TSTP Solution File: ITP218_2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP218_2 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:51:07 EDT 2024

% Result   : Theorem 2.15s 1.95s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      : 1497
% Syntax   : Number of formulae    : 1578 (  26 unt;1473 typ;   0 def)
%            Number of atoms       :  228 (  89 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  219 (  96   ~;  92   |;   9   &)
%                                         (  17 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  : 1414 (1062   >; 352   *;   0   +;   0  <<)
%            Number of predicates  :  274 ( 272 usr;   7 prp; 0-7 aty)
%            Number of functors    : 1195 (1195 usr;  29 con; 0-7 aty)
%            Number of variables   : 2357 ( 122   !;   4   ?;2357   :)
%                                         (2231  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    heap_ext: $tType > $tType ).

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

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

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

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

tff(type_def_12,type,
    assn: $tType ).

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

tff(type_def_14,type,
    option: $tType > $tType ).

tff(type_def_15,type,
    filter: $tType > $tType ).

tff(type_def_16,type,
    char: $tType ).

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

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

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

tff(type_def_20,type,
    bool: $tType ).

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

tff(type_def_22,type,
    rat: $tType ).

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

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

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

tff(type_def_26,type,
    itself: $tType > $tType ).

tff(type_def_27,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_28,type,
    b: $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] : ( 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] : fun(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] : fun(X0,X1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_548,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_549,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

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

tff(func_def_551,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_552,type,
    array_freeze: 
      !>[X0: $tType] : ( array(X0) > heap_Time_Heap(list(X0)) ) ).

tff(func_def_553,type,
    array_get: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * array(X0) ) > list(X0) ) ).

tff(func_def_554,type,
    array_len: 
      !>[X0: $tType] : ( array(X0) > heap_Time_Heap(nat) ) ).

tff(func_def_555,type,
    array_make: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_556,type,
    array_new: 
      !>[X0: $tType] : ( ( nat * X0 ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_557,type,
    array_nth: 
      !>[X0: $tType] : ( ( array(X0) * nat ) > heap_Time_Heap(X0) ) ).

tff(func_def_558,type,
    array_of_list: 
      !>[X0: $tType] : ( list(X0) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_559,type,
    array_set: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_560,type,
    array_upd: 
      !>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(array(X0)) ) ).

tff(func_def_561,type,
    abs_assn: fun(fun(product_prod(heap_ext(product_unit),set(nat)),bool),assn) ).

tff(func_def_562,type,
    rep_assn: fun(assn,fun(product_prod(heap_ext(product_unit),set(nat)),bool)) ).

tff(func_def_563,type,
    entails: fun(assn,fun(assn,bool)) ).

tff(func_def_564,type,
    ex_assn: 
      !>[X0: $tType] : ( fun(X0,assn) > assn ) ).

tff(func_def_565,type,
    in_range: fun(product_prod(heap_ext(product_unit),set(nat)),bool) ).

tff(func_def_566,type,
    in_range_rel: fun(product_prod(heap_ext(product_unit),set(nat)),fun(product_prod(heap_ext(product_unit),set(nat)),bool)) ).

tff(func_def_567,type,
    one_assn_raw: fun(product_prod(heap_ext(product_unit),set(nat)),bool) ).

tff(func_def_568,type,
    one_assn_raw_rel: fun(product_prod(heap_ext(product_unit),set(nat)),fun(product_prod(heap_ext(product_unit),set(nat)),bool)) ).

tff(func_def_569,type,
    proper: fun(fun(product_prod(heap_ext(product_unit),set(nat)),bool),bool) ).

tff(func_def_570,type,
    pure_assn: bool > assn ).

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

tff(func_def_572,type,
    pure_assn_raw_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(bool,product_prod(X0,set(X1))),fun(product_prod(bool,product_prod(X0,set(X1))),bool)) ).

tff(func_def_573,type,
    snga_assn: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) ) > assn ) ).

tff(func_def_574,type,
    snga_assn_raw: 
      !>[X0: $tType] : ( ( array(X0) * list(X0) ) > fun(product_prod(heap_ext(product_unit),set(nat)),bool) ) ).

tff(func_def_575,type,
    snga_assn_raw_rel: 
      !>[X0: $tType] : fun(product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(array(X0),product_prod(list(X0),product_prod(heap_ext(product_unit),set(nat)))),bool)) ).

tff(func_def_576,type,
    sngr_assn: 
      !>[X0: $tType] : ( ( ref(X0) * X0 ) > assn ) ).

tff(func_def_577,type,
    sngr_assn_raw: 
      !>[X0: $tType] : ( ( ref(X0) * X0 ) > fun(product_prod(heap_ext(product_unit),set(nat)),bool) ) ).

tff(func_def_578,type,
    sngr_assn_raw_rel: 
      !>[X0: $tType] : fun(product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(ref(X0),product_prod(X0,product_prod(heap_ext(product_unit),set(nat)))),bool)) ).

tff(func_def_579,type,
    times_assn_raw: ( fun(product_prod(heap_ext(product_unit),set(nat)),bool) * fun(product_prod(heap_ext(product_unit),set(nat)),bool) ) > fun(product_prod(heap_ext(product_unit),set(nat)),bool) ).

tff(func_def_580,type,
    times_assn_raw_rel: fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(heap_ext(product_unit),set(nat)))),bool)) ).

tff(func_def_581,type,
    wand_assn: ( assn * assn ) > assn ).

tff(func_def_582,type,
    wand_raw: ( fun(product_prod(heap_ext(product_unit),set(nat)),bool) * fun(product_prod(heap_ext(product_unit),set(nat)),bool) ) > fun(product_prod(heap_ext(product_unit),set(nat)),bool) ).

tff(func_def_583,type,
    wand_raw_rel: fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(heap_ext(product_unit),set(nat)))),fun(product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(fun(product_prod(heap_ext(product_unit),set(nat)),bool),product_prod(heap_ext(product_unit),set(nat)))),bool)) ).

tff(func_def_584,type,
    sln: assn ).

tff(func_def_585,type,
    bNF_Cardinal_cexp: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(fun(X1,X0),fun(X1,X0))) ) ).

tff(func_def_586,type,
    bNF_Cardinal_czero: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_587,type,
    bNF_Ca6860139660246222851ard_of: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_588,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

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

tff(func_def_590,type,
    bNF_rel_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(X2,fun(X3,bool)) ) > fun(fun(X0,X2),fun(fun(X1,X3),bool)) ) ).

tff(func_def_591,type,
    bNF_rel_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(set(X0),fun(set(X1),bool)) ) ).

tff(func_def_592,type,
    bNF_Greatest_Shift: 
      !>[X0: $tType] : ( ( set(list(X0)) * X0 ) > set(list(X0)) ) ).

tff(func_def_593,type,
    bNF_Greatest_Succ: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) ) > set(X0) ) ).

tff(func_def_594,type,
    bNF_Greatest_shift: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X0),X1) * X0 * list(X0) ) > X1 ) ).

tff(func_def_595,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_596,type,
    bNF_We4925052301507509544nc_map: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).

tff(func_def_597,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_598,type,
    bNF_Wellorder_ordIso: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

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

tff(func_def_600,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_601,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_602,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_603,type,
    bNF_Wellorder_wo_suc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

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

tff(func_def_605,type,
    basic_rel_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(X2,fun(X3,bool)) ) > fun(product_prod(X0,X2),fun(product_prod(X1,X3),bool)) ) ).

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

tff(func_def_607,type,
    binomial: ( nat * nat ) > nat ).

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

tff(func_def_609,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_610,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_611,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_612,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_613,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_614,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_615,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_616,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_617,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_618,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_619,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_620,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_621,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( ( X0 * nat ) > bool ) ).

tff(func_def_622,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > bool ) ).

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

tff(func_def_624,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_625,type,
    comple187402453842119260l_fixp: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,bool)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_626,type,
    comple115746919287870866o_fixp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_627,type,
    comple6359979572994053840erates: 
      !>[X0: $tType] : ( fun(X0,X0) > set(X0) ) ).

tff(func_def_628,type,
    comple7038119648293358887notone: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X0,bool)),fun(fun(X1,fun(X1,bool)),fun(fun(X0,X1),bool))) ).

tff(func_def_629,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_630,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_631,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > set(X1) ) ).

tff(func_def_632,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_633,type,
    euclid6346220572633701492n_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_634,type,
    euclid7384307370059645450egment: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_635,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_636,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

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

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

tff(func_def_639,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_640,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_641,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_642,type,
    rel_filter: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(filter(X0),fun(filter(X1),bool)) ) ).

tff(func_def_643,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_644,type,
    finite_card: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_645,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),bool) ).

tff(func_def_646,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_647,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_648,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

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

tff(func_def_650,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_651,type,
    override_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_652,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

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

tff(func_def_654,type,
    gcd_Lcm: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_655,type,
    bounde2362111253966948842tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).

tff(func_def_656,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_673,type,
    groups_comm_monoid_G: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(fun(X1,X0),fun(set(X1),X0)) ) ).

tff(func_def_674,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

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

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

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

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

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

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

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

tff(func_def_682,type,
    arrays: 
      !>[X0: $tType] : ( ( heap_ext(X0) * typerep * nat ) > list(nat) ) ).

tff(func_def_683,type,
    lim: 
      !>[X0: $tType] : ( heap_ext(X0) > nat ) ).

