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

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP139^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:10:51 AM UTC 2026

% Result   : Theorem 0.75s 0.47s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   28 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  108 (  54 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  202 (  11   ~;   3   |;   0   &; 145   @)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :   15 (  14 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  844 ( 840 usr;  17 con; 0-4 aty)
%                                         (  11  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   34 (  23   ^;  11   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr2014382200lle_tv: $tType ).

thf(type_def_6,type,
    produc1647334210lle_tv: $tType ).

thf(type_def_7,type,
    set_Pr1725653840tv_nat: $tType ).

thf(type_def_8,type,
    set_Pr13445366lle_tv: $tType ).

thf(type_def_9,type,
    produc194167194tv_nat: $tType ).

thf(type_def_10,type,
    produc270694976lle_tv: $tType ).

thf(type_def_11,type,
    set_se800614875lle_tv: $tType ).

thf(type_def_12,type,
    set_Pr1986765409at_nat: $tType ).

thf(type_def_13,type,
    set_Pa1764573435lle_tv: $tType ).

thf(type_def_14,type,
    product_prod_nat_nat: $tType ).

thf(type_def_15,type,
    paraco1605129243lle_tv: $tType ).

thf(type_def_16,type,
    set_set_nat: $tType ).

thf(type_def_17,type,
    set_nat: $tType ).

thf(type_def_18,type,
    nat: $tType ).

thf(type_def_19,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_1,type,
    inj_on1955349912lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > $o ).

thf(func_def_2,type,
    inj_on1179712058tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > $o ).

thf(func_def_3,type,
    inj_on772319074lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > $o ).

thf(func_def_4,type,
    inj_on642995232at_nat: ( product_prod_nat_nat > nat ) > set_Pr1986765409at_nat > $o ).

thf(func_def_5,type,
    inj_on520021963lle_tv: ( product_prod_nat_nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat > $o ).

thf(func_def_6,type,
    inj_on26176689at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > $o ).

thf(func_def_7,type,
    inj_on1840679568lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > $o ).

thf(func_def_8,type,
    inj_on1764151786tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > $o ).

thf(func_def_9,type,
    inj_on936843139tv_nat: ( produc270694976lle_tv > nat ) > set_Pr13445366lle_tv > $o ).

thf(func_def_10,type,
    inj_on394919723lle_tv: ( produc270694976lle_tv > paraco1605129243lle_tv ) > set_Pr13445366lle_tv > $o ).

thf(func_def_11,type,
    inj_on1954136462at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > $o ).

thf(func_def_12,type,
    inj_on1745913142lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > $o ).

thf(func_def_13,type,
    inj_on808253149at_nat: ( produc194167194tv_nat > nat ) > set_Pr1725653840tv_nat > $o ).

thf(func_def_14,type,
    inj_on1612474245lle_tv: ( produc194167194tv_nat > paraco1605129243lle_tv ) > set_Pr1725653840tv_nat > $o ).

thf(func_def_15,type,
    inj_on1971554740at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > $o ).

thf(func_def_16,type,
    inj_on552895452tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > $o ).

thf(func_def_17,type,
    inj_on967082628lle_tv: ( produc194167194tv_nat > produc1647334210lle_tv ) > set_Pr1725653840tv_nat > $o ).

thf(func_def_18,type,
    inj_on2112487900lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > $o ).

thf(func_def_19,type,
    strict2146030304at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_20,type,
    strict1310998166et_nat: ( nat > set_nat ) > set_nat > $o ).

thf(func_def_21,type,
    strict1658340843lle_tv: ( nat > set_Pa1764573435lle_tv ) > set_nat > $o ).

thf(func_def_22,type,
    strict1802283670at_nat: ( set_nat > nat ) > set_set_nat > $o ).

thf(func_def_23,type,
    strict473775692et_nat: ( set_nat > set_nat ) > set_set_nat > $o ).

thf(func_def_24,type,
    strict172559285lle_tv: ( set_nat > set_Pa1764573435lle_tv ) > set_set_nat > $o ).

thf(func_def_25,type,
    strict1125660301tv_nat: ( set_Pa1764573435lle_tv > nat ) > set_se800614875lle_tv > $o ).

thf(func_def_26,type,
    strict1455779395et_nat: ( set_Pa1764573435lle_tv > set_nat ) > set_se800614875lle_tv > $o ).

thf(func_def_27,type,
    strict592849515lle_tv: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_se800614875lle_tv > $o ).

thf(func_def_28,type,
    the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).

thf(func_def_29,type,
    the_in138087638lle_tv: set_nat > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > nat ).

thf(func_def_30,type,
    the_in1509933432tv_nat: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > nat ) > nat > paraco1605129243lle_tv ).

thf(func_def_31,type,
    the_in452116896lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_32,type,
    the_in2068894451at_nat: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_33,type,
    the_in744013006lle_tv: set_Pr1986765409at_nat > ( product_prod_nat_nat > produc270694976lle_tv ) > produc270694976lle_tv > product_prod_nat_nat ).

thf(func_def_34,type,
    the_in667485224tv_nat: set_Pr1986765409at_nat > ( product_prod_nat_nat > produc194167194tv_nat ) > produc194167194tv_nat > product_prod_nat_nat ).

thf(func_def_35,type,
    the_in857469900at_nat: set_Pr13445366lle_tv > ( produc270694976lle_tv > product_prod_nat_nat ) > product_prod_nat_nat > produc270694976lle_tv ).

thf(func_def_36,type,
    the_in1388677748lle_tv: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(func_def_37,type,
    the_in874888178at_nat: set_Pr1725653840tv_nat > ( produc194167194tv_nat > product_prod_nat_nat ) > product_prod_nat_nat > produc194167194tv_nat ).

thf(func_def_38,type,
    the_in195660058tv_nat: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(func_def_39,type,
    the_in427240730lle_tv: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).

thf(func_def_40,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_41,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_42,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_43,type,
    ord_le727057319lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_44,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_45,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_46,type,
    ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_47,type,
    order_769474267at_nat: ( nat > nat ) > $o ).

thf(func_def_48,type,
    top_top_nat_o: nat > $o ).

thf(func_def_49,type,
    top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).

thf(func_def_50,type,
    top_to632227436_nat_o: product_prod_nat_nat > $o ).

thf(func_def_51,type,
    top_to1889334367e_tv_o: produc270694976lle_tv > $o ).

thf(func_def_52,type,
    top_to900819589_nat_o: produc194167194tv_nat > $o ).

thf(func_def_53,type,
    top_top_o: $o ).

thf(func_def_54,type,
    top_top_set_nat: set_nat ).

thf(func_def_55,type,
    top_to1057771083lle_tv: set_Pa1764573435lle_tv ).

thf(func_def_56,type,
    top_to1555900337at_nat: set_Pr1986765409at_nat ).

thf(func_def_57,type,
    top_to1411004326lle_tv: set_Pr13445366lle_tv ).

thf(func_def_58,type,
    top_to975729152tv_nat: set_Pr1725653840tv_nat ).

thf(func_def_59,type,
    top_to1871154984lle_tv: set_Pr2014382200lle_tv ).

thf(func_def_60,type,
    paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_61,type,
    paraco793048302_Indet: nat > paraco1605129243lle_tv ).

thf(func_def_62,type,
    produc1320959600at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_63,type,
    produc237097339lle_tv: ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(func_def_64,type,
    produc1608943133tv_nat: ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc270694976lle_tv ).

thf(func_def_65,type,
    produc1804670661lle_tv: ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc1647334210lle_tv ).

thf(func_def_66,type,
    produc2040316391tv_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(func_def_67,type,
    produc1408152463lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).

thf(func_def_68,type,
    produc505105722at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_69,type,
    produc2101297531lle_tv: ( nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(func_def_70,type,
    produc189459613tv_nat: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > produc194167194tv_nat ).

thf(func_def_71,type,
    produc1975500101lle_tv: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc1647334210lle_tv ).

thf(func_def_72,type,
    produc386540311at_nat: ( paraco1605129243lle_tv > nat ) > ( nat > nat ) > produc194167194tv_nat > product_prod_nat_nat ).

