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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP271^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:09:42 AM UTC 2026

% Result   : Theorem 78.12s 16.06s
% Output   : Refutation 78.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   92 (  92 unt;   0 typ;   0 def)
%            Number of atoms       :  254 ( 168 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives : 13306 (  16   ~;   0   |;   0   &;13282   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   2 avg)
%            Number of types       :   93 (  92 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  982 ( 978 usr;  66 con; 0-8 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   51 (  25   ^;  26   !;   0   ?;  51   :)

% 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,
    set_Pr8693737435421807431at_nat: $tType ).

thf(type_def_15,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_16,type,
    set_fi4554929511873752355omplex: $tType ).

thf(type_def_17,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_18,type,
    produc3447558737645232053on_num: $tType ).

thf(type_def_19,type,
    produc4953844613479565601on_nat: $tType ).

thf(type_def_20,type,
    produc2963631642982155120at_num: $tType ).

thf(type_def_21,type,
    produc7248412053542808358at_nat: $tType ).

thf(type_def_22,type,
    set_fi7789364187291644575l_real: $tType ).

thf(type_def_23,type,
    filter6041513312241820739omplex: $tType ).

thf(type_def_24,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_25,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_26,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(type_def_27,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_28,type,
    set_Pr5085853215250843933omplex: $tType ).

thf(type_def_29,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_30,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_31,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_32,type,
    filter2146258269922977983l_real: $tType ).

thf(type_def_33,type,
    option4927543243414619207at_nat: $tType ).

thf(type_def_34,type,
    filter1242075044329608583at_nat: $tType ).

thf(type_def_35,type,
    set_Pr6218003697084177305l_real: $tType ).

thf(type_def_36,type,
    list_P3744719386663036955um_num: $tType ).

thf(type_def_37,type,
    list_P1726324292696863441at_num: $tType ).

thf(type_def_38,type,
    list_P6011104703257516679at_nat: $tType ).

thf(type_def_39,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_40,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_41,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_42,type,
    produc4411394909380815293omplex: $tType ).

thf(type_def_43,type,
    list_P7333126701944960589_nat_o: $tType ).

thf(type_def_44,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(type_def_45,type,
    list_P3795440434834930179_o_int: $tType ).

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

thf(type_def_47,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_48,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(type_def_49,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_50,type,
    produc2422161461964618553l_real: $tType ).

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

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

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

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

thf(type_def_55,type,
    list_P4002435161011370285od_o_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_92,type,
    real: $tType ).

thf(type_def_93,type,
    rat: $tType ).

thf(type_def_94,type,
    num: $tType ).

thf(type_def_95,type,
    nat: $tType ).

thf(type_def_96,type,
    int: $tType ).

thf(type_def_97,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,
    archimedean_frac_rat: rat > rat ).

thf(func_def_5,type,
    archim2898591450579166408c_real: real > real ).

thf(func_def_6,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(func_def_7,type,
    archim8280529875227126926d_real: real > int ).

thf(func_def_8,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_9,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

thf(func_def_10,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_11,type,
    binomial: nat > nat > nat ).

thf(func_def_12,type,
    gbinomial_complex: complex > nat > complex ).

thf(func_def_13,type,
    gbinomial_int: int > nat > int ).

thf(func_def_14,type,
    gbinomial_nat: nat > nat > nat ).

thf(func_def_15,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_16,type,
    gbinomial_real: real > nat > real ).

thf(func_def_17,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_18,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_19,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_20,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_21,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_22,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_23,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_24,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_25,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_26,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_27,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_28,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_29,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_30,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_31,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_32,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_33,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_34,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_35,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_36,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_37,type,
    bit_se1080825931792720795nteger: code_integer > code_integer > code_integer ).

thf(func_def_38,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_39,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_40,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_41,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_42,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_43,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_44,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_45,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_46,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_47,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_48,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_49,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_50,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_51,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_52,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_53,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_54,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_55,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_56,type,
    bit_un1837492267222099188nd_num: num > num > option_num ).

thf(func_def_57,type,
    bit_un5425074673868309765um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_58,type,
    bit_un6178654185764691216or_num: num > num > option_num ).

thf(func_def_59,type,
    bit_un3595099601533988841um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_60,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_61,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_62,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_63,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_64,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_65,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_66,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_67,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_68,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_69,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_70,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_71,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_72,type,
    code_Target_negative: num > int ).

thf(func_def_73,type,
    code_Target_positive: num > int ).

thf(func_def_74,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

thf(func_def_75,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

thf(func_def_76,type,
    comple4887499456419720421f_real: set_real > real ).

thf(func_def_77,type,
    comple1385675409528146559p_real: set_real > real ).

thf(func_def_78,type,
    arg: complex > real ).

thf(func_def_79,type,
    cis: real > complex ).

thf(func_def_80,type,
    cnj: complex > complex ).

thf(func_def_81,type,
    complex2: real > real > complex ).

thf(func_def_82,type,
    im: complex > real ).

thf(func_def_83,type,
    re: complex > real ).

thf(func_def_84,type,
    csqrt: complex > complex ).

thf(func_def_85,type,
    imaginary_unit: complex ).

thf(func_def_86,type,
    rcis: real > real > complex ).

thf(func_def_87,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(func_def_88,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(func_def_89,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_90,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_91,type,
    adjust_mod: int > int > int ).

thf(func_def_92,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_93,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_94,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_95,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_96,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_97,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_98,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_99,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_100,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_101,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_102,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_103,type,
    euclid4774559944035922753ze_int: int > nat ).

thf(func_def_104,type,
    euclid4777050414544973029ze_nat: nat > nat ).

thf(func_def_105,type,
    euclid3395696857347342551nt_int: int > int ).

thf(func_def_106,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_107,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(func_def_108,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_109,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_110,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_111,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(func_def_112,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_113,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_114,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_115,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_116,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_117,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_118,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_119,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_120,type,
    inverse_inverse_real: real > real ).

thf(func_def_121,type,
    at_bot_real: filter_real ).

thf(func_def_122,type,
    at_top_nat: filter_nat ).

thf(func_def_123,type,
    at_top_real: filter_real ).

thf(func_def_124,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_125,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_126,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_127,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_128,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_129,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_130,type,
    filtermap_real_real: ( real > real ) > filter_real > filter_real ).

thf(func_def_131,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

thf(func_def_132,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

thf(func_def_133,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_134,type,
    finite_card_o: set_o > nat ).

thf(func_def_135,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_136,type,
    finite_card_int: set_int > nat ).

thf(func_def_137,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_138,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_139,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_140,type,
    finite_card_char: set_char > nat ).

thf(func_def_141,type,
    finite_finite_o: set_o > $o ).

thf(func_def_142,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_143,type,
    finite_finite_int: set_int > $o ).

thf(func_def_144,type,
    finite_finite_list_o: set_list_o > $o ).

thf(func_def_145,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(func_def_146,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(func_def_147,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_148,type,
    finite306553202115118035t_real: set_list_real > $o ).

thf(func_def_149,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(func_def_150,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_151,type,
    finite_finite_num: set_num > $o ).

thf(func_def_152,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_153,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_154,type,
    finite_finite_real: set_real > $o ).

thf(func_def_155,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_156,type,
    finite9007344921179782393t_real: set_set_real > $o ).

thf(func_def_157,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

thf(func_def_158,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_159,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(func_def_160,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_161,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_162,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_163,type,
    comp_int_int_num: ( int > int ) > ( num > int ) > num > int ).

thf(func_def_164,type,
    comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).

thf(func_def_165,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

thf(func_def_166,type,
    comp_nat_real_nat: ( nat > real ) > ( nat > nat ) > nat > real ).

thf(func_def_167,type,
    id_o: $o > $o ).

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

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

thf(func_def_170,type,
    inj_on_nat_char: ( nat > char ) > set_nat > $o ).

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

thf(func_def_172,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_173,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_174,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_175,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_176,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_177,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_178,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(func_def_179,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_180,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_181,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_182,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_183,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_184,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_185,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_186,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_187,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_188,type,
    abs_abs_complex: complex > complex ).

thf(func_def_189,type,
    abs_abs_int: int > int ).

thf(func_def_190,type,
    abs_abs_rat: rat > rat ).

thf(func_def_191,type,
    abs_abs_real: real > real ).

thf(func_def_192,type,
    minus_8727706125548526216plex_o: ( complex > $o ) > ( complex > $o ) > complex > $o ).

thf(func_def_193,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_194,type,
    minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).

thf(func_def_195,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_196,type,
    minus_2270307095948843157_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_197,type,
    minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).

thf(func_def_198,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_199,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_200,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_201,type,
    minus_minus_int: int > int > int ).

thf(func_def_202,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_203,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_204,type,
    minus_minus_real: real > real > real ).

thf(func_def_205,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_206,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_207,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_208,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_209,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_210,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_211,type,
    minus_5127226145743854075T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_212,type,
    one_one_Code_integer: code_integer ).

thf(func_def_213,type,
    one_one_complex: complex ).

thf(func_def_214,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_215,type,
    one_one_int: int ).

thf(func_def_216,type,
    one_one_nat: nat ).

thf(func_def_217,type,
    one_one_rat: rat ).

thf(func_def_218,type,
    one_one_real: real ).

thf(func_def_219,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_220,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_221,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_222,type,
    plus_plus_int: int > int > int ).

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

thf(func_def_224,type,
    plus_plus_num: num > num > num ).

thf(func_def_225,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_226,type,
    plus_plus_real: real > real > real ).

thf(func_def_227,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_228,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_229,type,
    sgn_sgn_int: int > int ).

thf(func_def_230,type,
    sgn_sgn_real: real > real ).

thf(func_def_231,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_232,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_233,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_234,type,
    times_times_int: int > int > int ).

thf(func_def_235,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_236,type,
    times_times_num: num > num > num ).

thf(func_def_237,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_238,type,
    times_times_real: real > real > real ).

thf(func_def_239,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_240,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_241,type,
    uminus_uminus_int: int > int ).

thf(func_def_242,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_243,type,
    uminus_uminus_real: real > real ).

thf(func_def_244,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_245,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_246,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_247,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_248,type,
    uminus8041839845116263051T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_249,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_250,type,
    zero_zero_complex: complex ).

thf(func_def_251,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_252,type,
    zero_zero_int: int ).

thf(func_def_253,type,
    zero_zero_nat: nat ).

thf(func_def_254,type,
    zero_zero_rat: rat ).

thf(func_def_255,type,
    zero_zero_real: real ).

thf(func_def_256,type,
    groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_257,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_258,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_259,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_260,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_261,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_262,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_263,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_264,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_265,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_266,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_267,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_268,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_269,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_270,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_271,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_272,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_273,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_274,type,
    groups6381953495645901045omplex: ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > complex ).

thf(func_def_275,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_276,type,
    groups342789780944988191at_rat: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > rat ).

thf(func_def_277,type,
    groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).

thf(func_def_278,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_279,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_280,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_281,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_282,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_283,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_284,type,
    groups1794756597179926696omplex: ( vEBT_VEBT > complex ) > set_VEBT_VEBT > complex ).

thf(func_def_285,type,
    groups769130701875090982BT_int: ( vEBT_VEBT > int ) > set_VEBT_VEBT > int ).

thf(func_def_286,type,
    groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).

thf(func_def_287,type,
    groups136491112297645522BT_rat: ( vEBT_VEBT > rat ) > set_VEBT_VEBT > rat ).

thf(func_def_288,type,
    groups2240296850493347238T_real: ( vEBT_VEBT > real ) > set_VEBT_VEBT > real ).

thf(func_def_289,type,
    groups8682486955453173170nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_290,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_291,type,
    groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_292,type,
    groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_293,type,
    groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_294,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(func_def_295,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(func_def_296,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_297,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_298,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_299,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(func_def_300,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_301,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_302,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_303,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_304,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_305,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(func_def_306,type,
    groups8110221916422527690omplex: ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > complex ).

thf(func_def_307,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(func_def_308,type,
    groups4694064378042380927al_int: ( real > int ) > set_real > int ).

thf(func_def_309,type,
    groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_310,type,
    groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_311,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(func_def_312,type,
    groups127312072573709053omplex: ( vEBT_VEBT > complex ) > set_VEBT_VEBT > complex ).

thf(func_def_313,type,
    groups2703838992350267259T_real: ( vEBT_VEBT > real ) > set_VEBT_VEBT > real ).

thf(func_def_314,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_315,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_316,type,
    the_int: ( int > $o ) > int ).

thf(func_def_317,type,
    the_real: ( real > $o ) > real ).

thf(func_def_318,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_319,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_320,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_321,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_322,type,
    if_int: $o > int > int > int ).

thf(func_def_323,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_324,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_325,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_326,type,
    if_num: $o > num > num > num ).

thf(func_def_327,type,
    if_option_nat: $o > option_nat > option_nat > option_nat ).

thf(func_def_328,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_329,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_330,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_331,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_332,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_333,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_334,type,
    if_real: $o > real > real > real ).

thf(func_def_335,type,
    if_set_nat: $o > set_nat > set_nat > set_nat ).

thf(func_def_336,type,
    if_set_real: $o > set_real > set_real > set_real ).

thf(func_def_337,type,
    if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_338,type,
    infini8530281810654367211te_nat: set_nat > nat > nat ).

thf(func_def_339,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_340,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_341,type,
    nat2: int > nat ).

thf(func_def_342,type,
    power_int_real: real > int > real ).

thf(func_def_343,type,
    ring_1_Ints_real: set_real ).

thf(func_def_344,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_345,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_346,type,
    ring_1_of_int_int: int > int ).

thf(func_def_347,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_348,type,
    ring_1_of_int_real: int > real ).

thf(func_def_349,type,
    inf_in1870772243966228564d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_350,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_351,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_352,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_353,type,
    sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_354,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_355,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_356,type,
    sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_357,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_358,type,
    bfun_nat_real: ( nat > real ) > filter_nat > $o ).

thf(func_def_359,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_360,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_361,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_362,type,
    last_nat: list_nat > nat ).

thf(func_def_363,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_364,type,
    cons_int: int > list_int > list_int ).

thf(func_def_365,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_366,type,
    nil_int: list_int ).

thf(func_def_367,type,
    nil_nat: list_nat ).

