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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP135^1 : 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 : n002.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 08:10:50 AM UTC 2026

% Result   : Theorem 1.49s 0.51s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   47 (  26 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  146 (   7   ~;   0   |;   0   &; 139   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :   23 (  22 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  728 ( 725 usr;  25 con; 0-5 aty)
%            Number of variables   :   19 (  19   ^;   0   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1723822845lle_tv: $tType ).

thf(type_def_6,type,
    set_Pr2120184979lle_fm: $tType ).

thf(type_def_7,type,
    produc1443694919lle_tv: $tType ).

thf(type_def_8,type,
    produc696645085lle_fm: $tType ).

thf(type_def_9,type,
    set_Pr2014382200lle_tv: $tType ).

thf(type_def_10,type,
    set_Pr840833727at_nat: $tType ).

thf(type_def_11,type,
    set_Pr560526279lle_tv: $tType ).

thf(type_def_12,type,
    produc1647334210lle_tv: $tType ).

thf(type_def_13,type,
    produc596913417at_nat: $tType ).

thf(type_def_14,type,
    produc931990033lle_tv: $tType ).

thf(type_def_15,type,
    set_Pr1725653840tv_nat: $tType ).

thf(type_def_16,type,
    set_Pr13445366lle_tv: $tType ).

thf(type_def_17,type,
    produc194167194tv_nat: $tType ).

thf(type_def_18,type,
    produc270694976lle_tv: $tType ).

thf(type_def_19,type,
    set_Pr1986765409at_nat: $tType ).

thf(type_def_20,type,
    set_Pa1764573435lle_tv: $tType ).

thf(type_def_21,type,
    product_prod_nat_nat: $tType ).

thf(type_def_22,type,
    paraco1605129243lle_tv: $tType ).

thf(type_def_23,type,
    paraco1604210848lle_fm: $tType ).

thf(type_def_24,type,
    list_char: $tType ).

thf(type_def_25,type,
    set_nat: $tType ).

thf(type_def_26,type,
    nat: $tType ).

thf(type_def_27,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_on26176689at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > $o ).

thf(func_def_5,type,
    inj_on1745913142lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > $o ).

thf(func_def_6,type,
    inj_on552895452tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > $o ).

thf(func_def_7,type,
    inj_on2112487900lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > $o ).

thf(func_def_8,type,
    the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).

thf(func_def_9,type,
    the_in452116896lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_10,type,
    if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_11,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_12,type,
    ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_13,type,
    ord_le1007985907lle_fm: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > $o ).

thf(func_def_14,type,
    ord_le1784136743lle_tv: set_Pr560526279lle_tv > set_Pr560526279lle_tv > $o ).

thf(func_def_15,type,
    top_top_nat_o: nat > $o ).

thf(func_def_16,type,
    top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).

thf(func_def_17,type,
    top_to632227436_nat_o: product_prod_nat_nat > $o ).

thf(func_def_18,type,
    top_to1889334367e_tv_o: produc270694976lle_tv > $o ).

thf(func_def_19,type,
    top_to900819589_nat_o: produc194167194tv_nat > $o ).

thf(func_def_20,type,
    top_top_o: $o ).

thf(func_def_21,type,
    top_top_set_nat: set_nat ).

thf(func_def_22,type,
    top_to1057771083lle_tv: set_Pa1764573435lle_tv ).

thf(func_def_23,type,
    top_to775056195lle_fm: set_Pr2120184979lle_fm ).

thf(func_def_24,type,
    top_to449985143lle_tv: set_Pr560526279lle_tv ).

thf(func_def_25,type,
    top_to1555900337at_nat: set_Pr1986765409at_nat ).

thf(func_def_26,type,
    top_to1411004326lle_tv: set_Pr13445366lle_tv ).

thf(func_def_27,type,
    top_to378694061lle_tv: set_Pr1723822845lle_tv ).

thf(func_def_28,type,
    top_to730292591at_nat: set_Pr840833727at_nat ).

thf(func_def_29,type,
    top_to975729152tv_nat: set_Pr1725653840tv_nat ).

thf(func_def_30,type,
    top_to1871154984lle_tv: set_Pr2014382200lle_tv ).

thf(func_def_31,type,
    paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).

thf(func_def_32,type,
    paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_33,type,
    paraco1632582009tv_rel: produc931990033lle_tv > produc931990033lle_tv > $o ).

thf(func_def_34,type,
    paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).

thf(func_def_35,type,
    paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_36,type,
    paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_37,type,
    paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_38,type,
    paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_39,type,
    paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).

thf(func_def_40,type,
    paraco367965286_Truth: paraco1604210848lle_fm ).

thf(func_def_41,type,
    paraco1344940915le_Det: $o > paraco1605129243lle_tv ).

thf(func_def_42,type,
    paraco793048302_Indet: nat > paraco1605129243lle_tv ).

thf(func_def_43,type,
    paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_44,type,
    paraco327635598_valid: paraco1604210848lle_fm > $o ).

thf(func_def_45,type,
    paraco55203475lid_in: set_nat > paraco1604210848lle_fm > $o ).

thf(func_def_46,type,
    produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).

thf(func_def_47,type,
    produc1680557635lle_tv: ( nat > nat ) > paraco1605129243lle_tv > produc931990033lle_tv ).

thf(func_def_48,type,
    produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).

thf(func_def_49,type,
    produc1633679363at_nat: paraco1605129243lle_tv > ( nat > nat ) > produc596913417at_nat ).

thf(func_def_50,type,
    produc1942165868lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > produc696645085lle_fm ).

thf(func_def_51,type,
    produc939316703lle_tv: ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > produc931990033lle_tv ).

thf(func_def_52,type,
    produc1807466521lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).

thf(func_def_53,type,
    produc109093078at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).

thf(func_def_54,type,
    produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).

thf(func_def_55,type,
    produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).

thf(func_def_56,type,
    produc752649287e_tv_o: ( produc931990033lle_tv > $o ) > ( nat > nat ) > paraco1605129243lle_tv > $o ).

thf(func_def_57,type,
    produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).

thf(func_def_58,type,
    produc1566550641lle_tv: ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc931990033lle_tv ).

thf(func_def_59,type,
    produc951033137lle_fm: ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc931990033lle_tv > produc696645085lle_fm ).

thf(func_def_60,type,
    produc532909085lle_tv: ( ( nat > nat ) > nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).

thf(func_def_61,type,
    produc505105722at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_62,type,
    produc313957681lle_tv: ( nat > nat ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc270694976lle_tv ).