thf(func_def_73,type,
    produc72207551lle_tv: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc270694976lle_tv ).

thf(func_def_74,type,
    produc51277375tv_nat: ( paraco1605129243lle_tv > nat ) > ( paraco1605129243lle_tv > nat ) > produc1647334210lle_tv > product_prod_nat_nat ).

thf(func_def_75,type,
    produc1095080935lle_tv: ( paraco1605129243lle_tv > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc270694976lle_tv ).

thf(func_def_76,type,
    produc42536895at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(func_def_77,type,
    produc1521089895lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc1647334210lle_tv ).

thf(func_def_78,type,
    produc1500159719tv_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc1647334210lle_tv > produc194167194tv_nat ).

thf(func_def_79,type,
    produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).

thf(func_def_80,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_81,type,
    collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(func_def_82,type,
    collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).

thf(func_def_83,type,
    collec924990229lle_tv: ( produc270694976lle_tv > $o ) > set_Pr13445366lle_tv ).

thf(func_def_84,type,
    collec848462447tv_nat: ( produc194167194tv_nat > $o ) > set_Pr1725653840tv_nat ).

thf(func_def_85,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_86,type,
    image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).

thf(func_def_87,type,
    image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).

thf(func_def_88,type,
    image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_89,type,
    image_1397137548at_nat: ( product_prod_nat_nat > nat ) > set_Pr1986765409at_nat > set_nat ).

thf(func_def_90,type,
    image_1093035615lle_tv: ( product_prod_nat_nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat > set_Pa1764573435lle_tv ).

thf(func_def_91,type,
    image_815163717at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).

thf(func_def_92,type,
    image_1674248956lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > set_Pr13445366lle_tv ).

thf(func_def_93,type,
    image_1597721174tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat ).

thf(func_def_94,type,
    image_1509856791tv_nat: ( produc270694976lle_tv > nat ) > set_Pr13445366lle_tv > set_nat ).

thf(func_def_95,type,
    image_802013119lle_tv: ( produc270694976lle_tv > paraco1605129243lle_tv ) > set_Pr13445366lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_96,type,
    image_1787705850at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > set_Pr1986765409at_nat ).

thf(func_def_97,type,
    image_149830562lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > set_Pr13445366lle_tv ).

thf(func_def_98,type,
    image_53754658tv_nat: ( produc270694976lle_tv > produc194167194tv_nat ) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat ).

thf(func_def_99,type,
    image_988201162lle_tv: ( produc270694976lle_tv > produc1647334210lle_tv ) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv ).

thf(func_def_100,type,
    image_1381266801at_nat: ( produc194167194tv_nat > nat ) > set_Pr1725653840tv_nat > set_nat ).

thf(func_def_101,type,
    image_2019567641lle_tv: ( produc194167194tv_nat > paraco1605129243lle_tv ) > set_Pr1725653840tv_nat > set_Pa1764573435lle_tv ).

thf(func_def_102,type,
    image_1805124128at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat ).

thf(func_def_103,type,
    image_1200372424lle_tv: ( produc194167194tv_nat > produc270694976lle_tv ) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv ).

thf(func_def_104,type,
    image_1104296520tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > set_Pr1725653840tv_nat ).

thf(func_def_105,type,
    image_228488944lle_tv: ( produc194167194tv_nat > produc1647334210lle_tv ) > set_Pr1725653840tv_nat > set_Pr2014382200lle_tv ).

thf(func_def_106,type,
    image_901203832at_nat: ( produc1647334210lle_tv > product_prod_nat_nat ) > set_Pr2014382200lle_tv > set_Pr1986765409at_nat ).

thf(func_def_107,type,
    image_1892891680lle_tv: ( produc1647334210lle_tv > produc270694976lle_tv ) > set_Pr2014382200lle_tv > set_Pr13445366lle_tv ).

thf(func_def_108,type,
    image_1796815776tv_nat: ( produc1647334210lle_tv > produc194167194tv_nat ) > set_Pr2014382200lle_tv > set_Pr1725653840tv_nat ).

thf(func_def_109,type,
    image_1221801032lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv ).

thf(func_def_110,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_111,type,
    member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_112,type,
    member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_113,type,
    member813679063lle_tv: produc270694976lle_tv > set_Pr13445366lle_tv > $o ).

thf(func_def_114,type,
    member737151281tv_nat: produc194167194tv_nat > set_Pr1725653840tv_nat > $o ).

thf(func_def_115,type,
    member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).

thf(func_def_116,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_117,type,
    member1875402276lle_tv: set_Pa1764573435lle_tv > set_se800614875lle_tv > $o ).

thf(func_def_118,type,
    f: nat > nat ).

thf(func_def_122,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_123,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_124,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_125,type,
    vIMP: $o > $o > $o ).

thf(func_def_126,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_127,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_128,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_129,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_130,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_131,type,
    vAND: $o > $o > $o ).

thf(func_def_132,type,
    vNOT: $o > $o ).

thf(func_def_133,type,
    sP0: set_nat > ( nat > nat ) > $o ).

thf(func_def_134,type,
    sK1: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_135,type,
    sK2: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_136,type,
    sK3: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_137,type,
    sK4: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_138,type,
    sK5: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_139,type,
    sK6: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_140,type,
    sK7: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_141,type,
    sK8: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_142,type,
    sK9: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_143,type,
    sK10: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_144,type,
    sK11: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_145,type,
    sK12: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_146,type,
    sK13: ( nat > nat ) > nat ).

thf(func_def_147,type,
    sK14: ( nat > nat ) > nat ).

thf(func_def_148,type,
    sK15: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_149,type,
    sK16: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_150,type,
    sK17: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_151,type,
    sK18: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_152,type,
    sK19: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_153,type,
    sK20: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_154,type,
    sK21: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_155,type,
    sK22: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_156,type,
    sK23: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_157,type,
    sK24: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_158,type,
    sK25: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_159,type,
    sK26: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_160,type,
    sK27: ( nat > nat ) > set_nat > nat ).

thf(func_def_161,type,
    sK28: ( nat > nat ) > set_nat > nat ).

thf(func_def_162,type,
    sK29: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_163,type,
    sK30: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_164,type,
    sK31: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_165,type,
    sK32: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_166,type,
    sK33: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_167,type,
    sK34: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_168,type,
    sK35: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_169,type,
    sK36: produc194167194tv_nat ).

thf(func_def_170,type,
    sK37: produc270694976lle_tv ).

thf(func_def_171,type,
    sK38: product_prod_nat_nat ).

thf(func_def_172,type,
    sK39: paraco1605129243lle_tv ).

thf(func_def_173,type,
    sK40: nat ).

thf(func_def_174,type,
    sK41: set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_175,type,
    sK42: set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_176,type,
    sK43: set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_177,type,
    sK44: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_178,type,
    sK45: set_nat > nat ).

thf(func_def_179,type,
    sK46: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_180,type,
    sK47: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_181,type,
    sK48: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_182,type,
    sK49: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_183,type,
    sK50: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > set_nat > nat ).

thf(func_def_184,type,
    sK51: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_185,type,
    sK52: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_186,type,
    sK53: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_187,type,
    sK54: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_188,type,
    sK55: ( nat > nat ) > nat ).

thf(func_def_189,type,
    sK56: ( nat > nat ) > nat ).

thf(func_def_190,type,
    sK57: ( produc194167194tv_nat > $o ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > produc194167194tv_nat ) > product_prod_nat_nat ).

thf(func_def_191,type,
    sK58: ( produc270694976lle_tv > $o ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > produc270694976lle_tv ) > product_prod_nat_nat ).

thf(func_def_192,type,
    sK59: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_193,type,
    sK60: ( paraco1605129243lle_tv > $o ) > set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_194,type,
    sK61: ( nat > $o ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_195,type,
    sK62: ( product_prod_nat_nat > produc194167194tv_nat ) > ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_196,type,
    sK63: ( product_prod_nat_nat > produc270694976lle_tv ) > ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_197,type,
    sK64: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_198,type,
    sK65: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_199,type,
    sK66: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_200,type,
    sK67: ( produc194167194tv_nat > $o ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_201,type,
    sK68: ( produc270694976lle_tv > $o ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_202,type,
    sK69: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_203,type,
    sK70: ( paraco1605129243lle_tv > $o ) > set_nat > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_204,type,
    sK71: ( nat > $o ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_205,type,
    sK72: ( nat > nat ) > set_nat > nat ).

