    sK1315: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_2198,type,
    sK1316: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2199,type,
    sK1317: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_2200,type,
    sK1318: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2201,type,
    sK1319: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_2202,type,
    sK1320: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > set(X0) ) ).

tff(func_def_2203,type,
    sK1321: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_2204,type,
    sK1322: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2205,type,
    sK1323: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2206,type,
    sK1324: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2207,type,
    sK1325: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2208,type,
    sK1326: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2209,type,
    sK1327: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2210,type,
    sK1328: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > X0 ) ).

tff(func_def_2211,type,
    sK1329: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > X0 ) ).

tff(func_def_2212,type,
    sK1330: 
      !>[X0: $tType] : ( ( nat * fun(nat,sum_sum(X0,nat)) ) > nat ) ).

tff(func_def_2213,type,
    sK1331: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2214,type,
    sK1332: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2215,type,
    sK1333: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2216,type,
    sK1334: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2217,type,
    sK1335: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2218,type,
    sK1336: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2219,type,
    sK1337: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2220,type,
    sK1338: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2221,type,
    sK1341: 
      !>[X0: $tType] : ( ( nat * set(old_node(X0,product_unit)) ) > nat ) ).

tff(func_def_2222,type,
    sK1342: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2223,type,
    sK1343: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2224,type,
    sK1344: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2225,type,
    sK1345: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2226,type,
    sK1346: 
      !>[X0: $tType] : ( ( nat * set(old_node(X0,product_unit)) ) > nat ) ).

tff(func_def_2227,type,
    sK1347: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2228,type,
    sK1348: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2229,type,
    sK1349: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2230,type,
    sK1350: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2231,type,
    sK1351: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2232,type,
    sK1352: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2233,type,
    sK1353: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2234,type,
    sK1354: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2235,type,
    sK1355: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2236,type,
    sK1356: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2237,type,
    sK1357: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2238,type,
    sK1358: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2239,type,
    sK1359: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2240,type,
    sK1360: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2241,type,
    sK1361: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2242,type,
    sK1362: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2243,type,
    sK1363: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2244,type,
    sK1364: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2245,type,
    sK1365: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2246,type,
    sK1366: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2247,type,
    sK1367: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2248,type,
    sK1368: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2249,type,
    sK1369: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2250,type,
    sK1370: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2251,type,
    sK1371: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2252,type,
    sK1372: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2253,type,
    sK1373: int > set(product_prod(nat,nat)) ).

tff(func_def_2254,type,
    sK1374: fun(int,$o) > set(product_prod(nat,nat)) ).

tff(func_def_2255,type,
    sK1375: set(product_prod(nat,nat)) > int ).

tff(func_def_2256,type,
    sK1376: fun(set(product_prod(nat,nat)),$o) > int ).

tff(func_def_2257,type,
    sK1377: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2258,type,
    sK1378: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2259,type,
    sK1379: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2260,type,
    sK1380: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2261,type,
    sK1381: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2262,type,
    sK1382: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2263,type,
    sK1383: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2264,type,
    sK1384: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2265,type,
    sK1385: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2266,type,
    sK1386: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2267,type,
    sK1387: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2268,type,
    sK1388: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2269,type,
    sK1389: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2270,type,
    sK1390: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2271,type,
    sK1391: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2272,type,
    sK1392: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2273,type,
    sK1393: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2274,type,
    sK1394: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2275,type,
    sK1395: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2276,type,
    sK1396: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2277,type,
    sK1397: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2278,type,
    sK1398: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2279,type,
    sK1399: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2280,type,
    sK1400: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2281,type,
    sK1401: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2282,type,
    sK1402: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2283,type,
    sK1403: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2284,type,
    sK1404: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2285,type,
    sK1405: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2286,type,
    sK1406: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2287,type,
    sK1407: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2288,type,
    sK1408: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2289,type,
    sK1409: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2290,type,
    sK1410: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2291,type,
    sK1411: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2292,type,
    sK1412: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2293,type,
    sK1413: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2294,type,
    sK1414: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2295,type,
    sK1415: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2296,type,
    sK1416: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2297,type,
    sK1417: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2298,type,
    sK1418: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2299,type,
    sK1419: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2300,type,
    sK1420: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2301,type,
    sK1423: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2302,type,
    sK1424: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2303,type,
    sK1425: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2304,type,
    sK1426: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2305,type,
    sK1427: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2306,type,
    sK1428: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2307,type,
    sK1429: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2308,type,
    sK1430: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2309,type,
    sK1431: 
      !>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2310,type,
    sK1432: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * heap_Time_Heap(X0) * heap_Time_Heap(X1) ) > heap_Time_Heap(product_prod(X0,X1)) ) ).

tff(func_def_2311,type,
    sK1433: 
      !>[X0: $tType] : ( ( fun(X0,$o) * heap_Time_Heap(X0) ) > X0 ) ).

tff(func_def_2312,type,
    sK1434: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2313,type,
    sK1435: 
      !>[X0: $tType] : ( ( fun(X0,$o) * heap_Time_Heap(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2314,type,
    sK1436: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2315,type,
    sK1437: 
      !>[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_2316,type,
    sK1438: 
      !>[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_2317,type,
    sK1439: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2318,type,
    sK1440: 
      !>[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_2319,type,
    sK1441: 
      !>[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_2320,type,
    sK1442: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2321,type,
    sK1443: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2322,type,
    sK1444: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2323,type,
    sK1445: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2324,type,
    sK1446: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(set(X0))) ) ).

tff(func_def_2325,type,
    sK1447: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(set(X0))) ) ).

tff(func_def_2326,type,
    sK1448: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2327,type,
    sK1449: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(set(X0)),$o) ) > set(set(X0)) ) ).

tff(func_def_2328,type,
    sK1450: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(set(X0)),$o) ) > set(set(set(X0))) ) ).

tff(func_def_2329,type,
    sK1451: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2330,type,
    sK1452: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(set(X0))) ) ).

tff(func_def_2331,type,
    sK1453: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2332,type,
    sK1454: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(set(X0))) ) ).

tff(func_def_2333,type,
    sK1455: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2334,type,
    sK1456: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2335,type,
    sK1457: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(set(X0))) ) ).

tff(func_def_2336,type,
    sK1458: 
      !>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_ext(product_unit) ) ).

tff(func_def_2337,type,
    sK1459: 
      !>[X0: $tType] : ( ( set(heap_Time_Heap(X0)) * heap_Time_Heap(X0) ) > heap_Time_Heap(X0) ) ).

