↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP272^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:09:43 AM UTC 2026

% Result   : Theorem 28.88s 8.61s
% Output   : Refutation 28.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  17 unt;   0 typ;   2 def)
%            Number of atoms       :   76 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  732 (  15   ~;   8   |;   0   &; 704   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   88 (  87 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 4462 (4459 usr;  63 con; 0-8 aty)
%            Number of variables   :   15 (   0 sgn  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc5542196010084753463at_nat: $tType ).

thf(type_def_6,type,
    produc5491161045314408544at_nat: $tType ).

thf(type_def_7,type,
    produc1193250871479095198on_num: $tType ).

thf(type_def_8,type,
    produc8306885398267862888on_nat: $tType ).

thf(type_def_9,type,
    produc6121120109295599847at_nat: $tType ).

thf(type_def_10,type,
    produc3368934014287244435at_num: $tType ).

thf(type_def_11,type,
    produc4471711990508489141at_nat: $tType ).

thf(type_def_12,type,
    produc7036089656553540234on_num: $tType ).

thf(type_def_13,type,
    produc2233624965454879586on_nat: $tType ).

thf(type_def_14,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_15,type,
    produc3447558737645232053on_num: $tType ).

thf(type_def_16,type,
    produc4953844613479565601on_nat: $tType ).

thf(type_def_17,type,
    produc2963631642982155120at_num: $tType ).

thf(type_def_18,type,
    produc7248412053542808358at_nat: $tType ).

thf(type_def_19,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_20,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_21,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(type_def_22,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_23,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_24,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_25,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_26,type,
    list_P8526636022914148096eger_o: $tType ).

thf(type_def_27,type,
    set_Pr448751882837621926eger_o: $tType ).

thf(type_def_28,type,
    option4927543243414619207at_nat: $tType ).

thf(type_def_29,type,
    list_P3744719386663036955um_num: $tType ).

thf(type_def_30,type,
    list_P6011104703257516679at_nat: $tType ).

thf(type_def_31,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_32,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_33,type,
    set_Pr8218934625190621173um_num: $tType ).

thf(type_def_34,type,
    set_Pr6200539531224447659at_num: $tType ).

thf(type_def_35,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_36,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(type_def_37,type,
    list_P7333126701944960589_nat_o: $tType ).

thf(type_def_38,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(type_def_39,type,
    list_P3795440434834930179_o_int: $tType ).

thf(type_def_40,type,
    set_list_VEBT_VEBT: $tType ).

thf(type_def_41,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_42,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(type_def_43,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_44,type,
    product_prod_num_num: $tType ).

thf(type_def_45,type,
    product_prod_nat_num: $tType ).

thf(type_def_46,type,
    product_prod_nat_nat: $tType ).

thf(type_def_47,type,
    product_prod_int_int: $tType ).

thf(type_def_48,type,
    list_P4002435161011370285od_o_o: $tType ).

thf(type_def_49,type,
    set_list_complex: $tType ).

thf(type_def_50,type,
    set_set_complex: $tType ).

thf(type_def_51,type,
    list_VEBT_VEBT: $tType ).

thf(type_def_52,type,
    set_list_nat: $tType ).

thf(type_def_53,type,
    set_list_int: $tType ).

thf(type_def_54,type,
    product_prod_o_nat: $tType ).

thf(type_def_55,type,
    product_prod_o_int: $tType ).

thf(type_def_56,type,
    list_Code_integer: $tType ).

thf(type_def_57,type,
    set_VEBT_VEBT: $tType ).

thf(type_def_58,type,
    set_set_nat: $tType ).

thf(type_def_59,type,
    set_set_int: $tType ).

thf(type_def_60,type,
    set_Code_integer: $tType ).

thf(type_def_61,type,
    set_Product_unit: $tType ).

thf(type_def_62,type,
    list_complex: $tType ).

thf(type_def_63,type,
    set_list_o: $tType ).

thf(type_def_64,type,
    product_prod_o_o: $tType ).

thf(type_def_65,type,
    set_complex: $tType ).

thf(type_def_66,type,
    filter_real: $tType ).

thf(type_def_67,type,
    option_num: $tType ).

thf(type_def_68,type,
    option_nat: $tType ).

thf(type_def_69,type,
    filter_nat: $tType ).

thf(type_def_70,type,
    set_char: $tType ).

thf(type_def_71,type,
    list_real: $tType ).

thf(type_def_72,type,
    set_real: $tType ).

thf(type_def_73,type,
    list_num: $tType ).

thf(type_def_74,type,
    list_nat: $tType ).

thf(type_def_75,type,
    list_int: $tType ).

thf(type_def_76,type,
    vEBT_VEBT: $tType ).

thf(type_def_77,type,
    set_rat: $tType ).

thf(type_def_78,type,
    set_num: $tType ).

thf(type_def_79,type,
    set_nat: $tType ).

thf(type_def_80,type,
    set_int: $tType ).

thf(type_def_81,type,
    code_integer: $tType ).

thf(type_def_82,type,
    extended_enat: $tType ).

thf(type_def_83,type,
    list_o: $tType ).

thf(type_def_84,type,
    complex: $tType ).

thf(type_def_85,type,
    set_o: $tType ).

thf(type_def_86,type,
    char: $tType ).

thf(type_def_87,type,
    real: $tType ).

thf(type_def_88,type,
    rat: $tType ).

thf(type_def_89,type,
    num: $tType ).

thf(type_def_90,type,
    nat: $tType ).

thf(type_def_91,type,
    int: $tType ).

thf(type_def_92,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    archim2889992004027027881ng_rat: rat > int ).

thf(func_def_1,type,
    archim7802044766580827645g_real: real > int ).

thf(func_def_2,type,
    archim3151403230148437115or_rat: rat > int ).

thf(func_def_3,type,
    archim6058952711729229775r_real: real > int ).

thf(func_def_4,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(func_def_5,type,
    archim8280529875227126926d_real: real > int ).

thf(func_def_6,type,
    binomial: nat > nat > nat ).

thf(func_def_7,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_8,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_9,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_10,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_11,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_12,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_13,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_14,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_15,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_16,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_17,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_18,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_19,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_20,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_21,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_22,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_23,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_24,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_25,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_26,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_27,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_28,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_29,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_30,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_31,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_32,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_33,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_34,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_35,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_36,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_37,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_38,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_39,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_40,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_41,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_42,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_43,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_44,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_45,type,
    bit_un1837492267222099188nd_num: num > num > option_num ).

thf(func_def_46,type,
    bit_un5425074673868309765um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_47,type,
    bit_un6178654185764691216or_num: num > num > option_num ).

thf(func_def_48,type,
    bit_un3595099601533988841um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_49,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_50,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_51,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_52,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_53,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_54,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_55,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_56,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_57,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_58,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_59,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_60,type,
    code_negative: num > code_integer ).

thf(func_def_61,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_62,type,
    code_positive: num > code_integer ).

thf(func_def_63,type,
    code_Target_negative: num > int ).

thf(func_def_64,type,
    code_Target_positive: num > int ).

thf(func_def_65,type,
    comple4887499456419720421f_real: set_real > real ).

thf(func_def_66,type,
    complete_Sup_Sup_int: set_int > int ).

thf(func_def_67,type,
    comple1385675409528146559p_real: set_real > real ).

thf(func_def_68,type,
    arg: complex > real ).

thf(func_def_69,type,
    cis: real > complex ).

thf(func_def_70,type,
    cnj: complex > complex ).

thf(func_def_71,type,
    complex2: real > real > complex ).

thf(func_def_72,type,
    im: complex > real ).

thf(func_def_73,type,
    re: complex > real ).

thf(func_def_74,type,
    csqrt: complex > complex ).

thf(func_def_75,type,
    imaginary_unit: complex ).

thf(func_def_76,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(func_def_77,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(func_def_78,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_79,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_80,type,
    adjust_mod: int > int > int ).

thf(func_def_81,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_82,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_83,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_84,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_85,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_86,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_87,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_88,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_89,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_90,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_91,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_92,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_93,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_94,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_95,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_96,type,
    inverse_inverse_real: real > real ).

thf(func_def_97,type,
    at_bot_real: filter_real ).

thf(func_def_98,type,
    at_top_nat: filter_nat ).

thf(func_def_99,type,
    at_top_real: filter_real ).

thf(func_def_100,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_101,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_102,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_103,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_104,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_105,type,
    finite_card_o: set_o > nat ).

thf(func_def_106,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_107,type,
    finite_card_int: set_int > nat ).

thf(func_def_108,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_109,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_110,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_111,type,
    finite_card_char: set_char > nat ).

thf(func_def_112,type,
    finite_finite_o: set_o > $o ).

thf(func_def_113,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_114,type,
    finite_finite_int: set_int > $o ).

thf(func_def_115,type,
    finite_finite_list_o: set_list_o > $o ).

thf(func_def_116,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(func_def_117,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(func_def_118,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_119,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(func_def_120,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_121,type,
    finite_finite_num: set_num > $o ).

thf(func_def_122,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_123,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_124,type,
    finite_finite_real: set_real > $o ).

thf(func_def_125,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

thf(func_def_126,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(func_def_127,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_128,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

thf(func_def_129,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_130,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(func_def_131,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_132,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_133,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_134,type,
    comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).

thf(func_def_135,type,
    comp_int_int_num: ( int > int ) > ( num > int ) > num > int ).

thf(func_def_136,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

thf(func_def_137,type,
    comp_nat_real_nat: ( nat > real ) > ( nat > nat ) > nat > real ).

thf(func_def_138,type,
    id_o: $o > $o ).

thf(func_def_139,type,
    id_nat: nat > nat ).

thf(func_def_140,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_141,type,
    inj_on_nat_char: ( nat > char ) > set_nat > $o ).

thf(func_def_142,type,
    inj_on_real_real: ( real > real ) > set_real > $o ).

thf(func_def_143,type,
    map_fu434086159418415080_int_o: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).

thf(func_def_144,type,
    map_fu4960017516451851995nt_int: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > int > int > int ).

thf(func_def_145,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_146,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_147,type,
    map_fu3667384564859982768at_int: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ).

thf(func_def_148,type,
    map_fu4333342158222067775at_rat: ( rat > product_prod_int_int ) > ( ( product_prod_int_int > product_prod_int_int ) > rat > rat ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > rat > rat > rat ).

thf(func_def_149,type,
    map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).

thf(func_def_150,type,
    map_fu5673905371560938248nt_rat: ( rat > product_prod_int_int ) > ( product_prod_int_int > rat ) > ( product_prod_int_int > product_prod_int_int ) > rat > rat ).

thf(func_def_151,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_152,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(func_def_153,type,
    gcd_Gcd_int: set_int > int ).

thf(func_def_154,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_155,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_156,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_157,type,
    gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_158,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_159,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_160,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_161,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_162,type,
    abs_abs_complex: complex > complex ).

thf(func_def_163,type,
    abs_abs_int: int > int ).

thf(func_def_164,type,
    abs_abs_rat: rat > rat ).

thf(func_def_165,type,
    abs_abs_real: real > real ).

thf(func_def_166,type,
    minus_8727706125548526216plex_o: ( complex > $o ) > ( complex > $o ) > complex > $o ).

thf(func_def_167,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_168,type,
    minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).

thf(func_def_169,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_170,type,
    minus_2270307095948843157_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_171,type,
    minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).

thf(func_def_172,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_173,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_174,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_175,type,
    minus_minus_int: int > int > int ).

thf(func_def_176,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_177,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_178,type,
    minus_minus_real: real > real > real ).

thf(func_def_179,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_180,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_181,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_182,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_183,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_184,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_185,type,
    minus_5127226145743854075T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_186,type,
    one_one_Code_integer: code_integer ).

thf(func_def_187,type,
    one_one_complex: complex ).

thf(func_def_188,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_189,type,
    one_one_int: int ).

thf(func_def_190,type,
    one_one_nat: nat ).

thf(func_def_191,type,
    one_one_rat: rat ).

thf(func_def_192,type,
    one_one_real: real ).

thf(func_def_193,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_194,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_195,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_196,type,
    plus_plus_int: int > int > int ).

thf(func_def_197,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_198,type,
    plus_plus_num: num > num > num ).

thf(func_def_199,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_200,type,
    plus_plus_real: real > real > real ).

thf(func_def_201,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_202,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_203,type,
    sgn_sgn_int: int > int ).

thf(func_def_204,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_205,type,
    sgn_sgn_real: real > real ).

thf(func_def_206,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_207,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_208,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_209,type,
    times_times_int: int > int > int ).

thf(func_def_210,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_211,type,
    times_times_num: num > num > num ).

thf(func_def_212,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_213,type,
    times_times_real: real > real > real ).

thf(func_def_214,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_215,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_216,type,
    uminus_uminus_int: int > int ).

thf(func_def_217,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_218,type,
    uminus_uminus_real: real > real ).

thf(func_def_219,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

thf(func_def_220,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_221,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_222,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_223,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_224,type,
    uminus8041839845116263051T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_225,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_226,type,
    zero_zero_complex: complex ).

thf(func_def_227,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_228,type,
    zero_zero_int: int ).

thf(func_def_229,type,
    zero_zero_nat: nat ).

thf(func_def_230,type,
    zero_zero_rat: rat ).

thf(func_def_231,type,
    zero_zero_real: real ).

thf(func_def_232,type,
    groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_233,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_234,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_235,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_236,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_237,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_238,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_239,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_240,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_241,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_242,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_243,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_244,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_245,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_246,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_247,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_248,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_249,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_250,type,
    groups6381953495645901045omplex: ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > complex ).

thf(func_def_251,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_252,type,
    groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).

thf(func_def_253,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_254,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_255,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_256,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_257,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_258,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_259,type,
    groups1794756597179926696omplex: ( vEBT_VEBT > complex ) > set_VEBT_VEBT > complex ).

thf(func_def_260,type,
    groups769130701875090982BT_int: ( vEBT_VEBT > int ) > set_VEBT_VEBT > int ).

thf(func_def_261,type,
    groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).

thf(func_def_262,type,
    groups136491112297645522BT_rat: ( vEBT_VEBT > rat ) > set_VEBT_VEBT > rat ).

thf(func_def_263,type,
    groups2240296850493347238T_real: ( vEBT_VEBT > real ) > set_VEBT_VEBT > real ).

thf(func_def_264,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_265,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_266,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_267,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_268,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_269,type,
    the_int: ( int > $o ) > int ).

thf(func_def_270,type,
    the_real: ( real > $o ) > real ).

thf(func_def_271,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_272,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_273,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_274,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_275,type,
    if_int: $o > int > int > int ).

thf(func_def_276,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_277,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_278,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_279,type,
    if_num: $o > num > num > num ).

thf(func_def_280,type,
    if_option_nat: $o > option_nat > option_nat > option_nat ).

thf(func_def_281,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_282,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_283,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_284,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_285,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_286,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_287,type,
    if_real: $o > real > real > real ).

thf(func_def_288,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_289,type,
    if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_290,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_291,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_292,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_293,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_294,type,
    nat2: int > nat ).

thf(func_def_295,type,
    power_int_real: real > int > real ).

thf(func_def_296,type,
    ring_1_Ints_real: set_real ).

thf(func_def_297,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_298,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_299,type,
    ring_1_of_int_int: int > int ).

thf(func_def_300,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_301,type,
    ring_1_of_int_real: int > real ).

thf(func_def_302,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_303,type,
    sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_304,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_305,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_306,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_307,type,
    bfun_nat_real: ( nat > real ) > filter_nat > $o ).

thf(func_def_308,type,
    at_infinity_real: filter_real ).

thf(func_def_309,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_310,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_311,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_312,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_313,type,
    cons_int: int > list_int > list_int ).

thf(func_def_314,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_315,type,
    nil_int: list_int ).

thf(func_def_316,type,
    nil_nat: list_nat ).

thf(func_def_317,type,
    hd_nat: list_nat > nat ).

thf(func_def_318,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_319,type,
    set_o2: list_o > set_o ).

thf(func_def_320,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_321,type,
    set_int2: list_int > set_int ).

thf(func_def_322,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_323,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_324,type,
    set_real2: list_real > set_real ).

thf(func_def_325,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_326,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_327,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_328,type,
    list_update_complex: list_complex > nat > complex > list_complex ).

thf(func_def_329,type,
    list_update_int: list_int > nat > int > list_int ).

thf(func_def_330,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(func_def_331,type,
    list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_332,type,
    list_update_real: list_real > nat > real > list_real ).

thf(func_def_333,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_334,type,
    nth_o: list_o > nat > $o ).

thf(func_def_335,type,
    nth_Code_integer: list_Code_integer > nat > code_integer ).

thf(func_def_336,type,
    nth_complex: list_complex > nat > complex ).

thf(func_def_337,type,
    nth_int: list_int > nat > int ).

thf(func_def_338,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_339,type,
    nth_num: list_num > nat > num ).

thf(func_def_340,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_341,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_342,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_343,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_344,type,
    nth_Pr8522763379788166057eger_o: list_P8526636022914148096eger_o > nat > produc6271795597528267376eger_o ).

thf(func_def_345,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_346,type,
    nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num ).

thf(func_def_347,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_348,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_349,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_350,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_351,type,
    nth_real: list_real > nat > real ).

thf(func_def_352,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_353,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_354,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_355,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_356,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_357,type,
    produc3607205314601156340eger_o: list_Code_integer > list_o > list_P8526636022914148096eger_o ).

thf(func_def_358,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_359,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_360,type,
    product_num_num: list_num > list_num > list_P3744719386663036955um_num ).

thf(func_def_361,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_362,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_363,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_364,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_365,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_366,type,
    replicate_complex: nat > complex > list_complex ).

thf(func_def_367,type,
    replicate_int: nat > int > list_int ).

thf(func_def_368,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_369,type,
    replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_370,type,
    replicate_real: nat > real > list_real ).

thf(func_def_371,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_372,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(func_def_373,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_374,type,
    take_nat: nat > list_nat > list_nat ).

thf(func_def_375,type,
    upt: nat > nat > list_nat ).

thf(func_def_376,type,
    upto: int > int > list_int ).

thf(func_def_377,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_378,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_379,type,
    suc: nat > nat ).

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

thf(func_def_381,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_382,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_383,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

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

thf(func_def_385,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_386,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_387,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_388,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_389,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_390,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_391,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_392,type,
    size_size_list_o: list_o > nat ).

thf(func_def_393,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

thf(func_def_394,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_395,type,
    size_size_list_int: list_int > nat ).

thf(func_def_396,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_397,type,
    size_size_list_num: list_num > nat ).

thf(func_def_398,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(func_def_399,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(func_def_400,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(func_def_401,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(func_def_402,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(func_def_403,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_404,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_405,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(func_def_406,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_407,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_408,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_409,type,
    size_size_list_real: list_real > nat ).

thf(func_def_410,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_411,type,
    size_size_num: num > nat ).

thf(func_def_412,type,
    size_size_option_nat: option_nat > nat ).

thf(func_def_413,type,
    size_size_option_num: option_num > nat ).

thf(func_def_414,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_415,type,
    size_size_char: char > nat ).

thf(func_def_416,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_417,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_418,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_419,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_420,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_421,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

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

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

thf(func_def_424,type,
    nat_triangle: nat > nat ).

thf(func_def_425,type,
    root: nat > real > real ).

thf(func_def_426,type,
    sqrt: real > real ).

thf(func_def_427,type,
    bitM: num > num ).

thf(func_def_428,type,
    inc: num > num ).

thf(func_def_429,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_430,type,
    neg_nu7009210354673126013omplex: complex > complex ).

thf(func_def_431,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_432,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(func_def_433,type,
    neg_numeral_dbl_real: real > real ).

thf(func_def_434,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_435,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_436,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_437,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_438,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_439,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_440,type,
    neg_nu8557863876264182079omplex: complex > complex ).

thf(func_def_441,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_442,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_443,type,
    neg_nu8295874005876285629c_real: real > real ).

thf(func_def_444,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_445,type,
    bit0: num > num ).

thf(func_def_446,type,
    bit1: num > num ).

thf(func_def_447,type,
    one: num ).

thf(func_def_448,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_449,type,
    size_num: num > nat ).

thf(func_def_450,type,
    num_of_nat: nat > num ).

thf(func_def_451,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_452,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_453,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_454,type,
    numeral_numeral_int: num > int ).

thf(func_def_455,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_456,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_457,type,
    numeral_numeral_real: num > real ).

thf(func_def_458,type,
    pow: num > num > num ).

thf(func_def_459,type,
    pred_numeral: num > nat ).

thf(func_def_460,type,
    sqr: num > num ).

thf(func_def_461,type,
    none_nat: option_nat ).

thf(func_def_462,type,
    none_num: option_num ).

thf(func_def_463,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_464,type,
    some_nat: nat > option_nat ).

thf(func_def_465,type,
    some_num: num > option_num ).

thf(func_def_466,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_467,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_468,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_469,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_470,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_471,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_472,type,
    size_option_nat: ( nat > nat ) > option_nat > nat ).

thf(func_def_473,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_474,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_475,type,
    the_nat: option_nat > nat ).

thf(func_def_476,type,
    the_num: option_num > num ).

thf(func_def_477,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_478,type,
    bot_bo4731626569425807221er_o_o: code_integer > $o > $o ).

thf(func_def_479,type,
    bot_bot_int_int_o: int > int > $o ).

thf(func_def_480,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(func_def_481,type,
    bot_bot_nat_num_o: nat > num > $o ).

thf(func_def_482,type,
    bot_bot_num_num_o: num > num > $o ).

thf(func_def_483,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_484,type,
    bot_bot_nat: nat ).

thf(func_def_485,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_486,type,
    bot_bot_set_int: set_int ).

thf(func_def_487,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_488,type,
    bot_bot_set_num: set_num ).

thf(func_def_489,type,
    bot_bo5379713665208646970eger_o: set_Pr448751882837621926eger_o ).

thf(func_def_490,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_491,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_492,type,
    bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).

thf(func_def_493,type,
    bot_bo9056780473022590049um_num: set_Pr8218934625190621173um_num ).

thf(func_def_494,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_495,type,
    bot_bot_set_real: set_real ).

thf(func_def_496,type,
    bot_bot_set_set_int: set_set_int ).

thf(func_def_497,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_498,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_499,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_500,type,
    ord_less_int: int > int > $o ).

thf(func_def_501,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_502,type,
    ord_less_num: num > num > $o ).

thf(func_def_503,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_504,type,
    ord_less_real: real > real > $o ).

thf(func_def_505,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_506,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_507,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_508,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_509,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_510,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_511,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_512,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_513,type,
    ord_less_set_set_int: set_set_int > set_set_int > $o ).

thf(func_def_514,type,
    ord_le3480810397992357184T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_515,type,
    ord_le2162486998276636481er_o_o: ( code_integer > $o > $o ) > ( code_integer > $o > $o ) > $o ).

thf(func_def_516,type,
    ord_le4573692005234683329plex_o: ( complex > $o ) > ( complex > $o ) > $o ).

thf(func_def_517,type,
    ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_518,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_519,type,
    ord_le6558929396352911974_nat_o: ( list_nat > list_nat > $o ) > ( list_nat > list_nat > $o ) > $o ).

thf(func_def_520,type,
    ord_le1520216061033275535_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > $o ).

thf(func_def_521,type,
    ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_522,type,
    ord_le3404735783095501756_num_o: ( nat > num > $o ) > ( nat > num > $o ) > $o ).

thf(func_def_523,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_524,type,
    ord_le6124364862034508274_num_o: ( num > num > $o ) > ( num > num > $o ) > $o ).

thf(func_def_525,type,
    ord_le1598226405681992910_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > $o ).

thf(func_def_526,type,
    ord_le8369615600986905444_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_527,type,
    ord_le5604493270027003598_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(func_def_528,type,
    ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_529,type,
    ord_le2556027599737686990_num_o: ( product_prod_num_num > product_prod_num_num > $o ) > ( product_prod_num_num > product_prod_num_num > $o ) > $o ).

thf(func_def_530,type,
    ord_le2239182809043710856_num_o: ( product_prod_num_num > $o ) > ( product_prod_num_num > $o ) > $o ).

thf(func_def_531,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_532,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_533,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_534,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_535,type,
    ord_le4104064031414453916r_real: filter_real > filter_real > $o ).

thf(func_def_536,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_537,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_538,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_539,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_540,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_541,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_542,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_543,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_544,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_545,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_546,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_547,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_548,type,
    ord_le8980329558974975238eger_o: set_Pr448751882837621926eger_o > set_Pr448751882837621926eger_o > $o ).

thf(func_def_549,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_550,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_551,type,
    ord_le8085105155179020875at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > $o ).

thf(func_def_552,type,
    ord_le880128212290418581um_num: set_Pr8218934625190621173um_num > set_Pr8218934625190621173um_num > $o ).

thf(func_def_553,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_554,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_555,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(func_def_556,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_557,type,
    ord_max_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_558,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_559,type,
    ord_max_int: int > int > int ).

thf(func_def_560,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_561,type,
    ord_max_num: num > num > num ).

thf(func_def_562,type,
    ord_max_rat: rat > rat > rat ).

thf(func_def_563,type,
    ord_max_real: real > real > real ).

thf(func_def_564,type,
    ord_max_set_int: set_int > set_int > set_int ).

thf(func_def_565,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_566,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_567,type,
    order_9091379641038594480t_real: ( nat > real ) > $o ).

thf(func_def_568,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_569,type,
    order_mono_nat_real: ( nat > real ) > $o ).

thf(func_def_570,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_571,type,
    top_top_set_o: set_o ).

thf(func_def_572,type,
    top_top_set_nat: set_nat ).

thf(func_def_573,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_574,type,
    top_top_set_real: set_real ).

thf(func_def_575,type,
    top_top_set_char: set_char ).

thf(func_def_576,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_577,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_578,type,
    power_power_int: int > nat > int ).

thf(func_def_579,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_580,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_581,type,
    power_power_real: real > nat > real ).

thf(func_def_582,type,
    produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).

thf(func_def_583,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(func_def_584,type,
    produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).

thf(func_def_585,type,
    produc851828971589881931at_num: ( nat > num > num ) > produc2963631642982155120at_num > produc3368934014287244435at_num ).

thf(func_def_586,type,
    produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).

thf(func_def_587,type,
    produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).

thf(func_def_588,type,
    produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).

thf(func_def_589,type,
    produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).

thf(func_def_590,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_591,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_592,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_593,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_594,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_595,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_596,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_597,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_598,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_599,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_600,type,
    produc1195630363706982562at_num: nat > product_prod_nat_num > produc2963631642982155120at_num ).

thf(func_def_601,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_602,type,
    produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).

thf(func_def_603,type,
    produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).

thf(func_def_604,type,
    produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).

thf(func_def_605,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_606,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_607,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_608,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_609,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_610,type,
    produc7828578312038201481er_o_o: ( code_integer > $o > $o ) > produc6271795597528267376eger_o > $o ).

thf(func_def_611,type,
    produc1043322548047392435omplex: ( code_integer > $o > set_complex ) > produc6271795597528267376eger_o > set_complex ).

thf(func_def_612,type,
    produc1253318751659547953et_int: ( code_integer > $o > set_int ) > produc6271795597528267376eger_o > set_int ).

thf(func_def_613,type,
    produc5431169771168744661et_nat: ( code_integer > $o > set_nat ) > produc6271795597528267376eger_o > set_nat ).

thf(func_def_614,type,
    produc242741666403216561t_real: ( code_integer > $o > set_real ) > produc6271795597528267376eger_o > set_real ).

thf(func_def_615,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_616,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_617,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_618,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_619,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_620,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_621,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_622,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_623,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_624,type,
    produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_625,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_626,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(func_def_627,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_628,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_629,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_630,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(func_def_631,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(func_def_632,type,
    produc4927758841916487424_num_o: ( nat > num > $o ) > product_prod_nat_num > $o ).

thf(func_def_633,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_634,type,
    produc6231982587499038204omplex: ( nat > num > set_complex ) > product_prod_nat_num > set_complex ).

thf(func_def_635,type,
    produc1435849484188172666t_real: ( nat > num > set_real ) > product_prod_nat_num > set_real ).

thf(func_def_636,type,
    produc5703948589228662326_num_o: ( num > num > $o ) > product_prod_num_num > $o ).

thf(func_def_637,type,
    produc2866383454006189126omplex: ( num > num > set_complex ) > product_prod_num_num > set_complex ).

thf(func_def_638,type,
    produc6406642877701697732et_int: ( num > num > set_int ) > product_prod_num_num > set_int ).

thf(func_def_639,type,
    produc1361121860356118632et_nat: ( num > num > set_nat ) > product_prod_num_num > set_nat ).

thf(func_def_640,type,
    produc8296048397933160132t_real: ( num > num > set_real ) > product_prod_num_num > set_real ).

thf(func_def_641,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_642,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_643,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

thf(func_def_644,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_645,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_646,type,
    abs_Rat: product_prod_int_int > rat ).

thf(func_def_647,type,
    fract: int > int > rat ).

thf(func_def_648,type,
    frct: product_prod_int_int > rat ).

thf(func_def_649,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_650,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_651,type,
    field_7254667332652039916t_real: rat > real ).

thf(func_def_652,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_653,type,
    of_int: int > rat ).

thf(func_def_654,type,
    positive: rat > $o ).

thf(func_def_655,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_656,type,
    ratrel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_657,type,
    real_V2521375963428798218omplex: set_complex ).

thf(func_def_658,type,
    real_V5970128139526366754l_real: ( real > real ) > $o ).

thf(func_def_659,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_660,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_661,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_662,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_663,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_664,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_665,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(func_def_666,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_667,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_668,type,
    divide_divide_int: int > int > int ).

thf(func_def_669,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_670,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_671,type,
    divide_divide_real: real > real > real ).

thf(func_def_672,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_673,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_674,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_675,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_676,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_677,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_678,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_679,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_680,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_681,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_682,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_683,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_684,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_685,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_686,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_687,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_688,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_689,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_690,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_691,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_692,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_693,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_694,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_695,type,
    collect_list_o: ( list_o > $o ) > set_list_o ).

thf(func_def_696,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(func_def_697,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(func_def_698,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_699,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(func_def_700,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_701,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_702,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_703,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_704,type,
    collect_set_complex: ( set_complex > $o ) > set_set_complex ).

thf(func_def_705,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_706,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_707,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_708,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

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

thf(func_def_710,type,
    image_nat_real: ( nat > real ) > set_nat > set_real ).

thf(func_def_711,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_712,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_713,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_714,type,
    image_VEBT_VEBT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > set_nat ).

thf(func_def_715,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_716,type,
    insert_int: int > set_int > set_int ).

thf(func_def_717,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_718,type,
    insert_num: num > set_num > set_num ).

thf(func_def_719,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_720,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_721,type,
    insert_real: real > set_real > set_real ).

thf(func_def_722,type,
    insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_723,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_724,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_725,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_726,type,
    set_fo8365102181078989356at_num: ( nat > num > num ) > nat > nat > num > num ).

thf(func_def_727,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_728,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_729,type,
    set_fo3699595496184130361el_nat: produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ).

thf(func_def_730,type,
    set_fo256927282339908995el_num: produc3368934014287244435at_num > produc3368934014287244435at_num > $o ).

thf(func_def_731,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_732,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_733,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_734,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_735,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_736,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_737,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_738,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_739,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_740,type,
    set_ord_atLeast_real: real > set_real ).

thf(func_def_741,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_742,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_743,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_744,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_745,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_746,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_747,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_748,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_749,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_750,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_751,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_752,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_753,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_754,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_755,type,
    ascii_of: char > char ).

thf(func_def_756,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_757,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_758,type,
    integer_of_char: char > code_integer ).

thf(func_def_759,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_760,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_761,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_762,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_763,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_764,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_765,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_766,type,
    arccos: real > real ).

thf(func_def_767,type,
    arcosh_real: real > real ).

thf(func_def_768,type,
    arcsin: real > real ).

thf(func_def_769,type,
    arctan: real > real ).

thf(func_def_770,type,
    arsinh_real: real > real ).

thf(func_def_771,type,
    artanh_real: real > real ).

thf(func_def_772,type,
    cos_real: real > real ).

thf(func_def_773,type,
    cos_coeff: nat > real ).

thf(func_def_774,type,
    cosh_real: real > real ).

thf(func_def_775,type,
    cot_real: real > real ).

thf(func_def_776,type,
    exp_complex: complex > complex ).

thf(func_def_777,type,
    exp_real: real > real ).

thf(func_def_778,type,
    ln_ln_real: real > real ).

thf(func_def_779,type,
    log: real > real > real ).

thf(func_def_780,type,
    pi: real ).

thf(func_def_781,type,
    powr_real: real > real > real ).

thf(func_def_782,type,
    sin_real: real > real ).

thf(func_def_783,type,
    sin_coeff: nat > real ).

thf(func_def_784,type,
    sinh_real: real > real ).

thf(func_def_785,type,
    tan_real: real > real ).

thf(func_def_786,type,
    tanh_complex: complex > complex ).

thf(func_def_787,type,
    tanh_real: real > real ).

thf(func_def_788,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_789,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_790,type,
    vEBT_T_i_n_s_e_r_t: vEBT_VEBT > nat > nat ).

thf(func_def_791,type,
    vEBT_T_i_n_s_e_r_t2: vEBT_VEBT > nat > nat ).

thf(func_def_792,type,
    vEBT_T5076183648494686801_t_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_793,type,
    vEBT_T9217963907923527482_t_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_794,type,
    vEBT_T_m_a_x_t: vEBT_VEBT > nat ).

thf(func_def_795,type,
    vEBT_T_m_a_x_t_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_796,type,
    vEBT_T_m_e_m_b_e_r: vEBT_VEBT > nat > nat ).

thf(func_def_797,type,
    vEBT_T_m_e_m_b_e_r2: vEBT_VEBT > nat > nat ).

thf(func_def_798,type,
    vEBT_T8099345112685741742_r_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_799,type,
    vEBT_T5837161174952499735_r_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_800,type,
    vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat ).

thf(func_def_801,type,
    vEBT_T5462971552011256508_l_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_802,type,
    vEBT_T_m_i_n_t: vEBT_VEBT > nat ).

thf(func_def_803,type,
    vEBT_T_m_i_n_t_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_804,type,
    vEBT_T_p_r_e_d: vEBT_VEBT > nat > nat ).

thf(func_def_805,type,
    vEBT_T_p_r_e_d2: vEBT_VEBT > nat > nat ).

thf(func_def_806,type,
    vEBT_T_p_r_e_d_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_807,type,
    vEBT_T_p_r_e_d_rel2: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_808,type,
    vEBT_T_s_u_c_c: vEBT_VEBT > nat > nat ).

thf(func_def_809,type,
    vEBT_T_s_u_c_c2: vEBT_VEBT > nat > nat ).

thf(func_def_810,type,
    vEBT_T_s_u_c_c_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_811,type,
    vEBT_T_s_u_c_c_rel2: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_812,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_813,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_814,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_815,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_816,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_817,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_818,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_819,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_820,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_821,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_822,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_823,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_824,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_825,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_826,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_827,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_828,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_829,type,
    vEBT_T_d_e_l_e_t_e: vEBT_VEBT > nat > nat ).

thf(func_def_830,type,
    vEBT_T8441311223069195367_e_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_831,type,
    vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_832,type,
    vEBT_vebt_delete_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_833,type,
    vEBT_VEBT_height: vEBT_VEBT > nat ).

thf(func_def_834,type,
    vEBT_VEBT_height_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_835,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_836,type,
    vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_837,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_838,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_839,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_840,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_841,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_842,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_843,type,
    vEBT_VEBT_add: option_nat > option_nat > option_nat ).

thf(func_def_844,type,
    vEBT_VEBT_greater: option_nat > option_nat > $o ).

thf(func_def_845,type,
    vEBT_VEBT_less: option_nat > option_nat > $o ).

thf(func_def_846,type,
    vEBT_VEBT_lesseq: option_nat > option_nat > $o ).

thf(func_def_847,type,
    vEBT_VEBT_max_in_set: set_nat > nat > $o ).

thf(func_def_848,type,
    vEBT_VEBT_min_in_set: set_nat > nat > $o ).

thf(func_def_849,type,
    vEBT_VEBT_mul: option_nat > option_nat > option_nat ).

thf(func_def_850,type,
    vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).

thf(func_def_851,type,
    vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(func_def_852,type,
    vEBT_V1502963449132264192at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat ).

thf(func_def_853,type,
    vEBT_V3895251965096974666el_nat: produc8306885398267862888on_nat > produc8306885398267862888on_nat > $o ).

thf(func_def_854,type,
    vEBT_V452583751252753300el_num: produc1193250871479095198on_num > produc1193250871479095198on_num > $o ).

thf(func_def_855,type,
    vEBT_V7235779383477046023at_nat: produc5542196010084753463at_nat > produc5542196010084753463at_nat > $o ).

thf(func_def_856,type,
    vEBT_VEBT_power: option_nat > option_nat > option_nat ).

thf(func_def_857,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

thf(func_def_858,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_859,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(func_def_860,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_861,type,
    vEBT_is_pred_in_set: set_nat > nat > nat > $o ).

thf(func_def_862,type,
    vEBT_vebt_pred: vEBT_VEBT > nat > option_nat ).

thf(func_def_863,type,
    vEBT_vebt_pred_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_864,type,
    vEBT_is_succ_in_set: set_nat > nat > nat > $o ).

thf(func_def_865,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).

thf(func_def_866,type,
    vEBT_vebt_succ_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_867,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_868,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_869,type,
    accp_P6019419558468335806at_nat: ( produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ) > produc4471711990508489141at_nat > $o ).

thf(func_def_870,type,
    accp_P5496254298877145759on_nat: ( produc8306885398267862888on_nat > produc8306885398267862888on_nat > $o ) > produc8306885398267862888on_nat > $o ).

thf(func_def_871,type,
    accp_P4916641582247091100at_num: ( produc3368934014287244435at_num > produc3368934014287244435at_num > $o ) > produc3368934014287244435at_num > $o ).

thf(func_def_872,type,
    accp_P7605991808943153877on_num: ( produc1193250871479095198on_num > produc1193250871479095198on_num > $o ) > produc1193250871479095198on_num > $o ).

thf(func_def_873,type,
    accp_P3267385326087170368at_nat: ( produc5542196010084753463at_nat > produc5542196010084753463at_nat > $o ) > produc5542196010084753463at_nat > $o ).

thf(func_def_874,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_875,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_876,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_877,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_878,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(func_def_879,type,
    measure_int: ( int > nat ) > set_Pr958786334691620121nt_int ).

thf(func_def_880,type,
    measure_nat: ( nat > nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_881,type,
    measure_num: ( num > nat ) > set_Pr8218934625190621173um_num ).

thf(func_def_882,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_883,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_884,type,
    member_o: $o > set_o > $o ).

thf(func_def_885,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_886,type,
    member_int: int > set_int > $o ).

thf(func_def_887,type,
    member_list_o: list_o > set_list_o > $o ).

thf(func_def_888,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_889,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_890,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_891,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_892,type,
    member_num: num > set_num > $o ).

thf(func_def_893,type,
    member1379723562493234055eger_o: produc6271795597528267376eger_o > set_Pr448751882837621926eger_o > $o ).

thf(func_def_894,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_895,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_896,type,
    member9148766508732265716at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > $o ).

thf(func_def_897,type,
    member7279096912039735102um_num: product_prod_num_num > set_Pr8218934625190621173um_num > $o ).

thf(func_def_898,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_899,type,
    member_real: real > set_real > $o ).

thf(func_def_900,type,
    member_set_int: set_int > set_set_int > $o ).

thf(func_def_901,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_902,type,
    deg: nat ).

thf(func_def_903,type,
    m: nat ).

thf(func_def_904,type,
    ma: nat ).

thf(func_def_905,type,
    mi: nat ).

thf(func_def_906,type,
    na: nat ).

thf(func_def_907,type,
    summary: vEBT_VEBT ).

thf(func_def_908,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_909,type,
    xa: nat ).

thf(func_def_913,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_914,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_915,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_916,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_917,type,
    vAND: $o > $o > $o ).

thf(func_def_918,type,
    vNOT: $o > $o ).

thf(func_def_919,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_920,type,
    vOR: $o > $o > $o ).

thf(func_def_921,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_922,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_923,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_924,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_925,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_926,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_927,type,
    vIMP: $o > $o > $o ).

thf(func_def_928,type,
    sP0: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_929,type,
    sP1: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_930,type,
    sP2: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_931,type,
    sP3: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_932,type,
    sP4: option_nat > nat > vEBT_VEBT > $o ).

thf(func_def_933,type,
    sP5: set_int > ( int > $o ) > int > ( int > $o ) > $o ).

thf(func_def_934,type,
    sP6: option_num > num > num > $o ).

thf(func_def_935,type,
    sP7: num > option_num > num > $o ).

thf(func_def_936,type,
    sP8: num > num > option_num > $o ).

thf(func_def_937,type,
    sP9: option_num > num > num > $o ).

thf(func_def_938,type,
    sP10: option_num > num > num > $o ).

thf(func_def_939,type,
    sP11: num > option_num > num > $o ).

thf(func_def_940,type,
    sP12: option_num > num > num > $o ).

thf(func_def_941,type,
    sP13: option_nat > vEBT_VEBT > $o ).

thf(func_def_942,type,
    sP14: num > num > option_num > $o ).

thf(func_def_943,type,
    sP15: num > num > option_num > $o ).

thf(func_def_944,type,
    sP16: option_num > num > num > $o ).

thf(func_def_945,type,
    sP17: num > option_num > num > $o ).

thf(func_def_946,type,
    sP18: num > option_num > num > $o ).

thf(func_def_947,type,
    sP19: num > num > option_num > $o ).

thf(func_def_948,type,
    sP20: option_num > num > num > $o ).

thf(func_def_949,type,
    sP21: ( real > real ) > ( real > real ) > real > real > $o ).

thf(func_def_950,type,
    sP22: real > real > ( real > real ) > $o ).

thf(func_def_951,type,
    sP23: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_952,type,
    sP24: nat > nat > vEBT_VEBT > $o ).

thf(func_def_953,type,
    sP25: nat > vEBT_VEBT > nat > $o ).

thf(func_def_954,type,
    sP26: nat > nat > vEBT_VEBT > $o ).

thf(func_def_955,type,
    sP27: vEBT_VEBT > nat > nat > $o ).

thf(func_def_956,type,
    sP28: vEBT_VEBT > nat > nat > $o ).

thf(func_def_957,type,
    sP29: ( int > $o ) > int > int > $o ).

thf(func_def_958,type,
    sP30: vEBT_VEBT > nat > nat > $o ).

thf(func_def_959,type,
    sP31: nat > vEBT_VEBT > nat > $o ).

thf(func_def_960,type,
    sP32: nat > nat > vEBT_VEBT > $o ).

thf(func_def_961,type,
    sP33: vEBT_VEBT > nat > $o ).

thf(func_def_962,type,
    sP34: nat > vEBT_VEBT > $o ).

thf(func_def_963,type,
    sP35: int > int > product_prod_int_int > $o ).

thf(func_def_964,type,
    sP36: set_real > ( complex > real ) > ( real > complex ) > ( real > real ) > $o ).

thf(func_def_965,type,
    sP37: ( real > complex ) > set_complex > set_complex > set_real > set_real > $o ).

thf(func_def_966,type,
    sP38: set_complex > set_complex > ( real > complex ) > ( complex > real ) > $o ).

thf(func_def_967,type,
    sP39: num > num > num > $o ).

thf(func_def_968,type,
    sP40: num > num > num > $o ).

thf(func_def_969,type,
    sP41: num > num > num > $o ).

thf(func_def_970,type,
    sP42: num > num > num > $o ).

thf(func_def_971,type,
    sP43: num > num > num > $o ).

thf(func_def_972,type,
    sP44: num > num > num > $o ).

thf(func_def_973,type,
    sP45: num > num > num > $o ).

thf(func_def_974,type,
    sP46: num > num > num > $o ).

thf(func_def_975,type,
    sP47: num > num > num > $o ).

thf(func_def_976,type,
    sP48: nat > vEBT_VEBT > $o ).

thf(func_def_977,type,
    sP49: $o > nat > vEBT_VEBT > $o ).

thf(func_def_978,type,
    sP50: vEBT_VEBT > $o > nat > $o ).

thf(func_def_979,type,
    sP51: nat > $o > vEBT_VEBT > $o ).

thf(func_def_980,type,
    sP52: ( nat > real > real ) > nat > ( real > real ) > real > real > $o ).

thf(func_def_981,type,
    sP53: vEBT_VEBT > $o > $o ).

thf(func_def_982,type,
    sP54: nat > vEBT_VEBT > $o ).

thf(func_def_983,type,
    sP55: vEBT_VEBT > $o > $o ).

thf(func_def_984,type,
    sP56: $o > vEBT_VEBT > $o ).

thf(func_def_985,type,
    sP57: $o > vEBT_VEBT > $o ).

thf(func_def_986,type,
    sP58: ( real > int ) > set_int > set_int > set_real > set_real > $o ).

thf(func_def_987,type,
    sP59: ( int > real ) > ( real > int ) > set_real > set_real > $o ).

thf(func_def_988,type,
    sP60: ( real > int ) > ( int > real ) > set_int > set_int > $o ).

thf(func_def_989,type,
    sP61: nat > vEBT_VEBT > $o ).

thf(func_def_990,type,
    sP62: nat > vEBT_VEBT > $o ).

thf(func_def_991,type,
    sP63: nat > vEBT_VEBT > $o ).

thf(func_def_992,type,
    sP64: option_nat > option_nat > option_nat > ( nat > nat > nat ) > $o ).

thf(func_def_993,type,
    sP65: nat > nat > vEBT_VEBT > $o ).

thf(func_def_994,type,
    sP66: vEBT_VEBT > nat > nat > $o ).

thf(func_def_995,type,
    sP67: nat > vEBT_VEBT > nat > $o ).

thf(func_def_996,type,
    sP68: vEBT_VEBT > $o > nat > $o ).

thf(func_def_997,type,
    sP69: $o > nat > vEBT_VEBT > $o ).

thf(func_def_998,type,
    sP70: vEBT_VEBT > nat > nat > $o ).

thf(func_def_999,type,
    sP71: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1000,type,
    sP72: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1001,type,
    sP73: ( nat > nat > nat ) > option_nat > option_nat > option_nat > $o ).

thf(func_def_1002,type,
    sP74: ( real > real > $o ) > real > real > $o ).

thf(func_def_1003,type,
    sP75: nat > vEBT_VEBT > $o ).

thf(func_def_1004,type,
    sP76: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1005,type,
    sP77: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1006,type,
    sP78: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1007,type,
    sP79: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1008,type,
    sP80: $o > vEBT_VEBT > nat > $o ).

thf(func_def_1009,type,
    sP81: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1010,type,
    sP82: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1011,type,
    sP83: ( int > int ) > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1012,type,
    sP84: set_int > ( int > complex ) > ( int > complex ) > ( int > int ) > $o ).

thf(func_def_1013,type,
    sP85: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1014,type,
    sP86: vEBT_VEBT > nat > $o ).

thf(func_def_1015,type,
    sP87: nat > nat > nat > $o ).

thf(func_def_1016,type,
    sP88: nat > nat > nat > $o ).

thf(func_def_1017,type,
    sP89: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1018,type,
    sP90: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1019,type,
    sP91: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1020,type,
    sP92: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1021,type,
    sP93: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1022,type,
    sP94: ( int > $o ) > set_int > ( int > $o ) > int > $o ).