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

thf(func_def_369,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_370,type,
    set_o2: list_o > set_o ).

thf(func_def_371,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_372,type,
    set_int2: list_int > set_int ).

thf(func_def_373,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_374,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_375,type,
    set_real2: list_real > set_real ).

thf(func_def_376,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_377,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_378,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_379,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_380,type,
    list_update_complex: list_complex > nat > complex > list_complex ).

thf(func_def_381,type,
    list_update_int: list_int > nat > int > list_int ).

thf(func_def_382,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(func_def_383,type,
    list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_384,type,
    list_update_real: list_real > nat > real > list_real ).

thf(func_def_385,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_386,type,
    nth_o: list_o > nat > $o ).

thf(func_def_387,type,
    nth_complex: list_complex > nat > complex ).

thf(func_def_388,type,
    nth_int: list_int > nat > int ).

thf(func_def_389,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_390,type,
    nth_num: list_num > nat > num ).

thf(func_def_391,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_392,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_393,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_394,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_395,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_396,type,
    nth_Pr8326237132889035090at_num: list_P1726324292696863441at_num > nat > product_prod_nat_num ).

thf(func_def_397,type,
    nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num ).

thf(func_def_398,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_399,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_400,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_401,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_402,type,
    nth_real: list_real > nat > real ).

thf(func_def_403,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_404,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_405,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_406,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_407,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_408,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_409,type,
    product_nat_num: list_nat > list_num > list_P1726324292696863441at_num ).

thf(func_def_410,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_411,type,
    product_num_num: list_num > list_num > list_P3744719386663036955um_num ).

thf(func_def_412,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_413,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_414,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_415,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_416,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_417,type,
    replicate_complex: nat > complex > list_complex ).

thf(func_def_418,type,
    replicate_int: nat > int > list_int ).

thf(func_def_419,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_420,type,
    replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_421,type,
    replicate_real: nat > real > list_real ).

thf(func_def_422,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_423,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_424,type,
    take_nat: nat > list_nat > list_nat ).

thf(func_def_425,type,
    upt: nat > nat > list_nat ).

thf(func_def_426,type,
    upto: int > int > list_int ).

thf(func_def_427,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_428,type,
    suc: nat > nat ).

thf(func_def_429,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_430,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_431,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_432,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_433,type,
    pred: nat > nat ).

thf(func_def_434,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_435,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_436,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_437,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_438,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_439,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_440,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_441,type,
    semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).

thf(func_def_442,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_443,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_444,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(func_def_445,type,
    semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).

thf(func_def_446,type,
    size_size_list_o: list_o > nat ).

thf(func_def_447,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_448,type,
    size_size_list_int: list_int > nat ).

thf(func_def_449,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_450,type,
    size_size_list_num: list_num > nat ).

thf(func_def_451,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(func_def_452,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(func_def_453,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(func_def_454,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(func_def_455,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(func_def_456,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_457,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_458,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(func_def_459,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_460,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_461,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_462,type,
    size_size_list_real: list_real > nat ).

thf(func_def_463,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_464,type,
    size_size_num: num > nat ).

thf(func_def_465,type,
    size_size_option_nat: option_nat > nat ).

thf(func_def_466,type,
    size_size_option_num: option_num > nat ).

thf(func_def_467,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_468,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_469,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_470,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_471,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_472,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_473,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

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

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

thf(func_def_476,type,
    nat_triangle: nat > nat ).

thf(func_def_477,type,
    root: nat > real > real ).

thf(func_def_478,type,
    sqrt: real > real ).

thf(func_def_479,type,
    bitM: num > num ).

thf(func_def_480,type,
    inc: num > num ).

thf(func_def_481,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_482,type,
    neg_nu7009210354673126013omplex: complex > complex ).

thf(func_def_483,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_484,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(func_def_485,type,
    neg_numeral_dbl_real: real > real ).

thf(func_def_486,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_487,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_488,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_489,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_490,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_491,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_492,type,
    neg_nu8557863876264182079omplex: complex > complex ).

thf(func_def_493,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_494,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_495,type,
    neg_nu8295874005876285629c_real: real > real ).

thf(func_def_496,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_497,type,
    bit0: num > num ).

thf(func_def_498,type,
    bit1: num > num ).

thf(func_def_499,type,
    one: num ).

thf(func_def_500,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_501,type,
    size_num: num > nat ).

thf(func_def_502,type,
    num_of_nat: nat > num ).

thf(func_def_503,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_504,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_505,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_506,type,
    numeral_numeral_int: num > int ).

thf(func_def_507,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_508,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_509,type,
    numeral_numeral_real: num > real ).

thf(func_def_510,type,
    pow: num > num > num ).

thf(func_def_511,type,
    pred_numeral: num > nat ).

thf(func_def_512,type,
    sqr: num > num ).

thf(func_def_513,type,
    none_nat: option_nat ).

thf(func_def_514,type,
    none_num: option_num ).

thf(func_def_515,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_516,type,
    some_nat: nat > option_nat ).

thf(func_def_517,type,
    some_num: num > option_num ).

thf(func_def_518,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_519,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_520,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_521,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_522,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_523,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_524,type,
    size_option_nat: ( nat > nat ) > option_nat > nat ).

thf(func_def_525,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_526,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_527,type,
    the_nat: option_nat > nat ).

thf(func_def_528,type,
    the_num: option_num > num ).

thf(func_def_529,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_530,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_531,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_532,type,
    bot_bot_nat: nat ).

thf(func_def_533,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_534,type,
    bot_bot_set_int: set_int ).

thf(func_def_535,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_536,type,
    bot_bot_set_num: set_num ).

thf(func_def_537,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_538,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_539,type,
    bot_bot_set_real: set_real ).

thf(func_def_540,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_541,type,
    bot_bot_set_set_real: set_set_real ).

thf(func_def_542,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_543,type,
    ord_Least_nat: ( nat > $o ) > nat ).

thf(func_def_544,type,
    ord_Least_real: ( real > $o ) > real ).

thf(func_def_545,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_546,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_547,type,
    ord_less_int: int > int > $o ).

thf(func_def_548,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_549,type,
    ord_less_num: num > num > $o ).

thf(func_def_550,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_551,type,
    ord_less_real: real > real > $o ).

thf(func_def_552,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_553,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_554,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_555,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_556,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_557,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_558,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_559,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_560,type,
    ord_le7926960851185191020t_real: set_set_real > set_set_real > $o ).

thf(func_def_561,type,
    ord_le3480810397992357184T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_562,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_563,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_564,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_565,type,
    ord_less_eq_int: int > int > $o ).

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

thf(func_def_567,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_568,type,
    ord_less_eq_rat: rat > rat > $o ).

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

thf(func_def_570,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_571,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_572,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_573,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_574,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_575,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_576,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_577,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_578,type,
    ord_le3558479182127378552t_real: set_set_real > set_set_real > $o ).

thf(func_def_579,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_580,type,
    ord_max_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_581,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_582,type,
    ord_max_int: int > int > int ).

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

thf(func_def_584,type,
    ord_max_num: num > num > num ).

thf(func_def_585,type,
    ord_max_rat: rat > rat > rat ).

thf(func_def_586,type,
    ord_max_real: real > real > real ).

thf(func_def_587,type,
    ord_max_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_588,type,
    ord_max_set_real: set_real > set_real > set_real ).

thf(func_def_589,type,
    ord_mi8085742599997312461d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_590,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_591,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_592,type,
    order_9091379641038594480t_real: ( nat > real ) > $o ).

thf(func_def_593,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_594,type,
    order_mono_nat_real: ( nat > real ) > $o ).

thf(func_def_595,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_596,type,
    order_7092887310737990675l_real: ( real > real ) > $o ).

thf(func_def_597,type,
    ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_598,type,
    top_top_set_o: set_o ).

thf(func_def_599,type,
    top_top_set_nat: set_nat ).

thf(func_def_600,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_601,type,
    top_top_set_real: set_real ).

thf(func_def_602,type,
    top_top_set_char: set_char ).

thf(func_def_603,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_604,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_605,type,
    power_power_int: int > nat > int ).

thf(func_def_606,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_607,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_608,type,
    power_power_real: real > nat > real ).

thf(func_def_609,type,
    produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).

thf(func_def_610,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(func_def_611,type,
    produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).

thf(func_def_612,type,
    produc851828971589881931at_num: ( nat > num > num ) > produc2963631642982155120at_num > produc3368934014287244435at_num ).

thf(func_def_613,type,
    produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).

thf(func_def_614,type,
    produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).

thf(func_def_615,type,
    produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).

thf(func_def_616,type,
    produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).

thf(func_def_617,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_618,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_619,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_620,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_621,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_622,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_623,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

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

thf(func_def_625,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_626,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_627,type,
    produc1195630363706982562at_num: nat > product_prod_nat_num > produc2963631642982155120at_num ).

thf(func_def_628,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_629,type,
    produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).

thf(func_def_630,type,
    produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).

thf(func_def_631,type,
    produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).

thf(func_def_632,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_633,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_634,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_635,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_636,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_637,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_638,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_639,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_640,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_641,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_642,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_643,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_644,type,
    produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).

thf(func_def_645,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_646,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_647,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_648,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_649,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_650,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_651,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(func_def_652,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_653,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_654,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_655,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(func_def_656,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(func_def_657,type,
    produc3453488052772718514omplex: ( nat > nat > set_complex ) > product_prod_nat_nat > set_complex ).

thf(func_def_658,type,
    produc3668448655016342576t_real: ( nat > nat > set_real ) > product_prod_nat_nat > set_real ).

thf(func_def_659,type,
    produc4927758841916487424_num_o: ( nat > num > $o ) > product_prod_nat_num > $o ).

thf(func_def_660,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_661,type,
    produc6231982587499038204omplex: ( nat > num > set_complex ) > product_prod_nat_num > set_complex ).

thf(func_def_662,type,
    produc9175805072616146554et_int: ( nat > num > set_int ) > product_prod_nat_num > set_int ).

thf(func_def_663,type,
    produc4130284055270567454et_nat: ( nat > num > set_nat ) > product_prod_nat_num > set_nat ).

thf(func_def_664,type,
    produc1435849484188172666t_real: ( nat > num > set_real ) > product_prod_nat_num > set_real ).

thf(func_def_665,type,
    produc5703948589228662326_num_o: ( num > num > $o ) > product_prod_num_num > $o ).

thf(func_def_666,type,
    produc2866383454006189126omplex: ( num > num > set_complex ) > product_prod_num_num > set_complex ).

thf(func_def_667,type,
    produc6406642877701697732et_int: ( num > num > set_int ) > product_prod_num_num > set_int ).

thf(func_def_668,type,
    produc1361121860356118632et_nat: ( num > num > set_nat ) > product_prod_num_num > set_nat ).

thf(func_def_669,type,
    produc8296048397933160132t_real: ( num > num > set_real ) > product_prod_num_num > set_real ).

thf(func_def_670,type,
    produc6590410687421337004_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc859450856879609959at_nat > $o ).

thf(func_def_671,type,
    produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).

thf(func_def_672,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_673,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_674,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_675,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_676,type,
    frct: product_prod_int_int > rat ).

thf(func_def_677,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_678,type,
    field_7254667332652039916t_real: rat > real ).

thf(func_def_679,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_680,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_681,type,
    real_V2521375963428798218omplex: set_complex ).

thf(func_def_682,type,
    real_V5970128139526366754l_real: ( real > real ) > $o ).

thf(func_def_683,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_684,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_685,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_686,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_687,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_688,type,
    real_V1803761363581548252l_real: real > real ).

thf(func_def_689,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_690,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(func_def_691,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_692,type,
    id_nat2: set_Pr1261947904930325089at_nat ).

thf(func_def_693,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_694,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_695,type,
    divide_divide_int: int > int > int ).

thf(func_def_696,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_697,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_698,type,
    divide_divide_real: real > real > real ).

thf(func_def_699,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_700,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_701,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_702,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_703,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_704,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_705,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_706,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_707,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_708,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_709,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_710,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_711,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_712,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_713,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_714,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_715,type,
    suminf_int: ( nat > int ) > int ).

thf(func_def_716,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(func_def_717,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_718,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_719,type,
    summable_int: ( nat > int ) > $o ).

thf(func_def_720,type,
    summable_nat: ( nat > nat ) > $o ).

thf(func_def_721,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_722,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(func_def_723,type,
    sums_int: ( nat > int ) > int > $o ).

thf(func_def_724,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(func_def_725,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_726,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_727,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_728,type,
    collect_list_o: ( list_o > $o ) > set_list_o ).

thf(func_def_729,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(func_def_730,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(func_def_731,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_732,type,
    collect_list_real: ( list_real > $o ) > set_list_real ).

thf(func_def_733,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(func_def_734,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_735,type,
    collect_num: ( num > $o ) > set_num ).

thf(func_def_736,type,
    collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).

thf(func_def_737,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_738,type,
    collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).

thf(func_def_739,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(func_def_740,type,
    collect_real: ( real > $o ) > set_real ).

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

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

thf(func_def_743,type,
    image_nat_real: ( nat > real ) > set_nat > set_real ).

thf(func_def_744,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_745,type,
    image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).

thf(func_def_746,type,
    image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).

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

thf(func_def_748,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_749,type,
    image_VEBT_VEBT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > set_nat ).

thf(func_def_750,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_751,type,
    insert_int: int > set_int > set_int ).

thf(func_def_752,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_753,type,
    insert_num: num > set_num > set_num ).

thf(func_def_754,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_755,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_756,type,
    insert_real: real > set_real > set_real ).

thf(func_def_757,type,
    insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

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

thf(func_def_759,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_760,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_761,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_762,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_763,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_764,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_765,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_766,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_767,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_768,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_769,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_770,type,
    set_or7743017856606604397t_real: set_real > set_real > set_set_real ).

thf(func_def_771,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_772,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_773,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_774,type,
    set_ord_atLeast_real: real > set_real ).

thf(func_def_775,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_776,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_777,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_778,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_779,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_780,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_781,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_782,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_783,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_784,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_785,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_786,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_787,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_788,type,
    ascii_of: char > char ).

thf(func_def_789,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_790,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_791,type,
    integer_of_char: char > code_integer ).

thf(func_def_792,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_793,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_794,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_795,type,
    topolo4899668324122417113eq_int: ( nat > int ) > $o ).

thf(func_def_796,type,
    topolo4902158794631467389eq_nat: ( nat > nat ) > $o ).

thf(func_def_797,type,
    topolo1459490580787246023eq_num: ( nat > num ) > $o ).

thf(func_def_798,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_799,type,
    topolo7278393974255667507et_nat: ( nat > set_nat ) > $o ).

thf(func_def_800,type,
    topolo2489691266198938127t_real: ( nat > set_real ) > $o ).

thf(func_def_801,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_802,type,
    topolo7531315842566124627t_real: ( nat > real ) > $o ).

thf(func_def_803,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_804,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_805,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

thf(func_def_806,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

thf(func_def_807,type,
    arccos: real > real ).

thf(func_def_808,type,
    arcosh_real: real > real ).

thf(func_def_809,type,
    arcsin: real > real ).

thf(func_def_810,type,
    arctan: real > real ).

thf(func_def_811,type,
    arsinh_real: real > real ).

thf(func_def_812,type,
    artanh_real: real > real ).

thf(func_def_813,type,
    cos_complex: complex > complex ).

thf(func_def_814,type,
    cos_real: real > real ).

thf(func_def_815,type,
    cos_coeff: nat > real ).

thf(func_def_816,type,
    cosh_real: real > real ).

thf(func_def_817,type,
    cot_real: real > real ).

thf(func_def_818,type,
    diffs_complex: ( nat > complex ) > nat > complex ).

thf(func_def_819,type,
    diffs_int: ( nat > int ) > nat > int ).

thf(func_def_820,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(func_def_821,type,
    exp_complex: complex > complex ).

thf(func_def_822,type,
    exp_real: real > real ).

thf(func_def_823,type,
    ln_ln_real: real > real ).

thf(func_def_824,type,
    log: real > real > real ).

thf(func_def_825,type,
    pi: real ).

thf(func_def_826,type,
    powr_real: real > real > real ).

thf(func_def_827,type,
    sin_complex: complex > complex ).

thf(func_def_828,type,
    sin_real: real > real ).

thf(func_def_829,type,
    sin_coeff: nat > real ).

thf(func_def_830,type,
    sinh_real: real > real ).

thf(func_def_831,type,
    tan_complex: complex > complex ).

thf(func_def_832,type,
    tan_real: real > real ).

thf(func_def_833,type,
    tanh_complex: complex > complex ).

thf(func_def_834,type,
    tanh_real: real > real ).

thf(func_def_835,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_836,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_837,type,
    vEBT_T_i_n_s_e_r_t: vEBT_VEBT > nat > nat ).

thf(func_def_838,type,
    vEBT_T_i_n_s_e_r_t2: vEBT_VEBT > nat > nat ).

thf(func_def_839,type,
    vEBT_T5076183648494686801_t_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_840,type,
    vEBT_T9217963907923527482_t_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_841,type,
    vEBT_T_m_a_x_t: vEBT_VEBT > nat ).

thf(func_def_842,type,
    vEBT_T_m_a_x_t_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_843,type,
    vEBT_T_m_e_m_b_e_r: vEBT_VEBT > nat > nat ).

thf(func_def_844,type,
    vEBT_T_m_e_m_b_e_r2: vEBT_VEBT > nat > nat ).

thf(func_def_845,type,
    vEBT_T8099345112685741742_r_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_846,type,
    vEBT_T5837161174952499735_r_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_847,type,
    vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat ).

thf(func_def_848,type,
    vEBT_T5462971552011256508_l_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_849,type,
    vEBT_T_m_i_n_t: vEBT_VEBT > nat ).

thf(func_def_850,type,
    vEBT_T_m_i_n_t_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_851,type,
    vEBT_T_p_r_e_d: vEBT_VEBT > nat > nat ).

thf(func_def_852,type,
    vEBT_T_p_r_e_d2: vEBT_VEBT > nat > nat ).

thf(func_def_853,type,
    vEBT_T_p_r_e_d_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_854,type,
    vEBT_T_p_r_e_d_rel2: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_855,type,
    vEBT_T_s_u_c_c: vEBT_VEBT > nat > nat ).

thf(func_def_856,type,
    vEBT_T_s_u_c_c2: vEBT_VEBT > nat > nat ).