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

tff(func_def_685,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_686,type,
    heap_Time_raise: 
      !>[X0: $tType] : ( list(char) > heap_Time_Heap(X0) ) ).

tff(func_def_687,type,
    heap_Time_return: 
      !>[X0: $tType] : ( X0 > heap_Time_Heap(X0) ) ).

tff(func_def_688,type,
    heap_Time_wait: nat > heap_Time_Heap(product_unit) ).

tff(func_def_689,type,
    hilbert_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X1,X0) ) ).

tff(func_def_690,type,
    if: 
      !>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).

tff(func_def_691,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_692,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

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

tff(func_def_694,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_695,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_696,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

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

tff(func_def_698,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_699,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_700,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_701,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_702,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_703,type,
    lattic5214292709420241887eutr_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_704,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(set(X0),X0) ) ).

tff(func_def_705,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

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

tff(func_def_707,type,
    abort_Bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,bool) ) > X0 ) ).

tff(func_def_708,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

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

tff(func_def_710,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)),bool)) ).

tff(func_def_711,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_712,type,
    butlast: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

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

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

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

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

tff(func_def_717,type,
    distinct_adj: 
      !>[X0: $tType] : fun(list(X0),bool) ).

tff(func_def_718,type,
    drop: 
      !>[X0: $tType] : fun(nat,fun(list(X0),list(X0))) ).

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

tff(func_def_720,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_721,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_722,type,
    filter2: 
      !>[X0: $tType] : fun(fun(X0,bool),fun(list(X0),list(X0))) ).

tff(func_def_723,type,
    find: 
      !>[X0: $tType] : fun(fun(X0,bool),fun(list(X0),option(X0))) ).

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

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

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

tff(func_def_727,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

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

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

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

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

tff(func_def_732,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,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,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X1,X0),fun(X1,fun(list(X1),list(X1)))) ) ).

tff(func_def_735,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X1,X0),fun(set(X1),list(X1))) ) ).

tff(func_def_736,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

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

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

tff(func_def_739,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_740,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

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

tff(func_def_742,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

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

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

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

tff(func_def_746,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,bool)),fun(list(X0),fun(list(X1),bool))) ).

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

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

tff(func_def_749,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

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

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

tff(func_def_752,type,
    list_ex: 
      !>[X0: $tType] : fun(fun(X0,bool),fun(list(X0),bool)) ).

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

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

tff(func_def_755,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_756,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(list(X0),fun(list(X1),bool)) ) ).

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

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

tff(func_def_759,type,
    listsp: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(list(X0),bool) ) ).

tff(func_def_760,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_761,type,
    map_project: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > set(X1) ) ).

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

tff(func_def_763,type,
    map_tailrec_rev: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_764,type,
    map_tailrec_rev_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,X1),product_prod(list(X0),list(X1))),bool)) ).

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

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

tff(func_def_767,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_768,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),bool)) ).

tff(func_def_769,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

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

tff(func_def_771,type,
    nths: 
      !>[X0: $tType] : fun(list(X0),fun(set(nat),list(X0))) ).

tff(func_def_772,type,
    null: 
      !>[X0: $tType] : fun(list(X0),bool) ).

tff(func_def_773,type,
    lexordp2: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(list(X0),fun(list(X0),bool)) ) ).

tff(func_def_774,type,
    lexordp_eq: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(list(X0),fun(list(X0),bool)) ) ).

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

tff(func_def_776,type,
    partition: 
      !>[X0: $tType] : fun(fun(X0,bool),fun(list(X0),product_prod(list(X0),list(X0)))) ).

tff(func_def_777,type,
    product: 
      !>[X0: $tType,X1: $tType] : fun(list(X0),fun(list(X1),list(product_prod(X0,X1)))) ).

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

tff(func_def_779,type,
    remdups: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_780,type,
    remdups_adj: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_781,type,
    remdups_adj_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),bool)) ).

tff(func_def_782,type,
    remove1: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

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

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

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

tff(func_def_786,type,
    rotate: 
      !>[X0: $tType] : fun(nat,fun(list(X0),list(X0))) ).

tff(func_def_787,type,
    rotate1: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_788,type,
    set_Cons: 
      !>[X0: $tType] : fun(set(X0),fun(set(list(X0)),set(list(X0)))) ).

tff(func_def_789,type,
    shuffles: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),set(list(X0)))) ).

tff(func_def_790,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),bool)) ).

tff(func_def_791,type,
    sorted_wrt_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),bool)) ).

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

tff(func_def_793,type,
    splice_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),bool)) ).

tff(func_def_794,type,
    subseqs: 
      !>[X0: $tType] : fun(list(X0),list(list(X0))) ).

tff(func_def_795,type,
    successively: 
      !>[X0: $tType] : fun(fun(X0,fun(X0,bool)),fun(list(X0),bool)) ).

tff(func_def_796,type,
    successively_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),bool)) ).

tff(func_def_797,type,
    take: 
      !>[X0: $tType] : fun(nat,fun(list(X0),list(X0))) ).

tff(func_def_798,type,
    takeWhile: 
      !>[X0: $tType] : fun(fun(X0,bool),fun(list(X0),list(X0))) ).

tff(func_def_799,type,
    those: 
      !>[X0: $tType] : fun(list(option(X0)),option(list(X0))) ).

tff(func_def_800,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_801,type,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),bool)) ).

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

tff(func_def_803,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_804,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_805,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_806,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).

tff(func_def_807,type,
    zip: 
      !>[X0: $tType,X1: $tType] : fun(list(X0),fun(list(X1),list(product_prod(X0,X1)))) ).

tff(func_def_808,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_809,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_810,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_811,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_812,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_813,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_814,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

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

tff(func_def_816,type,
    eps_Opt: 
      !>[X0: $tType] : ( fun(X0,bool) > option(X0) ) ).

tff(func_def_817,type,
    brk_rel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(product_prod(bool,X0),product_prod(bool,X1))) ) ).

tff(func_def_818,type,
    dflt_None_set: 
      !>[X0: $tType] : ( set(X0) > option(set(X0)) ) ).

tff(func_def_819,type,
    filter_rev: 
      !>[X0: $tType] : fun(fun(X0,bool),fun(list(X0),list(X0))) ).

tff(func_def_820,type,
    filter_rev_aux: 
      !>[X0: $tType] : ( list(X0) > fun(fun(X0,bool),fun(list(X0),list(X0))) ) ).

tff(func_def_821,type,
    fun_of_rel: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > X1 ) ).

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

tff(func_def_823,type,
    list_all_zip_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))),bool)) ).

tff(func_def_824,type,
    list_collect_set: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * list(X0) ) > set(X1) ) ).

tff(func_def_825,type,
    map_mmupd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) * X1 ) > fun(X0,option(X1)) ) ).

tff(func_def_826,type,
    map_to_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_827,type,
    merge: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_828,type,
    merge_list: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_829,type,
    merge_list_rel: 
      !>[X0: $tType] : fun(product_prod(list(list(X0)),list(list(X0))),fun(product_prod(list(list(X0)),list(list(X0))),bool)) ).

tff(func_def_830,type,
    merge_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),bool)) ).

tff(func_def_831,type,
    mergesort: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_832,type,
    mergesort_by_rel: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(list(X0),list(X0)) ) ).

tff(func_def_833,type,
    merges9089515139780605204_merge: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_834,type,
    merges2244889521215249637ge_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))),fun(product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))),bool)) ).

tff(func_def_835,type,
    mergesort_by_rel_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),bool)) ).

tff(func_def_836,type,
    merges295452479951948502_split: 
      !>[X0: $tType] : ( ( product_prod(list(X0),list(X0)) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_837,type,
    merges7066485432131860899it_rel: 
      !>[X0: $tType] : fun(product_prod(product_prod(list(X0),list(X0)),list(X0)),fun(product_prod(product_prod(list(X0),list(X0)),list(X0)),bool)) ).

tff(func_def_838,type,
    mergesort_remdups: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

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

tff(func_def_840,type,
    pairself_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),product_prod(X0,X0)),fun(product_prod(fun(X0,X1),product_prod(X0,X0)),bool)) ).

tff(func_def_841,type,
    partition_rev: 
      !>[X0: $tType] : ( ( fun(X0,bool) * product_prod(list(X0),list(X0)) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_842,type,
    partition_rev_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))),fun(product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))),bool)) ).

tff(func_def_843,type,
    quicksort_by_rel: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > fun(list(X0),list(X0)) ) ).

tff(func_def_844,type,
    quicksort_by_rel_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))),fun(product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))),bool)) ).

tff(func_def_845,type,
    rel_of: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(product_prod(X0,X1),bool) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_846,type,
    rel_restrict: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

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

tff(func_def_848,type,
    revg: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_849,type,
    revg_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),bool)) ).

tff(func_def_850,type,
    set_to_map: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_851,type,
    slice: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) ) > list(X0) ) ).

tff(func_def_852,type,
    the_default: 
      !>[X0: $tType] : ( ( X0 * option(X0) ) > X0 ) ).

tff(func_def_853,type,
    uncurry: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).

tff(func_def_854,type,
    zipf: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * list(X0) * list(X1) ) > list(X2) ) ).

tff(func_def_855,type,
    zipf_rel: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(product_prod(fun(X0,fun(X1,X2)),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,fun(X1,X2)),product_prod(list(X0),list(X1))),bool)) ).

tff(func_def_856,type,
    add_mset: 
      !>[X0: $tType] : ( ( X0 * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_857,type,
    comm_m7189776963980413722m_mset: 
      !>[X0: $tType] : ( multiset(X0) > X0 ) ).

tff(func_def_858,type,
    comm_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(multiset(X0),X0) ) ).

tff(func_def_859,type,
    comm_m9189036328036947845d_mset: 
      !>[X0: $tType] : fun(multiset(X0),X0) ).

tff(func_def_860,type,
    fold_mset: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * multiset(X0) ) > X1 ) ).

tff(func_def_861,type,
    image_mset: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * multiset(X0) ) > multiset(X1) ) ).

tff(func_def_862,type,
    inter_mset: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_863,type,
    linorder_part: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > product_prod(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_864,type,
    linord6283353356039996273ltiset: 
      !>[X0: $tType] : ( multiset(X0) > list(X0) ) ).

tff(func_def_865,type,
    mset: 
      !>[X0: $tType] : ( list(X0) > multiset(X0) ) ).

tff(func_def_866,type,
    mset_set: 
      !>[X0: $tType] : ( set(X0) > multiset(X0) ) ).