thf(func_def_206,type,
    sK73: ( nat > nat ) > set_nat > nat ).

thf(func_def_207,type,
    sK74: ( nat > set_nat ) > set_nat > nat ).

thf(func_def_208,type,
    sK75: ( nat > set_nat ) > set_nat > nat ).

thf(func_def_209,type,
    sK76: ( nat > set_Pa1764573435lle_tv ) > set_nat > nat ).

thf(func_def_210,type,
    sK77: ( nat > set_Pa1764573435lle_tv ) > set_nat > nat ).

thf(func_def_211,type,
    sK78: ( set_nat > nat ) > set_set_nat > set_nat ).

thf(func_def_212,type,
    sK79: ( set_nat > nat ) > set_set_nat > set_nat ).

thf(func_def_213,type,
    sK80: ( set_nat > set_nat ) > set_set_nat > set_nat ).

thf(func_def_214,type,
    sK81: ( set_nat > set_nat ) > set_set_nat > set_nat ).

thf(func_def_215,type,
    sK82: ( set_nat > set_Pa1764573435lle_tv ) > set_set_nat > set_nat ).

thf(func_def_216,type,
    sK83: ( set_nat > set_Pa1764573435lle_tv ) > set_set_nat > set_nat ).

thf(func_def_217,type,
    sK84: ( set_Pa1764573435lle_tv > nat ) > set_se800614875lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_218,type,
    sK85: ( set_Pa1764573435lle_tv > nat ) > set_se800614875lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_219,type,
    sK86: ( set_Pa1764573435lle_tv > set_nat ) > set_se800614875lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_220,type,
    sK87: ( set_Pa1764573435lle_tv > set_nat ) > set_se800614875lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_221,type,
    sK88: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_se800614875lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_222,type,
    sK89: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_se800614875lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_223,type,
    sK90: ( nat > nat ) > nat ).

thf(func_def_224,type,
    sK91: ( nat > nat ) > nat ).

thf(func_def_225,type,
    sK92: ( nat > set_nat ) > nat ).

thf(func_def_226,type,
    sK93: ( nat > set_nat ) > nat ).

thf(func_def_227,type,
    sK94: ( nat > set_Pa1764573435lle_tv ) > nat ).

thf(func_def_228,type,
    sK95: ( nat > set_Pa1764573435lle_tv ) > nat ).

thf(func_def_229,type,
    sK96: ( set_nat > nat ) > set_nat ).

thf(func_def_230,type,
    sK97: ( set_nat > nat ) > set_nat ).

thf(func_def_231,type,
    sK98: ( set_nat > set_nat ) > set_nat ).

thf(func_def_232,type,
    sK99: ( set_nat > set_nat ) > set_nat ).

thf(func_def_233,type,
    sK100: ( set_nat > set_Pa1764573435lle_tv ) > set_nat ).

thf(func_def_234,type,
    sK101: ( set_nat > set_Pa1764573435lle_tv ) > set_nat ).

thf(func_def_235,type,
    sK102: ( set_Pa1764573435lle_tv > nat ) > set_Pa1764573435lle_tv ).

thf(func_def_236,type,
    sK103: ( set_Pa1764573435lle_tv > nat ) > set_Pa1764573435lle_tv ).

thf(func_def_237,type,
    sK104: ( set_Pa1764573435lle_tv > set_nat ) > set_Pa1764573435lle_tv ).

thf(func_def_238,type,
    sK105: ( set_Pa1764573435lle_tv > set_nat ) > set_Pa1764573435lle_tv ).

thf(func_def_239,type,
    sK106: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_240,type,
    sK107: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_241,type,
    sK108: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_242,type,
    sK109: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_243,type,
    sK110: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_244,type,
    sK111: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_245,type,
    sK112: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_246,type,
    sK113: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_247,type,
    sK114: nat > ( nat > nat ) > nat ).

thf(func_def_248,type,
    sK115: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_249,type,
    sK116: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_250,type,
    sK117: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_251,type,
    sK118: nat > ( nat > nat ) > nat ).

thf(func_def_252,type,
    sK119: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_253,type,
    sK120: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > nat ).

thf(func_def_254,type,
    sK121: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_255,type,
    sK122: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_256,type,
    sK123: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_257,type,
    sK124: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_258,type,
    sK125: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_259,type,
    sK126: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_260,type,
    sK127: set_nat > set_nat > nat ).

thf(func_def_261,type,
    sK128: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_262,type,
    sK129: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_263,type,
    sK130: set_Pa1764573435lle_tv > ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_264,type,
    sK131: set_nat > ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_265,type,
    sK132: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_266,type,
    sK133: set_nat > ( nat > nat ) > nat ).

thf(func_def_267,type,
    sK134: set_nat > ( nat > nat ) > nat ).

thf(func_def_268,type,
    sK135: set_nat > nat ).

thf(func_def_269,type,
    sK136: set_nat > nat ).

thf(func_def_270,type,
    sK137: paraco1605129243lle_tv ).

thf(func_def_271,type,
    sK138: paraco1605129243lle_tv ).

thf(func_def_272,type,
    sK139: ( nat > nat ) > set_nat > set_nat > set_nat ).

thf(func_def_273,type,
    sK140: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_274,type,
    sK141: set_nat > ( nat > nat ) > nat ).

thf(func_def_275,type,
    sK142: set_nat > set_nat > nat ).

thf(func_def_276,type,
    sK143: set_nat > ( nat > nat ) > nat ).

thf(func_def_277,type,
    sK144: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_278,type,
    sK145: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_279,type,
    sK146: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_280,type,
    sK147: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_281,type,
    sK148: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_282,type,
    sK149: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_283,type,
    sK150: ( nat > nat ) > nat ).

thf(func_def_284,type,
    sK151: ( nat > nat ) > nat ).

thf(func_def_285,type,
    sK152: ( nat > nat ) > nat ).

thf(func_def_286,type,
    sK153: ( nat > nat ) > nat ).

thf(func_def_287,type,
    sK154: set_nat > set_nat > nat ).

thf(func_def_288,type,
    sK155: ( nat > nat ) > nat ).

thf(func_def_289,type,
    sK156: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_290,type,
    sK157: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_291,type,
    sK158: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_292,type,
    sK159: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_293,type,
    sK160: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_294,type,
    sK161: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_295,type,
    sK162: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_296,type,
    sK163: set_nat > set_nat > nat ).

thf(func_def_297,type,
    sK164: set_nat > set_nat > nat ).

thf(func_def_298,type,
    sK165: set_nat > ( nat > nat ) > nat ).

thf(func_def_299,type,
    sK166: set_nat > ( nat > nat ) > nat ).

thf(func_def_300,type,
    sK167: set_nat > ( nat > nat ) > nat ).

thf(func_def_301,type,
    sK168: set_nat > ( nat > nat ) > nat ).

thf(func_def_302,type,
    sK169: set_nat > ( nat > nat ) > nat ).

thf(func_def_303,type,
    sK170: set_nat > set_nat > nat ).

thf(func_def_304,type,
    sK171: set_nat > set_nat > nat ).

thf(func_def_305,type,
    sK172: set_nat > ( nat > nat ) > nat ).

thf(func_def_306,type,
    sK173: set_nat > ( nat > nat ) > nat ).

thf(func_def_307,type,
    sK174: set_nat > ( nat > nat ) > nat ).

thf(func_def_308,type,
    sK175: set_nat > ( nat > nat ) > nat ).

thf(func_def_309,type,
    sK176: set_nat > ( nat > nat ) > nat ).