thf(func_def_63,type,
    produc1685803475tv_nat: ( nat > nat ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > product_prod_nat_nat ).

thf(func_def_64,type,
    produc2101297531lle_tv: ( nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(func_def_65,type,
    produc1250721397at_nat: ( nat > paraco1605129243lle_tv ) > ( nat > nat ) > product_prod_nat_nat > produc194167194tv_nat ).

thf(func_def_66,type,
    produc210389789lle_tv: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc1647334210lle_tv ).

thf(func_def_67,type,
    produc189459613tv_nat: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > produc194167194tv_nat ).

thf(func_def_68,type,
    produc1975500101lle_tv: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc1647334210lle_tv ).

thf(func_def_69,type,
    produc386540311at_nat: ( paraco1605129243lle_tv > nat ) > ( nat > nat ) > produc194167194tv_nat > product_prod_nat_nat ).

thf(func_def_70,type,
    produc72207551lle_tv: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc270694976lle_tv ).

thf(func_def_71,type,
    produc42536895at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(func_def_72,type,
    produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).

thf(func_def_73,type,
    produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_74,type,
    produc1636169559lle_tv: produc931990033lle_tv > nat > nat ).

thf(func_def_75,type,
    produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).

thf(func_def_76,type,
    produc1589291287at_nat: produc596913417at_nat > paraco1605129243lle_tv ).

thf(func_def_77,type,
    produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_78,type,
    produc547496597lle_tv: produc931990033lle_tv > paraco1605129243lle_tv ).

thf(func_def_79,type,
    produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).

thf(func_def_80,type,
    produc500618325at_nat: produc596913417at_nat > nat > nat ).

thf(func_def_81,type,
    produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).

thf(func_def_82,type,
    produc225513635lle_tv: produc931990033lle_tv > produc596913417at_nat ).

thf(func_def_83,type,
    produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).

thf(func_def_84,type,
    produc178635363at_nat: produc596913417at_nat > produc931990033lle_tv ).

thf(func_def_85,type,
    inv_image_nat_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).

thf(func_def_86,type,
    inv_im1292588663lle_tv: set_Pr1986765409at_nat > ( paraco1605129243lle_tv > nat ) > set_Pr2014382200lle_tv ).

thf(func_def_87,type,
    inv_im516950809tv_nat: set_Pr2014382200lle_tv > ( nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat ).

thf(func_def_88,type,
    inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).

thf(func_def_89,type,
    total_on_nat: set_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_90,type,
    total_1781621663lle_tv: set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o ).

thf(func_def_91,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_92,type,
    collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(func_def_93,type,
    collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).

thf(func_def_94,type,
    collec1624074086lle_tv: ( produc931990033lle_tv > $o ) > set_Pr560526279lle_tv ).

thf(func_def_95,type,
    collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).

thf(func_def_96,type,
    collec924990229lle_tv: ( produc270694976lle_tv > $o ) > set_Pr13445366lle_tv ).

thf(func_def_97,type,
    collec1582599068lle_tv: ( produc1443694919lle_tv > $o ) > set_Pr1723822845lle_tv ).

thf(func_def_98,type,
    collec1288997470at_nat: ( produc596913417at_nat > $o ) > set_Pr840833727at_nat ).

thf(func_def_99,type,
    collec848462447tv_nat: ( produc194167194tv_nat > $o ) > set_Pr1725653840tv_nat ).

thf(func_def_100,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_101,type,
    image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).

thf(func_def_102,type,
    image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).

thf(func_def_103,type,
    image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_104,type,
    image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).

thf(func_def_105,type,
    image_1154804148lle_tv: ( produc696645085lle_fm > produc931990033lle_tv ) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv ).

thf(func_def_106,type,
    image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).

thf(func_def_107,type,
    image_1585092542lle_fm: ( produc931990033lle_tv > produc696645085lle_fm ) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm ).

thf(func_def_108,type,
    image_1751508608lle_tv: ( produc931990033lle_tv > produc931990033lle_tv ) > set_Pr560526279lle_tv > set_Pr560526279lle_tv ).

thf(func_def_109,type,
    image_1724396928at_nat: ( produc931990033lle_tv > produc596913417at_nat ) > set_Pr560526279lle_tv > set_Pr840833727at_nat ).

thf(func_def_110,type,
    image_815163717at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).

thf(func_def_111,type,
    image_1674248956lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > set_Pr13445366lle_tv ).

thf(func_def_112,type,
    image_1597721174tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat ).

thf(func_def_113,type,
    image_1507992062lle_tv: ( product_prod_nat_nat > produc1647334210lle_tv ) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv ).

thf(func_def_114,type,
    image_1787705850at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > set_Pr1986765409at_nat ).

thf(func_def_115,type,
    image_149830562lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > set_Pr13445366lle_tv ).

thf(func_def_116,type,
    image_53754658tv_nat: ( produc270694976lle_tv > produc194167194tv_nat ) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat ).

thf(func_def_117,type,
    image_988201162lle_tv: ( produc270694976lle_tv > produc1647334210lle_tv ) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv ).

thf(func_def_118,type,
    image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).

thf(func_def_119,type,
    image_769496456lle_tv: ( produc596913417at_nat > produc931990033lle_tv ) > set_Pr840833727at_nat > set_Pr560526279lle_tv ).

thf(func_def_120,type,
    image_1805124128at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat ).

thf(func_def_121,type,
    image_1200372424lle_tv: ( produc194167194tv_nat > produc270694976lle_tv ) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv ).

thf(func_def_122,type,
    accp_P2085826120lle_tv: ( produc931990033lle_tv > produc931990033lle_tv > $o ) > produc931990033lle_tv > $o ).

thf(func_def_123,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_124,type,
    member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_125,type,
    member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).

thf(func_def_126,type,
    member1569366824lle_tv: produc931990033lle_tv > set_Pr560526279lle_tv > $o ).

thf(func_def_127,type,
    member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_128,type,
    member813679063lle_tv: produc270694976lle_tv > set_Pr13445366lle_tv > $o ).

thf(func_def_129,type,
    member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).

thf(func_def_130,type,
    member1234290208at_nat: produc596913417at_nat > set_Pr840833727at_nat > $o ).

thf(func_def_131,type,
    member737151281tv_nat: produc194167194tv_nat > set_Pr1725653840tv_nat > $o ).

thf(func_def_132,type,
    member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).

thf(func_def_133,type,
    f: nat > nat ).

thf(func_def_134,type,
    i: list_char > paraco1605129243lle_tv ).

thf(func_def_135,type,
    p1: paraco1604210848lle_fm ).