thf(func_def_1023,type,
    sP95: ( real > complex ) > set_real > $o ).

thf(func_def_1024,type,
    sP96: set_int > set_int > ( real > int ) > ( int > real ) > $o ).

thf(func_def_1025,type,
    sP97: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1026,type,
    sP98: nat > vEBT_VEBT > $o ).

thf(func_def_1027,type,
    sP99: nat > vEBT_VEBT > $o ).

thf(func_def_1028,type,
    sP100: nat > vEBT_VEBT > $o ).

thf(func_def_1029,type,
    sP101: vEBT_VEBT > nat > $o ).

thf(func_def_1030,type,
    sP102: vEBT_VEBT > nat > $o ).

thf(func_def_1031,type,
    sP103: option_num > option_num > ( num > num > num ) > option_num > $o ).

thf(func_def_1032,type,
    sP104: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1033,type,
    sP105: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1034,type,
    sP106: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1035,type,
    sP107: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1036,type,
    sP108: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1037,type,
    sP109: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1038,type,
    sP110: list_VEBT_VEBT > nat > nat > $o ).

thf(func_def_1039,type,
    sP111: num > option_num > num > $o ).

thf(func_def_1040,type,
    sP112: num > option_num > num > $o ).

thf(func_def_1041,type,
    sP113: num > num > option_num > $o ).

thf(func_def_1042,type,
    sP114: num > option_num > num > $o ).

thf(func_def_1043,type,
    sP115: num > num > option_num > $o ).

thf(func_def_1044,type,
    sP116: option_num > num > num > $o ).

thf(func_def_1045,type,
    sP117: num > num > option_num > $o ).

thf(func_def_1046,type,
    sP118: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1047,type,
    sP119: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1048,type,
    sP120: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1049,type,
    sP121: num > num > option_num > $o ).

thf(func_def_1050,type,
    sP122: option_num > num > num > $o ).

thf(func_def_1051,type,
    sP123: option_num > num > num > $o ).

thf(func_def_1052,type,
    sP124: num > option_num > num > $o ).

thf(func_def_1053,type,
    sP125: num > option_num > num > $o ).

thf(func_def_1054,type,
    sP126: option_num > num > num > $o ).

thf(func_def_1055,type,
    sP127: option_num > num > num > $o ).

thf(func_def_1056,type,
    sP128: num > num > num > $o ).

thf(func_def_1057,type,
    sP129: num > num > num > $o ).

thf(func_def_1058,type,
    sP130: num > num > num > $o ).

thf(func_def_1059,type,
    sP131: num > num > num > $o ).

thf(func_def_1060,type,
    sP132: num > num > num > $o ).

thf(func_def_1061,type,
    sP133: num > num > num > $o ).

thf(func_def_1062,type,
    sP134: num > num > num > $o ).

thf(func_def_1063,type,
    sP135: ( int > $o ) > int > set_int > ( int > $o ) > $o ).

thf(func_def_1064,type,
    sP136: ( int > real ) > set_real > set_real > set_int > set_int > $o ).

thf(func_def_1065,type,
    sP137: set_int > ( int > real ) > ( real > real ) > ( int > real ) > $o ).

thf(func_def_1066,type,
    sP138: set_real > set_real > ( real > int ) > set_int > set_int > $o ).

thf(func_def_1067,type,
    sP139: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1068,type,
    sP140: set_int > ( int > real ) > $o ).

thf(func_def_1069,type,
    sP141: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1070,type,
    sP142: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1071,type,
    sP143: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1072,type,
    sP144: option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > $o ).

thf(func_def_1073,type,
    sP145: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1074,type,
    sP146: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1075,type,
    sP147: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1076,type,
    sP148: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1077,type,
    sP149: set_real > ( real > complex ) > ( real > complex ) > ( real > real ) > $o ).

thf(func_def_1078,type,
    sP150: ( real > real ) > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1079,type,
    sP151: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1080,type,
    sP152: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1081,type,
    sP153: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1082,type,
    sP154: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1083,type,
    sP155: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1084,type,
    sP156: nat > vEBT_VEBT > $o ).

thf(func_def_1085,type,
    sP157: set_int > int > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_1086,type,
    sP158: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1087,type,
    sP159: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1088,type,
    sP160: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1089,type,
    sP161: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1090,type,
    sP162: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1091,type,
    sP163: vEBT_VEBT > nat > $o ).

thf(func_def_1092,type,
    sP164: vEBT_VEBT > nat > $o ).

thf(func_def_1093,type,
    sP165: nat > vEBT_VEBT > $o ).

thf(func_def_1094,type,
    sP166: nat > vEBT_VEBT > $o ).

thf(func_def_1095,type,
    sP167: nat > $o > vEBT_VEBT > $o ).

thf(func_def_1096,type,
    sP168: vEBT_VEBT > nat > $o > $o ).

thf(func_def_1097,type,
    sP169: ( int > real ) > set_real > set_real > set_int > set_int > $o ).

thf(func_def_1098,type,
    sP170: ( real > int ) > ( int > real ) > set_int > set_int > $o ).

thf(func_def_1099,type,
    sP171: ( int > real ) > set_int > $o ).

thf(func_def_1100,type,
    sP172: nat > vEBT_VEBT > $o ).

thf(func_def_1101,type,
    sP173: num > option_num > num > $o ).

thf(func_def_1102,type,
    sP174: num > num > option_num > $o ).

thf(func_def_1103,type,
    sP175: num > num > option_num > $o ).

thf(func_def_1104,type,
    sP176: num > num > option_num > $o ).

thf(func_def_1105,type,
    sP177: num > option_num > num > $o ).

thf(func_def_1106,type,
    sP178: option_num > num > num > $o ).

thf(func_def_1107,type,
    sP179: num > num > option_num > $o ).

thf(func_def_1108,type,
    sP180: nat > vEBT_VEBT > $o ).

thf(func_def_1109,type,
    sP181: vEBT_VEBT > nat > $o ).

thf(func_def_1110,type,
    sP182: num > num > option_num > $o ).

thf(func_def_1111,type,
    sP183: num > num > option_num > $o ).

thf(func_def_1112,type,
    sP184: num > option_num > num > $o ).

thf(func_def_1113,type,
    sP185: num > option_num > num > $o ).

thf(func_def_1114,type,
    sP186: num > num > option_num > $o ).

thf(func_def_1115,type,
    sP187: num > option_num > num > $o ).

thf(func_def_1116,type,
    sP188: option_num > num > num > $o ).

thf(func_def_1117,type,
    sP189: set_int > ( complex > real ) > ( int > complex ) > ( int > real ) > $o ).

thf(func_def_1118,type,
    sP190: set_int > set_int > ( int > complex ) > set_complex > set_complex > $o ).

thf(func_def_1119,type,
    sP191: set_complex > set_complex > ( complex > int ) > set_int > set_int > $o ).

thf(func_def_1120,type,
    sP192: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1121,type,
    sP193: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1122,type,
    sP194: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1123,type,
    sP195: option_num > ( num > num > num ) > option_num > option_num > $o ).

thf(func_def_1124,type,
    sP196: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1125,type,
    sP197: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1126,type,
    sP198: int > int > int > $o ).

thf(func_def_1127,type,
    sP199: int > int > int > $o ).

thf(func_def_1128,type,
    sP200: ( int > $o ) > ( int > $o ) > set_int > int > $o ).

thf(func_def_1129,type,
    sP201: ( int > $o ) > ( int > $o ) > set_int > int > $o ).

thf(func_def_1130,type,
    sP202: vEBT_VEBT > nat > $o ).

thf(func_def_1131,type,
    sP203: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1132,type,
    sP204: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1133,type,
    sP205: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1134,type,
    sP206: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1135,type,
    sP207: option_nat > vEBT_VEBT > $o ).

thf(func_def_1136,type,
    sP208: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1137,type,
    sP209: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1138,type,
    sP210: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1139,type,
    sP211: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1140,type,
    sP212: vEBT_VEBT > nat > $o > $o ).

thf(func_def_1141,type,
    sP213: vEBT_VEBT > nat > $o ).

thf(func_def_1142,type,
    sP214: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1143,type,
    sP215: nat > option_nat > vEBT_VEBT > $o ).

thf(func_def_1144,type,
    sP216: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1145,type,
    sP217: vEBT_VEBT > nat > $o ).

thf(func_def_1146,type,
    sP218: vEBT_VEBT > nat > $o ).

thf(func_def_1147,type,
    sP219: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1148,type,
    sP220: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1149,type,
    sP221: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1150,type,
    sP222: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1151,type,
    sP223: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1152,type,
    sP224: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1153,type,
    sP225: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1154,type,
    sP226: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1155,type,
    sP227: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1156,type,
    sP228: rat > rat > rat > $o ).

thf(func_def_1157,type,
    sP229: rat > rat > rat > $o ).

thf(func_def_1158,type,
    sP230: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1159,type,
    sP231: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1160,type,
    sP232: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1161,type,
    sP233: ( int > $o ) > int > int > $o ).

thf(func_def_1162,type,
    sP234: ( int > $o ) > int > int > $o ).

thf(func_def_1163,type,
    sP235: option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > $o ).

thf(func_def_1164,type,
    sP236: ( real > real ) > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1165,type,
    sP237: ( real > real ) > set_real > $o ).

thf(func_def_1166,type,
    sP238: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1167,type,
    sP239: nat > vEBT_VEBT > nat > $o ).

thf(func_def_1168,type,
    sP240: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1169,type,
    sP241: vEBT_VEBT > nat > nat > $o ).

thf(func_def_1170,type,
    sP242: nat > real > real > $o ).

thf(func_def_1171,type,
    sP243: real > ( real > real ) > real > ( real > real ) > $o ).

thf(func_def_1172,type,
    sP244: ( real > real ) > real > real > $o ).

thf(func_def_1173,type,
    sP245: real > ( real > real ) > real > $o ).

thf(func_def_1174,type,
    sP246: nat > vEBT_VEBT > $o ).

thf(func_def_1175,type,
    sP247: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1176,type,
    sP248: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1177,type,
    sP249: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1178,type,
    sP250: list_VEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1179,type,
    sP251: ( int > $o ) > int > int > $o ).

thf(func_def_1180,type,
    sP252: vEBT_VEBT > nat > $o ).

thf(func_def_1181,type,
    sK253: ( nat > int ) > nat ).

thf(func_def_1182,type,
    sK254: set_real > ( real > nat ) > real ).

thf(func_def_1183,type,
    sK255: ( num > rat ) > num ).

thf(func_def_1184,type,
    sK256: ( num > rat ) > num ).

thf(func_def_1185,type,
    sK257: nat > produc6271795597528267376eger_o > ( code_integer > $o > set_nat ) > code_integer ).

thf(func_def_1186,type,
    sK258: nat > produc6271795597528267376eger_o > ( code_integer > $o > set_nat ) > $o ).

thf(func_def_1187,type,
    sK259: int > set_int > int ).

thf(func_def_1188,type,
    sK260: set_int > int ).

thf(func_def_1189,type,
    sK261: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_1190,type,
    sK262: set_real > ( real > int ) > set_real > real ).

thf(func_def_1191,type,
    sK263: set_real > ( real > int ) > ( real > int ) > real ).

thf(func_def_1192,type,
    sK264: ( rat > real ) > rat ).

thf(func_def_1193,type,
    sK265: ( rat > real ) > rat ).

thf(func_def_1194,type,
    sK266: ( set_int > $o ) > set_int ).

thf(func_def_1195,type,
    sK267: ( complex > rat ) > set_complex > ( complex > rat ) > complex ).

thf(func_def_1196,type,
    sK268: nat > ( nat > $o ) > nat ).

thf(func_def_1197,type,
    sK269: nat > ( nat > $o ) > nat ).

thf(func_def_1198,type,
    sK270: int > ( int > nat ) > set_int > int ).

thf(func_def_1199,type,
    sK271: ( int > nat ) > set_int > int ).

thf(func_def_1200,type,
    sK272: ( real > real ) > set_real > real > real ).

thf(func_def_1201,type,
    sK273: ( set_nat > $o ) > nat ).

thf(func_def_1202,type,
    sK274: ( set_nat > $o ) > set_nat ).

thf(func_def_1203,type,
    sK275: set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_1204,type,
    sK276: option_nat > nat > vEBT_VEBT > nat ).

thf(func_def_1205,type,
    sK277: option_nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1206,type,
    sK278: option_nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1207,type,
    sK279: option_nat > vEBT_VEBT > nat > nat ).

thf(func_def_1208,type,
    sK280: option_nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1209,type,
    sK281: option_nat > vEBT_VEBT > nat > nat ).

thf(func_def_1210,type,
    sK282: option_nat > vEBT_VEBT > nat > nat ).

thf(func_def_1211,type,
    sK283: option_nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1212,type,
    sK284: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1213,type,
    sK285: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1214,type,
    sK286: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1215,type,
    sK287: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1216,type,
    sK288: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1217,type,
    sK289: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1218,type,
    sK290: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_1219,type,
    sK291: option_nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1220,type,
    sK292: option_nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_1221,type,
    sK293: option_nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1222,type,
    sK294: option_nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1223,type,
    sK295: option_nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1224,type,
    sK296: option_nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_1225,type,
    sK297: num > num ).

thf(func_def_1226,type,
    sK298: produc4471711990508489141at_nat > nat ).

thf(func_def_1227,type,
    sK299: produc4471711990508489141at_nat > nat ).

thf(func_def_1228,type,
    sK300: produc4471711990508489141at_nat > nat ).

thf(func_def_1229,type,
    sK301: produc4471711990508489141at_nat > nat > nat > nat ).

thf(func_def_1230,type,
    sK302: nat > nat ).

thf(func_def_1231,type,
    sK303: set_nat > ( nat > rat ) > nat ).

thf(func_def_1232,type,
    sK304: vEBT_VEBT > nat ).

thf(func_def_1233,type,
    sK305: ( nat > real ) > nat ).

thf(func_def_1234,type,
    sK306: ( nat > int ) > set_nat > ( nat > int ) > nat ).

thf(func_def_1235,type,
    sK307: set_complex > ( complex > real ) > ( complex > real ) > complex ).

thf(func_def_1236,type,
    sK308: ( real > nat ) > set_real > real ).

thf(func_def_1237,type,
    sK309: ( real > nat ) > set_real > real ).

thf(func_def_1238,type,
    sK310: ( nat > num > set_real ) > product_prod_nat_num > real > nat ).

thf(func_def_1239,type,
    sK311: ( nat > num > set_real ) > product_prod_nat_num > real > num ).

thf(func_def_1240,type,
    sK312: ( int > $o ) > int > int ).

thf(func_def_1241,type,
    sK313: ( int > $o ) > int > int ).

thf(func_def_1242,type,
    sK314: set_num > num ).

thf(func_def_1243,type,
    sK315: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1244,type,
    sK316: vEBT_VEBT > nat ).

thf(func_def_1245,type,
    sK317: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1246,type,
    sK318: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1247,type,
    sK319: vEBT_VEBT > $o ).

thf(func_def_1248,type,
    sK320: vEBT_VEBT > $o ).

thf(func_def_1249,type,
    sK321: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_1250,type,
    sK322: ( nat > nat > $o ) > nat ).

thf(func_def_1251,type,
    sK323: ( nat > nat > $o ) > nat ).

thf(func_def_1252,type,
    sK324: ( nat > nat > $o ) > nat ).

thf(func_def_1253,type,
    sK325: ( nat > nat > $o ) > nat ).

thf(func_def_1254,type,
    sK326: ( nat > nat > $o ) > nat ).

thf(func_def_1255,type,
    sK327: ( nat > $o ) > nat ).

thf(func_def_1256,type,
    sK328: ( nat > $o ) > nat > nat ).

thf(func_def_1257,type,
    sK329: ( nat > $o ) > nat > nat ).

thf(func_def_1258,type,
    sK330: int > set_int > int > int ).

thf(func_def_1259,type,
    sK331: int > set_int > int > int ).

thf(func_def_1260,type,
    sK332: ( int > $o ) > set_int > int > int ).

thf(func_def_1261,type,
    sK333: set_int > ( int > $o ) > int > int ).

thf(func_def_1262,type,
    sK334: ( ( nat > num > num ) > nat > nat > num > $o ) > nat ).

thf(func_def_1263,type,
    sK335: ( ( nat > num > num ) > nat > nat > num > $o ) > num ).

thf(func_def_1264,type,
    sK336: ( ( nat > num > num ) > nat > nat > num > $o ) > nat > num > num ).

thf(func_def_1265,type,
    sK337: ( ( nat > num > num ) > nat > nat > num > $o ) > nat ).

thf(func_def_1266,type,
    sK338: ( nat > $o ) > nat > nat ).

thf(func_def_1267,type,
    sK339: ( nat > $o ) > nat > nat ).

thf(func_def_1268,type,
    sK340: int > nat ).

thf(func_def_1269,type,
    sK341: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1270,type,
    sK342: ( nat > rat ) > nat ).

thf(func_def_1271,type,
    sK343: ( nat > rat ) > nat ).

thf(func_def_1272,type,
    sK344: ( set_rat > $o ) > set_rat ).

thf(func_def_1273,type,
    sK345: ( set_rat > $o ) > rat ).

thf(func_def_1274,type,
    sK346: int > ( int > int > $o ) > int > int ).

thf(func_def_1275,type,
    sK347: int > ( int > int > $o ) > int > int ).

thf(func_def_1276,type,
    sK348: option_num > num > num > num ).

thf(func_def_1277,type,
    sK349: option_num > num > num > num ).

thf(func_def_1278,type,
    sK350: num > option_num > num > num ).

thf(func_def_1279,type,
    sK351: num > option_num > num > num ).

thf(func_def_1280,type,
    sK352: option_num > num > num > num ).

thf(func_def_1281,type,
    sK353: num > num ).

thf(func_def_1282,type,
    sK354: num > option_num > num > num ).

thf(func_def_1283,type,
    sK355: num > num ).

thf(func_def_1284,type,
    sK356: num > num > option_num > num ).

thf(func_def_1285,type,
    sK357: num > num > option_num > num ).

thf(func_def_1286,type,
    sK358: num > num > option_num > num ).

thf(func_def_1287,type,
    sK359: num > num > option_num > num ).

thf(func_def_1288,type,
    sK360: nat > ( nat > $o ) > nat ).

thf(func_def_1289,type,
    sK361: nat > ( nat > $o ) > nat ).

thf(func_def_1290,type,
    sK362: ( complex > real ) > complex > set_complex > complex ).

thf(func_def_1291,type,
    sK363: ( nat > $o ) > nat > nat ).

thf(func_def_1292,type,
    sK364: ( int > $o ) > int ).

thf(func_def_1293,type,
    sK365: ( int > $o ) > int ).

thf(func_def_1294,type,
    sK366: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_1295,type,
    sK367: ( num > rat ) > num ).

thf(func_def_1296,type,
    sK368: ( num > rat ) > num ).

thf(func_def_1297,type,
    sK369: ( real > rat ) > set_real > set_real > real ).

thf(func_def_1298,type,
    sK370: set_real > ( real > real ) > real ).

thf(func_def_1299,type,
    sK371: ( nat > real ) > real > nat ).

thf(func_def_1300,type,
    sK372: ( int > real ) > int ).

thf(func_def_1301,type,
    sK373: ( int > real ) > int ).

thf(func_def_1302,type,
    sK374: int > int > set_int > int ).

thf(func_def_1303,type,
    sK375: int > int > set_int > int ).

thf(func_def_1304,type,
    sK376: ( complex > complex > $o ) > complex ).

thf(func_def_1305,type,
    sK377: ( complex > complex > $o ) > complex ).

thf(func_def_1306,type,
    sK378: ( complex > complex > $o ) > complex ).

thf(func_def_1307,type,
    sK379: ( complex > complex > $o ) > complex ).

thf(func_def_1308,type,
    sK380: ( nat > complex ) > ( complex > complex > $o ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_1309,type,
    sK381: ( nat > rat ) > set_nat > nat ).

thf(func_def_1310,type,
    sK382: ( num > int ) > num ).

thf(func_def_1311,type,
    sK383: ( num > int ) > num ).

thf(func_def_1312,type,
    sK384: ( int > rat ) > set_int > int ).

thf(func_def_1313,type,
    sK385: set_int > int > int ).

thf(func_def_1314,type,
    sK386: ( nat > real ) > real > ( real > nat > real ) > real > real ).

thf(func_def_1315,type,
    sK387: ( nat > real ) > real > ( real > nat > real ) > real > real ).

thf(func_def_1316,type,
    sK388: ( nat > real ) > real > ( real > nat > real ) > real > nat ).

thf(func_def_1317,type,
    sK389: real > ( real > nat > real ) > ( real > nat > real ) > nat ).

thf(func_def_1318,type,
    sK390: real > ( real > nat > real ) > real > real ).

thf(func_def_1319,type,
    sK391: ( rat > rat ) > rat ).

thf(func_def_1320,type,
    sK392: ( rat > rat ) > rat ).

thf(func_def_1321,type,
    sK393: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1322,type,
    sK394: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_1323,type,
    sK395: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1324,type,
    sK396: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1325,type,
    sK397: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1326,type,
    sK398: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1327,type,
    sK399: set_int > ( int > nat ) > ( int > nat ) > int ).

thf(func_def_1328,type,
    sK400: int > set_int > int > int ).

thf(func_def_1329,type,
    sK401: int > set_int > int > int ).

thf(func_def_1330,type,
    sK402: vEBT_VEBT > nat > nat ).

thf(func_def_1331,type,
    sK403: produc9072475918466114483BT_nat > nat ).

thf(func_def_1332,type,
    sK404: produc9072475918466114483BT_nat > nat ).

thf(func_def_1333,type,
    sK405: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1334,type,
    sK406: produc9072475918466114483BT_nat > nat ).

thf(func_def_1335,type,
    sK407: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1336,type,
    sK408: produc9072475918466114483BT_nat > nat ).

thf(func_def_1337,type,
    sK409: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_1338,type,
    sK410: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1339,type,
    sK411: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1340,type,
    sK412: produc9072475918466114483BT_nat > nat ).

thf(func_def_1341,type,
    sK413: produc9072475918466114483BT_nat > nat ).

thf(func_def_1342,type,
    sK414: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_1343,type,
    sK415: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1344,type,
    sK416: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1345,type,
    sK417: produc9072475918466114483BT_nat > nat ).

thf(func_def_1346,type,
    sK418: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1347,type,
    sK419: produc9072475918466114483BT_nat > nat ).

thf(func_def_1348,type,
    sK420: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1349,type,
    sK421: produc9072475918466114483BT_nat > nat ).

thf(func_def_1350,type,
    sK422: produc9072475918466114483BT_nat > $o ).

thf(func_def_1351,type,
    sK423: produc9072475918466114483BT_nat > $o ).

thf(func_def_1352,type,
    sK424: option_nat > vEBT_VEBT > $o ).

thf(func_def_1353,type,
    sK425: option_nat > vEBT_VEBT > $o ).

thf(func_def_1354,type,
    sK426: vEBT_VEBT > option_nat > nat ).

thf(func_def_1355,type,
    sK427: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_1356,type,
    sK428: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_1357,type,
    sK429: vEBT_VEBT > option_nat > nat ).

thf(func_def_1358,type,
    sK430: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_1359,type,
    sK431: vEBT_VEBT > option_nat > nat ).

thf(func_def_1360,type,
    sK432: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_1361,type,
    sK433: vEBT_VEBT > option_nat > nat ).

thf(func_def_1362,type,
    sK434: rat > rat > nat ).

thf(func_def_1363,type,
    sK435: ( real > real ) > ( nat > real ) > real > nat > real ).

thf(func_def_1364,type,
    sK436: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > nat ).

thf(func_def_1365,type,
    sK437: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > num ).

thf(func_def_1366,type,
    sK438: option_num > num > num > num ).

thf(func_def_1367,type,
    sK439: option_num > num > num > num ).

thf(func_def_1368,type,
    sK440: num > num > option_num > num ).

thf(func_def_1369,type,
    sK441: num > num > option_num > num ).

thf(func_def_1370,type,
    sK442: num > option_num > num ).

thf(func_def_1371,type,
    sK443: num > option_num > num ).

thf(func_def_1372,type,
    sK444: num > num > option_num > num ).

thf(func_def_1373,type,
    sK445: num > num > option_num > num ).

thf(func_def_1374,type,
    sK446: num > num > option_num > num ).

thf(func_def_1375,type,
    sK447: option_num > num > num > num ).

thf(func_def_1376,type,
    sK448: option_num > num > num > num ).

thf(func_def_1377,type,
    sK449: option_num > num > num > num ).

thf(func_def_1378,type,
    sK450: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_1379,type,
    sK451: set_complex > ( complex > int ) > set_complex > complex ).

thf(func_def_1380,type,
    sK452: ( rat > real ) > rat ).

thf(func_def_1381,type,
    sK453: ( rat > real ) > rat ).

thf(func_def_1382,type,
    sK454: ( nat > real ) > nat ).

thf(func_def_1383,type,
    sK455: num > num ).

thf(func_def_1384,type,
    sK456: ( nat > int ) > int > nat > nat ).

thf(func_def_1385,type,
    sK457: ( nat > int ) > nat > nat ).

thf(func_def_1386,type,
    sK458: ( real > real ) > real ).

thf(func_def_1387,type,
    sK459: ( real > real ) > real ).

thf(func_def_1388,type,
    sK460: int > int ).

thf(func_def_1389,type,
    sK461: ( nat > nat ) > nat ).

thf(func_def_1390,type,
    sK462: option_num > num ).

thf(func_def_1391,type,
    sK463: ( nat > num ) > ( set_nat > $o ) > nat ).

thf(func_def_1392,type,
    sK464: ( nat > num ) > ( set_nat > $o ) > set_nat ).

thf(func_def_1393,type,
    sK465: ( real > int ) > real ).

thf(func_def_1394,type,
    sK466: ( real > int ) > real ).

thf(func_def_1395,type,
    sK467: set_real > ( set_real > $o ) > set_real ).

thf(func_def_1396,type,
    sK468: set_int > ( int > nat ) > int ).

thf(func_def_1397,type,
    sK469: set_rat > rat ).

thf(func_def_1398,type,
    sK470: ( nat > nat > $o ) > nat ).

thf(func_def_1399,type,
    sK471: ( nat > nat > $o ) > nat ).

thf(func_def_1400,type,
    sK472: ( nat > nat > $o ) > nat ).

thf(func_def_1401,type,
    sK473: ( nat > nat > $o ) > nat ).

thf(func_def_1402,type,
    sK474: real > real ).

thf(func_def_1403,type,
    sK475: set_real > ( real > real ) > real ).

thf(func_def_1404,type,
    sK476: set_real > ( real > real ) > real > real > real ).

thf(func_def_1405,type,
    sK477: ( real > int ) > real ).

thf(func_def_1406,type,
    sK478: ( real > int ) > real ).

thf(func_def_1407,type,
    sK479: rat > rat ).

thf(func_def_1408,type,
    sK480: ( real > real ) > set_real > real > real ).

thf(func_def_1409,type,
    sK481: rat > rat > rat ).

thf(func_def_1410,type,
    sK482: ( num > real ) > num ).

thf(func_def_1411,type,
    sK483: ( num > real ) > num ).

thf(func_def_1412,type,
    sK484: ( rat > $o ) > rat > rat ).

thf(func_def_1413,type,
    sK485: ( rat > $o ) > rat > rat ).

thf(func_def_1414,type,
    sK486: ( rat > $o ) > rat > rat ).

thf(func_def_1415,type,
    sK487: ( rat > $o ) > rat > rat ).

thf(func_def_1416,type,
    sK488: set_real > ( real > int ) > set_real > real ).

thf(func_def_1417,type,
    sK489: set_real > set_real > ( real > int ) > real ).

thf(func_def_1418,type,
    sK490: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_1419,type,
    sK491: real > real > ( real > real ) > real ).

thf(func_def_1420,type,
    sK492: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_1421,type,
    sK493: real > ( real > real ) > real > ( real > real ) > ( real > real ) > ( real > real ) > real ).

thf(func_def_1422,type,
    sK494: real > real > ( real > real ) > real ).

thf(func_def_1423,type,
    sK495: ( real > nat ) > real ).

thf(func_def_1424,type,
    sK496: ( real > nat ) > real ).

thf(func_def_1425,type,
    sK497: ( rat > int ) > rat ).

thf(func_def_1426,type,
    sK498: ( rat > int ) > rat ).

thf(func_def_1427,type,
    sK499: ( nat > real ) > nat ).

thf(func_def_1428,type,
    sK500: ( nat > real ) > nat ).

thf(func_def_1429,type,
    sK501: real > real ).

thf(func_def_1430,type,
    sK502: nat > ( nat > $o > $o ) > $o ).

thf(func_def_1431,type,
    sK503: list_o > nat > ( nat > $o > $o ) > nat ).

thf(func_def_1432,type,
    sK504: nat > ( nat > $o > $o ) > list_o ).

thf(func_def_1433,type,
    sK505: nat > ( nat > $o > $o ) > nat ).

thf(func_def_1434,type,
    sK506: nat > ( vEBT_VEBT > $o ) > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1435,type,
    sK507: ( product_prod_int_int > $o ) > int ).

thf(func_def_1436,type,
    sK508: ( product_prod_int_int > $o ) > int ).

thf(func_def_1437,type,
    sK509: complex > real ).

thf(func_def_1438,type,
    sK510: rat > int ).

thf(func_def_1439,type,
    sK511: set_real > ( real > rat ) > real ).

thf(func_def_1440,type,
    sK512: real > real > real ).

thf(func_def_1441,type,
    sK513: ( rat > num ) > rat ).

thf(func_def_1442,type,
    sK514: ( rat > num ) > rat ).

thf(func_def_1443,type,
    sK515: real > ( real > real ) > real ).

thf(func_def_1444,type,
    sK516: real > int ).

thf(func_def_1445,type,
    sK517: real ).

thf(func_def_1446,type,
    sK518: ( set_nat > $o ) > set_nat ).

thf(func_def_1447,type,
    sK519: ( nat > nat ) > nat > nat ).

thf(func_def_1448,type,
    sK520: nat > ( nat > nat ) > nat ).

thf(func_def_1449,type,
    sK521: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1450,type,
    sK522: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_1451,type,
    sK523: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1452,type,
    sK524: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_1453,type,
    sK525: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1454,type,
    sK526: vEBT_VEBT > $o ).

thf(func_def_1455,type,
    sK527: vEBT_VEBT > $o ).

thf(func_def_1456,type,
    sK528: nat > nat ).

thf(func_def_1457,type,
    sK529: vEBT_VEBT > $o ).

thf(func_def_1458,type,
    sK530: vEBT_VEBT > $o ).

thf(func_def_1459,type,
    sK531: vEBT_VEBT > $o ).

thf(func_def_1460,type,
    sK532: vEBT_VEBT > $o ).

thf(func_def_1461,type,
    sK533: vEBT_VEBT > nat ).

thf(func_def_1462,type,
    sK534: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1463,type,
    sK535: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1464,type,
    sK536: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1465,type,
    sK537: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1466,type,
    sK538: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1467,type,
    sK539: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1468,type,
    sK540: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1469,type,
    sK541: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1470,type,
    sK542: ( rat > num ) > rat ).

thf(func_def_1471,type,
    sK543: ( rat > num ) > rat ).

thf(func_def_1472,type,
    sK544: set_complex > set_complex > ( complex > nat ) > complex ).

thf(func_def_1473,type,
    sK545: real > int ).

thf(func_def_1474,type,
    sK546: ( rat > rat ) > rat ).

thf(func_def_1475,type,
    sK547: ( rat > rat ) > rat ).

thf(func_def_1476,type,
    sK548: ( real > real > $o ) > real ).

thf(func_def_1477,type,
    sK549: ( real > real > $o ) > real ).

thf(func_def_1478,type,
    sK550: ( real > real > $o ) > real ).

thf(func_def_1479,type,
    sK551: ( real > real > $o ) > real ).

thf(func_def_1480,type,
    sK552: ( real > real > $o ) > real ).

thf(func_def_1481,type,
    sK553: nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_1482,type,
    sK554: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1483,type,
    sK555: ( complex > complex ) > ( complex > real ) > set_complex > complex ).

thf(func_def_1484,type,
    sK556: set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_1485,type,
    sK557: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_1486,type,
    sK558: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1487,type,
    sK559: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1488,type,
    sK560: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1489,type,
    sK561: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_1490,type,
    sK562: vEBT_VEBT > $o ).

thf(func_def_1491,type,
    sK563: vEBT_VEBT > $o ).

thf(func_def_1492,type,
    sK564: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1493,type,
    sK565: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1494,type,
    sK566: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1495,type,
    sK567: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1496,type,
    sK568: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1497,type,
    sK569: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1498,type,
    sK570: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1499,type,
    sK571: vEBT_VEBT > nat ).

thf(func_def_1500,type,
    sK572: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1501,type,
    sK573: int > nat ).

thf(func_def_1502,type,
    sK574: ( rat > rat ) > rat ).

thf(func_def_1503,type,
    sK575: ( rat > rat ) > rat ).

thf(func_def_1504,type,
    sK576: option_num > ( option_num > option_nat > $o ) > option_nat > num ).

thf(func_def_1505,type,
    sK577: option_num > ( option_num > option_nat > $o ) > option_nat > nat ).

thf(func_def_1506,type,
    sK578: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1507,type,
    sK579: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1508,type,
    sK580: product_prod_num_num > ( num > num > $o ) > num ).

thf(func_def_1509,type,
    sK581: product_prod_num_num > ( num > num > $o ) > num ).

thf(func_def_1510,type,
    sK582: ( real > real ) > ( real > complex ) > set_real > real ).

thf(func_def_1511,type,
    sK583: set_real > set_real > ( real > complex ) > real ).

thf(func_def_1512,type,
    sK584: set_real > ( real > complex ) > ( real > complex ) > real ).

thf(func_def_1513,type,
    sK585: code_integer > code_integer > ( real > code_integer ) > set_real > real ).

thf(func_def_1514,type,
    sK586: ( real > code_integer ) > set_real > real ).

thf(func_def_1515,type,
    sK587: ( nat > num ) > nat ).

thf(func_def_1516,type,
    sK588: ( nat > num ) > nat ).

thf(func_def_1517,type,
    sK589: ( nat > real ) > nat ).

thf(func_def_1518,type,
    sK590: ( nat > real ) > nat ).

thf(func_def_1519,type,
    sK591: ( num > num > set_complex ) > product_prod_num_num > complex > num ).

thf(func_def_1520,type,
    sK592: ( num > num > set_complex ) > product_prod_num_num > complex > num ).

thf(func_def_1521,type,
    sK593: set_complex > ( complex > int ) > ( complex > int ) > complex ).

thf(func_def_1522,type,
    sK594: set_complex > ( complex > int ) > set_complex > complex ).

thf(func_def_1523,type,
    sK595: nat > nat > nat ).

thf(func_def_1524,type,
    sK596: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_1525,type,
    sK597: ( num > int ) > num ).

thf(func_def_1526,type,
    sK598: ( num > int ) > num ).

thf(func_def_1527,type,
    sK599: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_1528,type,
    sK600: ( nat > nat > $o ) > nat ).

thf(func_def_1529,type,
    sK601: ( nat > nat > $o ) > nat ).

thf(func_def_1530,type,
    sK602: ( nat > nat > $o ) > nat ).

thf(func_def_1531,type,
    sK603: ( nat > nat > $o ) > nat ).

thf(func_def_1532,type,
    sK604: ( nat > nat > $o ) > nat ).

thf(func_def_1533,type,
    sK605: ( int > $o ) > int > int > int ).

thf(func_def_1534,type,
    sK606: ( int > $o ) > int > int > int ).

thf(func_def_1535,type,
    sK607: int > int > ( int > $o ) > int ).

thf(func_def_1536,type,
    sK608: int > int > ( int > $o ) > int ).

thf(func_def_1537,type,
    sK609: ( num > num > $o ) > num ).

thf(func_def_1538,type,
    sK610: ( num > num > $o ) > num ).

thf(func_def_1539,type,
    sK611: ( num > num > $o ) > num ).

thf(func_def_1540,type,
    sK612: ( num > num > $o ) > num ).

thf(func_def_1541,type,
    sK613: int > int ).

thf(func_def_1542,type,
    sK614: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1543,type,
    sK615: nat > nat ).

thf(func_def_1544,type,
    sK616: ( nat > nat ) > nat ).

thf(func_def_1545,type,
    sK617: ( nat > nat ) > nat ).

thf(func_def_1546,type,
    sK618: vEBT_VEBT > nat ).

thf(func_def_1547,type,
    sK619: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1548,type,
    sK620: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1549,type,
    sK621: ( rat > real ) > rat ).

thf(func_def_1550,type,
    sK622: ( rat > real ) > rat ).

thf(func_def_1551,type,
    sK623: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_1552,type,
    sK624: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_1553,type,
    sK625: real > nat ).

thf(func_def_1554,type,
    sK626: ( int > $o ) > int > int ).

thf(func_def_1555,type,
    sK627: set_nat > ( nat > rat ) > nat ).

thf(func_def_1556,type,
    sK628: rat > set_nat > rat > ( nat > rat ) > nat ).

thf(func_def_1557,type,
    sK629: code_integer > code_integer > code_integer ).

thf(func_def_1558,type,
    sK630: product_prod_nat_nat > ( nat > nat > $o ) > nat ).

thf(func_def_1559,type,
    sK631: product_prod_nat_nat > ( nat > nat > $o ) > nat ).

thf(func_def_1560,type,
    sK632: ( rat > rat > $o ) > rat ).

thf(func_def_1561,type,
    sK633: ( rat > rat > $o ) > rat ).

thf(func_def_1562,type,
    sK634: ( rat > rat > $o ) > rat ).

thf(func_def_1563,type,
    sK635: ( rat > rat > $o ) > rat ).

thf(func_def_1564,type,
    sK636: ( rat > rat > $o ) > rat ).

thf(func_def_1565,type,
    sK637: nat > nat > nat ).

thf(func_def_1566,type,
    sK638: ( rat > num ) > rat ).

thf(func_def_1567,type,
    sK639: ( rat > num ) > rat ).

thf(func_def_1568,type,
    sK640: nat > nat > nat ).

thf(func_def_1569,type,
    sK641: rat > rat > rat ).

thf(func_def_1570,type,
    sK642: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1571,type,
    sK643: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1572,type,
    sK644: vEBT_VEBT > nat ).

thf(func_def_1573,type,
    sK645: option_nat > vEBT_VEBT > nat ).

thf(func_def_1574,type,
    sK646: option_nat > vEBT_VEBT > nat ).

thf(func_def_1575,type,
    sK647: option_nat > vEBT_VEBT > nat ).

thf(func_def_1576,type,
    sK648: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1577,type,
    sK649: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1578,type,
    sK650: option_nat > vEBT_VEBT > $o ).

thf(func_def_1579,type,
    sK651: option_nat > vEBT_VEBT > $o ).

thf(func_def_1580,type,
    sK652: ( code_integer > $o > set_complex ) > complex > produc6271795597528267376eger_o > $o ).

thf(func_def_1581,type,
    sK653: ( code_integer > $o > set_complex ) > complex > produc6271795597528267376eger_o > code_integer ).

thf(func_def_1582,type,
    sK654: ( produc6271795597528267376eger_o > $o ) > $o ).

thf(func_def_1583,type,
    sK655: ( produc6271795597528267376eger_o > $o ) > code_integer ).

thf(func_def_1584,type,
    sK656: rat > rat ).

thf(func_def_1585,type,
    sK657: ( set_int > $o ) > set_int ).

thf(func_def_1586,type,
    sK658: ( set_int > $o ) > int ).

thf(func_def_1587,type,
    sK659: set_complex > ( complex > nat ) > complex ).

thf(func_def_1588,type,
    sK660: set_nat > ( nat > nat ) > nat ).

thf(func_def_1589,type,
    sK661: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_1590,type,
    sK662: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_1591,type,
    sK663: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_1592,type,
    sK664: ( nat > nat > $o ) > nat ).

thf(func_def_1593,type,
    sK665: ( nat > nat > $o ) > nat ).

thf(func_def_1594,type,
    sK666: ( nat > nat > $o ) > nat ).

thf(func_def_1595,type,
    sK667: ( nat > nat > $o ) > nat ).

thf(func_def_1596,type,
    sK668: ( int > nat ) > set_int > ( int > nat ) > ( nat > nat > $o ) > int ).

thf(func_def_1597,type,
    sK669: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_1598,type,
    sK670: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_1599,type,
    sK671: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_1600,type,
    sK672: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_1601,type,
    sK673: rat > rat ).

thf(func_def_1602,type,
    sK674: ( int > rat ) > set_int > int ).

thf(func_def_1603,type,
    sK675: real > real ).

thf(func_def_1604,type,
    sK676: nat > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1605,type,
    sK677: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1606,type,
    sK678: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1607,type,
    sK679: nat > vEBT_VEBT > nat > nat ).

thf(func_def_1608,type,
    sK680: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1609,type,
    sK681: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1610,type,
    sK682: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1611,type,
    sK683: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_1612,type,
    sK684: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_1613,type,
    sK685: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1614,type,
    sK686: vEBT_VEBT > nat > nat > nat ).

thf(func_def_1615,type,
    sK687: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1616,type,
    sK688: nat > nat > vEBT_VEBT > $o ).

thf(func_def_1617,type,
    sK689: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1618,type,
    sK690: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1619,type,
    sK691: nat > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1620,type,
    sK692: vEBT_VEBT > nat > $o ).

thf(func_def_1621,type,
    sK693: vEBT_VEBT > nat > $o ).

thf(func_def_1622,type,
    sK694: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1623,type,
    sK695: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1624,type,
    sK696: nat > vEBT_VEBT > nat ).

thf(func_def_1625,type,
    sK697: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1626,type,
    sK698: nat > vEBT_VEBT > nat ).

thf(func_def_1627,type,
    sK699: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1628,type,
    sK700: nat > vEBT_VEBT > nat ).

thf(func_def_1629,type,
    sK701: nat > vEBT_VEBT > nat ).

thf(func_def_1630,type,
    sK702: nat > vEBT_VEBT > nat ).

thf(func_def_1631,type,
    sK703: ( rat > num ) > rat ).

thf(func_def_1632,type,
    sK704: ( rat > num ) > rat ).

thf(func_def_1633,type,
    sK705: rat > rat ).

thf(func_def_1634,type,
    sK706: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1635,type,
    sK707: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1636,type,
    sK708: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1637,type,
    sK709: set_complex > ( complex > rat ) > ( complex > rat ) > complex ).

thf(func_def_1638,type,
    sK710: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1639,type,
    sK711: int > int > product_prod_int_int > int ).

thf(func_def_1640,type,
    sK712: int > int > product_prod_int_int > int ).

thf(func_def_1641,type,
    sK713: int > int > product_prod_int_int > int ).

thf(func_def_1642,type,
    sK714: ( complex > $o ) > complex > complex ).

thf(func_def_1643,type,
    sK715: ( complex > $o ) > complex > complex ).

thf(func_def_1644,type,
    sK716: complex > ( complex > $o ) > complex ).

thf(func_def_1645,type,
    sK717: complex > ( complex > $o ) > complex ).

thf(func_def_1646,type,
    sK718: produc6271795597528267376eger_o > ( code_integer > $o > $o ) > code_integer ).

thf(func_def_1647,type,
    sK719: produc6271795597528267376eger_o > ( code_integer > $o > $o ) > $o ).

thf(func_def_1648,type,
    sK720: vEBT_VEBT > nat ).

thf(func_def_1649,type,
    sK721: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1650,type,
    sK722: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1651,type,
    sK723: option_nat > vEBT_VEBT > $o ).

thf(func_def_1652,type,
    sK724: option_nat > vEBT_VEBT > $o ).

thf(func_def_1653,type,
    sK725: option_nat > vEBT_VEBT > nat ).

thf(func_def_1654,type,
    sK726: option_nat > vEBT_VEBT > nat ).

thf(func_def_1655,type,
    sK727: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1656,type,
    sK728: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1657,type,
    sK729: option_nat > vEBT_VEBT > nat ).

thf(func_def_1658,type,
    sK730: ( int > $o ) > rat > int ).

thf(func_def_1659,type,
    sK731: set_complex > ( complex > nat ) > complex ).

thf(func_def_1660,type,
    sK732: ( list_nat > $o ) > ( list_nat > list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1661,type,
    sK733: ( list_nat > list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1662,type,
    sK734: ( list_nat > list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1663,type,
    sK735: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_1664,type,
    sK736: set_complex > ( complex > real ) > set_complex > complex ).

thf(func_def_1665,type,
    sK737: real > real ).

thf(func_def_1666,type,
    sK738: ( nat > rat ) > nat ).

thf(func_def_1667,type,
    sK739: produc3368934014287244435at_num > nat > num > num ).

thf(func_def_1668,type,
    sK740: produc3368934014287244435at_num > num ).

thf(func_def_1669,type,
    sK741: produc3368934014287244435at_num > nat ).

thf(func_def_1670,type,
    sK742: produc3368934014287244435at_num > nat ).

thf(func_def_1671,type,
    sK743: real > int ).

thf(func_def_1672,type,
    sK744: set_complex > set_complex > ( real > complex ) > ( complex > real ) > complex ).

thf(func_def_1673,type,
    sK745: ( real > complex ) > set_complex > set_complex > set_real > set_real > real ).

thf(func_def_1674,type,
    sK746: set_real > ( complex > real ) > ( real > complex ) > ( real > real ) > real ).

thf(func_def_1675,type,
    sK747: set_complex > ( complex > real ) > complex ).

thf(func_def_1676,type,
    sK748: set_complex > set_complex > set_real > ( complex > real ) > set_real > complex ).

thf(func_def_1677,type,
    sK749: set_real > ( complex > real ) > set_real > ( real > complex ) > real ).

thf(func_def_1678,type,
    sK750: set_real > ( real > real ) > real ).

thf(func_def_1679,type,
    sK751: num > num > num > num ).

thf(func_def_1680,type,
    sK752: num > num > num > num ).

thf(func_def_1681,type,
    sK753: num > num > num > num ).

thf(func_def_1682,type,
    sK754: num > num > num > num ).

thf(func_def_1683,type,
    sK755: num > num > num > num ).

thf(func_def_1684,type,
    sK756: num > num > num > num ).

thf(func_def_1685,type,
    sK757: num > num > num ).

thf(func_def_1686,type,
    sK758: num > num > num ).

thf(func_def_1687,type,
    sK759: num > num > num > num ).

thf(func_def_1688,type,
    sK760: num > num > num > num ).

thf(func_def_1689,type,
    sK761: num > num > num > num ).

thf(func_def_1690,type,
    sK762: num > num > num > num ).

thf(func_def_1691,type,
    sK763: real > ( real > real ) > real > real ).

thf(func_def_1692,type,
    sK764: ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > product_prod_nat_nat > nat ).

thf(func_def_1693,type,
    sK765: ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > product_prod_nat_nat > nat ).

thf(func_def_1694,type,
    sK766: set_complex > ( complex > code_integer ) > complex ).

thf(func_def_1695,type,
    sK767: set_complex > ( complex > code_integer ) > code_integer > code_integer > complex ).

thf(func_def_1696,type,
    sK768: set_real > set_real > ( real > int ) > real ).

thf(func_def_1697,type,
    sK769: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1698,type,
    sK770: nat > nat ).