tff(func_def_867,type,
    count: 
      !>[X0: $tType] : ( multiset(X0) > fun(X0,nat) ) ).

tff(func_def_868,type,
    replicate_mset: 
      !>[X0: $tType] : ( ( nat * X0 ) > multiset(X0) ) ).

tff(func_def_869,type,
    set_mset: 
      !>[X0: $tType] : ( multiset(X0) > set(X0) ) ).

tff(func_def_870,type,
    subset_eq_mset_impl: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > option(bool) ) ).

tff(func_def_871,type,
    subset751672762298770561pl_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),bool)) ).

tff(func_def_872,type,
    subseteq_mset: 
      !>[X0: $tType] : fun(multiset(X0),fun(multiset(X0),bool)) ).

tff(func_def_873,type,
    union_mset: 
      !>[X0: $tType] : ( ( multiset(X0) * multiset(X0) ) > multiset(X0) ) ).

tff(func_def_874,type,
    wcount: 
      !>[X0: $tType] : ( ( fun(X0,nat) * multiset(X0) ) > fun(X0,nat) ) ).

tff(func_def_875,type,
    suc: fun(nat,nat) ).

tff(func_def_876,type,
    compow: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_877,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_878,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_879,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_880,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_881,type,
    bitM: num > num ).

tff(func_def_882,type,
    inc: num > num ).

tff(func_def_883,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_884,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_885,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_886,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_887,type,
    bit0: num > num ).

tff(func_def_888,type,
    bit1: num > num ).

tff(func_def_889,type,
    one2: num ).

tff(func_def_890,type,
    num_of_nat: nat > num ).

tff(func_def_891,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_892,type,
    pred_numeral: num > nat ).

tff(func_def_893,type,
    sqr: num > num ).

tff(func_def_894,type,
    none: 
      !>[X0: $tType] : option(X0) ).

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

tff(func_def_896,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_897,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) ) > option(X1) ) ).

tff(func_def_898,type,
    rel_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(option(X0),fun(option(X1),bool)) ) ).

tff(func_def_899,type,
    set_option: 
      !>[X0: $tType] : ( option(X0) > set(X0) ) ).

tff(func_def_900,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_901,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_902,type,
    order_AboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_903,type,
    order_above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_904,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

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

tff(func_def_906,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_907,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X0,bool),X0) ) ).

tff(func_def_908,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_909,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_910,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_911,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_912,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_913,type,
    mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X0,X1),bool) ) ).

tff(func_def_914,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_915,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_916,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_917,type,
    partial_fun_lub: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(set(X0),X1),fun(set(fun(X2,X0)),fun(X2,X1))) ).

tff(func_def_918,type,
    partial_fun_ord: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,bool)),fun(fun(X2,X0),fun(fun(X2,X1),bool))) ).

tff(func_def_919,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_920,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_921,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_922,type,
    product_Unity: product_unit ).

tff(func_def_923,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_924,type,
    product_curry: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).

tff(func_def_925,type,
    product_map_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(product_prod(X0,X2),product_prod(X1,X3)) ) ).

tff(func_def_926,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).

tff(func_def_927,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_928,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_929,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_930,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_931,type,
    linorder_quicksort: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_932,type,
    linord6200660962353139674rt_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),bool)) ).

tff(func_def_933,type,
    select: 
      !>[X0: $tType] : ( list(X0) > fun(product_prod(code_natural,code_natural),product_prod(X0,product_prod(code_natural,code_natural))) ) ).

tff(func_def_934,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_935,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : ( rat > X0 ) ).

tff(func_def_936,type,
    ref_get: 
      !>[X0: $tType] : ( ( heap_ext(product_unit) * ref(X0) ) > X0 ) ).

tff(func_def_937,type,
    ref_lookup: 
      !>[X0: $tType] : ( ref(X0) > heap_Time_Heap(X0) ) ).

tff(func_def_938,type,
    ref_ref: 
      !>[X0: $tType] : ( X0 > heap_Time_Heap(ref(X0)) ) ).

tff(func_def_939,type,
    ref_set: 
      !>[X0: $tType] : ( ( ref(X0) * X0 * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).

tff(func_def_940,type,
    ref_update: 
      !>[X0: $tType] : ( ( ref(X0) * X0 ) > heap_Time_Heap(product_unit) ) ).

tff(func_def_941,type,
    domain: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(X0) ) ).

tff(func_def_942,type,
    domainp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(X0,bool) ) ).

tff(func_def_943,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_944,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_945,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_946,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_947,type,
    range: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(X1) ) ).

tff(func_def_948,type,
    rangep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(X1,bool) ) ).

tff(func_def_949,type,
    converse: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(X1,X0)) ) ).

tff(func_def_950,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_951,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_952,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_953,type,
    dvd_dvd: 
      !>[X0: $tType] : ( ( X0 * X0 ) > bool ) ).

tff(func_def_954,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_955,type,
    normal6383669964737779283malize: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_956,type,
    unit_f5069060285200089521factor: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_957,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun(bool,X0) ).

tff(func_def_958,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > set(X0) ) ).

tff(func_def_959,type,
    pow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_960,type,
    bind2: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(X1) ) ).

tff(func_def_961,type,
    disjnt: 
      !>[X0: $tType] : fun(set(X0),fun(set(X0),bool)) ).

tff(func_def_962,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(X0) ) > set(X0) ) ).

tff(func_def_963,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_964,type,
    insert2: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_965,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_966,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_967,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X1),set(X0))) ).

tff(func_def_968,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_969,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_970,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_971,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_972,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_973,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_974,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_975,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_976,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_977,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_978,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_979,type,
    transitive_rtrancl: 
      !>[X0: $tType] : fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))) ).

tff(func_def_980,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_981,type,
    vEBT_List_list_assn: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,assn)) * list(X0) * list(X1) ) > assn ) ).

tff(func_def_982,type,
    vEBT_L4249061453398456502sn_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))),fun(product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))),bool)) ).

tff(func_def_983,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_984,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_985,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_986,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_987,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

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

tff(func_def_989,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_990,type,
    fEx: 
      !>[X0: $tType] : fun(fun(X0,bool),bool) ).

tff(func_def_991,type,
    fFalse: bool ).

tff(func_def_992,type,
    fNot: fun(bool,bool) ).

tff(func_def_993,type,
    fTrue: bool ).

tff(func_def_994,type,
    fconj: ( bool * bool ) > bool ).

tff(func_def_995,type,
    fdisj: ( bool * bool ) > bool ).

tff(func_def_996,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_997,type,
    member2: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > bool ) ).

tff(func_def_998,type,
    p: fun(a,fun(b,assn)) ).

tff(func_def_999,type,
    l: list(b) ).

tff(func_def_1000,type,
    sK4: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1001,type,
    sK5: ( assn * bool ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1002,type,
    sK6: ( assn * bool ) > product_prod(heap_ext(product_unit),set(nat)) ).

tff(func_def_1003,type,
    sK7: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_1004,type,
    sK8: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1005,type,
    sK9: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1006,type,
    sK10: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1007,type,
    sK11: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_1008,type,
    sK12: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1009,type,
    sK13: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_1010,type,
    sK14: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1011,type,
    sK15: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1012,type,
    sK16: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_1013,type,
    sK17: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1014,type,
    sK18: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_1015,type,
    sK19: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_1016,type,
    sK20: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > list(X0) ) ).

tff(func_def_1017,type,
    sK21: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1018,type,
    sK22: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_1019,type,
    sK23: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1020,type,
    sK24: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1021,type,
    sK25: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > X0 ) ).

tff(func_def_1022,type,
    sK26: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > list(X0) ) ).

tff(func_def_1023,type,
    sK27: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),list(X0)) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1024,type,
    sK28: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1025,type,
    sK29: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1026,type,
    sK30: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > X0 ) ).

tff(func_def_1027,type,
    sK31: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > X0 ) ).

tff(func_def_1028,type,
    sK32: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1029,type,
    sK33: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1030,type,
    sK34: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1031,type,
    sK35: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > X0 ) ).

tff(func_def_1032,type,
    sK36: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1033,type,
    sK37: 
      !>[X0: $tType] : ( product_prod(product_prod(list(X0),list(X0)),list(X0)) > list(X0) ) ).

tff(func_def_1034,type,
    sK38: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > fun(X0,bool) ) ).

tff(func_def_1035,type,
    sK39: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_1036,type,
    sK40: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_1037,type,
    sK41: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > X0 ) ).

tff(func_def_1038,type,
    sK42: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_1039,type,
    sK43: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > fun(X0,bool) ) ).

tff(func_def_1040,type,
    sK44: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_1041,type,
    sK45: 
      !>[X0: $tType] : ( product_prod(fun(X0,bool),product_prod(product_prod(list(X0),list(X0)),list(X0))) > list(X0) ) ).

tff(func_def_1042,type,
    sK46: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,bool)) ) ).

tff(func_def_1043,type,
    sK47: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > X1 ) ).

tff(func_def_1044,type,
    sK48: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_1045,type,
    sK49: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,bool)) ) ).

tff(func_def_1046,type,
    sK50: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_1047,type,
    sK51: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_1048,type,
    sK52: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,bool)) ) ).

tff(func_def_1049,type,
    sK53: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_1050,type,
    sK54: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_1051,type,
    sK55: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > X1 ) ).

tff(func_def_1052,type,
    sK56: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_1053,type,
    sK57: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,bool)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,bool)) ) ).

tff(func_def_1054,type,
    sK58: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1055,type,
    sK59: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1056,type,
    sK60: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_1057,type,
    sK61: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1058,type,
    sK62: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1059,type,
    sK63: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1060,type,
    sK64: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1061,type,
    sK65: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_1062,type,
    sK66: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1063,type,
    sK67: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1064,type,
    sK68: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1065,type,
    sK69: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > fun(X0,fun(X0,bool)) ) ).