thf(func_def_136,type,
    p2: paraco1604210848lle_fm ).

thf(func_def_140,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_141,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_142,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_143,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_144,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_145,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_146,type,
    vAND: $o > $o > $o ).

thf(func_def_147,type,
    vIMP: $o > $o > $o ).

thf(func_def_148,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_149,type,
    vNOT: $o > $o ).

thf(func_def_150,type,
    vOR: $o > $o > $o ).

thf(func_def_151,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_152,type,
    sP0: ( paraco1604210848lle_fm > $o ) > $o ).

thf(func_def_153,type,
    sP1: ( paraco1604210848lle_fm > $o ) > $o ).

thf(func_def_154,type,
    sP2: ( paraco1604210848lle_fm > $o ) > $o ).

thf(func_def_155,type,
    sP3: ( paraco1604210848lle_fm > $o ) > $o ).

thf(func_def_156,type,
    sP4: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > $o ).

thf(func_def_157,type,
    sK5: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_158,type,
    sK6: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_159,type,
    sK7: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_160,type,
    sK8: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_161,type,
    sK9: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_162,type,
    sK10: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_163,type,
    sK11: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_164,type,
    sK12: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_165,type,
    sK13: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_166,type,
    sK14: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_167,type,
    sK15: ( nat > nat ) > nat ).

thf(func_def_168,type,
    sK16: ( nat > nat ) > nat ).

thf(func_def_169,type,
    sK17: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_170,type,
    sK18: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_171,type,
    sK19: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_172,type,
    sK20: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_173,type,
    sK21: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_174,type,
    sK22: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_175,type,
    sK23: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_176,type,
    sK24: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_177,type,
    sK25: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_178,type,
    sK26: ( paraco1604210848lle_fm > $o ) > list_char ).

thf(func_def_179,type,
    sK27: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_180,type,
    sK28: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_181,type,
    sK29: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_182,type,
    sK30: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_183,type,
    sK31: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_184,type,
    sK32: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_185,type,
    sK33: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_186,type,
    sK34: paraco1604210848lle_fm > list_char ).

thf(func_def_187,type,
    sK35: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_188,type,
    sK36: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_189,type,
    sK37: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_190,type,
    sK38: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_191,type,
    sK39: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_192,type,
    sK40: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_193,type,
    sK41: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_194,type,
    sK42: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_195,type,
    sK43: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_196,type,
    sK44: paraco1604210848lle_fm > list_char ).

thf(func_def_197,type,
    sK45: produc596913417at_nat ).

thf(func_def_198,type,
    sK46: produc1443694919lle_tv ).

thf(func_def_199,type,
    sK47: produc696645085lle_fm ).

thf(func_def_200,type,
    sK48: produc931990033lle_tv ).

thf(func_def_201,type,
    sK49: produc194167194tv_nat ).

thf(func_def_202,type,
    sK50: produc270694976lle_tv ).

thf(func_def_203,type,
    sK51: product_prod_nat_nat ).

thf(func_def_204,type,
    sK52: nat ).

thf(func_def_205,type,
    sK53: paraco1605129243lle_tv ).

thf(func_def_206,type,
    sK54: set_Pr840833727at_nat > produc596913417at_nat ).

thf(func_def_207,type,
    sK55: set_Pr1723822845lle_tv > produc1443694919lle_tv ).

thf(func_def_208,type,
    sK56: set_Pr2120184979lle_fm > produc696645085lle_fm ).

thf(func_def_209,type,
    sK57: set_Pr560526279lle_tv > produc931990033lle_tv ).

thf(func_def_210,type,
    sK58: set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_211,type,
    sK59: set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_212,type,
    sK60: set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_213,type,
    sK61: set_nat > nat ).

thf(func_def_214,type,
    sK62: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_215,type,
    sK63: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_216,type,
    sK64: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_217,type,
    sK65: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_218,type,
    sK66: ( 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_219,type,
    sK67: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > set_nat > nat ).

thf(func_def_220,type,
    sK68: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_221,type,
    sK69: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_222,type,
    sK70: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_223,type,
    sK71: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_224,type,
    sK72: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_225,type,
    sK73: ( 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_226,type,
    sK74: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_227,type,
    sK75: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_228,type,
    sK76: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_229,type,
    sK77: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_230,type,
    sK78: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_231,type,
    sK79: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_232,type,
    sK80: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_233,type,
    sK81: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_234,type,
    sK82: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_235,type,
    sK83: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_236,type,
    sK84: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_237,type,
    sK85: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_238,type,
    sK86: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_239,type,
    sK87: ( nat > nat ) > set_nat > nat ).

thf(func_def_240,type,
    sK88: ( nat > nat ) > set_nat > nat ).

thf(func_def_241,type,
    sK89: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_242,type,
    sK90: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_243,type,
    sK91: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_244,type,
    sK92: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_245,type,
    sK93: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_246,type,
    sK94: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_247,type,
    sK95: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_248,type,
    sK96: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_249,type,
    sK97: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_250,type,
    sK98: ( paraco1604210848lle_fm > $o ) > list_char ).

thf(func_def_251,type,
    sK99: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_252,type,
    sK100: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_253,type,
    sK101: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_254,type,
    sK102: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_255,type,
    sK103: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_256,type,
    sK104: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_257,type,
    sK105: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_258,type,
    sK106: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_259,type,
    sK107: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_260,type,
    sK108: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_261,type,
    sK109: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_262,type,
    sK110: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_263,type,
    sK111: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_264,type,
    sK112: produc696645085lle_fm > list_char ).

thf(func_def_265,type,
    sK113: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > nat ).

thf(func_def_266,type,
    sK114: paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).

thf(func_def_267,type,
    sK115: ( paraco1605129243lle_tv > $o ) > nat ).

thf(func_def_268,type,
    sK116: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).

thf(func_def_269,type,
    sK117: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat ).

thf(func_def_270,type,
    sK118: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).

thf(func_def_271,type,
    sK119: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > $o ).

thf(func_def_272,type,
    sK120: paraco1605129243lle_tv > nat ).

thf(func_def_273,type,
    sK121: paraco1605129243lle_tv > nat ).

thf(func_def_274,type,
    sK122: paraco1605129243lle_tv > $o ).

thf(func_def_275,type,
    sK123: ( paraco1605129243lle_tv > $o ) > nat ).

thf(func_def_276,type,
    sK124: ( paraco1605129243lle_tv > $o ) > $o ).

thf(func_def_277,type,
    sK125: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_278,type,
    sK126: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_279,type,
    sK127: produc931990033lle_tv > nat > nat ).