thf(func_def_1699,type,
    sK771: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1700,type,
    sK772: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1701,type,
    sK773: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1702,type,
    sK774: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > num ).

thf(func_def_1703,type,
    sK775: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > product_prod_nat_nat ).

thf(func_def_1704,type,
    sK776: int > int > set_int > int ).

thf(func_def_1705,type,
    sK777: int > int > set_int > int ).

thf(func_def_1706,type,
    sK778: int > nat ).

thf(func_def_1707,type,
    sK779: real > real > real > real ).

thf(func_def_1708,type,
    sK780: ( real > nat ) > real ).

thf(func_def_1709,type,
    sK781: ( real > nat ) > real ).

thf(func_def_1710,type,
    sK782: set_complex > set_complex > complex ).

thf(func_def_1711,type,
    sK783: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1712,type,
    sK784: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1713,type,
    sK785: nat > vEBT_VEBT > nat ).

thf(func_def_1714,type,
    sK786: nat > vEBT_VEBT > $o ).

thf(func_def_1715,type,
    sK787: nat > vEBT_VEBT > $o ).

thf(func_def_1716,type,
    sK788: nat > vEBT_VEBT > nat ).

thf(func_def_1717,type,
    sK789: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1718,type,
    sK790: nat > vEBT_VEBT > nat ).

thf(func_def_1719,type,
    sK791: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1720,type,
    sK792: nat > vEBT_VEBT > nat ).

thf(func_def_1721,type,
    sK793: ( nat > nat ) > nat ).

thf(func_def_1722,type,
    sK794: ( real > rat ) > real ).

thf(func_def_1723,type,
    sK795: ( real > rat ) > real ).

thf(func_def_1724,type,
    sK796: rat > nat ).

thf(func_def_1725,type,
    sK797: nat > nat > nat > nat ).

thf(func_def_1726,type,
    sK798: nat > nat ).

thf(func_def_1727,type,
    sK799: ( nat > real ) > real ).

thf(func_def_1728,type,
    sK800: nat > ( nat > real ) > nat ).

thf(func_def_1729,type,
    sK801: int > nat ).

thf(func_def_1730,type,
    sK802: int > nat ).

thf(func_def_1731,type,
    sK803: real > real > real ).

thf(func_def_1732,type,
    sK804: ( nat > nat > $o ) > nat ).

thf(func_def_1733,type,
    sK805: ( nat > nat > $o ) > nat ).

thf(func_def_1734,type,
    sK806: ( nat > nat > $o ) > nat ).

thf(func_def_1735,type,
    sK807: ( nat > nat > $o ) > nat ).

thf(func_def_1736,type,
    sK808: nat > $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1737,type,
    sK809: nat > $o > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1738,type,
    sK810: nat > $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1739,type,
    sK811: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1740,type,
    sK812: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1741,type,
    sK813: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1742,type,
    sK814: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1743,type,
    sK815: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1744,type,
    sK816: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1745,type,
    sK817: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1746,type,
    sK818: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1747,type,
    sK819: $o > nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1748,type,
    sK820: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1749,type,
    sK821: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1750,type,
    sK822: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1751,type,
    sK823: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1752,type,
    sK824: ( nat > $o ) > nat ).

thf(func_def_1753,type,
    sK825: set_real > ( real > int ) > ( real > int ) > real ).

thf(func_def_1754,type,
    sK826: vEBT_VEBT > $o ).

thf(func_def_1755,type,
    sK827: vEBT_VEBT > $o ).

thf(func_def_1756,type,
    sK828: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1757,type,
    sK829: vEBT_VEBT > nat ).

thf(func_def_1758,type,
    sK830: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1759,type,
    sK831: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1760,type,
    sK832: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int ).

thf(func_def_1761,type,
    sK833: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int ).

thf(func_def_1762,type,
    sK834: ( nat > $o ) > nat ).

thf(func_def_1763,type,
    sK835: nat > ( nat > $o ) > nat ).

thf(func_def_1764,type,
    sK836: nat > real > ( nat > real > real ) > nat ).

thf(func_def_1765,type,
    sK837: nat > real > ( nat > real > real ) > real ).

thf(func_def_1766,type,
    sK838: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_1767,type,
    sK839: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1768,type,
    sK840: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1769,type,
    sK841: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1770,type,
    sK842: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_1771,type,
    sK843: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1772,type,
    sK844: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1773,type,
    sK845: ( real > real ) > set_real > real ).

thf(func_def_1774,type,
    sK846: ( real > real ) > set_real > real ).

thf(func_def_1775,type,
    sK847: nat > nat > nat ).

thf(func_def_1776,type,
    sK848: nat > ( nat > $o ) > nat ).

thf(func_def_1777,type,
    sK849: nat > nat > nat ).

thf(func_def_1778,type,
    sK850: ( int > rat ) > set_int > int ).

thf(func_def_1779,type,
    sK851: real > real ).

thf(func_def_1780,type,
    sK852: ( nat > real ) > nat > nat ).

thf(func_def_1781,type,
    sK853: int > set_int > int > int ).

thf(func_def_1782,type,
    sK854: int > set_int > int > int ).

thf(func_def_1783,type,
    sK855: ( nat > real > real ) > nat > ( real > real ) > real > real > real ).

thf(func_def_1784,type,
    sK856: real > real > ( nat > real > real ) > nat > nat ).

thf(func_def_1785,type,
    sK857: real > real > ( nat > real > real ) > nat > real ).

thf(func_def_1786,type,
    sK858: nat > list_o ).

thf(func_def_1787,type,
    sK859: set_complex > ( complex > rat ) > complex ).

thf(func_def_1788,type,
    sK860: complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_1789,type,
    sK861: ( complex > nat ) > set_complex > complex ).

thf(func_def_1790,type,
    sK862: set_complex > ( complex > nat ) > complex ).

thf(func_def_1791,type,
    sK863: set_complex > ( complex > real ) > complex ).

thf(func_def_1792,type,
    sK864: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1793,type,
    sK865: set_list_nat > nat ).

thf(func_def_1794,type,
    sK866: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1795,type,
    sK867: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1796,type,
    sK868: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1797,type,
    sK869: ( real > real ) > real ).

thf(func_def_1798,type,
    sK870: ( real > real ) > real ).

thf(func_def_1799,type,
    sK871: set_VEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1800,type,
    sK872: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1801,type,
    sK873: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1802,type,
    sK874: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1803,type,
    sK875: real > ( real > real ) > real ).

thf(func_def_1804,type,
    sK876: ( nat > num > set_complex ) > complex > product_prod_nat_num > num ).

thf(func_def_1805,type,
    sK877: ( nat > num > set_complex ) > complex > product_prod_nat_num > nat ).

thf(func_def_1806,type,
    sK878: ( nat > $o ) > nat > nat ).

thf(func_def_1807,type,
    sK879: ( nat > $o ) > nat > nat ).

thf(func_def_1808,type,
    sK880: ( nat > num ) > nat ).

thf(func_def_1809,type,
    sK881: vEBT_VEBT > $o ).

thf(func_def_1810,type,
    sK882: vEBT_VEBT > $o ).

thf(func_def_1811,type,
    sK883: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1812,type,
    sK884: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1813,type,
    sK885: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1814,type,
    sK886: vEBT_VEBT > nat ).

thf(func_def_1815,type,
    sK887: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1816,type,
    sK888: vEBT_VEBT > nat ).

thf(func_def_1817,type,
    sK889: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1818,type,
    sK890: set_list_VEBT_VEBT > nat ).

thf(func_def_1819,type,
    sK891: nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_1820,type,
    sK892: set_nat > ( nat > nat ) > nat ).

thf(func_def_1821,type,
    sK893: nat > vEBT_VEBT > nat ).

thf(func_def_1822,type,
    sK894: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1823,type,
    sK895: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1824,type,
    sK896: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1825,type,
    sK897: vEBT_VEBT > nat > $o ).

thf(func_def_1826,type,
    sK898: vEBT_VEBT > nat > $o ).

thf(func_def_1827,type,
    sK899: ( num > num > $o ) > num ).

thf(func_def_1828,type,
    sK900: ( num > num > $o ) > num ).

thf(func_def_1829,type,
    sK901: ( num > num > $o ) > num ).

thf(func_def_1830,type,
    sK902: ( num > num > $o ) > num ).

thf(func_def_1831,type,
    sK903: ( num > num > $o ) > num ).

thf(func_def_1832,type,
    sK904: ( int > num ) > ( set_int > $o ) > set_int ).

thf(func_def_1833,type,
    sK905: ( int > num ) > ( set_int > $o ) > int ).

thf(func_def_1834,type,
    sK906: ( num > nat ) > num ).

thf(func_def_1835,type,
    sK907: ( num > nat ) > num ).

thf(func_def_1836,type,
    sK908: code_integer > code_integer ).

thf(func_def_1837,type,
    sK909: nat > nat > nat ).

thf(func_def_1838,type,
    sK910: set_list_int > nat ).

thf(func_def_1839,type,
    sK911: $o > vEBT_VEBT > $o ).

thf(func_def_1840,type,
    sK912: $o > vEBT_VEBT > $o ).

thf(func_def_1841,type,
    sK913: vEBT_VEBT > $o > list_VEBT_VEBT ).

thf(func_def_1842,type,
    sK914: vEBT_VEBT > $o > vEBT_VEBT ).

thf(func_def_1843,type,
    sK915: vEBT_VEBT > $o > nat ).

thf(func_def_1844,type,
    sK916: vEBT_VEBT > $o > list_VEBT_VEBT ).

thf(func_def_1845,type,
    sK917: vEBT_VEBT > $o > product_prod_nat_nat ).

thf(func_def_1846,type,
    sK918: vEBT_VEBT > $o > vEBT_VEBT ).

thf(func_def_1847,type,
    sK919: vEBT_VEBT > $o > nat ).

thf(func_def_1848,type,
    sK920: real > set_real > real ).

thf(func_def_1849,type,
    sK921: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1850,type,
    sK922: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1851,type,
    sK923: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1852,type,
    sK924: set_complex > ( complex > int ) > ( complex > int ) > complex ).

thf(func_def_1853,type,
    sK925: set_nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1854,type,
    sK926: ( set_num > $o ) > num ).

thf(func_def_1855,type,
    sK927: ( set_num > $o ) > set_num ).

thf(func_def_1856,type,
    sK928: ( $o > $o ) > list_o > $o ).

thf(func_def_1857,type,
    sK929: ( real > real ) > real > nat > ( nat > real > real ) > real ).

thf(func_def_1858,type,
    sK930: ( nat > real > real ) > nat ).

thf(func_def_1859,type,
    sK931: ( nat > real > real ) > real ).

thf(func_def_1860,type,
    sK932: list_nat > list_nat > nat ).

thf(func_def_1861,type,
    sK933: ( nat > rat ) > set_nat > nat ).

thf(func_def_1862,type,
    sK934: ( nat > num ) > nat ).

thf(func_def_1863,type,
    sK935: ( nat > num ) > nat ).

thf(func_def_1864,type,
    sK936: int > int > set_int > int ).

thf(func_def_1865,type,
    sK937: int > int > set_int > int ).

thf(func_def_1866,type,
    sK938: ( real > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_1867,type,
    sK939: ( int > real ) > ( real > int ) > set_real > set_real > real ).

thf(func_def_1868,type,
    sK940: ( real > int ) > set_int > set_int > set_real > set_real > real ).

thf(func_def_1869,type,
    sK941: ( int > complex ) > set_int > int ).

thf(func_def_1870,type,
    sK942: set_real > set_int > set_int > set_real > ( int > real ) > int ).

thf(func_def_1871,type,
    sK943: ( real > complex ) > set_int > ( int > complex ) > ( int > real ) > int ).

thf(func_def_1872,type,
    sK944: ( real > complex ) > set_real > real ).

thf(func_def_1873,type,
    sK945: ( list_o > $o ) > list_o ).

thf(func_def_1874,type,
    sK946: set_int > set_int > int ).

thf(func_def_1875,type,
    sK947: produc9072475918466114483BT_nat > nat ).

thf(func_def_1876,type,
    sK948: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_1877,type,
    sK949: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1878,type,
    sK950: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1879,type,
    sK951: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_1880,type,
    sK952: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1881,type,
    sK953: produc9072475918466114483BT_nat > nat ).

thf(func_def_1882,type,
    sK954: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1883,type,
    sK955: produc9072475918466114483BT_nat > nat ).

thf(func_def_1884,type,
    sK956: produc9072475918466114483BT_nat > $o ).

thf(func_def_1885,type,
    sK957: produc9072475918466114483BT_nat > nat ).

thf(func_def_1886,type,
    sK958: produc9072475918466114483BT_nat > $o ).

thf(func_def_1887,type,
    sK959: ( real > real ) > real > real ).

thf(func_def_1888,type,
    sK960: ( real > rat ) > set_real > set_real > real ).

thf(func_def_1889,type,
    sK961: set_real > ( real > rat ) > set_real > real ).

thf(func_def_1890,type,
    sK962: set_Pr448751882837621926eger_o > set_Pr448751882837621926eger_o > code_integer ).

thf(func_def_1891,type,
    sK963: set_Pr448751882837621926eger_o > set_Pr448751882837621926eger_o > $o ).

thf(func_def_1892,type,
    sK964: set_real > set_real > ( real > complex ) > real ).

thf(func_def_1893,type,
    sK965: set_real > set_real > ( real > complex ) > real ).

thf(func_def_1894,type,
    sK966: ( real > nat ) > set_real > real ).

thf(func_def_1895,type,
    sK967: ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_1896,type,
    sK968: real > real > real ).

thf(func_def_1897,type,
    sK969: set_VEBT_VEBT > ( set_VEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_1898,type,
    sK970: set_VEBT_VEBT > ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_1899,type,
    sK971: real > product_prod_num_num > ( num > num > set_real ) > num ).

thf(func_def_1900,type,
    sK972: real > product_prod_num_num > ( num > num > set_real ) > num ).

thf(func_def_1901,type,
    sK973: real > real > real ).

thf(func_def_1902,type,
    sK974: nat > vEBT_VEBT > $o ).

thf(func_def_1903,type,
    sK975: nat > vEBT_VEBT > nat ).

thf(func_def_1904,type,
    sK976: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1905,type,
    sK977: nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1906,type,
    sK978: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1907,type,
    sK979: nat > vEBT_VEBT > nat ).

thf(func_def_1908,type,
    sK980: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1909,type,
    sK981: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1910,type,
    sK982: nat > vEBT_VEBT > $o ).

thf(func_def_1911,type,
    sK983: option_nat > option_nat > option_nat > ( nat > nat > nat ) > nat ).

thf(func_def_1912,type,
    sK984: option_nat > option_nat > option_nat > ( nat > nat > nat ) > nat ).

thf(func_def_1913,type,
    sK985: option_nat > ( nat > nat > nat ) > option_nat > option_nat > nat ).

thf(func_def_1914,type,
    sK986: set_real > ( real > rat ) > real ).

thf(func_def_1915,type,
    sK987: set_real > ( real > rat ) > real ).

thf(func_def_1916,type,
    sK988: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_1917,type,
    sK989: ( int > real ) > set_int > int ).

thf(func_def_1918,type,
    sK990: product_prod_int_int > int ).

thf(func_def_1919,type,
    sK991: product_prod_int_int > int ).

thf(func_def_1920,type,
    sK992: ( real > real ) > real > real ).

thf(func_def_1921,type,
    sK993: ( complex > int ) > set_complex > ( complex > int ) > complex ).

thf(func_def_1922,type,
    sK994: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_1923,type,
    sK995: ( real > real ) > set_real > real ).

thf(func_def_1924,type,
    sK996: option_nat > nat ).

thf(func_def_1925,type,
    sK997: list_int > ( int > $o ) > int ).

thf(func_def_1926,type,
    sK998: vEBT_VEBT > $o ).

thf(func_def_1927,type,
    sK999: vEBT_VEBT > $o ).

thf(func_def_1928,type,
    sK1000: vEBT_VEBT > $o ).

thf(func_def_1929,type,
    sK1001: vEBT_VEBT > $o ).

thf(func_def_1930,type,
    sK1002: vEBT_VEBT > $o ).

thf(func_def_1931,type,
    sK1003: vEBT_VEBT > $o ).

thf(func_def_1932,type,
    sK1004: nat > nat ).

thf(func_def_1933,type,
    sK1005: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1934,type,
    sK1006: vEBT_VEBT > nat ).

thf(func_def_1935,type,
    sK1007: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1936,type,
    sK1008: vEBT_VEBT > nat ).

thf(func_def_1937,type,
    sK1009: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1938,type,
    sK1010: vEBT_VEBT > nat ).

thf(func_def_1939,type,
    sK1011: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1940,type,
    sK1012: vEBT_VEBT > nat ).

thf(func_def_1941,type,
    sK1013: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1942,type,
    sK1014: vEBT_VEBT > nat ).

thf(func_def_1943,type,
    sK1015: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1944,type,
    sK1016: nat > vEBT_VEBT > nat > nat ).

thf(func_def_1945,type,
    sK1017: nat > vEBT_VEBT > nat > nat ).

thf(func_def_1946,type,
    sK1018: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1947,type,
    sK1019: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1948,type,
    sK1020: nat > vEBT_VEBT > nat > nat ).

thf(func_def_1949,type,
    sK1021: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1950,type,
    sK1022: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1951,type,
    sK1023: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1952,type,
    sK1024: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1953,type,
    sK1025: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1954,type,
    sK1026: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1955,type,
    sK1027: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_1956,type,
    sK1028: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_1957,type,
    sK1029: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_1958,type,
    sK1030: ( nat > rat ) > nat ).

thf(func_def_1959,type,
    sK1031: ( nat > rat ) > nat ).

thf(func_def_1960,type,
    sK1032: real > real > real ).

thf(func_def_1961,type,
    sK1033: real > real > ( real > real ) > real ).

thf(func_def_1962,type,
    sK1034: ( int > $o ) > int > int ).

thf(func_def_1963,type,
    sK1035: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_1964,type,
    sK1036: produc7036089656553540234on_num > num ).

thf(func_def_1965,type,
    sK1037: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_1966,type,
    sK1038: produc7036089656553540234on_num > option_num ).

thf(func_def_1967,type,
    sK1039: produc7036089656553540234on_num > num ).

thf(func_def_1968,type,
    sK1040: produc7036089656553540234on_num > num ).

thf(func_def_1969,type,
    sK1041: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_1970,type,
    sK1042: ( nat > num ) > nat ).

thf(func_def_1971,type,
    sK1043: ( nat > num ) > nat ).

thf(func_def_1972,type,
    sK1044: nat > nat > nat ).

thf(func_def_1973,type,
    sK1045: nat > nat > nat ).

thf(func_def_1974,type,
    sK1046: nat > nat > nat ).

thf(func_def_1975,type,
    sK1047: ( real > real > $o ) > real ).

thf(func_def_1976,type,
    sK1048: ( real > real > $o ) > real ).

thf(func_def_1977,type,
    sK1049: ( real > real > $o ) > real ).

thf(func_def_1978,type,
    sK1050: ( real > real > $o ) > real ).

thf(func_def_1979,type,
    sK1051: set_complex > ( complex > real ) > ( real > real > $o ) > ( complex > real ) > complex ).

thf(func_def_1980,type,
    sK1052: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_1981,type,
    sK1053: nat > nat > nat ).

thf(func_def_1982,type,
    sK1054: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_1983,type,
    sK1055: produc2233624965454879586on_nat > option_nat ).

thf(func_def_1984,type,
    sK1056: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_1985,type,
    sK1057: produc2233624965454879586on_nat > nat ).

thf(func_def_1986,type,
    sK1058: produc2233624965454879586on_nat > nat ).

thf(func_def_1987,type,
    sK1059: produc2233624965454879586on_nat > nat ).

thf(func_def_1988,type,
    sK1060: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_1989,type,
    sK1061: ( nat > real ) > nat ).

thf(func_def_1990,type,
    sK1062: ( nat > real ) > nat ).

thf(func_def_1991,type,
    sK1063: set_int > set_int > ( int > real ) > int ).

thf(func_def_1992,type,
    sK1064: list_int > int > nat ).

thf(func_def_1993,type,
    sK1065: rat > int ).

thf(func_def_1994,type,
    sK1066: nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_1995,type,
    sK1067: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1996,type,
    sK1068: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1997,type,
    sK1069: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1998,type,
    sK1070: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1999,type,
    sK1071: nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_2000,type,
    sK1072: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2001,type,
    sK1073: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_2002,type,
    sK1074: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_2003,type,
    sK1075: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2004,type,
    sK1076: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2005,type,
    sK1077: vEBT_VEBT > nat > nat > $o ).

thf(func_def_2006,type,
    sK1078: vEBT_VEBT > nat > nat > $o ).

thf(func_def_2007,type,
    sK1079: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_2008,type,
    sK1080: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2009,type,
    sK1081: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_2010,type,
    sK1082: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_2011,type,
    sK1083: product_prod_nat_num > ( nat > num > $o ) > num ).

thf(func_def_2012,type,
    sK1084: product_prod_nat_num > ( nat > num > $o ) > nat ).

thf(func_def_2013,type,
    sK1085: int > nat ).

thf(func_def_2014,type,
    sK1086: int > int > int ).

thf(func_def_2015,type,
    sK1087: set_real > real > real ).

thf(func_def_2016,type,
    sK1088: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2017,type,
    sK1089: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2018,type,
    sK1090: vEBT_VEBT > nat ).

thf(func_def_2019,type,
    sK1091: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2020,type,
    sK1092: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2021,type,
    sK1093: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2022,type,
    sK1094: vEBT_VEBT > nat ).

thf(func_def_2023,type,
    sK1095: vEBT_VEBT > $o ).

thf(func_def_2024,type,
    sK1096: vEBT_VEBT > $o ).

thf(func_def_2025,type,
    sK1097: ( int > $o ) > list_int > nat ).

thf(func_def_2026,type,
    sK1098: ( int > $o ) > list_int > int ).

thf(func_def_2027,type,
    sK1099: real > real > real ).

thf(func_def_2028,type,
    sK1100: ( real > real ) > real > real > real ).

thf(func_def_2029,type,
    sK1101: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2030,type,
    sK1102: ( real > real ) > real > real ).

thf(func_def_2031,type,
    sK1103: nat > nat ).

thf(func_def_2032,type,
    sK1104: real > set_real > ( real > real ) > real ).

thf(func_def_2033,type,
    sK1105: num > num ).

thf(func_def_2034,type,
    sK1106: ( nat > real ) > nat ).

thf(func_def_2035,type,
    sK1107: ( nat > nat ) > ( nat > real ) > nat ).

thf(func_def_2036,type,
    sK1108: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_2037,type,
    sK1109: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_2038,type,
    sK1110: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_2039,type,
    sK1111: rat > int ).

thf(func_def_2040,type,
    sK1112: ( real > $o ) > real > real ).

thf(func_def_2041,type,
    sK1113: ( real > $o ) > real > real ).

thf(func_def_2042,type,
    sK1114: ( real > $o ) > real > real ).

thf(func_def_2043,type,
    sK1115: ( real > $o ) > real > real ).

thf(func_def_2044,type,
    sK1116: ( nat > nat ) > nat ).

thf(func_def_2045,type,
    sK1117: nat > nat ).

thf(func_def_2046,type,
    sK1118: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_2047,type,
    sK1119: real > real > real ).

thf(func_def_2048,type,
    sK1120: vEBT_VEBT > ( vEBT_VEBT > rat ) > set_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2049,type,
    sK1121: ( complex > nat ) > set_complex > complex ).

thf(func_def_2050,type,
    sK1122: ( complex > nat ) > set_complex > complex ).

thf(func_def_2051,type,
    sK1123: ( int > nat ) > set_int > int ).

thf(func_def_2052,type,
    sK1124: ( nat > nat > nat ) > option_nat > option_nat > option_nat > nat ).

thf(func_def_2053,type,
    sK1125: ( nat > nat > nat ) > option_nat > option_nat > option_nat > nat ).

thf(func_def_2054,type,
    sK1126: option_nat > nat ).

thf(func_def_2055,type,
    sK1127: ( nat > $o ) > nat ).

thf(func_def_2056,type,
    sK1128: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_2057,type,
    sK1129: ( set_VEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_2058,type,
    sK1130: ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_2059,type,
    sK1131: ( real > real > $o ) > real > real > real ).

thf(func_def_2060,type,
    sK1132: real > ( real > real > $o ) > real > real > real ).

thf(func_def_2061,type,
    sK1133: real > ( real > real > $o ) > real > real > real ).

thf(func_def_2062,type,
    sK1134: ( real > real > $o ) > real ).

thf(func_def_2063,type,
    sK1135: ( real > real > $o ) > real ).

thf(func_def_2064,type,
    sK1136: ( real > real > $o ) > real ).

thf(func_def_2065,type,
    sK1137: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2066,type,
    sK1138: option_num > num ).

thf(func_def_2067,type,
    sK1139: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_2068,type,
    sK1140: produc8306885398267862888on_nat > option_nat ).

thf(func_def_2069,type,
    sK1141: produc8306885398267862888on_nat > nat ).

thf(func_def_2070,type,
    sK1142: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_2071,type,
    sK1143: produc8306885398267862888on_nat > nat ).

thf(func_def_2072,type,
    sK1144: produc8306885398267862888on_nat > nat ).

thf(func_def_2073,type,
    sK1145: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_2074,type,
    sK1146: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2075,type,
    sK1147: produc9072475918466114483BT_nat > nat ).

thf(func_def_2076,type,
    sK1148: produc9072475918466114483BT_nat > nat ).

thf(func_def_2077,type,
    sK1149: produc9072475918466114483BT_nat > nat ).

thf(func_def_2078,type,
    sK1150: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2079,type,
    sK1151: produc9072475918466114483BT_nat > nat ).

thf(func_def_2080,type,
    sK1152: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_2081,type,
    sK1153: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2082,type,
    sK1154: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2083,type,
    sK1155: produc9072475918466114483BT_nat > nat ).

thf(func_def_2084,type,
    sK1156: produc9072475918466114483BT_nat > $o ).

thf(func_def_2085,type,
    sK1157: produc9072475918466114483BT_nat > $o ).

thf(func_def_2086,type,
    sK1158: produc9072475918466114483BT_nat > $o ).

thf(func_def_2087,type,
    sK1159: produc9072475918466114483BT_nat > $o ).

thf(func_def_2088,type,
    sK1160: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2089,type,
    sK1161: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2090,type,
    sK1162: produc9072475918466114483BT_nat > nat ).

thf(func_def_2091,type,
    sK1163: produc9072475918466114483BT_nat > nat ).

thf(func_def_2092,type,
    sK1164: produc9072475918466114483BT_nat > nat ).

thf(func_def_2093,type,
    sK1165: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2094,type,
    sK1166: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_2095,type,
    sK1167: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2096,type,
    sK1168: produc9072475918466114483BT_nat > $o ).

thf(func_def_2097,type,
    sK1169: produc9072475918466114483BT_nat > nat ).

thf(func_def_2098,type,
    sK1170: produc9072475918466114483BT_nat > $o ).

thf(func_def_2099,type,
    sK1171: nat > set_nat > nat ).

thf(func_def_2100,type,
    sK1172: ( int > rat ) > int > set_int > int ).

thf(func_def_2101,type,
    sK1173: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2102,type,
    sK1174: ( set_real > $o ) > real ).

thf(func_def_2103,type,
    sK1175: ( set_real > $o ) > set_real ).

thf(func_def_2104,type,
    sK1176: real > real ).

thf(func_def_2105,type,
    sK1177: rat > rat ).

thf(func_def_2106,type,
    sK1178: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2107,type,
    sK1179: produc9072475918466114483BT_nat > nat ).

thf(func_def_2108,type,
    sK1180: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2109,type,
    sK1181: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2110,type,
    sK1182: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2111,type,
    sK1183: produc9072475918466114483BT_nat > nat ).

thf(func_def_2112,type,
    sK1184: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2113,type,
    sK1185: produc9072475918466114483BT_nat > nat ).

thf(func_def_2114,type,
    sK1186: produc9072475918466114483BT_nat > nat ).

thf(func_def_2115,type,
    sK1187: produc9072475918466114483BT_nat > nat ).

thf(func_def_2116,type,
    sK1188: produc9072475918466114483BT_nat > $o ).

thf(func_def_2117,type,
    sK1189: produc9072475918466114483BT_nat > $o ).

thf(func_def_2118,type,
    sK1190: produc9072475918466114483BT_nat > nat ).

thf(func_def_2119,type,
    sK1191: produc9072475918466114483BT_nat > nat ).

thf(func_def_2120,type,
    sK1192: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2121,type,
    sK1193: produc9072475918466114483BT_nat > nat ).

thf(func_def_2122,type,
    sK1194: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2123,type,
    sK1195: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2124,type,
    sK1196: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2125,type,
    sK1197: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2126,type,
    sK1198: produc9072475918466114483BT_nat > nat ).

thf(func_def_2127,type,
    sK1199: ( real > nat ) > set_real > real ).

thf(func_def_2128,type,
    sK1200: ( product_prod_num_num > $o ) > num ).

thf(func_def_2129,type,
    sK1201: ( product_prod_num_num > $o ) > num ).

thf(func_def_2130,type,
    sK1202: ( real > $o ) > nat ).

thf(func_def_2131,type,
    sK1203: ( real > $o ) > real ).

thf(func_def_2132,type,
    sK1204: ( real > $o ) > real ).

thf(func_def_2133,type,
    sK1205: int > int > int > int ).

thf(func_def_2134,type,
    sK1206: code_integer > code_integer > code_integer ).

thf(func_def_2135,type,
    sK1207: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_2136,type,
    sK1208: real > ( real > real ) > ( real > real > real ) > real > real ).

thf(func_def_2137,type,
    sK1209: real > ( real > real ) > ( real > real > real ) > real > real ).

thf(func_def_2138,type,
    sK1210: ( int > $o ) > int ).

thf(func_def_2139,type,
    sK1211: int > ( int > $o ) > int ).

thf(func_def_2140,type,
    sK1212: int > ( int > $o ) > int ).

thf(func_def_2141,type,
    sK1213: int > ( int > $o ) > int ).

thf(func_def_2142,type,
    sK1214: set_int > ( int > rat ) > int ).

thf(func_def_2143,type,
    sK1215: int > int ).

thf(func_def_2144,type,
    sK1216: set_real > set_real > ( real > real ) > real ).

thf(func_def_2145,type,
    sK1217: set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2146,type,
    sK1218: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_2147,type,
    sK1219: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_2148,type,
    sK1220: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_2149,type,
    sK1221: list_complex > set_complex > complex ).

thf(func_def_2150,type,
    sK1222: ( complex > int ) > set_complex > complex ).

thf(func_def_2151,type,
    sK1223: set_int > ( int > real ) > int ).

thf(func_def_2152,type,
    sK1224: set_int > ( int > real ) > int ).

thf(func_def_2153,type,
    sK1225: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_2154,type,
    sK1226: set_complex > set_complex > ( complex > nat ) > complex ).

thf(func_def_2155,type,
    sK1227: ( num > nat ) > num ).

thf(func_def_2156,type,
    sK1228: ( num > nat ) > num ).

thf(func_def_2157,type,
    sK1229: ( nat > real > real ) > nat > real > real ).

thf(func_def_2158,type,
    sK1230: ( nat > real > real ) > nat > real > nat ).

thf(func_def_2159,type,
    sK1231: set_real > ( set_real > $o ) > set_real ).

thf(func_def_2160,type,
    sK1232: ( int > int > $o ) > int ).

thf(func_def_2161,type,
    sK1233: ( int > int > $o ) > int ).

thf(func_def_2162,type,
    sK1234: nat > ( nat > $o ) > nat > nat ).

thf(func_def_2163,type,
    sK1235: nat > ( nat > $o ) > nat > nat ).

thf(func_def_2164,type,
    sK1236: real > real > real > real ).

thf(func_def_2165,type,
    sK1237: int > nat ).

thf(func_def_2166,type,
    sK1238: nat > vEBT_VEBT > $o ).

thf(func_def_2167,type,
    sK1239: nat > vEBT_VEBT > $o ).

thf(func_def_2168,type,
    sK1240: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2169,type,
    sK1241: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2170,type,
    sK1242: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2171,type,
    sK1243: nat > vEBT_VEBT > nat ).

thf(func_def_2172,type,
    sK1244: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2173,type,
    sK1245: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2174,type,
    sK1246: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2175,type,
    sK1247: nat > real > real ).

thf(func_def_2176,type,
    sK1248: set_int > int ).

thf(func_def_2177,type,
    sK1249: int > ( int > $o ) > int ).

thf(func_def_2178,type,
    sK1250: int > ( int > $o ) > int ).

thf(func_def_2179,type,
    sK1251: ( int > $o ) > int > int ).

thf(func_def_2180,type,
    sK1252: ( int > $o ) > int > int ).

thf(func_def_2181,type,
    sK1253: ( extended_enat > $o ) > extended_enat ).

thf(func_def_2182,type,
    sK1254: int > int ).

thf(func_def_2183,type,
    sK1255: ( real > num ) > real ).

thf(func_def_2184,type,
    sK1256: ( real > num ) > real ).

thf(func_def_2185,type,
    sK1257: product_prod_num_num > num ).

thf(func_def_2186,type,
    sK1258: product_prod_num_num > num ).

thf(func_def_2187,type,
    sK1259: product_prod_num_num > num ).

thf(func_def_2188,type,
    sK1260: product_prod_num_num > num ).

thf(func_def_2189,type,
    sK1261: product_prod_num_num > num ).

thf(func_def_2190,type,
    sK1262: product_prod_num_num > num ).

thf(func_def_2191,type,
    sK1263: product_prod_num_num > num ).

thf(func_def_2192,type,
    sK1264: product_prod_num_num > num ).

thf(func_def_2193,type,
    sK1265: product_prod_num_num > num ).

thf(func_def_2194,type,
    sK1266: product_prod_num_num > num ).

thf(func_def_2195,type,
    sK1267: product_prod_num_num > num ).

thf(func_def_2196,type,
    sK1268: product_prod_num_num > num ).

thf(func_def_2197,type,
    sK1269: nat > ( nat > $o ) > nat ).

thf(func_def_2198,type,
    sK1270: nat > ( nat > $o ) > nat ).

thf(func_def_2199,type,
    sK1271: nat > real > real ).

thf(func_def_2200,type,
    sK1272: vEBT_VEBT > $o ).

thf(func_def_2201,type,
    sK1273: vEBT_VEBT > $o ).

thf(func_def_2202,type,
    sK1274: ( int > real ) > set_int > int ).

thf(func_def_2203,type,
    sK1275: real > int ).

thf(func_def_2204,type,
    sK1276: ( nat > rat ) > nat ).

thf(func_def_2205,type,
    sK1277: int > int > set_int > int ).

thf(func_def_2206,type,
    sK1278: int > int > set_int > int ).

thf(func_def_2207,type,
    sK1279: real > real > nat ).

thf(func_def_2208,type,
    sK1280: ( int > real ) > ( int > real ) > set_int > int ).

thf(func_def_2209,type,
    sK1281: ( int > rat ) > set_int > int ).

thf(func_def_2210,type,
    sK1282: real > int ).

thf(func_def_2211,type,
    sK1283: real > real ).

thf(func_def_2212,type,
    sK1284: num > set_num > num ).

thf(func_def_2213,type,
    sK1285: ( nat > $o ) > list_nat > nat ).

thf(func_def_2214,type,
    sK1286: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2215,type,
    sK1287: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2216,type,
    sK1288: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2217,type,
    sK1289: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2218,type,
    sK1290: ( nat > set_int ) > nat ).

thf(func_def_2219,type,
    sK1291: ( nat > $o ) > list_nat > nat ).

thf(func_def_2220,type,
    sK1292: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_2221,type,
    sK1293: set_real > real ).

thf(func_def_2222,type,
    sK1294: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2223,type,
    sK1295: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2224,type,
    sK1296: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2225,type,
    sK1297: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2226,type,
    sK1298: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2227,type,
    sK1299: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_2228,type,
    sK1300: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_2229,type,
    sK1301: nat > nat ).

thf(func_def_2230,type,
    sK1302: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2231,type,
    sK1303: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2232,type,
    sK1304: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2233,type,
    sK1305: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2234,type,
    sK1306: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2235,type,
    sK1307: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2236,type,
    sK1308: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2237,type,
    sK1309: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2238,type,
    sK1310: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2239,type,
    sK1311: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2240,type,
    sK1312: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2241,type,
    sK1313: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2242,type,
    sK1314: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2243,type,
    sK1315: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2244,type,
    sK1316: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2245,type,
    sK1317: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2246,type,
    sK1318: ( real > rat ) > set_real > ( real > rat ) > real ).

thf(func_def_2247,type,
    sK1319: set_real > ( real > rat ) > set_real > real ).

thf(func_def_2248,type,
    sK1320: ( nat > num ) > nat ).

thf(func_def_2249,type,
    sK1321: ( num > rat ) > num ).

thf(func_def_2250,type,
    sK1322: ( num > rat ) > num ).

thf(func_def_2251,type,
    sK1323: ( rat > nat ) > rat ).

thf(func_def_2252,type,
    sK1324: ( rat > nat ) > rat ).

thf(func_def_2253,type,
    sK1325: set_num > num ).

thf(func_def_2254,type,
    sK1326: nat > nat > nat ).

thf(func_def_2255,type,
    sK1327: product_prod_int_int > ( int > int > int ) > ( int > $o ) > int ).

thf(func_def_2256,type,
    sK1328: product_prod_int_int > ( int > int > int ) > ( int > $o ) > int ).

thf(func_def_2257,type,
    sK1329: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2258,type,
    sK1330: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2259,type,
    sK1331: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2260,type,
    sK1332: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2261,type,
    sK1333: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2262,type,
    sK1334: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2263,type,
    sK1335: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2264,type,
    sK1336: $o > vEBT_VEBT > nat > nat ).

thf(func_def_2265,type,
    sK1337: $o > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2266,type,
    sK1338: $o > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2267,type,
    sK1339: $o > vEBT_VEBT > nat > nat ).

thf(func_def_2268,type,
    sK1340: $o > vEBT_VEBT > nat > nat ).

thf(func_def_2269,type,
    sK1341: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2270,type,
    sK1342: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2271,type,
    sK1343: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2272,type,
    sK1344: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2273,type,
    sK1345: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_2274,type,
    sK1346: set_nat > set_nat > nat ).

thf(func_def_2275,type,
    sK1347: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_2276,type,
    sK1348: int > set_int > int > int ).

thf(func_def_2277,type,
    sK1349: int > set_int > int > int ).

thf(func_def_2278,type,
    sK1350: nat > set_nat > nat ).

thf(func_def_2279,type,
    sK1351: ( $o > $o ) > list_o > nat ).

thf(func_def_2280,type,
    sK1352: real > ( nat > real ) > nat > int ).

thf(func_def_2281,type,
    sK1353: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2282,type,
    sK1354: ( nat > code_integer ) > code_integer > set_nat > code_integer > nat ).

thf(func_def_2283,type,
    sK1355: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2284,type,
    sK1356: real > ( real > real ) > real ).

thf(func_def_2285,type,
    sK1357: set_set_int > set_int > set_int ).

thf(func_def_2286,type,
    sK1358: ( set_real > $o ) > set_real ).

thf(func_def_2287,type,
    sK1359: ( rat > int ) > rat ).

thf(func_def_2288,type,
    sK1360: ( rat > int ) > rat ).

thf(func_def_2289,type,
    sK1361: rat > int ).

thf(func_def_2290,type,
    sK1362: ( nat > rat ) > ( nat > rat ) > set_nat > ( rat > rat > $o ) > nat ).

thf(func_def_2291,type,
    sK1363: ( rat > rat > $o ) > rat ).

thf(func_def_2292,type,
    sK1364: ( rat > rat > $o ) > rat ).

thf(func_def_2293,type,
    sK1365: ( rat > rat > $o ) > rat ).

thf(func_def_2294,type,
    sK1366: ( rat > rat > $o ) > rat ).

thf(func_def_2295,type,
    sK1367: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_2296,type,
    sK1368: set_int > ( int > complex ) > ( int > complex ) > ( int > int ) > int ).

thf(func_def_2297,type,
    sK1369: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_2298,type,
    sK1370: set_int > ( int > int ) > set_int > ( int > int ) > int ).

thf(func_def_2299,type,
    sK1371: set_int > ( int > complex ) > int ).

thf(func_def_2300,type,
    sK1372: set_int > set_int > set_int > ( int > int ) > set_int > int ).

thf(func_def_2301,type,
    sK1373: set_int > ( int > complex ) > int ).

thf(func_def_2302,type,
    sK1374: set_complex > ( complex > rat ) > complex ).

thf(func_def_2303,type,
    sK1375: nat > nat > nat > nat ).

thf(func_def_2304,type,
    sK1376: real > ( real > rat ) > set_real > real ).

thf(func_def_2305,type,
    sK1377: product_prod_nat_nat > ( nat > nat > $o ) > nat ).

thf(func_def_2306,type,
    sK1378: product_prod_nat_nat > ( nat > nat > $o ) > nat ).

thf(func_def_2307,type,
    sK1379: list_nat > nat > nat ).

thf(func_def_2308,type,
    sK1380: ( num > $o ) > num ).

thf(func_def_2309,type,
    sK1381: real > nat > real > ( nat > real > real ) > ( real > real ) > real ).

thf(func_def_2310,type,
    sK1382: nat > real > ( nat > real > real ) > real > nat ).

thf(func_def_2311,type,
    sK1383: nat > real > ( nat > real > real ) > real > real ).

thf(func_def_2312,type,
    sK1384: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_2313,type,
    sK1385: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2314,type,
    sK1386: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2315,type,
    sK1387: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2316,type,
    sK1388: vEBT_VEBT > nat > nat ).

thf(func_def_2317,type,
    sK1389: vEBT_VEBT > nat > $o ).

thf(func_def_2318,type,
    sK1390: vEBT_VEBT > nat > $o ).

thf(func_def_2319,type,
    sK1391: nat > nat > nat ).

thf(func_def_2320,type,
    sK1392: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_2321,type,
    sK1393: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_2322,type,
    sK1394: real > int ).

thf(func_def_2323,type,
    sK1395: ( nat > num > set_real ) > product_prod_nat_num > real > num ).

thf(func_def_2324,type,
    sK1396: ( nat > num > set_real ) > product_prod_nat_num > real > nat ).

thf(func_def_2325,type,
    sK1397: set_real > ( real > real ) > set_real > real ).

thf(func_def_2326,type,
    sK1398: set_nat > set_nat > nat ).

thf(func_def_2327,type,
    sK1399: product_prod_num_num > ( num > num > $o ) > num ).

thf(func_def_2328,type,
    sK1400: product_prod_num_num > ( num > num > $o ) > num ).

thf(func_def_2329,type,
    sK1401: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_2330,type,
    sK1402: complex > ( complex > $o ) > complex ).

thf(func_def_2331,type,
    sK1403: complex > ( complex > $o ) > complex ).

thf(func_def_2332,type,
    sK1404: set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_2333,type,
    sK1405: ( int > rat ) > ( set_int > $o ) > int ).

thf(func_def_2334,type,
    sK1406: ( int > rat ) > ( set_int > $o ) > set_int ).

thf(func_def_2335,type,
    sK1407: ( rat > int ) > rat ).

thf(func_def_2336,type,
    sK1408: ( rat > int ) > rat ).

thf(func_def_2337,type,
    sK1409: ( rat > int ) > rat ).

thf(func_def_2338,type,
    sK1410: ( rat > int ) > rat ).

thf(func_def_2339,type,
    sK1411: ( vEBT_VEBT > $o ) > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2340,type,
    sK1412: ( num > real ) > num ).

thf(func_def_2341,type,
    sK1413: ( num > real ) > num ).

thf(func_def_2342,type,
    sK1414: ( complex > nat ) > set_complex > complex ).

thf(func_def_2343,type,
    sK1415: rat > rat ).

thf(func_def_2344,type,
    sK1416: real > real > real ).

thf(func_def_2345,type,
    sK1417: option_nat > ( option_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > nat ).

thf(func_def_2346,type,
    sK1418: option_nat > ( option_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2347,type,
    sK1419: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2348,type,
    sK1420: vEBT_VEBT > nat ).

thf(func_def_2349,type,
    sK1421: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2350,type,
    sK1422: vEBT_VEBT > nat ).

thf(func_def_2351,type,
    sK1423: vEBT_VEBT > nat ).

thf(func_def_2352,type,
    sK1424: vEBT_VEBT > $o ).

thf(func_def_2353,type,
    sK1425: vEBT_VEBT > $o ).

thf(func_def_2354,type,
    sK1426: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2355,type,
    sK1427: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2356,type,
    sK1428: vEBT_VEBT > nat ).

thf(func_def_2357,type,
    sK1429: ( set_int > $o ) > set_int > int ).

thf(func_def_2358,type,
    sK1430: ( set_int > $o ) > set_int > set_int ).

thf(func_def_2359,type,
    sK1431: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_2360,type,
    sK1432: ( nat > rat ) > set_nat > nat ).

thf(func_def_2361,type,
    sK1433: ( nat > rat ) > set_nat > nat ).

thf(func_def_2362,type,
    sK1434: ( rat > int ) > rat ).

thf(func_def_2363,type,
    sK1435: ( rat > int ) > rat ).

thf(func_def_2364,type,
    sK1436: produc6271795597528267376eger_o > code_integer ).

thf(func_def_2365,type,
    sK1437: produc6271795597528267376eger_o > $o ).

thf(func_def_2366,type,
    sK1438: real > ( real > real ) > real > real ).

thf(func_def_2367,type,
    sK1439: ( complex > int ) > set_complex > ( complex > int ) > complex ).

thf(func_def_2368,type,
    sK1440: ( complex > nat ) > set_complex > complex ).

thf(func_def_2369,type,
    sK1441: real > ( real > real ) > real > real ).

thf(func_def_2370,type,
    sK1442: real > ( real > real ) > real > real ).

thf(func_def_2371,type,
    sK1443: real > real > ( real > real ) > real > real ).

thf(func_def_2372,type,
    sK1444: real > ( real > real ) > real > real ).

thf(func_def_2373,type,
    sK1445: ( int > real ) > int ).

thf(func_def_2374,type,
    sK1446: ( int > real ) > int ).

thf(func_def_2375,type,
    sK1447: set_real > ( set_real > $o ) > set_real ).

thf(func_def_2376,type,
    sK1448: set_real > set_real > real ).

thf(func_def_2377,type,
    sK1449: set_int > ( int > rat ) > int ).

thf(func_def_2378,type,
    sK1450: ( rat > nat ) > rat ).

thf(func_def_2379,type,
    sK1451: ( rat > nat ) > rat ).

thf(func_def_2380,type,
    sK1452: ( rat > nat ) > rat ).

thf(func_def_2381,type,
    sK1453: ( rat > nat ) > rat ).

thf(func_def_2382,type,
    sK1454: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2383,type,
    sK1455: produc9072475918466114483BT_nat > nat ).

thf(func_def_2384,type,
    sK1456: produc9072475918466114483BT_nat > nat ).

thf(func_def_2385,type,
    sK1457: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2386,type,
    sK1458: produc9072475918466114483BT_nat > nat ).

thf(func_def_2387,type,
    sK1459: produc9072475918466114483BT_nat > nat ).