thf(func_def_857,type,
    vEBT_T_s_u_c_c_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_858,type,
    vEBT_T_s_u_c_c_rel2: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_859,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_860,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_861,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_862,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_863,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_864,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_865,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_866,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_867,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_868,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_869,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_870,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_871,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_872,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_873,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_874,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_875,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_876,type,
    vEBT_T_d_e_l_e_t_e: vEBT_VEBT > nat > nat ).

thf(func_def_877,type,
    vEBT_T8441311223069195367_e_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_878,type,
    vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_879,type,
    vEBT_vebt_delete_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_880,type,
    vEBT_VEBT_height: vEBT_VEBT > nat ).

thf(func_def_881,type,
    vEBT_VEBT_height_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_882,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_883,type,
    vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_884,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_885,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_886,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_887,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_888,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_889,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_890,type,
    vEBT_VEBT_add: option_nat > option_nat > option_nat ).

thf(func_def_891,type,
    vEBT_VEBT_greater: option_nat > option_nat > $o ).

thf(func_def_892,type,
    vEBT_VEBT_less: option_nat > option_nat > $o ).

thf(func_def_893,type,
    vEBT_VEBT_lesseq: option_nat > option_nat > $o ).

thf(func_def_894,type,
    vEBT_VEBT_max_in_set: set_nat > nat > $o ).

thf(func_def_895,type,
    vEBT_VEBT_min_in_set: set_nat > nat > $o ).

thf(func_def_896,type,
    vEBT_VEBT_mul: option_nat > option_nat > option_nat ).

thf(func_def_897,type,
    vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).

thf(func_def_898,type,
    vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(func_def_899,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_900,type,
    vEBT_VEBT_power: option_nat > option_nat > option_nat ).

thf(func_def_901,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

thf(func_def_902,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_903,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(func_def_904,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_905,type,
    vEBT_is_pred_in_set: set_nat > nat > nat > $o ).

thf(func_def_906,type,
    vEBT_vebt_pred: vEBT_VEBT > nat > option_nat ).

thf(func_def_907,type,
    vEBT_vebt_pred_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_908,type,
    vEBT_is_succ_in_set: set_nat > nat > nat > $o ).

thf(func_def_909,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).

thf(func_def_910,type,
    vEBT_vebt_succ_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_911,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_912,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_913,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_914,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_915,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_916,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_917,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(func_def_918,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_919,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_920,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_921,type,
    member_o: $o > set_o > $o ).

thf(func_def_922,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_923,type,
    member_int: int > set_int > $o ).

thf(func_def_924,type,
    member_list_o: list_o > set_list_o > $o ).

thf(func_def_925,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_926,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_927,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_928,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_929,type,
    member_num: num > set_num > $o ).

thf(func_def_930,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_931,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_932,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_933,type,
    member_real: real > set_real > $o ).

thf(func_def_934,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_935,type,
    member_set_real: set_real > set_set_real > $o ).

thf(func_def_936,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_937,type,
    deg: nat ).

thf(func_def_938,type,
    m: nat ).

thf(func_def_939,type,
    ma: nat ).

thf(func_def_940,type,
    mi: nat ).

thf(func_def_941,type,
    na: nat ).

thf(func_def_942,type,
    summary: vEBT_VEBT ).

thf(func_def_943,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_944,type,
    xa: nat ).

thf(func_def_946,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_947,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_948,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_949,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_950,type,
    vIMP: $o > $o > $o ).

thf(func_def_951,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_952,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_953,type,
    vAND: $o > $o > $o ).

thf(func_def_954,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_957,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_958,type,
    vNOT: $o > $o ).

thf(func_def_959,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_960,type,
    vOR: $o > $o > $o ).

thf(func_def_961,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_962,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_963,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_964,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_965,type,
    db11: 
      !>[X0: $tType] : X0 ).

thf(func_def_966,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_967,type,
    db10: 
      !>[X0: $tType] : X0 ).

thf(func_def_969,type,
    sK1: real > real ).

thf(func_def_970,type,
    sK2: rat > rat ).

thf(func_def_971,type,
    sK3: rat > rat ).

thf(func_def_972,type,
    sK4: real > real ).

thf(func_def_973,type,
    sK5: nat > list_VEBT_VEBT ).

thf(func_def_974,type,
    sK6: nat ).

thf(func_def_975,type,
    sK7: int ).

thf(func_def_976,type,
    sK8: vEBT_VEBT > nat ).

thf(func_def_977,type,
    sK9: ( option_nat > $o ) > option_nat ).

thf(func_def_978,type,
    sK10: ( option_nat > $o ) > option_nat ).

thf(func_def_979,type,
    sK11: ( option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat ).

thf(func_def_980,type,
    sK12: ( option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat ).

thf(f1,axiom,
    xa = mi,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).

thf(f5,axiom,
    ~ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_False) ).

thf(f438,axiom,
    ! [X0: nat] :
      ( ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X0 )
      = ( suc @ ( suc @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_437_add__2__eq__Suc) ).

thf(f439,axiom,
    ( ( suc @ one_one_nat )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_438_Suc__1) ).

thf(f514,axiom,
    ( ( plus_plus_nat @ one_one_nat )
    = suc ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_513_plus__1__eq__Suc) ).

thf(f515,axiom,
    ( suc
    = ( ^ [X0: nat] : ( plus_plus_nat @ X0 @ one_one_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_Suc__eq__plus1) ).

thf(f1291,axiom,
    ( plus_plus_nat
    = ( ^ [X0: nat,X1: nat] : ( plus_plus_nat @ X1 @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1290_add_Ocommute) ).

thf(f1573,axiom,
    ( ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( 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 ) ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 ) ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 ) ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( 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 ) ) ) ) ) )
                @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                  @ ( if_nat
                    @ ( ( 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 ) ) ) ) ) )
                      = ma )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) )
                            = none_nat )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                @ ( if_nat
                  @ ( ( 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 ) ) ) ) ) )
                    = ma )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( 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 ) ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1572__C2_C) ).

thf(f2497,axiom,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2496_One__nat__def) ).

thf(f2864,axiom,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2863_numeral__2__eq__2) ).

thf(f2879,axiom,
    ( ( numeral_numeral_nat @ ( bit1 @ one ) )
    = ( suc @ ( suc @ ( suc @ zero_zero_nat ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2878_numeral__3__eq__3) ).

thf(f10214,axiom,
    ! [X1: nat,X0: nat] :
      ( ( if_nat @ $false @ X0 @ X1 )
      = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Nat__Onat_T) ).

thf(f10254,conjecture,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f10255,negated_conjecture,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
   != ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) ),
    inference(negated_conjecture,[status(cth)],[f10254]) ).

thf(f10391,plain,
    ( ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( 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 ) ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 ) ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 ) ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( 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 ) ) ) ) ) )
                @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                  @ ( if_nat
                    @ ( ( 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 ) ) ) ) ) )
                      = ma )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) )
                            = none_nat )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                @ ( if_nat
                  @ ( ( 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 ) ) ) ) ) )
                    = ma )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( 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 ) ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(rectify,[],[f1573]) ).

thf(f10392,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( 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 ) ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 ) ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 ) ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( 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 ) ) ) ) ) )
                @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                  @ ( if_nat
                    @ ( ma
                      = ( 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 ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                @ ( if_nat
                  @ ( ma
                    = ( 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 ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( 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 ) ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(fool_elimination,[],[f10391]) ).

thf(f12933,plain,
    ! [X0: nat,X1: nat] :
      ( ( if_nat @ $false @ X1 @ X0 )
      = X0 ),
    inference(rectify,[],[f10214]) ).

thf(f12934,plain,
    ( ( !! @ nat
      @ ^ [Y0: nat] :
          ( !! @ nat
          @ ^ [Y1: nat] :
              ( ( if_nat @ $false @ Y0 @ Y1 )
              = Y1 ) ) )
    = $true ),
    inference(fool_elimination,[],[f12933]) ).

thf(f13043,plain,
    ( $true
    = ( !! @ nat
      @ ^ [Y0: nat] :
          ( ( suc @ ( suc @ Y0 ) )
          = ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f438]) ).

thf(f13773,plain,
    ( ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
     != ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) )
    = $true ),
    inference(fool_elimination,[],[f10255]) ).

thf(f14669,plain,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    inference(fool_elimination,[],[f2497]) ).

thf(f16223,plain,
    ( ( plus_plus_nat @ one_one_nat )
    = suc ),
    inference(fool_elimination,[],[f514]) ).

thf(f17763,plain,
    xa = mi,
    inference(fool_elimination,[],[f1]) ).

thf(f18176,plain,
    ( plus_plus_nat
    = ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 ) ) ),
    inference(fool_elimination,[],[f1291]) ).

thf(f19593,plain,
    ( ( numeral_numeral_nat @ ( bit1 @ one ) )
    = ( suc @ ( suc @ ( suc @ zero_zero_nat ) ) ) ),
    inference(fool_elimination,[],[f2879]) ).

thf(f19930,plain,
    ~ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ),
    inference(rectify,[],[f5]) ).

thf(f19931,plain,
    ( ( ~ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ) )
    = $true ),
    inference(fool_elimination,[],[f19930]) ).

thf(f22230,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ one_one_nat ) ),
    inference(fool_elimination,[],[f439]) ).

thf(f22435,plain,
    ( suc
    = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ one_one_nat ) ) ),
    inference(fool_elimination,[],[f515]) ).

thf(f22668,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(fool_elimination,[],[f2864]) ).

thf(f28104,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(cnf_transformation,[],[f22668]) ).

thf(f28121,plain,
    ( $true
    = ( !! @ nat
      @ ^ [Y0: nat] :
          ( ( suc @ ( suc @ Y0 ) )
          = ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f13043]) ).

thf(f28161,plain,
    ( ( !! @ nat
      @ ^ [Y0: nat] :
          ( !! @ nat
          @ ^ [Y1: nat] :
              ( ( if_nat @ $false @ Y0 @ Y1 )
              = Y1 ) ) )
    = $true ),
    inference(cnf_transformation,[],[f12934]) ).

thf(f28956,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ one_one_nat ) ),
    inference(cnf_transformation,[],[f22230]) ).

thf(f28995,plain,
    ( plus_plus_nat
    = ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 ) ) ),
    inference(cnf_transformation,[],[f18176]) ).

thf(f29047,plain,
    ( ( plus_plus_nat @ one_one_nat )
    = suc ),
    inference(cnf_transformation,[],[f16223]) ).

thf(f29611,plain,
    ( suc
    = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ one_one_nat ) ) ),
    inference(cnf_transformation,[],[f22435]) ).

thf(f29850,plain,
    ( ( ~ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ) )
    = $true ),
    inference(cnf_transformation,[],[f19931]) ).

thf(f30350,plain,
    ( ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
     != ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) )
    = $true ),
    inference(cnf_transformation,[],[f13773]) ).

thf(f30435,plain,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    inference(cnf_transformation,[],[f14669]) ).

thf(f30653,plain,
    ( ( numeral_numeral_nat @ ( bit1 @ one ) )
    = ( suc @ ( suc @ ( suc @ zero_zero_nat ) ) ) ),
    inference(cnf_transformation,[],[f19593]) ).

thf(f31336,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( 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 ) ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 ) ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 ) ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( 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 ) ) ) ) ) )
                @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                  @ ( if_nat
                    @ ( ma
                      = ( 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 ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) )
                @ ( if_nat
                  @ ( ma
                    = ( 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 ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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_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 ) ) ) ) ) ) @ ( 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 ) ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(cnf_transformation,[],[f10392]) ).

thf(f31358,plain,
    xa = mi,
    inference(cnf_transformation,[],[f17763]) ).

thf(f31543,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ ( suc @ zero_zero_nat ) )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) @ ( 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 @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ ( suc @ zero_zero_nat ) )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) @ ( 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 @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ ( suc @ zero_zero_nat ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(backward_demodulation,[],[f31336,f28104]) ).

thf(f31565,plain,
    ( ( numeral_numeral_nat @ ( bit1 @ one ) )
    = ( suc @ ( suc @ one_one_nat ) ) ),
    inference(backward_demodulation,[],[f30653,f30435]) ).

thf(f31598,plain,
    ( ( ord_less_nat @ ( 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 ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
    = $false ),
    inference(not_proxy_clausification,[],[f29850]) ).

thf(f31617,plain,
    ( $true
    = ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
     != ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f30350,f31358]) ).

thf(f31625,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ one ) ) @ ( numeral_numeral_nat @ ( bit1 @ one ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31543,f30435]) ).

thf(f31640,plain,
    ( $false
    = ( ord_less_nat @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ) ),
    inference(forward_demodulation,[],[f31598,f28956]) ).

thf(f31645,plain,
    ( $true
    = ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
     != ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31617,f31565]) ).

thf(f31646,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ ( ord_less_nat @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31625,f31565]) ).

thf(f31653,plain,
    ( ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
      = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) )
    = $false ),
    inference(not_proxy_clausification,[],[f31645]) ).

thf(f31654,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31646,f31640]) ).

thf(f31666,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
   != ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) @ one_one_nat ) ),
    inference(equality_proxy_clausification,[],[f31653]) ).

thf(f31667,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31654,f31358]) ).

thf(f31675,plain,
    ! [X1: nat] :
      ( ( suc @ X1 )
      = ( plus_plus_nat @ one_one_nat @ X1 ) ),
    inference(argument_congruence,[],[f29047]) ).

thf(f31678,plain,
    ( ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(backward_demodulation,[],[f31667,f31675]) ).

thf(f31681,plain,
    ( ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31678,f31675]) ).

thf(f31684,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ one_one_nat
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31681,f31675]) ).

thf(f31687,plain,
    ( ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31684,f31675]) ).

thf(f31720,plain,
    ! [X1: nat] :
      ( ( suc @ X1 )
      = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ one_one_nat )
        @ X1 ) ),
    inference(argument_congruence,[],[f29611]) ).

thf(f31721,plain,
    ! [X1: nat] :
      ( ( suc @ X1 )
      = ( plus_plus_nat @ X1 @ one_one_nat ) ),
    inference(beta-eta_normalization,[],[f31720]) ).

thf(f31722,plain,
    ( ( suc @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) @ one_one_nat ) )
   != ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(backward_demodulation,[],[f31666,f31721]) ).

thf(f31725,plain,
    ( ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( 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 @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(backward_demodulation,[],[f31687,f31721]) ).

thf(f31726,plain,
    ( ( suc @ ( suc @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) ) )
   != ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31722,f31721]) ).

thf(f31751,plain,
    ! [X1: nat] :
      ( ( plus_plus_nat @ X1 )
      = ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 )
        @ X1 ) ),
    inference(argument_congruence,[],[f28995]) ).

thf(f31752,plain,
    ! [X1: nat] :
      ( ( plus_plus_nat @ X1 )
      = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f31751]) ).

thf(f31763,plain,
    ! [X2: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X2 )
      = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ X1 )
        @ X2 ) ),
    inference(argument_congruence,[],[f31752]) ).

thf(f31764,plain,
    ! [X2: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X2 )
      = ( plus_plus_nat @ X2 @ X1 ) ),
    inference(beta-eta_normalization,[],[f31763]) ).

thf(f31765,plain,
    ( ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(backward_demodulation,[],[f31725,f31764]) ).

thf(f31769,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
   != ( suc @ ( suc @ ( plus_plus_nat @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) ) ) ) ),
    inference(backward_demodulation,[],[f31726,f31764]) ).

thf(f31772,plain,
    ( ( suc @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) ) ) ) )
   != ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31769,f31764]) ).

thf(f31773,plain,
    ( ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31765,f31764]) ).

thf(f31775,plain,
    ( ( suc @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) ) ) ) ) )
   != ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31772,f31764]) ).

thf(f31776,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) @ ( vEBT_T_m_i_n_t @ summary ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31773,f31764]) ).

thf(f31777,plain,
    ( ( suc @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) )
   != ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31775,f31764]) ).

thf(f31778,plain,
    ( ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f31776,f31764]) ).

thf(f31779,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( plus_plus_nat @ ( suc @ one_one_nat )
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( suc
                        @ ( if_nat
                          @ ( none_nat
                            = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                          @ one_one_nat
                          @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                    @ one_one_nat ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) ) ),
    inference(forward_demodulation,[],[f31778,f31764]) ).