thf(func_def_280,type,
    sK128: produc931990033lle_tv > paraco1605129243lle_tv ).

thf(func_def_281,type,
    sK129: produc931990033lle_tv > nat > nat ).

thf(func_def_282,type,
    sK130: produc931990033lle_tv > nat ).

thf(func_def_283,type,
    sK131: produc931990033lle_tv > nat > nat ).

thf(func_def_284,type,
    sK132: produc931990033lle_tv > $o ).

thf(func_def_285,type,
    sK133: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).

thf(func_def_286,type,
    sK134: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_287,type,
    sK135: ( produc931990033lle_tv > $o ) > nat > nat ).

thf(func_def_288,type,
    sK136: ( produc931990033lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_289,type,
    sK137: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_290,type,
    sK138: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_291,type,
    sK139: produc931990033lle_tv > nat > nat ).

thf(func_def_292,type,
    sK140: produc931990033lle_tv > paraco1605129243lle_tv ).

thf(func_def_293,type,
    sK141: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).

thf(func_def_294,type,
    sK142: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_295,type,
    sK143: ( produc931990033lle_tv > $o ) > nat > nat ).

thf(func_def_296,type,
    sK144: ( produc931990033lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_297,type,
    sK145: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > $o ).

thf(func_def_298,type,
    sK146: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > nat ).

thf(func_def_299,type,
    sK147: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_300,type,
    sK148: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_301,type,
    sK149: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_302,type,
    sK150: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_303,type,
    sK151: nat > ( nat > nat ) > nat ).

thf(func_def_304,type,
    sK152: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_305,type,
    sK153: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_306,type,
    sK154: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_307,type,
    sK155: nat > ( nat > nat ) > nat ).

thf(func_def_308,type,
    sK156: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_309,type,
    sK157: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_310,type,
    sK158: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_311,type,
    sK159: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_312,type,
    sK160: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_313,type,
    sK161: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > nat ).

thf(func_def_314,type,
    sK162: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_315,type,
    sK163: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_316,type,
    sK164: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1604210848lle_fm ).

thf(func_def_317,type,
    sK165: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > nat > nat ).

thf(func_def_318,type,
    sK166: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1605129243lle_tv ).

thf(func_def_319,type,
    sK167: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > produc931990033lle_tv > list_char > paraco1605129243lle_tv ).

thf(func_def_320,type,
    sK168: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > produc931990033lle_tv > paraco1604210848lle_fm ).

thf(func_def_321,type,
    sK169: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > nat > nat ).

thf(func_def_322,type,
    sK170: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > paraco1605129243lle_tv ).

thf(func_def_323,type,
    sK171: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_324,type,
    sK172: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > paraco1604210848lle_fm ).

thf(func_def_325,type,
    sK173: set_Pr560526279lle_tv > set_Pr560526279lle_tv > nat > nat ).

thf(func_def_326,type,
    sK174: set_Pr560526279lle_tv > set_Pr560526279lle_tv > paraco1605129243lle_tv ).

thf(func_def_327,type,
    sK175: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_328,type,
    sK176: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_329,type,
    sK177: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_330,type,
    sK178: ( nat > nat ) > set_nat > set_nat > set_nat ).

thf(func_def_331,type,
    sK179: set_nat > ( nat > nat ) > nat ).

thf(func_def_332,type,
    sK180: set_nat > ( nat > nat ) > nat ).

thf(func_def_333,type,
    sK181: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_334,type,
    sK182: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_335,type,
    sK183: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_336,type,
    sK184: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_337,type,
    sK185: ( nat > nat ) > nat ).

thf(func_def_338,type,
    sK186: ( nat > nat ) > nat ).

thf(func_def_339,type,
    sK187: ( nat > nat ) > nat ).

thf(func_def_340,type,
    sK188: ( nat > nat ) > nat ).

thf(func_def_341,type,
    sK189: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_342,type,
    sK190: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_343,type,
    sK191: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_344,type,
    sK192: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_345,type,
    sK193: set_nat > ( nat > nat ) > nat ).

thf(func_def_346,type,
    sK194: set_nat > ( nat > nat ) > nat ).

thf(func_def_347,type,
    sK195: set_nat > ( nat > nat ) > nat ).

thf(func_def_348,type,
    sK196: set_nat > ( nat > nat ) > nat ).

thf(func_def_349,type,
    sK197: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_350,type,
    sK198: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_351,type,
    sK199: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_352,type,
    sK200: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_353,type,
    sK201: set_nat > ( nat > nat ) > nat ).

thf(func_def_354,type,
    sK202: set_nat > ( nat > nat ) > nat ).

thf(func_def_355,type,
    sK203: set_nat > ( nat > nat ) > nat ).

thf(func_def_356,type,
    sK204: set_nat > ( nat > nat ) > nat ).

thf(func_def_357,type,
    sK205: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_358,type,
    sK206: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_359,type,
    sK207: set_nat > ( nat > nat ) > nat ).

thf(func_def_360,type,
    sK208: set_nat > ( nat > nat ) > nat ).

thf(func_def_361,type,
    sK209: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_362,type,
    sK210: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_363,type,
    sK211: set_nat > ( nat > nat ) > nat ).

thf(func_def_364,type,
    sK212: set_nat > ( nat > nat ) > nat ).

thf(func_def_365,type,
    sK213: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_366,type,
    sK214: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_367,type,
    sK215: set_nat > ( nat > nat ) > nat ).

thf(func_def_368,type,
    sK216: set_nat > ( nat > nat ) > nat ).

thf(func_def_369,type,
    sK217: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_370,type,
    sK218: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_371,type,
    sK219: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_372,type,
    sK220: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_373,type,
    sK221: ( nat > nat ) > nat ).

thf(func_def_374,type,
    sK222: ( nat > nat ) > nat ).

thf(func_def_375,type,
    sK223: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_376,type,
    sK224: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_377,type,
    sK225: set_nat > ( nat > nat ) > nat ).

thf(func_def_378,type,
    sK226: set_nat > ( nat > nat ) > nat ).

thf(func_def_379,type,
    sK227: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_380,type,
    sK228: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_381,type,
    sK229: set_nat > ( nat > nat ) > nat ).

thf(func_def_382,type,
    sK230: set_nat > ( nat > nat ) > nat ).

thf(func_def_383,type,
    sK231: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_384,type,
    sK232: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_385,type,
    sK233: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_386,type,
    sK234: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_387,type,
    sK235: ( nat > nat ) > nat ).

thf(func_def_388,type,
    sK236: ( nat > nat ) > nat ).