thf(func_def_310,type,
    sK177: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_311,type,
    sK178: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_312,type,
    sK179: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_313,type,
    sK180: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_314,type,
    sK181: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_315,type,
    sK182: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_316,type,
    sK183: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_317,type,
    sK184: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_318,type,
    sK185: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_319,type,
    sK186: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_320,type,
    sK187: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_321,type,
    sK188: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_322,type,
    sK189: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_323,type,
    sK190: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_324,type,
    sK191: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_325,type,
    sK192: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_326,type,
    sK193: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_327,type,
    sK194: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_328,type,
    sK195: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_329,type,
    sK196: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_330,type,
    sK197: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_331,type,
    sK198: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_332,type,
    sK199: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_333,type,
    sK200: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_334,type,
    sK201: set_nat > set_nat > nat ).

thf(func_def_335,type,
    sK202: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_336,type,
    sK203: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_337,type,
    sK204: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_338,type,
    sK205: set_nat > set_nat > nat ).

thf(func_def_339,type,
    sK206: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_340,type,
    sK207: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_341,type,
    sK208: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_342,type,
    sK209: set_nat > set_nat > nat ).

thf(func_def_343,type,
    sK210: set_nat > ( nat > nat ) > nat ).

thf(func_def_344,type,
    sK211: set_nat > ( nat > nat ) > nat ).

thf(func_def_345,type,
    sK212: set_nat > ( nat > nat ) > nat ).

thf(func_def_346,type,
    sK213: set_nat > set_nat > nat ).

thf(func_def_347,type,
    sK214: set_nat > ( nat > nat ) > nat ).

thf(func_def_348,type,
    sK215: set_nat > ( nat > nat ) > nat ).

thf(func_def_349,type,
    sK216: set_nat > ( nat > nat ) > nat ).

thf(func_def_350,type,
    sK217: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_351,type,
    sK218: set_nat > set_nat > nat ).

thf(func_def_352,type,
    sK219: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_353,type,
    sK220: set_nat > set_nat > nat ).

thf(func_def_354,type,
    sK221: set_nat > set_nat > nat ).

thf(func_def_355,type,
    sK222: set_nat > ( nat > nat ) > nat ).

thf(func_def_356,type,
    sK223: set_nat > ( nat > nat ) > nat ).

thf(func_def_357,type,
    sK224: set_nat > ( nat > nat ) > nat ).

thf(func_def_358,type,
    sK225: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_359,type,
    sK226: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_360,type,
    sK227: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_361,type,
    sK228: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_362,type,
    sK229: set_nat > set_nat > nat ).

thf(func_def_363,type,
    sK230: set_nat > ( nat > nat ) > nat ).

thf(func_def_364,type,
    sK231: set_nat > ( nat > nat ) > nat ).

thf(func_def_365,type,
    sK232: set_nat > ( nat > nat ) > nat ).

thf(func_def_366,type,
    sK233: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_367,type,
    sK234: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_368,type,
    sK235: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_369,type,
    sK236: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_370,type,
    sK237: set_nat > nat ).

thf(func_def_371,type,
    sK238: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_372,type,
    sK239: set_nat > nat ).

thf(func_def_373,type,
    sK240: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_374,type,
    sK241: ( nat > nat ) > nat ).

thf(func_def_375,type,
    sK242: ( nat > nat ) > nat ).

thf(func_def_376,type,
    sK243: ( nat > nat ) > nat ).

thf(func_def_377,type,
    sK244: ( nat > nat ) > nat ).

thf(func_def_378,type,
    sK245: ( nat > nat ) > nat ).

thf(func_def_379,type,
    sK246: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_380,type,
    sK247: ( nat > nat ) > nat ).

thf(func_def_381,type,
    sK248: ( nat > nat ) > nat ).

thf(func_def_382,type,
    sK249: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_383,type,
    sK250: ( nat > nat ) > nat ).

thf(func_def_384,type,
    sK251: ( nat > nat ) > nat ).

thf(func_def_385,type,
    sK252: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_386,type,
    sK253: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_387,type,
    sK254: ( nat > nat ) > nat ).

thf(func_def_388,type,
    sK255: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_389,type,
    sK256: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_390,type,
    sK257: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_391,type,
    sK258: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_392,type,
    sK259: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_393,type,
    sK260: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_394,type,
    sK261: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_395,type,
    sK262: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_396,type,
    sK263: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_397,type,
    sK264: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_398,type,
    sK265: set_nat > set_nat > nat ).

thf(func_def_399,type,
    sK266: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_400,type,
    sK267: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_401,type,
    sK268: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_402,type,
    sK269: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_403,type,
    sK270: set_nat > set_nat > nat ).

thf(func_def_404,type,
    sK271: set_nat > ( nat > nat ) > nat ).

thf(func_def_405,type,
    sK272: set_nat > ( nat > nat ) > nat ).

thf(func_def_406,type,
    sK273: set_nat > ( nat > nat ) > nat ).

thf(func_def_407,type,
    sK274: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_408,type,
    sK275: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_409,type,
    sK276: set_nat > ( nat > nat ) > nat ).

thf(func_def_410,type,
    sK277: set_nat > ( nat > nat ) > nat ).

thf(func_def_411,type,
    sK278: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_412,type,
    sK279: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_413,type,
    sK280: set_nat > ( nat > nat ) > nat ).

thf(func_def_414,type,
    sK281: set_nat > ( nat > nat ) > nat ).

thf(func_def_415,type,
    sK282: ( nat > nat ) > set_nat > nat ).

thf(func_def_416,type,
    sK283: set_nat > ( nat > nat ) > nat ).

thf(func_def_417,type,
    sK284: set_nat > ( nat > nat ) > nat ).

thf(func_def_418,type,
    sK285: ( nat > nat ) > set_nat > nat ).

thf(func_def_419,type,
    sK286: set_nat > ( nat > nat ) > nat ).

thf(func_def_420,type,
    sK287: set_nat > ( nat > nat ) > nat ).

thf(func_def_421,type,
    sK288: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_422,type,
    sK289: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_423,type,
    sK290: set_nat > ( nat > nat ) > nat ).

thf(func_def_424,type,
    sK291: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_425,type,
    sK292: ( nat > nat ) > set_nat > nat ).

thf(func_def_426,type,
    sK293: set_nat > ( nat > nat ) > nat ).

thf(func_def_427,type,
    sK294: set_nat > ( nat > nat ) > nat ).

thf(func_def_428,type,
    sK295: ( nat > nat ) > set_nat > nat ).

thf(func_def_429,type,
    sK296: set_nat > ( nat > nat ) > nat ).

thf(func_def_430,type,
    sK297: set_nat > ( nat > nat ) > nat ).

thf(func_def_431,type,
    sK298: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_432,type,
    sK299: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_433,type,
    sK300: set_nat > ( nat > nat ) > nat ).

thf(func_def_434,type,
    sK301: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_435,type,
    sK302: ( nat > nat ) > set_nat > nat ).

thf(func_def_436,type,
    sK303: set_nat > ( nat > nat ) > nat ).

thf(func_def_437,type,
    sK304: set_nat > ( nat > nat ) > nat ).

thf(func_def_438,type,
    sK305: ( nat > nat ) > set_nat > nat ).

thf(func_def_439,type,
    sK306: set_nat > ( nat > nat ) > nat ).

thf(func_def_440,type,
    sK307: ( nat > nat ) > set_nat > nat ).

thf(func_def_441,type,
    sK308: set_nat > ( nat > nat ) > nat ).

thf(func_def_442,type,
    sK309: set_nat > ( nat > nat ) > nat ).

thf(func_def_443,type,
    sK310: ( nat > nat ) > set_nat > nat ).

thf(func_def_444,type,
    sK311: set_nat > ( nat > nat ) > nat ).

thf(func_def_445,type,
    sK312: set_nat > ( nat > nat ) > nat ).

thf(func_def_446,type,
    sK313: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_447,type,
    sK314: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_448,type,
    sK315: set_nat > ( nat > nat ) > nat ).

thf(func_def_449,type,
    sK316: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_450,type,
    sK317: set_nat > ( nat > nat ) > nat ).

thf(func_def_451,type,
    sK318: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_452,type,
    sK319: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_453,type,
    sK320: set_nat > ( nat > nat ) > nat ).