tff(func_def_1066,type,
    sK70: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_1067,type,
    sK71: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1068,type,
    sK72: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > X0 ) ).

tff(func_def_1069,type,
    sK73: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,bool)),product_prod(list(X0),list(X0))) > list(X0) ) ).

tff(func_def_1070,type,
    sK74: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,assn)) ) ).

tff(func_def_1071,type,
    sK75: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > X1 ) ).

tff(func_def_1072,type,
    sK76: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_1073,type,
    sK77: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,assn)) ) ).

tff(func_def_1074,type,
    sK78: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_1075,type,
    sK79: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_1076,type,
    sK80: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,assn)) ) ).

tff(func_def_1077,type,
    sK81: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_1078,type,
    sK82: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_1079,type,
    sK83: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > X1 ) ).

tff(func_def_1080,type,
    sK84: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_1081,type,
    sK85: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,fun(X1,assn)),product_prod(list(X0),list(X1))) > fun(X0,fun(X1,assn)) ) ).

tff(func_def_1082,type,
    sK86: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_1083,type,
    sK87: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X2 ) ).

tff(func_def_1084,type,
    sK88: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X2) ) ).

tff(func_def_1085,type,
    sK89: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_1086,type,
    sK90: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X1 ) ).

tff(func_def_1087,type,
    sK91: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X1) ) ).

tff(func_def_1088,type,
    sK92: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_1089,type,
    sK93: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X1 ) ).

tff(func_def_1090,type,
    sK94: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X1) ) ).

tff(func_def_1091,type,
    sK95: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > X2 ) ).

tff(func_def_1092,type,
    sK96: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > list(X2) ) ).

tff(func_def_1093,type,
    sK97: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(fun(X1,fun(X2,X0)),product_prod(list(X1),list(X2))) > fun(X1,fun(X2,X0)) ) ).

tff(func_def_1094,type,
    sK98: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_1095,type,
    sK99: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_1096,type,
    sK100: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_1097,type,
    sK101: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_1098,type,
    sK102: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_1099,type,
    sK103: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_1100,type,
    sK104: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1101,type,
    sK105: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_1102,type,
    sK106: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_1103,type,
    sK107: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_1104,type,
    sK108: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_1105,type,
    sK109: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_1106,type,
    sK110: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_1107,type,
    sK111: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > X1 ) ).

tff(func_def_1108,type,
    sK112: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > list(X1) ) ).

tff(func_def_1109,type,
    sK113: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > X0 ) ).

tff(func_def_1110,type,
    sK114: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > list(X0) ) ).

tff(func_def_1111,type,
    sK115: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > X2 ) ).

tff(func_def_1112,type,
    sK116: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),bool))) > list(X2) ) ).

tff(func_def_1113,type,
    sK117: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > X1 ) ).

tff(func_def_1114,type,
    sK118: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > list(X1) ) ).

tff(func_def_1115,type,
    sK119: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > X2 ) ).

tff(func_def_1116,type,
    sK120: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > list(X2) ) ).

tff(func_def_1117,type,
    sK121: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > X0 ) ).

tff(func_def_1118,type,
    sK122: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > list(X0) ) ).

tff(func_def_1119,type,
    sK123: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > X3 ) ).

tff(func_def_1120,type,
    sK124: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),bool)))) > list(X3) ) ).

tff(func_def_1121,type,
    sK125: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1122,type,
    sK126: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1123,type,
    sK127: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_1124,type,
    sK128: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_1125,type,
    sK129: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_1126,type,
    sK130: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_1127,type,
    sK131: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_1128,type,
    sK132: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_1129,type,
    sK133: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_1130,type,
    sK134: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_1131,type,
    sK135: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_1132,type,
    sK136: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_1133,type,
    sK137: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X1),fun(list(X0),bool)) * fun(X1,fun(X0,bool)) ) > X1 ) ).

tff(func_def_1134,type,
    sK138: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X1),fun(list(X0),bool)) * fun(X1,fun(X0,bool)) ) > list(X1) ) ).

tff(func_def_1135,type,
    sK139: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X1),fun(list(X0),bool)) * fun(X1,fun(X0,bool)) ) > X0 ) ).

tff(func_def_1136,type,
    sK140: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X1),fun(list(X0),bool)) * fun(X1,fun(X0,bool)) ) > list(X0) ) ).

tff(func_def_1137,type,
    sK141: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X0),fun(list(X1),bool)) * fun(X0,fun(X1,bool)) ) > X0 ) ).

tff(func_def_1138,type,
    sK142: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X0),fun(list(X1),bool)) * fun(X0,fun(X1,bool)) ) > list(X0) ) ).

tff(func_def_1139,type,
    sK143: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X0),fun(list(X1),bool)) * fun(X0,fun(X1,bool)) ) > X1 ) ).

tff(func_def_1140,type,
    sK144: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X0),fun(list(X1),bool)) * fun(X0,fun(X1,bool)) ) > list(X1) ) ).

tff(func_def_1141,type,
    sK145: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_1142,type,
    sK146: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_1143,type,
    sK147: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1144,type,
    sK148: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1145,type,
    sK149: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1146,type,
    sK150: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1147,type,
    sK151: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1148,type,
    sK152: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1149,type,
    sK153: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1150,type,
    sK154: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1151,type,
    sK155: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_1152,type,
    sK156: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_1153,type,
    sK157: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_1154,type,
    sK158: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_1155,type,
    sK159: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X1 ) ).

tff(func_def_1156,type,
    sK160: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X1) ) ).

tff(func_def_1157,type,
    sK161: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > X0 ) ).

tff(func_def_1158,type,
    sK162: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),bool)) > list(X0) ) ).

tff(func_def_1159,type,
    sK163: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_1160,type,
    sK164: 
      !>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).

tff(func_def_1161,type,
    sK165: 
      !>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).

tff(func_def_1162,type,
    sK166: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_1163,type,
    sK167: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1164,type,
    sK168: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1165,type,
    sK169: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1166,type,
    sK170: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1167,type,
    sK171: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1168,type,
    sK172: 
      !>[X0: $tType,X1: $tType] : ( ( assn * fun(X1,fun(X0,assn)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_1169,type,
    sK173: 
      !>[X0: $tType,X1: $tType] : ( ( assn * fun(X1,fun(X0,assn)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_1170,type,
    sK174: 
      !>[X0: $tType,X1: $tType] : ( ( assn * fun(X1,fun(X0,assn)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_1171,type,
    sK175: 
      !>[X0: $tType,X1: $tType] : ( ( assn * fun(X1,fun(X0,assn)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_1172,type,
    sK176: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1173,type,
    sK177: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1174,type,
    sK178: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1175,type,
    sF179: list(a) ).

tff(func_def_1176,type,
    sF180: assn ).

tff(func_def_1177,type,
    sF181: fun(list(b),fun(list(b),bool)) ).

tff(func_def_1178,type,
    sF182: fun(list(b),bool) ).

tff(func_def_1179,type,
    sF183: list(b) ).

tff(func_def_1180,type,
    sF184: bool ).

tff(func_def_1181,type,
    sF185: assn ).

tff(pred_def_1,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    heap: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    minus: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    times: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    normal8620421768224518004emidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    bounded_lattice_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    semido2269285787275462019factor: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    normal6328177297339901930cative: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    entailst: ( assn * assn ) > $o ).

tff(pred_def_142,type,
    is_pure_assn: assn > $o ).

tff(pred_def_143,type,
    precise: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,assn)) > $o ) ).

tff(pred_def_144,type,
    relH: ( set(nat) * heap_ext(product_unit) * heap_ext(product_unit) ) > $o ).

tff(pred_def_145,type,
    fi: ( list(product_prod(assn,assn)) * assn * assn * assn * assn * assn ) > $o ).

tff(pred_def_146,type,
    fI_QUERY: ( assn * assn * assn ) > $o ).

tff(pred_def_147,type,
    fI_RESULT: ( list(product_prod(assn,assn)) * assn * assn * assn ) > $o ).

tff(pred_def_148,type,
    bNF_Ca8970107618336181345der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_149,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_150,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_151,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_152,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_153,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > $o ) ).

tff(pred_def_154,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_155,type,
    boolea6902313364301356556axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_156,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_157,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_158,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,bool)) * fun(X0,bool) ) > $o ) ).

tff(pred_def_159,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).

tff(pred_def_160,type,
    condit8047198070973881523_above: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).

tff(pred_def_161,type,
    condit8119078960628432327_below: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).

tff(pred_def_162,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_163,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_164,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_165,type,
    equiv_congruent2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,fun(X1,X2)) ) > $o ) ).

tff(pred_def_166,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_167,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,bool) * filter(X0) ) > $o ) ).

tff(pred_def_168,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_169,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_170,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_171,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_172,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > $o ) ).

tff(pred_def_173,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_174,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_175,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_176,type,
    bounde8507323023520639062attice: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_177,type,
    bounde6485984586167503788ce_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_178,type,
    abel_semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_179,type,
    abel_s757365448890700780axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_180,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_181,type,
    comm_monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_182,type,
    group: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_183,type,
    group_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_184,type,
    monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_185,type,
    monoid_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_186,type,
    semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_187,type,
    groups778175481326437816id_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_188,type,
    groups1828464146339083142d_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_189,type,
    groups4802862169904069756st_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_190,type,
    groups_monoid_list: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_191,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_192,type,
    uniq: 
      !>[X0: $tType] : ( fun(X0,bool) > $o ) ).

tff(pred_def_193,type,
    hoare_hoare_triple: 
      !>[X0: $tType] : ( ( assn * heap_Time_Heap(X0) * fun(X0,assn) ) > $o ) ).

tff(pred_def_194,type,
    semilattice: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_195,type,
    semilattice_axioms: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_196,type,
    semilattice_neutr: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_197,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_198,type,
    semilattice_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_199,type,
    semila6385135966242565138axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_200,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_201,type,
    lattic5652469242046573047tr_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_202,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_203,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_204,type,
    all_interval_int: ( fun(int,bool) * int * int ) > $o ).