thf(func_def_389,type,
    sK237: ( nat > nat ) > nat ).

thf(func_def_390,type,
    sK238: ( nat > nat ) > nat ).

thf(func_def_391,type,
    sK239: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_392,type,
    sK240: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_393,type,
    sK241: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_394,type,
    sK242: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_395,type,
    sK243: ( nat > nat ) > nat ).

thf(func_def_396,type,
    sK244: ( nat > nat ) > nat ).

thf(func_def_397,type,
    sK245: ( nat > nat ) > nat ).

thf(func_def_398,type,
    sK246: ( nat > nat ) > nat ).

thf(func_def_399,type,
    sK247: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_400,type,
    sK248: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_401,type,
    sK249: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_402,type,
    sK250: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_403,type,
    sK251: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_404,type,
    sK252: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(func_def_405,type,
    sK253: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_406,type,
    sK254: nat > ( nat > nat ) > nat ).

thf(func_def_407,type,
    sK255: ( nat > nat ) > nat ).

thf(func_def_408,type,
    sK256: ( nat > nat ) > nat ).

thf(func_def_409,type,
    sK257: ( nat > nat ) > nat ).

thf(func_def_410,type,
    sK258: ( nat > nat ) > nat ).

thf(func_def_411,type,
    sK259: nat > ( nat > nat ) > nat > nat ).

thf(func_def_412,type,
    sK260: ( nat > nat ) > nat ).

thf(func_def_413,type,
    sK261: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_414,type,
    sK262: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_415,type,
    sK263: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).

thf(func_def_416,type,
    sK264: ( paraco1605129243lle_tv > nat ) > nat ).

thf(func_def_417,type,
    sK265: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_418,type,
    sK266: ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_419,type,
    sK267: nat > ( nat > nat ) > nat ).

thf(func_def_420,type,
    sK268: ( nat > nat ) > nat ).

thf(func_def_421,type,
    sK269: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_422,type,
    sK270: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_423,type,
    sK271: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_424,type,
    sK272: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_425,type,
    sK273: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_426,type,
    sK274: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_427,type,
    sK275: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_428,type,
    sK276: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_429,type,
    sK277: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_430,type,
    sK278: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_431,type,
    sK279: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_432,type,
    sK280: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_433,type,
    sK281: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_434,type,
    sK282: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_435,type,
    sK283: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_436,type,
    sK284: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_437,type,
    sK285: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_438,type,
    sK286: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_439,type,
    sK287: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_440,type,
    sK288: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_441,type,
    sK289: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_442,type,
    sK290: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_443,type,
    sK291: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_444,type,
    sK292: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_445,type,
    sK293: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_446,type,
    sK294: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_447,type,
    sK295: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_448,type,
    sK296: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_449,type,
    sK297: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_450,type,
    sK298: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_451,type,
    sK299: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_452,type,
    sK300: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_453,type,
    sK301: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_454,type,
    sK302: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_455,type,
    sK303: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_456,type,
    sK304: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_457,type,
    sK305: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_458,type,
    sK306: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_459,type,
    sK307: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_460,type,
    sK308: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_461,type,
    sK309: ( nat > nat ) > set_nat > nat ).

thf(func_def_462,type,
    sK310: set_nat > ( nat > nat ) > nat ).

thf(func_def_463,type,
    sK311: set_nat > ( nat > nat ) > nat ).

thf(func_def_464,type,
    sK312: ( nat > nat ) > set_nat > nat ).

thf(func_def_465,type,
    sK313: set_nat > ( nat > nat ) > nat ).

thf(func_def_466,type,
    sK314: set_nat > ( nat > nat ) > nat ).

thf(func_def_467,type,
    sK315: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_468,type,
    sK316: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_469,type,
    sK317: set_nat > ( nat > nat ) > nat ).

thf(func_def_470,type,
    sK318: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_471,type,
    sK319: ( nat > nat ) > set_nat > nat ).

thf(func_def_472,type,
    sK320: set_nat > ( nat > nat ) > nat ).

thf(func_def_473,type,
    sK321: set_nat > ( nat > nat ) > nat ).

thf(func_def_474,type,
    sK322: ( nat > nat ) > set_nat > nat ).

thf(func_def_475,type,
    sK323: set_nat > ( nat > nat ) > nat ).

thf(func_def_476,type,
    sK324: set_nat > ( nat > nat ) > nat ).

thf(func_def_477,type,
    sK325: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_478,type,
    sK326: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_479,type,
    sK327: set_nat > ( nat > nat ) > nat ).

thf(func_def_480,type,
    sK328: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_481,type,
    sK329: ( nat > nat ) > set_nat > nat ).

thf(func_def_482,type,
    sK330: set_nat > ( nat > nat ) > nat ).

thf(func_def_483,type,
    sK331: set_nat > ( nat > nat ) > nat ).

thf(func_def_484,type,
    sK332: ( nat > nat ) > set_nat > nat ).

thf(func_def_485,type,
    sK333: set_nat > ( nat > nat ) > nat ).

thf(func_def_486,type,
    sK334: ( nat > nat ) > set_nat > nat ).

thf(func_def_487,type,
    sK335: set_nat > ( nat > nat ) > nat ).

thf(func_def_488,type,
    sK336: set_nat > ( nat > nat ) > nat ).

thf(func_def_489,type,
    sK337: ( nat > nat ) > set_nat > nat ).

thf(func_def_490,type,
    sK338: set_nat > ( nat > nat ) > nat ).

thf(func_def_491,type,
    sK339: set_nat > ( nat > nat ) > nat ).

thf(func_def_492,type,
    sK340: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_493,type,
    sK341: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_494,type,
    sK342: set_nat > ( nat > nat ) > nat ).

thf(func_def_495,type,
    sK343: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_496,type,
    sK344: set_nat > ( nat > nat ) > nat ).

thf(func_def_497,type,
    sK345: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_498,type,
    sK346: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_499,type,
    sK347: set_nat > ( nat > nat ) > nat ).

thf(func_def_500,type,
    sK348: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_501,type,
    sK349: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_502,type,
    sK350: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_503,type,
    sK351: set_nat > ( nat > nat ) > nat ).

thf(func_def_504,type,
    sK352: set_nat > ( nat > nat ) > nat ).

thf(func_def_505,type,
    sK353: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_506,type,
    sK354: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_507,type,
    sK355: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_508,type,
    sK356: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_509,type,
    sK357: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_510,type,
    sK358: ( nat > nat ) > nat ).

thf(func_def_511,type,
    sK359: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_512,type,
    sK360: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_513,type,
    sK361: ( nat > nat ) > nat ).