thf(func_def_454,type,
    sK321: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_455,type,
    sK322: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_456,type,
    sK323: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_457,type,
    sK324: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_458,type,
    sK325: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_459,type,
    sK326: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_460,type,
    sK327: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_461,type,
    sK328: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_462,type,
    sK329: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_463,type,
    sK330: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_464,type,
    sK331: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_465,type,
    sK332: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_466,type,
    sK333: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_467,type,
    sK334: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_468,type,
    sK335: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_469,type,
    sK336: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_470,type,
    sK337: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_471,type,
    sK338: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_472,type,
    sK339: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_473,type,
    sK340: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_474,type,
    sK341: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_475,type,
    sK342: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_476,type,
    sK343: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_477,type,
    sK344: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_478,type,
    sK345: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_479,type,
    sK346: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_480,type,
    sK347: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_481,type,
    sK348: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_482,type,
    sK349: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_483,type,
    sK350: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_484,type,
    sK351: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_485,type,
    sK352: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_486,type,
    sK353: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_487,type,
    sK354: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_488,type,
    sK355: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_489,type,
    sK356: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_490,type,
    sK357: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_491,type,
    sK358: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_492,type,
    sK359: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_493,type,
    sK360: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_494,type,
    sK361: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_495,type,
    sK362: nat > ( nat > nat ) > nat ).

thf(func_def_496,type,
    sK363: ( nat > nat ) > nat ).

thf(func_def_497,type,
    sK364: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_498,type,
    sK365: ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_499,type,
    sK366: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_500,type,
    sK367: ( paraco1605129243lle_tv > nat ) > nat ).

thf(func_def_501,type,
    sK368: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_502,type,
    sK369: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_503,type,
    sK370: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_504,type,
    sK371: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_505,type,
    sK372: set_nat > ( nat > nat ) > nat ).

thf(func_def_506,type,
    sK373: set_nat > ( nat > nat ) > nat ).

thf(func_def_507,type,
    sK374: set_nat > ( nat > nat ) > nat ).

thf(func_def_508,type,
    sK375: set_nat > ( nat > nat ) > nat ).

thf(func_def_509,type,
    sK376: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_510,type,
    sK377: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_511,type,
    sK378: set_nat > ( nat > nat ) > nat ).

thf(func_def_512,type,
    sK379: set_nat > ( nat > nat ) > nat ).

thf(func_def_513,type,
    sK380: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_514,type,
    sK381: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_515,type,
    sK382: set_se800614875lle_tv > ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_516,type,
    sK383: set_se800614875lle_tv > ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_517,type,
    sK384: set_se800614875lle_tv > ( set_Pa1764573435lle_tv > set_nat ) > set_Pa1764573435lle_tv ).

thf(func_def_518,type,
    sK385: set_se800614875lle_tv > ( set_Pa1764573435lle_tv > set_nat ) > set_Pa1764573435lle_tv ).

thf(func_def_519,type,
    sK386: set_se800614875lle_tv > ( set_Pa1764573435lle_tv > nat ) > set_Pa1764573435lle_tv ).

thf(func_def_520,type,
    sK387: set_se800614875lle_tv > ( set_Pa1764573435lle_tv > nat ) > set_Pa1764573435lle_tv ).

thf(func_def_521,type,
    sK388: set_set_nat > ( set_nat > set_Pa1764573435lle_tv ) > set_nat ).

thf(func_def_522,type,
    sK389: set_set_nat > ( set_nat > set_Pa1764573435lle_tv ) > set_nat ).

thf(func_def_523,type,
    sK390: set_set_nat > ( set_nat > set_nat ) > set_nat ).

thf(func_def_524,type,
    sK391: set_set_nat > ( set_nat > set_nat ) > set_nat ).

thf(func_def_525,type,
    sK392: set_set_nat > ( set_nat > nat ) > set_nat ).

thf(func_def_526,type,
    sK393: set_set_nat > ( set_nat > nat ) > set_nat ).

thf(func_def_527,type,
    sK394: set_nat > ( nat > set_Pa1764573435lle_tv ) > nat ).

thf(func_def_528,type,
    sK395: set_nat > ( nat > set_Pa1764573435lle_tv ) > nat ).

thf(func_def_529,type,
    sK396: set_nat > ( nat > set_nat ) > nat ).

thf(func_def_530,type,
    sK397: set_nat > ( nat > set_nat ) > nat ).

thf(func_def_531,type,
    sK398: set_nat > ( nat > nat ) > nat ).

thf(func_def_532,type,
    sK399: set_nat > ( nat > nat ) > nat ).

thf(func_def_533,type,
    sK400: ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > set_nat > nat ).

thf(func_def_534,type,
    sK401: ( nat > nat ) > nat > set_nat > nat ).

thf(func_def_535,type,
    sK402: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_536,type,
    sK403: ( product_prod_nat_nat > produc270694976lle_tv ) > produc270694976lle_tv > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_537,type,
    sK404: ( product_prod_nat_nat > produc194167194tv_nat ) > produc194167194tv_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_538,type,
    sK405: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_539,type,
    sK406: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_540,type,
    sK407: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_541,type,
    sK408: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_542,type,
    sK409: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_543,type,
    sK410: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_544,type,
    sK411: set_nat > ( nat > nat ) > nat ).

thf(func_def_545,type,
    sK412: set_nat > ( nat > nat ) > nat ).

thf(func_def_546,type,
    sK413: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_547,type,
    sK414: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_548,type,
    sK415: paraco1605129243lle_tv > ( product_prod_nat_nat > paraco1605129243lle_tv ) > product_prod_nat_nat ).

thf(func_def_549,type,
    sK416: paraco1605129243lle_tv > ( product_prod_nat_nat > paraco1605129243lle_tv ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_550,type,
    sK417: nat > ( product_prod_nat_nat > nat ) > product_prod_nat_nat ).

thf(func_def_551,type,
    sK418: nat > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_552,type,
    sK419: paraco1605129243lle_tv > ( produc270694976lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv ).

thf(func_def_553,type,
    sK420: paraco1605129243lle_tv > ( produc270694976lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(func_def_554,type,
    sK421: nat > ( produc270694976lle_tv > nat ) > produc270694976lle_tv ).

thf(func_def_555,type,
    sK422: nat > ( produc270694976lle_tv > nat ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(func_def_556,type,
    sK423: paraco1605129243lle_tv > ( produc194167194tv_nat > paraco1605129243lle_tv ) > produc194167194tv_nat ).

thf(func_def_557,type,
    sK424: paraco1605129243lle_tv > ( produc194167194tv_nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(func_def_558,type,
    sK425: nat > ( produc194167194tv_nat > nat ) > produc194167194tv_nat ).

thf(func_def_559,type,
    sK426: nat > ( produc194167194tv_nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(func_def_560,type,
    sK427: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_561,type,
    sK428: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_562,type,
    sK429: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_563,type,
    sK430: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_564,type,
    sK431: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_565,type,
    sK432: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat > nat ).

thf(func_def_566,type,
    sK433: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_567,type,
    sK434: nat > ( nat > nat ) > nat ).

thf(func_def_568,type,
    sK435: ( nat > nat ) > nat ).

thf(func_def_569,type,
    sK436: ( nat > nat ) > nat ).

thf(func_def_570,type,
    sK437: ( nat > nat ) > nat ).

thf(func_def_571,type,
    sK438: ( nat > nat ) > nat ).

thf(func_def_572,type,
    sK439: nat > ( nat > nat ) > nat > nat ).

thf(func_def_573,type,
    sK440: ( nat > nat ) > nat ).

thf(func_def_574,type,
    sK441: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_575,type,
    sK442: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_576,type,
    sK443: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_577,type,
    sK444: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_578,type,
    sK445: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_579,type,
    sK446: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_580,type,
    sK447: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_581,type,
    sK448: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_582,type,
    sK449: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_583,type,
    sK450: ( nat > nat ) > nat ).

thf(func_def_584,type,
    sK451: ( nat > nat ) > nat ).

thf(func_def_585,type,
    sK452: ( nat > nat ) > nat ).

thf(func_def_586,type,
    sK453: ( nat > nat ) > nat ).