thf(f33139,plain,
    ! [X1: nat] :
      ( $true
      = ( ^ [Y0: nat] :
            ( ( suc @ ( suc @ Y0 ) )
            = ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f28121]) ).

thf(f33140,plain,
    ! [X1: nat] :
      ( ( ( suc @ ( suc @ X1 ) )
        = ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X1 ) )
      = $true ),
    inference(beta-eta_normalization,[],[f33139]) ).

thf(f33141,plain,
    ! [X1: nat] :
      ( ( ( suc @ ( suc @ X1 ) )
        = ( plus_plus_nat @ ( suc @ one_one_nat ) @ X1 ) )
      = $true ),
    inference(forward_demodulation,[],[f33140,f28956]) ).

thf(f33142,plain,
    ! [X1: nat] :
      ( ( suc @ ( suc @ X1 ) )
      = ( plus_plus_nat @ ( suc @ one_one_nat ) @ X1 ) ),
    inference(equality_proxy_clausification,[],[f33141]) ).

thf(f33145,plain,
    ( ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( suc
                  @ ( suc
                    @ ( if_nat
                      @ ( ma
                        = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                        @ ( suc
                          @ ( if_nat
                            @ ( none_nat
                              = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                            @ one_one_nat
                            @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                      @ one_one_nat ) ) ) )
              @ ( plus_plus_nat @ ( suc @ one_one_nat )
                @ ( if_nat
                  @ ( ma
                    = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                  @ one_one_nat ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(backward_demodulation,[],[f31779,f33142]) ).

thf(f33147,plain,
    ( ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) ) ) ) ) )
      @ ( if_nat @ $false
        @ ( plus_plus_nat @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ one ) ) ) @ ( vEBT_T_d_e_l_e_t_e @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
          @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_i_n_N_u_l_l @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
            @ ( if_nat @ ( vEBT_VEBT_minNull @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
              @ ( plus_plus_nat @ ( suc @ ( vEBT_T_d_e_l_e_t_e @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) )
                @ ( suc
                  @ ( suc
                    @ ( if_nat
                      @ ( ma
                        = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                      @ ( plus_plus_nat @ ( suc @ ( vEBT_T_m_a_x_t @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                        @ ( suc
                          @ ( if_nat
                            @ ( none_nat
                              = ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                            @ one_one_nat
                            @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) ) ) ) )
                      @ one_one_nat ) ) ) )
              @ ( suc
                @ ( suc
                  @ ( if_nat
                    @ ( ma
                      = ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit1 @ one ) ) ) @ ( vEBT_T_m_a_x_t @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( suc @ one_one_nat ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) ) ) )
                    @ one_one_nat ) ) ) ) ) )
        @ one_one_nat ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f33145,f33142]) ).

thf(f33671,plain,
    ! [X1: nat] :
      ( ( ^ [Y0: nat] :
            ( !! @ nat
            @ ^ [Y1: nat] :
                ( ( if_nat @ $false @ Y0 @ Y1 )
                = Y1 ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f28161]) ).

thf(f33672,plain,
    ! [X1: nat] :
      ( $true
      = ( !! @ nat
        @ ^ [Y0: nat] :
            ( ( if_nat @ $false @ X1 @ Y0 )
            = Y0 ) ) ),
    inference(beta-eta_normalization,[],[f33671]) ).

thf(f33675,plain,
    ! [X2: nat,X1: nat] :
      ( $true
      = ( ^ [Y0: nat] :
            ( ( if_nat @ $false @ X1 @ Y0 )
            = Y0 )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f33672]) ).

thf(f33676,plain,
    ! [X2: nat,X1: nat] :
      ( $true
      = ( ( if_nat @ $false @ X1 @ X2 )
        = X2 ) ),
    inference(beta-eta_normalization,[],[f33675]) ).

thf(f33677,plain,
    ! [X2: nat,X1: nat] :
      ( ( if_nat @ $false @ X1 @ X2 )
      = X2 ),
    inference(equality_proxy_clausification,[],[f33676]) ).

thf(f33678,plain,
    ( ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa )
    = ( plus_plus_nat @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) @ one_one_nat ) ),
    inference(backward_demodulation,[],[f33147,f33677]) ).

thf(f33679,plain,
    ( ( suc @ ( suc @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit1 @ one ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) @ ( plus_plus_nat @ ( vEBT_T_m_i_n_t @ summary ) @ ( plus_plus_nat @ ( numeral_numeral_nat @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( plus_plus_nat @ ( suc @ ( suc @ one_one_nat ) ) @ ( suc @ ( suc @ one_one_nat ) ) ) ) ) ) ) ) )
    = ( vEBT_T_d_e_l_e_t_e @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ xa @ ma ) ) @ deg @ treeList @ summary ) @ xa ) ),
    inference(forward_demodulation,[],[f33678,f31721]) ).