tff(func_def_2338,type,
    sK1460: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(X3,fun(fun(X2,heap_Time_Heap(X1)),heap_Time_Heap(X0))) > X3 ) ).

tff(func_def_2339,type,
    sK1461: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X0,heap_Time_Heap(X1))) * fun(X2,X2) * fun(fun(X0,heap_Time_Heap(X1)),X2) ) > X0 ) ).

tff(func_def_2340,type,
    sK1462: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X0,heap_Time_Heap(X1))) * fun(fun(X0,heap_Time_Heap(X1)),X2) ) > fun(X0,heap_Time_Heap(X1)) ) ).

tff(func_def_2341,type,
    sK1463: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X0,heap_Time_Heap(X1))) * fun(X2,X2) * fun(fun(X0,heap_Time_Heap(X1)),$o) ) > X2 ) ).

tff(func_def_2342,type,
    sK1464: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,heap_Time_Heap(X0)),fun(X1,heap_Time_Heap(X0))) > X1 ) ).

tff(func_def_2343,type,
    sK1465: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X0,heap_Time_Heap(X1))) * fun(X2,X2) * fun(fun(X0,heap_Time_Heap(X1)),X2) ) > X0 ) ).

tff(func_def_2344,type,
    sK1466: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X0,heap_Time_Heap(X1))) * fun(fun(X0,heap_Time_Heap(X1)),X2) ) > X2 ) ).

tff(func_def_2345,type,
    sK1467: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2346,type,
    sK1468: set(product_prod(nat,nat)) > product_prod(nat,nat) ).

tff(func_def_2347,type,
    sK1469: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) > fun(nat,sum_sum(X1,nat)) ) ).

tff(func_def_2348,type,
    sK1470: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) > sum_sum(X0,nat) ) ).

tff(func_def_2349,type,
    sK1471: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) > nat ) ).

tff(func_def_2350,type,
    sK1472: ( set(int) * int ) > int ).

tff(func_def_2351,type,
    sK1473: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2352,type,
    sK1474: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2353,type,
    sK1475: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2354,type,
    sK1476: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_2355,type,
    sK1477: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_2356,type,
    sK1478: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_2357,type,
    sK1479: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_2358,type,
    sK1480: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_2359,type,
    sK1481: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_2360,type,
    sK1482: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_2361,type,
    sK1483: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2362,type,
    sK1484: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2363,type,
    sK1485: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2364,type,
    sK1486: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2365,type,
    sK1487: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(heap_ext(product_unit),fun(heap_ext(product_unit),fun(X0,fun(nat,$o))))) * fun(X1,heap_Time_Heap(X0)) ) > X1 ) ).

tff(func_def_2366,type,
    sK1488: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(heap_ext(product_unit),fun(heap_ext(product_unit),fun(X0,fun(nat,$o))))) * fun(X1,heap_Time_Heap(X0)) ) > heap_ext(product_unit) ) ).

tff(func_def_2367,type,
    sK1489: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(heap_ext(product_unit),fun(heap_ext(product_unit),fun(X0,fun(nat,$o))))) * fun(X1,heap_Time_Heap(X0)) ) > heap_ext(product_unit) ) ).

tff(func_def_2368,type,
    sK1490: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(heap_ext(product_unit),fun(heap_ext(product_unit),fun(X0,fun(nat,$o))))) * fun(X1,heap_Time_Heap(X0)) ) > X0 ) ).

tff(func_def_2369,type,
    sK1491: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(heap_ext(product_unit),fun(heap_ext(product_unit),fun(X0,fun(nat,$o))))) * fun(X1,heap_Time_Heap(X0)) ) > nat ) ).

tff(func_def_2370,type,
    sK1492: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2371,type,
    sK1493: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > set(X0) ) ).

tff(func_def_2372,type,
    sK1494: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2373,type,
    sK1495: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_2374,type,
    sK1496: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2375,type,
    sK1497: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2376,type,
    sK1498: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2377,type,
    sK1499: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2378,type,
    sK1500: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2379,type,
    sK1501: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2380,type,
    sK1502: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2381,type,
    sK1503: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2382,type,
    sK1504: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2383,type,
    sK1505: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2384,type,
    sK1507: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_2385,type,
    sK1508: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_2386,type,
    sK1509: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2387,type,
    sK1510: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2388,type,
    sK1511: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > nat ) ).

tff(func_def_2389,type,
    sK1512: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2390,type,
    sK1513: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2391,type,
    sK1514: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2392,type,
    sK1515: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_2393,type,
    sK1516: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X0 ) ).

tff(func_def_2394,type,
    sK1517: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X2 ) ).

tff(func_def_2395,type,
    sK1518: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

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,
    sP108: ( $o * int ) > $o ).

tff(pred_def_242,type,
    sP109: ( $o * int ) > $o ).

tff(pred_def_243,type,
    sP118: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_244,type,
    sP119: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_245,type,
    sP142: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_246,type,
    sP143: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_247,type,
    sP147: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_248,type,
    sP148: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_249,type,
    sP157: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_250,type,
    sP158: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_251,type,
    sP162: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_252,type,
    sP163: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_253,type,
    sP208: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_254,type,
    sP213: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_255,type,
    sP252: $o > $o ).

tff(pred_def_256,type,
    sP253: $o > $o ).

tff(pred_def_257,type,
    sP254: $o > $o ).

tff(pred_def_258,type,
    sP255: $o > $o ).

tff(pred_def_259,type,
    sP261: $o > $o ).

tff(pred_def_260,type,
    sP262: $o > $o ).

tff(pred_def_261,type,
    sP263: $o > $o ).

tff(pred_def_262,type,
    sP264: $o > $o ).

tff(pred_def_263,type,
    sP274: $o > $o ).

tff(pred_def_264,type,
    sP275: $o > $o ).

tff(pred_def_265,type,
    sP314: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_266,type,
    sP319: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_267,type,
    sP355: fun(int,$o) > $o ).

tff(pred_def_268,type,
    sP356: ( set(int) * fun(int,$o) * fun(int,$o) * int ) > $o ).

tff(pred_def_269,type,
    sP357: ( int * int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_270,type,
    sP358: ( int * fun(int,$o) ) > $o ).

tff(pred_def_271,type,
    sP359: ( int * int * fun(int,$o) * int ) > $o ).

tff(pred_def_272,type,
    sP368: fun(int,$o) > $o ).

tff(pred_def_273,type,
    sP369: ( set(int) * fun(int,$o) * fun(int,$o) * int ) > $o ).