thf(func_def_2388,type,
    sK1460: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2389,type,
    sK1461: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2390,type,
    sK1462: produc9072475918466114483BT_nat > nat ).

thf(func_def_2391,type,
    sK1463: produc9072475918466114483BT_nat > nat ).

thf(func_def_2392,type,
    sK1464: produc9072475918466114483BT_nat > nat ).

thf(func_def_2393,type,
    sK1465: produc9072475918466114483BT_nat > $o ).

thf(func_def_2394,type,
    sK1466: produc9072475918466114483BT_nat > $o ).

thf(func_def_2395,type,
    sK1467: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2396,type,
    sK1468: produc9072475918466114483BT_nat > nat ).

thf(func_def_2397,type,
    sK1469: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2398,type,
    sK1470: produc9072475918466114483BT_nat > nat ).

thf(func_def_2399,type,
    sK1471: produc9072475918466114483BT_nat > nat ).

thf(func_def_2400,type,
    sK1472: produc9072475918466114483BT_nat > $o ).

thf(func_def_2401,type,
    sK1473: produc9072475918466114483BT_nat > nat ).

thf(func_def_2402,type,
    sK1474: produc9072475918466114483BT_nat > $o ).

thf(func_def_2403,type,
    sK1475: produc9072475918466114483BT_nat > nat ).

thf(func_def_2404,type,
    sK1476: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2405,type,
    sK1477: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2406,type,
    sK1478: produc9072475918466114483BT_nat > nat ).

thf(func_def_2407,type,
    sK1479: produc9072475918466114483BT_nat > $o ).

thf(func_def_2408,type,
    sK1480: produc9072475918466114483BT_nat > $o ).

thf(func_def_2409,type,
    sK1481: real > real > real ).

thf(func_def_2410,type,
    sK1482: set_real > ( real > nat ) > real ).

thf(func_def_2411,type,
    sK1483: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2412,type,
    sK1484: vEBT_VEBT > nat > $o ).

thf(func_def_2413,type,
    sK1485: vEBT_VEBT > nat > $o ).

thf(func_def_2414,type,
    sK1486: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2415,type,
    sK1487: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2416,type,
    sK1488: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2417,type,
    sK1489: nat > vEBT_VEBT > nat ).

thf(func_def_2418,type,
    sK1490: real > real ).

thf(func_def_2419,type,
    sK1491: real > real ).

thf(func_def_2420,type,
    sK1492: ( real > real ) > set_real > real ).

thf(func_def_2421,type,
    sK1493: ( nat > real ) > nat ).

thf(func_def_2422,type,
    sK1494: ( nat > real ) > nat ).

thf(func_def_2423,type,
    sK1495: real > real > real ).

thf(func_def_2424,type,
    sK1496: produc6271795597528267376eger_o > real > ( code_integer > $o > set_real ) > code_integer ).

thf(func_def_2425,type,
    sK1497: produc6271795597528267376eger_o > real > ( code_integer > $o > set_real ) > $o ).

thf(func_def_2426,type,
    sK1498: real > ( real > real ) > real ).

thf(func_def_2427,type,
    sK1499: real > real ).

thf(func_def_2428,type,
    sK1500: real > nat ).

thf(func_def_2429,type,
    sK1501: ( int > rat ) > set_int > ( int > rat ) > int ).

thf(func_def_2430,type,
    sK1502: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2431,type,
    sK1503: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2432,type,
    sK1504: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2433,type,
    sK1505: int > int > set_int > int ).

thf(func_def_2434,type,
    sK1506: int > int > set_int > int ).

thf(func_def_2435,type,
    sK1507: ( int > real ) > set_int > set_int > int ).

thf(func_def_2436,type,
    sK1508: ( real > int ) > set_real > set_real > real ).

thf(func_def_2437,type,
    sK1509: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_2438,type,
    sK1510: ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_2439,type,
    sK1511: int > int > int > int ).

thf(func_def_2440,type,
    sK1512: nat > nat > nat > nat ).

thf(func_def_2441,type,
    sK1513: nat > nat > nat > nat ).

thf(func_def_2442,type,
    sK1514: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_2443,type,
    sK1515: vEBT_VEBT > nat > nat > product_prod_nat_nat ).

thf(func_def_2444,type,
    sK1516: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_2445,type,
    sK1517: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2446,type,
    sK1518: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2447,type,
    sK1519: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2448,type,
    sK1520: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2449,type,
    sK1521: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2450,type,
    sK1522: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2451,type,
    sK1523: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2452,type,
    sK1524: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_2453,type,
    sK1525: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_2454,type,
    sK1526: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2455,type,
    sK1527: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2456,type,
    sK1528: nat > nat > vEBT_VEBT > nat ).

thf(func_def_2457,type,
    sK1529: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2458,type,
    sK1530: nat > nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2459,type,
    sK1531: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2460,type,
    sK1532: nat > nat > vEBT_VEBT > nat ).

thf(func_def_2461,type,
    sK1533: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2462,type,
    sK1534: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2463,type,
    sK1535: real > real > nat ).

thf(func_def_2464,type,
    sK1536: product_prod_nat_nat > nat ).

thf(func_def_2465,type,
    sK1537: product_prod_nat_nat > nat ).

thf(func_def_2466,type,
    sK1538: ( set_nat > $o ) > ( nat > rat ) > set_nat ).

thf(func_def_2467,type,
    sK1539: ( set_nat > $o ) > ( nat > rat ) > nat ).

thf(func_def_2468,type,
    sK1540: ( real > real ) > real ).

thf(func_def_2469,type,
    sK1541: ( real > real ) > real ).

thf(func_def_2470,type,
    sK1542: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_2471,type,
    sK1543: nat > nat ).

thf(func_def_2472,type,
    sK1544: list_nat > nat > nat ).

thf(func_def_2473,type,
    sK1545: list_nat > nat > list_nat ).

thf(func_def_2474,type,
    sK1546: real > real > real ).

thf(func_def_2475,type,
    sK1547: set_nat > nat > nat ).

thf(func_def_2476,type,
    sK1548: ( real > rat ) > real ).

thf(func_def_2477,type,
    sK1549: ( real > rat ) > real ).

thf(func_def_2478,type,
    sK1550: ( rat > real ) > rat ).

thf(func_def_2479,type,
    sK1551: ( rat > real ) > rat ).

thf(func_def_2480,type,
    sK1552: nat > nat > nat ).

thf(func_def_2481,type,
    sK1553: nat > nat > nat ).

thf(func_def_2482,type,
    sK1554: nat > nat > nat ).

thf(func_def_2483,type,
    sK1555: complex > real ).

thf(func_def_2484,type,
    sK1556: complex > complex ).

thf(func_def_2485,type,
    sK1557: ( real > rat ) > real ).

thf(func_def_2486,type,
    sK1558: ( real > rat ) > real ).

thf(func_def_2487,type,
    sK1559: code_integer > code_integer > code_integer ).

thf(func_def_2488,type,
    sK1560: list_int > ( int > $o ) > int ).

thf(func_def_2489,type,
    sK1561: set_nat > nat ).

thf(func_def_2490,type,
    sK1562: nat > set_nat > nat ).

thf(func_def_2491,type,
    sK1563: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2492,type,
    sK1564: ( rat > nat ) > rat ).

thf(func_def_2493,type,
    sK1565: ( rat > nat ) > rat ).

thf(func_def_2494,type,
    sK1566: ( rat > rat ) > rat ).

thf(func_def_2495,type,
    sK1567: ( rat > rat ) > rat ).

thf(func_def_2496,type,
    sK1568: set_real > ( real > nat ) > set_real > real ).

thf(func_def_2497,type,
    sK1569: ( real > nat ) > set_real > ( real > nat ) > real ).

thf(func_def_2498,type,
    sK1570: complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_2499,type,
    sK1571: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2500,type,
    sK1572: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2501,type,
    sK1573: nat > real > real ).

thf(func_def_2502,type,
    sK1574: vEBT_VEBT > nat > nat ).

thf(func_def_2503,type,
    sK1575: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2504,type,
    sK1576: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2505,type,
    sK1577: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2506,type,
    sK1578: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2507,type,
    sK1579: vEBT_VEBT > nat > $o ).

thf(func_def_2508,type,
    sK1580: vEBT_VEBT > nat > $o ).

thf(func_def_2509,type,
    sK1581: ( nat > rat ) > set_nat > nat ).

thf(func_def_2510,type,
    sK1582: int > set_int > int > int ).

thf(func_def_2511,type,
    sK1583: int > set_int > int > int ).

thf(func_def_2512,type,
    sK1584: int > set_int > ( int > $o ) > int ).

thf(func_def_2513,type,
    sK1585: int > set_int > ( int > $o ) > int ).

thf(func_def_2514,type,
    sK1586: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_2515,type,
    sK1587: set_int > set_int > ( real > int ) > ( int > real ) > int ).

thf(func_def_2516,type,
    sK1588: ( real > complex ) > set_real > real ).

thf(func_def_2517,type,
    sK1589: set_int > set_real > set_real > set_int > ( real > int ) > real ).

thf(func_def_2518,type,
    sK1590: set_int > ( int > complex ) > int ).

thf(func_def_2519,type,
    sK1591: ( int > complex ) > set_real > ( real > complex ) > ( real > int ) > real ).

thf(func_def_2520,type,
    sK1592: ( int > real ) > set_real > set_real > ( real > int ) > real ).

thf(func_def_2521,type,
    sK1593: ( rat > nat ) > rat ).

thf(func_def_2522,type,
    sK1594: ( rat > nat ) > rat ).

thf(func_def_2523,type,
    sK1595: ( real > complex ) > set_real > ( real > complex ) > real ).

thf(func_def_2524,type,
    sK1596: ( real > complex ) > set_real > set_real > real ).

thf(func_def_2525,type,
    sK1597: ( nat > $o ) > nat ).

thf(func_def_2526,type,
    sK1598: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2527,type,
    sK1599: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2528,type,
    sK1600: nat > vEBT_VEBT > nat ).

thf(func_def_2529,type,
    sK1601: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2530,type,
    sK1602: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2531,type,
    sK1603: nat > vEBT_VEBT > nat ).

thf(func_def_2532,type,
    sK1604: nat > vEBT_VEBT > nat ).

thf(func_def_2533,type,
    sK1605: nat > vEBT_VEBT > nat ).

thf(func_def_2534,type,
    sK1606: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2535,type,
    sK1607: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2536,type,
    sK1608: nat > vEBT_VEBT > nat ).

thf(func_def_2537,type,
    sK1609: nat > vEBT_VEBT > nat ).

thf(func_def_2538,type,
    sK1610: ( int > rat ) > int ).

thf(func_def_2539,type,
    sK1611: ( int > rat ) > int ).

thf(func_def_2540,type,
    sK1612: rat > rat ).

thf(func_def_2541,type,
    sK1613: ( product_prod_num_num > product_prod_num_num > $o ) > ( product_prod_num_num > $o ) > product_prod_num_num ).

thf(func_def_2542,type,
    sK1614: ( product_prod_num_num > product_prod_num_num > $o ) > ( product_prod_num_num > $o ) > product_prod_num_num ).

thf(func_def_2543,type,
    sK1615: ( product_prod_num_num > product_prod_num_num > $o ) > ( product_prod_num_num > $o ) > ( product_prod_num_num > $o ) > product_prod_num_num ).

thf(func_def_2544,type,
    sK1616: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_2545,type,
    sK1617: nat > nat ).

thf(func_def_2546,type,
    sK1618: ( nat > real ) > set_nat > ( nat > real ) > nat ).

thf(func_def_2547,type,
    sK1619: ( nat > real ) > nat ).

thf(func_def_2548,type,
    sK1620: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2549,type,
    sK1621: rat > rat > rat ).

thf(func_def_2550,type,
    sK1622: rat > rat ).

thf(func_def_2551,type,
    sK1623: rat > rat ).

thf(func_def_2552,type,
    sK1624: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2553,type,
    sK1625: nat > vEBT_VEBT > nat ).

thf(func_def_2554,type,
    sK1626: nat > vEBT_VEBT > nat ).

thf(func_def_2555,type,
    sK1627: nat > vEBT_VEBT > nat ).

thf(func_def_2556,type,
    sK1628: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2557,type,
    sK1629: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2558,type,
    sK1630: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2559,type,
    sK1631: vEBT_VEBT > nat > nat ).

thf(func_def_2560,type,
    sK1632: vEBT_VEBT > nat > nat ).

thf(func_def_2561,type,
    sK1633: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2562,type,
    sK1634: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2563,type,
    sK1635: vEBT_VEBT > $o ).

thf(func_def_2564,type,
    sK1636: vEBT_VEBT > $o ).

thf(func_def_2565,type,
    sK1637: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2566,type,
    sK1638: vEBT_VEBT > nat > nat ).

thf(func_def_2567,type,
    sK1639: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2568,type,
    sK1640: complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_2569,type,
    sK1641: ( complex > nat ) > set_complex > complex ).

thf(func_def_2570,type,
    sK1642: ( rat > rat > $o ) > rat ).

thf(func_def_2571,type,
    sK1643: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2572,type,
    sK1644: vEBT_VEBT > nat > nat ).

thf(func_def_2573,type,
    sK1645: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2574,type,
    sK1646: nat > vEBT_VEBT > nat ).

thf(func_def_2575,type,
    sK1647: nat > vEBT_VEBT > nat ).

thf(func_def_2576,type,
    sK1648: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2577,type,
    sK1649: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2578,type,
    sK1650: nat > vEBT_VEBT > nat ).

thf(func_def_2579,type,
    sK1651: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2580,type,
    sK1652: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2581,type,
    sK1653: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2582,type,
    sK1654: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2583,type,
    sK1655: nat > vEBT_VEBT > nat ).

thf(func_def_2584,type,
    sK1656: nat > vEBT_VEBT > nat ).

thf(func_def_2585,type,
    sK1657: nat > vEBT_VEBT > $o ).

thf(func_def_2586,type,
    sK1658: nat > vEBT_VEBT > $o ).

thf(func_def_2587,type,
    sK1659: ( product_prod_nat_num > $o ) > nat ).

thf(func_def_2588,type,
    sK1660: ( product_prod_nat_num > $o ) > num ).

thf(func_def_2589,type,
    sK1661: ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_2590,type,
    sK1662: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2591,type,
    sK1663: set_complex > ( complex > real ) > complex ).

thf(func_def_2592,type,
    sK1664: set_real > ( real > nat ) > ( real > nat ) > real ).

thf(func_def_2593,type,
    sK1665: ( nat > $o ) > nat ).

thf(func_def_2594,type,
    sK1666: nat > ( nat > $o ) > nat ).

thf(func_def_2595,type,
    sK1667: set_real > list_real > real ).

thf(func_def_2596,type,
    sK1668: real > real ).

thf(func_def_2597,type,
    sK1669: ( real > num ) > real ).

thf(func_def_2598,type,
    sK1670: ( real > num ) > real ).

thf(func_def_2599,type,
    sK1671: set_Pr8218934625190621173um_num > set_Pr8218934625190621173um_num > num ).

thf(func_def_2600,type,
    sK1672: set_Pr8218934625190621173um_num > set_Pr8218934625190621173um_num > num ).

thf(func_def_2601,type,
    sK1673: complex > list_complex > nat ).

thf(func_def_2602,type,
    sK1674: option_num > option4927543243414619207at_nat > ( option_num > option4927543243414619207at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2603,type,
    sK1675: option_num > option4927543243414619207at_nat > ( option_num > option4927543243414619207at_nat > $o ) > num ).

thf(func_def_2604,type,
    sK1676: ( real > $o ) > nat ).

thf(func_def_2605,type,
    sK1677: ( real > $o ) > real ).

thf(func_def_2606,type,
    sK1678: ( real > $o ) > real ).

thf(func_def_2607,type,
    sK1679: ( int > int > $o ) > int ).

thf(func_def_2608,type,
    sK1680: ( int > int > $o ) > int ).

thf(func_def_2609,type,
    sK1681: set_complex > list_complex ).

thf(func_def_2610,type,
    sK1682: set_num > num ).

thf(func_def_2611,type,
    sK1683: product_prod_num_num > num ).

thf(func_def_2612,type,
    sK1684: product_prod_num_num > num ).

thf(func_def_2613,type,
    sK1685: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_2614,type,
    sK1686: list_complex > complex > complex ).

thf(func_def_2615,type,
    sK1687: real > ( real > $o ) > real ).

thf(func_def_2616,type,
    sK1688: real > ( real > $o ) > real ).

thf(func_def_2617,type,
    sK1689: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2618,type,
    sK1690: ( nat > real ) > nat ).

thf(func_def_2619,type,
    sK1691: ( nat > real ) > real > real ).

thf(func_def_2620,type,
    sK1692: ( nat > real ) > real > nat ).

thf(func_def_2621,type,
    sK1693: vEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_2622,type,
    sK1694: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2623,type,
    sK1695: vEBT_VEBT > nat ).

thf(func_def_2624,type,
    sK1696: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2625,type,
    sK1697: nat > vEBT_VEBT > nat > nat ).

thf(func_def_2626,type,
    sK1698: nat > vEBT_VEBT > nat > nat ).

thf(func_def_2627,type,
    sK1699: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2628,type,
    sK1700: nat > vEBT_VEBT > nat > nat ).

thf(func_def_2629,type,
    sK1701: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2630,type,
    sK1702: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2631,type,
    sK1703: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2632,type,
    sK1704: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2633,type,
    sK1705: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2634,type,
    sK1706: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2635,type,
    sK1707: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2636,type,
    sK1708: vEBT_VEBT > $o ).

thf(func_def_2637,type,
    sK1709: vEBT_VEBT > $o ).

thf(func_def_2638,type,
    sK1710: nat > nat ).

thf(func_def_2639,type,
    sK1711: ( nat > $o ) > nat ).

thf(func_def_2640,type,
    sK1712: ( nat > $o ) > $o ).

thf(func_def_2641,type,
    sK1713: ( nat > $o ) > nat ).

thf(func_def_2642,type,
    sK1714: rat > rat ).

thf(func_def_2643,type,
    sK1715: real > ( real > real ) > real > real ).

thf(func_def_2644,type,
    sK1716: real > ( real > real ) > real > real ).

thf(func_def_2645,type,
    sK1717: real > ( real > real ) > real > real ).

thf(func_def_2646,type,
    sK1718: ( rat > rat ) > rat ).

thf(func_def_2647,type,
    sK1719: ( rat > rat ) > rat ).

thf(func_def_2648,type,
    sK1720: ( nat > real ) > nat ).

thf(func_def_2649,type,
    sK1721: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_2650,type,
    sK1722: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_2651,type,
    sK1723: real > real > real ).

thf(func_def_2652,type,
    sK1724: ( int > rat ) > set_int > ( int > rat ) > int ).

thf(func_def_2653,type,
    sK1725: ( int > int > $o ) > int ).

thf(func_def_2654,type,
    sK1726: ( int > int > $o ) > int ).

thf(func_def_2655,type,
    sK1727: ( int > int > $o ) > int ).

thf(func_def_2656,type,
    sK1728: ( int > int > $o ) > int ).

thf(func_def_2657,type,
    sK1729: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_2658,type,
    sK1730: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2659,type,
    sK1731: set_nat > ( set_nat > $o ) > nat ).

thf(func_def_2660,type,
    sK1732: real > real > real ).

thf(func_def_2661,type,
    sK1733: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2662,type,
    sK1734: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2663,type,
    sK1735: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2664,type,
    sK1736: set_complex > ( set_complex > $o ) > complex ).

thf(func_def_2665,type,
    sK1737: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_2666,type,
    sK1738: set_set_int > set_int > set_int ).

thf(func_def_2667,type,
    sK1739: nat > nat > nat ).

thf(func_def_2668,type,
    sK1740: option_num > option_num > ( num > num > num ) > option_num > num ).

thf(func_def_2669,type,
    sK1741: option_num > ( num > num > num ) > option_num > option_num > num ).

thf(func_def_2670,type,
    sK1742: option_num > ( num > num > num ) > option_num > option_num > num ).

thf(func_def_2671,type,
    sK1743: real > nat ).

thf(func_def_2672,type,
    sK1744: set_rat > rat ).

thf(func_def_2673,type,
    sK1745: int > int ).

thf(func_def_2674,type,
    sK1746: list_P6011104703257516679at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2675,type,
    sK1747: real > real ).

thf(func_def_2676,type,
    sK1748: nat > int > ( nat > int ) > nat ).

thf(func_def_2677,type,
    sK1749: nat > ( nat > int ) > nat ).

thf(func_def_2678,type,
    sK1750: ( nat > nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_2679,type,
    sK1751: ( nat > nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_2680,type,
    sK1752: produc6271795597528267376eger_o > ( code_integer > $o > $o ) > code_integer ).

thf(func_def_2681,type,
    sK1753: produc6271795597528267376eger_o > ( code_integer > $o > $o ) > $o ).

thf(func_def_2682,type,
    sK1754: set_int > ( int > real ) > int ).

thf(func_def_2683,type,
    sK1755: real > real ).

thf(func_def_2684,type,
    sK1756: ( num > num > set_int ) > int > product_prod_num_num > num ).

thf(func_def_2685,type,
    sK1757: ( num > num > set_int ) > int > product_prod_num_num > num ).

thf(func_def_2686,type,
    sK1758: option_nat > nat ).

thf(func_def_2687,type,
    sK1759: ( num > nat ) > num ).

thf(func_def_2688,type,
    sK1760: ( num > nat ) > num ).

thf(func_def_2689,type,
    sK1761: real > ( real > real ) > real ).

thf(func_def_2690,type,
    sK1762: ( num > num ) > num ).

thf(func_def_2691,type,
    sK1763: ( num > num ) > num ).

thf(func_def_2692,type,
    sK1764: ( nat > $o ) > nat ).

thf(func_def_2693,type,
    sK1765: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2694,type,
    sK1766: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2695,type,
    sK1767: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2696,type,
    sK1768: nat > real > real ).

thf(func_def_2697,type,
    sK1769: nat > nat > nat ).

thf(func_def_2698,type,
    sK1770: nat > nat > nat ).

thf(func_def_2699,type,
    sK1771: ( int > int > $o ) > ( product_prod_int_int > $o ) > int ).

thf(func_def_2700,type,
    sK1772: ( int > int > $o ) > ( product_prod_int_int > $o ) > int ).

thf(func_def_2701,type,
    sK1773: set_int > ( int > nat ) > int ).

thf(func_def_2702,type,
    sK1774: set_nat > nat ).

thf(func_def_2703,type,
    sK1775: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_2704,type,
    sK1776: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2705,type,
    sK1777: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_2706,type,
    sK1778: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2707,type,
    sK1779: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2708,type,
    sK1780: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2709,type,
    sK1781: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2710,type,
    sK1782: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2711,type,
    sK1783: int > int > int ).

thf(func_def_2712,type,
    sK1784: vEBT_VEBT > $o ).

thf(func_def_2713,type,
    sK1785: vEBT_VEBT > $o ).

thf(func_def_2714,type,
    sK1786: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_2715,type,
    sK1787: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_2716,type,
    sK1788: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_2717,type,
    sK1789: vEBT_VEBT > nat > option_nat > vEBT_VEBT ).

thf(func_def_2718,type,
    sK1790: vEBT_VEBT > nat > option_nat > list_VEBT_VEBT ).

thf(func_def_2719,type,
    sK1791: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_2720,type,
    sK1792: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_2721,type,
    sK1793: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_2722,type,
    sK1794: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_2723,type,
    sK1795: nat > nat ).

thf(func_def_2724,type,
    sK1796: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2725,type,
    sK1797: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2726,type,
    sK1798: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2727,type,
    sK1799: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2728,type,
    sK1800: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2729,type,
    sK1801: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2730,type,
    sK1802: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2731,type,
    sK1803: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2732,type,
    sK1804: vEBT_VEBT > nat ).

thf(func_def_2733,type,
    sK1805: ( nat > real ) > nat ).

thf(func_def_2734,type,
    sK1806: ( int > $o ) > nat ).

thf(func_def_2735,type,
    sK1807: ( int > $o ) > nat ).

thf(func_def_2736,type,
    sK1808: real > ( real > real ) > real > real ).

thf(func_def_2737,type,
    sK1809: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2738,type,
    sK1810: list_VEBT_VEBT > nat ).

thf(func_def_2739,type,
    sK1811: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_2740,type,
    sK1812: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_2741,type,
    sK1813: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_2742,type,
    sK1814: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_2743,type,
    sK1815: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2744,type,
    sK1816: product_prod_int_int > ( int > int > $o ) > ( $o > $o ) > int ).

thf(func_def_2745,type,
    sK1817: product_prod_int_int > ( int > int > $o ) > ( $o > $o ) > int ).

thf(func_def_2746,type,
    sK1818: ( real > real > $o ) > real ).

thf(func_def_2747,type,
    sK1819: ( real > real > $o ) > real ).

thf(func_def_2748,type,
    sK1820: ( real > real > $o ) > real ).

thf(func_def_2749,type,
    sK1821: ( real > real > $o ) > real ).

thf(func_def_2750,type,
    sK1822: set_int > ( int > real ) > ( int > real ) > ( real > real > $o ) > int ).

thf(func_def_2751,type,
    sK1823: ( nat > real ) > nat ).

thf(func_def_2752,type,
    sK1824: ( nat > real ) > nat ).

thf(func_def_2753,type,
    sK1825: set_complex > ( complex > rat ) > complex ).

thf(func_def_2754,type,
    sK1826: ( code_integer > $o > set_complex ) > produc6271795597528267376eger_o > complex > $o ).

thf(func_def_2755,type,
    sK1827: ( code_integer > $o > set_complex ) > produc6271795597528267376eger_o > complex > code_integer ).

thf(func_def_2756,type,
    sK1828: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_2757,type,
    sK1829: ( int > nat ) > set_int > int ).

thf(func_def_2758,type,
    sK1830: vEBT_VEBT > set_VEBT_VEBT > ( vEBT_VEBT > nat ) > vEBT_VEBT ).

thf(func_def_2759,type,
    sK1831: int > ( int > $o ) > int ).

thf(func_def_2760,type,
    sK1832: int > ( int > $o ) > int ).

thf(func_def_2761,type,
    sK1833: ( int > $o ) > int ).

thf(func_def_2762,type,
    sK1834: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2763,type,
    sK1835: set_complex > ( complex > nat ) > complex ).

thf(func_def_2764,type,
    sK1836: set_nat > nat ).

thf(func_def_2765,type,
    sK1837: set_real > ( real > real ) > real ).

thf(func_def_2766,type,
    sK1838: vEBT_VEBT > nat > nat > nat ).

thf(func_def_2767,type,
    sK1839: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_2768,type,
    sK1840: set_complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_2769,type,
    sK1841: list_o > $o > nat ).

thf(func_def_2770,type,
    sK1842: set_nat > nat ).

thf(func_def_2771,type,
    sK1843: complex > real ).

thf(func_def_2772,type,
    sK1844: complex > real ).

thf(func_def_2773,type,
    sK1845: num > num > option_num > num ).

thf(func_def_2774,type,
    sK1846: option_num > num > num > num ).

thf(func_def_2775,type,
    sK1847: option_num > num > num > num ).

thf(func_def_2776,type,
    sK1848: num > option_num > num ).

thf(func_def_2777,type,
    sK1849: num > option_num > num > num ).

thf(func_def_2778,type,
    sK1850: num > option_num > num > num ).

thf(func_def_2779,type,
    sK1851: num > num > option_num > num ).

thf(func_def_2780,type,
    sK1852: num > num > option_num > num ).

thf(func_def_2781,type,
    sK1853: num > option_num > num > num ).

thf(func_def_2782,type,
    sK1854: num > option_num > num > num ).

thf(func_def_2783,type,
    sK1855: num > option_num > num ).

thf(func_def_2784,type,
    sK1856: num > option_num > num > num ).

thf(func_def_2785,type,
    sK1857: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2786,type,
    sK1858: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2787,type,
    sK1859: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2788,type,
    sK1860: ( set_nat > $o ) > nat ).

thf(func_def_2789,type,
    sK1861: ( set_nat > $o ) > set_nat ).

thf(func_def_2790,type,
    sK1862: ( num > num ) > num ).

thf(func_def_2791,type,
    sK1863: ( num > num ) > num ).

thf(func_def_2792,type,
    sK1864: set_real > real ).

thf(func_def_2793,type,
    sK1865: int > set_int > int > int ).

thf(func_def_2794,type,
    sK1866: int > set_int > int > int ).

thf(func_def_2795,type,
    sK1867: ( nat > int ) > nat ).

thf(func_def_2796,type,
    sK1868: num > num ).

thf(func_def_2797,type,
    sK1869: ( real > real ) > real ).

thf(func_def_2798,type,
    sK1870: ( real > real ) > real ).

thf(func_def_2799,type,
    sK1871: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2800,type,
    sK1872: nat > nat > vEBT_VEBT > $o ).

thf(func_def_2801,type,
    sK1873: vEBT_VEBT > nat > nat > product_prod_nat_nat ).

thf(func_def_2802,type,
    sK1874: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_2803,type,
    sK1875: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_2804,type,
    sK1876: nat > nat > vEBT_VEBT > nat ).

thf(func_def_2805,type,
    sK1877: nat > nat > vEBT_VEBT > nat ).

thf(func_def_2806,type,
    sK1878: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2807,type,
    sK1879: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2808,type,
    sK1880: nat > nat > vEBT_VEBT > nat ).

thf(func_def_2809,type,
    sK1881: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2810,type,
    sK1882: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2811,type,
    sK1883: nat > nat > vEBT_VEBT > nat ).

thf(func_def_2812,type,
    sK1884: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2813,type,
    sK1885: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2814,type,
    sK1886: nat > nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2815,type,
    sK1887: rat > int ).

thf(func_def_2816,type,
    sK1888: ( nat > $o ) > nat > nat ).

thf(func_def_2817,type,
    sK1889: ( nat > nat > $o ) > nat ).

thf(func_def_2818,type,
    sK1890: ( nat > nat > $o ) > nat ).

thf(func_def_2819,type,
    sK1891: ( nat > nat > $o ) > nat ).

thf(func_def_2820,type,
    sK1892: product_prod_nat_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_2821,type,
    sK1893: rat > nat ).

thf(func_def_2822,type,
    sK1894: complex > ( nat > num > set_complex ) > product_prod_nat_num > num ).

thf(func_def_2823,type,
    sK1895: complex > ( nat > num > set_complex ) > product_prod_nat_num > nat ).

thf(func_def_2824,type,
    sK1896: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2825,type,
    sK1897: produc9072475918466114483BT_nat > nat ).

thf(func_def_2826,type,
    sK1898: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2827,type,
    sK1899: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2828,type,
    sK1900: produc9072475918466114483BT_nat > nat ).

thf(func_def_2829,type,
    sK1901: produc9072475918466114483BT_nat > $o ).

thf(func_def_2830,type,
    sK1902: produc9072475918466114483BT_nat > $o ).

thf(func_def_2831,type,
    sK1903: produc9072475918466114483BT_nat > nat ).

thf(func_def_2832,type,
    sK1904: int > int ).

thf(func_def_2833,type,
    sK1905: int > nat ).

thf(func_def_2834,type,
    sK1906: option_num > num > num ).

thf(func_def_2835,type,
    sK1907: option_num > num > num > num ).

thf(func_def_2836,type,
    sK1908: option_num > num > num > num ).

thf(func_def_2837,type,
    sK1909: num > option_num > num > num ).

thf(func_def_2838,type,
    sK1910: num > option_num > num > num ).

thf(func_def_2839,type,
    sK1911: num > option_num > num > num ).

thf(func_def_2840,type,
    sK1912: num > option_num > num > num ).

thf(func_def_2841,type,
    sK1913: option_num > num > num ).

thf(func_def_2842,type,
    sK1914: num > num > option_num > num ).

thf(func_def_2843,type,
    sK1915: num > num > option_num > num ).

thf(func_def_2844,type,
    sK1916: num > num > option_num > num ).

thf(func_def_2845,type,
    sK1917: num > num > option_num > num ).

thf(func_def_2846,type,
    sK1918: int > int > int ).

thf(func_def_2847,type,
    sK1919: ( rat > rat ) > rat ).

thf(func_def_2848,type,
    sK1920: ( rat > rat ) > rat ).

thf(func_def_2849,type,
    sK1921: ( nat > real ) > real > real ).

thf(func_def_2850,type,
    sK1922: code_integer > code_integer > code_integer ).

thf(func_def_2851,type,
    sK1923: real > real ).

thf(func_def_2852,type,
    sK1924: option4927543243414619207at_nat > option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2853,type,
    sK1925: option4927543243414619207at_nat > option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2854,type,
    sK1926: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_2855,type,
    sK1927: ( num > num ) > num ).

thf(func_def_2856,type,
    sK1928: ( num > num ) > num ).

thf(func_def_2857,type,
    sK1929: ( rat > rat ) > rat ).

thf(func_def_2858,type,
    sK1930: ( rat > rat ) > rat ).

thf(func_def_2859,type,
    sK1931: real > real > real ).

thf(func_def_2860,type,
    sK1932: real > int ).

thf(func_def_2861,type,
    sK1933: ( nat > $o ) > nat > nat ).

thf(func_def_2862,type,
    sK1934: real > nat > real ).

thf(func_def_2863,type,
    sK1935: code_integer > code_integer > code_integer ).

thf(func_def_2864,type,
    sK1936: set_int > ( int > real ) > int ).

thf(func_def_2865,type,
    sK1937: num > num > num ).

thf(func_def_2866,type,
    sK1938: num > num > num > num ).

thf(func_def_2867,type,
    sK1939: num > num > num > num ).

thf(func_def_2868,type,
    sK1940: num > num ).

thf(func_def_2869,type,
    sK1941: num > num > num > num ).

thf(func_def_2870,type,
    sK1942: num > num > num > num ).

thf(func_def_2871,type,
    sK1943: num > num > num > num ).

thf(func_def_2872,type,
    sK1944: num > num > num > num ).

thf(func_def_2873,type,
    sK1945: num > num > num > num ).

thf(func_def_2874,type,
    sK1946: num > num > num > num ).

thf(func_def_2875,type,
    sK1947: num > num > num ).

thf(func_def_2876,type,
    sK1948: num > num ).

thf(func_def_2877,type,
    sK1949: int > set_int > ( int > $o ) > int ).

thf(func_def_2878,type,
    sK1950: int > set_int > ( int > $o ) > int ).

thf(func_def_2879,type,
    sK1951: ( int > $o ) > int > int ).

thf(func_def_2880,type,
    sK1952: ( int > $o ) > int ).

thf(func_def_2881,type,
    sK1953: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2882,type,
    sK1954: int > ( int > $o ) > int ).

thf(func_def_2883,type,
    sK1955: int > ( int > $o ) > int ).

thf(func_def_2884,type,
    sK1956: set_int > ( int > $o ) > int > int ).

thf(func_def_2885,type,
    sK1957: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2886,type,
    sK1958: int > int > int ).

thf(func_def_2887,type,
    sK1959: ( complex > complex > $o ) > complex ).

thf(func_def_2888,type,
    sK1960: ( complex > complex > $o ) > complex ).

thf(func_def_2889,type,
    sK1961: ( complex > complex > $o ) > complex ).

thf(func_def_2890,type,
    sK1962: ( complex > complex > $o ) > complex ).

thf(func_def_2891,type,
    sK1963: ( complex > complex > $o ) > ( int > complex ) > ( int > complex ) > set_int > int ).

thf(func_def_2892,type,
    sK1964: vEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2893,type,
    sK1965: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2894,type,
    sK1966: set_real > set_real > ( real > int ) > set_int > set_int > real ).

thf(func_def_2895,type,
    sK1967: set_int > ( int > real ) > ( real > real ) > ( int > real ) > int ).

thf(func_def_2896,type,
    sK1968: ( int > real ) > set_real > set_real > set_int > set_int > int ).

thf(func_def_2897,type,
    sK1969: set_real > ( real > real ) > real ).

thf(func_def_2898,type,
    sK1970: ( real > int ) > set_real > set_real > ( int > real ) > real ).

thf(func_def_2899,type,
    sK1971: ( real > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_2900,type,
    sK1972: ( int > real ) > set_int > int ).

thf(func_def_2901,type,
    sK1973: num > num ).

thf(func_def_2902,type,
    sK1974: set_set_int > set_int ).

thf(func_def_2903,type,
    sK1975: ( real > $o ) > real > nat > real ).

thf(func_def_2904,type,
    sK1976: produc6271795597528267376eger_o > code_integer ).

thf(func_def_2905,type,
    sK1977: produc6271795597528267376eger_o > $o ).

thf(func_def_2906,type,
    sK1978: set_real > ( real > real ) > real ).

thf(func_def_2907,type,
    sK1979: ( nat > nat > $o ) > nat ).

thf(func_def_2908,type,
    sK1980: ( nat > nat > $o ) > nat ).

thf(func_def_2909,type,
    sK1981: ( nat > nat > $o ) > nat ).

thf(func_def_2910,type,
    sK1982: ( nat > nat > $o ) > nat ).

thf(func_def_2911,type,
    sK1983: ( nat > nat > $o ) > nat ).

thf(func_def_2912,type,
    sK1984: int > int > int ).

thf(func_def_2913,type,
    sK1985: int > int > int ).

thf(func_def_2914,type,
    sK1986: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_2915,type,
    sK1987: set_int > ( int > real ) > int ).

thf(func_def_2916,type,
    sK1988: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_2917,type,
    sK1989: set_int > ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_2918,type,
    sK1990: set_int > ( int > real ) > ( int > int ) > ( int > real ) > int ).

thf(func_def_2919,type,
    sK1991: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_2920,type,
    sK1992: set_int > ( int > real ) > int ).

thf(func_def_2921,type,
    sK1993: ( nat > nat ) > nat ).

thf(func_def_2922,type,
    sK1994: set_real > ( real > rat ) > ( real > rat ) > real ).

thf(func_def_2923,type,
    sK1995: rat > rat > rat > rat ).

thf(func_def_2924,type,
    sK1996: ( int > rat ) > int ).

thf(func_def_2925,type,
    sK1997: ( int > rat ) > int ).

thf(func_def_2926,type,
    sK1998: set_complex > ( complex > rat ) > complex ).

thf(func_def_2927,type,
    sK1999: set_complex > ( complex > rat ) > complex ).

thf(func_def_2928,type,
    sK2000: set_int > set_int > ( int > complex ) > int ).

thf(func_def_2929,type,
    sK2001: ( nat > rat ) > nat ).

thf(func_def_2930,type,
    sK2002: ( nat > rat ) > nat ).

thf(func_def_2931,type,
    sK2003: rat > int ).

thf(func_def_2932,type,
    sK2004: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2933,type,
    sK2005: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2934,type,
    sK2006: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2935,type,
    sK2007: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2936,type,
    sK2008: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2937,type,
    sK2009: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2938,type,
    sK2010: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2939,type,
    sK2011: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2940,type,
    sK2012: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2941,type,
    sK2013: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2942,type,
    sK2014: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2943,type,
    sK2015: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2944,type,
    sK2016: vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2945,type,
    sK2017: vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2946,type,
    sK2018: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2947,type,
    sK2019: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2948,type,
    sK2020: real > real > real ).

thf(func_def_2949,type,
    sK2021: nat > nat ).

thf(func_def_2950,type,
    sK2022: ( int > int > $o ) > int ).

thf(func_def_2951,type,
    sK2023: ( int > int > $o ) > int ).

thf(func_def_2952,type,
    sK2024: ( int > int > $o ) > int ).

thf(func_def_2953,type,
    sK2025: ( int > int > $o ) > int ).

thf(func_def_2954,type,
    sK2026: ( nat > int ) > ( int > int > $o ) > ( nat > int ) > set_nat > nat ).

thf(func_def_2955,type,
    sK2027: ( int > $o ) > int ).

thf(func_def_2956,type,
    sK2028: ( int > $o ) > int ).

thf(func_def_2957,type,
    sK2029: ( int > $o ) > $o ).

thf(func_def_2958,type,
    sK2030: nat > nat > nat ).

thf(func_def_2959,type,
    sK2031: ( complex > nat ) > set_complex > complex ).

thf(func_def_2960,type,
    sK2032: int > nat ).

thf(func_def_2961,type,
    sK2033: set_nat > list_nat > nat ).

thf(func_def_2962,type,
    sK2034: ( real > real ) > set_real > ( real > real ) > real ).

thf(func_def_2963,type,
    sK2035: set_list_o > nat ).

thf(func_def_2964,type,
    sK2036: ( int > rat ) > ( int > rat ) > set_int > ( int > int ) > set_int > int ).

thf(func_def_2965,type,
    sK2037: ( int > rat ) > set_int > int ).

thf(func_def_2966,type,
    sK2038: ( nat > rat ) > set_nat > nat ).

thf(func_def_2967,type,
    sK2039: real > real > nat ).

thf(func_def_2968,type,
    sK2040: ( int > code_integer ) > set_int > int ).

thf(func_def_2969,type,
    sK2041: ( int > code_integer ) > code_integer > code_integer > set_int > int ).

thf(func_def_2970,type,
    sK2042: ( set_VEBT_VEBT > $o ) > ( vEBT_VEBT > num ) > vEBT_VEBT ).

thf(func_def_2971,type,
    sK2043: ( set_VEBT_VEBT > $o ) > ( vEBT_VEBT > num ) > set_VEBT_VEBT ).

thf(func_def_2972,type,
    sK2044: ( rat > int ) > rat ).

thf(func_def_2973,type,
    sK2045: ( rat > int ) > rat ).

thf(func_def_2974,type,
    sK2046: real > ( real > real ) > real ).

thf(func_def_2975,type,
    sK2047: set_real > set_real > ( real > nat ) > real ).

thf(func_def_2976,type,
    sK2048: set_real > ( real > nat ) > ( real > nat ) > real ).

thf(func_def_2977,type,
    sK2049: ( rat > real ) > rat ).

thf(func_def_2978,type,
    sK2050: ( rat > real ) > rat ).

thf(func_def_2979,type,
    sK2051: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2980,type,
    sK2052: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2981,type,
    sK2053: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2982,type,
    sK2054: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2983,type,
    sK2055: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2984,type,
    sK2056: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2985,type,
    sK2057: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2986,type,
    sK2058: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_2987,type,
    sK2059: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2988,type,
    sK2060: ( nat > rat ) > nat ).

thf(func_def_2989,type,
    sK2061: ( nat > rat ) > nat ).

thf(func_def_2990,type,
    sK2062: product_prod_nat_num > num ).

thf(func_def_2991,type,
    sK2063: product_prod_nat_num > nat ).

thf(func_def_2992,type,
    sK2064: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_2993,type,
    sK2065: option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2994,type,
    sK2066: option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2995,type,
    sK2067: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2996,type,
    sK2068: nat > product_prod_num_num > ( num > num > set_nat ) > num ).

thf(func_def_2997,type,
    sK2069: nat > product_prod_num_num > ( num > num > set_nat ) > num ).

thf(func_def_2998,type,
    sK2070: ( set_num > $o ) > num ).

thf(func_def_2999,type,
    sK2071: ( set_num > $o ) > set_num ).

thf(func_def_3000,type,
    sK2072: ( num > rat ) > num ).

thf(func_def_3001,type,
    sK2073: ( num > rat ) > num ).

thf(func_def_3002,type,
    sK2074: int > int > int > int ).

thf(func_def_3003,type,
    sK2075: int > int > int > int ).

thf(func_def_3004,type,
    sK2076: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3005,type,
    sK2077: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3006,type,
    sK2078: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3007,type,
    sK2079: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3008,type,
    sK2080: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3009,type,
    sK2081: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3010,type,
    sK2082: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3011,type,
    sK2083: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3012,type,
    sK2084: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3013,type,
    sK2085: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3014,type,
    sK2086: nat > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3015,type,
    sK2087: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3016,type,
    sK2088: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3017,type,
    sK2089: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3018,type,
    sK2090: nat > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3019,type,
    sK2091: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3020,type,
    sK2092: nat > nat > nat ).

thf(func_def_3021,type,
    sK2093: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_3022,type,
    sK2094: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_3023,type,
    sK2095: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_3024,type,
    sK2096: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_3025,type,
    sK2097: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_3026,type,
    sK2098: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_3027,type,
    sK2099: produc5491161045314408544at_nat > option4927543243414619207at_nat ).

thf(func_def_3028,type,
    sK2100: set_nat > nat ).

thf(func_def_3029,type,
    sK2101: nat > nat ).

thf(func_def_3030,type,
    sK2102: ( num > int ) > num ).

thf(func_def_3031,type,
    sK2103: ( num > int ) > num ).

thf(func_def_3032,type,
    sK2104: real > real > ( real > real ) > real ).

thf(func_def_3033,type,
    sK2105: real > real > ( real > real ) > real ).

thf(func_def_3034,type,
    sK2106: $o > list_o > $o ).

thf(func_def_3035,type,
    sK2107: ( int > $o ) > real > int ).

thf(func_def_3036,type,
    sK2108: rat > rat ).

thf(func_def_3037,type,
    sK2109: ( complex > $o ) > list_complex > complex ).

thf(func_def_3038,type,
    sK2110: ( set_complex > $o ) > set_complex ).

thf(func_def_3039,type,
    sK2111: ( set_complex > $o ) > complex ).

thf(func_def_3040,type,
    sK2112: int > int > int > int ).

thf(func_def_3041,type,
    sK2113: int > int > int > int ).

thf(func_def_3042,type,
    sK2114: ( num > rat ) > num ).

thf(func_def_3043,type,
    sK2115: ( num > rat ) > num ).

thf(func_def_3044,type,
    sK2116: rat > rat ).

thf(func_def_3045,type,
    sK2117: real > real ).

thf(func_def_3046,type,
    sK2118: real > list_real > nat ).

thf(func_def_3047,type,
    sK2119: nat > ( nat > $o ) > nat ).

thf(func_def_3048,type,
    sK2120: ( nat > $o ) > nat ).

thf(func_def_3049,type,
    sK2121: real > int ).

thf(func_def_3050,type,
    sK2122: nat > ( nat > $o ) > nat ).

thf(func_def_3051,type,
    sK2123: nat > ( nat > $o ) > nat ).

thf(func_def_3052,type,
    sK2124: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3053,type,
    sK2125: vEBT_VEBT > nat ).

thf(func_def_3054,type,
    sK2126: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3055,type,
    sK2127: ( int > real ) > ( int > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_3056,type,
    sK2128: ( int > real ) > set_int > int ).

thf(func_def_3057,type,
    sK2129: ( rat > rat ) > rat ).

thf(func_def_3058,type,
    sK2130: ( rat > rat ) > rat ).

thf(func_def_3059,type,
    sK2131: ( real > real ) > ( real > real ) > set_real > set_real > real ).

thf(func_def_3060,type,
    sK2132: set_real > ( real > complex ) > ( real > complex ) > ( real > real ) > real ).

thf(func_def_3061,type,
    sK2133: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3062,type,
    sK2134: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3063,type,
    sK2135: ( real > real ) > ( real > real ) > set_real > set_real > real ).

thf(func_def_3064,type,
    sK2136: set_real > ( real > complex ) > real ).

thf(func_def_3065,type,
    sK2137: ( real > complex ) > set_real > real ).

thf(func_def_3066,type,
    sK2138: ( option_nat > option_nat > $o ) > option_nat > option_nat > nat ).

thf(func_def_3067,type,
    sK2139: ( option_nat > option_nat > $o ) > option_nat > option_nat > nat ).