thf(f33680,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f33679,f31777]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP271^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  % Computer : n001.cluster.edu
% 0.10/0.21  % Model    : x86_64 x86_64
% 0.10/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21  % Memory   : 8046.5625MB
% 0.10/0.21  % OS       : Linux 6.8.0-71-generic
% 0.10/0.21  % CPULimit : 300
% 0.10/0.21  % WCLimit  : 300
% 0.10/0.21  % DateTime : Tue Sep 29 20:54:56 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25  Running higher-order theorem proving
% 4.98/5.10  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.96  % (1799141)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.07/5.96  % (1799150)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2712366831:i=24:av=off:rtra=on_2992 on theBenchmark for (2992ds/24Mi)
% 5.07/5.96  % (1799152)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.07/5.96  % (1799152)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
% 5.07/5.96  % (1799147)lrs+10_16_si=on:nwc=1.5:random_seed=3970893092:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/18Mi)
% 5.07/5.96  % (1799146)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=221623738:s2a=on:i=87:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/87Mi)
% 5.07/5.96  % (1799148)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=730361520:i=3:rtra=on:inj=on:ntd=on_2992 on theBenchmark for (2992ds/3Mi)
% 5.07/5.96  % (1799149)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=4191530504: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_2992 on theBenchmark for (2992ds/634Mi)
% 5.07/5.96  % (1799151)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1477614734:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/75Mi)
% 5.07/5.96  % (1799152)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=911472751:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/157Mi)
% 5.07/5.96  % (1799148)Instruction limit reached! 
% 5.07/5.96  % (1799148)------------------------------
% 5.07/5.96  % (1799148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/5.96  % (1799148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/5.96  % (1799148)CaDiCaL version: 2.1.3
% 5.07/5.96  % (1799148)Termination reason: Instruction limit
% 5.07/5.96  % (1799148)Termination phase: shuffling
% 5.07/5.96  % (1799148)Time elapsed: 0.005 s
% 5.07/5.96  % (1799148)Peak memory usage: 25 MB
% 5.07/5.96  % (1799148)Instructions burned: 3 (million)
% 5.07/5.96  % (1799150)Instruction limit reached! 
% 5.07/5.96  % (1799150)------------------------------
% 5.07/5.96  % (1799150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/5.96  % (1799150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/5.96  % (1799150)CaDiCaL version: 2.1.3
% 5.07/5.96  % (1799150)Termination reason: Instruction limit
% 5.07/5.96  % (1799150)Termination phase: shuffling
% 5.07/5.96  % (1799150)Time elapsed: 0.016 s
% 5.07/5.96  % (1799150)Peak memory usage: 26 MB
% 5.07/5.96  % (1799150)Instructions burned: 25 (million)
% 5.07/5.96  % (1799147)Instruction limit reached! 
% 5.07/5.96  % (1799147)------------------------------
% 5.07/5.96  % (1799147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/5.96  % (1799147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/5.96  % (1799147)CaDiCaL version: 2.1.3
% 5.07/5.96  % (1799147)Termination reason: Instruction limit
% 5.07/5.96  % (1799147)Termination phase: shuffling
% 5.07/5.96  % (1799147)Time elapsed: 0.022 s
% 5.07/5.96  % (1799147)Peak memory usage: 26 MB
% 5.07/5.96  % (1799147)Instructions burned: 18 (million)
% 5.07/5.96  % (1799161)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=185689289:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2992 on theBenchmark for (2992ds/5Mi)
% 5.07/5.96  % (1799160)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=512771651:i=2:hud=10:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.07/5.96  % (1799161)Instruction limit reached! 
% 5.07/5.96  % (1799161)------------------------------
% 5.07/5.96  % (1799161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/5.96  % (1799161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/5.96  % (1799161)CaDiCaL version: 2.1.3
% 5.07/5.96  % (1799161)Termination reason: Instruction limit
% 5.07/5.96  % (1799161)Termination phase: shuffling
% 5.07/5.96  % (1799161)Time elapsed: 0.005 s
% 5.07/5.96  % (1799161)Peak memory usage: 25 MB
% 5.07/5.96  % (1799161)Instructions burned: 5 (million)
% 5.07/6.01  % (1799160)Instruction limit reached! 
% 5.07/6.01  % (1799160)------------------------------
% 5.07/6.01  % (1799160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/6.01  % (1799160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/6.01  % (1799160)CaDiCaL version: 2.1.3
% 5.07/6.01  % (1799160)Termination reason: Instruction limit
% 5.07/6.01  % (1799160)Termination phase: shuffling
% 5.07/6.01  % (1799160)Time elapsed: 0.003 s
% 5.07/6.01  % (1799160)Peak memory usage: 25 MB
% 5.07/6.01  % (1799160)Instructions burned: 2 (million)
% 5.07/6.01  % (1799163)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.07/6.01  % (1799165)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2801853673:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/12Mi)
% 5.07/6.01  % (1799163)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2032031535:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2992 on theBenchmark for (2992ds/7Mi)
% 5.07/6.01  % (1799151)Instruction limit reached! 
% 5.07/6.01  % (1799151)------------------------------
% 5.07/6.01  % (1799151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/6.01  % (1799151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/6.01  % (1799151)CaDiCaL version: 2.1.3
% 5.07/6.01  % (1799151)Termination reason: Instruction limit
% 5.07/6.01  % (1799151)Termination phase: shuffling
% 5.07/6.01  % (1799151)Time elapsed: 0.046 s
% 5.07/6.01  % (1799151)Peak memory usage: 27 MB
% 5.07/6.01  % (1799151)Instructions burned: 77 (million)
% 5.07/6.01  % (1799166)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
% 5.07/6.01  % (1799166)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.07/6.01  % (1799166)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=358305356:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2992 on theBenchmark for (2992ds/28Mi)
% 5.07/6.01  % (1799165)Instruction limit reached! 
% 5.07/6.01  % (1799165)------------------------------
% 5.07/6.01  % (1799165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/6.01  % (1799165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/6.01  % (1799165)CaDiCaL version: 2.1.3
% 5.07/6.01  % (1799165)Termination reason: Instruction limit
% 5.07/6.01  % (1799165)Termination phase: shuffling
% 5.07/6.01  % (1799165)Time elapsed: 0.012 s
% 5.07/6.01  % (1799165)Peak memory usage: 26 MB
% 5.07/6.01  % (1799165)Instructions burned: 14 (million)
% 5.07/6.01  % (1799146)Instruction limit reached! 
% 5.07/6.01  % (1799146)------------------------------
% 5.07/6.01  % (1799146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/6.01  % (1799146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/6.01  % (1799146)CaDiCaL version: 2.1.3
% 5.07/6.01  % (1799146)Termination reason: Instruction limit
% 5.07/6.01  % (1799146)Termination phase: shuffling
% 5.07/6.01  % (1799146)Time elapsed: 0.054 s
% 5.07/6.01  % (1799146)Peak memory usage: 27 MB
% 5.07/6.01  % (1799146)Instructions burned: 88 (million)
% 5.07/6.01  % (1799163)Instruction limit reached! 
% 5.07/6.01  % (1799163)------------------------------
% 5.07/6.01  % (1799163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/6.01  % (1799163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/6.01  % (1799163)CaDiCaL version: 2.1.3
% 5.07/6.01  % (1799163)Termination reason: Instruction limit
% 5.07/6.01  % (1799163)Termination phase: shuffling
% 5.07/6.01  % (1799163)Time elapsed: 0.012 s
% 5.07/6.01  % (1799163)Peak memory usage: 25 MB
% 5.07/6.01  % (1799163)Instructions burned: 7 (million)
% 5.07/6.01  % (1799171)lrs+10_1_si=on:cs=on:random_seed=1537496640:i=8:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/8Mi)
% 5.07/6.01  % (1799169)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=570475148:i=86:piset=equals:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/86Mi)
% 5.07/6.01  % (1799172)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 7.14/6.05  % (1799171)Instruction limit reached! 
% 7.14/6.05  % (1799171)------------------------------
% 7.14/6.05  % (1799171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.05  % (1799171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.05  % (1799171)CaDiCaL version: 2.1.3
% 7.14/6.05  % (1799171)Termination reason: Instruction limit
% 7.14/6.05  % (1799171)Termination phase: shuffling
% 7.14/6.05  % (1799171)Time elapsed: 0.008 s
% 7.14/6.05  % (1799171)Peak memory usage: 25 MB
% 7.14/6.05  % (1799171)Instructions burned: 8 (million)
% 7.14/6.05  % (1799172)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=3875929781:i=2:add=on:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 7.14/6.05  % (1799166)Instruction limit reached! 
% 7.14/6.05  % (1799166)------------------------------
% 7.14/6.05  % (1799166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.05  % (1799166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.05  % (1799166)CaDiCaL version: 2.1.3
% 7.14/6.05  % (1799166)Termination reason: Instruction limit
% 7.14/6.05  % (1799166)Termination phase: shuffling
% 7.14/6.05  % (1799166)Time elapsed: 0.026 s
% 7.14/6.05  % (1799166)Peak memory usage: 26 MB
% 7.14/6.05  % (1799166)Instructions burned: 28 (million)
% 7.14/6.05  % (1799173)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1176819393:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/38Mi)
% 7.14/6.05  % (1799172)Instruction limit reached! 
% 7.14/6.05  % (1799172)------------------------------
% 7.14/6.05  % (1799172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.05  % (1799172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.05  % (1799172)CaDiCaL version: 2.1.3
% 7.14/6.05  % (1799172)Termination reason: Instruction limit
% 7.14/6.05  % (1799172)Termination phase: shuffling
% 7.14/6.05  % (1799172)Time elapsed: 0.003 s
% 7.14/6.05  % (1799172)Peak memory usage: 25 MB
% 7.14/6.05  % (1799172)Instructions burned: 2 (million)
% 7.14/6.05  % (1799152)Instruction limit reached! 
% 7.14/6.05  % (1799152)------------------------------
% 7.14/6.05  % (1799152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.05  % (1799152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.05  % (1799152)CaDiCaL version: 2.1.3
% 7.14/6.05  % (1799152)Termination reason: Instruction limit
% 7.14/6.05  % (1799152)Termination phase: shuffling
% 7.14/6.05  % (1799152)Time elapsed: 0.080 s
% 7.14/6.05  % (1799152)Peak memory usage: 28 MB
% 7.14/6.05  % (1799152)Instructions burned: 158 (million)
% 7.14/6.05  % (1799176)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=867586570:st=2:i=249:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/249Mi)
% 7.14/6.05  % (1799179)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3543741807:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/25Mi)
% 7.14/6.05  % (1799180)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1333516242:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2991 on theBenchmark for (2991ds/14Mi)
% 7.14/6.05  % (1799181)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1154336925:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/327Mi)
% 7.14/6.05  % (1799173)Instruction limit reached! 
% 7.14/6.05  % (1799173)------------------------------
% 7.14/6.05  % (1799173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.05  % (1799173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.05  % (1799173)CaDiCaL version: 2.1.3
% 7.14/6.05  % (1799173)Termination reason: Instruction limit
% 7.14/6.05  % (1799173)Termination phase: shuffling
% 7.14/6.05  % (1799173)Time elapsed: 0.030 s
% 7.14/6.05  % (1799173)Peak memory usage: 26 MB
% 7.14/6.05  % (1799173)Instructions burned: 39 (million)
% 7.14/6.05  % (1799180)Instruction limit reached! 
% 7.14/6.05  % (1799180)------------------------------
% 7.14/6.05  % (1799180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.05  % (1799180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.05  % (1799180)CaDiCaL version: 2.1.3
% 7.14/6.11  % (1799180)Termination reason: Instruction limit
% 7.14/6.11  % (1799180)Termination phase: shuffling
% 7.14/6.11  % (1799180)Time elapsed: 0.018 s
% 7.14/6.11  % (1799180)Peak memory usage: 27 MB
% 7.14/6.11  % (1799180)Instructions burned: 14 (million)
% 7.14/6.11  % (1799169)Instruction limit reached! 
% 7.14/6.11  % (1799169)------------------------------
% 7.14/6.11  % (1799169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.11  % (1799169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.11  % (1799169)CaDiCaL version: 2.1.3
% 7.14/6.11  % (1799169)Termination reason: Instruction limit
% 7.14/6.11  % (1799169)Termination phase: shuffling
% 7.14/6.11  % (1799169)Time elapsed: 0.052 s
% 7.14/6.11  % (1799169)Peak memory usage: 27 MB
% 7.14/6.11  % (1799169)Instructions burned: 87 (million)
% 7.14/6.11  % (1799179)Instruction limit reached! 
% 7.14/6.11  % (1799179)------------------------------
% 7.14/6.11  % (1799179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.11  % (1799179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.11  % (1799179)CaDiCaL version: 2.1.3
% 7.14/6.11  % (1799179)Termination reason: Instruction limit
% 7.14/6.11  % (1799179)Termination phase: shuffling
% 7.14/6.11  % (1799179)Time elapsed: 0.025 s
% 7.14/6.11  % (1799179)Peak memory usage: 26 MB
% 7.14/6.11  % (1799179)Instructions burned: 26 (million)
% 7.14/6.11  % (1799186)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3411162770:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/14Mi)
% 7.14/6.11  % (1799187)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1844997901:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2991 on theBenchmark for (2991ds/2Mi)
% 7.14/6.11  % (1799188)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1627388404:i=26:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/26Mi)
% 7.14/6.11  % (1799187)Instruction limit reached! 
% 7.14/6.11  % (1799187)------------------------------
% 7.14/6.11  % (1799187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.11  % (1799187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.11  % (1799187)CaDiCaL version: 2.1.3
% 7.14/6.11  % (1799187)Termination reason: Instruction limit
% 7.14/6.11  % (1799187)Termination phase: shuffling
% 7.14/6.11  % (1799187)Time elapsed: 0.003 s
% 7.14/6.11  % (1799187)Peak memory usage: 25 MB
% 7.14/6.11  % (1799187)Instructions burned: 2 (million)
% 7.14/6.11  % (1799189)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=508615109:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 7.14/6.11  % (1799186)Instruction limit reached! 
% 7.14/6.11  % (1799186)------------------------------
% 7.14/6.11  % (1799186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.11  % (1799186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.11  % (1799186)CaDiCaL version: 2.1.3
% 7.14/6.11  % (1799186)Termination reason: Instruction limit
% 7.14/6.11  % (1799186)Termination phase: shuffling
% 7.14/6.11  % (1799186)Time elapsed: 0.018 s
% 7.14/6.11  % (1799186)Peak memory usage: 27 MB
% 7.14/6.11  % (1799186)Instructions burned: 14 (million)
% 7.14/6.11  % (1799176)Instruction limit reached! 
% 7.14/6.11  % (1799176)------------------------------
% 7.14/6.11  % (1799176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/6.11  % (1799176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/6.11  % (1799176)CaDiCaL version: 2.1.3
% 7.14/6.11  % (1799176)Termination reason: Instruction limit
% 7.14/6.11  % (1799176)Termination phase: shuffling
% 7.14/6.11  % (1799176)Time elapsed: 0.070 s
% 7.14/6.11  % (1799176)Peak memory usage: 29 MB
% 7.14/6.11  % (1799176)Instructions burned: 257 (million)
% 7.14/6.11  % (1799194)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=847162314:cond=on:i=60:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/60Mi)
% 7.14/6.11  % (1799195)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
% 7.14/6.11  % (1799195)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 7.42/6.17  % (1799189)Instruction limit reached! 
% 7.42/6.17  % (1799189)------------------------------
% 7.42/6.17  % (1799189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/6.17  % (1799189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/6.17  % (1799189)CaDiCaL version: 2.1.3
% 7.42/6.17  % (1799189)Termination reason: Instruction limit
% 7.42/6.17  % (1799189)Termination phase: shuffling
% 7.42/6.17  % (1799189)Time elapsed: 0.023 s
% 7.42/6.17  % (1799189)Peak memory usage: 26 MB
% 7.42/6.17  % (1799189)Instructions burned: 24 (million)
% 7.42/6.17  % (1799188)Instruction limit reached! 
% 7.42/6.17  % (1799188)------------------------------
% 7.42/6.17  % (1799188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/6.17  % (1799188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/6.17  % (1799188)CaDiCaL version: 2.1.3
% 7.42/6.17  % (1799188)Termination reason: Instruction limit
% 7.42/6.17  % (1799188)Termination phase: shuffling
% 7.42/6.17  % (1799188)Time elapsed: 0.026 s
% 7.42/6.17  % (1799188)Peak memory usage: 26 MB
% 7.42/6.17  % (1799188)Instructions burned: 27 (million)
% 7.42/6.17  % (1799196)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 7.42/6.17  % (1799196)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=2254319516:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2991 on theBenchmark for (2991ds/8Mi)
% 7.42/6.17  % (1799195)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=1236791953:i=14:add=off:nm=40:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/14Mi)
% 7.42/6.17  % (1799196)Instruction limit reached! 
% 7.42/6.17  % (1799196)------------------------------
% 7.42/6.17  % (1799196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/6.17  % (1799196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/6.17  % (1799196)CaDiCaL version: 2.1.3
% 7.42/6.17  % (1799196)Termination reason: Instruction limit
% 7.42/6.17  % (1799196)Termination phase: shuffling
% 7.42/6.17  % (1799196)Time elapsed: 0.008 s
% 7.42/6.17  % (1799196)Peak memory usage: 25 MB
% 7.42/6.17  % (1799196)Instructions burned: 8 (million)
% 7.42/6.17  % (1799198)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=521470462:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/31Mi)
% 7.42/6.17  % (1799199)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1044341068:i=7:hud=5:bd=preordered:rtra=on:bet=on_2990 on theBenchmark for (2990ds/7Mi)
% 7.42/6.17  % (1799195)Instruction limit reached! 
% 7.42/6.17  % (1799195)------------------------------
% 7.42/6.17  % (1799195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/6.17  % (1799195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/6.17  % (1799195)CaDiCaL version: 2.1.3
% 7.42/6.17  % (1799195)Termination reason: Instruction limit
% 7.42/6.17  % (1799195)Termination phase: shuffling
% 7.42/6.17  % (1799195)Time elapsed: 0.019 s
% 7.42/6.17  % (1799195)Peak memory usage: 26 MB
% 7.42/6.17  % (1799195)Instructions burned: 15 (million)
% 7.42/6.17  % (1799202)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=548812169:i=23:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/23Mi)
% 7.42/6.17  % (1799199)Instruction limit reached! 
% 7.42/6.17  % (1799199)------------------------------
% 7.42/6.17  % (1799199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/6.17  % (1799199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/6.17  % (1799199)CaDiCaL version: 2.1.3
% 7.42/6.17  % (1799199)Termination reason: Instruction limit
% 7.42/6.17  % (1799199)Termination phase: shuffling