tff(pred_def_274,type,
    sP370: ( int * int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_275,type,
    sP371: ( int * fun(int,$o) ) > $o ).

tff(pred_def_276,type,
    sP372: ( int * int * fun(int,$o) * int ) > $o ).

tff(pred_def_277,type,
    sP386: ( int * fun(int,$o) * fun(int,$o) * set(int) * int ) > $o ).

tff(pred_def_278,type,
    sP391: ( int * fun(int,$o) * fun(int,$o) * set(int) * int ) > $o ).

tff(pred_def_279,type,
    sP396: ( int * fun(int,$o) * fun(int,$o) * set(int) * int ) > $o ).

tff(pred_def_280,type,
    sP401: ( int * fun(int,$o) * fun(int,$o) * set(int) * int ) > $o ).

tff(pred_def_281,type,
    sK443: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_282,type,
    sP479: ( int * product_prod(int,int) * int * int ) > $o ).

tff(pred_def_283,type,
    sP517: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_284,type,
    sP518: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_285,type,
    sP519: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_286,type,
    sP624: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_287,type,
    sP625: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_288,type,
    sP626: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_289,type,
    sP690: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_290,type,
    sP691: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_291,type,
    sP692: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_292,type,
    sP1112: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_293,type,
    sP1122: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_294,type,
    sP1123: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_295,type,
    sP1141: ( $o * $o ) > $o ).

tff(pred_def_296,type,
    sP1142: ( $o * $o ) > $o ).

tff(pred_def_297,type,
    sP1143: ( $o * $o ) > $o ).

tff(pred_def_298,type,
    sP1144: ( $o * $o ) > $o ).

tff(pred_def_299,type,
    sP1145: ( $o * $o ) > $o ).

tff(pred_def_300,type,
    sP1146: ( $o * $o ) > $o ).

tff(pred_def_301,type,
    sP1147: ( $o * $o ) > $o ).

tff(pred_def_302,type,
    sP1148: ( $o * $o ) > $o ).

tff(pred_def_303,type,
    sP1149: ( $o * $o ) > $o ).

tff(pred_def_304,type,
    sP1150: ( $o * $o ) > $o ).

tff(pred_def_305,type,
    sP1224: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * X0 * X0 * list(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_306,type,
    sP1225: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_307,type,
    sP1226: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_308,type,
    sP1227: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_309,type,
    sP1283: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_310,type,
    sP1339: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_311,type,
    sP1340: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_312,type,
    sP1421: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_313,type,
    sP1422: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_314,type,
    sP1506: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(f1,axiom,
    heap_Time_effect(nat,array_len(a,a2),h,h2,r,n),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_22_effect__deterministic_I1_J) ).

tff(f8362,axiom,
    heap(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).

tff(f8364,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f8365,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f8364]) ).

tff(f12267,plain,
    ~ thesis,
    inference(flattening,[],[f8365]) ).

tff(f12305,plain,
    ( thesis
    | ( n != one_one(nat) )
    | ( h != h2 )
    | ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f12306,plain,
    ( thesis
    | ( n != one_one(nat) )
    | ( h != h2 )
    | ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
    inference(flattening,[],[f12305]) ).

tff(f12307,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(f12308,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,[],[f12307]) ).

tff(f12324,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(f12325,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,[],[f12324]) ).

tff(f12326,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(f12327,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,[],[f12326]) ).

tff(f12328,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(f12329,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,[],[f12328]) ).

tff(f19218,plain,
    heap_Time_effect(nat,array_len(a,a2),h,h2,r,n),
    inference(cnf_transformation,[],[f1]) ).

tff(f19219,plain,
    ( ( r != aa(array(a),nat,array_length(a,h2),a2) )
    | ( h != h2 )
    | ( n != one_one(nat) )
    | thesis ),
    inference(cnf_transformation,[],[f12306]) ).

tff(f19220,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: nat,X1: heap_ext(product_unit),X4: array(X0),X5: nat] :
      ( ~ heap(X0)
      | ( X1 != X2 )
      | ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
      | ( one_one(nat) != X5 )
      | heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5) ),
    inference(cnf_transformation,[],[f12308]) ).

tff(f19240,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)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5)
      | ( X5 = X8 ) ),
    inference(cnf_transformation,[],[f12325]) ).

tff(f19241,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)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5)
      | ( X3 = X6 ) ),
    inference(cnf_transformation,[],[f12327]) ).

tff(f19242,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)
      | ~ heap_Time_effect(X0,X1,X2,X3,X4,X5)
      | ( X4 = X7 ) ),
    inference(cnf_transformation,[],[f12329]) ).

tff(f32414,plain,
    heap(a),
    inference(cnf_transformation,[],[f8362]) ).

tff(f32415,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f12267]) ).

tff(f34284,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
      ( ~ heap(X0)
      | ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
      | ( one_one(nat) != X5 )
      | heap_Time_effect(nat,array_len(X0,X4),X2,X2,X3,X5) ),
    inference(equality_resolution,[],[f19220]) ).

tff(f34285,plain,
    ! [X0: $tType,X2: heap_ext(product_unit),X4: array(X0),X5: nat] :
      ( ~ heap(X0)
      | ( one_one(nat) != X5 )
      | heap_Time_effect(nat,array_len(X0,X4),X2,X2,aa(array(X0),nat,array_length(X0,X2),X4),X5) ),
    inference(equality_resolution,[],[f34284]) ).

tff(f34286,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,[],[f34285]) ).

tff(f35548,plain,
    ( ( r != aa(array(a),nat,array_length(a,h2),a2) )
    | ( h != h2 )
    | ( n != one_one(nat) )
    | ~ thesis ),
    inference(consistent_polarity_flipping,[],[f19219]) ).

tff(f40428,plain,
    thesis,
    inference(consistent_polarity_flipping,[],[f32415]) ).

tff(f40837,definition,
    ( spl1519_93
  <=> thesis ),
    introduced(definition,[new_symbols(definition,[spl1519_93])],[avatar_definition]) ).

tff(f40841,definition,
    ( spl1519_94
  <=> ( n = one_one(nat) ) ),
    introduced(definition,[new_symbols(definition,[spl1519_94])],[avatar_definition]) ).

tff(f40845,definition,
    ( spl1519_95
  <=> ( h = h2 ) ),
    introduced(definition,[new_symbols(definition,[spl1519_95])],[avatar_definition]) ).

tff(f40846,plain,
    ( ( h = h2 )
    | ~ spl1519_95 ),
    inference(avatar_component_clause,[],[f40845]) ).