thf(func_def_514,type,
    sK362: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_515,type,
    sK363: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_516,type,
    sK364: ( nat > nat ) > nat ).

thf(func_def_517,type,
    sK365: ( nat > nat ) > nat ).

thf(func_def_518,type,
    sK366: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_519,type,
    sK367: ( nat > nat ) > nat ).

thf(func_def_520,type,
    sK368: ( nat > nat ) > nat ).

thf(func_def_521,type,
    sK369: ( nat > nat ) > nat ).

thf(func_def_522,type,
    sK370: ( nat > nat ) > nat ).

thf(func_def_523,type,
    sK371: ( nat > nat ) > nat ).

thf(func_def_524,type,
    sK372: ( nat > nat ) > nat ).

thf(func_def_525,type,
    sK373: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_526,type,
    sK374: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_527,type,
    sK375: set_nat > ( nat > nat ) > nat ).

thf(func_def_528,type,
    sK376: set_nat > ( nat > nat ) > nat ).

thf(func_def_529,type,
    sK377: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_530,type,
    sK378: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_531,type,
    sK379: set_nat > ( nat > nat ) > nat ).

thf(func_def_532,type,
    sK380: set_nat > ( nat > nat ) > nat ).

thf(func_def_533,type,
    sK381: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_534,type,
    sK382: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_535,type,
    sK383: ( nat > nat ) > nat ).

thf(func_def_536,type,
    sK384: ( nat > nat ) > nat ).

thf(func_def_537,type,
    sK385: paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_538,type,
    sK386: paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_539,type,
    sK387: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_540,type,
    sK388: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_541,type,
    sK389: set_nat > ( nat > nat ) > nat ).

thf(func_def_542,type,
    sK390: set_nat > ( nat > nat ) > nat ).

thf(func_def_543,type,
    sK391: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_544,type,
    sK392: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_545,type,
    sK393: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_546,type,
    sK394: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_547,type,
    sK395: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_548,type,
    sK396: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_549,type,
    sK397: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_550,type,
    sK398: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_551,type,
    sK399: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_552,type,
    sK400: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_553,type,
    sK401: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_554,type,
    sK402: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_555,type,
    sK403: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_556,type,
    sK404: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_557,type,
    sK405: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_558,type,
    sK406: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_559,type,
    sK407: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_560,type,
    sK408: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_561,type,
    sK409: set_nat > ( nat > nat ) > nat ).

thf(func_def_562,type,
    sK410: set_nat > ( nat > nat ) > nat ).

thf(func_def_563,type,
    sK411: ( nat > nat ) > set_nat > nat ).

thf(func_def_564,type,
    sK412: ( nat > nat ) > set_nat > nat ).

thf(func_def_565,type,
    sK413: set_nat > ( nat > nat ) > nat ).

thf(func_def_566,type,
    sK414: set_nat > ( nat > nat ) > nat ).

thf(func_def_567,type,
    sK415: ( nat > nat ) > set_nat > nat ).

thf(func_def_568,type,
    sK416: ( nat > nat ) > set_nat > nat ).

thf(func_def_569,type,
    sK417: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_570,type,
    sK418: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_571,type,
    sK419: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_572,type,
    sK420: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_573,type,
    sK421: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_574,type,
    sK422: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_575,type,
    sK423: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_576,type,
    sK424: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).

thf(func_def_577,type,
    sK425: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_578,type,
    sK426: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_579,type,
    sK427: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_580,type,
    sK428: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_581,type,
    sK429: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_582,type,
    sK430: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_583,type,
    sK431: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_584,type,
    sK432: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).

thf(func_def_585,type,
    sK433: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_586,type,
    sK434: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_587,type,
    sK435: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_588,type,
    sK436: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_589,type,
    sK437: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_590,type,
    sK438: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_591,type,
    sK439: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_592,type,
    sK440: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).

thf(func_def_593,type,
    sK441: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_594,type,
    sK442: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_595,type,
    sK443: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_596,type,
    sK444: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_597,type,
    sK445: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_598,type,
    sK446: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_599,type,
    sK447: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_600,type,
    sK448: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).

thf(func_def_601,type,
    sK449: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_602,type,
    sK450: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_603,type,
    sK451: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_604,type,
    sK452: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_605,type,
    sK453: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_606,type,
    sK454: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_607,type,
    sK455: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_608,type,
    sK456: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).

thf(func_def_609,type,
    sK457: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_610,type,
    sK458: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_611,type,
    sK459: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_612,type,
    sK460: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_613,type,
    sK461: set_nat > ( nat > nat ) > nat ).

thf(func_def_614,type,
    sK462: set_nat > ( nat > nat ) > nat ).

thf(func_def_615,type,
    sK463: set_nat > ( nat > nat ) > nat ).

thf(func_def_616,type,
    sK464: set_nat > ( nat > nat ) > nat ).

thf(func_def_617,type,
    sK465: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_618,type,
    sK466: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_619,type,
    sK467: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_620,type,
    sK468: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_621,type,
    sK469: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_622,type,
    sK470: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_623,type,
    sK471: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_624,type,
    sK472: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_625,type,
    sK473: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_626,type,
    sK474: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_627,type,
    sK475: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_628,type,
    sK476: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_629,type,
    sK477: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_630,type,
    sK478: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_631,type,
    sK479: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_632,type,
    sK480: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_633,type,
    sK481: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_634,type,
    sK482: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_635,type,
    sK483: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_636,type,
    sK484: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_637,type,
    sK485: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_638,type,
    sK486: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_639,type,
    sK487: set_nat > ( nat > nat ) > nat ).

thf(func_def_640,type,
    sK488: set_nat > ( nat > nat ) > nat ).

thf(func_def_641,type,
    sK489: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_642,type,
    sK490: set_nat > ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_643,type,
    sK491: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_644,type,
    sK492: set_Pr1986765409at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_645,type,
    sK493: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_646,type,
    sK494: set_Pr13445366lle_tv > ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_647,type,
    sK495: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_648,type,
    sK496: set_Pr1725653840tv_nat > ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_649,type,
    sK497: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_650,type,
    sK498: set_Pr2014382200lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_651,type,
    sK499: ( nat > nat ) > nat ).

thf(func_def_652,type,
    sK500: ( nat > nat ) > nat ).

thf(func_def_653,type,
    sK501: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_654,type,
    sK502: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_655,type,
    sK503: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_656,type,
    sK504: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_657,type,
    sK505: ( nat > nat ) > nat ).

thf(func_def_658,type,
    sK506: ( nat > nat ) > nat ).