% 7.42/6.17  % (1799199)Time elapsed: 0.010 s
% 7.42/6.17  % (1799199)Peak memory usage: 25 MB
% 7.42/6.17  % (1799199)Instructions burned: 7 (million)
% 7.42/6.17  % (1799202)Instruction limit reached! 
% 7.42/6.17  % (1799202)------------------------------
% 7.42/6.17  % (1799202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/6.17  % (1799202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/6.17  % (1799202)CaDiCaL version: 2.1.3
% 7.42/6.17  % (1799202)Termination reason: Instruction limit
% 8.04/6.22  % (1799202)Termination phase: shuffling
% 8.04/6.22  % (1799202)Time elapsed: 0.014 s
% 8.04/6.22  % (1799202)Peak memory usage: 26 MB
% 8.04/6.22  % (1799202)Instructions burned: 26 (million)
% 8.04/6.22  % (1799194)Instruction limit reached! 
% 8.04/6.22  % (1799194)------------------------------
% 8.04/6.22  % (1799194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/6.22  % (1799194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/6.22  % (1799194)CaDiCaL version: 2.1.3
% 8.04/6.22  % (1799194)Termination reason: Instruction limit
% 8.04/6.22  % (1799194)Termination phase: shuffling
% 8.04/6.22  % (1799194)Time elapsed: 0.040 s
% 8.04/6.22  % (1799194)Peak memory usage: 27 MB
% 8.04/6.22  % (1799194)Instructions burned: 61 (million)
% 8.04/6.22  % (1799206)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3715625947:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2990 on theBenchmark for (2990ds/20Mi)
% 8.04/6.22  % (1799198)Instruction limit reached! 
% 8.04/6.22  % (1799198)------------------------------
% 8.04/6.22  % (1799198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/6.22  % (1799198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/6.22  % (1799198)CaDiCaL version: 2.1.3
% 8.04/6.22  % (1799198)Termination reason: Instruction limit
% 8.04/6.22  % (1799198)Termination phase: shuffling
% 8.04/6.22  % (1799198)Time elapsed: 0.026 s
% 8.04/6.22  % (1799198)Peak memory usage: 26 MB
% 8.04/6.22  % (1799198)Instructions burned: 31 (million)
% 8.04/6.22  % (1799208)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4030111040:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/143Mi)
% 8.04/6.22  % (1799207)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3061678146:i=1240:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/1240Mi)
% 8.04/6.22  % (1799209)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1830112434:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/193Mi)
% 8.04/6.22  % (1799206)Instruction limit reached! 
% 8.04/6.22  % (1799206)------------------------------
% 8.04/6.22  % (1799206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/6.22  % (1799206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/6.22  % (1799206)CaDiCaL version: 2.1.3
% 8.04/6.22  % (1799206)Termination reason: Instruction limit
% 8.04/6.22  % (1799206)Termination phase: shuffling
% 8.04/6.22  % (1799206)Time elapsed: 0.022 s
% 8.04/6.22  % (1799206)Peak memory usage: 26 MB
% 8.04/6.22  % (1799206)Instructions burned: 20 (million)
% 8.04/6.22  % (1799211)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4088506459:i=42:hud=10:rtra=on_2990 on theBenchmark for (2990ds/42Mi)
% 8.04/6.22  % (1799181)Instruction limit reached! 
% 8.04/6.22  % (1799181)------------------------------
% 8.04/6.22  % (1799181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/6.22  % (1799181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/6.22  % (1799181)CaDiCaL version: 2.1.3
% 8.04/6.22  % (1799181)Termination reason: Instruction limit
% 8.04/6.22  % (1799181)Termination phase: shuffling
% 8.04/6.22  % (1799181)Time elapsed: 0.150 s
% 8.04/6.22  % (1799181)Peak memory usage: 30 MB
% 8.04/6.22  % (1799181)Instructions burned: 328 (million)
% 8.04/6.22  % (1799216)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 8.04/6.22  % (1799216)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2898586991:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2990 on theBenchmark for (2990ds/7Mi)
% 8.04/6.22  % (1799208)Instruction limit reached! 
% 8.04/6.22  % (1799208)------------------------------
% 8.04/6.22  % (1799208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/6.22  % (1799208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/6.22  % (1799208)CaDiCaL version: 2.1.3
% 8.04/6.22  % (1799208)Termination reason: Instruction limit
% 8.04/6.22  % (1799208)Termination phase: shuffling
% 8.04/6.22  % (1799208)Time elapsed: 0.042 s
% 8.04/6.22  % (1799208)Peak memory usage: 28 MB
% 8.04/6.22  % (1799208)Instructions burned: 144 (million)
% 8.04/6.22  % (1799211)Instruction limit reached! 
% 8.04/6.22  % (1799211)------------------------------
% 8.04/6.22  % (1799211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/6.32  % (1799211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/6.32  % (1799211)CaDiCaL version: 2.1.3
% 8.33/6.32  % (1799211)Termination reason: Instruction limit
% 8.33/6.32  % (1799211)Termination phase: shuffling
% 8.33/6.32  % (1799211)Time elapsed: 0.030 s
% 8.33/6.32  % (1799211)Peak memory usage: 26 MB
% 8.33/6.32  % (1799211)Instructions burned: 43 (million)
% 8.33/6.32  % (1799216)Instruction limit reached! 
% 8.33/6.32  % (1799216)------------------------------
% 8.33/6.32  % (1799216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/6.32  % (1799216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/6.32  % (1799216)CaDiCaL version: 2.1.3
% 8.33/6.32  % (1799216)Termination reason: Instruction limit
% 8.33/6.32  % (1799216)Termination phase: shuffling
% 8.33/6.32  % (1799216)Time elapsed: 0.012 s
% 8.33/6.32  % (1799216)Peak memory usage: 25 MB
% 8.33/6.32  % (1799216)Instructions burned: 7 (million)
% 8.33/6.32  % (1799219)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=30262485:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/169Mi)
% 8.33/6.32  % (1799217)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3887292812:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/181Mi)
% 8.33/6.32  % (1799149)Instruction limit reached! 
% 8.33/6.32  % (1799149)------------------------------
% 8.33/6.32  % (1799149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/6.32  % (1799149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/6.32  % (1799149)CaDiCaL version: 2.1.3
% 8.33/6.32  % (1799149)Termination reason: Instruction limit
% 8.33/6.32  % (1799149)Termination phase: shuffling
% 8.33/6.32  % (1799149)Time elapsed: 0.286 s
% 8.33/6.32  % (1799149)Peak memory usage: 27 MB
% 8.33/6.32  % (1799149)Instructions burned: 634 (million)
% 8.33/6.32  % (1799220)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 8.33/6.32  % (1799220)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=742581092:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2989 on theBenchmark for (2989ds/6Mi)
% 8.33/6.32  % (1799221)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=179685361:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 8.33/6.32  % (1799220)Instruction limit reached! 
% 8.33/6.32  % (1799220)------------------------------
% 8.33/6.32  % (1799220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/6.32  % (1799220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/6.32  % (1799220)CaDiCaL version: 2.1.3
% 8.33/6.32  % (1799220)Termination reason: Instruction limit
% 8.33/6.32  % (1799220)Termination phase: shuffling
% 8.33/6.32  % (1799220)Time elapsed: 0.010 s
% 8.33/6.32  % (1799220)Peak memory usage: 25 MB
% 8.33/6.32  % (1799220)Instructions burned: 6 (million)
% 8.33/6.32  % (1799224)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2994600311:i=19:add=on:rtra=on_2989 on theBenchmark for (2989ds/19Mi)
% 8.33/6.33  % (1799221)Instruction limit reached! 
% 8.33/6.33  % (1799221)------------------------------
% 8.33/6.33  % (1799221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/6.33  % (1799221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/6.33  % (1799221)CaDiCaL version: 2.1.3
% 8.33/6.33  % (1799221)Termination reason: Instruction limit
% 8.33/6.33  % (1799221)Termination phase: shuffling
% 8.33/6.33  % (1799221)Time elapsed: 0.023 s
% 8.33/6.33  % (1799221)Peak memory usage: 26 MB
% 8.33/6.33  % (1799221)Instructions burned: 23 (million)
% 8.33/6.33  % (1799227)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=2364903098:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/316Mi)
% 8.33/6.33  % (1799219)Instruction limit reached! 
% 8.33/6.33  % (1799219)------------------------------
% 8.33/6.33  % (1799219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/6.33  % (1799219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/6.43  % (1799219)CaDiCaL version: 2.1.3
% 8.87/6.43  % (1799219)Termination reason: Instruction limit
% 8.87/6.43  % (1799219)Termination phase: shuffling
% 8.87/6.43  % (1799219)Time elapsed: 0.050 s
% 8.87/6.43  % (1799219)Peak memory usage: 28 MB
% 8.87/6.43  % (1799219)Instructions burned: 173 (million)
% 8.87/6.43  % (1799209)Instruction limit reached! 
% 8.87/6.43  % (1799209)------------------------------
% 8.87/6.43  % (1799209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/6.43  % (1799209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/6.43  % (1799209)CaDiCaL version: 2.1.3
% 8.87/6.43  % (1799209)Termination reason: Instruction limit
% 8.87/6.43  % (1799209)Termination phase: shuffling
% 8.87/6.43  % (1799209)Time elapsed: 0.098 s
% 8.87/6.43  % (1799209)Peak memory usage: 29 MB
% 8.87/6.43  % (1799209)Instructions burned: 194 (million)
% 8.87/6.43  % (1799224)Instruction limit reached! 
% 8.87/6.43  % (1799224)------------------------------
% 8.87/6.43  % (1799224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/6.43  % (1799224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/6.43  % (1799224)CaDiCaL version: 2.1.3
% 8.87/6.43  % (1799224)Termination reason: Instruction limit
% 8.87/6.43  % (1799224)Termination phase: shuffling
% 8.87/6.43  % (1799224)Time elapsed: 0.022 s
% 8.87/6.43  % (1799224)Peak memory usage: 26 MB
% 8.87/6.43  % (1799224)Instructions burned: 20 (million)
% 8.87/6.43  % (1799229)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=72150040:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2989 on theBenchmark for (2989ds/853Mi)
% 8.87/6.43  % (1799231)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=2874561188:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2989 on theBenchmark for (2989ds/45Mi)
% 8.87/6.43  % (1799232)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=48019446:i=480:rtra=on_2989 on theBenchmark for (2989ds/480Mi)
% 8.87/6.43  % (1799233)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1183941445:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2989 on theBenchmark for (2989ds/21Mi)
% 8.87/6.43  % (1799231)Instruction limit reached! 
% 8.87/6.43  % (1799231)------------------------------
% 8.87/6.43  % (1799231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/6.43  % (1799231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/6.43  % (1799231)CaDiCaL version: 2.1.3
% 8.87/6.43  % (1799231)Termination reason: Instruction limit
% 8.87/6.43  % (1799231)Termination phase: Property scanning
% 8.87/6.43  % (1799231)Time elapsed: 0.018 s
% 8.87/6.43  % (1799231)Peak memory usage: 26 MB
% 8.87/6.43  % (1799231)Instructions burned: 47 (million)
% 8.87/6.43  % (1799217)Instruction limit reached! 
% 8.87/6.43  % (1799217)------------------------------
% 8.87/6.43  % (1799217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/6.43  % (1799217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/6.43  % (1799217)CaDiCaL version: 2.1.3
% 8.87/6.43  % (1799217)Termination reason: Instruction limit
% 8.87/6.43  % (1799217)Termination phase: shuffling
% 8.87/6.43  % (1799217)Time elapsed: 0.093 s
% 8.87/6.43  % (1799217)Peak memory usage: 28 MB
% 8.87/6.43  % (1799217)Instructions burned: 182 (million)
% 8.87/6.43  % (1799233)Instruction limit reached! 
% 8.87/6.43  % (1799233)------------------------------
% 8.87/6.43  % (1799233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/6.43  % (1799233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/6.43  % (1799233)CaDiCaL version: 2.1.3
% 8.87/6.43  % (1799233)Termination reason: Instruction limit
% 8.87/6.43  % (1799233)Termination phase: shuffling
% 8.87/6.43  % (1799233)Time elapsed: 0.021 s
% 8.87/6.43  % (1799233)Peak memory usage: 26 MB
% 8.87/6.43  % (1799233)Instructions burned: 21 (million)
% 8.87/6.43  % (1799238)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.87/6.43  % (1799238)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1968159106:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/200Mi)
% 9.44/6.59  % (1799240)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=4201795364:i=66:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/66Mi)
% 9.44/6.59  % (1799239)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3257198635:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2988 on theBenchmark for (2988ds/13Mi)
% 9.44/6.59  % (1799239)Instruction limit reached! 
% 9.44/6.59  % (1799239)------------------------------
% 9.44/6.59  % (1799239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/6.59  % (1799239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/6.59  % (1799239)CaDiCaL version: 2.1.3
% 9.44/6.59  % (1799239)Termination reason: Instruction limit
% 9.44/6.59  % (1799239)Termination phase: shuffling
% 9.44/6.59  % (1799239)Time elapsed: 0.018 s
% 9.44/6.59  % (1799239)Peak memory usage: 26 MB
% 9.44/6.59  % (1799239)Instructions burned: 14 (million)
% 9.44/6.59  % (1799240)Instruction limit reached! 
% 9.44/6.59  % (1799240)------------------------------
% 9.44/6.59  % (1799240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/6.59  % (1799240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/6.59  % (1799240)CaDiCaL version: 2.1.3
% 9.44/6.59  % (1799240)Termination reason: Instruction limit
% 9.44/6.59  % (1799240)Termination phase: shuffling
% 9.44/6.59  % (1799240)Time elapsed: 0.024 s
% 9.44/6.59  % (1799240)Peak memory usage: 27 MB
% 9.44/6.59  % (1799240)Instructions burned: 69 (million)
% 9.44/6.59  % (1799244)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2969695269:i=51:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/51Mi)
% 9.44/6.59  % (1799245)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2233066554:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 9.44/6.59  % (1799244)Instruction limit reached! 
% 9.44/6.59  % (1799244)------------------------------
% 9.44/6.59  % (1799244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/6.59  % (1799244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/6.59  % (1799244)CaDiCaL version: 2.1.3
% 9.44/6.59  % (1799244)Termination reason: Instruction limit
% 9.44/6.59  % (1799244)Termination phase: shuffling
% 9.44/6.59  % (1799244)Time elapsed: 0.021 s
% 9.44/6.59  % (1799244)Peak memory usage: 27 MB
% 9.44/6.59  % (1799244)Instructions burned: 53 (million)
% 9.44/6.59  % (1799248)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3984879342:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2988 on theBenchmark for (2988ds/137Mi)
% 9.44/6.59  % (1799245)Instruction limit reached! 
% 9.44/6.59  % (1799245)------------------------------
% 9.44/6.59  % (1799245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/6.59  % (1799245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/6.59  % (1799245)CaDiCaL version: 2.1.3
% 9.44/6.59  % (1799245)Termination reason: Instruction limit
% 9.44/6.59  % (1799245)Termination phase: shuffling
% 9.44/6.59  % (1799245)Time elapsed: 0.027 s
% 9.44/6.59  % (1799245)Peak memory usage: 26 MB
% 9.44/6.59  % (1799245)Instructions burned: 32 (million)
% 9.44/6.59  % (1799238)Instruction limit reached! 
% 9.44/6.59  % (1799238)------------------------------
% 9.44/6.59  % (1799238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/6.59  % (1799238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/6.59  % (1799238)CaDiCaL version: 2.1.3
% 9.44/6.59  % (1799238)Termination reason: Instruction limit
% 9.44/6.59  % (1799238)Termination phase: shuffling
% 9.44/6.59  % (1799238)Time elapsed: 0.101 s
% 9.44/6.59  % (1799238)Peak memory usage: 29 MB
% 9.44/6.59  % (1799238)Instructions burned: 201 (million)
% 9.44/6.59  % (1799227)Instruction limit reached! 
% 9.44/6.59  % (1799227)------------------------------
% 9.44/6.59  % (1799227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/6.59  % (1799227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/6.59  % (1799227)CaDiCaL version: 2.1.3
% 9.44/6.59  % (1799227)Termination reason: Instruction limit
% 9.44/6.59  % (1799227)Termination phase: shuffling
% 9.44/6.59  % (1799227)Time elapsed: 0.156 s
% 9.44/6.59  % (1799227)Peak memory usage: 32 MB
% 9.44/6.59  % (1799227)Instructions burned: 317 (million)
% 9.44/6.59  % (1799250)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=2279608610:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 10.10/6.69  % (1799253)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 10.10/6.69  % (1799248)Instruction limit reached! 
% 10.10/6.69  % (1799248)------------------------------
% 10.10/6.69  % (1799248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/6.69  % (1799248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/6.69  % (1799248)CaDiCaL version: 2.1.3
% 10.10/6.69  % (1799248)Termination reason: Instruction limit
% 10.10/6.69  % (1799248)Termination phase: shuffling
% 10.10/6.69  % (1799248)Time elapsed: 0.041 s
% 10.10/6.69  % (1799248)Peak memory usage: 28 MB
% 10.10/6.69  % (1799248)Instructions burned: 138 (million)
% 10.10/6.69  % (1799253)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3128622627:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2987 on theBenchmark for (2987ds/180Mi)
% 10.10/6.69  % (1799252)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3005243810:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2987 on theBenchmark for (2987ds/67Mi)
% 10.10/6.69  % (1799250)Instruction limit reached! 
% 10.10/6.69  % (1799250)------------------------------
% 10.10/6.69  % (1799250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/6.69  % (1799250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/6.69  % (1799250)CaDiCaL version: 2.1.3
% 10.10/6.69  % (1799250)Termination reason: Instruction limit
% 10.10/6.69  % (1799250)Termination phase: shuffling
% 10.10/6.69  % (1799250)Time elapsed: 0.028 s
% 10.10/6.69  % (1799250)Peak memory usage: 27 MB
% 10.10/6.69  % (1799250)Instructions burned: 34 (million)
% 10.10/6.69  % (1799254)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3642718823:st=2:i=246:sd=3:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/246Mi)
% 10.10/6.69  % (1799258)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2456465592:cond=on:i=96:bd=all:rtra=on_2987 on theBenchmark for (2987ds/96Mi)
% 10.10/6.69  % (1799252)Instruction limit reached! 
% 10.10/6.69  % (1799252)------------------------------
% 10.10/6.69  % (1799252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/6.69  % (1799252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/6.69  % (1799252)CaDiCaL version: 2.1.3
% 10.10/6.69  % (1799252)Termination reason: Instruction limit
% 10.10/6.69  % (1799252)Termination phase: shuffling
% 10.10/6.69  % (1799252)Time elapsed: 0.042 s
% 10.10/6.69  % (1799252)Peak memory usage: 27 MB
% 10.10/6.69  % (1799252)Instructions burned: 68 (million)
% 10.10/6.69  % (1799260)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1391628889:i=427:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/427Mi)
% 10.10/6.69  % (1799232)Instruction limit reached! 
% 10.10/6.69  % (1799232)------------------------------
% 10.10/6.69  % (1799232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/6.69  % (1799232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/6.69  % (1799232)CaDiCaL version: 2.1.3
% 10.10/6.69  % (1799232)Termination reason: Instruction limit
% 10.10/6.69  % (1799232)Termination phase: shuffling