tff(f40849,definition,
    ( spl1519_96
  <=> ( r = aa(array(a),nat,array_length(a,h2),a2) ) ),
    introduced(definition,[new_symbols(definition,[spl1519_96])],[avatar_definition]) ).

tff(f40852,plain,
    ( ~ spl1519_93
    | ~ spl1519_94
    | ~ spl1519_95
    | ~ spl1519_96 ),
    inference(avatar_split_clause,[],[f35548,f40849,f40845,f40841,f40837]) ).

tff(f40853,plain,
    spl1519_93,
    inference(avatar_split_clause,[],[f40428,f40837]) ).

tff(f46734,plain,
    ! [X2: nat,X0: heap_ext(product_unit),X1: nat] :
      ( ~ heap_Time_effect(nat,array_len(a,a2),h,X0,X1,X2)
      | ( n = X2 ) ),
    inference(resolution,[],[f19240,f19218]) ).

tff(f46750,plain,
    ! [X2: nat,X0: heap_ext(product_unit),X1: nat] :
      ( ~ heap_Time_effect(nat,array_len(a,a2),h,X0,X1,X2)
      | ( r = X1 ) ),
    inference(resolution,[],[f19242,f19218]) ).

tff(f48020,plain,
    ! [X2: nat,X0: heap_ext(product_unit),X1: nat] :
      ( ~ heap_Time_effect(nat,array_len(a,a2),h,X0,X1,X2)
      | ( h2 = X0 ) ),
    inference(resolution,[],[f19241,f19218]) ).

tff(f160472,plain,
    ( ( n = one_one(nat) )
    | ~ heap(a) ),
    inference(resolution,[],[f46734,f34286]) ).

tff(f160476,plain,
    n = one_one(nat),
    inference(forward_subsumption_resolution,[],[f160472,f32414]) ).

tff(f160477,plain,
    spl1519_94,
    inference(avatar_split_clause,[],[f160476,f40841]) ).

tff(f185768,plain,
    ( ( r = aa(array(a),nat,array_length(a,h),a2) )
    | ~ heap(a) ),
    inference(resolution,[],[f46750,f34286]) ).

tff(f185769,plain,
    r = aa(array(a),nat,array_length(a,h),a2),
    inference(forward_subsumption_resolution,[],[f185768,f32414]) ).

tff(f401062,plain,
    ( ( h = h2 )
    | ~ heap(a) ),
    inference(resolution,[],[f48020,f34286]) ).

tff(f401068,plain,
    h = h2,
    inference(forward_subsumption_resolution,[],[f401062,f32414]) ).

tff(f401070,plain,
    spl1519_95,
    inference(avatar_split_clause,[],[f401068,f40845]) ).

tff(f401076,plain,
    ( ( r = aa(array(a),nat,array_length(a,h2),a2) )
    | ~ spl1519_95 ),
    inference(superposition,[],[f185769,f40846]) ).

tff(f401078,plain,
    ( spl1519_96
    | ~ spl1519_95 ),
    inference(avatar_split_clause,[],[f401076,f40845,f40849]) ).

cnf(s85,plain,
    ( ~ spl1519_93
    | ~ spl1519_94
    | ~ spl1519_95
    | ~ spl1519_96 ),
    inference(sat_conversion,[],[f40852]) ).

cnf(s86,plain,
    spl1519_93,
    inference(sat_conversion,[],[f40853]) ).

cnf(s9214,plain,
    spl1519_94,
    inference(sat_conversion,[],[f160477]) ).

cnf(s41826,plain,
    spl1519_95,
    inference(sat_conversion,[],[f401070]) ).

cnf(s41827,plain,
    ( ~ spl1519_95
    | spl1519_96 ),
    inference(sat_conversion,[],[f401078]) ).

cnf(s41828,plain,
    spl1519_96,
    inference(rat,[],[s41827,s41826]) ).

cnf(s42632,plain,
    $false,
    inference(rat,[],[s85,s41828,s41826,s9214,s86]) ).