thf(func_def_659,type,
    sK507: ( nat > nat ) > nat ).

thf(func_def_660,type,
    sK508: ( nat > nat ) > nat ).

thf(func_def_661,type,
    sK509: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_662,type,
    sK510: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_663,type,
    sK511: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_664,type,
    sK512: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_665,type,
    sK513: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_666,type,
    sK514: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_667,type,
    sK515: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_668,type,
    sK516: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_669,type,
    sK517: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_670,type,
    sK518: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_671,type,
    sK519: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_672,type,
    sK520: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_673,type,
    sK521: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_674,type,
    sK522: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_675,type,
    sK523: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_676,type,
    sK524: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_677,type,
    sK525: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_678,type,
    sK526: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_679,type,
    sK527: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_680,type,
    sK528: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_681,type,
    sK529: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_682,type,
    sK530: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_683,type,
    sK531: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_684,type,
    sK532: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_685,type,
    sK533: ( nat > nat ) > nat ).

thf(func_def_686,type,
    sK534: ( nat > nat ) > nat ).

thf(func_def_687,type,
    sK535: ( nat > nat ) > nat ).

thf(func_def_688,type,
    sK536: ( nat > nat ) > nat ).

thf(func_def_689,type,
    sK537: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_690,type,
    sK538: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_691,type,
    sK539: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_692,type,
    sK540: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_693,type,
    sK541: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_694,type,
    sK542: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_695,type,
    sK543: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_696,type,
    sK544: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_697,type,
    sK545: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_698,type,
    sK546: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_699,type,
    sK547: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_700,type,
    sK548: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_701,type,
    sK549: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_702,type,
    sK550: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_703,type,
    sK551: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_704,type,
    sK552: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_705,type,
    sK553: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_706,type,
    sK554: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_707,type,
    sK555: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_708,type,
    sK556: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_709,type,
    sK557: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_710,type,
    sK558: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_711,type,
    sK559: ( nat > nat ) > nat ).

thf(func_def_712,type,
    sK560: ( nat > nat ) > nat ).

thf(func_def_713,type,
    sK561: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_714,type,
    sK562: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_715,type,
    sK563: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_716,type,
    sK564: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).

thf(func_def_717,type,
    sK565: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_718,type,
    sK566: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).

thf(func_def_719,type,
    sK567: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_720,type,
    sK568: ( nat > paraco1605129243lle_tv ) > nat ).

thf(func_def_721,type,
    sK569: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_722,type,
    sK570: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).

thf(func_def_723,type,
    sK571: paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_724,type,
    sK572: paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_725,type,
    sK573: paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(func_def_726,type,
    sK574: paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(f1,axiom,
    ( ( paraco1325918602e_eval @ i @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_a) ).

thf(f2,axiom,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062) ).

thf(f3,axiom,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
    = ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_ih2) ).

thf(f8,axiom,
    ( paraco761681009ge_int
    = ( ^ [X0: nat > nat,X1: list_char > paraco1605129243lle_tv,X2: list_char] : ( paraco1147068288nge_tv @ X0 @ ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_change__int__def) ).

thf(f359,conjecture,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f360,negated_conjecture,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
   != ( paraco1344940915le_Det @ $true ) ),
    inference(negated_conjecture,[status(cth)],[f359]) ).

thf(f361,plain,
    ( ( paraco1325918602e_eval @ i @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    inference(rectify,[],[f1]) ).

thf(f362,plain,
    ( ( paraco1325918602e_eval @ i @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    inference(fool_elimination,[],[f361]) ).

thf(f363,plain,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1344940915le_Det @ $true ) ),
    inference(rectify,[],[f2]) ).

thf(f364,plain,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1344940915le_Det @ $true ) ),
    inference(fool_elimination,[],[f363]) ).

thf(f368,plain,
    ( paraco761681009ge_int
    = ( ^ [Y0: nat > nat,Y1: list_char > paraco1605129243lle_tv,Y2: list_char] : ( paraco1147068288nge_tv @ Y0 @ ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f834,plain,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
   != ( paraco1344940915le_Det @ $true ) ),
    inference(rectify,[],[f360]) ).

thf(f835,plain,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
   != ( paraco1344940915le_Det @ $true ) ),
    inference(fool_elimination,[],[f834]) ).

thf(f845,plain,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
   != ( paraco1344940915le_Det @ $true ) ),
    inference(flattening,[],[f835]) ).

thf(f1251,plain,
    ( ( paraco1325918602e_eval @ i @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    inference(cnf_transformation,[],[f362]) ).

thf(f1252,plain,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1344940915le_Det @ $true ) ),
    inference(cnf_transformation,[],[f364]) ).

thf(f1253,plain,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 ) ),
    inference(cnf_transformation,[],[f3]) ).

thf(f1258,plain,
    ( paraco761681009ge_int
    = ( ^ [Y0: nat > nat,Y1: list_char > paraco1605129243lle_tv,Y2: list_char] : ( paraco1147068288nge_tv @ Y0 @ ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f368]) ).

thf(f1706,plain,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
   != ( paraco1344940915le_Det @ $true ) ),
    inference(cnf_transformation,[],[f845]) ).

thf(f1709,plain,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1325918602e_eval
      @ ( ^ [Y0: nat > nat,Y1: list_char > paraco1605129243lle_tv,Y2: list_char] : ( paraco1147068288nge_tv @ Y0 @ ( Y1 @ Y2 ) )
        @ f
        @ i )
      @ p2 ) ),
    inference(definition_unfolding,[],[f1253,f1258]) ).

thf(f1890,plain,
    ( ( paraco1344940915le_Det @ $true )
   != ( paraco1325918602e_eval
      @ ( ^ [Y0: nat > nat,Y1: list_char > paraco1605129243lle_tv,Y2: list_char] : ( paraco1147068288nge_tv @ Y0 @ ( Y1 @ Y2 ) )
        @ f
        @ i )
      @ p2 ) ),
    inference(definition_unfolding,[],[f1706,f1258]) ).

thf(f1908,plain,
    ( ( paraco1344940915le_Det @ $true )
   != ( paraco1325918602e_eval
      @ ^ [Y0: list_char] : ( paraco1147068288nge_tv @ f @ ( i @ Y0 ) )
      @ p2 ) ),
    inference(beta-eta_normalization,[],[f1890]) ).

thf(f8248,plain,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1325918602e_eval
      @ ^ [Y0: list_char] : ( paraco1147068288nge_tv @ f @ ( i @ Y0 ) )
      @ p2 ) ),
    inference(beta-eta_normalization,[],[f1709]) ).