tff(pred_def_205,type,
    all_interval_nat: ( fun(nat,bool) * nat * nat ) > $o ).

tff(pred_def_206,type,
    can_select: 
      !>[X0: $tType] : ( ( fun(X0,bool) * set(X0) ) > $o ) ).

tff(pred_def_207,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_208,type,
    foldin3648464208017769352axioms: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_209,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_210,type,
    linord3483353639454293061rt_key: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X0,X1),fun(list(X0),list(X0))) > $o ) ).

tff(pred_def_211,type,
    list_ex1: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_212,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_213,type,
    member: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > $o ) ).

tff(pred_def_214,type,
    ord_lexordp_eq: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_215,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > $o ) ).

tff(pred_def_216,type,
    map_le: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > $o ) ).

tff(pred_def_217,type,
    bijective: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_218,type,
    list_all_zip: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_219,type,
    su_rel_fun: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_220,type,
    comm_monoid_mset: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_221,type,
    neg_numeral_is_num: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_222,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_223,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_224,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_225,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_226,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_227,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_228,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_229,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_230,type,
    ordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_231,type,
    ordering_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_232,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * X0 ) > $o ) ).

tff(pred_def_233,type,
    ordering_top_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 ) > $o ) ).

tff(pred_def_234,type,
    partial_preordering: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).

tff(pred_def_235,type,
    preordering: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_236,type,
    preordering_axioms: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).

tff(pred_def_237,type,
    partia7178651479351089652itions: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(set(X0),X0) ) > $o ) ).

tff(pred_def_238,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_239,type,
    asym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_240,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_241,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_242,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_243,type,
    sym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_244,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_245,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_246,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).

tff(pred_def_247,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_248,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_249,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_250,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).

tff(pred_def_251,type,
    syntax_ac_operator: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_252,type,
    syntax7388354845996824322omatch: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_253,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > $o ) ).

tff(pred_def_254,type,
    bi_unique: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > $o ) ).

tff(pred_def_255,type,
    right_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > $o ) ).

tff(pred_def_256,type,
    transitive_acyclic: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_257,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_258,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 ) > $o ) ).

tff(pred_def_259,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_260,type,
    wfP: 
      !>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).

tff(pred_def_261,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).

tff(pred_def_262,type,
    pp: bool > $o ).

tff(pred_def_263,type,
    sP0: 
      !>[X0: $tType,X1: $tType] : ( ( fun(list(X1),fun(list(X0),bool)) * fun(X1,fun(X0,bool)) ) > $o ) ).

tff(pred_def_264,type,
    sP1: 
      !>[X0: $tType,X1: $tType] : ( ( assn * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_265,type,
    sP2: 
      !>[X0: $tType,X1: $tType] : ( ( assn * fun(X1,fun(X0,assn)) * list(X0) * list(X1) ) > $o ) ).

tff(pred_def_266,type,
    sP3: 
      !>[X0: $tType,X1: $tType] : ( ( assn * list(X0) * list(X1) ) > $o ) ).

tff(f9131,plain,
    $false,
    inference(avatar_sat_refutation,[],[f8238,f8257,f8433,f8442,f8478,f8627,f9049,f9130]) ).

tff(f9130,plain,
    ( spl186_3
    | ~ spl186_15 ),
    inference(avatar_contradiction_clause,[],[f9129]) ).

tff(f9129,plain,
    ( $false
    | spl186_3
    | ~ spl186_15 ),
    inference(subsumption_resolution,[],[f9127,f7777]) ).

tff(f7777,plain,
    ( ~ pp(sF184)
    | spl186_3 ),
    inference(avatar_component_clause,[],[f7776]) ).

tff(f7776,plain,
    ( spl186_3
  <=> pp(sF184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl186_3])]) ).

tff(f9127,plain,
    ( pp(sF184)
    | ~ spl186_15 ),
    inference(superposition,[],[f8371,f9071]) ).

tff(f9071,plain,
    ( ( sF184 = aa(list(b),bool,sF182,l) )
    | ~ spl186_15 ),
    inference(superposition,[],[f7743,f8441]) ).

tff(f8441,plain,
    ( ( l = sF183 )
    | ~ spl186_15 ),
    inference(avatar_component_clause,[],[f8439]) ).

tff(f8439,plain,
    ( spl186_15
  <=> ( l = sF183 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl186_15])]) ).

tff(f7743,plain,
    aa(list(b),bool,sF182,sF183) = sF184,
    introduced(function_definition,[new_symbols(definition,[sF184])]) ).

tff(f8371,plain,
    pp(aa(list(b),bool,sF182,l)),
    inference(superposition,[],[f7931,f7741]) ).

tff(f7741,plain,
    aa(list(b),fun(list(b),bool),sF181,l) = sF182,
    introduced(function_definition,[new_symbols(definition,[sF182])]) ).

tff(f7931,plain,
    ! [X0: list(b)] : pp(aa(list(b),bool,aa(list(b),fun(list(b),bool),sF181,X0),X0)),
    inference(superposition,[],[f7734,f7740]) ).

tff(f7740,plain,
    fequal(list(b)) = sF181,
    introduced(function_definition,[new_symbols(definition,[sF181])]) ).

tff(f7734,plain,
    ! [X0: $tType,X2: X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X2)),
    inference(equality_resolution,[],[f7706]) ).

tff(f7706,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2))
      | ( X1 != X2 ) ),
    inference(cnf_transformation,[],[f7335]) ).

tff(f7335,plain,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2))
      | ( X1 != X2 ) ),
    inference(rectify,[],[f7266]) ).

tff(f7266,axiom,
    ! [X0: $tType,X22: X0,X10: X0] :
      ( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X22),X10))
      | ( X10 != X22 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',help_fequal_2_1_T) ).

tff(f9049,plain,
    ~ spl186_21,
    inference(avatar_contradiction_clause,[],[f9048]) ).

tff(f9048,plain,
    ( $false
    | ~ spl186_21 ),
    inference(trivial_inequality_removal,[],[f9039]) ).

tff(f9039,plain,
    ( ( sF185 != sF185 )
    | ~ spl186_21 ),
    inference(superposition,[],[f8477,f7744]) ).

tff(f7744,plain,
    pure_assn(sF184) = sF185,
    introduced(function_definition,[new_symbols(definition,[sF185])]) ).

tff(f8477,plain,
    ( ! [X0: bool] : ( pure_assn(X0) != sF185 )
    | ~ spl186_21 ),
    inference(avatar_component_clause,[],[f8476]) ).

tff(f8476,plain,
    ( spl186_21
  <=> ! [X0: bool] : ( pure_assn(X0) != sF185 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl186_21])]) ).

tff(f8627,plain,
    ( spl186_15
    | ~ spl186_9 ),
    inference(avatar_split_clause,[],[f8613,f8234,f8439]) ).

tff(f8234,plain,
    ( spl186_9
  <=> ( bot_bot(assn) = sF185 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl186_9])]) ).

tff(f8613,plain,
    ( ( l = sF183 )
    | ~ spl186_9 ),
    inference(superposition,[],[f7742,f8611]) ).

tff(f8611,plain,
    ( ( l = nil(b) )
    | ~ spl186_9 ),
    inference(subsumption_resolution,[],[f8603,f7745]) ).

tff(f7745,plain,
    sF180 != sF185,
    inference(definition_folding,[],[f7580,f7744,f7743,f7742,f7741,f7740,f7739,f7738]) ).

tff(f7738,plain,
    nil(a) = sF179,
    introduced(function_definition,[new_symbols(definition,[sF179])]) ).

tff(f7739,plain,
    vEBT_List_list_assn(a,b,p,sF179,l) = sF180,
    introduced(function_definition,[new_symbols(definition,[sF180])]) ).

tff(f7580,plain,
    vEBT_List_list_assn(a,b,p,nil(a),l) != pure_assn(aa(list(b),bool,aa(list(b),fun(list(b),bool),fequal(list(b)),l),nil(b))),
    inference(cnf_transformation,[],[f7271]) ).

tff(f7271,plain,
    vEBT_List_list_assn(a,b,p,nil(a),l) != pure_assn(aa(list(b),bool,aa(list(b),fun(list(b),bool),fequal(list(b)),l),nil(b))),
    inference(flattening,[],[f7270]) ).

tff(f7270,negated_conjecture,
    ( ~ vEBT_List_list_assn(a,b,p,nil(a),l) = pure_assn(aa(list(b),bool,aa(list(b),fun(list(b),bool),fequal(list(b)),l),nil(b))) ),
    inference(negated_conjecture,[],[f7269]) ).

tff(f7269,conjecture,
    vEBT_List_list_assn(a,b,p,nil(a),l) = pure_assn(aa(list(b),bool,aa(list(b),fun(list(b),bool),fequal(list(b)),l),nil(b))),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',conj_0) ).

tff(f8603,plain,
    ( ( sF180 = sF185 )
    | ( l = nil(b) )
    | ~ spl186_9 ),
    inference(superposition,[],[f8592,f7739]) ).

tff(f8592,plain,
    ( ! [X0: $tType,X2: list(X0),X1: fun(a,fun(X0,assn))] :
        ( ( sF185 = vEBT_List_list_assn(a,X0,X1,sF179,X2) )
        | ( nil(X0) = X2 ) )
    | ~ spl186_9 ),
    inference(superposition,[],[f8578,f7738]) ).

tff(f8578,plain,
    ( ! [X0: $tType,X2: $tType,X3: fun(X2,fun(X0,assn)),X1: list(X0)] :
        ( ( sF185 = vEBT_List_list_assn(X2,X0,X3,nil(X2),X1) )
        | ( nil(X0) = X1 ) )
    | ~ spl186_9 ),
    inference(forward_demodulation,[],[f8575,f8235]) ).

tff(f8235,plain,
    ( ( bot_bot(assn) = sF185 )
    | ~ spl186_9 ),
    inference(avatar_component_clause,[],[f8234]) ).