thf(func_def_587,type,
    sK454: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_588,type,
    sK455: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_589,type,
    sK456: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_590,type,
    sK457: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_591,type,
    sK458: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_592,type,
    sK459: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_593,type,
    sK460: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_594,type,
    sK461: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_595,type,
    sK462: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_596,type,
    sK463: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_597,type,
    sK464: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_598,type,
    sK465: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_599,type,
    sK466: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_600,type,
    sK467: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_601,type,
    sK468: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_602,type,
    sK469: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_603,type,
    sK470: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_604,type,
    sK471: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_605,type,
    sK472: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_606,type,
    sK473: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_607,type,
    sK474: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_608,type,
    sK475: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_609,type,
    sK476: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_610,type,
    sK477: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_611,type,
    sK478: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_612,type,
    sK479: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_613,type,
    sK480: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_614,type,
    sK481: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_615,type,
    sK482: ( nat > nat ) > nat ).

thf(func_def_616,type,
    sK483: ( nat > nat ) > nat ).

thf(func_def_617,type,
    sK484: ( nat > nat ) > nat ).

thf(func_def_618,type,
    sK485: ( nat > nat ) > nat ).

thf(func_def_619,type,
    sK486: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_620,type,
    sK487: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_621,type,
    sK488: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_622,type,
    sK489: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_623,type,
    sK490: ( nat > nat ) > nat ).

thf(func_def_624,type,
    sK491: ( nat > nat ) > nat ).

thf(func_def_625,type,
    sK492: ( nat > nat ) > product_prod_nat_nat ).

thf(func_def_626,type,
    sK493: ( nat > nat ) > product_prod_nat_nat ).

thf(func_def_627,type,
    sK494: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_628,type,
    sK495: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_629,type,
    sK496: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_630,type,
    sK497: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_631,type,
    sK498: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv ).

thf(func_def_632,type,
    sK499: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv ).

thf(func_def_633,type,
    sK500: ( nat > nat ) > nat ).

thf(func_def_634,type,
    sK501: ( nat > nat ) > nat ).

thf(func_def_635,type,
    sK502: ( nat > nat ) > produc194167194tv_nat ).

thf(func_def_636,type,
    sK503: ( nat > nat ) > produc194167194tv_nat ).

thf(func_def_637,type,
    sK504: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_638,type,
    sK505: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_639,type,
    sK506: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_640,type,
    sK507: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_641,type,
    sK508: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv ).

thf(func_def_642,type,
    sK509: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv ).

thf(func_def_643,type,
    sK510: set_nat > ( nat > nat ) > nat ).

thf(func_def_644,type,
    sK511: set_nat > ( nat > nat ) > nat ).

thf(func_def_645,type,
    sK512: ( nat > nat ) > nat ).

thf(func_def_646,type,
    sK513: ( nat > nat ) > nat ).

thf(func_def_647,type,
    sK514: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_648,type,
    sK515: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_649,type,
    sK516: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_650,type,
    sK517: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_651,type,
    sK518: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_652,type,
    sK519: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_653,type,
    sK520: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_654,type,
    sK521: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_655,type,
    sK522: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_656,type,
    sK523: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_657,type,
    sK524: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_658,type,
    sK525: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_659,type,
    sK526: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_660,type,
    sK527: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_661,type,
    sK528: set_nat > ( nat > nat ) > nat ).

thf(func_def_662,type,
    sK529: set_nat > ( nat > nat ) > nat ).

thf(func_def_663,type,
    sK530: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_664,type,
    sK531: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_665,type,
    sK532: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_666,type,
    sK533: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_667,type,
    sK534: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_668,type,
    sK535: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_669,type,
    sK536: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_670,type,
    sK537: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_671,type,
    sK538: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_672,type,
    sK539: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_673,type,
    sK540: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_674,type,
    sK541: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_675,type,
    sK542: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_676,type,
    sK543: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_677,type,
    sK544: set_nat > ( nat > nat ) > nat ).

thf(func_def_678,type,
    sK545: set_nat > ( nat > nat ) > nat ).

thf(func_def_679,type,
    sK546: set_nat > ( nat > nat ) > nat ).

thf(func_def_680,type,
    sK547: set_nat > ( nat > nat ) > nat ).

thf(func_def_681,type,
    sK548: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_682,type,
    sK549: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_683,type,
    sK550: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_684,type,
    sK551: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_685,type,
    sK552: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_686,type,
    sK553: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_687,type,
    sK554: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_688,type,
    sK555: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_689,type,
    sK556: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_690,type,
    sK557: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_691,type,
    sK558: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_692,type,
    sK559: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_693,type,
    sK560: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_694,type,
    sK561: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_695,type,
    sK562: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_696,type,
    sK563: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_697,type,
    sK564: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_698,type,
    sK565: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_699,type,
    sK566: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_700,type,
    sK567: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_701,type,
    sK568: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_702,type,
    sK569: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_703,type,
    sK570: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_704,type,
    sK571: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_705,type,
    sK572: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_706,type,
    sK573: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_707,type,
    sK574: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_708,type,
    sK575: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_709,type,
    sK576: ( nat > nat ) > set_nat > nat ).

thf(func_def_710,type,
    sK577: ( nat > nat ) > set_nat > nat ).

thf(func_def_711,type,
    sK578: set_nat > ( nat > nat ) > nat ).

thf(func_def_712,type,
    sK579: set_nat > ( nat > nat ) > nat ).

thf(func_def_713,type,
    sK580: ( nat > nat ) > set_nat > nat ).

thf(func_def_714,type,
    sK581: ( nat > nat ) > set_nat > nat ).

thf(func_def_715,type,
    sK582: set_nat > ( nat > nat ) > nat ).

thf(func_def_716,type,
    sK583: set_nat > ( nat > nat ) > nat ).

thf(func_def_717,type,
    sK584: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_718,type,
    sK585: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_719,type,
    sK586: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_720,type,
    sK587: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_721,type,
    sK588: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_722,type,
    sK589: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_723,type,
    sK590: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_724,type,
    sK591: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_725,type,
    sK592: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_726,type,
    sK593: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_727,type,
    sK594: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_728,type,
    sK595: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_729,type,
    sK596: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_730,type,
    sK597: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_731,type,
    sK598: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_732,type,
    sK599: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_733,type,
    sK600: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_734,type,
    sK601: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_735,type,
    sK602: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_736,type,
    sK603: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_737,type,
    sK604: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_738,type,
    sK605: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_739,type,
    sK606: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_740,type,
    sK607: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_741,type,
    sK608: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_742,type,
    sK609: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_743,type,
    sK610: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_744,type,
    sK611: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_745,type,
    sK612: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_746,type,
    sK613: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_747,type,
    sK614: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_748,type,
    sK615: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_749,type,
    sK616: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_750,type,
    sK617: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_751,type,
    sK618: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_752,type,
    sK619: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_753,type,
    sK620: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_754,type,
    sK621: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_755,type,
    sK622: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_756,type,
    sK623: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_757,type,
    sK624: set_nat > ( nat > nat ) > nat ).

thf(func_def_758,type,
    sK625: set_nat > ( nat > nat ) > nat ).

thf(func_def_759,type,
    sK626: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_760,type,
    sK627: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_761,type,
    sK628: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_762,type,
    sK629: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_763,type,
    sK630: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_764,type,
    sK631: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_765,type,
    sK632: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_766,type,
    sK633: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_767,type,
    sK634: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_768,type,
    sK635: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_769,type,
    sK636: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_770,type,
    sK637: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_771,type,
    sK638: ( nat > nat ) > nat ).

thf(func_def_772,type,
    sK639: ( nat > nat ) > nat ).

thf(func_def_773,type,
    sK640: ( nat > nat ) > nat ).

thf(func_def_774,type,
    sK641: ( nat > nat ) > nat ).