thf(func_def_3068,type,
    sK2140: set_int > ( int > real ) > ( int > real ) > int ).

thf(func_def_3069,type,
    sK2141: vEBT_VEBT > nat > nat > product_prod_nat_nat ).

thf(func_def_3070,type,
    sK2142: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3071,type,
    sK2143: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3072,type,
    sK2144: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3073,type,
    sK2145: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3074,type,
    sK2146: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3075,type,
    sK2147: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3076,type,
    sK2148: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3077,type,
    sK2149: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3078,type,
    sK2150: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3079,type,
    sK2151: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3080,type,
    sK2152: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3081,type,
    sK2153: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3082,type,
    sK2154: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3083,type,
    sK2155: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3084,type,
    sK2156: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3085,type,
    sK2157: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3086,type,
    sK2158: nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_3087,type,
    sK2159: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3088,type,
    sK2160: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3089,type,
    sK2161: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3090,type,
    sK2162: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3091,type,
    sK2163: set_complex > set_complex > ( complex > real ) > complex ).

thf(func_def_3092,type,
    sK2164: ( num > real ) > num ).

thf(func_def_3093,type,
    sK2165: ( num > real ) > num ).

thf(func_def_3094,type,
    sK2166: ( real > num ) > real ).

thf(func_def_3095,type,
    sK2167: ( real > num ) > real ).

thf(func_def_3096,type,
    sK2168: int > int ).

thf(func_def_3097,type,
    sK2169: ( nat > real > real ) > real ).

thf(func_def_3098,type,
    sK2170: ( nat > real > real ) > nat ).

thf(func_def_3099,type,
    sK2171: ( nat > real > real ) > real > ( real > real ) > nat > real ).

thf(func_def_3100,type,
    sK2172: nat > vEBT_VEBT > $o ).

thf(func_def_3101,type,
    sK2173: nat > vEBT_VEBT > $o ).

thf(func_def_3102,type,
    sK2174: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3103,type,
    sK2175: nat > vEBT_VEBT > nat ).

thf(func_def_3104,type,
    sK2176: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3105,type,
    sK2177: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3106,type,
    sK2178: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3107,type,
    sK2179: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3108,type,
    sK2180: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3109,type,
    sK2181: ( ( nat > nat > nat ) > nat > nat > nat > $o ) > nat ).

thf(func_def_3110,type,
    sK2182: ( ( nat > nat > nat ) > nat > nat > nat > $o ) > nat > nat > nat ).

thf(func_def_3111,type,
    sK2183: ( ( nat > nat > nat ) > nat > nat > nat > $o ) > nat ).

thf(func_def_3112,type,
    sK2184: ( ( nat > nat > nat ) > nat > nat > nat > $o ) > nat ).

thf(func_def_3113,type,
    sK2185: set_nat > nat ).

thf(func_def_3114,type,
    sK2186: nat > set_nat > nat ).

thf(func_def_3115,type,
    sK2187: nat > list_nat ).

thf(func_def_3116,type,
    sK2188: nat > ( nat > vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_3117,type,
    sK2189: list_VEBT_VEBT > ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_3118,type,
    sK2190: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).

thf(func_def_3119,type,
    sK2191: ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_3120,type,
    sK2192: set_nat > nat > nat ).

thf(func_def_3121,type,
    sK2193: ( complex > $o ) > complex > complex ).

thf(func_def_3122,type,
    sK2194: ( complex > $o ) > complex > complex ).

thf(func_def_3123,type,
    sK2195: complex > ( complex > $o ) > complex ).

thf(func_def_3124,type,
    sK2196: complex > ( complex > $o ) > complex ).

thf(func_def_3125,type,
    sK2197: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_3126,type,
    sK2198: set_complex > ( complex > rat ) > ( complex > rat ) > complex ).

thf(func_def_3127,type,
    sK2199: int > set_int > int > int ).

thf(func_def_3128,type,
    sK2200: int > set_int > int > int ).

thf(func_def_3129,type,
    sK2201: ( int > $o ) > set_int > int > int ).

thf(func_def_3130,type,
    sK2202: ( int > $o ) > set_int > int > int ).

thf(func_def_3131,type,
    sK2203: ( product_prod_int_int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).

thf(func_def_3132,type,
    sK2204: ( product_prod_int_int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).

thf(func_def_3133,type,
    sK2205: real > product_prod_num_num > ( num > num > set_real ) > num ).

thf(func_def_3134,type,
    sK2206: real > product_prod_num_num > ( num > num > set_real ) > num ).

thf(func_def_3135,type,
    sK2207: ( nat > num ) > nat ).

thf(func_def_3136,type,
    sK2208: ( nat > num ) > nat ).

thf(func_def_3137,type,
    sK2209: int > set_int > int > int ).

thf(func_def_3138,type,
    sK2210: int > set_int > int > int ).

thf(func_def_3139,type,
    sK2211: ( complex > rat ) > set_complex > complex ).

thf(func_def_3140,type,
    sK2212: ( real > real ) > real > real > real ).

thf(func_def_3141,type,
    sK2213: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3142,type,
    sK2214: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3143,type,
    sK2215: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3144,type,
    sK2216: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3145,type,
    sK2217: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3146,type,
    sK2218: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3147,type,
    sK2219: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3148,type,
    sK2220: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3149,type,
    sK2221: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3150,type,
    sK2222: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3151,type,
    sK2223: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3152,type,
    sK2224: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3153,type,
    sK2225: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3154,type,
    sK2226: nat > nat > vEBT_VEBT > $o ).

thf(func_def_3155,type,
    sK2227: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3156,type,
    sK2228: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3157,type,
    sK2229: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3158,type,
    sK2230: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3159,type,
    sK2231: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3160,type,
    sK2232: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3161,type,
    sK2233: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3162,type,
    sK2234: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3163,type,
    sK2235: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3164,type,
    sK2236: ( nat > real ) > nat ).

thf(func_def_3165,type,
    sK2237: set_rat > rat > rat ).

thf(func_def_3166,type,
    sK2238: set_int > ( int > nat ) > int ).

thf(func_def_3167,type,
    sK2239: ( nat > $o ) > nat ).

thf(func_def_3168,type,
    sK2240: ( nat > $o ) > nat ).

thf(func_def_3169,type,
    sK2241: ( nat > rat ) > nat ).

thf(func_def_3170,type,
    sK2242: ( nat > rat ) > nat ).

thf(func_def_3171,type,
    sK2243: ( complex > real ) > set_int > set_complex > ( complex > int ) > ( int > real ) > int ).

thf(func_def_3172,type,
    sK2244: ( complex > real ) > set_complex > complex ).

thf(func_def_3173,type,
    sK2245: ( complex > int ) > set_complex > ( complex > int ) > complex ).

thf(func_def_3174,type,
    sK2246: ( real > real ) > real ).

thf(func_def_3175,type,
    sK2247: ( real > real ) > real ).

thf(func_def_3176,type,
    sK2248: product_prod_nat_nat > nat ).

thf(func_def_3177,type,
    sK2249: product_prod_nat_nat > nat ).

thf(func_def_3178,type,
    sK2250: int > set_int > int > int ).

thf(func_def_3179,type,
    sK2251: int > set_int > int > int ).

thf(func_def_3180,type,
    sK2252: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_3181,type,
    sK2253: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_3182,type,
    sK2254: real > real > real ).

thf(func_def_3183,type,
    sK2255: set_real > ( real > nat ) > real ).

thf(func_def_3184,type,
    sK2256: nat > vEBT_VEBT > nat ).

thf(func_def_3185,type,
    sK2257: nat > vEBT_VEBT > nat ).

thf(func_def_3186,type,
    sK2258: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3187,type,
    sK2259: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3188,type,
    sK2260: nat > vEBT_VEBT > nat ).

thf(func_def_3189,type,
    sK2261: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3190,type,
    sK2262: nat > vEBT_VEBT > nat ).

thf(func_def_3191,type,
    sK2263: nat > vEBT_VEBT > nat ).

thf(func_def_3192,type,
    sK2264: nat > vEBT_VEBT > nat ).

thf(func_def_3193,type,
    sK2265: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3194,type,
    sK2266: vEBT_VEBT > nat > nat ).

thf(func_def_3195,type,
    sK2267: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3196,type,
    sK2268: vEBT_VEBT > nat > nat ).

thf(func_def_3197,type,
    sK2269: vEBT_VEBT > nat > nat ).

thf(func_def_3198,type,
    sK2270: vEBT_VEBT > nat > nat ).

thf(func_def_3199,type,
    sK2271: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3200,type,
    sK2272: vEBT_VEBT > nat > nat ).

thf(func_def_3201,type,
    sK2273: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3202,type,
    sK2274: vEBT_VEBT > nat > nat ).

thf(func_def_3203,type,
    sK2275: vEBT_VEBT > nat > nat ).

thf(func_def_3204,type,
    sK2276: vEBT_VEBT > nat > nat ).

thf(func_def_3205,type,
    sK2277: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3206,type,
    sK2278: vEBT_VEBT > nat > nat ).

thf(func_def_3207,type,
    sK2279: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3208,type,
    sK2280: vEBT_VEBT > nat > nat ).

thf(func_def_3209,type,
    sK2281: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3210,type,
    sK2282: vEBT_VEBT > $o ).

thf(func_def_3211,type,
    sK2283: vEBT_VEBT > $o ).

thf(func_def_3212,type,
    sK2284: ( set_real > $o ) > set_real > set_real ).

thf(func_def_3213,type,
    sK2285: ( set_real > $o ) > set_real > real ).

thf(func_def_3214,type,
    sK2286: set_real > ( real > rat ) > real ).

thf(func_def_3215,type,
    sK2287: ( int > $o ) > list_int > nat ).

thf(func_def_3216,type,
    sK2288: set_real > real ).

thf(func_def_3217,type,
    sK2289: vEBT_VEBT > nat > $o > $o ).

thf(func_def_3218,type,
    sK2290: vEBT_VEBT > nat > $o > $o ).

thf(func_def_3219,type,
    sK2291: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3220,type,
    sK2292: nat > $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3221,type,
    sK2293: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3222,type,
    sK2294: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3223,type,
    sK2295: nat > $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3224,type,
    sK2296: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3225,type,
    sK2297: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3226,type,
    sK2298: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3227,type,
    sK2299: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3228,type,
    sK2300: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3229,type,
    sK2301: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3230,type,
    sK2302: vEBT_VEBT > nat ).

thf(func_def_3231,type,
    sK2303: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3232,type,
    sK2304: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3233,type,
    sK2305: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3234,type,
    sK2306: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3235,type,
    sK2307: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3236,type,
    sK2308: int > ( int > $o ) > int ).

thf(func_def_3237,type,
    sK2309: ( int > real ) > set_int > int ).

thf(func_def_3238,type,
    sK2310: ( real > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_3239,type,
    sK2311: ( int > real ) > set_real > set_real > set_int > set_int > int ).

thf(func_def_3240,type,
    sK2312: ( real > int ) > ( int > real ) > set_real > set_real > real ).

thf(func_def_3241,type,
    sK2313: ( real > int ) > set_int > set_real > set_real > set_int > real ).

thf(func_def_3242,type,
    sK2314: ( real > real ) > set_real > real ).

thf(func_def_3243,type,
    sK2315: ( real > int ) > ( real > real ) > set_real > ( int > real ) > real ).

thf(func_def_3244,type,
    sK2316: ( set_int > $o ) > int ).

thf(func_def_3245,type,
    sK2317: ( set_int > $o ) > set_int ).

thf(func_def_3246,type,
    sK2318: ( set_int > $o ) > set_int > int ).

thf(func_def_3247,type,
    sK2319: ( set_int > $o ) > set_int > set_int ).

thf(func_def_3248,type,
    sK2320: real > ( nat > real ) > nat ).

thf(func_def_3249,type,
    sK2321: list_o > list_o > nat ).

thf(func_def_3250,type,
    sK2322: set_int > int > int ).

thf(func_def_3251,type,
    sK2323: int > nat ).

thf(func_def_3252,type,
    sK2324: int > nat ).

thf(func_def_3253,type,
    sK2325: nat > nat ).

thf(func_def_3254,type,
    sK2326: ( real > real ) > set_real > real ).

thf(func_def_3255,type,
    sK2327: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3256,type,
    sK2328: ( real > int ) > real ).

thf(func_def_3257,type,
    sK2329: ( real > int ) > real ).

thf(func_def_3258,type,
    sK2330: nat > nat > nat ).

thf(func_def_3259,type,
    sK2331: ( int > num ) > int ).

thf(func_def_3260,type,
    sK2332: ( int > num ) > int ).

thf(func_def_3261,type,
    sK2333: ( nat > $o ) > nat ).

thf(func_def_3262,type,
    sK2334: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3263,type,
    sK2335: vEBT_VEBT > nat ).

thf(func_def_3264,type,
    sK2336: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3265,type,
    sK2337: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3266,type,
    sK2338: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3267,type,
    sK2339: vEBT_VEBT > nat ).

thf(func_def_3268,type,
    sK2340: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3269,type,
    sK2341: vEBT_VEBT > $o ).

thf(func_def_3270,type,
    sK2342: vEBT_VEBT > $o ).

thf(func_def_3271,type,
    sK2343: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_3272,type,
    sK2344: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3273,type,
    sK2345: real > real ).

thf(func_def_3274,type,
    sK2346: complex > complex > complex ).

thf(func_def_3275,type,
    sK2347: num > num ).

thf(func_def_3276,type,
    sK2348: rat > rat > rat ).

thf(func_def_3277,type,
    sK2349: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_3278,type,
    sK2350: set_int > ( int > real ) > int ).

thf(func_def_3279,type,
    sK2351: ( complex > rat ) > set_complex > complex ).

thf(func_def_3280,type,
    sK2352: ( nat > $o ) > nat ).

thf(func_def_3281,type,
    sK2353: ( int > rat ) > set_int > int ).

thf(func_def_3282,type,
    sK2354: ( int > rat ) > set_int > int ).

thf(func_def_3283,type,
    sK2355: set_nat > nat > nat ).

thf(func_def_3284,type,
    sK2356: set_real > ( real > int ) > real ).

thf(func_def_3285,type,
    sK2357: num > num ).

thf(func_def_3286,type,
    sK2358: num > num ).

thf(func_def_3287,type,
    sK2359: num > option_num > num > num ).

thf(func_def_3288,type,
    sK2360: num > option_num > num > num ).

thf(func_def_3289,type,
    sK2361: num > num ).

thf(func_def_3290,type,
    sK2362: num > num ).

thf(func_def_3291,type,
    sK2363: num > num > option_num > num ).

thf(func_def_3292,type,
    sK2364: num > num > option_num > num ).

thf(func_def_3293,type,
    sK2365: num > option_num > num > num ).

thf(func_def_3294,type,
    sK2366: num > option_num > num > num ).

thf(func_def_3295,type,
    sK2367: num > num > option_num > num ).

thf(func_def_3296,type,
    sK2368: num > num > option_num > num ).

thf(func_def_3297,type,
    sK2369: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_3298,type,
    sK2370: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3299,type,
    sK2371: vEBT_VEBT > nat ).

thf(func_def_3300,type,
    sK2372: ( nat > $o ) > nat ).

thf(func_def_3301,type,
    sK2373: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3302,type,
    sK2374: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3303,type,
    sK2375: nat > vEBT_VEBT > nat ).

thf(func_def_3304,type,
    sK2376: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3305,type,
    sK2377: nat > vEBT_VEBT > $o ).

thf(func_def_3306,type,
    sK2378: nat > vEBT_VEBT > $o ).

thf(func_def_3307,type,
    sK2379: set_int > set_complex > ( int > real ) > ( complex > real ) > ( int > complex ) > complex ).

thf(func_def_3308,type,
    sK2380: set_int > ( int > real ) > int ).

thf(func_def_3309,type,
    sK2381: rat > ( rat > $o ) > rat ).

thf(func_def_3310,type,
    sK2382: rat > ( rat > $o ) > rat ).

thf(func_def_3311,type,
    sK2383: ( rat > $o ) > rat > rat ).

thf(func_def_3312,type,
    sK2384: ( rat > $o ) > rat > rat ).

thf(func_def_3313,type,
    sK2385: real > real ).

thf(func_def_3314,type,
    sK2386: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3315,type,
    sK2387: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_3316,type,
    sK2388: ( nat > nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3317,type,
    sK2389: ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3318,type,
    sK2390: ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3319,type,
    sK2391: ( rat > rat > $o ) > rat ).

thf(func_def_3320,type,
    sK2392: ( rat > rat > $o ) > rat ).

thf(func_def_3321,type,
    sK2393: ( rat > rat > $o ) > rat ).

thf(func_def_3322,type,
    sK2394: ( rat > rat > $o ) > rat ).

thf(func_def_3323,type,
    sK2395: ( rat > rat > $o ) > set_complex > ( complex > rat ) > ( complex > rat ) > complex ).

thf(func_def_3324,type,
    sK2396: real > real ).

thf(func_def_3325,type,
    sK2397: ( rat > num ) > rat ).

thf(func_def_3326,type,
    sK2398: ( rat > num ) > rat ).

thf(func_def_3327,type,
    sK2399: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3328,type,
    sK2400: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3329,type,
    sK2401: int > int ).

thf(func_def_3330,type,
    sK2402: ( rat > num ) > rat ).

thf(func_def_3331,type,
    sK2403: ( rat > num ) > rat ).

thf(func_def_3332,type,
    sK2404: nat > nat ).

thf(func_def_3333,type,
    sK2405: ( nat > complex ) > set_nat > ( nat > real ) > nat ).

thf(func_def_3334,type,
    sK2406: nat > nat > nat ).

thf(func_def_3335,type,
    sK2407: nat > nat > nat ).

thf(func_def_3336,type,
    sK2408: nat > nat > nat ).

thf(func_def_3337,type,
    sK2409: vEBT_VEBT > $o ).

thf(func_def_3338,type,
    sK2410: vEBT_VEBT > $o ).

thf(func_def_3339,type,
    sK2411: nat > vEBT_VEBT > nat ).

thf(func_def_3340,type,
    sK2412: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3341,type,
    sK2413: nat > vEBT_VEBT > nat ).

thf(func_def_3342,type,
    sK2414: nat > vEBT_VEBT > nat ).

thf(func_def_3343,type,
    sK2415: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3344,type,
    sK2416: vEBT_VEBT > nat > $o ).

thf(func_def_3345,type,
    sK2417: vEBT_VEBT > nat > $o ).

thf(func_def_3346,type,
    sK2418: ( nat > nat ) > set_nat > nat ).

thf(func_def_3347,type,
    sK2419: nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_3348,type,
    sK2420: $o > list_o > $o ).

thf(func_def_3349,type,
    sK2421: ( set_complex > $o ) > set_complex ).

thf(func_def_3350,type,
    sK2422: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3351,type,
    sK2423: ( rat > num ) > rat ).

thf(func_def_3352,type,
    sK2424: ( rat > num ) > rat ).

thf(func_def_3353,type,
    sK2425: ( real > $o ) > real ).

thf(func_def_3354,type,
    sK2426: nat > nat > nat > nat ).

thf(func_def_3355,type,
    sK2427: nat > nat > nat > nat ).

thf(func_def_3356,type,
    sK2428: nat > nat ).

thf(func_def_3357,type,
    sK2429: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3358,type,
    sK2430: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3359,type,
    sK2431: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3360,type,
    sK2432: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3361,type,
    sK2433: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3362,type,
    sK2434: vEBT_VEBT > nat ).

thf(func_def_3363,type,
    sK2435: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3364,type,
    sK2436: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3365,type,
    sK2437: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3366,type,
    sK2438: vEBT_VEBT > $o ).

thf(func_def_3367,type,
    sK2439: vEBT_VEBT > $o ).

thf(func_def_3368,type,
    sK2440: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3369,type,
    sK2441: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3370,type,
    sK2442: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3371,type,
    sK2443: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3372,type,
    sK2444: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3373,type,
    sK2445: option_num > num > num > num ).

thf(func_def_3374,type,
    sK2446: option_num > num > num > num ).

thf(func_def_3375,type,
    sK2447: num > option_num > num ).

thf(func_def_3376,type,
    sK2448: num > num > option_num > num ).

thf(func_def_3377,type,
    sK2449: num > option_num > num ).

thf(func_def_3378,type,
    sK2450: num > num > option_num > num ).

thf(func_def_3379,type,
    sK2451: num > num > option_num > num ).

thf(func_def_3380,type,
    sK2452: num > num > option_num > num ).

thf(func_def_3381,type,
    sK2453: option_num > num > num > num ).

thf(func_def_3382,type,
    sK2454: option_num > num > num > num ).

thf(func_def_3383,type,
    sK2455: option_num > num > num > num ).

thf(func_def_3384,type,
    sK2456: option_num > num > num > num ).

thf(func_def_3385,type,
    sK2457: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3386,type,
    sK2458: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3387,type,
    sK2459: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_3388,type,
    sK2460: ( set_int > $o ) > int ).

thf(func_def_3389,type,
    sK2461: ( set_int > $o ) > set_int ).

thf(func_def_3390,type,
    sK2462: set_complex > set_complex > ( complex > int ) > set_int > set_int > complex ).

thf(func_def_3391,type,
    sK2463: set_int > set_int > ( int > complex ) > set_complex > set_complex > int ).

thf(func_def_3392,type,
    sK2464: set_int > ( complex > real ) > ( int > complex ) > ( int > real ) > int ).

thf(func_def_3393,type,
    sK2465: ( complex > int ) > set_complex > ( int > complex ) > set_complex > complex ).

thf(func_def_3394,type,
    sK2466: ( complex > real ) > set_complex > complex ).

thf(func_def_3395,type,
    sK2467: set_int > ( int > real ) > int ).

thf(func_def_3396,type,
    sK2468: set_int > ( complex > int ) > ( int > complex ) > set_int > int ).

thf(func_def_3397,type,
    sK2469: set_complex > ( complex > real ) > complex ).

thf(func_def_3398,type,
    sK2470: nat > nat ).

thf(func_def_3399,type,
    sK2471: ( nat > real > real ) > nat > real > nat ).

thf(func_def_3400,type,
    sK2472: ( nat > real > real ) > nat > real > real ).

thf(func_def_3401,type,
    sK2473: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_3402,type,
    sK2474: ( real > $o ) > list_real > real ).

thf(func_def_3403,type,
    sK2475: ( complex > $o ) > list_complex > nat ).

thf(func_def_3404,type,
    sK2476: rat > rat ).

thf(func_def_3405,type,
    sK2477: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_3406,type,
    sK2478: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_3407,type,
    sK2479: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_3408,type,
    sK2480: ( nat > int ) > set_nat > ( nat > int ) > nat ).

thf(func_def_3409,type,
    sK2481: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3410,type,
    sK2482: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3411,type,
    sK2483: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3412,type,
    sK2484: ( nat > num ) > nat ).

thf(func_def_3413,type,
    sK2485: nat > vEBT_VEBT > $o ).

thf(func_def_3414,type,
    sK2486: nat > vEBT_VEBT > $o ).

thf(func_def_3415,type,
    sK2487: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3416,type,
    sK2488: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3417,type,
    sK2489: vEBT_VEBT > nat ).

thf(func_def_3418,type,
    sK2490: vEBT_VEBT > nat ).

thf(func_def_3419,type,
    sK2491: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3420,type,
    sK2492: vEBT_VEBT > nat ).

thf(func_def_3421,type,
    sK2493: vEBT_VEBT > nat ).

thf(func_def_3422,type,
    sK2494: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3423,type,
    sK2495: ( nat > int ) > nat ).

thf(func_def_3424,type,
    sK2496: ( nat > real > real ) > real > nat > real > real ).

thf(func_def_3425,type,
    sK2497: ( nat > real > real ) > real > nat > real > nat ).

thf(func_def_3426,type,
    sK2498: ( real > real ) > real > ( nat > real > real ) > nat > real > real ).

thf(func_def_3427,type,
    sK2499: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3428,type,
    sK2500: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3429,type,
    sK2501: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3430,type,
    sK2502: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3431,type,
    sK2503: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3432,type,
    sK2504: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3433,type,
    sK2505: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3434,type,
    sK2506: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3435,type,
    sK2507: vEBT_VEBT > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3436,type,
    sK2508: vEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3437,type,
    sK2509: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3438,type,
    sK2510: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_3439,type,
    sK2511: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_3440,type,
    sK2512: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3441,type,
    sK2513: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3442,type,
    sK2514: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3443,type,
    sK2515: vEBT_VEBT > vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_3444,type,
    sK2516: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3445,type,
    sK2517: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3446,type,
    sK2518: nat > nat ).

thf(func_def_3447,type,
    sK2519: nat > nat ).

thf(func_def_3448,type,
    sK2520: real > real ).

thf(func_def_3449,type,
    sK2521: ( num > rat ) > num ).

thf(func_def_3450,type,
    sK2522: ( num > rat ) > num ).

thf(func_def_3451,type,
    sK2523: ( rat > num ) > rat ).

thf(func_def_3452,type,
    sK2524: ( rat > num ) > rat ).

thf(func_def_3453,type,
    sK2525: ( complex > real ) > set_complex > complex ).

thf(func_def_3454,type,
    sK2526: produc9072475918466114483BT_nat > nat ).

thf(func_def_3455,type,
    sK2527: produc9072475918466114483BT_nat > nat ).

thf(func_def_3456,type,
    sK2528: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3457,type,
    sK2529: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3458,type,
    sK2530: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3459,type,
    sK2531: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_3460,type,
    sK2532: produc9072475918466114483BT_nat > nat ).

thf(func_def_3461,type,
    sK2533: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3462,type,
    sK2534: produc9072475918466114483BT_nat > $o ).

thf(func_def_3463,type,
    sK2535: produc9072475918466114483BT_nat > $o ).

thf(func_def_3464,type,
    sK2536: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3465,type,
    sK2537: produc9072475918466114483BT_nat > nat ).

thf(func_def_3466,type,
    sK2538: produc9072475918466114483BT_nat > nat ).

thf(func_def_3467,type,
    sK2539: produc9072475918466114483BT_nat > nat ).

thf(func_def_3468,type,
    sK2540: produc9072475918466114483BT_nat > nat ).

thf(func_def_3469,type,
    sK2541: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3470,type,
    sK2542: produc9072475918466114483BT_nat > nat ).

thf(func_def_3471,type,
    sK2543: produc9072475918466114483BT_nat > $o ).

thf(func_def_3472,type,
    sK2544: produc9072475918466114483BT_nat > $o ).

thf(func_def_3473,type,
    sK2545: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_3474,type,
    sK2546: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3475,type,
    sK2547: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3476,type,
    sK2548: produc9072475918466114483BT_nat > nat ).

thf(func_def_3477,type,
    sK2549: real > nat ).

thf(func_def_3478,type,
    sK2550: real > nat ).

thf(func_def_3479,type,
    sK2551: ( int > int > $o ) > int ).

thf(func_def_3480,type,
    sK2552: ( complex > num ) > ( set_complex > $o ) > complex ).

thf(func_def_3481,type,
    sK2553: ( complex > num ) > ( set_complex > $o ) > set_complex ).

thf(func_def_3482,type,
    sK2554: set_int > ( int > nat ) > ( int > nat ) > int ).

thf(func_def_3483,type,
    sK2555: list_int > int > int ).

thf(func_def_3484,type,
    sK2556: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_3485,type,
    sK2557: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_3486,type,
    sK2558: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_3487,type,
    sK2559: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_3488,type,
    sK2560: ( nat > real ) > nat ).

thf(func_def_3489,type,
    sK2561: ( nat > real ) > nat ).

thf(func_def_3490,type,
    sK2562: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3491,type,
    sK2563: ( nat > real ) > ( nat > real ) > real ).

thf(func_def_3492,type,
    sK2564: num > num ).

thf(func_def_3493,type,
    sK2565: ( real > nat ) > real ).

thf(func_def_3494,type,
    sK2566: ( real > nat ) > real ).

thf(func_def_3495,type,
    sK2567: set_complex > ( complex > real ) > complex ).

thf(func_def_3496,type,
    sK2568: real > set_complex > real > ( complex > real ) > complex ).

thf(func_def_3497,type,
    sK2569: set_nat > ( nat > rat ) > ( nat > nat ) > set_nat > ( nat > rat ) > nat ).

thf(func_def_3498,type,
    sK2570: ( nat > rat ) > set_nat > nat ).

thf(func_def_3499,type,
    sK2571: ( int > nat ) > set_int > int ).

thf(func_def_3500,type,
    sK2572: ( int > nat ) > set_int > int ).

thf(func_def_3501,type,
    sK2573: num > num ).

thf(func_def_3502,type,
    sK2574: num > num ).

thf(func_def_3503,type,
    sK2575: set_nat > nat > nat ).

thf(func_def_3504,type,
    sK2576: ( list_int > $o ) > list_int ).

thf(func_def_3505,type,
    sK2577: real > nat > real ).

thf(func_def_3506,type,
    sK2578: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3507,type,
    sK2579: list_VEBT_VEBT > nat ).

thf(func_def_3508,type,
    sK2580: vEBT_VEBT > nat ).

thf(func_def_3509,type,
    sK2581: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3510,type,
    sK2582: nat > ( nat > $o ) > nat ).

thf(func_def_3511,type,
    sK2583: nat > ( nat > $o ) > nat ).

thf(func_def_3512,type,
    sK2584: set_complex > ( complex > real ) > complex ).

thf(func_def_3513,type,
    sK2585: vEBT_VEBT > $o ).

thf(func_def_3514,type,
    sK2586: vEBT_VEBT > $o ).

thf(func_def_3515,type,
    sK2587: vEBT_VEBT > nat ).

thf(func_def_3516,type,
    sK2588: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3517,type,
    sK2589: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3518,type,
    sK2590: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3519,type,
    sK2591: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3520,type,
    sK2592: set_nat > nat ).

thf(func_def_3521,type,
    sK2593: num > num ).

thf(func_def_3522,type,
    sK2594: list_int > set_int > int ).

thf(func_def_3523,type,
    sK2595: product_prod_nat_num > num ).

thf(func_def_3524,type,
    sK2596: product_prod_nat_num > nat ).

thf(func_def_3525,type,
    sK2597: ( nat > $o ) > nat ).

thf(func_def_3526,type,
    sK2598: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3527,type,
    sK2599: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3528,type,
    sK2600: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3529,type,
    sK2601: option_num > ( num > num > num ) > option_num > option_num > num ).

thf(func_def_3530,type,
    sK2602: option_num > ( num > num > num ) > option_num > option_num > num ).

thf(func_def_3531,type,
    sK2603: option_num > num ).

thf(func_def_3532,type,
    sK2604: set_complex > ( complex > real ) > complex ).

thf(func_def_3533,type,
    sK2605: set_complex > ( complex > complex ) > set_complex > ( complex > real ) > ( complex > real ) > complex ).

thf(func_def_3534,type,
    sK2606: ( complex > rat ) > set_complex > ( complex > rat ) > complex ).

thf(func_def_3535,type,
    sK2607: produc6271795597528267376eger_o > ( code_integer > $o > set_nat ) > nat > code_integer ).

thf(func_def_3536,type,
    sK2608: produc6271795597528267376eger_o > ( code_integer > $o > set_nat ) > nat > $o ).

thf(func_def_3537,type,
    sK2609: real > ( real > real ) > real > real ).

thf(func_def_3538,type,
    sK2610: set_rat > rat ).

thf(func_def_3539,type,
    sK2611: vEBT_VEBT > $o ).

thf(func_def_3540,type,
    sK2612: vEBT_VEBT > $o ).

thf(func_def_3541,type,
    sK2613: nat > nat ).

thf(func_def_3542,type,
    sK2614: vEBT_VEBT > $o ).

thf(func_def_3543,type,
    sK2615: vEBT_VEBT > $o ).

thf(func_def_3544,type,
    sK2616: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3545,type,
    sK2617: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3546,type,
    sK2618: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3547,type,
    sK2619: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3548,type,
    sK2620: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3549,type,
    sK2621: nat > nat > vEBT_VEBT > nat ).

thf(func_def_3550,type,
    sK2622: nat > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3551,type,
    sK2623: nat > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3552,type,
    sK2624: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3553,type,
    sK2625: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3554,type,
    sK2626: vEBT_VEBT > nat ).

thf(func_def_3555,type,
    sK2627: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3556,type,
    sK2628: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3557,type,
    sK2629: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3558,type,
    sK2630: vEBT_VEBT > nat ).

thf(func_def_3559,type,
    sK2631: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3560,type,
    sK2632: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3561,type,
    sK2633: real > ( real > real ) > real ).

thf(func_def_3562,type,
    sK2634: set_real > ( real > rat ) > real ).

thf(func_def_3563,type,
    sK2635: rat > rat ).

thf(func_def_3564,type,
    sK2636: rat > rat ).

thf(func_def_3565,type,
    sK2637: int > int > int ).

thf(func_def_3566,type,
    sK2638: nat > nat ).

thf(func_def_3567,type,
    sK2639: num > num ).

thf(func_def_3568,type,
    sK2640: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).

thf(func_def_3569,type,
    sK2641: nat > nat > nat ).

thf(func_def_3570,type,
    sK2642: ( product_prod_nat_nat > real ) > ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3571,type,
    sK2643: rat > rat ).

thf(func_def_3572,type,
    sK2644: set_nat > ( nat > int ) > nat ).

thf(func_def_3573,type,
    sK2645: int > int > set_int > int ).

thf(func_def_3574,type,
    sK2646: int > int > set_int > int ).

thf(func_def_3575,type,
    sK2647: int > nat ).

thf(func_def_3576,type,
    sK2648: int > nat ).

thf(func_def_3577,type,
    sK2649: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_3578,type,
    sK2650: ( int > rat ) > set_int > set_complex > ( complex > int ) > ( complex > rat ) > int ).

thf(func_def_3579,type,
    sK2651: set_complex > ( complex > rat ) > complex ).

thf(func_def_3580,type,
    sK2652: option_num > num ).

thf(func_def_3581,type,
    sK2653: ( option_nat > option_num > $o ) > option_nat > option_num > num ).

thf(func_def_3582,type,
    sK2654: ( option_nat > option_num > $o ) > option_nat > option_num > nat ).

thf(func_def_3583,type,
    sK2655: ( num > num ) > num ).

thf(func_def_3584,type,
    sK2656: ( num > num ) > num ).

thf(func_def_3585,type,
    sK2657: int > nat ).

thf(func_def_3586,type,
    sK2658: int > nat ).

thf(func_def_3587,type,
    sK2659: ( nat > real ) > nat ).

thf(func_def_3588,type,
    sK2660: ( nat > real ) > nat ).

thf(func_def_3589,type,
    sK2661: ( rat > int ) > rat ).

thf(func_def_3590,type,
    sK2662: ( rat > int ) > rat ).

thf(func_def_3591,type,
    sK2663: ( real > rat ) > real ).

thf(func_def_3592,type,
    sK2664: ( real > rat ) > real ).

thf(func_def_3593,type,
    sK2665: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3594,type,
    sK2666: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3595,type,
    sK2667: produc9072475918466114483BT_nat > nat ).

thf(func_def_3596,type,
    sK2668: produc9072475918466114483BT_nat > nat ).

thf(func_def_3597,type,
    sK2669: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3598,type,
    sK2670: produc9072475918466114483BT_nat > nat ).

thf(func_def_3599,type,
    sK2671: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3600,type,
    sK2672: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3601,type,
    sK2673: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3602,type,
    sK2674: produc9072475918466114483BT_nat > nat ).

thf(func_def_3603,type,
    sK2675: produc9072475918466114483BT_nat > nat ).

thf(func_def_3604,type,
    sK2676: produc9072475918466114483BT_nat > nat ).

thf(func_def_3605,type,
    sK2677: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3606,type,
    sK2678: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3607,type,
    sK2679: produc9072475918466114483BT_nat > nat ).

thf(func_def_3608,type,
    sK2680: produc9072475918466114483BT_nat > nat ).

thf(func_def_3609,type,
    sK2681: produc9072475918466114483BT_nat > nat ).

thf(func_def_3610,type,
    sK2682: produc9072475918466114483BT_nat > nat ).

thf(func_def_3611,type,
    sK2683: produc9072475918466114483BT_nat > nat ).

thf(func_def_3612,type,
    sK2684: produc9072475918466114483BT_nat > $o ).

thf(func_def_3613,type,
    sK2685: produc9072475918466114483BT_nat > $o ).

thf(func_def_3614,type,
    sK2686: nat > set_nat > nat ).

thf(func_def_3615,type,
    sK2687: ( nat > real ) > nat ).

thf(func_def_3616,type,
    sK2688: ( nat > real ) > nat ).

thf(func_def_3617,type,
    sK2689: set_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3618,type,
    sK2690: ( nat > rat ) > set_nat > nat ).

thf(func_def_3619,type,
    sK2691: ( nat > rat ) > set_nat > set_int > ( int > rat ) > ( nat > int ) > int ).

thf(func_def_3620,type,
    sK2692: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_3621,type,
    sK2693: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_3622,type,
    sK2694: set_real > ( real > nat ) > real ).

thf(func_def_3623,type,
    sK2695: real > nat ).

thf(func_def_3624,type,
    sK2696: ( num > num ) > num ).

thf(func_def_3625,type,
    sK2697: ( num > num ) > num ).

thf(func_def_3626,type,
    sK2698: rat > ( complex > rat ) > rat > set_complex > complex ).

thf(func_def_3627,type,
    sK2699: ( complex > rat ) > set_complex > complex ).

thf(func_def_3628,type,
    sK2700: set_complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_3629,type,
    sK2701: int > set_int > int > int ).

thf(func_def_3630,type,
    sK2702: int > set_int > int > int ).

thf(func_def_3631,type,
    sK2703: set_int > int > ( int > $o ) > int ).

thf(func_def_3632,type,
    sK2704: set_int > int > ( int > $o ) > int ).

thf(func_def_3633,type,
    sK2705: real > ( real > $o ) > real ).

thf(func_def_3634,type,
    sK2706: real > ( real > $o ) > real ).

thf(func_def_3635,type,
    sK2707: ( real > $o ) > real > real ).

thf(func_def_3636,type,
    sK2708: ( real > $o ) > real > real ).

thf(func_def_3637,type,
    sK2709: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3638,type,
    sK2710: nat > list_nat > nat ).

thf(func_def_3639,type,
    sK2711: nat > list_nat > list_nat ).

thf(func_def_3640,type,
    sK2712: set_real > ( real > real ) > real ).

thf(func_def_3641,type,
    sK2713: set_real > real > ( real > real ) > real ).

thf(func_def_3642,type,
    sK2714: set_nat > list_nat ).

thf(func_def_3643,type,
    sK2715: ( nat > $o ) > nat > nat ).

thf(func_def_3644,type,
    sK2716: ( nat > $o ) > nat > nat ).

thf(func_def_3645,type,
    sK2717: set_VEBT_VEBT > ( set_VEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_3646,type,
    sK2718: set_VEBT_VEBT > ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_3647,type,
    sK2719: set_real > ( real > real ) > set_real > real ).

thf(func_def_3648,type,
    sK2720: set_real > set_real > ( real > real ) > real ).

thf(func_def_3649,type,
    sK2721: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_3650,type,
    sK2722: set_set_int > set_int ).

thf(func_def_3651,type,
    sK2723: real > real > rat ).

thf(func_def_3652,type,
    sK2724: ( num > rat ) > num ).

thf(func_def_3653,type,
    sK2725: ( num > rat ) > num ).

thf(func_def_3654,type,
    sK2726: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_3655,type,
    sK2727: rat > rat ).

thf(func_def_3656,type,
    sK2728: set_int > int ).

thf(func_def_3657,type,
    sK2729: int > int ).

thf(func_def_3658,type,
    sK2730: ( vEBT_VEBT > real ) > vEBT_VEBT > set_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3659,type,
    sK2731: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3660,type,
    sK2732: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3661,type,
    sK2733: ( real > rat ) > set_real > real ).

thf(func_def_3662,type,
    sK2734: int > int > int ).

thf(func_def_3663,type,
    sK2735: ( rat > rat ) > rat ).

thf(func_def_3664,type,
    sK2736: ( rat > rat ) > rat ).

thf(func_def_3665,type,
    sK2737: ( nat > nat ) > nat ).

thf(func_def_3666,type,
    sK2738: ( nat > nat ) > nat ).

thf(func_def_3667,type,
    sK2739: vEBT_VEBT > $o ).

thf(func_def_3668,type,
    sK2740: vEBT_VEBT > $o ).

thf(func_def_3669,type,
    sK2741: int > nat ).

thf(func_def_3670,type,
    sK2742: ( int > $o ) > int ).

thf(func_def_3671,type,
    sK2743: ( int > $o ) > set_int > int > int ).

thf(func_def_3672,type,
    sK2744: ( int > $o ) > set_int > int > int ).

thf(func_def_3673,type,
    sK2745: ( int > $o ) > int > int ).

thf(func_def_3674,type,
    sK2746: set_int > ( int > $o ) > int > int ).

thf(func_def_3675,type,
    sK2747: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3676,type,
    sK2748: ( int > $o ) > int > int ).

thf(func_def_3677,type,
    sK2749: ( int > $o ) > int > int ).

thf(func_def_3678,type,
    sK2750: ( int > int > product_prod_int_int ) > product_prod_int_int > ( product_prod_int_int > $o ) > int ).

thf(func_def_3679,type,
    sK2751: ( int > int > product_prod_int_int ) > product_prod_int_int > ( product_prod_int_int > $o ) > int ).

thf(func_def_3680,type,
    sK2752: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_3681,type,
    sK2753: produc5542196010084753463at_nat > option4927543243414619207at_nat ).

thf(func_def_3682,type,
    sK2754: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_3683,type,
    sK2755: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_3684,type,
    sK2756: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_3685,type,
    sK2757: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_3686,type,
    sK2758: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_3687,type,
    sK2759: ( int > rat ) > ( rat > rat > $o ) > ( int > rat ) > set_int > int ).

thf(func_def_3688,type,
    sK2760: ( rat > rat > $o ) > rat ).

thf(func_def_3689,type,
    sK2761: ( rat > rat > $o ) > rat ).

thf(func_def_3690,type,
    sK2762: ( rat > rat > $o ) > rat ).

thf(func_def_3691,type,
    sK2763: ( rat > rat > $o ) > rat ).

thf(func_def_3692,type,
    sK2764: int > ( int > $o ) > nat > int ).

thf(func_def_3693,type,
    sK2765: ( int > complex ) > set_int > ( int > real ) > int ).

thf(func_def_3694,type,
    sK2766: ( nat > rat ) > nat ).

thf(func_def_3695,type,
    sK2767: ( nat > rat ) > nat ).

thf(func_def_3696,type,
    sK2768: rat > rat ).

thf(func_def_3697,type,
    sK2769: real > int ).

thf(func_def_3698,type,
    sK2770: nat > nat > nat > nat ).

thf(func_def_3699,type,
    sK2771: nat > nat > nat > nat ).

thf(func_def_3700,type,
    sK2772: real > ( real > real ) > set_real > real ).

thf(func_def_3701,type,
    sK2773: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3702,type,
    sK2774: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3703,type,
    sK2775: option_nat > nat ).

thf(func_def_3704,type,
    sK2776: int > ( int > real ) > set_int > int ).

thf(func_def_3705,type,
    sK2777: real > real > real ).

thf(func_def_3706,type,
    sK2778: real > real > real ).

thf(func_def_3707,type,
    sK2779: product_prod_num_num > ( num > num > set_nat ) > nat > num ).

thf(func_def_3708,type,
    sK2780: product_prod_num_num > ( num > num > set_nat ) > nat > num ).

thf(func_def_3709,type,
    sK2781: int > int ).

thf(func_def_3710,type,
    sK2782: vEBT_VEBT > $o ).

thf(func_def_3711,type,
    sK2783: vEBT_VEBT > $o ).

thf(func_def_3712,type,
    sK2784: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3713,type,
    sK2785: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3714,type,
    sK2786: nat > vEBT_VEBT > nat ).

thf(func_def_3715,type,
    sK2787: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3716,type,
    sK2788: ( real > rat ) > set_real > real ).

thf(func_def_3717,type,
    sK2789: ( num > nat ) > num ).

thf(func_def_3718,type,
    sK2790: ( num > nat ) > num ).

thf(func_def_3719,type,
    sK2791: rat > rat > rat ).

thf(func_def_3720,type,
    sK2792: nat > ( nat > nat > $o ) > list_nat ).

thf(func_def_3721,type,
    sK2793: nat > ( nat > nat > $o ) > nat ).

thf(func_def_3722,type,
    sK2794: nat > ( nat > nat > $o ) > nat ).

thf(func_def_3723,type,
    sK2795: list_nat > nat > ( nat > nat > $o ) > nat ).

thf(func_def_3724,type,
    sK2796: nat > ( nat > $o ) > nat ).

thf(func_def_3725,type,
    sK2797: ( rat > real ) > rat ).

thf(func_def_3726,type,
    sK2798: ( rat > real ) > rat ).

thf(func_def_3727,type,
    sK2799: ( rat > rat ) > rat ).

thf(func_def_3728,type,
    sK2800: ( rat > rat ) > rat ).

thf(func_def_3729,type,
    sK2801: list_nat > nat > nat ).

thf(func_def_3730,type,
    sK2802: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3731,type,
    sK2803: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3732,type,
    sK2804: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3733,type,
    sK2805: nat > nat ).

thf(func_def_3734,type,
    sK2806: code_integer > code_integer > code_integer ).

thf(func_def_3735,type,
    sK2807: ( set_real > $o ) > real ).

thf(func_def_3736,type,
    sK2808: ( set_real > $o ) > set_real ).

thf(func_def_3737,type,
    sK2809: int > set_int > ( int > nat ) > int ).

thf(func_def_3738,type,
    sK2810: set_int > ( int > nat ) > int ).

thf(func_def_3739,type,
    sK2811: ( nat > real ) > nat ).

thf(func_def_3740,type,
    sK2812: ( nat > real ) > real ).

thf(func_def_3741,type,
    sK2813: ( nat > real ) > nat ).

thf(func_def_3742,type,
    sK2814: real > real ).

thf(func_def_3743,type,
    sK2815: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3744,type,
    sK2816: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3745,type,
    sK2817: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3746,type,
    sK2818: int > set_int > int > int ).

thf(func_def_3747,type,
    sK2819: int > set_int > int > int ).

thf(func_def_3748,type,
    sK2820: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_3749,type,
    sK2821: ( complex > rat ) > set_complex > complex ).

thf(func_def_3750,type,
    sK2822: ( nat > rat ) > ( complex > rat ) > set_complex > set_nat > ( complex > nat ) > nat ).

thf(func_def_3751,type,
    sK2823: ( real > nat ) > set_real > ( real > nat ) > real ).

thf(func_def_3752,type,
    sK2824: ( nat > $o ) > nat > nat > nat ).

thf(func_def_3753,type,
    sK2825: set_int > set_int > int ).

thf(func_def_3754,type,
    sK2826: ( rat > rat ) > rat ).

thf(func_def_3755,type,
    sK2827: ( rat > rat ) > rat ).

thf(func_def_3756,type,
    sK2828: set_nat > nat > nat ).

thf(func_def_3757,type,
    sK2829: real > real > real > real ).

thf(func_def_3758,type,
    sK2830: int > list_int > int ).

thf(func_def_3759,type,
    sK2831: nat > nat > nat ).

thf(func_def_3760,type,
    sK2832: nat > nat > nat ).