tff(f8575,plain,
    ! [X0: $tType,X2: $tType,X3: fun(X2,fun(X0,assn)),X1: list(X0)] :
      ( ( bot_bot(assn) = vEBT_List_list_assn(X2,X0,X3,nil(X2),X1) )
      | ( nil(X0) = X1 ) ),
    inference(superposition,[],[f7703,f7664]) ).

tff(f7664,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK125(X0,X1)),sK126(X0,X1)) = X1 )
      | ( nil(X0) = X1 ) ),
    inference(cnf_transformation,[],[f7519]) ).

tff(f7519,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK125(X0,X1)),sK126(X0,X1)) = X1 )
      | ( nil(X0) = X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK125,sK126])],[f7392,f7518]) ).

tff(f7518,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ? [X2: X0,X3: list(X0)] : ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X2),X3) = X1 )
     => ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK125(X0,X1)),sK126(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f7392,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ? [X2: X0,X3: list(X0)] : ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X2),X3) = X1 )
      | ( nil(X0) = X1 ) ),
    inference(ennf_transformation,[],[f7317]) ).

tff(f7317,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ( nil(X0) != X1 )
     => ~ ! [X2: X0,X3: list(X0)] : ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X2),X3) != X1 ) ),
    inference(rectify,[],[f39]) ).

tff(f39,axiom,
    ! [X0: $tType,X47: list(X0)] :
      ( ( nil(X0) != X47 )
     => ~ ! [X25: X0,X26: list(X0)] : ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X25),X26) != X47 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_38_neq__NilE) ).

tff(f7703,plain,
    ! [X1: $tType,X0: $tType,X2: fun(X1,fun(X0,assn)),X3: X0,X4: list(X0)] : ( bot_bot(assn) = vEBT_List_list_assn(X1,X0,X2,nil(X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4)) ),
    inference(cnf_transformation,[],[f7332]) ).

tff(f7332,plain,
    ! [X0: $tType,X1: $tType,X2: fun(X1,fun(X0,assn)),X3: X0,X4: list(X0)] : ( bot_bot(assn) = vEBT_List_list_assn(X1,X0,X2,nil(X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4)) ),
    inference(rectify,[],[f10]) ).

tff(f10,axiom,
    ! [X2: $tType,X0: $tType,X15: fun(X0,fun(X2,assn)),X16: X2,X17: list(X2)] : ( vEBT_List_list_assn(X0,X2,X15,nil(X0),aa(list(X2),list(X2),aa(X2,fun(list(X2),list(X2)),cons(X2),X16),X17)) = bot_bot(assn) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_9_list__assn_Osimps_I4_J) ).

tff(f7742,plain,
    nil(b) = sF183,
    introduced(function_definition,[new_symbols(definition,[sF183])]) ).

tff(f8478,plain,
    ( spl186_3
    | spl186_21
    | spl186_9 ),
    inference(avatar_split_clause,[],[f8474,f8234,f8476,f7776]) ).

tff(f8474,plain,
    ( ! [X0: bool] :
        ( ( pure_assn(X0) != sF185 )
        | pp(sF184) )
    | spl186_9 ),
    inference(subsumption_resolution,[],[f7790,f8266]) ).

tff(f8266,plain,
    ( ! [X0: bool] :
        ( ( pure_assn(X0) != sF185 )
        | pp(X0) )
    | spl186_9 ),
    inference(superposition,[],[f8236,f7619]) ).

tff(f7619,plain,
    ! [X0: bool] :
      ( ( bot_bot(assn) = pure_assn(X0) )
      | pp(X0) ),
    inference(cnf_transformation,[],[f7443]) ).

tff(f7443,plain,
    ! [X0: bool] :
      ( ( ( bot_bot(assn) = pure_assn(X0) )
        | pp(X0) )
      & ( ~ pp(X0)
        | ( bot_bot(assn) != pure_assn(X0) ) ) ),
    inference(nnf_transformation,[],[f7288]) ).

tff(f7288,plain,
    ! [X0: bool] :
      ( ( bot_bot(assn) = pure_assn(X0) )
    <=> ~ pp(X0) ),
    inference(rectify,[],[f15]) ).

tff(f15,axiom,
    ! [X7: bool] :
      ( ( pure_assn(X7) = bot_bot(assn) )
    <=> ~ pp(X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_14_pure__assn__eq__false__iff) ).

tff(f8236,plain,
    ( ( bot_bot(assn) != sF185 )
    | spl186_9 ),
    inference(avatar_component_clause,[],[f8234]) ).

tff(f7790,plain,
    ! [X0: bool] :
      ( ( pure_assn(X0) != sF185 )
      | ~ pp(X0)
      | pp(sF184) ),
    inference(superposition,[],[f7623,f7744]) ).

tff(f7623,plain,
    ! [X0: bool,X1: bool] :
      ( ( pure_assn(X1) != pure_assn(X0) )
      | ~ pp(X1)
      | pp(X0) ),
    inference(cnf_transformation,[],[f7445]) ).

tff(f7445,plain,
    ! [X0: bool,X1: bool] :
      ( ( ( pure_assn(X1) = pure_assn(X0) )
        | ( ( ~ pp(X1)
            | ~ pp(X0) )
          & ( pp(X1)
            | pp(X0) ) ) )
      & ( ( ( pp(X0)
            | ~ pp(X1) )
          & ( pp(X1)
            | ~ pp(X0) ) )
        | ( pure_assn(X1) != pure_assn(X0) ) ) ),
    inference(nnf_transformation,[],[f7290]) ).

tff(f7290,plain,
    ! [X0: bool,X1: bool] :
      ( ( pure_assn(X1) = pure_assn(X0) )
    <=> ( pp(X0)
      <=> pp(X1) ) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X7: bool,X8: bool] :
      ( ( pure_assn(X7) = pure_assn(X8) )
    <=> ( pp(X7)
      <=> pp(X8) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_0_pure__assn__eq__conv) ).

tff(f8442,plain,
    ( spl186_15
    | ~ spl186_3 ),
    inference(avatar_split_clause,[],[f8396,f7776,f8439]) ).

tff(f8396,plain,
    ( ~ pp(sF184)
    | ( l = sF183 ) ),
    inference(superposition,[],[f8394,f7743]) ).

tff(f8394,plain,
    ! [X0: list(b)] :
      ( ~ pp(aa(list(b),bool,sF182,X0))
      | ( l = X0 ) ),
    inference(superposition,[],[f7968,f7741]) ).

tff(f7968,plain,
    ! [X0: list(b),X1: list(b)] :
      ( ~ pp(aa(list(b),bool,aa(list(b),fun(list(b),bool),sF181,X0),X1))
      | ( X0 = X1 ) ),
    inference(superposition,[],[f7705,f7740]) ).

tff(f7705,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2))
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f7334]) ).

tff(f7334,plain,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( ( X1 = X2 )
      | ~ pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2)) ),
    inference(rectify,[],[f7267]) ).

tff(f7267,axiom,
    ! [X0: $tType,X22: X0,X10: X0] :
      ( ( X10 = X22 )
      | ~ pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X22),X10)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',help_fequal_1_1_T) ).

tff(f8433,plain,
    ( ~ spl186_3
    | ~ spl186_8 ),
    inference(avatar_contradiction_clause,[],[f8432]) ).

tff(f8432,plain,
    ( $false
    | ~ spl186_3
    | ~ spl186_8 ),
    inference(subsumption_resolution,[],[f8429,f7745]) ).

tff(f8429,plain,
    ( ( sF180 = sF185 )
    | ~ spl186_3
    | ~ spl186_8 ),
    inference(superposition,[],[f7739,f8405]) ).

tff(f8405,plain,
    ( ! [X0: fun(a,fun(b,assn))] : ( sF185 = vEBT_List_list_assn(a,b,X0,sF179,l) )
    | ~ spl186_3
    | ~ spl186_8 ),
    inference(superposition,[],[f8287,f8397]) ).

tff(f8397,plain,
    ( ( l = sF183 )
    | ~ spl186_3 ),
    inference(subsumption_resolution,[],[f8396,f7778]) ).

tff(f7778,plain,
    ( pp(sF184)
    | ~ spl186_3 ),
    inference(avatar_component_clause,[],[f7776]) ).

tff(f8287,plain,
    ( ! [X0: fun(a,fun(b,assn))] : ( sF185 = vEBT_List_list_assn(a,b,X0,sF179,sF183) )
    | ~ spl186_8 ),
    inference(forward_demodulation,[],[f8285,f8231]) ).

tff(f8231,plain,
    ( ( one_one(assn) = sF185 )
    | ~ spl186_8 ),
    inference(avatar_component_clause,[],[f8229]) ).

tff(f8229,plain,
    ( spl186_8
  <=> ( one_one(assn) = sF185 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl186_8])]) ).

tff(f8285,plain,
    ! [X0: fun(a,fun(b,assn))] : ( one_one(assn) = vEBT_List_list_assn(a,b,X0,sF179,sF183) ),
    inference(superposition,[],[f7907,f7742]) ).

tff(f7907,plain,
    ! [X0: $tType,X1: fun(a,fun(X0,assn))] : ( one_one(assn) = vEBT_List_list_assn(a,X0,X1,sF179,nil(X0)) ),
    inference(superposition,[],[f7704,f7738]) ).

tff(f7704,plain,
    ! [X1: $tType,X0: $tType,X2: fun(X1,fun(X0,assn))] : ( one_one(assn) = vEBT_List_list_assn(X1,X0,X2,nil(X1),nil(X0)) ),
    inference(cnf_transformation,[],[f7333]) ).

tff(f7333,plain,
    ! [X0: $tType,X1: $tType,X2: fun(X1,fun(X0,assn))] : ( one_one(assn) = vEBT_List_list_assn(X1,X0,X2,nil(X1),nil(X0)) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X2: $tType,X0: $tType,X7: fun(X0,fun(X2,assn))] : ( vEBT_List_list_assn(X0,X2,X7,nil(X0),nil(X2)) = one_one(assn) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_1_list__assn_Osimps_I1_J) ).