thf(func_def_775,type,
    sK642: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_776,type,
    sK643: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_777,type,
    sK644: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_778,type,
    sK645: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_779,type,
    sK646: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_780,type,
    sK647: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_781,type,
    sK648: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_782,type,
    sK649: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_783,type,
    sK650: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_784,type,
    sK651: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_785,type,
    sK652: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_786,type,
    sK653: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_787,type,
    sK654: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_788,type,
    sK655: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_789,type,
    sK656: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_790,type,
    sK657: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_791,type,
    sK658: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_792,type,
    sK659: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_793,type,
    sK660: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_794,type,
    sK661: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_795,type,
    sK662: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_796,type,
    sK663: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_797,type,
    sK664: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_798,type,
    sK665: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_799,type,
    sK666: ( nat > nat ) > nat ).

thf(func_def_800,type,
    sK667: ( nat > nat ) > nat ).

thf(func_def_801,type,
    sK668: ( nat > nat ) > nat ).

thf(func_def_802,type,
    sK669: ( nat > nat ) > nat ).

thf(func_def_803,type,
    sK670: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_804,type,
    sK671: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_805,type,
    sK672: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_806,type,
    sK673: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_807,type,
    sK674: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_808,type,
    sK675: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_809,type,
    sK676: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_810,type,
    sK677: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_811,type,
    sK678: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_812,type,
    sK679: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_813,type,
    sK680: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_814,type,
    sK681: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_815,type,
    sK682: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_816,type,
    sK683: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_817,type,
    sK684: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_818,type,
    sK685: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_819,type,
    sK686: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_820,type,
    sK687: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_821,type,
    sK688: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_822,type,
    sK689: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_823,type,
    sK690: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_824,type,
    sK691: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_825,type,
    sK692: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_826,type,
    sK693: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_827,type,
    sK694: ( nat > nat ) > nat ).

thf(func_def_828,type,
    sK695: ( nat > nat ) > nat ).

thf(func_def_829,type,
    sK696: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_830,type,
    sK697: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_831,type,
    sK698: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_832,type,
    sK699: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_833,type,
    sK700: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_834,type,
    sK701: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_835,type,
    sK702: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_836,type,
    sK703: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_837,type,
    sK704: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_838,type,
    sK705: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_839,type,
    sK706: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_840,type,
    sK707: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_842,type,
    sK709: ( nat > nat ) > nat ).

thf(f1,axiom,
    ! [X0: paraco1605129243lle_tv,X1: paraco1605129243lle_tv] :
      ( ( ( paraco1147068288nge_tv @ f @ X0 )
        = ( paraco1147068288nge_tv @ f @ X1 ) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062) ).

thf(f61,axiom,
    ( inj_on772319074lle_tv
    = ( ^ [X0: paraco1605129243lle_tv > paraco1605129243lle_tv,X1: set_Pa1764573435lle_tv] :
        ! [X2: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ X2 @ X1 )
         => ! [X3: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ X3 @ X1 )
             => ( ( ( X0 @ X2 )
                  = ( X0 @ X3 ) )
               => ( X2 = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_inj__on__def) ).

thf(f356,conjecture,
    inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f357,negated_conjecture,
    ~ ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv ),
    inference(negated_conjecture,[status(cth)],[f356]) ).

thf(f467,plain,
    ( inj_on772319074lle_tv
    = ( ^ [X0: paraco1605129243lle_tv > paraco1605129243lle_tv,X1: set_Pa1764573435lle_tv] :
        ! [X2: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ X2 @ X1 )
         => ! [X3: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ X3 @ X1 )
             => ( ( ( X0 @ X2 )
                  = ( X0 @ X3 ) )
               => ( X2 = X3 ) ) ) ) ) ),
    inference(rectify,[],[f61]) ).

thf(f468,plain,
    ( inj_on772319074lle_tv
    = ( ^ [Y0: paraco1605129243lle_tv > paraco1605129243lle_tv,Y1: set_Pa1764573435lle_tv] :
          ( !! @ paraco1605129243lle_tv
          @ ^ [Y2: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y2 @ Y1 )
             => ( !! @ paraco1605129243lle_tv
                @ ^ [Y3: paraco1605129243lle_tv] :
                    ( ( member266900804lle_tv @ Y3 @ Y1 )
                   => ( ( ( Y0 @ Y2 )
                        = ( Y0 @ Y3 ) )
                     => ( Y2 = Y3 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f467]) ).

thf(f967,plain,
    ~ ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv ),
    inference(rectify,[],[f357]) ).

thf(f968,plain,
    ( ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv )
   != $true ),
    inference(fool_elimination,[],[f967]) ).

thf(f971,plain,
    ( ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv )
   != $true ),
    inference(flattening,[],[f968]) ).

thf(f972,plain,
    ! [X0: paraco1605129243lle_tv,X1: paraco1605129243lle_tv] :
      ( ( X0 = X1 )
      | ( ( paraco1147068288nge_tv @ f @ X0 )
       != ( paraco1147068288nge_tv @ f @ X1 ) ) ),
    inference(ennf_transformation,[],[f1]) ).

thf(f1471,plain,
    ! [X0: paraco1605129243lle_tv,X1: paraco1605129243lle_tv] :
      ( ( ( paraco1147068288nge_tv @ f @ X0 )
       != ( paraco1147068288nge_tv @ f @ X1 ) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f972]) ).

thf(f1559,plain,
    ( inj_on772319074lle_tv
    = ( ^ [Y0: paraco1605129243lle_tv > paraco1605129243lle_tv,Y1: set_Pa1764573435lle_tv] :
          ( !! @ paraco1605129243lle_tv
          @ ^ [Y2: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y2 @ Y1 )
             => ( !! @ paraco1605129243lle_tv
                @ ^ [Y3: paraco1605129243lle_tv] :
                    ( ( member266900804lle_tv @ Y3 @ Y1 )
                   => ( ( ( Y0 @ Y2 )
                        = ( Y0 @ Y3 ) )
                     => ( Y2 = Y3 ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f468]) ).

thf(f1938,plain,
    ( ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv )
   != $true ),
    inference(cnf_transformation,[],[f971]) ).

thf(f2215,plain,
    ( $true
   != ( ^ [Y0: paraco1605129243lle_tv > paraco1605129243lle_tv,Y1: set_Pa1764573435lle_tv] :
          ( !! @ paraco1605129243lle_tv
          @ ^ [Y2: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y2 @ Y1 )
             => ( !! @ paraco1605129243lle_tv
                @ ^ [Y3: paraco1605129243lle_tv] :
                    ( ( member266900804lle_tv @ Y3 @ Y1 )
                   => ( ( ( Y0 @ Y2 )
                        = ( Y0 @ Y3 ) )
                     => ( Y2 = Y3 ) ) ) ) ) )
      @ ( paraco1147068288nge_tv @ f )
      @ top_to1057771083lle_tv ) ),
    inference(definition_unfolding,[],[f1938,f1559]) ).

thf(f2264,plain,
    ( $true
   != ( !! @ paraco1605129243lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ Y0 @ top_to1057771083lle_tv )
         => ( !! @ paraco1605129243lle_tv
            @ ^ [Y1: paraco1605129243lle_tv] :
                ( ( member266900804lle_tv @ Y1 @ top_to1057771083lle_tv )
               => ( ( ( paraco1147068288nge_tv @ f @ Y0 )
                    = ( paraco1147068288nge_tv @ f @ Y1 ) )
                 => ( Y0 = Y1 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2215]) ).

thf(f2265,plain,
    ( $false
    = ( ^ [Y0: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ Y0 @ top_to1057771083lle_tv )
         => ( !! @ paraco1605129243lle_tv
            @ ^ [Y1: paraco1605129243lle_tv] :
                ( ( member266900804lle_tv @ Y1 @ top_to1057771083lle_tv )
               => ( ( ( paraco1147068288nge_tv @ f @ Y0 )
                    = ( paraco1147068288nge_tv @ f @ Y1 ) )
                 => ( Y0 = Y1 ) ) ) ) )
      @ sK137 ) ),
    inference(sigma_proxy_clausification,[],[f2264]) ).

thf(f2266,plain,
    ( $false
    = ( ( member266900804lle_tv @ sK137 @ top_to1057771083lle_tv )
     => ( !! @ paraco1605129243lle_tv
        @ ^ [Y0: paraco1605129243lle_tv] :
            ( ( member266900804lle_tv @ Y0 @ top_to1057771083lle_tv )
           => ( ( ( paraco1147068288nge_tv @ f @ sK137 )
                = ( paraco1147068288nge_tv @ f @ Y0 ) )
             => ( sK137 = Y0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2265]) ).