thf(func_def_3761,type,
    sK2833: list_o > ( $o > $o ) > $o ).

thf(func_def_3762,type,
    sK2834: ( rat > int ) > rat ).

thf(func_def_3763,type,
    sK2835: ( rat > int ) > rat ).

thf(func_def_3764,type,
    sK2836: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3765,type,
    sK2837: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3766,type,
    sK2838: real > real ).

thf(func_def_3767,type,
    sK2839: ( nat > $o ) > nat > nat ).

thf(func_def_3768,type,
    sK2840: ( nat > $o ) > nat > nat ).

thf(func_def_3769,type,
    sK2841: num > num ).

thf(func_def_3770,type,
    sK2842: real > real > nat ).

thf(func_def_3771,type,
    sK2843: ( rat > num ) > rat ).

thf(func_def_3772,type,
    sK2844: ( rat > num ) > rat ).

thf(func_def_3773,type,
    sK2845: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3774,type,
    sK2846: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3775,type,
    sK2847: set_real > set_real > ( real > rat ) > real ).

thf(func_def_3776,type,
    sK2848: set_int > int ).

thf(func_def_3777,type,
    sK2849: set_real > ( real > rat ) > real ).

thf(func_def_3778,type,
    sK2850: rat > set_real > rat > ( real > rat ) > real ).

thf(func_def_3779,type,
    sK2851: nat > real > real ).

thf(func_def_3780,type,
    sK2852: ( num > int ) > num ).

thf(func_def_3781,type,
    sK2853: ( num > int ) > num ).

thf(func_def_3782,type,
    sK2854: int > int > set_int > int ).

thf(func_def_3783,type,
    sK2855: int > int > set_int > int ).

thf(func_def_3784,type,
    sK2856: ( vEBT_VEBT > rat ) > ( set_VEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_3785,type,
    sK2857: ( vEBT_VEBT > rat ) > ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_3786,type,
    sK2858: ( code_integer > $o ) > code_integer ).

thf(func_def_3787,type,
    sK2859: ( code_integer > $o ) > $o ).

thf(func_def_3788,type,
    sK2860: ( code_integer > $o ) > code_integer ).

thf(func_def_3789,type,
    sK2861: real > ( real > real ) > real ).

thf(func_def_3790,type,
    sK2862: rat > rat > rat ).

thf(func_def_3791,type,
    sK2863: int > int > set_int > int ).

thf(func_def_3792,type,
    sK2864: int > int > set_int > int ).

thf(func_def_3793,type,
    sK2865: ( real > real ) > real > real ).

thf(func_def_3794,type,
    sK2866: real > real ).

thf(func_def_3795,type,
    sK2867: set_real > set_real > ( real > nat ) > real ).

thf(func_def_3796,type,
    sK2868: set_real > set_real > ( real > nat ) > real ).

thf(func_def_3797,type,
    sK2869: ( nat > $o ) > list_nat > nat ).

thf(func_def_3798,type,
    sK2870: ( nat > $o ) > list_nat > nat ).

thf(func_def_3799,type,
    sK2871: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_3800,type,
    sK2872: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3801,type,
    sK2873: set_complex > ( complex > nat ) > ( complex > nat ) > complex ).

thf(func_def_3802,type,
    sK2874: int > int ).

thf(func_def_3803,type,
    sK2875: list_nat > nat > nat ).

thf(func_def_3804,type,
    sK2876: nat > ( nat > int > $o ) > list_int ).

thf(func_def_3805,type,
    sK2877: nat > ( nat > int > $o ) > nat ).

thf(func_def_3806,type,
    sK2878: nat > ( nat > int > $o ) > int ).

thf(func_def_3807,type,
    sK2879: list_int > nat > ( nat > int > $o ) > nat ).

thf(func_def_3808,type,
    sK2880: real > real ).

thf(func_def_3809,type,
    sK2881: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3810,type,
    sK2882: set_real > ( real > complex ) > set_real > real ).

thf(func_def_3811,type,
    sK2883: set_int > ( int > real ) > int ).

thf(func_def_3812,type,
    sK2884: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_3813,type,
    sK2885: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_3814,type,
    sK2886: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_3815,type,
    sK2887: vEBT_VEBT > nat > nat ).

thf(func_def_3816,type,
    sK2888: vEBT_VEBT > nat > nat ).

thf(func_def_3817,type,
    sK2889: vEBT_VEBT > nat > nat ).

thf(func_def_3818,type,
    sK2890: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3819,type,
    sK2891: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3820,type,
    sK2892: vEBT_VEBT > nat > $o ).

thf(func_def_3821,type,
    sK2893: vEBT_VEBT > nat > $o ).

thf(func_def_3822,type,
    sK2894: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3823,type,
    sK2895: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3824,type,
    sK2896: vEBT_VEBT > nat ).

thf(func_def_3825,type,
    sK2897: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3826,type,
    sK2898: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3827,type,
    sK2899: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3828,type,
    sK2900: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3829,type,
    sK2901: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3830,type,
    sK2902: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3831,type,
    sK2903: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3832,type,
    sK2904: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3833,type,
    sK2905: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3834,type,
    sK2906: nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_3835,type,
    sK2907: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3836,type,
    sK2908: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3837,type,
    sK2909: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3838,type,
    sK2910: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3839,type,
    sK2911: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3840,type,
    sK2912: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3841,type,
    sK2913: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3842,type,
    sK2914: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3843,type,
    sK2915: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3844,type,
    sK2916: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3845,type,
    sK2917: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3846,type,
    sK2918: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3847,type,
    sK2919: nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_3848,type,
    sK2920: nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3849,type,
    sK2921: nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3850,type,
    sK2922: nat > nat > nat ).

thf(func_def_3851,type,
    sK2923: ( real > rat ) > set_real > real ).

thf(func_def_3852,type,
    sK2924: nat > nat ).

thf(func_def_3853,type,
    sK2925: option_nat > vEBT_VEBT > $o ).

thf(func_def_3854,type,
    sK2926: option_nat > vEBT_VEBT > $o ).

thf(func_def_3855,type,
    sK2927: vEBT_VEBT > option_nat > nat ).

thf(func_def_3856,type,
    sK2928: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_3857,type,
    sK2929: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_3858,type,
    sK2930: vEBT_VEBT > option_nat > nat ).

thf(func_def_3859,type,
    sK2931: vEBT_VEBT > option_nat > nat ).

thf(func_def_3860,type,
    sK2932: vEBT_VEBT > option_nat > nat ).

thf(func_def_3861,type,
    sK2933: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_3862,type,
    sK2934: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_3863,type,
    sK2935: set_complex > ( complex > rat ) > complex ).

thf(func_def_3864,type,
    sK2936: ( rat > rat > $o ) > rat ).

thf(func_def_3865,type,
    sK2937: ( rat > rat > $o ) > rat ).

thf(func_def_3866,type,
    sK2938: ( rat > rat > $o ) > rat ).

thf(func_def_3867,type,
    sK2939: ( rat > rat > $o ) > rat ).

thf(func_def_3868,type,
    sK2940: int > int ).

thf(func_def_3869,type,
    sK2941: ( nat > rat ) > set_nat > nat ).

thf(func_def_3870,type,
    sK2942: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > product_prod_nat_nat ).

thf(func_def_3871,type,
    sK2943: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > nat ).

thf(func_def_3872,type,
    sK2944: set_real > ( real > rat ) > ( real > rat ) > real ).

thf(func_def_3873,type,
    sK2945: rat > rat ).

thf(func_def_3874,type,
    sK2946: real > list_real > real ).

thf(func_def_3875,type,
    sK2947: ( int > int > $o ) > int > int > int ).

thf(func_def_3876,type,
    sK2948: ( int > int > $o ) > int > int > int ).

thf(func_def_3877,type,
    sK2949: ( real > rat ) > ( set_real > $o ) > set_real ).

thf(func_def_3878,type,
    sK2950: ( real > rat ) > ( set_real > $o ) > real ).

thf(func_def_3879,type,
    sK2951: list_VEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_3880,type,
    sK2952: list_o > ( $o > $o ) > $o ).

thf(func_def_3881,type,
    sK2953: list_o > ( $o > $o ) > nat ).

thf(func_def_3882,type,
    sK2954: num > num ).

thf(func_def_3883,type,
    sK2955: int > int ).

thf(func_def_3884,type,
    sK2956: ( nat > complex ) > set_nat > ( nat > complex ) > nat ).

thf(func_def_3885,type,
    sK2957: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_3886,type,
    sK2958: set_real > set_real > ( real > nat ) > real ).

thf(func_def_3887,type,
    sK2959: set_int > set_int > ( int > complex ) > int ).

thf(func_def_3888,type,
    sK2960: nat > ( nat > $o ) > nat ).

thf(func_def_3889,type,
    sK2961: ( rat > real ) > rat ).

thf(func_def_3890,type,
    sK2962: ( rat > real ) > rat ).

thf(func_def_3891,type,
    sK2963: real > nat > real ).

thf(func_def_3892,type,
    sK2964: ( num > nat ) > num ).

thf(func_def_3893,type,
    sK2965: ( num > nat ) > num ).

thf(func_def_3894,type,
    sK2966: nat > nat > nat ).

thf(func_def_3895,type,
    sK2967: real > nat ).

thf(func_def_3896,type,
    sK2968: ( num > rat ) > num ).

thf(func_def_3897,type,
    sK2969: ( num > rat ) > num ).

thf(func_def_3898,type,
    sK2970: ( int > $o ) > int > int ).

thf(func_def_3899,type,
    sK2971: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3900,type,
    sK2972: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3901,type,
    sK2973: ( nat > nat > $o ) > nat ).

thf(func_def_3902,type,
    sK2974: ( nat > nat > $o ) > nat ).

thf(func_def_3903,type,
    sK2975: ( nat > nat > $o ) > nat ).

thf(func_def_3904,type,
    sK2976: ( nat > nat > $o ) > nat ).

thf(func_def_3905,type,
    sK2977: ( nat > rat ) > nat ).

thf(func_def_3906,type,
    sK2978: ( nat > rat ) > nat ).

thf(func_def_3907,type,
    sK2979: set_complex > ( complex > rat ) > complex ).

thf(func_def_3908,type,
    sK2980: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3909,type,
    sK2981: real > int ).

thf(func_def_3910,type,
    sK2982: ( real > real ) > set_real > real ).

thf(func_def_3911,type,
    sK2983: set_complex > ( complex > real ) > ( complex > real ) > complex ).

thf(func_def_3912,type,
    sK2984: set_complex > ( complex > real ) > set_complex > complex ).

thf(func_def_3913,type,
    sK2985: product_prod_num_num > ( num > num > set_complex ) > complex > num ).

thf(func_def_3914,type,
    sK2986: product_prod_num_num > ( num > num > set_complex ) > complex > num ).

thf(func_def_3915,type,
    sK2987: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3916,type,
    sK2988: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3917,type,
    sK2989: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3918,type,
    sK2990: vEBT_VEBT > nat ).

thf(func_def_3919,type,
    sK2991: vEBT_VEBT > $o ).

thf(func_def_3920,type,
    sK2992: vEBT_VEBT > $o ).

thf(func_def_3921,type,
    sK2993: code_integer > code_integer > code_integer ).

thf(func_def_3922,type,
    sK2994: ( real > real > $o ) > real ).

thf(func_def_3923,type,
    sK2995: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_3924,type,
    sK2996: real > nat ).

thf(func_def_3925,type,
    sK2997: real > nat ).

thf(func_def_3926,type,
    sK2998: rat > rat > rat > rat ).

thf(func_def_3927,type,
    sK2999: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_3928,type,
    sK3000: nat > ( nat > $o ) > nat ).

thf(func_def_3929,type,
    sK3001: nat > ( nat > $o ) > nat ).

thf(func_def_3930,type,
    sK3002: set_int > set_int > ( int > rat ) > int ).

thf(func_def_3931,type,
    sK3003: ( nat > $o ) > list_nat > nat ).

thf(func_def_3932,type,
    sK3004: ( complex > real ) > set_complex > complex ).

thf(func_def_3933,type,
    sK3005: ( complex > real ) > set_complex > complex ).

thf(func_def_3934,type,
    sK3006: rat > nat ).

thf(func_def_3935,type,
    sK3007: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3936,type,
    sK3008: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3937,type,
    sK3009: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3938,type,
    sK3010: nat > vEBT_VEBT > nat > $o ).

thf(func_def_3939,type,
    sK3011: nat > vEBT_VEBT > nat > $o ).

thf(func_def_3940,type,
    sK3012: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3941,type,
    sK3013: vEBT_VEBT > nat > nat > $o ).

thf(func_def_3942,type,
    sK3014: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3943,type,
    sK3015: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3944,type,
    sK3016: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3945,type,
    sK3017: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3946,type,
    sK3018: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3947,type,
    sK3019: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3948,type,
    sK3020: vEBT_VEBT > nat > nat > product_prod_nat_nat ).

thf(func_def_3949,type,
    sK3021: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3950,type,
    sK3022: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3951,type,
    sK3023: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_3952,type,
    sK3024: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_3953,type,
    sK3025: vEBT_VEBT > nat > nat > product_prod_nat_nat ).

thf(func_def_3954,type,
    sK3026: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3955,type,
    sK3027: ( int > $o ) > int ).

thf(func_def_3956,type,
    sK3028: ( int > $o ) > int > int ).

thf(func_def_3957,type,
    sK3029: ( int > $o ) > int > int ).

thf(func_def_3958,type,
    sK3030: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_3959,type,
    sK3031: vEBT_VEBT > nat > $o > nat ).

thf(func_def_3960,type,
    sK3032: vEBT_VEBT > nat > $o > list_VEBT_VEBT ).

thf(func_def_3961,type,
    sK3033: vEBT_VEBT > nat > $o > option4927543243414619207at_nat ).

thf(func_def_3962,type,
    sK3034: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_3963,type,
    sK3035: vEBT_VEBT > $o ).

thf(func_def_3964,type,
    sK3036: vEBT_VEBT > $o ).

thf(func_def_3965,type,
    sK3037: ( nat > int ) > nat ).

thf(func_def_3966,type,
    sK3038: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3967,type,
    sK3039: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3968,type,
    sK3040: vEBT_VEBT > nat > nat ).

thf(func_def_3969,type,
    sK3041: vEBT_VEBT > nat > nat ).

thf(func_def_3970,type,
    sK3042: vEBT_VEBT > nat > nat ).

thf(func_def_3971,type,
    sK3043: vEBT_VEBT > nat > $o ).

thf(func_def_3972,type,
    sK3044: vEBT_VEBT > nat > $o ).

thf(func_def_3973,type,
    sK3045: ( real > real ) > real > real > real ).

thf(func_def_3974,type,
    sK3046: ( nat > real ) > nat > int ).

thf(func_def_3975,type,
    sK3047: ( real > num ) > ( set_real > $o ) > real ).

thf(func_def_3976,type,
    sK3048: ( real > num ) > ( set_real > $o ) > set_real ).

thf(func_def_3977,type,
    sK3049: ( rat > nat ) > rat ).

thf(func_def_3978,type,
    sK3050: ( rat > nat ) > rat ).

thf(func_def_3979,type,
    sK3051: real > nat ).

thf(func_def_3980,type,
    sK3052: nat > set_nat > nat ).

thf(func_def_3981,type,
    sK3053: product_prod_num_num > num ).

thf(func_def_3982,type,
    sK3054: product_prod_num_num > num ).

thf(func_def_3983,type,
    sK3055: ( int > nat ) > set_int > int ).

thf(func_def_3984,type,
    sK3056: ( set_int > $o ) > set_int > set_int ).

thf(func_def_3985,type,
    sK3057: real > nat > real ).

thf(func_def_3986,type,
    sK3058: real > ( code_integer > $o > set_real ) > produc6271795597528267376eger_o > code_integer ).

thf(func_def_3987,type,
    sK3059: real > ( code_integer > $o > set_real ) > produc6271795597528267376eger_o > $o ).

thf(func_def_3988,type,
    sK3060: ( set_real > $o ) > set_real > set_real ).

thf(func_def_3989,type,
    sK3061: ( set_real > $o ) > set_real > real ).

thf(func_def_3990,type,
    sK3062: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_3991,type,
    sK3063: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_3992,type,
    sK3064: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_3993,type,
    sK3065: real > nat > real ).

thf(func_def_3994,type,
    sK3066: rat > rat > rat ).

thf(func_def_3995,type,
    sK3067: ( code_integer > $o > set_int ) > int > produc6271795597528267376eger_o > $o ).

thf(func_def_3996,type,
    sK3068: ( code_integer > $o > set_int ) > int > produc6271795597528267376eger_o > code_integer ).

thf(func_def_3997,type,
    sK3069: ( nat > $o ) > nat ).

thf(func_def_3998,type,
    sK3070: nat > nat ).

thf(func_def_3999,type,
    sK3071: vEBT_VEBT > $o ).

thf(func_def_4000,type,
    sK3072: vEBT_VEBT > $o ).

thf(func_def_4001,type,
    sK3073: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_4002,type,
    sK3074: nat > option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4003,type,
    sK3075: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_4004,type,
    sK3076: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_4005,type,
    sK3077: nat > option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4006,type,
    sK3078: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_4007,type,
    sK3079: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_4008,type,
    sK3080: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4009,type,
    sK3081: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4010,type,
    sK3082: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4011,type,
    sK3083: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4012,type,
    sK3084: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4013,type,
    sK3085: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4014,type,
    sK3086: vEBT_VEBT > nat ).

thf(func_def_4015,type,
    sK3087: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4016,type,
    sK3088: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4017,type,
    sK3089: real > nat > ( nat > real > real ) > ( real > real ) > real ).

thf(func_def_4018,type,
    sK3090: real > nat > ( nat > real > real ) > nat ).

thf(func_def_4019,type,
    sK3091: real > nat > ( nat > real > real ) > real ).

thf(func_def_4020,type,
    sK3092: vEBT_VEBT > nat > $o ).

thf(func_def_4021,type,
    sK3093: vEBT_VEBT > nat > $o ).

thf(func_def_4022,type,
    sK3094: vEBT_VEBT > nat > nat ).

thf(func_def_4023,type,
    sK3095: vEBT_VEBT > nat > nat ).

thf(func_def_4024,type,
    sK3096: vEBT_VEBT > nat > nat ).

thf(func_def_4025,type,
    sK3097: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4026,type,
    sK3098: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4027,type,
    sK3099: vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_4028,type,
    sK3100: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4029,type,
    sK3101: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4030,type,
    sK3102: vEBT_VEBT > nat > nat ).

thf(func_def_4031,type,
    sK3103: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4032,type,
    sK3104: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4033,type,
    sK3105: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4034,type,
    sK3106: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4035,type,
    sK3107: vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_4036,type,
    sK3108: ( list_nat > $o ) > list_nat ).

thf(func_def_4037,type,
    sK3109: option_nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4038,type,
    sK3110: option_nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4039,type,
    sK3111: option_nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_4040,type,
    sK3112: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_4041,type,
    sK3113: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_4042,type,
    sK3114: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_4043,type,
    sK3115: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_4044,type,
    sK3116: vEBT_VEBT > nat > option_nat > list_VEBT_VEBT ).

thf(func_def_4045,type,
    sK3117: vEBT_VEBT > nat > option_nat > vEBT_VEBT ).

thf(func_def_4046,type,
    sK3118: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_4047,type,
    sK3119: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_4048,type,
    sK3120: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_4049,type,
    sK3121: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_4050,type,
    sK3122: nat > option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4051,type,
    sK3123: nat > option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4052,type,
    sK3124: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_4053,type,
    sK3125: nat > option_nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4054,type,
    sK3126: nat > option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4055,type,
    sK3127: nat > option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4056,type,
    sK3128: rat > set_rat > rat ).

thf(func_def_4057,type,
    sK3129: nat > list_VEBT_VEBT ).

thf(func_def_4058,type,
    sK3130: ( real > $o ) > list_real > nat ).

thf(func_def_4059,type,
    sK3131: set_complex > ( complex > nat ) > ( nat > nat > $o ) > ( complex > nat ) > complex ).

thf(func_def_4060,type,
    sK3132: ( nat > nat > $o ) > nat ).

thf(func_def_4061,type,
    sK3133: ( nat > nat > $o ) > nat ).

thf(func_def_4062,type,
    sK3134: ( nat > nat > $o ) > nat ).

thf(func_def_4063,type,
    sK3135: ( nat > nat > $o ) > nat ).

thf(func_def_4064,type,
    sK3136: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > nat ).

thf(func_def_4065,type,
    sK3137: set_num > num > num ).

thf(func_def_4066,type,
    sK3138: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_4067,type,
    sK3139: ( nat > real ) > real > nat ).

thf(func_def_4068,type,
    sK3140: ( nat > real ) > real ).

thf(func_def_4069,type,
    sK3141: real > real ).

thf(func_def_4070,type,
    sK3142: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_4071,type,
    sK3143: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_4072,type,
    sK3144: ( set_rat > $o ) > set_rat ).

thf(func_def_4073,type,
    sK3145: ( set_rat > $o ) > rat ).

thf(func_def_4074,type,
    sK3146: set_real > ( real > nat ) > real ).

thf(func_def_4075,type,
    sK3147: real > real ).

thf(func_def_4076,type,
    sK3148: int > int ).

thf(func_def_4077,type,
    sK3149: ( int > $o ) > int > int ).

thf(func_def_4078,type,
    sK3150: ( int > $o ) > int > int ).

thf(func_def_4079,type,
    sK3151: ( int > $o ) > int > int ).

thf(func_def_4080,type,
    sK3152: ( int > $o ) > int > int ).

thf(func_def_4081,type,
    sK3153: rat > ( rat > $o ) > rat ).

thf(func_def_4082,type,
    sK3154: rat > ( rat > $o ) > rat ).

thf(func_def_4083,type,
    sK3155: ( nat > nat ) > nat ).

thf(func_def_4084,type,
    sK3156: nat > vEBT_VEBT > $o ).

thf(func_def_4085,type,
    sK3157: nat > vEBT_VEBT > $o ).

thf(func_def_4086,type,
    sK3158: vEBT_VEBT > nat ).

thf(func_def_4087,type,
    sK3159: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4088,type,
    sK3160: vEBT_VEBT > nat ).

thf(func_def_4089,type,
    sK3161: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4090,type,
    sK3162: vEBT_VEBT > nat ).

thf(func_def_4091,type,
    sK3163: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4092,type,
    sK3164: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4093,type,
    sK3165: vEBT_VEBT > nat ).

thf(func_def_4094,type,
    sK3166: int > int ).

thf(func_def_4095,type,
    sK3167: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_4096,type,
    sK3168: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4097,type,
    sK3169: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_4098,type,
    sK3170: list_VEBT_VEBT > nat ).

thf(func_def_4099,type,
    sK3171: vEBT_VEBT > nat ).

thf(func_def_4100,type,
    sK3172: nat > real > real ).

thf(func_def_4101,type,
    sK3173: set_int > int ).

thf(func_def_4102,type,
    sK3174: ( num > real ) > num ).

thf(func_def_4103,type,
    sK3175: ( num > real ) > num ).

thf(func_def_4104,type,
    sK3176: ( rat > nat ) > rat ).

thf(func_def_4105,type,
    sK3177: ( rat > nat ) > rat ).

thf(func_def_4106,type,
    sK3178: produc1193250871479095198on_num > num > num > num ).

thf(func_def_4107,type,
    sK3179: produc1193250871479095198on_num > num ).

thf(func_def_4108,type,
    sK3180: produc1193250871479095198on_num > num ).

thf(func_def_4109,type,
    sK3181: produc1193250871479095198on_num > num > num > num ).

thf(func_def_4110,type,
    sK3182: produc1193250871479095198on_num > option_num ).

thf(func_def_4111,type,
    sK3183: produc1193250871479095198on_num > num > num > num ).

thf(func_def_4112,type,
    sK3184: produc1193250871479095198on_num > num ).

thf(func_def_4113,type,
    sK3185: ( nat > $o ) > nat ).

thf(func_def_4114,type,
    sK3186: rat > rat > rat ).

thf(func_def_4115,type,
    sK3187: nat > nat > nat > nat ).

thf(func_def_4116,type,
    sK3188: nat > nat ).

thf(func_def_4117,type,
    sK3189: ( nat > $o ) > nat > nat ).

thf(func_def_4118,type,
    sK3190: set_num > num ).

thf(func_def_4119,type,
    sK3191: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4120,type,
    sK3192: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4121,type,
    sK3193: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4122,type,
    sK3194: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_4123,type,
    sK3195: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_4124,type,
    sK3196: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_4125,type,
    sK3197: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_4126,type,
    sK3198: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_4127,type,
    sK3199: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_4128,type,
    sK3200: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_4129,type,
    sK3201: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4130,type,
    sK3202: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_4131,type,
    sK3203: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_4132,type,
    sK3204: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4133,type,
    sK3205: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_4134,type,
    sK3206: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4135,type,
    sK3207: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4136,type,
    sK3208: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4137,type,
    sK3209: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4138,type,
    sK3210: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4139,type,
    sK3211: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4140,type,
    sK3212: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4141,type,
    sK3213: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4142,type,
    sK3214: int > int ).

thf(func_def_4143,type,
    sK3215: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_4144,type,
    sK3216: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_4145,type,
    sK3217: int > int ).

thf(func_def_4146,type,
    sK3218: int > set_int > int > int ).

thf(func_def_4147,type,
    sK3219: int > set_int > int > int ).

thf(func_def_4148,type,
    sK3220: set_VEBT_VEBT > ( set_VEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_4149,type,
    sK3221: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4150,type,
    sK3222: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4151,type,
    sK3223: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4152,type,
    sK3224: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > product_prod_nat_nat > nat ).

thf(func_def_4153,type,
    sK3225: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > product_prod_nat_nat > nat ).

thf(func_def_4154,type,
    sK3226: ( int > $o ) > int > int ).

thf(func_def_4155,type,
    sK3227: nat > nat ).

thf(func_def_4156,type,
    sK3228: set_nat > nat > nat ).

thf(func_def_4157,type,
    sK3229: set_complex > ( complex > real ) > complex ).

thf(func_def_4158,type,
    sK3230: nat > list_int ).

thf(func_def_4159,type,
    sK3231: set_real > ( real > real ) > set_real > real ).

thf(func_def_4160,type,
    sK3232: set_real > ( real > real ) > set_real > real ).

thf(func_def_4161,type,
    sK3233: rat > rat > rat ).

thf(func_def_4162,type,
    sK3234: int > int > int ).

thf(func_def_4163,type,
    sK3235: set_complex > ( complex > real ) > complex ).

thf(func_def_4164,type,
    sK3236: ( set_nat > $o ) > nat ).

thf(func_def_4165,type,
    sK3237: ( set_nat > $o ) > set_nat ).

thf(func_def_4166,type,
    sK3238: ( int > real ) > int ).

thf(func_def_4167,type,
    sK3239: ( int > real ) > int ).

thf(func_def_4168,type,
    sK3240: code_integer > code_integer ).

thf(func_def_4169,type,
    sK3241: num > num ).

thf(func_def_4170,type,
    sK3242: ( real > nat ) > set_real > set_real > real ).

thf(func_def_4171,type,
    sK3243: ( real > nat ) > set_real > set_real > real ).

thf(func_def_4172,type,
    sK3244: ( int > $o ) > int > int ).

thf(func_def_4173,type,
    sK3245: ( int > int > int ) > ( product_prod_int_int > int ) > int ).

thf(func_def_4174,type,
    sK3246: ( int > int > int ) > ( product_prod_int_int > int ) > int ).

thf(func_def_4175,type,
    sK3247: ( rat > real ) > rat ).

thf(func_def_4176,type,
    sK3248: ( rat > real ) > rat ).

thf(func_def_4177,type,
    sK3249: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_4178,type,
    sK3250: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4179,type,
    sK3251: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4180,type,
    sK3252: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_4181,type,
    sK3253: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4182,type,
    sK3254: nat > nat ).

thf(func_def_4183,type,
    sK3255: vEBT_VEBT > $o ).

thf(func_def_4184,type,
    sK3256: vEBT_VEBT > $o ).

thf(func_def_4185,type,
    sK3257: vEBT_VEBT > $o ).

thf(func_def_4186,type,
    sK3258: vEBT_VEBT > $o ).

thf(func_def_4187,type,
    sK3259: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4188,type,
    sK3260: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4189,type,
    sK3261: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4190,type,
    sK3262: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4191,type,
    sK3263: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4192,type,
    sK3264: vEBT_VEBT > nat ).

thf(func_def_4193,type,
    sK3265: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4194,type,
    sK3266: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4195,type,
    sK3267: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4196,type,
    sK3268: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_4197,type,
    sK3269: ( num > nat ) > num ).

thf(func_def_4198,type,
    sK3270: ( num > nat ) > num ).

thf(func_def_4199,type,
    sK3271: ( set_complex > $o ) > set_complex > complex ).

thf(func_def_4200,type,
    sK3272: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_4201,type,
    sK3273: vEBT_VEBT > $o ).

thf(func_def_4202,type,
    sK3274: vEBT_VEBT > $o ).

thf(func_def_4203,type,
    sK3275: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4204,type,
    sK3276: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4205,type,
    sK3277: nat > vEBT_VEBT > nat ).

thf(func_def_4206,type,
    sK3278: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_4207,type,
    sK3279: real > ( nat > real ) > nat ).

thf(func_def_4208,type,
    sK3280: ( nat > real ) > real ).

thf(func_def_4209,type,
    sK3281: ( nat > set_int ) > nat ).

thf(func_def_4210,type,
    sK3282: set_real > ( real > real ) > set_real > real ).

thf(func_def_4211,type,
    sK3283: ( real > real ) > set_real > ( real > real ) > real ).

thf(func_def_4212,type,
    sK3284: ( real > rat ) > real ).

thf(func_def_4213,type,
    sK3285: ( real > rat ) > real ).

thf(func_def_4214,type,
    sK3286: ( int > rat ) > int ).

thf(func_def_4215,type,
    sK3287: ( int > rat ) > int ).

thf(func_def_4216,type,
    sK3288: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_4217,type,
    sK3289: nat > nat ).

thf(func_def_4218,type,
    sK3290: real > ( int > real ) > real > set_int > int ).

thf(func_def_4219,type,
    sK3291: ( int > real ) > set_int > int ).

thf(func_def_4220,type,
    sK3292: ( set_complex > $o ) > ( complex > rat ) > set_complex ).

thf(func_def_4221,type,
    sK3293: ( set_complex > $o ) > ( complex > rat ) > complex ).

thf(func_def_4222,type,
    sK3294: list_int > list_int > nat ).

thf(func_def_4223,type,
    sK3295: set_complex > set_complex > complex ).

thf(func_def_4224,type,
    sK3296: ( rat > nat ) > rat ).

thf(func_def_4225,type,
    sK3297: ( rat > nat ) > rat ).

thf(func_def_4226,type,
    sK3298: real > nat ).

thf(func_def_4227,type,
    sK3299: real > nat ).

thf(func_def_4228,type,
    sK3300: int > int > int ).

thf(func_def_4229,type,
    sK3301: ( rat > rat ) > rat ).

thf(func_def_4230,type,
    sK3302: ( rat > rat ) > rat ).

thf(func_def_4231,type,
    sK3303: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_4232,type,
    sK3304: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_4233,type,
    sK3305: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_4234,type,
    sK3306: nat > nat > nat ).

thf(func_def_4235,type,
    sK3307: ( int > rat ) > set_int > set_int > int ).

thf(func_def_4236,type,
    sK3308: option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_4237,type,
    sK3309: option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_4238,type,
    sK3310: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_4239,type,
    sK3311: nat > nat ).

thf(func_def_4240,type,
    sK3312: real > real > nat ).

thf(func_def_4241,type,
    sK3313: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_4242,type,
    sK3314: ( real > real ) > set_real > real ).

thf(func_def_4243,type,
    sK3315: ( real > real ) > ( real > real ) > set_real > set_real > real ).

thf(func_def_4244,type,
    sK3316: set_real > ( real > real ) > ( real > real ) > ( real > real ) > real ).

thf(func_def_4245,type,
    sK3317: ( real > real ) > set_real > real ).

thf(func_def_4246,type,
    sK3318: set_real > ( real > real ) > set_real > ( real > real ) > real ).

thf(func_def_4247,type,
    sK3319: set_real > set_real > set_real > ( real > real ) > set_real > real ).

thf(func_def_4248,type,
    sK3320: ( nat > complex ) > set_nat > ( nat > complex ) > nat ).

thf(func_def_4249,type,
    sK3321: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_4250,type,
    sK3322: ( real > rat ) > real ).

thf(func_def_4251,type,
    sK3323: ( real > rat ) > real ).

thf(func_def_4252,type,
    sK3324: product_prod_int_int > int ).

thf(func_def_4253,type,
    sK3325: product_prod_int_int > int ).

thf(func_def_4254,type,
    sK3326: nat > real > ( nat > real > real ) > nat ).

thf(func_def_4255,type,
    sK3327: nat > real > ( nat > real > real ) > real ).

thf(func_def_4256,type,
    sK3328: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_4257,type,
    sK3329: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_4258,type,
    sK3330: set_real > real ).

thf(func_def_4259,type,
    sK3331: real > set_real > real ).

thf(func_def_4260,type,
    sK3332: set_real > real ).

thf(func_def_4261,type,
    sK3333: real > set_real > real ).

thf(func_def_4262,type,
    sK3334: ( nat > real ) > nat ).

thf(func_def_4263,type,
    sK3335: ( nat > real ) > nat ).

thf(func_def_4264,type,
    sK3336: ( num > rat ) > num ).

thf(func_def_4265,type,
    sK3337: ( num > rat ) > num ).

thf(func_def_4266,type,
    sK3338: nat > vEBT_VEBT > nat ).

thf(func_def_4267,type,
    sK3339: set_real > ( real > nat ) > ( real > nat ) > real ).

thf(func_def_4268,type,
    sK3340: ( nat > $o ) > nat > nat ).

thf(func_def_4269,type,
    sK3341: vEBT_VEBT > $o ).

thf(func_def_4270,type,
    sK3342: vEBT_VEBT > $o ).

thf(func_def_4271,type,
    sK3343: vEBT_VEBT > nat > nat > $o ).

thf(func_def_4272,type,
    sK3344: vEBT_VEBT > nat > nat > $o ).

thf(func_def_4273,type,
    sK3345: nat > nat ).

thf(func_def_4274,type,
    sK3346: vEBT_VEBT > $o ).

thf(func_def_4275,type,
    sK3347: vEBT_VEBT > $o ).

thf(func_def_4276,type,
    sK3348: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4277,type,
    sK3349: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4278,type,
    sK3350: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4279,type,
    sK3351: vEBT_VEBT > nat ).

thf(func_def_4280,type,
    sK3352: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4281,type,
    sK3353: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4282,type,
    sK3354: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4283,type,
    sK3355: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4284,type,
    sK3356: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_4285,type,
    sK3357: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4286,type,
    sK3358: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4287,type,
    sK3359: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_4288,type,
    sK3360: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4289,type,
    sK3361: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_4290,type,
    sK3362: real > ( real > real ) > ( real > real ) > real > real ).

thf(func_def_4291,type,
    sK3363: real > ( real > real ) > real > real ).

thf(func_def_4292,type,
    sK3364: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_4293,type,
    sK3365: rat > rat > rat ).

thf(func_def_4294,type,
    sK3366: set_rat > rat ).

thf(func_def_4295,type,
    sK3367: int > int > int ).

thf(func_def_4296,type,
    sK3368: set_nat > ( nat > rat ) > set_nat > nat ).

thf(func_def_4297,type,
    sK3369: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_4298,type,
    sK3370: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_4299,type,
    sK3371: nat > nat > nat ).

thf(func_def_4300,type,
    sK3372: real > ( real > real ) > real > real ).

thf(func_def_4301,type,
    sK3373: ( real > real ) > real > real > real ).

thf(func_def_4302,type,
    sK3374: real > ( real > real ) > real > ( real > real ) > real ).

thf(func_def_4303,type,
    sK3375: real > ( real > real ) > real > ( real > real ) > real ).

thf(func_def_4304,type,
    sK3376: real > ( real > real ) > real > ( real > real ) > real ).

thf(func_def_4305,type,
    sK3377: ( real > real ) > real > real > real ).

thf(func_def_4306,type,
    sK3378: real > real > ( real > real ) > real ).

thf(func_def_4307,type,
    sK3379: ( nat > real > real ) > ( real > real ) > real > nat > real ).

thf(func_def_4308,type,
    sK3380: ( nat > real > real ) > real ).

thf(func_def_4309,type,
    sK3381: ( nat > real > real ) > nat ).

thf(func_def_4310,type,
    sK3382: set_int > set_nat > ( int > nat ) > ( nat > rat ) > ( int > rat ) > nat ).

thf(func_def_4311,type,
    sK3383: set_int > ( int > rat ) > int ).

thf(func_def_4312,type,
    sK3384: ( num > num ) > num ).

thf(func_def_4313,type,
    sK3385: ( num > num ) > num ).

thf(func_def_4314,type,
    sK3386: ( nat > num ) > nat ).

thf(func_def_4315,type,
    sK3387: ( int > rat ) > int ).

thf(func_def_4316,type,
    sK3388: ( int > rat ) > int ).

thf(func_def_4317,type,
    sK3389: set_complex > ( complex > rat ) > ( complex > rat ) > complex ).

thf(func_def_4318,type,
    sK3390: set_complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_4319,type,
    sK3391: set_real > ( real > int ) > set_real > real ).

thf(func_def_4320,type,
    sK3392: ( real > int ) > set_real > set_real > real ).

thf(func_def_4321,type,
    sK3393: ( real > real ) > real ).

thf(func_def_4322,type,
    sK3394: ( real > real ) > real ).

thf(func_def_4323,type,
    sK3395: int > nat ).

thf(func_def_4324,type,
    sK3396: ( real > real ) > real > real > ( real > real ) > real ).

thf(func_def_4325,type,
    sK3397: ( real > real ) > real > real > real ).

thf(func_def_4326,type,
    sK3398: ( int > int > $o ) > int ).

thf(func_def_4327,type,
    sK3399: ( int > int > $o ) > int ).

thf(func_def_4328,type,
    sK3400: ( int > int > $o ) > int ).

thf(func_def_4329,type,
    sK3401: ( int > int > $o ) > int ).

thf(func_def_4330,type,
    sK3402: ( int > int > $o ) > int ).

thf(func_def_4331,type,
    sK3403: real > real ).

thf(func_def_4332,type,
    sK3404: ( real > rat ) > set_real > real ).

thf(func_def_4333,type,
    sK3405: int > ( int > $o ) > nat > int ).

thf(func_def_4334,type,
    sK3406: nat > nat ).

thf(func_def_4335,type,
    sK3407: nat > nat > nat ).

thf(func_def_4336,type,
    sK3408: real > nat > real ).

thf(func_def_4337,type,
    sK3409: ( set_real > $o ) > real ).

thf(func_def_4338,type,
    sK3410: ( set_real > $o ) > set_real ).

thf(func_def_4339,type,
    sK3411: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_4340,type,
    sK3412: real > int ).

thf(func_def_4341,type,
    sK3413: real > real ).

thf(func_def_4342,type,
    sK3414: product_prod_num_num > ( num > num > set_int ) > int > num ).

thf(func_def_4343,type,
    sK3415: product_prod_num_num > ( num > num > set_int ) > int > num ).

thf(func_def_4344,type,
    sK3416: filter_nat > nat ).

thf(func_def_4345,type,
    sK3417: real > real > ( real > real ) > real ).

thf(func_def_4346,type,
    sK3418: ( nat > rat ) > nat ).

thf(func_def_4347,type,
    sK3419: ( nat > rat ) > nat ).

thf(func_def_4348,type,
    sK3420: nat > nat > nat ).

thf(func_def_4349,type,
    sK3421: vEBT_VEBT > $o ).

thf(func_def_4350,type,
    sK3422: vEBT_VEBT > $o ).

thf(func_def_4351,type,
    sK3423: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_4352,type,
    sK3424: nat > vEBT_VEBT > nat ).

thf(func_def_4353,type,
    sK3425: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4354,type,
    sK3426: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4355,type,
    sK3427: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4356,type,
    sK3428: ( num > real ) > num ).

thf(func_def_4357,type,
    sK3429: ( num > real ) > num ).

thf(func_def_4358,type,
    sK3430: list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4359,type,
    sK3431: real > real ).

thf(func_def_4360,type,
    sK3432: rat > rat > rat ).

thf(func_def_4361,type,
    sK3433: nat > vEBT_VEBT > nat ).

thf(func_def_4362,type,
    sK3434: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4363,type,
    sK3435: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4364,type,
    sK3436: vEBT_VEBT > nat > nat ).

thf(func_def_4365,type,
    sK3437: vEBT_VEBT > nat > nat ).

thf(func_def_4366,type,
    sK3438: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4367,type,
    sK3439: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4368,type,
    sK3440: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_4369,type,
    sK3441: vEBT_VEBT > nat > nat ).

thf(func_def_4370,type,
    sK3442: vEBT_VEBT > nat > nat ).

thf(func_def_4371,type,
    sK3443: vEBT_VEBT > nat > nat ).

thf(func_def_4372,type,
    sK3444: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4373,type,
    sK3445: set_real > set_real > real ).

thf(func_def_4374,type,
    sK3446: int > ( code_integer > $o > set_int ) > produc6271795597528267376eger_o > code_integer ).

thf(func_def_4375,type,
    sK3447: int > ( code_integer > $o > set_int ) > produc6271795597528267376eger_o > $o ).

thf(func_def_4376,type,
    sK3448: ( nat > real ) > real ).

thf(func_def_4377,type,
    sK3449: ( nat > real ) > real > nat ).

thf(func_def_4378,type,
    sK3450: ( num > int ) > num ).

thf(func_def_4379,type,
    sK3451: ( num > int ) > num ).

thf(func_def_4380,type,
    sK3452: ( rat > nat ) > rat ).

thf(func_def_4381,type,
    sK3453: ( rat > nat ) > rat ).

thf(func_def_4382,type,
    sK3454: set_int > ( set_int > $o ) > set_int ).

thf(func_def_4383,type,
    sK3455: real > real > real > real ).

thf(func_def_4384,type,
    sK3456: set_int > list_int ).

thf(func_def_4385,type,
    sK3457: ( nat > real ) > nat ).

thf(func_def_4386,type,
    sK3458: ( nat > real ) > nat ).

thf(func_def_4387,type,
    sK3459: product_prod_nat_nat > nat ).

thf(func_def_4388,type,
    sK3460: product_prod_nat_nat > nat ).

thf(func_def_4389,type,
    sK3461: ( int > $o ) > int > int ).

thf(func_def_4390,type,
    sK3462: ( int > $o ) > int > int ).

thf(func_def_4391,type,
    sK3463: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_4392,type,
    sK3464: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_4393,type,
    sK3465: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_4394,type,
    sK3466: ( nat > rat ) > set_nat > nat ).

thf(func_def_4395,type,
    sK3467: ( nat > num > $o ) > product_prod_nat_num > num ).

thf(func_def_4396,type,
    sK3468: ( nat > num > $o ) > product_prod_nat_num > nat ).

thf(func_def_4397,type,
    sK3469: ( set_int > $o ) > set_int > set_int ).

thf(func_def_4398,type,
    sK3470: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_4399,type,
    sK3471: vEBT_VEBT > $o > nat > nat ).

thf(func_def_4400,type,
    sK3472: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_4401,type,
    sK3473: $o > nat > vEBT_VEBT > nat ).

thf(func_def_4402,type,
    sK3474: $o > nat > vEBT_VEBT > nat ).

thf(func_def_4403,type,
    sK3475: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4404,type,
    sK3476: $o > nat > vEBT_VEBT > nat ).

thf(func_def_4405,type,
    sK3477: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4406,type,
    sK3478: vEBT_VEBT > nat > $o > nat ).

thf(func_def_4407,type,
    sK3479: vEBT_VEBT > nat > $o > nat ).

thf(func_def_4408,type,
    sK3480: vEBT_VEBT > nat > $o > list_VEBT_VEBT ).

thf(func_def_4409,type,
    sK3481: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_4410,type,
    sK3482: vEBT_VEBT > $o ).

thf(func_def_4411,type,
    sK3483: vEBT_VEBT > $o ).

thf(func_def_4412,type,
    sK3484: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4413,type,
    sK3485: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4414,type,
    sK3486: real > real > ( real > real ) > real ).

thf(func_def_4415,type,
    sK3487: ( nat > nat ) > nat > nat ).

thf(func_def_4416,type,
    sK3488: ( nat > nat ) > nat > nat ).

thf(func_def_4417,type,
    sK3489: nat > ( nat > nat ) > nat ).

thf(func_def_4418,type,
    sK3490: nat > ( nat > nat ) > nat ).

thf(func_def_4419,type,
    sK3491: list_VEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_4420,type,
    sK3492: list_VEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_4421,type,
    sK3493: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_4422,type,
    sK3494: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_4423,type,
    sK3495: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_4424,type,
    sK3496: list_VEBT_VEBT > nat ).

thf(func_def_4425,type,
    sK3497: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_4426,type,
    sK3498: ( real > rat ) > set_real > set_real > real ).

thf(func_def_4427,type,
    sK3499: ( real > rat ) > set_real > ( real > rat ) > real ).

thf(func_def_4428,type,
    sK3500: nat > ( nat > int ) > nat > nat ).

thf(func_def_4429,type,
    sK3501: int > nat > ( nat > int ) > nat > nat ).

thf(func_def_4430,type,
    sK3502: ( int > $o ) > int > int > int ).

thf(func_def_4431,type,
    sK3503: ( int > $o ) > int > int > int ).

thf(func_def_4432,type,
    sK3504: ( int > $o ) > int > int > int ).

thf(func_def_4433,type,
    sK3505: ( int > $o ) > int > int > int ).

thf(func_def_4434,type,
    sK3506: nat > nat > nat > nat ).

thf(func_def_4435,type,
    sK3507: nat > nat > nat > nat ).

thf(func_def_4436,type,
    sK3508: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4437,type,
    sK3509: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_4438,type,
    sK3510: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4439,type,
    sK3511: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4440,type,
    sK3512: vEBT_VEBT > nat > nat > list_VEBT_VEBT ).

thf(func_def_4441,type,
    sK3513: vEBT_VEBT > nat > nat > vEBT_VEBT ).

thf(func_def_4442,type,
    sK3514: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4443,type,
    sK3515: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4444,type,
    sK3516: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4445,type,
    sK3517: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4446,type,
    sK3518: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_4447,type,
    sK3519: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_4448,type,
    sK3520: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_4449,type,
    sK3521: vEBT_VEBT > nat ).

thf(func_def_4450,type,
    sK3522: vEBT_VEBT > $o ).

thf(func_def_4451,type,
    sK3523: vEBT_VEBT > $o ).

thf(func_def_4452,type,
    sK3524: int > nat ).

thf(func_def_4453,type,
    sK3525: int > nat ).

thf(func_def_4454,type,
    sK3526: set_real > ( real > real ) > real ).

thf(func_def_4456,type,
    inv_numeral_numeral_nat_3528: nat > num ).

thf(func_def_4457,type,
    inv_bit0_3529: num > num ).

thf(func_def_4458,type,
    inv_plus_plus_nat_3530: nat > nat > nat ).

thf(func_def_4459,type,
    inv_plus_plus_nat_3531: nat > nat > nat ).