% 10.10/6.69  % (1799232)Time elapsed: 0.222 s
% 10.10/6.69  % (1799232)Peak memory usage: 32 MB
% 10.10/6.69  % (1799232)Instructions burned: 481 (million)
% 10.10/6.69  % (1799254)Instruction limit reached! 
% 10.10/6.69  % (1799254)------------------------------
% 10.10/6.69  % (1799254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/6.69  % (1799254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/6.69  % (1799254)CaDiCaL version: 2.1.3
% 10.10/6.69  % (1799254)Termination reason: Instruction limit
% 10.10/6.69  % (1799254)Termination phase: shuffling
% 10.10/6.69  % (1799254)Time elapsed: 0.065 s
% 10.10/6.69  % (1799254)Peak memory usage: 29 MB
% 10.10/6.69  % (1799254)Instructions burned: 249 (million)
% 10.10/6.69  % (1799263)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3517494572:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/515Mi)
% 10.10/6.69  % (1799258)Instruction limit reached! 
% 10.10/6.69  % (1799258)------------------------------
% 10.10/6.69  % (1799258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/6.69  % (1799258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/6.82  % (1799258)CaDiCaL version: 2.1.3
% 11.76/6.82  % (1799258)Termination reason: Instruction limit
% 11.76/6.82  % (1799258)Termination phase: shuffling
% 11.76/6.82  % (1799258)Time elapsed: 0.057 s
% 11.76/6.82  % (1799258)Peak memory usage: 27 MB
% 11.76/6.82  % (1799258)Instructions burned: 98 (million)
% 11.76/6.82  % (1799253)Instruction limit reached! 
% 11.76/6.82  % (1799253)------------------------------
% 11.76/6.82  % (1799253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/6.82  % (1799262)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2943095468:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/874Mi)
% 11.76/6.82  % (1799253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/6.82  % (1799253)CaDiCaL version: 2.1.3
% 11.76/6.82  % (1799253)Termination reason: Instruction limit
% 11.76/6.82  % (1799253)Termination phase: shuffling
% 11.76/6.82  % (1799253)Time elapsed: 0.092 s
% 11.76/6.82  % (1799253)Peak memory usage: 29 MB
% 11.76/6.82  % (1799253)Instructions burned: 181 (million)
% 11.76/6.82  % (1799265)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4193400603:st=1.5:i=130:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 11.76/6.82  % (1799267)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3300484263:i=44:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/44Mi)
% 11.76/6.82  % (1799267)Instruction limit reached! 
% 11.76/6.82  % (1799267)------------------------------
% 11.76/6.82  % (1799267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/6.82  % (1799267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/6.82  % (1799267)CaDiCaL version: 2.1.3
% 11.76/6.82  % (1799267)Termination reason: Instruction limit
% 11.76/6.82  % (1799267)Termination phase: shuffling
% 11.76/6.82  % (1799267)Time elapsed: 0.032 s
% 11.76/6.82  % (1799267)Peak memory usage: 27 MB
% 11.76/6.82  % (1799267)Instructions burned: 46 (million)
% 11.76/6.82  % (1799270)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=294009031:s2a=on:i=571:nm=16:rtra=on_2986 on theBenchmark for (2986ds/571Mi)
% 11.76/6.82  % (1799265)Instruction limit reached! 
% 11.76/6.82  % (1799265)------------------------------
% 11.76/6.82  % (1799265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/6.82  % (1799265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/6.82  % (1799265)CaDiCaL version: 2.1.3
% 11.76/6.82  % (1799265)Termination reason: Instruction limit
% 11.76/6.82  % (1799265)Termination phase: shuffling
% 11.76/6.82  % (1799265)Time elapsed: 0.071 s
% 11.76/6.82  % (1799265)Peak memory usage: 28 MB
% 11.76/6.82  % (1799265)Instructions burned: 132 (million)
% 11.76/6.82  % (1799272)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3586144986:i=450:rtra=on:ixr=off:ntd=on_2985 on theBenchmark for (2985ds/450Mi)
% 11.76/6.82  % (1799229)Instruction limit reached! 
% 11.76/6.82  % (1799229)------------------------------
% 11.76/6.82  % (1799229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/6.82  % (1799229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/6.82  % (1799229)CaDiCaL version: 2.1.3
% 11.76/6.82  % (1799229)Termination reason: Instruction limit
% 11.76/6.82  % (1799229)Termination phase: shuffling
% 11.76/6.82  % (1799229)Time elapsed: 0.375 s
% 11.76/6.82  % (1799229)Peak memory usage: 30 MB
% 11.76/6.82  % (1799229)Instructions burned: 855 (million)
% 11.76/6.82  % (1799263)Instruction limit reached! 
% 11.76/6.82  % (1799263)------------------------------
% 11.76/6.82  % (1799263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/6.82  % (1799263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/6.82  % (1799263)CaDiCaL version: 2.1.3
% 11.76/6.82  % (1799263)Termination reason: Instruction limit
% 11.76/6.82  % (1799263)Termination phase: shuffling
% 11.76/6.82  % (1799263)Time elapsed: 0.132 s
% 11.76/6.82  % (1799263)Peak memory usage: 33 MB
% 11.76/6.82  % (1799263)Instructions burned: 519 (million)
% 11.76/6.82  % (1799274)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1196130814:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/95Mi)
% 11.76/6.82  % (1799275)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=3768283748:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2985 on theBenchmark for (2985ds/65Mi)
% 12.56/6.90  % (1799260)Instruction limit reached! 
% 12.56/6.90  % (1799260)------------------------------
% 12.56/6.90  % (1799260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/6.90  % (1799260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/6.90  % (1799260)CaDiCaL version: 2.1.3
% 12.56/6.90  % (1799260)Termination reason: Instruction limit
% 12.56/6.90  % (1799260)Termination phase: shuffling
% 12.56/6.90  % (1799260)Time elapsed: 0.199 s
% 12.56/6.90  % (1799260)Peak memory usage: 31 MB
% 12.56/6.90  % (1799260)Instructions burned: 428 (million)
% 12.56/6.90  % (1799275)Instruction limit reached! 
% 12.56/6.90  % (1799275)------------------------------
% 12.56/6.90  % (1799275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/6.90  % (1799275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/6.90  % (1799275)CaDiCaL version: 2.1.3
% 12.56/6.90  % (1799275)Termination reason: Instruction limit
% 12.56/6.90  % (1799275)Termination phase: shuffling
% 12.56/6.90  % (1799275)Time elapsed: 0.040 s
% 12.56/6.90  % (1799275)Peak memory usage: 27 MB
% 12.56/6.90  % (1799275)Instructions burned: 66 (million)
% 12.56/6.90  % (1799278)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=2194177957: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_2984 on theBenchmark for (2984ds/105Mi)
% 12.56/6.90  % (1799274)Instruction limit reached! 
% 12.56/6.90  % (1799274)------------------------------
% 12.56/6.90  % (1799274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/6.90  % (1799274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/6.90  % (1799274)CaDiCaL version: 2.1.3
% 12.56/6.90  % (1799274)Termination reason: Instruction limit
% 12.56/6.90  % (1799274)Termination phase: shuffling
% 12.56/6.90  % (1799274)Time elapsed: 0.053 s
% 12.56/6.90  % (1799274)Peak memory usage: 27 MB
% 12.56/6.90  % (1799274)Instructions burned: 97 (million)
% 12.56/6.90  % (1799280)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=4098802910:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2984 on theBenchmark for (2984ds/5755Mi)
% 12.56/6.90  % (1799207)Instruction limit reached! 
% 12.56/6.90  % (1799207)------------------------------
% 12.56/6.90  % (1799207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/6.90  % (1799207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/6.90  % (1799207)CaDiCaL version: 2.1.3
% 12.56/6.90  % (1799207)Termination reason: Instruction limit
% 12.56/6.90  % (1799207)Termination phase: shuffling
% 12.56/6.90  % (1799207)Time elapsed: 0.581 s
% 12.56/6.90  % (1799207)Peak memory usage: 50 MB
% 12.56/6.90  % (1799207)Instructions burned: 1242 (million)
% 12.56/6.90  % (1799281)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2956970403:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/375Mi)
% 12.56/6.90  % (1799278)Instruction limit reached! 
% 12.56/6.90  % (1799278)------------------------------
% 12.56/6.90  % (1799278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/6.90  % (1799278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/6.90  % (1799278)CaDiCaL version: 2.1.3
% 12.56/6.90  % (1799278)Termination reason: Instruction limit
% 12.56/6.90  % (1799278)Termination phase: shuffling
% 12.56/6.90  % (1799278)Time elapsed: 0.034 s
% 12.56/6.90  % (1799278)Peak memory usage: 28 MB
% 12.56/6.90  % (1799278)Instructions burned: 107 (million)
% 12.56/6.90  % (1799285)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=3252515781:cond=on:i=34:hud=10:nm=10:rtra=on_2984 on theBenchmark for (2984ds/34Mi)
% 12.56/6.90  % (1799283)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3357418755:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/495Mi)
% 12.56/6.90  % (1799285)Instruction limit reached! 
% 12.56/6.90  % (1799285)------------------------------
% 12.56/6.90  % (1799285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/6.90  % (1799285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/7.06  % (1799285)CaDiCaL version: 2.1.3
% 14.23/7.06  % (1799285)Termination reason: Instruction limit
% 14.23/7.06  % (1799285)Termination phase: shuffling
% 14.23/7.06  % (1799285)Time elapsed: 0.017 s
% 14.23/7.06  % (1799285)Peak memory usage: 27 MB
% 14.23/7.06  % (1799285)Instructions burned: 37 (million)
% 14.23/7.06  % (1799288)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2120986762:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/91Mi)
% 14.23/7.06  % (1799288)Instruction limit reached! 
% 14.23/7.06  % (1799288)------------------------------
% 14.23/7.06  % (1799288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.23/7.06  % (1799288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/7.06  % (1799288)CaDiCaL version: 2.1.3
% 14.23/7.06  % (1799288)Termination reason: Instruction limit
% 14.23/7.06  % (1799288)Termination phase: shuffling
% 14.23/7.06  % (1799288)Time elapsed: 0.030 s
% 14.23/7.06  % (1799288)Peak memory usage: 27 MB
% 14.23/7.06  % (1799288)Instructions burned: 93 (million)
% 14.23/7.06  % (1799290)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=232223823:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2983 on theBenchmark for (2983ds/66Mi)
% 14.23/7.06  % (1799272)Instruction limit reached! 
% 14.23/7.06  % (1799272)------------------------------
% 14.23/7.06  % (1799272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.23/7.06  % (1799272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/7.06  % (1799272)CaDiCaL version: 2.1.3
% 14.23/7.06  % (1799272)Termination reason: Instruction limit
% 14.23/7.06  % (1799272)Termination phase: shuffling
% 14.23/7.06  % (1799272)Time elapsed: 0.208 s
% 14.23/7.06  % (1799272)Peak memory usage: 32 MB
% 14.23/7.06  % (1799272)Instructions burned: 451 (million)
% 14.23/7.06  % (1799270)Instruction limit reached! 
% 14.23/7.06  % (1799270)------------------------------
% 14.23/7.06  % (1799270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.23/7.06  % (1799270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/7.06  % (1799270)CaDiCaL version: 2.1.3
% 14.23/7.06  % (1799270)Termination reason: Instruction limit
% 14.23/7.06  % (1799270)Termination phase: shuffling
% 14.23/7.06  % (1799270)Time elapsed: 0.256 s
% 14.23/7.06  % (1799270)Peak memory usage: 34 MB
% 14.23/7.06  % (1799270)Instructions burned: 572 (million)
% 14.23/7.06  % (1799290)Instruction limit reached! 
% 14.23/7.06  % (1799290)------------------------------
% 14.23/7.06  % (1799290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.23/7.06  % (1799290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/7.06  % (1799290)CaDiCaL version: 2.1.3
% 14.23/7.06  % (1799290)Termination reason: Instruction limit
% 14.23/7.06  % (1799290)Termination phase: shuffling
% 14.23/7.06  % (1799290)Time elapsed: 0.024 s
% 14.23/7.06  % (1799290)Peak memory usage: 27 MB
% 14.23/7.06  % (1799290)Instructions burned: 69 (million)
% 14.23/7.06  % (1799292)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=890329177:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2983 on theBenchmark for (2983ds/22Mi)
% 14.23/7.06  % (1799293)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=514453922:i=338:bd=all:ins=4:rtra=on_2983 on theBenchmark for (2983ds/338Mi)
% 14.23/7.06  % (1799294)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3664618331:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/28Mi)
% 14.23/7.06  % (1799292)Instruction limit reached! 
% 14.23/7.06  % (1799292)------------------------------
% 14.23/7.06  % (1799292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.23/7.06  % (1799292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/7.06  % (1799292)CaDiCaL version: 2.1.3
% 14.23/7.06  % (1799292)Termination reason: Instruction limit
% 14.23/7.06  % (1799292)Termination phase: shuffling
% 14.23/7.06  % (1799292)Time elapsed: 0.022 s
% 14.23/7.06  % (1799292)Peak memory usage: 26 MB
% 14.23/7.06  % (1799292)Instructions burned: 23 (million)
% 14.23/7.06  % (1799294)Instruction limit reached! 
% 14.23/7.06  % (1799294)------------------------------
% 14.23/7.06  % (1799294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.23/7.06  % (1799294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/7.27  % (1799294)CaDiCaL version: 2.1.3
% 15.22/7.27  % (1799294)Termination reason: Instruction limit
% 15.22/7.27  % (1799294)Termination phase: shuffling
% 15.22/7.27  % (1799294)Time elapsed: 0.023 s
% 15.22/7.27  % (1799294)Peak memory usage: 26 MB
% 15.22/7.27  % (1799294)Instructions burned: 29 (million)
% 15.22/7.27  % (1799298)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 15.22/7.27  % (1799262)Instruction limit reached! 
% 15.22/7.27  % (1799262)------------------------------
% 15.22/7.27  % (1799262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/7.27  % (1799262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/7.27  % (1799262)CaDiCaL version: 2.1.3
% 15.22/7.27  % (1799262)Termination reason: Instruction limit
% 15.22/7.27  % (1799262)Termination phase: shuffling
% 15.22/7.27  % (1799262)Time elapsed: 0.387 s
% 15.22/7.27  % (1799262)Peak memory usage: 37 MB
% 15.22/7.27  % (1799262)Instructions burned: 874 (million)
% 15.22/7.27  % (1799298)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1798753522:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/137Mi)
% 15.22/7.27  % (1799281)Instruction limit reached! 
% 15.22/7.27  % (1799281)------------------------------
% 15.22/7.27  % (1799281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/7.27  % (1799281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/7.27  % (1799281)CaDiCaL version: 2.1.3
% 15.22/7.27  % (1799281)Termination reason: Instruction limit
% 15.22/7.27  % (1799281)Termination phase: shuffling
% 15.22/7.27  % (1799281)Time elapsed: 0.176 s
% 15.22/7.27  % (1799281)Peak memory usage: 31 MB
% 15.22/7.27  % (1799281)Instructions burned: 376 (million)
% 15.22/7.27  % (1799299)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=1578577657:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2982 on theBenchmark for (2982ds/340Mi)
% 15.22/7.27  % (1799302)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 15.22/7.27  % (1799301)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=212370727:i=227:sd=1:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/227Mi)
% 15.22/7.27  % (1799302)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=152859931:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/373Mi)
% 15.22/7.27  % (1799293)Instruction limit reached! 
% 15.22/7.27  % (1799293)------------------------------
% 15.22/7.27  % (1799293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/7.27  % (1799293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/7.27  % (1799293)CaDiCaL version: 2.1.3
% 15.22/7.27  % (1799293)Termination reason: Instruction limit
% 15.22/7.27  % (1799293)Termination phase: shuffling
% 15.22/7.27  % (1799293)Time elapsed: 0.092 s
% 15.22/7.27  % (1799293)Peak memory usage: 33 MB
% 15.22/7.27  % (1799293)Instructions burned: 340 (million)
% 15.22/7.27  % (1799306)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2822771873:i=116:ep=RSTC:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/116Mi)
% 15.22/7.27  % (1799283)Instruction limit reached! 
% 15.22/7.27  % (1799283)------------------------------
% 15.22/7.27  % (1799283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/7.27  % (1799283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/7.27  % (1799283)CaDiCaL version: 2.1.3
% 15.22/7.27  % (1799283)Termination reason: Instruction limit
% 15.22/7.27  % (1799283)Termination phase: shuffling
% 15.22/7.27  % (1799283)Time elapsed: 0.225 s
% 15.22/7.27  % (1799283)Peak memory usage: 32 MB
% 15.22/7.27  % (1799283)Instructions burned: 497 (million)
% 15.22/7.27  % (1799298)Instruction limit reached! 
% 15.22/7.27  % (1799298)------------------------------
% 15.22/7.27  % (1799298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/7.27  % (1799298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/7.27  % (1799298)CaDiCaL version: 2.1.3
% 15.22/7.27  % (1799298)Termination reason: Instruction limit
% 15.22/7.27  % (1799298)Termination phase: shuffling
% 15.22/7.27  % (1799298)Time elapsed: 0.074 s
% 15.22/7.27  % (1799298)Peak memory usage: 28 MB
% 15.22/7.27  % (1799298)Instructions burned: 139 (million)
% 16.57/7.56  % (1799308)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1838735878:i=575:rtra=on_2982 on theBenchmark for (2982ds/575Mi)
% 16.57/7.56  % (1799309)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4009886277:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2982 on theBenchmark for (2982ds/270Mi)
% 16.57/7.56  % (1799306)Instruction limit reached! 
% 16.57/7.56  % (1799306)------------------------------
% 16.57/7.56  % (1799306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.57/7.56  % (1799306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/7.56  % (1799306)CaDiCaL version: 2.1.3
% 16.57/7.56  % (1799306)Termination reason: Instruction limit
% 16.57/7.56  % (1799306)Termination phase: shuffling
% 16.57/7.56  % (1799306)Time elapsed: 0.035 s
% 16.57/7.56  % (1799306)Peak memory usage: 28 MB
% 16.57/7.56  % (1799306)Instructions burned: 120 (million)
% 16.57/7.56  % (1799312)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=2795350692: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_2981 on theBenchmark for (2981ds/9840Mi)
% 16.57/7.56  % (1799301)Instruction limit reached! 
% 16.57/7.56  % (1799301)------------------------------
% 16.57/7.56  % (1799301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.57/7.56  % (1799301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/7.56  % (1799301)CaDiCaL version: 2.1.3
% 16.57/7.56  % (1799301)Termination reason: Instruction limit
% 16.57/7.56  % (1799301)Termination phase: shuffling
% 16.57/7.56  % (1799301)Time elapsed: 0.112 s
% 16.57/7.56  % (1799301)Peak memory usage: 29 MB
% 16.57/7.56  % (1799301)Instructions burned: 228 (million)
% 16.57/7.56  % (1799314)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2244455374:i=421:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/421Mi)
% 16.57/7.56  % (1799299)Instruction limit reached! 
% 16.57/7.56  % (1799299)------------------------------
% 16.57/7.56  % (1799299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.57/7.56  % (1799299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/7.56  % (1799299)CaDiCaL version: 2.1.3
% 16.57/7.56  % (1799299)Termination reason: Instruction limit
% 16.57/7.56  % (1799299)Termination phase: shuffling
% 16.57/7.56  % (1799299)Time elapsed: 0.166 s