thf(f2267,plain,
    ( $false
    = ( !! @ paraco1605129243lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ Y0 @ top_to1057771083lle_tv )
         => ( ( ( paraco1147068288nge_tv @ f @ sK137 )
              = ( paraco1147068288nge_tv @ f @ Y0 ) )
           => ( sK137 = Y0 ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f2266]) ).

thf(f2269,plain,
    ( $false
    = ( ^ [Y0: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ Y0 @ top_to1057771083lle_tv )
         => ( ( ( paraco1147068288nge_tv @ f @ sK137 )
              = ( paraco1147068288nge_tv @ f @ Y0 ) )
           => ( sK137 = Y0 ) ) )
      @ sK138 ) ),
    inference(sigma_proxy_clausification,[],[f2267]) ).

thf(f2270,plain,
    ( $false
    = ( ( member266900804lle_tv @ sK138 @ top_to1057771083lle_tv )
     => ( ( ( paraco1147068288nge_tv @ f @ sK137 )
          = ( paraco1147068288nge_tv @ f @ sK138 ) )
       => ( sK137 = sK138 ) ) ) ),
    inference(beta-eta_normalization,[],[f2269]) ).

thf(f2271,plain,
    ( $false
    = ( ( ( paraco1147068288nge_tv @ f @ sK137 )
        = ( paraco1147068288nge_tv @ f @ sK138 ) )
     => ( sK137 = sK138 ) ) ),
    inference(imp_proxy_clausification,[],[f2270]) ).

thf(f2273,plain,
    ( $false
    = ( sK137 = sK138 ) ),
    inference(imp_proxy_clausification,[],[f2271]) ).

thf(f2274,plain,
    ( $true
    = ( ( paraco1147068288nge_tv @ f @ sK137 )
      = ( paraco1147068288nge_tv @ f @ sK138 ) ) ),
    inference(imp_proxy_clausification,[],[f2271]) ).

thf(f2275,plain,
    ( ( paraco1147068288nge_tv @ f @ sK137 )
    = ( paraco1147068288nge_tv @ f @ sK138 ) ),
    inference(equality_proxy_clausification,[],[f2274]) ).

thf(f2276,plain,
    sK137 != sK138,
    inference(equality_proxy_clausification,[],[f2273]) ).

thf(f10644,plain,
    ! [X0: paraco1605129243lle_tv] :
      ( ( ( paraco1147068288nge_tv @ f @ X0 )
       != ( paraco1147068288nge_tv @ f @ sK137 ) )
      | ( sK138 = X0 ) ),
    inference(constrained_superposition,[],[f1471,f2275]) ).

thf(f10653,plain,
    sK137 = sK138,
    inference(equality_resolution,[],[f10644]) ).

thf(f10654,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f10653,f2276]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP139^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n008.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 20:00:09 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.47  % (3661047)Will run a generic schedule for satisfiability detection.
% 0.75/0.47  % (3661054)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4228264371:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.75/0.47  % (3661053)% WARNING: option uhcvi not known.
% 0.75/0.47  % (3661053)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3114700457:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.75/0.47  % (3661052)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4281761175_2999 on theBenchmark for (2999ds/0Mi)
% 0.75/0.47  % (3661055)dis+10_1_sil=32000:sp=arity:random_seed=490737294:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.75/0.47  % (3661056)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=329462518:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.75/0.47  % (3661053)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.75/0.47  % (3661058)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3312026929:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.75/0.47  % (3661057)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2121700949:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.47  % (3661055)Instruction limit reached! 
% 0.75/0.47  % (3661055)------------------------------
% 0.75/0.47  % (3661055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.47  % (3661055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.47  % (3661055)CaDiCaL version: 2.1.3
% 0.75/0.47  % (3661055)Termination reason: Instruction limit
% 0.75/0.47  % (3661055)Termination phase: Property scanning
% 0.75/0.47  % (3661055)Time elapsed: 0.043 s
% 0.75/0.47  % (3661055)Peak memory usage: 12 MB
% 0.75/0.47  % (3661055)Instructions burned: 105 (million)
% 0.75/0.47  % (3661056)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.75/0.47  % Exception at run slice level
% 0.75/0.47  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.75/0.47  % (3661053)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.75/0.47  % (3661066)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3059400613:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.75/0.47  % (3661067)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3224523767:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.75/0.47  % (3661058)Instruction limit reached! 
% 0.75/0.47  % (3661058)------------------------------
% 0.75/0.47  % (3661058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.47  % (3661058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.47  % (3661058)CaDiCaL version: 2.1.3
% 0.75/0.47  % (3661058)Termination reason: Instruction limit
% 0.75/0.47  % (3661058)Termination phase: Saturation
% 0.75/0.47  % (3661058)Time elapsed: 0.081 s
% 0.75/0.47  % (3661058)Peak memory usage: 13 MB
% 0.75/0.47  % (3661058)Instructions burned: 160 (million)
% 0.75/0.47  % (3661056)Instruction limit reached! 
% 0.75/0.47  % (3661056)------------------------------
% 0.75/0.47  % (3661056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.47  % (3661056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.47  % (3661056)CaDiCaL version: 2.1.3
% 0.75/0.47  % (3661056)Termination reason: Instruction limit
% 0.75/0.47  % (3661056)Termination phase: Property scanning
% 0.75/0.47  % (3661056)Time elapsed: 0.091 s
% 0.75/0.47  % (3661056)Peak memory usage: 11 MB
% 0.75/0.47  % (3661056)Instructions burned: 117 (million)
% 0.75/0.47  % (3661057)Instruction limit reached! 
% 0.75/0.47  % (3661057)------------------------------
% 0.75/0.47  % (3661057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.47  % (3661057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.47  % (3661057)CaDiCaL version: 2.1.3
% 0.75/0.47  % (3661057)Termination reason: Instruction limit
% 0.75/0.47  % (3661057)Termination phase: Property scanning
% 0.75/0.47  % (3661057)Time elapsed: 0.092 s
% 0.75/0.47  % (3661057)Peak memory usage: 11 MB
% 0.75/0.47  % (3661057)Instructions burned: 131 (million)
% 0.75/0.47  % (3661072)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=406788340:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.75/0.47  % (3661067)Instruction limit reached! 
% 0.75/0.47  % (3661067)------------------------------
% 0.75/0.47  % (3661067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.47  % (3661067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.47  % (3661067)CaDiCaL version: 2.1.3
% 0.75/0.47  % (3661067)Termination reason: Instruction limit
% 0.75/0.47  % (3661067)Termination phase: Property scanning
% 0.75/0.47  % (3661067)Time elapsed: 0.054 s
% 0.75/0.47  % (3661067)Peak memory usage: 11 MB
% 0.75/0.47  % (3661067)Instructions burned: 132 (million)
% 0.75/0.47  % (3661070)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=344495858:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.75/0.47  % (3661071)ott-21_1_sil=16000:fs=off:random_seed=368326411:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.75/0.47  % (3661074)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3291380232:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.75/0.47  % (3661053) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3661047-3661053"...
% 0.75/0.47  % (3661053)...printing done.
% 0.75/0.47  % (3661053)Refutation found. Thanks to Tanya!
% 0.75/0.47  % SZS status Theorem for theBenchmark
% 0.75/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.47  % (3661053)------------------------------
% 0.75/0.47  % (3661053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.47  % (3661053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.47  % (3661053)CaDiCaL version: 2.1.3
% 0.75/0.47  % (3661053)Termination reason: Refutation
% 0.75/0.47  % (3661053)Time elapsed: 0.173 s
% 0.75/0.47  % (3661053)Peak memory usage: 17 MB
% 0.75/0.47  % (3661053)Instructions burned: 385 (million)
% 0.75/0.47  % (3661047)Success in time 0.235 s
% 0.75/0.47  % Vampire exiting
%------------------------------------------------------------------------------