thf(f1,axiom,
    ! [X1: nat,X2: nat,X0: vEBT_VEBT] :
      ( ( vEBT_invar_vebt @ X0 @ X1 )
     => ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_delete__pres__valid) ).

thf(f7,axiom,
    vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_A_Ithe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_J_A_Ideg_Adiv_A2_J_J_An_092_060close_062) ).

thf(f10250,conjecture,
    vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f10251,negated_conjecture,
    ~ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ),
    inference(negated_conjecture,[status(cth)],[f10250]) ).

thf(f11972,plain,
    vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na,
    inference(rectify,[],[f7]) ).

thf(f11973,plain,
    ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
    = $true ),
    inference(fool_elimination,[],[f11972]) ).

thf(f16732,plain,
    ! [X0: nat,X1: nat,X2: vEBT_VEBT] :
      ( ( vEBT_invar_vebt @ X2 @ X0 )
     => ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X2 @ X1 ) @ X0 ) ),
    inference(rectify,[],[f1]) ).

thf(f16733,plain,
    ! [X0: nat,X1: nat,X2: vEBT_VEBT] :
      ( ( ( vEBT_invar_vebt @ X2 @ X0 )
        = $true )
     => ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X2 @ X1 ) @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f16732]) ).

thf(f18671,plain,
    ~ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ),
    inference(rectify,[],[f10251]) ).

thf(f18672,plain,
    ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
   != $true ),
    inference(fool_elimination,[],[f18671]) ).

thf(f24533,plain,
    ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
   != $true ),
    inference(flattening,[],[f18672]) ).

thf(f31456,plain,
    ! [X0: nat,X1: nat,X2: vEBT_VEBT] :
      ( ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X2 @ X1 ) @ X0 )
        = $true )
      | ( ( vEBT_invar_vebt @ X2 @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f16733]) ).

thf(f46609,plain,
    ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
   != $true ),
    inference(cnf_transformation,[],[f24533]) ).

thf(f49074,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: nat] :
      ( ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X2 @ X1 ) @ X0 )
        = $true )
      | ( ( vEBT_invar_vebt @ X2 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f31456]) ).

thf(f49614,plain,
    ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
    = $true ),
    inference(cnf_transformation,[],[f11973]) ).

thf(f66518,definition,
    ( spl3527_137
  <=> ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl3527_137])],[avatar_definition]) ).

thf(f66520,plain,
    ( ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
     != $true )
    | spl3527_137 ),
    inference(avatar_component_clause,[],[f66518]) ).

thf(f66521,plain,
    ~ spl3527_137,
    inference(avatar_split_clause,[],[f46609,f66518]) ).

thf(f67434,definition,
    ( spl3527_322
  <=> ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl3527_322])],[avatar_definition]) ).

thf(f67437,plain,
    spl3527_322,
    inference(avatar_split_clause,[],[f49614,f67434]) ).

thf(f72772,plain,
    ( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
     != $true )
    | ( $true != $true )
    | spl3527_137 ),
    inference(superposition,[],[f66520,f49074]) ).

thf(f72775,plain,
    ( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na )
     != $true )
    | spl3527_137 ),
    inference(trivial_inequality_removal,[],[f72772]) ).

thf(f72778,plain,
    ( ~ spl3527_322
    | spl3527_137 ),
    inference(avatar_split_clause,[],[f72775,f66518,f67434]) ).

cnf(s134,plain,
    ~ spl3527_137,
    inference(sat_conversion,[],[f66521]) ).

cnf(s336,plain,
    spl3527_322,
    inference(sat_conversion,[],[f67437]) ).

cnf(s1548,plain,
    ( spl3527_137
    | ~ spl3527_322 ),
    inference(sat_conversion,[],[f72778]) ).

cnf(s1596,plain,
    spl3527_137,
    inference(rat,[],[s1548,s336]) ).

cnf(s1609,plain,
    $false,
    inference(rat,[],[s134,s1596]) ).