tff(f401079,plain,
    $false,
    inference(avatar_sat_refutation,[],[s42632]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP208_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41  % Computer : n015.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8046.5625MB
% 0.13/0.41  % OS       : Linux 6.8.0-71-generic
% 0.13/0.41  % CPULimit : 300
% 0.13/0.41  % WCLimit  : 300
% 0.13/0.41  % DateTime : Sun Sep 27 12:26:47 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45  Running first-order model finding
% 0.13/0.45  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.33/3.57  % (1593307)Will run a generic schedule for satisfiability detection.
% 17.33/3.57  % (1593326)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2397557107_2993 on theBenchmark for (2993ds/0Mi)
% 17.33/3.57  % (1593327)% WARNING: option uhcvi not known.
% 17.33/3.57  % (1593327)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1160843524:i=135531:add=off:rawr=on_2993 on theBenchmark for (2993ds/135531Mi)
% 17.33/3.57  % (1593328)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2505279019:i=88024:add=on:rawr=on_2993 on theBenchmark for (2993ds/88024Mi)
% 17.33/3.57  % (1593329)dis+10_1_sil=32000:sp=arity:random_seed=2204503530:i=103:fgj=on_2993 on theBenchmark for (2993ds/103Mi)
% 17.33/3.57  % (1593330)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3085394542:i=116_2993 on theBenchmark for (2993ds/116Mi)
% 17.33/3.57  % (1593331)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2518330799:i=131_2993 on theBenchmark for (2993ds/131Mi)
% 17.33/3.57  % (1593332)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=829985008:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2993 on theBenchmark for (2993ds/159Mi)
% 17.33/3.57  % (1593329)Instruction limit reached! 
% 17.33/3.57  % (1593329)------------------------------
% 17.33/3.57  % (1593329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.57  % (1593329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.57  % (1593329)CaDiCaL version: 2.1.3
% 17.33/3.57  % (1593329)Termination reason: Instruction limit
% 17.33/3.57  % (1593329)Termination phase: Initialization
% 17.33/3.57  % (1593329)Time elapsed: 0.045 s
% 17.33/3.57  % (1593329)Peak memory usage: 24 MB
% 17.33/3.57  % (1593329)Instructions burned: 104 (million)
% 17.33/3.57  % (1593331)Instruction limit reached! 
% 17.33/3.57  % (1593331)------------------------------
% 17.33/3.57  % (1593331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.57  % (1593331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.57  % (1593331)CaDiCaL version: 2.1.3
% 17.33/3.57  % (1593331)Termination reason: Instruction limit
% 17.33/3.57  % (1593331)Termination phase: Initialization
% 17.33/3.57  % (1593331)Time elapsed: 0.059 s
% 17.33/3.57  % (1593331)Peak memory usage: 25 MB
% 17.33/3.57  % (1593331)Instructions burned: 132 (million)
% 17.33/3.57  % (1593340)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=622472007:i=714:nm=2_2992 on theBenchmark for (2992ds/714Mi)
% 17.33/3.57  % (1593332)Instruction limit reached! 
% 17.33/3.57  % (1593332)------------------------------
% 17.33/3.57  % (1593332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.57  % (1593332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.57  % (1593332)CaDiCaL version: 2.1.3
% 17.33/3.57  % (1593332)Termination reason: Instruction limit
% 17.33/3.57  % (1593332)Termination phase: Initialization
% 17.33/3.57  % (1593332)Time elapsed: 0.070 s
% 17.33/3.57  % (1593332)Peak memory usage: 25 MB
% 17.33/3.57  % (1593332)Instructions burned: 161 (million)
% 17.33/3.57  % (1593330)Instruction limit reached! 
% 17.33/3.57  % (1593330)------------------------------
% 17.33/3.57  % (1593330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.57  % (1593330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.33/3.57  % (1593330)CaDiCaL version: 2.1.3
% 17.33/3.57  % (1593330)Termination reason: Instruction limit
% 17.33/3.57  % (1593330)Termination phase: NewCNF
% 17.33/3.57  % (1593330)Time elapsed: 0.079 s
% 17.33/3.57  % (1593330)Peak memory usage: 28 MB
% 17.33/3.57  % (1593330)Instructions burned: 116 (million)
% 17.33/3.57  % (1593341)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=140205577:i=131:bd=preordered:fsd=on_2992 on theBenchmark for (2992ds/131Mi)
% 17.33/3.57  % (1593343)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2554351440:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2992 on theBenchmark for (2992ds/684Mi)
% 17.33/3.57  % (1593345)ott-21_1_sil=16000:fs=off:random_seed=1454169693:i=180:av=off:fsr=off_2992 on theBenchmark for (2992ds/180Mi)
% 17.33/3.57  % (1593341)Instruction limit reached! 
% 17.33/3.57  % (1593341)------------------------------
% 17.33/3.57  % (1593341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.33/3.57  % (1593341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.70/7.11  % (1593341)CaDiCaL version: 2.1.3
% 42.70/7.11  % (1593341)Termination reason: Instruction limit
% 42.70/7.11  % (1593341)Termination phase: Initialization
% 42.70/7.11  % (1593341)Time elapsed: 0.058 s
% 42.70/7.11  % (1593341)Peak memory usage: 25 MB
% 42.70/7.11  % (1593341)Instructions burned: 132 (million)
% 42.70/7.11  % (1593348)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1473655975:i=477:bd=all_2991 on theBenchmark for (2991ds/477Mi)
% 42.70/7.11  % (1593345)Instruction limit reached! 
% 42.70/7.11  % (1593345)------------------------------
% 42.70/7.11  % (1593345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.70/7.11  % (1593345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.70/7.11  % (1593345)CaDiCaL version: 2.1.3
% 42.70/7.11  % (1593345)Termination reason: Instruction limit
% 42.70/7.11  % (1593345)Termination phase: Initialization
% 42.70/7.11  % (1593345)Time elapsed: 0.081 s
% 42.70/7.11  % (1593345)Peak memory usage: 26 MB
% 42.70/7.11  % (1593345)Instructions burned: 181 (million)
% 42.70/7.11  % (1593350)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=871367322:fmbsr=1.3:i=865:ins=25_2991 on theBenchmark for (2991ds/865Mi)
% 42.70/7.11  % (1593348)Instruction limit reached! 
% 42.70/7.11  % (1593348)------------------------------
% 42.70/7.11  % (1593348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.70/7.11  % (1593348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.70/7.11  % (1593348)CaDiCaL version: 2.1.3
% 42.70/7.11  % (1593348)Termination reason: Instruction limit
% 42.70/7.11  % (1593348)Termination phase: Property scanning
% 42.70/7.11  % (1593348)Time elapsed: 0.212 s
% 42.70/7.11  % (1593348)Peak memory usage: 28 MB
% 42.70/7.11  % (1593348)Instructions burned: 479 (million)
% 42.70/7.11  % (1593352)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1491282375:i=1179_2989 on theBenchmark for (2989ds/1179Mi)
% 42.70/7.11  % (1593340)Instruction limit reached! 
% 42.70/7.11  % (1593340)------------------------------
% 42.70/7.11  % (1593340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.70/7.11  % (1593340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.70/7.11  % (1593340)CaDiCaL version: 2.1.3
% 42.70/7.11  % (1593340)Termination reason: Instruction limit
% 42.70/7.11  % (1593340)Termination phase: Naming
% 42.70/7.11  % (1593340)Time elapsed: 0.330 s
% 42.70/7.11  % (1593340)Peak memory usage: 33 MB
% 42.70/7.11  % (1593340)Instructions burned: 716 (million)