thf(f8300,plain,
    ( ( paraco1344940915le_Det @ $true )
    = ( paraco1147068288nge_tv @ f @ ( paraco1344940915le_Det @ $true ) ) ),
    inference(forward_demodulation,[],[f1252,f1251]) ).

thf(f8314,plain,
    ( ( paraco1325918602e_eval
      @ ^ [Y0: list_char] : ( paraco1147068288nge_tv @ f @ ( i @ Y0 ) )
      @ p2 )
    = ( paraco1147068288nge_tv @ f @ ( paraco1344940915le_Det @ $true ) ) ),
    inference(forward_demodulation,[],[f8248,f1251]) ).

thf(f8315,plain,
    ( ( paraco1344940915le_Det @ $true )
    = ( paraco1325918602e_eval
      @ ^ [Y0: list_char] : ( paraco1147068288nge_tv @ f @ ( i @ Y0 ) )
      @ p2 ) ),
    inference(forward_demodulation,[],[f8314,f8300]) ).

thf(f8316,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f8315,f1908]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP135^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n002.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 20:01:38 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  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
% 1.49/0.51  % (1776168)Will run a generic schedule for satisfiability detection.
% 1.49/0.51  % (1776178)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2993345088:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.51  % (1776174)% WARNING: option uhcvi not known.
% 1.49/0.51  % (1776174)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2318410841:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.49/0.51  % (1776173)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3620534551_2999 on theBenchmark for (2999ds/0Mi)
% 1.49/0.51  % (1776175)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4201719289:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.49/0.51  % (1776176)dis+10_1_sil=32000:sp=arity:random_seed=2475904831:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.49/0.51  % (1776177)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1217394916:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.49/0.51  % (1776179)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=717608841:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.49/0.51  % (1776174)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51  % (1776177)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51  % (1776178)Instruction limit reached! 
% 1.49/0.51  % (1776178)------------------------------
% 1.49/0.51  % (1776178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776178)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776178)Termination reason: Instruction limit
% 1.49/0.51  % (1776178)Termination phase: Saturation
% 1.49/0.51  % (1776178)Time elapsed: 0.031 s
% 1.49/0.51  % (1776178)Peak memory usage: 13 MB
% 1.49/0.51  % (1776178)Instructions burned: 133 (million)
% 1.49/0.51  % (1776187)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=521061317:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.49/0.51  % (1776176)Instruction limit reached! 
% 1.49/0.51  % (1776176)------------------------------
% 1.49/0.51  % (1776176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776176)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776176)Termination reason: Instruction limit
% 1.49/0.51  % (1776176)Termination phase: Property scanning
% 1.49/0.51  % (1776176)Time elapsed: 0.045 s
% 1.49/0.51  % (1776176)Peak memory usage: 11 MB
% 1.49/0.51  % (1776176)Instructions burned: 104 (million)
% 1.49/0.51  % (1776174)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.49/0.51  % (1776177)Instruction limit reached! 
% 1.49/0.51  % (1776177)------------------------------
% 1.49/0.51  % (1776177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776177)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776177)Termination reason: Instruction limit
% 1.49/0.51  % (1776177)Termination phase: Saturation
% 1.49/0.51  % (1776177)Time elapsed: 0.050 s
% 1.49/0.51  % (1776177)Peak memory usage: 12 MB
% 1.49/0.51  % (1776177)Instructions burned: 117 (million)
% 1.49/0.51  % Exception at run slice level
% 1.49/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51  % (1776189)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1422210034:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.49/0.51  % (1776179)Instruction limit reached! 
% 1.49/0.51  % (1776179)------------------------------
% 1.49/0.51  % (1776179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776179)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776179)Termination reason: Instruction limit
% 1.49/0.51  % (1776179)Termination phase: Saturation
% 1.49/0.51  % (1776179)Time elapsed: 0.068 s
% 1.49/0.51  % (1776179)Peak memory usage: 14 MB
% 1.49/0.51  % (1776179)Instructions burned: 160 (million)
% 1.49/0.51  % (1776190)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=2726049639:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.49/0.51  % Exception at run slice level
% 1.49/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51  % (1776191)ott-21_1_sil=16000:fs=off:random_seed=4221154367:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.49/0.51  % (1776193)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1713084859:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.49/0.51  % (1776190)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51  % (1776195)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=784917574:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.49/0.51  % (1776190)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.49/0.51  % (1776189)Instruction limit reached! 
% 1.49/0.51  % (1776189)------------------------------
% 1.49/0.51  % (1776189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776189)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776189)Termination reason: Instruction limit
% 1.49/0.51  % (1776189)Termination phase: Saturation
% 1.49/0.51  % (1776189)Time elapsed: 0.057 s
% 1.49/0.51  % (1776189)Peak memory usage: 13 MB
% 1.49/0.51  % (1776189)Instructions burned: 133 (million)
% 1.49/0.51  % (1776191)Instruction limit reached! 
% 1.49/0.51  % (1776191)------------------------------
% 1.49/0.51  % (1776191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776191)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776191)Termination reason: Instruction limit
% 1.49/0.51  % (1776191)Termination phase: Saturation
% 1.49/0.51  % (1776191)Time elapsed: 0.046 s
% 1.49/0.51  % (1776191)Peak memory usage: 14 MB
% 1.49/0.51  % (1776191)Instructions burned: 183 (million)
% 1.49/0.51  % (1776200)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4131267969:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.49/0.51  % (1776199)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3558614085:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.49/0.51  % Exception at run slice level
% 1.49/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51  % Exception at run slice level
% 1.49/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51  % (1776203)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3022184616:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.49/0.51  % (1776209)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2547639431:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.49/0.51  % (1776209)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51  % (1776203)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51  % (1776190) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1776168-1776190"...
% 1.49/0.51  % (1776190)...printing done.
% 1.49/0.51  % (1776190)Refutation found. Thanks to Tanya!
% 1.49/0.51  % SZS status Theorem for theBenchmark
% 1.49/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.51  % (1776190)------------------------------
% 1.49/0.51  % (1776190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51  % (1776190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51  % (1776190)CaDiCaL version: 2.1.3
% 1.49/0.51  % (1776190)Termination reason: Refutation
% 1.49/0.51  % (1776190)Time elapsed: 0.127 s
% 1.49/0.51  % (1776190)Peak memory usage: 16 MB
% 1.49/0.51  % (1776190)Instructions burned: 286 (million)
% 1.49/0.51  % (1776168)Success in time 0.263 s
% 1.49/0.51  % Vampire exiting
%------------------------------------------------------------------------------