thf(f72784,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1609]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP272^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n018.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 20:52:11 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25  Running higher-order theorem proving
% 4.66/4.80  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.34/5.27  % (618516)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.34/5.27  % (618527)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.34/5.27  % (618527)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.34/5.27  % (618527)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3365644274:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2996 on theBenchmark for (2996ds/157Mi)
% 5.34/5.27  % (618521)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3802996414:s2a=on:i=87:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/87Mi)
% 5.34/5.27  % (618523)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=294707443:i=3:rtra=on:inj=on:ntd=on_2996 on theBenchmark for (2996ds/3Mi)
% 5.34/5.27  % (618524)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1784256479:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2996 on theBenchmark for (2996ds/634Mi)
% 5.34/5.27  % (618525)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3886221462:i=24:av=off:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.34/5.27  % (618526)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=64859098:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/75Mi)
% 5.34/5.27  % (618522)lrs+10_16_si=on:nwc=1.5:random_seed=455661880:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/18Mi)
% 5.34/5.27  % (618523)Instruction limit reached! 
% 5.34/5.27  % (618523)------------------------------
% 5.34/5.27  % (618523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/5.27  % (618523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/5.27  % (618523)CaDiCaL version: 2.1.3
% 5.34/5.27  % (618523)Termination reason: Instruction limit
% 5.34/5.27  % (618523)Termination phase: shuffling
% 5.34/5.27  % (618523)Time elapsed: 0.005 s
% 5.34/5.27  % (618523)Peak memory usage: 24 MB
% 5.34/5.27  % (618523)Instructions burned: 3 (million)
% 5.34/5.27  % (618522)Instruction limit reached! 
% 5.34/5.27  % (618522)------------------------------
% 5.34/5.27  % (618522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/5.27  % (618522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/5.27  % (618522)CaDiCaL version: 2.1.3
% 5.34/5.27  % (618522)Termination reason: Instruction limit
% 5.34/5.27  % (618522)Termination phase: shuffling
% 5.34/5.27  % (618522)Time elapsed: 0.018 s
% 5.34/5.27  % (618522)Peak memory usage: 25 MB
% 5.34/5.27  % (618522)Instructions burned: 18 (million)
% 5.34/5.27  % (618525)Instruction limit reached! 
% 5.34/5.27  % (618525)------------------------------
% 5.34/5.27  % (618525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/5.27  % (618525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/5.27  % (618525)CaDiCaL version: 2.1.3
% 5.34/5.27  % (618525)Termination reason: Instruction limit
% 5.34/5.27  % (618525)Termination phase: shuffling
% 5.34/5.27  % (618525)Time elapsed: 0.021 s
% 5.34/5.27  % (618525)Peak memory usage: 25 MB
% 5.34/5.27  % (618525)Instructions burned: 24 (million)
% 5.34/5.27  % (618535)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=803242603:i=2:hud=10:rtra=on_2996 on theBenchmark for (2996ds/2Mi)
% 5.34/5.27  % (618535)Instruction limit reached! 
% 5.34/5.27  % (618535)------------------------------
% 5.34/5.27  % (618535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/5.27  % (618535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/5.27  % (618535)CaDiCaL version: 2.1.3
% 5.34/5.27  % (618535)Termination reason: Instruction limit
% 5.34/5.27  % (618535)Termination phase: shuffling
% 5.34/5.27  % (618535)Time elapsed: 0.004 s
% 5.34/5.27  % (618535)Peak memory usage: 24 MB
% 5.34/5.27  % (618535)Instructions burned: 2 (million)
% 5.34/5.27  % (618527)Instruction limit reached! 
% 5.34/5.27  % (618527)------------------------------
% 5.34/5.27  % (618527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/5.27  % (618527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.32  % (618527)CaDiCaL version: 2.1.3
% 5.87/5.32  % (618527)Termination reason: Instruction limit
% 5.87/5.32  % (618527)Termination phase: shuffling
% 5.87/5.32  % (618527)Time elapsed: 0.045 s
% 5.87/5.32  % (618527)Peak memory usage: 28 MB
% 5.87/5.32  % (618527)Instructions burned: 160 (million)
% 5.87/5.32  % (618537)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.87/5.32  % (618526)Instruction limit reached! 
% 5.87/5.32  % (618526)------------------------------
% 5.87/5.32  % (618526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.32  % (618526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.32  % (618526)CaDiCaL version: 2.1.3
% 5.87/5.32  % (618526)Termination reason: Instruction limit
% 5.87/5.32  % (618526)Termination phase: shuffling
% 5.87/5.32  % (618526)Time elapsed: 0.041 s
% 5.87/5.32  % (618526)Peak memory usage: 26 MB
% 5.87/5.32  % (618526)Instructions burned: 76 (million)
% 5.87/5.32  % (618537)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3943688759:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 5.87/5.32  % (618521)Instruction limit reached! 
% 5.87/5.32  % (618521)------------------------------
% 5.87/5.32  % (618521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.32  % (618521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.32  % (618521)CaDiCaL version: 2.1.3
% 5.87/5.32  % (618521)Termination reason: Instruction limit
% 5.87/5.32  % (618521)Termination phase: shuffling
% 5.87/5.32  % (618521)Time elapsed: 0.049 s
% 5.87/5.32  % (618521)Peak memory usage: 27 MB
% 5.87/5.32  % (618521)Instructions burned: 87 (million)
% 5.87/5.32  % (618542)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=444795885:i=86:piset=equals:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/86Mi)
% 5.87/5.32  % (618537)Instruction limit reached! 
% 5.87/5.32  % (618537)------------------------------
% 5.87/5.32  % (618537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.32  % (618537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.32  % (618537)CaDiCaL version: 2.1.3
% 5.87/5.32  % (618537)Termination reason: Instruction limit
% 5.87/5.32  % (618537)Termination phase: shuffling
% 5.87/5.32  % (618537)Time elapsed: 0.012 s
% 5.87/5.32  % (618537)Peak memory usage: 24 MB
% 5.87/5.32  % (618537)Instructions burned: 7 (million)
% 5.87/5.32  % (618540)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.87/5.32  % (618540)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.87/5.32  % (618536)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1181618378:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/5Mi)
% 5.87/5.32  % (618539)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2227095841:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/12Mi)
% 5.87/5.32  % (618540)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1935991300:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2996 on theBenchmark for (2996ds/28Mi)
% 5.87/5.32  % (618536)Instruction limit reached! 
% 5.87/5.32  % (618536)------------------------------
% 5.87/5.32  % (618536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.32  % (618536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.32  % (618536)CaDiCaL version: 2.1.3
% 5.87/5.32  % (618536)Termination reason: Instruction limit
% 5.87/5.32  % (618536)Termination phase: shuffling
% 5.87/5.32  % (618536)Time elapsed: 0.012 s
% 5.87/5.32  % (618536)Peak memory usage: 24 MB
% 5.87/5.32  % (618536)Instructions burned: 5 (million)
% 5.87/5.32  % (618543)lrs+10_1_si=on:cs=on:random_seed=3761132421:i=8:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/8Mi)
% 5.87/5.32  % (618546)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 5.87/5.32  % (618546)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2071722289:i=2:add=on:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.87/5.37  % (618539)Instruction limit reached! 
% 5.87/5.37  % (618539)------------------------------
% 5.87/5.37  % (618539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.37  % (618539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.37  % (618539)CaDiCaL version: 2.1.3
% 5.87/5.37  % (618539)Termination reason: Instruction limit
% 5.87/5.37  % (618539)Termination phase: shuffling
% 5.87/5.37  % (618539)Time elapsed: 0.022 s
% 5.87/5.37  % (618539)Peak memory usage: 25 MB
% 5.87/5.37  % (618539)Instructions burned: 12 (million)
% 5.87/5.37  % (618546)Instruction limit reached! 
% 5.87/5.37  % (618546)------------------------------
% 5.87/5.37  % (618546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.37  % (618546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.37  % (618546)CaDiCaL version: 2.1.3
% 5.87/5.37  % (618546)Termination reason: Instruction limit
% 5.87/5.37  % (618546)Termination phase: shuffling
% 5.87/5.37  % (618546)Time elapsed: 0.003 s
% 5.87/5.37  % (618546)Peak memory usage: 24 MB
% 5.87/5.37  % (618546)Instructions burned: 2 (million)
% 5.87/5.37  % (618543)Instruction limit reached! 
% 5.87/5.37  % (618543)------------------------------
% 5.87/5.37  % (618543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.37  % (618543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.37  % (618543)CaDiCaL version: 2.1.3
% 5.87/5.37  % (618543)Termination reason: Instruction limit
% 5.87/5.37  % (618543)Termination phase: shuffling
% 5.87/5.37  % (618543)Time elapsed: 0.013 s
% 5.87/5.37  % (618543)Peak memory usage: 24 MB
% 5.87/5.37  % (618543)Instructions burned: 8 (million)
% 5.87/5.37  % (618540)Instruction limit reached! 
% 5.87/5.37  % (618540)------------------------------
% 5.87/5.37  % (618540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.37  % (618540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.37  % (618540)CaDiCaL version: 2.1.3
% 5.87/5.37  % (618540)Termination reason: Instruction limit
% 5.87/5.37  % (618540)Termination phase: shuffling
% 5.87/5.37  % (618540)Time elapsed: 0.025 s
% 5.87/5.37  % (618540)Peak memory usage: 26 MB
% 5.87/5.37  % (618540)Instructions burned: 28 (million)
% 5.87/5.37  % (618542)Instruction limit reached! 
% 5.87/5.37  % (618542)------------------------------
% 5.87/5.37  % (618542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.37  % (618542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.37  % (618542)CaDiCaL version: 2.1.3
% 5.87/5.37  % (618542)Termination reason: Instruction limit
% 5.87/5.37  % (618542)Termination phase: shuffling
% 5.87/5.37  % (618542)Time elapsed: 0.032 s
% 5.87/5.37  % (618542)Peak memory usage: 27 MB
% 5.87/5.37  % (618542)Instructions burned: 96 (million)
% 5.87/5.37  % (618550)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2128195686:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/38Mi)
% 5.87/5.37  % (618556)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3745175628:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/14Mi)
% 5.87/5.37  % (618552)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2753917723:st=2:i=249:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/249Mi)
% 5.87/5.37  % (618554)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2830778748:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2995 on theBenchmark for (2995ds/14Mi)
% 5.87/5.37  % (618555)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1339194759:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/327Mi)
% 5.87/5.37  % (618556)Instruction limit reached! 
% 5.87/5.37  % (618556)------------------------------
% 5.87/5.37  % (618556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/5.37  % (618556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/5.37  % (618556)CaDiCaL version: 2.1.3
% 5.87/5.37  % (618556)Termination reason: Instruction limit
% 5.87/5.37  % (618556)Termination phase: shuffling
% 5.87/5.37  % (618556)Time elapsed: 0.012 s
% 5.87/5.37  % (618556)Peak memory usage: 25 MB
% 5.87/5.37  % (618556)Instructions burned: 16 (million)
% 6.37/5.43  % (618553)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1303989158:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/25Mi)
% 6.37/5.43  % (618554)Instruction limit reached! 
% 6.37/5.43  % (618554)------------------------------
% 6.37/5.43  % (618554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.43  % (618554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.43  % (618554)CaDiCaL version: 2.1.3
% 6.37/5.43  % (618554)Termination reason: Instruction limit
% 6.37/5.43  % (618554)Termination phase: shuffling
% 6.37/5.43  % (618554)Time elapsed: 0.017 s
% 6.37/5.43  % (618554)Peak memory usage: 25 MB
% 6.37/5.43  % (618554)Instructions burned: 16 (million)
% 6.37/5.43  % (618563)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2966695215:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.37/5.43  % (618563)Instruction limit reached! 
% 6.37/5.43  % (618563)------------------------------
% 6.37/5.43  % (618563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.43  % (618563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.43  % (618563)CaDiCaL version: 2.1.3
% 6.37/5.43  % (618563)Termination reason: Instruction limit
% 6.37/5.43  % (618563)Termination phase: shuffling
% 6.37/5.43  % (618563)Time elapsed: 0.002 s
% 6.37/5.43  % (618563)Peak memory usage: 24 MB
% 6.37/5.43  % (618563)Instructions burned: 2 (million)
% 6.37/5.43  % (618550)Instruction limit reached! 
% 6.37/5.43  % (618550)------------------------------
% 6.37/5.43  % (618550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.43  % (618550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.43  % (618550)CaDiCaL version: 2.1.3
% 6.37/5.43  % (618550)Termination reason: Instruction limit
% 6.37/5.43  % (618550)Termination phase: shuffling
% 6.37/5.43  % (618550)Time elapsed: 0.029 s
% 6.37/5.43  % (618550)Peak memory usage: 25 MB
% 6.37/5.43  % (618550)Instructions burned: 39 (million)
% 6.37/5.43  % (618553)Instruction limit reached! 
% 6.37/5.43  % (618553)------------------------------
% 6.37/5.43  % (618553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.43  % (618553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.43  % (618553)CaDiCaL version: 2.1.3
% 6.37/5.43  % (618553)Termination reason: Instruction limit
% 6.37/5.43  % (618553)Termination phase: shuffling
% 6.37/5.43  % (618553)Time elapsed: 0.023 s
% 6.37/5.43  % (618553)Peak memory usage: 25 MB
% 6.37/5.43  % (618553)Instructions burned: 26 (million)
% 6.37/5.43  % (618565)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3220549065:i=26:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/26Mi)
% 6.37/5.43  % (618566)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3228284599:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/23Mi)
% 6.37/5.43  % (618567)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2004822964:cond=on:i=60:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/60Mi)
% 6.37/5.43  % (618565)Instruction limit reached! 
% 6.37/5.43  % (618565)------------------------------
% 6.37/5.43  % (618565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.43  % (618565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.43  % (618565)CaDiCaL version: 2.1.3
% 6.37/5.43  % (618565)Termination reason: Instruction limit
% 6.37/5.43  % (618565)Termination phase: shuffling
% 6.37/5.43  % (618565)Time elapsed: 0.015 s
% 6.37/5.43  % (618565)Peak memory usage: 26 MB
% 6.37/5.43  % (618565)Instructions burned: 28 (million)
% 6.37/5.43  % (618569)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.37/5.43  % (618569)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 6.37/5.43  % (618569)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=198626901:i=14:add=off:nm=40:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/14Mi)
% 6.37/5.43  % (618572)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 6.37/5.50  % (618572)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2373520138:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2994 on theBenchmark for (2994ds/8Mi)
% 6.37/5.50  % (618566)Instruction limit reached! 
% 6.37/5.50  % (618566)------------------------------
% 6.37/5.50  % (618566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.50  % (618566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.50  % (618566)CaDiCaL version: 2.1.3
% 6.37/5.50  % (618566)Termination reason: Instruction limit
% 6.37/5.50  % (618566)Termination phase: shuffling
% 6.37/5.50  % (618566)Time elapsed: 0.022 s
% 6.37/5.50  % (618566)Peak memory usage: 25 MB
% 6.37/5.50  % (618566)Instructions burned: 24 (million)
% 6.37/5.50  % (618572)Instruction limit reached! 
% 6.37/5.50  % (618572)------------------------------
% 6.37/5.50  % (618572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.50  % (618569)Instruction limit reached! 
% 6.37/5.50  % (618569)------------------------------
% 6.37/5.50  % (618569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.50  % (618569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.50  % (618572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.50  % (618569)CaDiCaL version: 2.1.3
% 6.37/5.50  % (618569)Termination reason: Instruction limit
% 6.37/5.50  % (618569)Termination phase: shuffling
% 6.37/5.50  % (618569)Time elapsed: 0.017 s
% 6.37/5.50  % (618569)Peak memory usage: 25 MB
% 6.37/5.50  % (618572)CaDiCaL version: 2.1.3
% 6.37/5.50  % (618569)Instructions burned: 14 (million)
% 6.37/5.50  % (618572)Termination reason: Instruction limit
% 6.37/5.50  % (618572)Termination phase: shuffling
% 6.37/5.50  % (618572)Time elapsed: 0.009 s
% 6.37/5.50  % (618572)Peak memory usage: 25 MB
% 6.37/5.50  % (618572)Instructions burned: 9 (million)
% 6.37/5.50  % (618576)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3106072199:i=7:hud=5:bd=preordered:rtra=on:bet=on_2994 on theBenchmark for (2994ds/7Mi)
% 6.37/5.50  % (618575)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4130466673:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2994 on theBenchmark for (2994ds/31Mi)
% 6.37/5.50  % (618576)Instruction limit reached! 
% 6.37/5.50  % (618576)------------------------------
% 6.37/5.50  % (618576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.50  % (618576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.50  % (618576)CaDiCaL version: 2.1.3
% 6.37/5.50  % (618576)Termination reason: Instruction limit
% 6.37/5.50  % (618576)Termination phase: shuffling
% 6.37/5.50  % (618576)Time elapsed: 0.007 s
% 6.37/5.50  % (618576)Peak memory usage: 24 MB
% 6.37/5.50  % (618576)Instructions burned: 7 (million)
% 6.37/5.50  % (618577)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=291696078:i=23:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/23Mi)
% 6.37/5.50  % (618567)Instruction limit reached! 
% 6.37/5.50  % (618567)------------------------------
% 6.37/5.50  % (618567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.50  % (618567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.50  % (618567)CaDiCaL version: 2.1.3
% 6.37/5.50  % (618567)Termination reason: Instruction limit
% 6.37/5.50  % (618567)Termination phase: shuffling
% 6.37/5.50  % (618567)Time elapsed: 0.051 s
% 6.37/5.50  % (618567)Peak memory usage: 26 MB
% 6.37/5.50  % (618567)Instructions burned: 60 (million)
% 6.37/5.50  % (618581)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1360355350:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/20Mi)
% 6.37/5.50  % (618575)Instruction limit reached! 
% 6.37/5.50  % (618575)------------------------------
% 6.37/5.50  % (618575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/5.50  % (618575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/5.50  % (618575)CaDiCaL version: 2.1.3
% 6.37/5.50  % (618575)Termination reason: Instruction limit
% 6.37/5.50  % (618575)Termination phase: shuffling
% 6.37/5.50  % (618575)Time elapsed: 0.026 s
% 6.37/5.50  % (618575)Peak memory usage: 26 MB
% 6.37/5.50  % (618575)Instructions burned: 32 (million)
% 7.23/5.58  % (618552)Instruction limit reached! 
% 7.23/5.58  % (618552)------------------------------
% 7.23/5.58  % (618552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.58  % (618552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.58  % (618552)CaDiCaL version: 2.1.3
% 7.23/5.58  % (618552)Termination reason: Instruction limit
% 7.23/5.58  % (618552)Termination phase: shuffling
% 7.23/5.58  % (618552)Time elapsed: 0.116 s
% 7.23/5.58  % (618552)Peak memory usage: 29 MB
% 7.23/5.58  % (618552)Instructions burned: 251 (million)
% 7.23/5.58  % (618582)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=665762831:i=1240:rtra=on:ixr=off_2994 on theBenchmark for (2994ds/1240Mi)
% 7.23/5.58  % (618577)Instruction limit reached! 
% 7.23/5.58  % (618577)------------------------------
% 7.23/5.58  % (618577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.58  % (618577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.58  % (618577)CaDiCaL version: 2.1.3
% 7.23/5.58  % (618577)Termination reason: Instruction limit
% 7.23/5.58  % (618577)Termination phase: shuffling
% 7.23/5.58  % (618577)Time elapsed: 0.023 s
% 7.23/5.58  % (618577)Peak memory usage: 26 MB
% 7.23/5.58  % (618577)Instructions burned: 24 (million)
% 7.23/5.58  % (618581)Instruction limit reached! 
% 7.23/5.58  % (618581)------------------------------
% 7.23/5.58  % (618581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.58  % (618581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.58  % (618581)CaDiCaL version: 2.1.3
% 7.23/5.58  % (618581)Termination reason: Instruction limit
% 7.23/5.58  % (618581)Termination phase: shuffling
% 7.23/5.58  % (618581)Time elapsed: 0.022 s
% 7.23/5.58  % (618581)Peak memory usage: 25 MB
% 7.23/5.58  % (618581)Instructions burned: 22 (million)
% 7.23/5.58  % (618585)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3365631019:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/143Mi)
% 7.23/5.58  % (618586)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3080779593:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/193Mi)
% 7.23/5.58  % (618587)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=98636215:i=42:hud=10:rtra=on_2994 on theBenchmark for (2994ds/42Mi)
% 7.23/5.58  % (618588)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.23/5.58  % (618588)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3314282116:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2994 on theBenchmark for (2994ds/7Mi)
% 7.23/5.58  % (618555)Instruction limit reached! 
% 7.23/5.58  % (618555)------------------------------
% 7.23/5.58  % (618555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.58  % (618555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.58  % (618555)CaDiCaL version: 2.1.3
% 7.23/5.58  % (618555)Termination reason: Instruction limit
% 7.23/5.58  % (618555)Termination phase: shuffling
% 7.23/5.58  % (618555)Time elapsed: 0.151 s
% 7.23/5.58  % (618555)Peak memory usage: 30 MB
% 7.23/5.58  % (618555)Instructions burned: 327 (million)
% 7.23/5.58  % (618588)Instruction limit reached! 
% 7.23/5.58  % (618588)------------------------------
% 7.23/5.58  % (618588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.58  % (618588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.58  % (618588)CaDiCaL version: 2.1.3
% 7.23/5.58  % (618588)Termination reason: Instruction limit
% 7.23/5.58  % (618588)Termination phase: shuffling
% 7.23/5.58  % (618588)Time elapsed: 0.011 s
% 7.23/5.58  % (618588)Peak memory usage: 24 MB
% 7.23/5.58  % (618588)Instructions burned: 7 (million)
% 7.23/5.58  % (618587)Instruction limit reached! 
% 7.23/5.58  % (618587)------------------------------
% 7.23/5.58  % (618587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.58  % (618587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.58  % (618587)CaDiCaL version: 2.1.3
% 7.23/5.58  % (618587)Termination reason: Instruction limit
% 7.23/5.58  % (618587)Termination phase: shuffling
% 7.23/5.58  % (618587)Time elapsed: 0.030 s
% 7.23/5.58  % (618587)Peak memory usage: 26 MB
% 7.23/5.58  % (618587)Instructions burned: 44 (million)
% 7.63/5.69  % (618524)Instruction limit reached! 
% 7.63/5.69  % (618524)------------------------------
% 7.63/5.69  % (618524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/5.69  % (618524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/5.69  % (618524)CaDiCaL version: 2.1.3
% 7.63/5.69  % (618524)Termination reason: Instruction limit
% 7.63/5.69  % (618524)Termination phase: shuffling
% 7.63/5.69  % (618524)Time elapsed: 0.275 s
% 7.63/5.69  % (618524)Peak memory usage: 26 MB
% 7.63/5.69  % (618524)Instructions burned: 636 (million)
% 7.63/5.69  % (618593)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4030693975:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/181Mi)
% 7.63/5.69  % (618594)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2129556449:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/169Mi)
% 7.63/5.69  % (618595)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 7.63/5.69  % (618595)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3846254497:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2993 on theBenchmark for (2993ds/6Mi)
% 7.63/5.69  % (618596)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=180974393:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 7.63/5.69  % (618595)Instruction limit reached! 
% 7.63/5.69  % (618595)------------------------------
% 7.63/5.69  % (618595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/5.69  % (618595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/5.69  % (618595)CaDiCaL version: 2.1.3
% 7.63/5.69  % (618595)Termination reason: Instruction limit
% 7.63/5.69  % (618595)Termination phase: shuffling
% 7.63/5.69  % (618595)Time elapsed: 0.009 s
% 7.63/5.69  % (618595)Peak memory usage: 24 MB
% 7.63/5.69  % (618595)Instructions burned: 6 (million)
% 7.63/5.69  % (618585)Instruction limit reached! 
% 7.63/5.69  % (618585)------------------------------
% 7.63/5.69  % (618585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/5.69  % (618585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/5.69  % (618585)CaDiCaL version: 2.1.3
% 7.63/5.69  % (618585)Termination reason: Instruction limit
% 7.63/5.69  % (618585)Termination phase: shuffling
% 7.63/5.69  % (618585)Time elapsed: 0.074 s
% 7.63/5.69  % (618585)Peak memory usage: 27 MB
% 7.63/5.69  % (618585)Instructions burned: 144 (million)
% 7.63/5.69  % (618596)Instruction limit reached! 
% 7.63/5.69  % (618596)------------------------------
% 7.63/5.69  % (618596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/5.69  % (618596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/5.69  % (618596)CaDiCaL version: 2.1.3
% 7.63/5.69  % (618596)Termination reason: Instruction limit
% 7.63/5.69  % (618596)Termination phase: shuffling
% 7.63/5.69  % (618596)Time elapsed: 0.021 s
% 7.63/5.69  % (618596)Peak memory usage: 25 MB
% 7.63/5.69  % (618596)Instructions burned: 24 (million)
% 7.63/5.69  % (618601)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2113403340:i=19:add=on:rtra=on_2993 on theBenchmark for (2993ds/19Mi)
% 7.63/5.69  % (618586)Instruction limit reached! 
% 7.63/5.69  % (618586)------------------------------
% 7.63/5.69  % (618586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/5.69  % (618586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/5.69  % (618586)CaDiCaL version: 2.1.3
% 7.63/5.69  % (618586)Termination reason: Instruction limit
% 7.63/5.69  % (618586)Termination phase: shuffling
% 7.63/5.69  % (618586)Time elapsed: 0.092 s
% 7.63/5.69  % (618586)Peak memory usage: 28 MB
% 7.63/5.69  % (618586)Instructions burned: 193 (million)
% 7.63/5.69  % (618602)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2828530581:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/316Mi)
% 7.63/5.69  % (618603)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2399596051:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2993 on theBenchmark for (2993ds/853Mi)
% 8.43/5.78  % (618601)Instruction limit reached! 
% 8.43/5.78  % (618601)------------------------------
% 8.43/5.78  % (618601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/5.78  % (618601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/5.78  % (618601)CaDiCaL version: 2.1.3
% 8.43/5.78  % (618601)Termination reason: Instruction limit
% 8.43/5.78  % (618601)Termination phase: shuffling
% 8.43/5.78  % (618601)Time elapsed: 0.021 s
% 8.43/5.78  % (618601)Peak memory usage: 25 MB
% 8.43/5.78  % (618601)Instructions burned: 21 (million)
% 8.43/5.78  % (618606)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2040061584:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2993 on theBenchmark for (2993ds/45Mi)
% 8.43/5.78  % (618608)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2291497806:i=480:rtra=on_2992 on theBenchmark for (2992ds/480Mi)
% 8.43/5.78  % (618593)Instruction limit reached! 
% 8.43/5.78  % (618593)------------------------------
% 8.43/5.78  % (618593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/5.78  % (618593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/5.78  % (618593)CaDiCaL version: 2.1.3
% 8.43/5.78  % (618593)Termination reason: Instruction limit
% 8.43/5.78  % (618593)Termination phase: shuffling
% 8.43/5.78  % (618593)Time elapsed: 0.092 s
% 8.43/5.78  % (618593)Peak memory usage: 28 MB
% 8.43/5.78  % (618593)Instructions burned: 183 (million)
% 8.43/5.78  % (618594)Instruction limit reached! 
% 8.43/5.78  % (618594)------------------------------
% 8.43/5.78  % (618594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/5.78  % (618594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/5.78  % (618594)CaDiCaL version: 2.1.3
% 8.43/5.78  % (618594)Termination reason: Instruction limit
% 8.43/5.78  % (618594)Termination phase: shuffling
% 8.43/5.78  % (618594)Time elapsed: 0.085 s
% 8.43/5.78  % (618594)Peak memory usage: 28 MB
% 8.43/5.78  % (618594)Instructions burned: 171 (million)
% 8.43/5.78  % (618606)Instruction limit reached! 
% 8.43/5.78  % (618606)------------------------------
% 8.43/5.78  % (618606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/5.78  % (618606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/5.78  % (618606)CaDiCaL version: 2.1.3
% 8.43/5.78  % (618606)Termination reason: Instruction limit
% 8.43/5.78  % (618606)Termination phase: Property scanning
% 8.43/5.78  % (618606)Time elapsed: 0.029 s
% 8.43/5.78  % (618606)Peak memory usage: 25 MB
% 8.43/5.78  % (618606)Instructions burned: 46 (million)
% 8.43/5.78  % (618612)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.43/5.78  % (618611)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2489577487:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2992 on theBenchmark for (2992ds/21Mi)
% 8.43/5.78  % (618612)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=172813259:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/200Mi)
% 8.43/5.78  % (618613)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3653610358:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/13Mi)
% 8.43/5.78  % (618611)Instruction limit reached! 
% 8.43/5.78  % (618611)------------------------------
% 8.43/5.78  % (618611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/5.78  % (618611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/5.78  % (618611)CaDiCaL version: 2.1.3
% 8.43/5.78  % (618611)Termination reason: Instruction limit
% 8.43/5.78  % (618611)Termination phase: shuffling
% 8.43/5.78  % (618611)Time elapsed: 0.021 s
% 8.43/5.78  % (618611)Peak memory usage: 25 MB
% 8.43/5.78  % (618611)Instructions burned: 21 (million)
% 8.43/5.78  % (618613)Instruction limit reached! 
% 8.43/5.78  % (618613)------------------------------
% 8.43/5.78  % (618613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/5.78  % (618613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/5.78  % (618613)CaDiCaL version: 2.1.3
% 9.07/5.89  % (618613)Termination reason: Instruction limit
% 9.07/5.89  % (618613)Termination phase: shuffling
% 9.07/5.89  % (618613)Time elapsed: 0.017 s
% 9.07/5.89  % (618613)Peak memory usage: 25 MB
% 9.07/5.89  % (618613)Instructions burned: 14 (million)
% 9.07/5.89  % (618617)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1758810824:i=66:s2at=3:nm=2:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/66Mi)
% 9.07/5.89  % (618618)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=393220028:i=51:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/51Mi)
% 9.07/5.89  % (618618)Instruction limit reached! 
% 9.07/5.89  % (618618)------------------------------
% 9.07/5.89  % (618618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.07/5.89  % (618618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/5.89  % (618618)CaDiCaL version: 2.1.3
% 9.07/5.89  % (618618)Termination reason: Instruction limit
% 9.07/5.89  % (618618)Termination phase: shuffling
% 9.07/5.89  % (618618)Time elapsed: 0.033 s
% 9.07/5.89  % (618618)Peak memory usage: 26 MB
% 9.07/5.89  % (618618)Instructions burned: 52 (million)
% 9.07/5.89  % (618617)Instruction limit reached! 
% 9.07/5.89  % (618617)------------------------------
% 9.07/5.89  % (618617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.07/5.89  % (618617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/5.89  % (618617)CaDiCaL version: 2.1.3
% 9.07/5.89  % (618617)Termination reason: Instruction limit
% 9.07/5.89  % (618617)Termination phase: shuffling
% 9.07/5.89  % (618617)Time elapsed: 0.041 s
% 9.07/5.89  % (618617)Peak memory usage: 27 MB
% 9.07/5.89  % (618617)Instructions burned: 67 (million)
% 9.07/5.89  % (618602)Instruction limit reached! 
% 9.07/5.89  % (618602)------------------------------
% 9.07/5.89  % (618602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.07/5.89  % (618602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/5.89  % (618602)CaDiCaL version: 2.1.3
% 9.07/5.89  % (618602)Termination reason: Instruction limit
% 9.07/5.89  % (618602)Termination phase: shuffling
% 9.07/5.89  % (618602)Time elapsed: 0.154 s
% 9.07/5.89  % (618602)Peak memory usage: 32 MB
% 9.07/5.89  % (618602)Instructions burned: 316 (million)
% 9.07/5.89  % (618612)Instruction limit reached! 
% 9.07/5.89  % (618612)------------------------------
% 9.07/5.89  % (618612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.07/5.89  % (618612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/5.89  % (618612)CaDiCaL version: 2.1.3
% 9.07/5.89  % (618612)Termination reason: Instruction limit
% 9.07/5.89  % (618612)Termination phase: shuffling
% 9.07/5.89  % (618612)Time elapsed: 0.100 s
% 9.07/5.89  % (618612)Peak memory usage: 28 MB
% 9.07/5.89  % (618612)Instructions burned: 207 (million)
% 9.07/5.89  % (618621)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3558515525:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 9.07/5.89  % (618622)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3778241983:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2991 on theBenchmark for (2991ds/137Mi)
% 9.07/5.89  % (618623)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=129825897:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 9.07/5.89  % (618626)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3632752412:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2991 on theBenchmark for (2991ds/67Mi)
% 9.07/5.89  % (618621)Instruction limit reached! 
% 9.07/5.89  % (618621)------------------------------
% 9.07/5.89  % (618621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.07/5.89  % (618621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/5.89  % (618621)CaDiCaL version: 2.1.3
% 9.07/5.89  % (618621)Termination reason: Instruction limit
% 9.07/5.89  % (618621)Termination phase: shuffling
% 9.07/5.89  % (618621)Time elapsed: 0.027 s
% 9.07/5.89  % (618621)Peak memory usage: 26 MB
% 9.07/5.89  % (618621)Instructions burned: 33 (million)
% 9.07/5.89  % (618582)Instruction limit reached! 
% 9.07/5.89  % (618582)------------------------------
% 9.07/5.89  % (618582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/6.05  % (618582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/6.05  % (618582)CaDiCaL version: 2.1.3
% 9.88/6.05  % (618582)Termination reason: Instruction limit
% 9.88/6.05  % (618582)Termination phase: shuffling
% 9.88/6.05  % (618582)Time elapsed: 0.318 s
% 9.88/6.05  % (618582)Peak memory usage: 50 MB
% 9.88/6.05  % (618582)Instructions burned: 1243 (million)
% 9.88/6.05  % (618623)Instruction limit reached! 
% 9.88/6.05  % (618623)------------------------------
% 9.88/6.05  % (618623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/6.05  % (618623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/6.05  % (618623)CaDiCaL version: 2.1.3
% 9.88/6.05  % (618623)Termination reason: Instruction limit
% 9.88/6.05  % (618623)Termination phase: shuffling
% 9.88/6.05  % (618623)Time elapsed: 0.028 s
% 9.88/6.05  % (618623)Peak memory usage: 26 MB
% 9.88/6.05  % (618623)Instructions burned: 36 (million)
% 9.88/6.05  % (618629)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 9.88/6.05  % (618629)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=41252347:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2991 on theBenchmark for (2991ds/180Mi)
% 9.88/6.05  % (618631)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1344323754:cond=on:i=96:bd=all:rtra=on_2991 on theBenchmark for (2991ds/96Mi)
% 9.88/6.05  % (618626)Instruction limit reached! 
% 9.88/6.05  % (618626)------------------------------
% 9.88/6.05  % (618626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/6.05  % (618626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/6.05  % (618626)CaDiCaL version: 2.1.3
% 9.88/6.05  % (618626)Termination reason: Instruction limit
% 9.88/6.05  % (618626)Termination phase: shuffling
% 9.88/6.05  % (618626)Time elapsed: 0.042 s
% 9.88/6.05  % (618630)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=731703952:st=2:i=246:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/246Mi)
% 9.88/6.05  % (618626)Peak memory usage: 27 MB
% 9.88/6.05  % (618626)Instructions burned: 67 (million)
% 9.88/6.05  % (618622)Instruction limit reached! 
% 9.88/6.05  % (618622)------------------------------
% 9.88/6.05  % (618622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/6.05  % (618622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/6.05  % (618622)CaDiCaL version: 2.1.3
% 9.88/6.05  % (618622)Termination reason: Instruction limit
% 9.88/6.05  % (618622)Termination phase: shuffling
% 9.88/6.05  % (618622)Time elapsed: 0.069 s
% 9.88/6.05  % (618622)Peak memory usage: 27 MB
% 9.88/6.05  % (618622)Instructions burned: 137 (million)
% 9.88/6.05  % (618635)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=573456886:i=427:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/427Mi)
% 9.88/6.05  % (618631)Instruction limit reached! 
% 9.88/6.05  % (618631)------------------------------
% 9.88/6.05  % (618631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/6.05  % (618631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/6.05  % (618631)CaDiCaL version: 2.1.3
% 9.88/6.05  % (618631)Termination reason: Instruction limit
% 9.88/6.05  % (618631)Termination phase: shuffling
% 9.88/6.05  % (618631)Time elapsed: 0.030 s
% 9.88/6.05  % (618631)Peak memory usage: 27 MB
% 9.88/6.05  % (618631)Instructions burned: 97 (million)
% 9.88/6.05  % (618636)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4161773988:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/874Mi)
% 9.88/6.05  % (618638)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=943964076:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/515Mi)
% 9.88/6.05  % (618608)Instruction limit reached! 
% 9.88/6.05  % (618608)------------------------------
% 9.88/6.05  % (618608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.88/6.05  % (618608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/6.05  % (618608)CaDiCaL version: 2.1.3
% 9.88/6.05  % (618608)Termination reason: Instruction limit
% 9.88/6.05  % (618608)Termination phase: shuffling
% 9.88/6.05  % (618608)Time elapsed: 0.240 s
% 9.88/6.05  % (618608)Peak memory usage: 32 MB
% 9.88/6.05  % (618608)Instructions burned: 480 (million)
% 9.88/6.05  % (618641)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=348442003:st=1.5:i=130:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 11.49/6.14  % (618629)Instruction limit reached! 
% 11.49/6.14  % (618629)------------------------------
% 11.49/6.14  % (618629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.49/6.14  % (618629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/6.14  % (618629)CaDiCaL version: 2.1.3
% 11.49/6.14  % (618629)Termination reason: Instruction limit
% 11.49/6.14  % (618629)Termination phase: shuffling
% 11.49/6.14  % (618629)Time elapsed: 0.091 s
% 11.49/6.14  % (618629)Peak memory usage: 29 MB
% 11.49/6.14  % (618629)Instructions burned: 182 (million)
% 11.49/6.14  % (618643)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1099366017:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 11.49/6.14  % (618630)Instruction limit reached! 
% 11.49/6.14  % (618630)------------------------------
% 11.49/6.14  % (618630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.49/6.14  % (618630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/6.14  % (618630)CaDiCaL version: 2.1.3
% 11.49/6.14  % (618630)Termination reason: Instruction limit
% 11.49/6.14  % (618630)Termination phase: shuffling
% 11.49/6.14  % (618630)Time elapsed: 0.115 s
% 11.49/6.14  % (618630)Peak memory usage: 29 MB
% 11.49/6.14  % (618630)Instructions burned: 247 (million)
% 11.49/6.14  % (618643)Instruction limit reached! 
% 11.49/6.14  % (618643)------------------------------
% 11.49/6.14  % (618643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.49/6.14  % (618643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/6.14  % (618643)CaDiCaL version: 2.1.3
% 11.49/6.14  % (618643)Termination reason: Instruction limit
% 11.49/6.14  % (618643)Termination phase: shuffling
% 11.49/6.14  % (618643)Time elapsed: 0.032 s
% 11.49/6.14  % (618643)Peak memory usage: 26 MB
% 11.49/6.14  % (618643)Instructions burned: 46 (million)
% 11.49/6.14  % (618645)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=126001224:s2a=on:i=571:nm=16:rtra=on_2989 on theBenchmark for (2989ds/571Mi)
% 11.49/6.14  % (618641)Instruction limit reached! 
% 11.49/6.14  % (618641)------------------------------
% 11.49/6.14  % (618641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.49/6.14  % (618641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/6.14  % (618641)CaDiCaL version: 2.1.3
% 11.49/6.14  % (618641)Termination reason: Instruction limit
% 11.49/6.14  % (618641)Termination phase: shuffling
% 11.49/6.14  % (618641)Time elapsed: 0.070 s
% 11.49/6.14  % (618641)Peak memory usage: 28 MB
% 11.49/6.14  % (618641)Instructions burned: 130 (million)
% 11.49/6.14  % (618603)Instruction limit reached! 
% 11.49/6.14  % (618603)------------------------------
% 11.49/6.14  % (618603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.49/6.14  % (618603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/6.14  % (618603)CaDiCaL version: 2.1.3
% 11.49/6.14  % (618603)Termination reason: Instruction limit
% 11.49/6.14  % (618603)Termination phase: shuffling
% 11.49/6.14  % (618603)Time elapsed: 0.368 s
% 11.49/6.14  % (618603)Peak memory usage: 30 MB
% 11.49/6.14  % (618603)Instructions burned: 854 (million)
% 11.49/6.14  % (618646)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2803161336:i=450:rtra=on:ixr=off:ntd=on_2989 on theBenchmark for (2989ds/450Mi)
% 11.49/6.14  % (618638)Instruction limit reached! 
% 11.49/6.14  % (618638)------------------------------
% 11.49/6.14  % (618638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.49/6.14  % (618638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/6.14  % (618638)CaDiCaL version: 2.1.3
% 11.49/6.14  % (618638)Termination reason: Instruction limit
% 11.49/6.14  % (618638)Termination phase: shuffling
% 11.49/6.14  % (618638)Time elapsed: 0.124 s
% 11.49/6.14  % (618638)Peak memory usage: 32 MB
% 11.49/6.14  % (618638)Instructions burned: 518 (million)
% 11.49/6.14  % (618648)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3776762767:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/95Mi)
% 11.49/6.14  % (618649)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=4035439266:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 11.49/6.14  % (618652)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=532538942:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/105Mi)
% 12.17/6.29  % (618652)Instruction limit reached! 
% 12.17/6.29  % (618652)------------------------------
% 12.17/6.29  % (618652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/6.29  % (618652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/6.29  % (618652)CaDiCaL version: 2.1.3
% 12.17/6.29  % (618652)Termination reason: Instruction limit
% 12.17/6.29  % (618652)Termination phase: shuffling
% 12.17/6.29  % (618652)Time elapsed: 0.032 s
% 12.17/6.29  % (618652)Peak memory usage: 27 MB
% 12.17/6.29  % (618652)Instructions burned: 110 (million)
% 12.17/6.29  % (618649)Instruction limit reached! 
% 12.17/6.29  % (618649)------------------------------
% 12.17/6.29  % (618649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/6.29  % (618649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/6.29  % (618649)CaDiCaL version: 2.1.3
% 12.17/6.29  % (618649)Termination reason: Instruction limit
% 12.17/6.29  % (618649)Termination phase: shuffling
% 12.17/6.29  % (618649)Time elapsed: 0.041 s
% 12.17/6.29  % (618649)Peak memory usage: 27 MB
% 12.17/6.29  % (618649)Instructions burned: 68 (million)
% 12.17/6.29  % (618648)Instruction limit reached! 
% 12.17/6.29  % (618648)------------------------------
% 12.17/6.29  % (618648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/6.29  % (618648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/6.29  % (618648)CaDiCaL version: 2.1.3
% 12.17/6.29  % (618648)Termination reason: Instruction limit
% 12.17/6.29  % (618648)Termination phase: shuffling
% 12.17/6.29  % (618648)Time elapsed: 0.054 s
% 12.17/6.29  % (618648)Peak memory usage: 27 MB
% 12.17/6.29  % (618648)Instructions burned: 96 (million)
% 12.17/6.29  % (618635)Instruction limit reached! 
% 12.17/6.29  % (618635)------------------------------
% 12.17/6.29  % (618635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/6.29  % (618635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/6.29  % (618635)CaDiCaL version: 2.1.3
% 12.17/6.29  % (618635)Termination reason: Instruction limit
% 12.17/6.29  % (618635)Termination phase: shuffling
% 12.17/6.29  % (618635)Time elapsed: 0.194 s
% 12.17/6.29  % (618635)Peak memory usage: 31 MB
% 12.17/6.29  % (618635)Instructions burned: 428 (million)
% 12.17/6.29  % (618655)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2361586844:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2988 on theBenchmark for (2988ds/5755Mi)
% 12.17/6.29  % (618656)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=915369665:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/375Mi)
% 12.17/6.29  % (618657)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=525740237:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/495Mi)
% 12.17/6.29  % (618659)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=175287700:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 12.17/6.29  % (618659)Instruction limit reached! 
% 12.17/6.29  % (618659)------------------------------
% 12.17/6.29  % (618659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/6.29  % (618659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/6.29  % (618659)CaDiCaL version: 2.1.3
% 12.17/6.29  % (618659)Termination reason: Instruction limit
% 12.17/6.29  % (618659)Termination phase: shuffling
% 12.17/6.29  % (618659)Time elapsed: 0.027 s
% 12.17/6.29  % (618659)Peak memory usage: 26 MB
% 12.17/6.29  % (618659)Instructions burned: 35 (million)
% 12.17/6.29  % (618663)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2036113632:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 12.17/6.29  % (618663)Instruction limit reached! 
% 12.17/6.29  % (618663)------------------------------
% 12.17/6.29  % (618663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/6.29  % (618663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618663)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618663)Termination reason: Instruction limit
% 13.34/6.43  % (618663)Termination phase: shuffling
% 13.34/6.43  % (618663)Time elapsed: 0.050 s
% 13.34/6.43  % (618663)Peak memory usage: 27 MB
% 13.34/6.43  % (618663)Instructions burned: 91 (million)
% 13.34/6.43  % (618646)Instruction limit reached! 
% 13.34/6.43  % (618646)------------------------------
% 13.34/6.43  % (618646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/6.43  % (618646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618646)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618646)Termination reason: Instruction limit
% 13.34/6.43  % (618646)Termination phase: shuffling
% 13.34/6.43  % (618646)Time elapsed: 0.198 s
% 13.34/6.43  % (618646)Peak memory usage: 31 MB
% 13.34/6.43  % (618646)Instructions burned: 450 (million)
% 13.34/6.43  % (618665)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=496411531:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2987 on theBenchmark for (2987ds/66Mi)
% 13.34/6.43  % (618666)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3107106896:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 13.34/6.43  % (618645)Instruction limit reached! 
% 13.34/6.43  % (618645)------------------------------
% 13.34/6.43  % (618645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/6.43  % (618645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618645)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618645)Termination reason: Instruction limit
% 13.34/6.43  % (618645)Termination phase: shuffling
% 13.34/6.43  % (618645)Time elapsed: 0.252 s
% 13.34/6.43  % (618645)Peak memory usage: 33 MB
% 13.34/6.43  % (618645)Instructions burned: 573 (million)
% 13.34/6.43  % (618666)Instruction limit reached! 
% 13.34/6.43  % (618666)------------------------------
% 13.34/6.43  % (618666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/6.43  % (618666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618666)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618666)Termination reason: Instruction limit
% 13.34/6.43  % (618666)Termination phase: shuffling
% 13.34/6.43  % (618666)Time elapsed: 0.021 s
% 13.34/6.43  % (618666)Peak memory usage: 25 MB
% 13.34/6.43  % (618666)Instructions burned: 22 (million)
% 13.34/6.43  % (618665)Instruction limit reached! 
% 13.34/6.43  % (618665)------------------------------
% 13.34/6.43  % (618665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/6.43  % (618665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618665)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618665)Termination reason: Instruction limit
% 13.34/6.43  % (618665)Termination phase: shuffling
% 13.34/6.43  % (618665)Time elapsed: 0.041 s
% 13.34/6.43  % (618665)Peak memory usage: 27 MB
% 13.34/6.43  % (618665)Instructions burned: 67 (million)
% 13.34/6.43  % (618656)Instruction limit reached! 
% 13.34/6.43  % (618656)------------------------------
% 13.34/6.43  % (618656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/6.43  % (618656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618656)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618656)Termination reason: Instruction limit
% 13.34/6.43  % (618656)Termination phase: shuffling
% 13.34/6.43  % (618656)Time elapsed: 0.172 s
% 13.34/6.43  % (618656)Peak memory usage: 31 MB
% 13.34/6.43  % (618656)Instructions burned: 384 (million)
% 13.34/6.43  % (618636)Instruction limit reached! 
% 13.34/6.43  % (618636)------------------------------
% 13.34/6.43  % (618636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/6.43  % (618636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/6.43  % (618636)CaDiCaL version: 2.1.3
% 13.34/6.43  % (618636)Termination reason: Instruction limit
% 13.34/6.43  % (618636)Termination phase: shuffling
% 13.34/6.43  % (618636)Time elapsed: 0.380 s
% 13.34/6.43  % (618636)Peak memory usage: 37 MB
% 13.34/6.43  % (618636)Instructions burned: 877 (million)
% 13.34/6.43  % (618669)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2542010700:i=338:bd=all:ins=4:rtra=on_2986 on theBenchmark for (2986ds/338Mi)
% 13.34/6.43  % (618671)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 13.34/6.43  % (618670)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2209549714:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/28Mi)
% 14.78/6.60  % (618671)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1958723734:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2986 on theBenchmark for (2986ds/137Mi)
% 14.78/6.60  % (618672)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=890799937:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/340Mi)
% 14.78/6.60  % (618674)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1617059224:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 14.78/6.60  % (618670)Instruction limit reached! 
% 14.78/6.60  % (618670)------------------------------
% 14.78/6.60  % (618670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/6.60  % (618670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/6.60  % (618670)CaDiCaL version: 2.1.3
% 14.78/6.61  % (618670)Termination reason: Instruction limit
% 14.78/6.61  % (618670)Termination phase: shuffling
% 14.78/6.61  % (618670)Time elapsed: 0.023 s
% 14.78/6.61  % (618670)Peak memory usage: 25 MB
% 14.78/6.61  % (618670)Instructions burned: 31 (million)
% 14.78/6.61  % (618679)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 14.78/6.61  % (618679)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3320485646:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/373Mi)
% 14.78/6.61  % (618657)Instruction limit reached! 
% 14.78/6.61  % (618657)------------------------------
% 14.78/6.61  % (618657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/6.61  % (618657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/6.61  % (618657)CaDiCaL version: 2.1.3
% 14.78/6.61  % (618657)Termination reason: Instruction limit
% 14.78/6.61  % (618657)Termination phase: shuffling
% 14.78/6.61  % (618657)Time elapsed: 0.254 s
% 14.78/6.61  % (618657)Peak memory usage: 32 MB
% 14.78/6.61  % (618657)Instructions burned: 496 (million)
% 14.78/6.61  % (618671)Instruction limit reached! 
% 14.78/6.61  % (618671)------------------------------
% 14.78/6.61  % (618671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/6.61  % (618671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/6.61  % (618671)CaDiCaL version: 2.1.3
% 14.78/6.61  % (618671)Termination reason: Instruction limit
% 14.78/6.61  % (618671)Termination phase: shuffling
% 14.78/6.61  % (618671)Time elapsed: 0.073 s
% 14.78/6.61  % (618671)Peak memory usage: 28 MB
% 14.78/6.61  % (618671)Instructions burned: 138 (million)
% 14.78/6.61  % (618681)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=225503483:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 14.78/6.61  % (618682)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=491698414:i=575:rtra=on_2985 on theBenchmark for (2985ds/575Mi)
% 14.78/6.61  % (618674)Instruction limit reached! 
% 14.78/6.61  % (618674)------------------------------
% 14.78/6.61  % (618674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/6.61  % (618674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/6.61  % (618674)CaDiCaL version: 2.1.3
% 14.78/6.61  % (618674)Termination reason: Instruction limit
% 14.78/6.61  % (618674)Termination phase: shuffling
% 14.78/6.61  % (618674)Time elapsed: 0.108 s
% 14.78/6.61  % (618674)Peak memory usage: 28 MB
% 14.78/6.61  % (618674)Instructions burned: 229 (million)
% 14.78/6.61  % (618685)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2929048757:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/270Mi)
% 14.78/6.61  % (618681)Instruction limit reached! 
% 14.78/6.61  % (618681)------------------------------
% 14.78/6.61  % (618681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/6.61  % (618681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/6.61  % (618681)CaDiCaL version: 2.1.3
% 14.78/6.61  % (618681)Termination reason: Instruction limit
% 14.78/6.61  % (618681)Termination phase: shuffling
% 14.78/6.61  % (618681)Time elapsed: 0.061 s
% 15.60/7.01  % (618681)Peak memory usage: 27 MB
% 15.60/7.01  % (618681)Instructions burned: 118 (million)
% 15.60/7.01  % (618669)Instruction limit reached! 
% 15.60/7.01  % (618669)------------------------------
% 15.60/7.01  % (618669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/7.01  % (618669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/7.01  % (618669)CaDiCaL version: 2.1.3
% 15.60/7.01  % (618669)Termination reason: Instruction limit
% 15.60/7.01  % (618669)Termination phase: shuffling
% 15.60/7.01  % (618669)Time elapsed: 0.164 s
% 15.60/7.01  % (618669)Peak memory usage: 32 MB
% 15.60/7.01  % (618669)Instructions burned: 339 (million)
% 15.60/7.01  % (618687)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2422922301:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2985 on theBenchmark for (2985ds/9840Mi)
% 15.60/7.01  % (618688)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1998068481:i=421:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/421Mi)
% 15.60/7.01  % (618672)Instruction limit reached! 
% 15.60/7.01  % (618672)------------------------------
% 15.60/7.01  % (618672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/7.01  % (618672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/7.01  % (618672)CaDiCaL version: 2.1.3
% 15.60/7.01  % (618672)Termination reason: Instruction limit
% 15.60/7.01  % (618672)Termination phase: shuffling
% 15.60/7.01  % (618672)Time elapsed: 0.211 s
% 15.60/7.01  % (618672)Peak memory usage: 32 MB
% 15.60/7.01  % (618672)Instructions burned: 342 (million)
% 15.60/7.01  % (618679)Instruction limit reached! 
% 15.60/7.01  % (618679)------------------------------
% 15.60/7.01  % (618679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/7.01  % (618679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/7.01  % (618679)CaDiCaL version: 2.1.3
% 15.60/7.01  % (618679)Termination reason: Instruction limit
% 15.60/7.01  % (618679)Termination phase: shuffling
% 15.60/7.01  % (618679)Time elapsed: 0.179 s
% 15.60/7.01  % (618679)Peak memory usage: 33 MB
% 15.60/7.01  % (618679)Instructions burned: 375 (million)
% 15.60/7.01  % (618691)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.60/7.01  % (618691)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2268602713:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/270Mi)
% 15.60/7.01  % (618692)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2130289192:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/31Mi)
% 15.60/7.01  % (618685)Instruction limit reached! 
% 15.60/7.01  % (618685)------------------------------
% 15.60/7.01  % (618685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/7.01  % (618685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/7.01  % (618685)CaDiCaL version: 2.1.3
% 15.60/7.01  % (618685)Termination reason: Instruction limit
% 15.60/7.01  % (618685)Termination phase: shuffling
% 15.60/7.01  % (618685)Time elapsed: 0.130 s
% 15.60/7.01  % (618685)Peak memory usage: 31 MB
% 15.60/7.01  % (618685)Instructions burned: 271 (million)
% 15.60/7.01  % (618692)Instruction limit reached! 
% 15.60/7.01  % (618692)------------------------------
% 15.60/7.01  % (618692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/7.01  % (618692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/7.01  % (618692)CaDiCaL version: 2.1.3
% 15.60/7.01  % (618692)Termination reason: Instruction limit
% 15.60/7.01  % (618692)Termination phase: shuffling
% 15.60/7.01  % (618692)Time elapsed: 0.026 s
% 15.60/7.01  % (618692)Peak memory usage: 26 MB
% 15.60/7.01  % (618692)Instructions burned: 33 (million)
% 15.60/7.01  % (618695)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 15.60/7.01  % (618695)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.60/7.01  % (618695)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=830034435:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2983 on theBenchmark for (2983ds/1440Mi)
% 19.33/7.24  % (618696)dis+10_2_sil=128000:si=on:random_seed=1687631322:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2983 on theBenchmark for (2983ds/339Mi)
% 19.33/7.24  % (618691)Instruction limit reached! 
% 19.33/7.24  % (618691)------------------------------
% 19.33/7.24  % (618691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.33/7.24  % (618691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.33/7.24  % (618691)CaDiCaL version: 2.1.3
% 19.33/7.24  % (618691)Termination reason: Instruction limit
% 19.33/7.24  % (618691)Termination phase: shuffling
% 19.33/7.24  % (618691)Time elapsed: 0.125 s
% 19.33/7.24  % (618691)Peak memory usage: 29 MB
% 19.33/7.24  % (618691)Instructions burned: 271 (million)
% 19.33/7.24  % (618688)Instruction limit reached! 
% 19.33/7.24  % (618688)------------------------------
% 19.33/7.24  % (618688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.33/7.24  % (618688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.33/7.24  % (618688)CaDiCaL version: 2.1.3
% 19.33/7.24  % (618688)Termination reason: Instruction limit
% 19.33/7.24  % (618688)Termination phase: shuffling
% 19.33/7.24  % (618688)Time elapsed: 0.188 s
% 19.33/7.24  % (618688)Peak memory usage: 31 MB
% 19.33/7.24  % (618688)Instructions burned: 423 (million)
% 19.33/7.24  % (618682)Instruction limit reached! 
% 19.33/7.24  % (618682)------------------------------
% 19.33/7.24  % (618682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.33/7.24  % (618682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.33/7.24  % (618682)CaDiCaL version: 2.1.3
% 19.33/7.24  % (618682)Termination reason: Instruction limit
% 19.33/7.24  % (618682)Termination phase: shuffling
% 19.33/7.24  % (618682)Time elapsed: 0.290 s
% 19.33/7.24  % (618682)Peak memory usage: 33 MB
% 19.33/7.24  % (618682)Instructions burned: 575 (million)
% 19.33/7.24  % (618699)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=755460006:i=111:add=on:fgj=on:rtra=on:fdi=1024_2982 on theBenchmark for (2982ds/111Mi)
% 19.33/7.24  % (618700)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2796872037:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/122Mi)
% 19.33/7.24  % (618703)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2486326519:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/136Mi)
% 19.33/7.24  % (618699)Instruction limit reached! 
% 19.33/7.24  % (618699)------------------------------
% 19.33/7.24  % (618699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.33/7.24  % (618699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.33/7.24  % (618699)CaDiCaL version: 2.1.3
% 19.33/7.24  % (618699)Termination reason: Instruction limit
% 19.33/7.24  % (618699)Termination phase: shuffling
% 19.33/7.24  % (618699)Time elapsed: 0.059 s
% 19.33/7.24  % (618699)Peak memory usage: 27 MB
% 19.33/7.24  % (618699)Instructions burned: 112 (million)
% 19.33/7.24  % (618696)Instruction limit reached! 
% 19.33/7.24  % (618696)------------------------------
% 19.33/7.24  % (618696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.33/7.24  % (618696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.33/7.24  % (618696)CaDiCaL version: 2.1.3
% 19.33/7.24  % (618696)Termination reason: Instruction limit
% 19.33/7.24  % (618696)Termination phase: shuffling
% 19.33/7.24  % (618696)Time elapsed: 0.154 s
% 19.33/7.24  % (618696)Peak memory usage: 30 MB
% 19.33/7.24  % (618696)Instructions burned: 340 (million)
% 19.33/7.24  % (618700)Instruction limit reached! 
% 19.33/7.24  % (618700)------------------------------
% 19.33/7.24  % (618700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.33/7.24  % (618700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.33/7.24  % (618700)CaDiCaL version: 2.1.3
% 19.33/7.24  % (618700)Termination reason: Instruction limit
% 19.33/7.24  % (618700)Termination phase: shuffling
% 19.33/7.24  % (618700)Time elapsed: 0.064 s
% 19.33/7.24  % (618700)Peak memory usage: 27 MB
% 19.33/7.24  % (618700)Instructions burned: 124 (million)
% 19.33/7.24  % (618705)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=613514297:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/232Mi)
% 19.87/7.37  % (618707)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 19.87/7.37  % (618706)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3745451743:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2982 on theBenchmark for (2982ds/1254Mi)
% 19.87/7.37  % (618707)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3207005037:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2982 on theBenchmark for (2982ds/281Mi)
% 19.87/7.37  % (618703)Instruction limit reached! 
% 19.87/7.37  % (618703)------------------------------
% 19.87/7.37  % (618703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.87/7.37  % (618703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/7.37  % (618703)CaDiCaL version: 2.1.3
% 19.87/7.37  % (618703)Termination reason: Instruction limit
% 19.87/7.37  % (618703)Termination phase: shuffling
% 19.87/7.37  % (618703)Time elapsed: 0.068 s
% 19.87/7.37  % (618703)Peak memory usage: 27 MB
% 19.87/7.37  % (618703)Instructions burned: 139 (million)
% 19.87/7.37  % (618711)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3790110952:i=619:add=on:rtra=on_2981 on theBenchmark for (2981ds/619Mi)
% 19.87/7.37  % (618705)Instruction limit reached! 
% 19.87/7.37  % (618705)------------------------------
% 19.87/7.37  % (618705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.87/7.37  % (618705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/7.37  % (618705)CaDiCaL version: 2.1.3
% 19.87/7.37  % (618705)Termination reason: Instruction limit
% 19.87/7.37  % (618705)Termination phase: shuffling
% 19.87/7.37  % (618705)Time elapsed: 0.129 s
% 19.87/7.37  % (618705)Peak memory usage: 28 MB
% 19.87/7.37  % (618705)Instructions burned: 233 (million)
% 19.87/7.37  % (618707)Instruction limit reached! 
% 19.87/7.37  % (618707)------------------------------
% 19.87/7.37  % (618707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.87/7.37  % (618707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/7.37  % (618707)CaDiCaL version: 2.1.3
% 19.87/7.37  % (618707)Termination reason: Instruction limit
% 19.87/7.37  % (618707)Termination phase: shuffling
% 19.87/7.37  % (618707)Time elapsed: 0.138 s
% 19.87/7.37  % (618707)Peak memory usage: 32 MB
% 19.87/7.37  % (618707)Instructions burned: 283 (million)
% 19.87/7.37  % (618713)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1767822724:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/865Mi)
% 19.87/7.37  % (618714)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1373390884:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/212Mi)
% 19.87/7.37  % (618714)Instruction limit reached! 
% 19.87/7.37  % (618714)------------------------------
% 19.87/7.37  % (618714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.87/7.37  % (618714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/7.37  % (618714)CaDiCaL version: 2.1.3
% 19.87/7.37  % (618714)Termination reason: Instruction limit
% 19.87/7.37  % (618714)Termination phase: shuffling
% 19.87/7.37  % (618714)Time elapsed: 0.103 s
% 19.87/7.37  % (618714)Peak memory usage: 29 MB
% 19.87/7.37  % (618714)Instructions burned: 214 (million)
% 19.87/7.37  % (618717)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1819349787:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/130Mi)
% 19.87/7.37  % (618711)Instruction limit reached! 
% 19.87/7.37  % (618711)------------------------------
% 19.87/7.37  % (618711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.87/7.37  % (618711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/7.37  % (618711)CaDiCaL version: 2.1.3
% 19.87/7.37  % (618711)Termination reason: Instruction limit
% 19.87/7.37  % (618711)Termination phase: shuffling
% 19.87/7.37  % (618711)Time elapsed: 0.321 s
% 19.87/7.37  % (618711)Peak memory usage: 37 MB
% 19.87/7.37  % (618711)Instructions burned: 621 (million)
% 19.87/7.37  % (618720)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2969521238:st=1.5:i=346:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/346Mi)
% 22.03/7.76  % (618717)Instruction limit reached! 
% 22.03/7.76  % (618717)------------------------------
% 22.03/7.76  % (618717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.03/7.76  % (618717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.03/7.76  % (618717)CaDiCaL version: 2.1.3
% 22.03/7.76  % (618717)Termination reason: Instruction limit
% 22.03/7.76  % (618717)Termination phase: shuffling
% 22.03/7.76  % (618717)Time elapsed: 0.117 s
% 22.03/7.76  % (618717)Peak memory usage: 27 MB
% 22.03/7.76  % (618717)Instructions burned: 130 (million)
% 22.03/7.76  % (618695)Instruction limit reached! 
% 22.03/7.76  % (618695)------------------------------
% 22.03/7.76  % (618695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.03/7.76  % (618695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.03/7.76  % (618695)CaDiCaL version: 2.1.3
% 22.03/7.76  % (618695)Termination reason: Instruction limit
% 22.03/7.76  % (618695)Termination phase: Property scanning
% 22.03/7.76  % (618695)Time elapsed: 0.614 s
% 22.03/7.76  % (618695)Peak memory usage: 37 MB
% 22.03/7.76  % (618695)Instructions burned: 1440 (million)
% 22.03/7.76  % (618723)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4000833698:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2977 on theBenchmark for (2977ds/152Mi)
% 22.03/7.76  % (618724)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2420234700:i=75:ep=R:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/75Mi)
% 22.03/7.76  % (618724)Instruction limit reached! 
% 22.03/7.76  % (618724)------------------------------
% 22.03/7.76  % (618724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.03/7.76  % (618724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.03/7.76  % (618724)CaDiCaL version: 2.1.3
% 22.03/7.76  % (618724)Termination reason: Instruction limit
% 22.03/7.76  % (618724)Termination phase: shuffling
% 22.03/7.76  % (618724)Time elapsed: 0.045 s
% 22.03/7.76  % (618724)Peak memory usage: 27 MB
% 22.03/7.76  % (618724)Instructions burned: 77 (million)
% 22.03/7.76  % (618723)Instruction limit reached! 
% 22.03/7.76  % (618723)------------------------------
% 22.03/7.76  % (618723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.03/7.76  % (618723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.03/7.76  % (618723)CaDiCaL version: 2.1.3
% 22.03/7.76  % (618723)Termination reason: Instruction limit
% 22.03/7.76  % (618723)Termination phase: shuffling
% 22.03/7.76  % (618723)Time elapsed: 0.076 s
% 22.03/7.76  % (618723)Peak memory usage: 27 MB
% 22.03/7.76  % (618723)Instructions burned: 153 (million)
% 22.03/7.76  % (618727)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1668965185:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/387Mi)
% 22.03/7.76  % (618728)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=72210256:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2976 on theBenchmark for (2976ds/148Mi)
% 22.03/7.76  % (618706)Instruction limit reached! 
% 22.03/7.76  % (618706)------------------------------
% 22.03/7.76  % (618706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.03/7.76  % (618706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.03/7.76  % (618706)CaDiCaL version: 2.1.3
% 22.03/7.76  % (618706)Termination reason: Instruction limit
% 22.03/7.76  % (618706)Termination phase: shuffling
% 22.03/7.76  % (618706)Time elapsed: 0.576 s
% 22.03/7.76  % (618706)Peak memory usage: 50 MB
% 22.03/7.76  % (618706)Instructions burned: 1255 (million)
% 22.03/7.76  % (618731)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4049983474:i=161:piset=and:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/161Mi)
% 22.03/7.76  % (618720)Instruction limit reached! 
% 22.03/7.76  % (618720)------------------------------
% 22.03/7.76  % (618720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.03/7.76  % (618720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.03/7.76  % (618720)CaDiCaL version: 2.1.3
% 22.03/7.76  % (618720)Termination reason: Instruction limit
% 22.03/7.76  % (618720)Termination phase: shuffling
% 22.03/7.76  % (618720)Time elapsed: 0.206 s
% 22.03/7.76  % (618720)Peak memory usage: 33 MB
% 22.03/7.76  % (618720)Instructions burned: 347 (million)
% 22.03/7.76  % (618733)lrs+10_1_sil=128000:si=on:random_seed=690910288:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/888Mi)
% 23.14/7.89  % (618728)Instruction limit reached! 
% 23.14/7.89  % (618728)------------------------------
% 23.14/7.89  % (618728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.14/7.89  % (618728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.14/7.89  % (618728)CaDiCaL version: 2.1.3
% 23.14/7.89  % (618728)Termination reason: Instruction limit
% 23.14/7.89  % (618728)Termination phase: shuffling
% 23.14/7.89  % (618728)Time elapsed: 0.103 s
% 23.14/7.89  % (618728)Peak memory usage: 28 MB
% 23.14/7.89  % (618728)Instructions burned: 148 (million)
% 23.14/7.89  % (618735)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1971255977:i=136:add=on:ins=4:rtra=on:sup=off_2975 on theBenchmark for (2975ds/136Mi)
% 23.14/7.89  % (618713)Instruction limit reached! 
% 23.14/7.89  % (618713)------------------------------
% 23.14/7.89  % (618713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.14/7.89  % (618713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.14/7.89  % (618713)CaDiCaL version: 2.1.3
% 23.14/7.89  % (618713)Termination reason: Instruction limit
% 23.14/7.89  % (618713)Termination phase: shuffling
% 23.14/7.89  % (618713)Time elapsed: 0.530 s
% 23.14/7.89  % (618713)Peak memory usage: 45 MB
% 23.14/7.89  % (618713)Instructions burned: 865 (million)
% 23.14/7.89  % (618731)Instruction limit reached! 
% 23.14/7.89  % (618731)------------------------------
% 23.14/7.89  % (618731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.14/7.89  % (618731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.14/7.89  % (618731)CaDiCaL version: 2.1.3
% 23.14/7.89  % (618731)Termination reason: Instruction limit
% 23.14/7.89  % (618731)Termination phase: shuffling
% 23.14/7.89  % (618731)Time elapsed: 0.082 s
% 23.14/7.89  % (618731)Peak memory usage: 28 MB
% 23.14/7.89  % (618731)Instructions burned: 162 (million)
% 23.14/7.89  % (618737)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=816647785:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 23.14/7.89  % (618738)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1683497232:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/93Mi)
% 23.14/7.89  % (618727)Instruction limit reached! 
% 23.14/7.89  % (618727)------------------------------
% 23.14/7.89  % (618727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.14/7.89  % (618727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.14/7.89  % (618727)CaDiCaL version: 2.1.3
% 23.14/7.89  % (618727)Termination reason: Instruction limit
% 23.14/7.89  % (618727)Termination phase: shuffling
% 23.14/7.89  % (618727)Time elapsed: 0.186 s
% 23.14/7.89  % (618727)Peak memory usage: 33 MB
% 23.14/7.89  % (618727)Instructions burned: 388 (million)
% 23.14/7.89  % (618741)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2311173138:i=2186:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/2186Mi)
% 23.14/7.89  % (618735)Instruction limit reached! 
% 23.14/7.89  % (618735)------------------------------
% 23.14/7.89  % (618735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.14/7.89  % (618735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.14/7.89  % (618735)CaDiCaL version: 2.1.3
% 23.14/7.89  % (618735)Termination reason: Instruction limit
% 23.14/7.89  % (618735)Termination phase: shuffling
% 23.14/7.89  % (618735)Time elapsed: 0.070 s
% 23.14/7.89  % (618735)Peak memory usage: 27 MB
% 23.14/7.89  % (618735)Instructions burned: 138 (million)
% 23.14/7.89  % (618737)Instruction limit reached! 
% 23.14/7.89  % (618737)------------------------------
% 23.14/7.89  % (618737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.14/7.89  % (618737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.14/7.89  % (618737)CaDiCaL version: 2.1.3
% 23.14/7.89  % (618737)Termination reason: Instruction limit
% 23.14/7.89  % (618737)Termination phase: shuffling
% 23.14/7.89  % (618737)Time elapsed: 0.050 s
% 23.14/7.89  % (618737)Peak memory usage: 27 MB
% 23.14/7.89  % (618737)Instructions burned: 88 (million)
% 23.14/7.89  % (618743)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=780502226:s2a=on:i=240:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/240Mi)
% 25.46/8.11  % (618738)Instruction limit reached! 
% 25.46/8.11  % (618738)------------------------------
% 25.46/8.11  % (618738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.46/8.11  % (618738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.46/8.11  % (618738)CaDiCaL version: 2.1.3
% 25.46/8.11  % (618738)Termination reason: Instruction limit
% 25.46/8.11  % (618738)Termination phase: shuffling
% 25.46/8.11  % (618738)Time elapsed: 0.071 s
% 25.46/8.11  % (618738)Peak memory usage: 27 MB
% 25.46/8.11  % (618738)Instructions burned: 94 (million)
% 25.46/8.11  % (618744)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=193801982:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/805Mi)
% 25.46/8.11  % (618747)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 25.46/8.11  % (618747)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2642657582:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2974 on theBenchmark for (2974ds/391Mi)
% 25.46/8.11  % (618743)Instruction limit reached! 
% 25.46/8.11  % (618743)------------------------------
% 25.46/8.11  % (618743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.46/8.11  % (618743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.46/8.11  % (618743)CaDiCaL version: 2.1.3
% 25.46/8.11  % (618743)Termination reason: Instruction limit
% 25.46/8.11  % (618743)Termination phase: shuffling
% 25.46/8.11  % (618743)Time elapsed: 0.176 s
% 25.46/8.11  % (618743)Peak memory usage: 28 MB
% 25.46/8.11  % (618743)Instructions burned: 240 (million)
% 25.46/8.11  % (618749)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=499832674:i=355:av=off:fsr=off:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/355Mi)
% 25.46/8.11  % (618747)Instruction limit reached! 
% 25.46/8.11  % (618747)------------------------------
% 25.46/8.11  % (618747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.46/8.11  % (618747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.46/8.11  % (618747)CaDiCaL version: 2.1.3
% 25.46/8.11  % (618747)Termination reason: Instruction limit
% 25.46/8.11  % (618747)Termination phase: shuffling
% 25.46/8.11  % (618747)Time elapsed: 0.199 s
% 25.46/8.11  % (618747)Peak memory usage: 33 MB
% 25.46/8.11  % (618747)Instructions burned: 392 (million)
% 25.46/8.11  % (618733)Instruction limit reached! 
% 25.46/8.11  % (618733)------------------------------
% 25.46/8.11  % (618733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.46/8.11  % (618733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.46/8.11  % (618733)CaDiCaL version: 2.1.3
% 25.46/8.11  % (618733)Termination reason: Instruction limit
% 25.46/8.11  % (618733)Termination phase: shuffling
% 25.46/8.11  % (618733)Time elapsed: 0.388 s
% 25.46/8.11  % (618733)Peak memory usage: 37 MB
% 25.46/8.11  % (618733)Instructions burned: 891 (million)
% 25.46/8.11  % (618751)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4130890482:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/314Mi)
% 25.46/8.11  % (618752)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3125548456:s2a=on:i=251:fsr=off:rtra=on_2971 on theBenchmark for (2971ds/251Mi)
% 25.46/8.11  % (618744)Instruction limit reached! 
% 25.46/8.11  % (618744)------------------------------
% 25.46/8.11  % (618744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.46/8.11  % (618744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.46/8.11  % (618744)CaDiCaL version: 2.1.3
% 25.46/8.11  % (618744)Termination reason: Instruction limit
% 25.46/8.11  % (618744)Termination phase: shuffling
% 25.46/8.11  % (618744)Time elapsed: 0.350 s
% 25.46/8.11  % (618744)Peak memory usage: 36 MB
% 25.46/8.11  % (618744)Instructions burned: 807 (million)
% 25.46/8.11  % (618755)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2886236955:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2970 on theBenchmark for (2970ds/2470Mi)
% 25.46/8.11  % (618749)Instruction limit reached! 
% 25.46/8.11  % (618749)------------------------------
% 26.73/8.33  % (618749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.73/8.33  % (618749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/8.33  % (618749)CaDiCaL version: 2.1.3
% 26.73/8.33  % (618749)Termination reason: Instruction limit
% 26.73/8.33  % (618749)Termination phase: shuffling
% 26.73/8.33  % (618749)Time elapsed: 0.189 s
% 26.73/8.33  % (618749)Peak memory usage: 30 MB
% 26.73/8.33  % (618749)Instructions burned: 356 (million)
% 26.73/8.33  % (618752)Instruction limit reached! 
% 26.73/8.33  % (618752)------------------------------
% 26.73/8.33  % (618752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.73/8.33  % (618752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/8.33  % (618752)CaDiCaL version: 2.1.3
% 26.73/8.33  % (618752)Termination reason: Instruction limit
% 26.73/8.33  % (618752)Termination phase: shuffling
% 26.73/8.33  % (618752)Time elapsed: 0.117 s
% 26.73/8.33  % (618752)Peak memory usage: 29 MB
% 26.73/8.33  % (618752)Instructions burned: 251 (million)
% 26.73/8.33  % (618757)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=81073426:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2970 on theBenchmark for (2970ds/673Mi)
% 26.73/8.33  % (618751)Instruction limit reached! 
% 26.73/8.33  % (618751)------------------------------
% 26.73/8.33  % (618751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.73/8.33  % (618751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/8.33  % (618751)CaDiCaL version: 2.1.3
% 26.73/8.33  % (618751)Termination reason: Instruction limit
% 26.73/8.33  % (618751)Termination phase: shuffling
% 26.73/8.33  % (618751)Time elapsed: 0.145 s
% 26.73/8.33  % (618751)Peak memory usage: 30 MB
% 26.73/8.33  % (618751)Instructions burned: 316 (million)
% 26.73/8.33  % (618758)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=9993909:i=116:ep=RSTC:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/116Mi)
% 26.73/8.33  % (618761)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=999502660:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2970 on theBenchmark for (2970ds/270Mi)
% 26.73/8.33  % (618655)Instruction limit reached! 
% 26.73/8.33  % (618655)------------------------------
% 26.73/8.33  % (618655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.73/8.33  % (618655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/8.33  % (618655)CaDiCaL version: 2.1.3
% 26.73/8.33  % (618655)Termination reason: Instruction limit
% 26.73/8.33  % (618655)Termination phase: Saturation
% 26.73/8.33  % (618655)Time elapsed: 1.904 s
% 26.73/8.33  % (618655)Peak memory usage: 62 MB
% 26.73/8.33  % (618655)Instructions burned: 5756 (million)
% 26.73/8.33  % (618758)Instruction limit reached! 
% 26.73/8.33  % (618758)------------------------------
% 26.73/8.33  % (618758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.73/8.33  % (618758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/8.33  % (618758)CaDiCaL version: 2.1.3
% 26.73/8.33  % (618758)Termination reason: Instruction limit
% 26.73/8.33  % (618758)Termination phase: shuffling
% 26.73/8.33  % (618758)Time elapsed: 0.062 s
% 26.73/8.33  % (618758)Peak memory usage: 27 MB
% 26.73/8.33  % (618758)Instructions burned: 120 (million)
% 26.73/8.33  % (618763)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=420848690:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2969 on theBenchmark for (2969ds/30Mi)
% 26.73/8.33  % (618764)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 26.73/8.33  % (618764)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3124076485:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2969 on theBenchmark for (2969ds/39Mi)
% 26.73/8.33  % (618763)Instruction limit reached! 
% 26.73/8.33  % (618763)------------------------------
% 26.73/8.33  % (618763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.73/8.33  % (618763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/8.33  % (618763)CaDiCaL version: 2.1.3
% 26.73/8.33  % (618763)Termination reason: Instruction limit
% 27.90/8.57  % (618763)Termination phase: Property scanning
% 27.90/8.57  % (618763)Time elapsed: 0.023 s
% 27.90/8.57  % (618763)Peak memory usage: 25 MB
% 27.90/8.57  % (618763)Instructions burned: 30 (million)
% 27.90/8.57  % (618764)Instruction limit reached! 
% 27.90/8.57  % (618764)------------------------------
% 27.90/8.57  % (618764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/8.57  % (618764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/8.57  % (618764)CaDiCaL version: 2.1.3
% 27.90/8.57  % (618764)Termination reason: Instruction limit
% 27.90/8.57  % (618764)Termination phase: shuffling
% 27.90/8.57  % (618764)Time elapsed: 0.029 s
% 27.90/8.57  % (618764)Peak memory usage: 26 MB
% 27.90/8.57  % (618764)Instructions burned: 40 (million)
% 27.90/8.57  % (618767)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4155715698:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/365Mi)
% 27.90/8.57  % (618768)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4290407607:i=158:av=off:rtra=on_2968 on theBenchmark for (2968ds/158Mi)
% 27.90/8.57  % (618761)Instruction limit reached! 
% 27.90/8.57  % (618761)------------------------------
% 27.90/8.57  % (618761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/8.57  % (618761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/8.57  % (618761)CaDiCaL version: 2.1.3
% 27.90/8.57  % (618761)Termination reason: Instruction limit
% 27.90/8.57  % (618761)Termination phase: shuffling
% 27.90/8.57  % (618761)Time elapsed: 0.133 s
% 27.90/8.57  % (618761)Peak memory usage: 32 MB
% 27.90/8.57  % (618761)Instructions burned: 272 (million)
% 27.90/8.57  % (618771)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 27.90/8.57  % (618771)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2618665760:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/252Mi)
% 27.90/8.57  % (618768)Instruction limit reached! 
% 27.90/8.57  % (618768)------------------------------
% 27.90/8.57  % (618768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/8.57  % (618768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/8.57  % (618768)CaDiCaL version: 2.1.3
% 27.90/8.57  % (618768)Termination reason: Instruction limit
% 27.90/8.57  % (618768)Termination phase: shuffling
% 27.90/8.57  % (618768)Time elapsed: 0.079 s
% 27.90/8.57  % (618768)Peak memory usage: 28 MB
% 27.90/8.57  % (618768)Instructions burned: 159 (million)
% 27.90/8.57  % (618773)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3175619577:i=213:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/213Mi)
% 27.90/8.57  % (618767)Instruction limit reached! 
% 27.90/8.57  % (618767)------------------------------
% 27.90/8.57  % (618767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/8.57  % (618767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/8.57  % (618767)CaDiCaL version: 2.1.3
% 27.90/8.57  % (618767)Termination reason: Instruction limit
% 27.90/8.57  % (618767)Termination phase: shuffling
% 27.90/8.57  % (618767)Time elapsed: 0.162 s
% 27.90/8.57  % (618767)Peak memory usage: 30 MB
% 27.90/8.57  % (618767)Instructions burned: 365 (million)
% 27.90/8.57  % (618771)Instruction limit reached! 
% 27.90/8.57  % (618771)------------------------------
% 27.90/8.57  % (618771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/8.57  % (618771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/8.57  % (618771)CaDiCaL version: 2.1.3
% 27.90/8.57  % (618771)Termination reason: Instruction limit
% 27.90/8.57  % (618771)Termination phase: shuffling
% 27.90/8.57  % (618771)Time elapsed: 0.116 s
% 27.90/8.57  % (618771)Peak memory usage: 29 MB
% 27.90/8.57  % (618771)Instructions burned: 253 (million)
% 27.90/8.57  % (618775)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3133527351:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/160Mi)
% 27.90/8.57  % (618776)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=894751636:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/763Mi)
% 27.90/8.57  % (618757)Instruction limit reached! 
% 28.88/8.61  % (618757)------------------------------
% 28.88/8.61  % (618757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618757)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618757)Termination reason: Instruction limit
% 28.88/8.61  % (618757)Termination phase: shuffling
% 28.88/8.61  % (618757)Time elapsed: 0.331 s
% 28.88/8.61  % (618757)Peak memory usage: 35 MB
% 28.88/8.61  % (618757)Instructions burned: 675 (million)
% 28.88/8.61  % (618773)Instruction limit reached! 
% 28.88/8.61  % (618773)------------------------------
% 28.88/8.61  % (618773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618773)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618773)Termination reason: Instruction limit
% 28.88/8.61  % (618773)Termination phase: shuffling
% 28.88/8.61  % (618773)Time elapsed: 0.101 s
% 28.88/8.61  % (618773)Peak memory usage: 28 MB
% 28.88/8.61  % (618773)Instructions burned: 213 (million)
% 28.88/8.61  % (618779)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 28.88/8.61  % (618779)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=37142861:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2966 on theBenchmark for (2966ds/237Mi)
% 28.88/8.61  % (618780)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=686762447:s2a=on:i=386:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/386Mi)
% 28.88/8.61  % (618775)Instruction limit reached! 
% 28.88/8.61  % (618775)------------------------------
% 28.88/8.61  % (618775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618775)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618775)Termination reason: Instruction limit
% 28.88/8.61  % (618775)Termination phase: shuffling
% 28.88/8.61  % (618775)Time elapsed: 0.105 s
% 28.88/8.61  % (618775)Peak memory usage: 28 MB
% 28.88/8.61  % (618775)Instructions burned: 160 (million)
% 28.88/8.61  % (618783)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3719783141:i=300:piset=and:nm=32:rtra=on_2965 on theBenchmark for (2965ds/300Mi)
% 28.88/8.61  % (618779)Instruction limit reached! 
% 28.88/8.61  % (618779)------------------------------
% 28.88/8.61  % (618779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618779)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618779)Termination reason: Instruction limit
% 28.88/8.61  % (618779)Termination phase: shuffling
% 28.88/8.61  % (618779)Time elapsed: 0.115 s
% 28.88/8.61  % (618779)Peak memory usage: 29 MB
% 28.88/8.61  % (618779)Instructions burned: 238 (million)
% 28.88/8.61  % (618785)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1747157039:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/567Mi)
% 28.88/8.61  % (618741)Instruction limit reached! 
% 28.88/8.61  % (618741)------------------------------
% 28.88/8.61  % (618741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618741)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618741)Termination reason: Instruction limit
% 28.88/8.61  % (618741)Termination phase: Property scanning
% 28.88/8.61  % (618741)Time elapsed: 0.960 s
% 28.88/8.61  % (618741)Peak memory usage: 52 MB
% 28.88/8.61  % (618741)Instructions burned: 2187 (million)
% 28.88/8.61  % (618787)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1384839150:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2964 on theBenchmark for (2964ds/379Mi)
% 28.88/8.61  % (618780)Instruction limit reached! 
% 28.88/8.61  % (618780)------------------------------
% 28.88/8.61  % (618780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618780)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618780)Termination reason: Instruction limit
% 28.88/8.61  % (618780)Termination phase: shuffling
% 28.88/8.61  % (618780)Time elapsed: 0.184 s
% 28.88/8.61  % (618780)Peak memory usage: 33 MB
% 28.88/8.61  % (618780)Instructions burned: 386 (million)
% 28.88/8.61  % (618789)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1902665441:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2964 on theBenchmark for (2964ds/429Mi)
% 28.88/8.61  % (618783)Instruction limit reached! 
% 28.88/8.61  % (618783)------------------------------
% 28.88/8.61  % (618783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618783)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618783)Termination reason: Instruction limit
% 28.88/8.61  % (618783)Termination phase: shuffling
% 28.88/8.61  % (618783)Time elapsed: 0.142 s
% 28.88/8.61  % (618783)Peak memory usage: 30 MB
% 28.88/8.61  % (618783)Instructions burned: 300 (million)
% 28.88/8.61  % (618791)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1307826555:i=478:bd=all:rtra=on_2964 on theBenchmark for (2964ds/478Mi)
% 28.88/8.61  % (618776)Instruction limit reached! 
% 28.88/8.61  % (618776)------------------------------
% 28.88/8.61  % (618776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618776)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618776)Termination reason: Instruction limit
% 28.88/8.61  % (618776)Termination phase: shuffling
% 28.88/8.61  % (618776)Time elapsed: 0.323 s
% 28.88/8.61  % (618776)Peak memory usage: 35 MB
% 28.88/8.61  % (618776)Instructions burned: 765 (million)
% 28.88/8.61  % (618793)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=877100360:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2963 on theBenchmark for (2963ds/445Mi)
% 28.88/8.61  % (618787)Instruction limit reached! 
% 28.88/8.61  % (618787)------------------------------
% 28.88/8.61  % (618787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618787)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618787)Termination reason: Instruction limit
% 28.88/8.61  % (618787)Termination phase: shuffling
% 28.88/8.61  % (618787)Time elapsed: 0.172 s
% 28.88/8.61  % (618787)Peak memory usage: 31 MB
% 28.88/8.61  % (618787)Instructions burned: 381 (million)
% 28.88/8.61  % (618795)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1727328326:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2963 on theBenchmark for (2963ds/71Mi)
% 28.88/8.61  % (618785)Instruction limit reached! 
% 28.88/8.61  % (618785)------------------------------
% 28.88/8.61  % (618785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618785)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618785)Termination reason: Instruction limit
% 28.88/8.61  % (618785)Termination phase: shuffling
% 28.88/8.61  % (618785)Time elapsed: 0.267 s
% 28.88/8.61  % (618785)Peak memory usage: 37 MB
% 28.88/8.61  % (618785)Instructions burned: 568 (million)
% 28.88/8.61  % (618789)Instruction limit reached! 
% 28.88/8.61  % (618789)------------------------------
% 28.88/8.61  % (618789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618789)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618789)Termination reason: Instruction limit
% 28.88/8.61  % (618789)Termination phase: shuffling
% 28.88/8.61  % (618789)Time elapsed: 0.190 s
% 28.88/8.61  % (618789)Peak memory usage: 31 MB
% 28.88/8.61  % (618789)Instructions burned: 430 (million)
% 28.88/8.61  % (618797)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1047436602:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/302Mi)
% 28.88/8.61  % (618798)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=266163444:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2962 on theBenchmark for (2962ds/4980Mi)
% 28.88/8.61  % (618795)Instruction limit reached! 
% 28.88/8.61  % (618795)------------------------------
% 28.88/8.61  % (618795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618795)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618795)Termination reason: Instruction limit
% 28.88/8.61  % (618795)Termination phase: shuffling
% 28.88/8.61  % (618795)Time elapsed: 0.043 s
% 28.88/8.61  % (618795)Peak memory usage: 27 MB
% 28.88/8.61  % (618795)Instructions burned: 72 (million)
% 28.88/8.61  % (618687) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-618516-618687"...
% 28.88/8.61  % (618801)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.88/8.61  % (618801)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 28.88/8.61  % (618801)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2317531123:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2962 on theBenchmark for (2962ds/100Mi)
% 28.88/8.61  % (618687)...printing done.
% 28.88/8.61  % (618791)Instruction limit reached! 
% 28.88/8.61  % (618791)------------------------------
% 28.88/8.61  % (618791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.61  % (618791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.61  % (618791)CaDiCaL version: 2.1.3
% 28.88/8.61  % (618791)Termination reason: Instruction limit
% 28.88/8.61  % (618791)Termination phase: shuffling
% 28.88/8.61  % (618791)Time elapsed: 0.213 s
% 28.88/8.61  % (618791)Peak memory usage: 32 MB
% 28.88/8.61  % (618791)Instructions burned: 479 (million)
% 28.88/8.61  % (618687)Refutation found. Thanks to Tanya!
% 28.88/8.61  % SZS status Theorem for theBenchmark
% 28.88/8.61  % SZS output start Proof for theBenchmark
% See solution above
% 28.88/8.64  % (618687)------------------------------
% 28.88/8.64  % (618687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/8.64  % (618687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/8.64  % (618687)CaDiCaL version: 2.1.3
% 28.88/8.64  % (618687)Termination reason: Refutation
% 28.88/8.64  % (618687)Time elapsed: 2.277 s
% 28.88/8.64  % (618687)Peak memory usage: 74 MB
% 28.88/8.64  % (618687)Instructions burned: 7365 (million)
% 28.88/8.64  % (618516)Success in time 3.816 s
% 28.88/8.64  % Vampire exiting
%------------------------------------------------------------------------------