tff(f8257,plain,
    ~ spl186_7,
    inference(avatar_contradiction_clause,[],[f8256]) ).

tff(f8256,plain,
    ( $false
    | ~ spl186_7 ),
    inference(subsumption_resolution,[],[f8252,f8227]) ).

tff(f8227,plain,
    ( ! [X0: bool] : ~ pp(X0)
    | ~ spl186_7 ),
    inference(avatar_component_clause,[],[f8226]) ).

tff(f8226,plain,
    ( spl186_7
  <=> ! [X0: bool] : ~ pp(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl186_7])]) ).

tff(f8252,plain,
    ( ! [X0: bool] : pp(X0)
    | ~ spl186_7 ),
    inference(resolution,[],[f8227,f7609]) ).

tff(f7609,plain,
    ! [X0: bool,X1: assn] :
      ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1))
      | pp(X0) ),
    inference(cnf_transformation,[],[f7440]) ).

tff(f7440,plain,
    ! [X0: bool,X1: assn] :
      ( ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1))
        | ( ~ pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X1))
          & pp(X0) ) )
      & ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X1))
        | ~ pp(X0)
        | ~ pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1)) ) ),
    inference(flattening,[],[f7439]) ).

tff(f7439,plain,
    ! [X0: bool,X1: assn] :
      ( ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1))
        | ( ~ pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X1))
          & pp(X0) ) )
      & ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X1))
        | ~ pp(X0)
        | ~ pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1)) ) ),
    inference(nnf_transformation,[],[f7361]) ).

tff(f7361,plain,
    ! [X0: bool,X1: assn] :
      ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1))
    <=> ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X1))
        | ~ pp(X0) ) ),
    inference(ennf_transformation,[],[f7282]) ).

tff(f7282,plain,
    ! [X0: bool,X1: assn] :
      ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X0)),X1))
    <=> ( pp(X0)
       => pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X1)) ) ),
    inference(rectify,[],[f5460]) ).

tff(f5460,axiom,
    ! [X56: bool,X8: assn] :
      ( pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,pure_assn(X56)),X8))
    <=> ( pp(X56)
       => pp(aa(assn,bool,aa(assn,fun(assn,bool),entails,one_one(assn)),X8)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_5459_ent__pure__pre__iff__sng) ).

tff(f8238,plain,
    ( spl186_7
    | spl186_8
    | ~ spl186_3 ),
    inference(avatar_split_clause,[],[f8219,f7776,f8229,f8226]) ).

tff(f8219,plain,
    ( ! [X0: bool] :
        ( ( one_one(assn) = sF185 )
        | ~ pp(X0) )
    | ~ spl186_3 ),
    inference(duplicate_literal_removal,[],[f8209]) ).

tff(f8209,plain,
    ( ! [X0: bool] :
        ( ( one_one(assn) = sF185 )
        | ~ pp(X0)
        | ~ pp(X0) )
    | ~ spl186_3 ),
    inference(superposition,[],[f7621,f8189]) ).

tff(f8189,plain,
    ( ! [X0: bool] :
        ( ( pure_assn(X0) = sF185 )
        | ~ pp(X0) )
    | ~ spl186_3 ),
    inference(subsumption_resolution,[],[f7860,f7778]) ).

tff(f7860,plain,
    ! [X0: bool] :
      ( ( pure_assn(X0) = sF185 )
      | ~ pp(X0)
      | ~ pp(sF184) ),
    inference(superposition,[],[f7744,f7625]) ).

tff(f7625,plain,
    ! [X0: bool,X1: bool] :
      ( ( pure_assn(X1) = pure_assn(X0) )
      | ~ pp(X1)
      | ~ pp(X0) ),
    inference(cnf_transformation,[],[f7445]) ).

tff(f7621,plain,
    ! [X0: bool] :
      ( ( one_one(assn) = pure_assn(X0) )
      | ~ pp(X0) ),
    inference(cnf_transformation,[],[f7444]) ).

tff(f7444,plain,
    ! [X0: bool] :
      ( ( ( one_one(assn) = pure_assn(X0) )
        | ~ pp(X0) )
      & ( pp(X0)
        | ( one_one(assn) != pure_assn(X0) ) ) ),
    inference(nnf_transformation,[],[f7289]) ).