% 42.70/7.11  % (1593354)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=684247699:i=889:ins=1_2988 on theBenchmark for (2988ds/889Mi)
% 42.70/7.11  % (1593343)Instruction limit reached! 
% 42.70/7.11  % (1593343)------------------------------
% 42.70/7.11  % (1593343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.70/7.11  % (1593343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.70/7.11  % (1593343)CaDiCaL version: 2.1.3
% 42.70/7.11  % (1593343)Termination reason: Instruction limit
% 42.70/7.11  % (1593343)Termination phase: Property scanning
% 42.70/7.11  % (1593343)Time elapsed: 0.349 s
% 42.70/7.11  % (1593343)Peak memory usage: 36 MB
% 42.70/7.11  % (1593343)Instructions burned: 685 (million)
% 42.70/7.11  % (1593356)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3689665928:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2988 on theBenchmark for (2988ds/692Mi)
% 42.70/7.11  % Exception at run slice level
% 42.70/7.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 42.70/7.11  % (1593358)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1950850747:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 42.70/7.11  % (1593350)Instruction limit reached! 
% 42.70/7.11  % (1593350)------------------------------
% 42.70/7.11  % (1593350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.70/7.11  % (1593350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.70/7.11  % (1593350)CaDiCaL version: 2.1.3
% 42.70/7.11  % (1593350)Termination reason: Instruction limit
% 42.70/7.11  % (1593350)Termination phase: Preprocessing 3
% 42.70/7.11  % (1593350)Time elapsed: 0.410 s
% 42.70/7.11  % (1593350)Peak memory usage: 35 MB
% 42.70/7.11  % (1593350)Instructions burned: 865 (million)
% 42.70/7.11  % (1593360)fmb+10_1_sil=64000:random_seed=2523345025:i=22061:nm=2:gsp=on_2986 on theBenchmark for (2986ds/22061Mi)
% 42.70/7.11  % (1593358)Instruction limit reached! 
% 123.55/18.49  % (1593358)------------------------------
% 123.55/18.49  % (1593358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 123.55/18.49  % (1593358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.55/18.49  % (1593358)CaDiCaL version: 2.1.3
% 123.55/18.49  % (1593358)Termination reason: Instruction limit
% 123.55/18.49  % (1593358)Termination phase: Function definition elimination
% 123.55/18.49  % (1593358)Time elapsed: 0.272 s
% 123.55/18.49  % (1593358)Peak memory usage: 37 MB
% 123.55/18.49  % (1593358)Instructions burned: 879 (million)
% 123.55/18.49  % (1593370)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=922879473:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 123.55/18.49  % (1593356)Instruction limit reached! 
% 123.55/18.49  % (1593356)------------------------------
% 123.55/18.49  % (1593356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 123.55/18.49  % (1593356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.55/18.49  % (1593356)CaDiCaL version: 2.1.3
% 123.55/18.49  % (1593356)Termination reason: Instruction limit
% 123.55/18.49  % (1593356)Termination phase: Property scanning
% 123.55/18.49  % (1593356)Time elapsed: 0.477 s
% 123.55/18.49  % (1593356)Peak memory usage: 36 MB
% 123.55/18.49  % (1593356)Instructions burned: 692 (million)
% 123.55/18.49  % (1593354)Instruction limit reached! 
% 123.55/18.49  % (1593354)------------------------------
% 123.55/18.49  % (1593354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 123.55/18.49  % (1593354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.55/18.49  % (1593354)CaDiCaL version: 2.1.3
% 123.55/18.49  % (1593354)Termination reason: Instruction limit
% 123.55/18.49  % (1593354)Termination phase: Preprocessing 3
% 123.55/18.49  % (1593354)Time elapsed: 0.542 s
% 123.55/18.49  % (1593354)Peak memory usage: 36 MB
% 123.55/18.49  % (1593354)Instructions burned: 890 (million)
% 123.55/18.49  % (1593380)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1916794350:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 123.55/18.49  % (1593381)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=824648494:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 123.55/18.49  % (1593352)Instruction limit reached! 
% 123.55/18.49  % (1593352)------------------------------
% 123.55/18.49  % (1593352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 123.55/18.49  % (1593352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.55/18.49  % (1593352)CaDiCaL version: 2.1.3
% 123.55/18.49  % (1593352)Termination reason: Instruction limit
% 123.55/18.49  % (1593352)Termination phase: Property scanning
% 123.55/18.49  % (1593352)Time elapsed: 0.839 s
% 123.55/18.49  % (1593352)Peak memory usage: 39 MB
% 123.55/18.49  % (1593352)Instructions burned: 1180 (million)
% 123.55/18.49  % (1593391)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2791442160:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 123.55/18.49  % Exception at run slice level
% 123.55/18.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 123.55/18.49  % (1593400)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1113527070:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 123.55/18.49  % (1593380)Instruction limit reached! 
% 123.55/18.49  % (1593380)------------------------------
% 123.55/18.49  % (1593380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 123.55/18.49  % (1593380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.55/18.49  % (1593380)CaDiCaL version: 2.1.3
% 123.55/18.49  % (1593380)Termination reason: Instruction limit
% 123.55/18.49  % (1593380)Termination phase: Preprocessing 3
% 123.55/18.49  % (1593380)Time elapsed: 0.797 s
% 123.55/18.49  % (1593380)Peak memory usage: 37 MB
% 123.55/18.49  % (1593380)Instructions burned: 920 (million)
% 123.55/18.49  % (1593408)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1335780116:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 123.55/18.49  % (1593360)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 123.55/18.49  % Exception at run slice level
% 123.55/18.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 123.55/18.49  % (1593413)ott-2_1_sil=16000:newcnf=on:random_seed=2447379809:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 123.55/18.49  % Exception at run slice level
% 123.55/18.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 186.66/27.39  % (1593418)ott+10_1_sil=32000:tgt=ground:random_seed=875755947:i=5114:av=off_2968 on theBenchmark for (2968ds/5114Mi)
% 186.66/27.39  % (1593391)Instruction limit reached! 
% 186.66/27.39  % (1593391)------------------------------
% 186.66/27.39  % (1593391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.66/27.39  % (1593391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.66/27.39  % (1593391)CaDiCaL version: 2.1.3
% 186.66/27.39  % (1593391)Termination reason: Instruction limit
% 186.66/27.39  % (1593391)Termination phase: Property scanning
% 186.66/27.39  % (1593391)Time elapsed: 1.193 s
% 186.66/27.39  % (1593391)Peak memory usage: 39 MB
% 186.66/27.39  % (1593391)Instructions burned: 1472 (million)
% 186.66/27.39  % (1593420)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3149036197:i=54282_2968 on theBenchmark for (2968ds/54282Mi)
% 186.66/27.39  % (1593413)Instruction limit reached! 
% 186.66/27.39  % (1593413)------------------------------
% 186.66/27.39  % (1593413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.66/27.39  % (1593413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.66/27.39  % (1593413)CaDiCaL version: 2.1.3
% 186.66/27.39  % (1593413)Termination reason: Instruction limit
% 186.66/27.39  % (1593413)Termination phase: Function definition elimination
% 186.66/27.39  % (1593413)Time elapsed: 0.738 s
% 186.66/27.39  % (1593413)Peak memory usage: 36 MB
% 186.66/27.39  % (1593413)Instructions burned: 870 (million)
% 186.66/27.39  % (1593425)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2142707328:i=3512:aac=none_2963 on theBenchmark for (2963ds/3512Mi)
% 186.66/27.39  % Exception at run slice level
% 186.66/27.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 186.66/27.39  % (1593436)dis+21_1_sil=32000:sas=cadical:random_seed=1704705123:i=3773:amm=off_2959 on theBenchmark for (2959ds/3773Mi)
% 186.66/27.39  % Exception at run slice level
% 186.66/27.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 186.66/27.39  % (1593452)ott+11_1_sil=16000:gs=on:random_seed=2175832764:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2953 on theBenchmark for (2953ds/2251Mi)
% 186.66/27.39  % (1593418)Instruction limit reached! 
% 186.66/27.39  % (1593418)------------------------------
% 186.66/27.39  % (1593418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.66/27.39  % (1593418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.66/27.39  % (1593418)CaDiCaL version: 2.1.3
% 186.66/27.39  % (1593418)Termination reason: Instruction limit
% 186.66/27.39  % (1593418)Termination phase: Saturation
% 186.66/27.39  % (1593418)Time elapsed: 2.513 s
% 186.66/27.39  % (1593418)Peak memory usage: 63 MB
% 186.66/27.39  % (1593418)Instructions burned: 5114 (million)
% 186.66/27.39  % (1593464)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=534665967:fmbsr=1.6:i=67534_2943 on theBenchmark for (2943ds/67534Mi)
% 186.66/27.39  % (1593381)Instruction limit reached! 
% 186.66/27.39  % (1593381)------------------------------
% 186.66/27.39  % (1593381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.66/27.39  % (1593381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.66/27.39  % (1593381)CaDiCaL version: 2.1.3
% 186.66/27.39  % (1593381)Termination reason: Instruction limit
% 186.66/27.39  % (1593381)Termination phase: Saturation
% 186.66/27.39  % (1593381)Time elapsed: 4.649 s
% 186.66/27.39  % (1593381)Peak memory usage: 61 MB
% 186.66/27.39  % (1593381)Instructions burned: 5132 (million)
% 186.66/27.39  % (1593468)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1291880108:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2936 on theBenchmark for (2936ds/4591Mi)
% 186.66/27.39  % Exception at run slice level
% 186.66/27.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 186.66/27.39  % (1593471)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3314545294:i=29340_2935 on theBenchmark for (2935ds/29340Mi)
% 186.66/27.39  % (1593452)Instruction limit reached! 
% 186.66/27.39  % (1593452)------------------------------
% 186.66/27.39  % (1593452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.66/27.39  % (1593452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.66/27.39  % (1593452)CaDiCaL version: 2.1.3
% 186.66/27.39  % (1593452)Termination reason: Instruction limit
% 182.33/31.99  % (1593452)Termination phase: Saturation
% 182.33/31.99  % (1593452)Time elapsed: 1.956 s
% 182.33/31.99  % (1593452)Peak memory usage: 47 MB
% 182.33/31.99  % (1593452)Instructions burned: 2251 (million)
% 182.33/31.99  % (1593473)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=210021634:i=5211_2933 on theBenchmark for (2933ds/5211Mi)
% 182.33/31.99  % (1593425)Instruction limit reached! 
% 182.33/31.99  % (1593425)------------------------------
% 182.33/31.99  % (1593425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593425)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593425)Termination reason: Instruction limit
% 182.33/31.99  % (1593425)Termination phase: Saturation
% 182.33/31.99  % (1593425)Time elapsed: 3.103 s
% 182.33/31.99  % (1593425)Peak memory usage: 52 MB
% 182.33/31.99  % (1593425)Instructions burned: 3513 (million)
% 182.33/31.99  % (1593477)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3209800175:i=5497:nm=2_2932 on theBenchmark for (2932ds/5497Mi)
% 182.33/31.99  % (1593436)Instruction limit reached! 
% 182.33/31.99  % (1593436)------------------------------
% 182.33/31.99  % (1593436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593436)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593436)Termination reason: Instruction limit
% 182.33/31.99  % (1593436)Termination phase: Saturation
% 182.33/31.99  % (1593436)Time elapsed: 3.311 s
% 182.33/31.99  % (1593436)Peak memory usage: 54 MB
% 182.33/31.99  % (1593436)Instructions burned: 3773 (million)
% 182.33/31.99  % (1593488)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2960151170:fmbsr=2:i=46332_2926 on theBenchmark for (2926ds/46332Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593499)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1627983827:i=14071_2914 on theBenchmark for (2914ds/14071Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593504)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=755744374:i=22565:add=on:rawr=on_2910 on theBenchmark for (2910ds/22565Mi)
% 182.33/31.99  % (1593468)Instruction limit reached! 
% 182.33/31.99  % (1593468)------------------------------
% 182.33/31.99  % (1593468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593468)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593468)Termination reason: Instruction limit
% 182.33/31.99  % (1593468)Termination phase: Saturation
% 182.33/31.99  % (1593468)Time elapsed: 3.646 s
% 182.33/31.99  % (1593468)Peak memory usage: 49 MB
% 182.33/31.99  % (1593468)Instructions burned: 4591 (million)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593512)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1799389251:i=8173:av=off_2899 on theBenchmark for (2899ds/8173Mi)
% 182.33/31.99  % (1593513)dis+10_16:1_sil=16000:random_seed=2588727093:i=9155:fsr=off_2899 on theBenchmark for (2899ds/9155Mi)
% 182.33/31.99  % (1593473)Instruction limit reached! 
% 182.33/31.99  % (1593473)------------------------------
% 182.33/31.99  % (1593473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593473)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593473)Termination reason: Instruction limit
% 182.33/31.99  % (1593473)Termination phase: Saturation
% 182.33/31.99  % (1593473)Time elapsed: 3.735 s
% 182.33/31.99  % (1593473)Peak memory usage: 58 MB
% 182.33/31.99  % (1593473)Instructions burned: 5212 (million)
% 182.33/31.99  % (1593522)ott-3_8_sil=64000:random_seed=630656017:i=20139:bs=on_2895 on theBenchmark for (2895ds/20139Mi)
% 182.33/31.99  % (1593512)Instruction limit reached! 
% 182.33/31.99  % (1593512)------------------------------
% 182.33/31.99  % (1593512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593512)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593512)Termination reason: Instruction limit
% 182.33/31.99  % (1593512)Termination phase: Saturation
% 182.33/31.99  % (1593512)Time elapsed: 7.947 s
% 182.33/31.99  % (1593512)Peak memory usage: 83 MB
% 182.33/31.99  % (1593512)Instructions burned: 8173 (million)
% 182.33/31.99  % (1593570)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3290001631:fmbsr=2:i=32576_2819 on theBenchmark for (2819ds/32576Mi)