tff(f7289,plain,
    ! [X0: bool] :
      ( ( one_one(assn) = pure_assn(X0) )
    <=> pp(X0) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X7: bool] :
      ( ( pure_assn(X7) = one_one(assn) )
    <=> pp(X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676',fact_12_pure__assn__eq__emp__iff) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : ITP218_2 : TPTP v8.1.2. Released v8.0.0.
% 0.05/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 19:03:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TF1_THM_EQU_NAR problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.JeBltyCQ9I/Vampire---4.8_25676
% 1.64/1.82  % (25789)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2985ds/34Mi)
% 1.64/1.82  % (25791)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2985ds/78Mi)
% 1.64/1.82  % (25790)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2985ds/51Mi)
% 1.64/1.82  % (25792)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2985ds/33Mi)
% 1.64/1.82  % (25793)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2985ds/34Mi)
% 1.64/1.82  % (25794)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2985ds/45Mi)
% 1.64/1.83  % (25795)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2985ds/83Mi)
% 1.64/1.83  % (25796)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2985ds/56Mi)
% 1.64/1.84  % (25789)Instruction limit reached!
% 1.64/1.84  % (25789)------------------------------
% 1.64/1.84  % (25789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.64/1.84  % (25789)Termination reason: Unknown
% 1.64/1.84  % (25789)Termination phase: SInE selection
% 1.64/1.84  
% 1.64/1.84  % (25789)Memory used [KB]: 9219
% 1.64/1.84  % (25789)Time elapsed: 0.019 s
% 1.64/1.84  % (25789)Instructions burned: 34 (million)
% 1.64/1.84  % (25789)------------------------------
% 1.64/1.84  % (25789)------------------------------
% 1.64/1.84  % (25792)Instruction limit reached!
% 1.64/1.84  % (25792)------------------------------
% 1.64/1.84  % (25792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.64/1.84  % (25792)Termination reason: Unknown
% 1.64/1.84  % (25792)Termination phase: SInE selection
% 1.64/1.84  
% 1.64/1.84  % (25792)Memory used [KB]: 9219
% 1.64/1.84  % (25792)Time elapsed: 0.019 s
% 1.64/1.84  % (25792)Instructions burned: 34 (million)
% 1.64/1.84  % (25792)------------------------------
% 1.64/1.84  % (25792)------------------------------
% 1.64/1.84  % (25793)Instruction limit reached!
% 1.64/1.84  % (25793)------------------------------
% 1.64/1.84  % (25793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.64/1.84  % (25793)Termination reason: Unknown
% 1.64/1.84  % (25793)Termination phase: SInE selection
% 1.64/1.84  
% 1.64/1.84  % (25793)Memory used [KB]: 9243
% 1.64/1.84  % (25793)Time elapsed: 0.019 s
% 1.64/1.84  % (25793)Instructions burned: 35 (million)
% 1.64/1.84  % (25793)------------------------------
% 1.64/1.84  % (25793)------------------------------
% 1.64/1.85  % (25797)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2985ds/55Mi)
% 1.64/1.85  % (25798)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2985ds/50Mi)
% 1.64/1.85  % (25799)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2985ds/208Mi)
% 1.64/1.85  % (25794)Instruction limit reached!
% 1.64/1.85  % (25794)------------------------------
% 1.64/1.85  % (25794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.64/1.85  % (25794)Termination reason: Unknown
% 1.64/1.85  % (25794)Termination phase: SInE selection
% 1.64/1.85  
% 1.64/1.85  % (25794)Memory used [KB]: 9275
% 1.64/1.85  % (25794)Time elapsed: 0.024 s
% 1.64/1.85  % (25794)Instructions burned: 46 (million)
% 1.64/1.85  % (25794)------------------------------
% 1.64/1.85  % (25794)------------------------------
% 1.64/1.85  % (25790)Instruction limit reached!
% 1.64/1.85  % (25790)------------------------------
% 1.64/1.85  % (25790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.64/1.85  % (25790)Termination reason: Unknown
% 1.64/1.85  % (25790)Termination phase: SInE selection
% 1.64/1.85  
% 1.64/1.85  % (25790)Memory used [KB]: 9292
% 1.64/1.85  % (25790)Time elapsed: 0.026 s
% 1.64/1.85  % (25790)Instructions burned: 51 (million)
% 1.64/1.85  % (25790)------------------------------
% 1.64/1.85  % (25790)------------------------------
% 1.64/1.85  % (25800)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2985ds/52Mi)
% 1.64/1.85  % (25801)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2985ds/518Mi)
% 1.64/1.85  % (25796)Instruction limit reached!
% 1.64/1.85  % (25796)------------------------------
% 1.64/1.85  % (25796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.64/1.85  % (25796)Termination reason: Unknown
% 1.64/1.85  % (25796)Termination phase: SInE selection
% 1.64/1.85  
% 1.64/1.85  % (25796)Memory used [KB]: 9307
% 1.64/1.85  % (25796)Time elapsed: 0.029 s
% 1.64/1.85  % (25796)Instructions burned: 56 (million)
% 1.64/1.85  % (25796)------------------------------
% 1.64/1.85  % (25796)------------------------------
% 1.79/1.86  % (25802)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2984ds/42Mi)
% 1.79/1.87  % (25791)Instruction limit reached!
% 1.79/1.87  % (25791)------------------------------
% 1.79/1.87  % (25791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.87  % (25791)Termination reason: Unknown
% 1.79/1.87  % (25791)Termination phase: Preprocessing 1
% 1.79/1.87  
% 1.79/1.87  % (25791)Memory used [KB]: 9366
% 1.79/1.87  % (25791)Time elapsed: 0.043 s
% 1.79/1.87  % (25791)Instructions burned: 79 (million)
% 1.79/1.87  % (25791)------------------------------
% 1.79/1.87  % (25791)------------------------------
% 1.79/1.87  % (25795)Instruction limit reached!
% 1.79/1.87  % (25795)------------------------------
% 1.79/1.87  % (25795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.87  % (25795)Termination reason: Unknown
% 1.79/1.87  % (25795)Termination phase: SInE selection
% 1.79/1.87  
% 1.79/1.87  % (25795)Memory used [KB]: 9332
% 1.79/1.87  % (25795)Time elapsed: 0.043 s
% 1.79/1.87  % (25795)Instructions burned: 83 (million)
% 1.79/1.87  % (25795)------------------------------
% 1.79/1.87  % (25795)------------------------------
% 1.79/1.87  % (25798)Instruction limit reached!
% 1.79/1.87  % (25798)------------------------------
% 1.79/1.87  % (25798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.87  % (25798)Termination reason: Unknown
% 1.79/1.87  % (25798)Termination phase: SInE selection
% 1.79/1.87  
% 1.79/1.87  % (25798)Memory used [KB]: 9292
% 1.79/1.87  % (25798)Time elapsed: 0.025 s
% 1.79/1.87  % (25798)Instructions burned: 51 (million)
% 1.79/1.87  % (25798)------------------------------
% 1.79/1.87  % (25798)------------------------------
% 1.79/1.87  % (25803)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2984ds/243Mi)
% 1.79/1.87  % (25804)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2984ds/117Mi)
% 1.79/1.87  % (25797)Instruction limit reached!
% 1.79/1.87  % (25797)------------------------------
% 1.79/1.87  % (25797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.87  % (25797)Termination reason: Unknown
% 1.79/1.87  % (25797)Termination phase: SInE selection
% 1.79/1.87  
% 1.79/1.87  % (25805)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2984ds/143Mi)
% 1.79/1.87  % (25797)Memory used [KB]: 9619
% 1.79/1.87  % (25797)Time elapsed: 0.029 s
% 1.79/1.87  % (25797)Instructions burned: 55 (million)
% 1.79/1.87  % (25797)------------------------------
% 1.79/1.87  % (25797)------------------------------
% 1.79/1.87  % (25800)Instruction limit reached!
% 1.79/1.87  % (25800)------------------------------
% 1.79/1.87  % (25800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.87  % (25800)Termination reason: Unknown
% 1.79/1.87  % (25800)Termination phase: SInE selection
% 1.79/1.87  
% 1.79/1.87  % (25800)Memory used [KB]: 9308
% 1.79/1.87  % (25800)Time elapsed: 0.026 s
% 1.79/1.87  % (25800)Instructions burned: 52 (million)
% 1.79/1.87  % (25800)------------------------------
% 1.79/1.87  % (25800)------------------------------
% 1.79/1.88  % (25802)Instruction limit reached!
% 1.79/1.88  % (25802)------------------------------
% 1.79/1.88  % (25802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.88  % (25802)Termination reason: Unknown
% 1.79/1.88  % (25802)Termination phase: Preprocessing 1
% 1.79/1.88  
% 1.79/1.88  % (25802)Memory used [KB]: 10907
% 1.79/1.88  % (25802)Time elapsed: 0.021 s
% 1.79/1.88  % (25802)Instructions burned: 43 (million)
% 1.79/1.88  % (25802)------------------------------
% 1.79/1.88  % (25802)------------------------------
% 1.79/1.88  % (25806)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2984ds/93Mi)
% 1.79/1.88  % (25807)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2984ds/62Mi)
% 1.79/1.88  % (25808)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2984ds/32Mi)
% 1.79/1.90  % (25808)Instruction limit reached!
% 1.79/1.90  % (25808)------------------------------
% 1.79/1.90  % (25808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.90  % (25808)Termination reason: Unknown
% 1.79/1.90  % (25808)Termination phase: SInE selection
% 1.79/1.90  
% 1.79/1.90  % (25808)Memory used [KB]: 9220
% 1.79/1.90  % (25808)Time elapsed: 0.020 s
% 1.79/1.90  % (25808)Instructions burned: 33 (million)
% 1.79/1.90  % (25808)------------------------------
% 1.79/1.90  % (25808)------------------------------
% 1.79/1.90  % (25809)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2984ds/1919Mi)
% 1.79/1.91  % (25807)Instruction limit reached!
% 1.79/1.91  % (25807)------------------------------
% 1.79/1.91  % (25807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.91  % (25807)Termination reason: Unknown
% 1.79/1.91  % (25807)Termination phase: Preprocessing 1
% 1.79/1.91  
% 1.79/1.91  % (25807)Memory used [KB]: 12188
% 1.79/1.91  % (25807)Time elapsed: 0.029 s
% 1.79/1.91  % (25807)Instructions burned: 62 (million)
% 1.79/1.91  % (25807)------------------------------
% 1.79/1.91  % (25807)------------------------------
% 1.79/1.91  % (25810)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2984ds/55Mi)
% 1.79/1.92  % (25806)Instruction limit reached!
% 1.79/1.92  % (25806)------------------------------
% 1.79/1.92  % (25806)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.92  % (25806)Termination reason: Unknown
% 1.79/1.92  % (25806)Termination phase: Preprocessing 1
% 1.79/1.92  
% 1.79/1.92  % (25806)Memory used [KB]: 12492
% 1.79/1.92  % (25806)Time elapsed: 0.045 s
% 1.79/1.92  % (25806)Instructions burned: 94 (million)
% 1.79/1.92  % (25806)------------------------------
% 1.79/1.92  % (25806)------------------------------
% 1.79/1.92  % (25811)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2984ds/53Mi)
% 1.79/1.92  % (25804)Instruction limit reached!
% 1.79/1.92  % (25804)------------------------------
% 1.79/1.92  % (25804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/1.92  % (25804)Termination reason: Unknown
% 1.79/1.92  % (25804)Termination phase: Property scanning
% 1.79/1.92  
% 1.79/1.92  % (25804)Memory used [KB]: 9208
% 1.79/1.92  % (25804)Time elapsed: 0.056 s
% 1.79/1.92  % (25804)Instructions burned: 117 (million)
% 1.79/1.92  % (25804)------------------------------
% 1.79/1.92  % (25804)------------------------------
% 1.79/1.93  % (25812)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2984ds/46Mi)
% 2.15/1.94  % (25799)First to succeed.
% 2.15/1.94  % (25810)Instruction limit reached!
% 2.15/1.94  % (25810)------------------------------
% 2.15/1.94  % (25810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.15/1.94  % (25810)Termination reason: Unknown
% 2.15/1.94  % (25810)Termination phase: SInE selection
% 2.15/1.94  
% 2.15/1.94  % (25810)Memory used [KB]: 9308
% 2.15/1.94  % (25810)Time elapsed: 0.030 s
% 2.15/1.94  % (25810)Instructions burned: 56 (million)
% 2.15/1.94  % (25810)------------------------------
% 2.15/1.94  % (25810)------------------------------
% 2.15/1.94  % (25805)Instruction limit reached!
% 2.15/1.94  % (25805)------------------------------
% 2.15/1.94  % (25805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.15/1.94  % (25805)Termination reason: Unknown
% 2.15/1.94  % (25805)Termination phase: Preprocessing 1
% 2.15/1.94  
% 2.15/1.94  % (25805)Memory used [KB]: 13872
% 2.15/1.94  % (25805)Time elapsed: 0.069 s
% 2.15/1.94  % (25805)Instructions burned: 144 (million)
% 2.15/1.94  % (25805)------------------------------
% 2.15/1.94  % (25805)------------------------------
% 2.15/1.94  % (25813)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2983ds/102Mi)
% 2.15/1.94  % (25814)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2983ds/35Mi)
% 2.15/1.95  % (25799)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25783"
% 2.15/1.95  % (25811)Instruction limit reached!
% 2.15/1.95  % (25811)------------------------------
% 2.15/1.95  % (25811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.15/1.95  % (25811)Termination reason: Unknown
% 2.15/1.95  % (25811)Termination phase: SInE selection
% 2.15/1.95  
% 2.15/1.95  % (25811)Memory used [KB]: 9307
% 2.15/1.95  % (25811)Time elapsed: 0.028 s
% 2.15/1.95  % (25811)Instructions burned: 53 (million)
% 2.15/1.95  % (25811)------------------------------
% 2.15/1.95  % (25811)------------------------------
% 2.15/1.95  % (25812)Instruction limit reached!
% 2.15/1.95  % (25812)------------------------------
% 2.15/1.95  % (25812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.15/1.95  % (25812)Termination reason: Unknown
% 2.15/1.95  % (25812)Termination phase: Preprocessing 1
% 2.15/1.95  
% 2.15/1.95  % (25812)Memory used [KB]: 10755
% 2.15/1.95  % (25812)Time elapsed: 0.024 s
% 2.15/1.95  % (25812)Instructions burned: 47 (million)
% 2.15/1.95  % (25812)------------------------------
% 2.15/1.95  % (25812)------------------------------
% 2.15/1.95  % (25799)Refutation found. Thanks to Tanya!
% 2.15/1.95  % SZS status Theorem for Vampire---4
% 2.15/1.95  % SZS output start Proof for Vampire---4
% See solution above
% 2.15/1.96  % (25799)------------------------------
% 2.15/1.96  % (25799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.15/1.96  % (25799)Termination reason: Refutation
% 2.15/1.96  
% 2.15/1.96  % (25799)Memory used [KB]: 10087
% 2.15/1.96  % (25799)Time elapsed: 0.103 s
% 2.15/1.96  % (25799)Instructions burned: 207 (million)
% 2.15/1.96  % (25783)Success in time 1.616 s
% 2.15/1.96  % Vampire---4.8 exiting
%------------------------------------------------------------------------------