% 182.33/31.99  % (1593513)Instruction limit reached! 
% 182.33/31.99  % (1593513)------------------------------
% 182.33/31.99  % (1593513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593513)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593513)Termination reason: Instruction limit
% 182.33/31.99  % (1593513)Termination phase: Saturation
% 182.33/31.99  % (1593513)Time elapsed: 8.258 s
% 182.33/31.99  % (1593513)Peak memory usage: 92 MB
% 182.33/31.99  % (1593513)Instructions burned: 9157 (million)
% 182.33/31.99  % (1593573)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3750441025:i=11404_2816 on theBenchmark for (2816ds/11404Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593614)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2703882751:i=14134_2810 on theBenchmark for (2810ds/14134Mi)
% 182.33/31.99  % (1593471)Instruction limit reached! 
% 182.33/31.99  % (1593471)------------------------------
% 182.33/31.99  % (1593471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593471)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593471)Termination reason: Instruction limit
% 182.33/31.99  % (1593471)Termination phase: Saturation
% 182.33/31.99  % (1593471)Time elapsed: 15.499 s
% 182.33/31.99  % (1593471)Peak memory usage: 1377 MB
% 182.33/31.99  % (1593471)Instructions burned: 29341 (million)
% 182.33/31.99  % (1593616)dis+33_16_sil=32000:sac=on:random_seed=129103116:i=15851:nm=0_2778 on theBenchmark for (2778ds/15851Mi)
% 182.33/31.99  % (1593522)Instruction limit reached! 
% 182.33/31.99  % (1593522)------------------------------
% 182.33/31.99  % (1593522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593522)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593522)Termination reason: Instruction limit
% 182.33/31.99  % (1593522)Termination phase: Saturation
% 182.33/31.99  % (1593522)Time elapsed: 15.380 s
% 182.33/31.99  % (1593522)Peak memory usage: 69 MB
% 182.33/31.99  % (1593522)Instructions burned: 20139 (million)
% 182.33/31.99  % (1593618)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2478792100:avsq=on:i=17627:add=on:amm=off_2741 on theBenchmark for (2741ds/17627Mi)
% 182.33/31.99  % (1593573)Instruction limit reached! 
% 182.33/31.99  % (1593573)------------------------------
% 182.33/31.99  % (1593573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593573)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593573)Termination reason: Instruction limit
% 182.33/31.99  % (1593573)Termination phase: Saturation
% 182.33/31.99  % (1593573)Time elapsed: 7.561 s
% 182.33/31.99  % (1593573)Peak memory usage: 147 MB
% 182.33/31.99  % (1593573)Instructions burned: 11404 (million)
% 182.33/31.99  % (1593620)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=724196202:s2a=on:i=53295_2740 on theBenchmark for (2740ds/53295Mi)
% 182.33/31.99  % (1593614)Instruction limit reached! 
% 182.33/31.99  % (1593614)------------------------------
% 182.33/31.99  % (1593614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593614)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593614)Termination reason: Instruction limit
% 182.33/31.99  % (1593614)Termination phase: Saturation
% 182.33/31.99  % (1593614)Time elapsed: 7.726 s
% 182.33/31.99  % (1593614)Peak memory usage: 84 MB
% 182.33/31.99  % (1593614)Instructions burned: 14136 (million)
% 182.33/31.99  % (1593688)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=906816259:i=26857:ins=20_2732 on theBenchmark for (2732ds/26857Mi)
% 182.33/31.99  % (1593616)Instruction limit reached! 
% 182.33/31.99  % (1593616)------------------------------
% 182.33/31.99  % (1593616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593616)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593616)Termination reason: Instruction limit
% 182.33/31.99  % (1593616)Termination phase: Saturation
% 182.33/31.99  % (1593616)Time elapsed: 4.785 s
% 182.33/31.99  % (1593616)Peak memory usage: 401 MB
% 182.33/31.99  % (1593616)Instructions burned: 15852 (million)
% 182.33/31.99  % (1593504)Instruction limit reached! 
% 182.33/31.99  % (1593504)------------------------------
% 182.33/31.99  % (1593504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/31.99  % (1593504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/31.99  % (1593504)CaDiCaL version: 2.1.3
% 182.33/31.99  % (1593504)Termination reason: Instruction limit
% 182.33/31.99  % (1593504)Termination phase: Saturation
% 182.33/31.99  % (1593504)Time elapsed: 17.953 s
% 182.33/31.99  % (1593504)Peak memory usage: 673 MB
% 182.33/31.99  % (1593504)Instructions burned: 22565 (million)
% 182.33/31.99  % (1593695)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=2931506407:i=28120:bs=on:fsr=off_2730 on theBenchmark for (2730ds/28120Mi)
% 182.33/31.99  % (1593697)fmb+10_1_sil=256000:fmbss=7:random_seed=2751716065:fmbsr=1.6:i=182295_2729 on theBenchmark for (2729ds/182295Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593699)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=4043834877:i=44625:gsp=on_2724 on theBenchmark for (2724ds/44625Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593701)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=3691620637:i=160505_2721 on theBenchmark for (2721ds/160505Mi)
% 182.33/31.99  % (1593699)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593703)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=841796581:fmbsr=1.3:i=225729_2717 on theBenchmark for (2717ds/225729Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593741)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=1464667021:fmbsr=2:i=185024:ins=7_2712 on theBenchmark for (2712ds/185024Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593749)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=1852324044:rtra=on_2708 on theBenchmark for (2708ds/0Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593751)% WARNING: option uhcvi not known.
% 182.33/31.99  % (1593751)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2132883086:i=271062:add=off:rtra=on:rawr=on_2703 on theBenchmark for (2703ds/271062Mi)
% 182.33/31.99  % Exception at run slice level
% 182.33/31.99  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 182.33/31.99  % (1593753)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4110908958:i=176048:add=on:rtra=on:rawr=on_2697 on theBenchmark for (2697ds/176048Mi)
% 182.33/31.99  % (1593327) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1593307-1593327"...
% 182.33/31.99  % (1593327)...printing done.
% 182.33/31.99  % (1593327)Refutation found. Thanks to Tanya!
% 182.33/31.99  % SZS status Theorem for theBenchmark
% 182.33/31.99  % SZS output start Proof for theBenchmark
% See solution above
% 182.33/32.01  % (1593327)------------------------------
% 182.33/32.01  % (1593327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.33/32.01  % (1593327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.33/32.01  % (1593327)CaDiCaL version: 2.1.3
% 182.33/32.01  % (1593327)Termination reason: Refutation
% 182.33/32.01  % (1593327)Time elapsed: 30.614 s
% 182.33/32.01  % (1593327)Peak memory usage: 168 MB
% 182.33/32.01  % (1593327)Instructions burned: 38956 (million)
% 182.33/32.01  % (1593307)Success in time 31.532 s
% 182.33/32.01  % Vampire exiting
%------------------------------------------------------------------------------