% 16.57/7.56  % (1799299)Peak memory usage: 33 MB
% 16.57/7.56  % (1799299)Instructions burned: 341 (million)
% 16.57/7.56  % (1799316)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
% 16.57/7.56  % (1799316)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=3670377158:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/270Mi)
% 16.57/7.56  % (1799302)Instruction limit reached! 
% 16.57/7.56  % (1799302)------------------------------
% 16.57/7.56  % (1799302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.57/7.56  % (1799302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/7.56  % (1799302)CaDiCaL version: 2.1.3
% 16.57/7.56  % (1799302)Termination reason: Instruction limit
% 16.57/7.56  % (1799302)Termination phase: shuffling
% 16.57/7.56  % (1799302)Time elapsed: 0.181 s
% 16.57/7.56  % (1799302)Peak memory usage: 33 MB
% 16.57/7.56  % (1799302)Instructions burned: 374 (million)
% 16.57/7.56  % (1799309)Instruction limit reached! 
% 16.57/7.56  % (1799309)------------------------------
% 16.57/7.56  % (1799309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.57/7.56  % (1799309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/7.56  % (1799309)CaDiCaL version: 2.1.3
% 16.57/7.56  % (1799309)Termination reason: Instruction limit
% 16.57/7.56  % (1799309)Termination phase: shuffling
% 16.57/7.56  % (1799309)Time elapsed: 0.134 s
% 16.57/7.56  % (1799309)Peak memory usage: 32 MB
% 16.57/7.56  % (1799309)Instructions burned: 270 (million)
% 16.57/7.56  % (1799318)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3840911647:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/31Mi)
% 17.51/7.79  % (1799320)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 17.51/7.79  % (1799320)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
% 17.51/7.79  % (1799320)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=967016357:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2980 on theBenchmark for (2980ds/1440Mi)
% 17.51/7.79  % (1799318)Instruction limit reached! 
% 17.51/7.79  % (1799318)------------------------------
% 17.51/7.79  % (1799318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/7.79  % (1799318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/7.79  % (1799318)CaDiCaL version: 2.1.3
% 17.51/7.79  % (1799318)Termination reason: Instruction limit
% 17.51/7.79  % (1799318)Termination phase: shuffling
% 17.51/7.79  % (1799318)Time elapsed: 0.027 s
% 17.51/7.79  % (1799318)Peak memory usage: 26 MB
% 17.51/7.79  % (1799318)Instructions burned: 31 (million)
% 17.51/7.79  % (1799322)dis+10_2_sil=128000:si=on:random_seed=1038131067:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2980 on theBenchmark for (2980ds/339Mi)
% 17.51/7.79  % (1799316)Instruction limit reached! 
% 17.51/7.79  % (1799316)------------------------------
% 17.51/7.79  % (1799316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/7.79  % (1799316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/7.79  % (1799316)CaDiCaL version: 2.1.3
% 17.51/7.79  % (1799316)Termination reason: Instruction limit
% 17.51/7.79  % (1799316)Termination phase: shuffling
% 17.51/7.79  % (1799316)Time elapsed: 0.129 s
% 17.51/7.79  % (1799316)Peak memory usage: 30 MB
% 17.51/7.79  % (1799316)Instructions burned: 270 (million)
% 17.51/7.79  % (1799324)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=84040496:i=111:add=on:fgj=on:rtra=on:fdi=1024_2979 on theBenchmark for (2979ds/111Mi)
% 17.51/7.79  % (1799314)Instruction limit reached! 
% 17.51/7.79  % (1799314)------------------------------
% 17.51/7.79  % (1799314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/7.79  % (1799314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/7.79  % (1799314)CaDiCaL version: 2.1.3
% 17.51/7.79  % (1799314)Termination reason: Instruction limit
% 17.51/7.79  % (1799314)Termination phase: shuffling
% 17.51/7.79  % (1799314)Time elapsed: 0.197 s
% 17.51/7.79  % (1799314)Peak memory usage: 31 MB
% 17.51/7.79  % (1799314)Instructions burned: 423 (million)
% 17.51/7.79  % (1799308)Instruction limit reached! 
% 17.51/7.79  % (1799308)------------------------------
% 17.51/7.79  % (1799308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/7.79  % (1799308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/7.79  % (1799308)CaDiCaL version: 2.1.3
% 17.51/7.79  % (1799308)Termination reason: Instruction limit
% 17.51/7.79  % (1799308)Termination phase: shuffling
% 17.51/7.79  % (1799308)Time elapsed: 0.263 s
% 17.51/7.79  % (1799308)Peak memory usage: 33 MB
% 17.51/7.79  % (1799308)Instructions burned: 577 (million)
% 17.51/7.79  % (1799326)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=1515958141:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/122Mi)
% 17.51/7.79  % (1799327)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=3742267275:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/136Mi)
% 17.51/7.79  % (1799324)Instruction limit reached! 
% 17.51/7.79  % (1799324)------------------------------
% 17.51/7.79  % (1799324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/7.79  % (1799324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/7.79  % (1799324)CaDiCaL version: 2.1.3
% 17.51/7.79  % (1799324)Termination reason: Instruction limit
% 17.51/7.79  % (1799324)Termination phase: shuffling
% 17.51/7.79  % (1799324)Time elapsed: 0.062 s
% 17.51/7.79  % (1799324)Peak memory usage: 28 MB
% 17.51/7.79  % (1799324)Instructions burned: 112 (million)
% 17.51/7.79  % (1799330)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2117027288:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/232Mi)
% 20.23/7.96  % (1799322)Instruction limit reached! 
% 20.23/7.96  % (1799322)------------------------------
% 20.23/7.96  % (1799322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/7.96  % (1799322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/7.96  % (1799322)CaDiCaL version: 2.1.3
% 20.23/7.96  % (1799322)Termination reason: Instruction limit
% 20.23/7.96  % (1799322)Termination phase: shuffling
% 20.23/7.96  % (1799322)Time elapsed: 0.157 s
% 20.23/7.96  % (1799322)Peak memory usage: 30 MB
% 20.23/7.96  % (1799322)Instructions burned: 341 (million)
% 20.23/7.96  % (1799326)Instruction limit reached! 
% 20.23/7.96  % (1799326)------------------------------
% 20.23/7.96  % (1799326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/7.96  % (1799326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/7.96  % (1799326)CaDiCaL version: 2.1.3
% 20.23/7.96  % (1799326)Termination reason: Instruction limit
% 20.23/7.96  % (1799326)Termination phase: shuffling
% 20.23/7.96  % (1799326)Time elapsed: 0.065 s
% 20.23/7.96  % (1799326)Peak memory usage: 28 MB
% 20.23/7.96  % (1799326)Instructions burned: 122 (million)
% 20.23/7.96  % (1799327)Instruction limit reached! 
% 20.23/7.96  % (1799327)------------------------------
% 20.23/7.96  % (1799327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/7.96  % (1799327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/7.96  % (1799327)CaDiCaL version: 2.1.3
% 20.23/7.96  % (1799327)Termination reason: Instruction limit
% 20.23/7.96  % (1799327)Termination phase: shuffling
% 20.23/7.96  % (1799327)Time elapsed: 0.072 s
% 20.23/7.96  % (1799327)Peak memory usage: 28 MB
% 20.23/7.96  % (1799327)Instructions burned: 138 (million)
% 20.23/7.96  % (1799333)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.23/7.96  % (1799332)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=2226911926:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2978 on theBenchmark for (2978ds/1254Mi)
% 20.23/7.96  % (1799333)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=3202427768:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2978 on theBenchmark for (2978ds/281Mi)
% 20.23/7.96  % (1799334)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1228156316:i=619:add=on:rtra=on_2978 on theBenchmark for (2978ds/619Mi)
% 20.23/7.96  % (1799330)Instruction limit reached! 
% 20.23/7.96  % (1799330)------------------------------
% 20.23/7.96  % (1799330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/7.96  % (1799330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/7.96  % (1799330)CaDiCaL version: 2.1.3
% 20.23/7.96  % (1799330)Termination reason: Instruction limit
% 20.23/7.96  % (1799330)Termination phase: shuffling
% 20.23/7.96  % (1799330)Time elapsed: 0.115 s
% 20.23/7.96  % (1799330)Peak memory usage: 29 MB
% 20.23/7.96  % (1799330)Instructions burned: 234 (million)
% 20.23/7.96  % (1799338)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=3192639088:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/865Mi)
% 20.23/7.96  % (1799333)Instruction limit reached! 
% 20.23/7.96  % (1799333)------------------------------
% 20.23/7.96  % (1799333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/7.96  % (1799333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/7.96  % (1799333)CaDiCaL version: 2.1.3
% 20.23/7.96  % (1799333)Termination reason: Instruction limit
% 20.23/7.96  % (1799333)Termination phase: shuffling
% 20.23/7.96  % (1799333)Time elapsed: 0.139 s
% 20.23/7.96  % (1799333)Peak memory usage: 32 MB
% 20.23/7.96  % (1799333)Instructions burned: 282 (million)
% 20.23/7.96  % (1799340)lrs+10_1_sil=128000:si=on:urr=on:random_seed=687638116:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/212Mi)
% 20.23/7.96  % (1799340)Instruction limit reached! 
% 20.23/7.96  % (1799340)------------------------------
% 20.23/7.96  % (1799340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/7.96  % (1799340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799340)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799340)Termination reason: Instruction limit
% 22.47/8.23  % (1799340)Termination phase: shuffling
% 22.47/8.23  % (1799340)Time elapsed: 0.104 s
% 22.47/8.23  % (1799340)Peak memory usage: 29 MB
% 22.47/8.23  % (1799340)Instructions burned: 214 (million)
% 22.47/8.23  % (1799342)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3642572633:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/130Mi)
% 22.47/8.23  % (1799334)Instruction limit reached! 
% 22.47/8.23  % (1799334)------------------------------
% 22.47/8.23  % (1799334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.47/8.23  % (1799334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799334)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799334)Termination reason: Instruction limit
% 22.47/8.23  % (1799334)Termination phase: shuffling
% 22.47/8.23  % (1799334)Time elapsed: 0.289 s
% 22.47/8.23  % (1799334)Peak memory usage: 38 MB
% 22.47/8.23  % (1799334)Instructions burned: 619 (million)
% 22.47/8.23  % (1799344)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1696202276:st=1.5:i=346:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/346Mi)
% 22.47/8.23  % (1799342)Instruction limit reached! 
% 22.47/8.23  % (1799342)------------------------------
% 22.47/8.23  % (1799342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.47/8.23  % (1799342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799342)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799342)Termination reason: Instruction limit
% 22.47/8.23  % (1799342)Termination phase: shuffling
% 22.47/8.23  % (1799342)Time elapsed: 0.069 s
% 22.47/8.23  % (1799342)Peak memory usage: 27 MB
% 22.47/8.23  % (1799342)Instructions burned: 132 (million)
% 22.47/8.23  % (1799346)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1983283681:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/152Mi)
% 22.47/8.23  % (1799320)Instruction limit reached! 
% 22.47/8.23  % (1799320)------------------------------
% 22.47/8.23  % (1799320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.47/8.23  % (1799320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799320)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799320)Termination reason: Instruction limit
% 22.47/8.23  % (1799320)Termination phase: Property scanning
% 22.47/8.23  % (1799320)Time elapsed: 0.629 s
% 22.47/8.23  % (1799320)Peak memory usage: 39 MB
% 22.47/8.23  % (1799320)Instructions burned: 1440 (million)
% 22.47/8.23  % (1799348)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3200990168:i=75:ep=R:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/75Mi)
% 22.47/8.23  % (1799346)Instruction limit reached! 
% 22.47/8.23  % (1799346)------------------------------
% 22.47/8.23  % (1799346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.47/8.23  % (1799346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799346)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799346)Termination reason: Instruction limit
% 22.47/8.23  % (1799346)Termination phase: shuffling
% 22.47/8.23  % (1799346)Time elapsed: 0.078 s
% 22.47/8.23  % (1799346)Peak memory usage: 28 MB
% 22.47/8.23  % (1799346)Instructions burned: 153 (million)
% 22.47/8.23  % (1799350)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3439118240:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/387Mi)
% 22.47/8.23  % (1799348)Instruction limit reached! 
% 22.47/8.23  % (1799348)------------------------------
% 22.47/8.23  % (1799348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.47/8.23  % (1799348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799348)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799348)Termination reason: Instruction limit
% 22.47/8.23  % (1799348)Termination phase: shuffling
% 22.47/8.23  % (1799348)Time elapsed: 0.047 s
% 22.47/8.23  % (1799348)Peak memory usage: 27 MB
% 22.47/8.23  % (1799348)Instructions burned: 77 (million)
% 22.47/8.23  % (1799344)Instruction limit reached! 
% 22.47/8.23  % (1799344)------------------------------
% 22.47/8.23  % (1799344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.47/8.23  % (1799344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.47/8.23  % (1799344)CaDiCaL version: 2.1.3
% 22.47/8.23  % (1799344)Termination reason: Instruction limit
% 23.80/8.46  % (1799344)Termination phase: shuffling
% 23.80/8.46  % (1799344)Time elapsed: 0.172 s
% 23.80/8.46  % (1799344)Peak memory usage: 33 MB
% 23.80/8.46  % (1799344)Instructions burned: 347 (million)
% 23.80/8.46  % (1799352)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=3542329423:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2973 on theBenchmark for (2973ds/148Mi)
% 23.80/8.46  % (1799353)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3912933998:i=161:piset=and:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/161Mi)
% 23.80/8.46  % (1799338)Instruction limit reached! 
% 23.80/8.46  % (1799338)------------------------------
% 23.80/8.46  % (1799338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/8.46  % (1799338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/8.46  % (1799338)CaDiCaL version: 2.1.3
% 23.80/8.46  % (1799338)Termination reason: Instruction limit
% 23.80/8.46  % (1799338)Termination phase: shuffling
% 23.80/8.46  % (1799338)Time elapsed: 0.410 s
% 23.80/8.46  % (1799338)Peak memory usage: 44 MB
% 23.80/8.46  % (1799338)Instructions burned: 866 (million)
% 23.80/8.46  % (1799356)lrs+10_1_sil=128000:si=on:random_seed=1200076304:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/888Mi)
% 23.80/8.46  % (1799332)Instruction limit reached! 
% 23.80/8.46  % (1799332)------------------------------
% 23.80/8.46  % (1799332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/8.46  % (1799332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/8.46  % (1799332)CaDiCaL version: 2.1.3
% 23.80/8.46  % (1799332)Termination reason: Instruction limit
% 23.80/8.46  % (1799332)Termination phase: shuffling
% 23.80/8.46  % (1799332)Time elapsed: 0.584 s
% 23.80/8.46  % (1799332)Peak memory usage: 50 MB
% 23.80/8.46  % (1799332)Instructions burned: 1256 (million)
% 23.80/8.46  % (1799352)Instruction limit reached! 
% 23.80/8.46  % (1799352)------------------------------
% 23.80/8.46  % (1799352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/8.46  % (1799352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/8.46  % (1799352)CaDiCaL version: 2.1.3
% 23.80/8.46  % (1799352)Termination reason: Instruction limit
% 23.80/8.46  % (1799352)Termination phase: shuffling
% 23.80/8.46  % (1799352)Time elapsed: 0.078 s
% 23.80/8.46  % (1799352)Peak memory usage: 29 MB
% 23.80/8.46  % (1799352)Instructions burned: 148 (million)
% 23.80/8.46  % (1799353)Instruction limit reached! 
% 23.80/8.46  % (1799353)------------------------------
% 23.80/8.46  % (1799353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/8.46  % (1799353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/8.46  % (1799353)CaDiCaL version: 2.1.3
% 23.80/8.46  % (1799353)Termination reason: Instruction limit
% 23.80/8.46  % (1799353)Termination phase: shuffling
% 23.80/8.46  % (1799353)Time elapsed: 0.081 s
% 23.80/8.46  % (1799353)Peak memory usage: 28 MB
% 23.80/8.46  % (1799353)Instructions burned: 161 (million)
% 23.80/8.46  % (1799358)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=1519050203:i=136:add=on:ins=4:rtra=on:sup=off_2972 on theBenchmark for (2972ds/136Mi)
% 23.80/8.46  % (1799359)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=3569579440:i=88:s2at=3:nm=2:rtra=on:rawr=on_2972 on theBenchmark for (2972ds/88Mi)
% 23.80/8.46  % (1799360)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4091960683:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2972 on theBenchmark for (2972ds/93Mi)
% 23.80/8.46  % (1799359)Instruction limit reached! 
% 23.80/8.46  % (1799359)------------------------------
% 23.80/8.46  % (1799359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/8.46  % (1799359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/8.46  % (1799359)CaDiCaL version: 2.1.3
% 23.80/8.46  % (1799359)Termination reason: Instruction limit
% 23.80/8.46  % (1799359)Termination phase: shuffling
% 23.80/8.46  % (1799359)Time elapsed: 0.051 s
% 23.80/8.46  % (1799359)Peak memory usage: 27 MB
% 23.80/8.46  % (1799359)Instructions burned: 89 (million)
% 23.80/8.46  % (1799350)Instruction limit reached! 
% 23.80/8.46  % (1799350)------------------------------
% 23.80/8.46  % (1799350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.49/8.73  % (1799350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.49/8.73  % (1799350)CaDiCaL version: 2.1.3
% 25.49/8.73  % (1799350)Termination reason: Instruction limit
% 25.49/8.73  % (1799350)Termination phase: shuffling
% 25.49/8.73  % (1799350)Time elapsed: 0.186 s
% 25.49/8.73  % (1799350)Peak memory usage: 33 MB
% 25.49/8.73  % (1799350)Instructions burned: 388 (million)
% 25.49/8.73  % (1799360)Instruction limit reached! 
% 25.49/8.73  % (1799360)------------------------------
% 25.49/8.73  % (1799360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.49/8.73  % (1799360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.49/8.73  % (1799360)CaDiCaL version: 2.1.3
% 25.49/8.73  % (1799360)Termination reason: Instruction limit
% 25.49/8.73  % (1799360)Termination phase: shuffling
% 25.49/8.73  % (1799360)Time elapsed: 0.054 s
% 25.49/8.73  % (1799360)Peak memory usage: 28 MB
% 25.49/8.73  % (1799360)Instructions burned: 95 (million)
% 25.49/8.73  % (1799358)Instruction limit reached! 
% 25.49/8.73  % (1799358)------------------------------
% 25.49/8.73  % (1799358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.49/8.73  % (1799358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.49/8.73  % (1799358)CaDiCaL version: 2.1.3
% 25.49/8.73  % (1799358)Termination reason: Instruction limit
% 25.49/8.73  % (1799358)Termination phase: shuffling
% 25.49/8.73  % (1799358)Time elapsed: 0.072 s
% 25.49/8.73  % (1799358)Peak memory usage: 28 MB
% 25.49/8.73  % (1799358)Instructions burned: 136 (million)
% 25.49/8.73  % (1799364)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=922203121:i=2186:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/2186Mi)
% 25.49/8.73  % (1799365)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1504454044:s2a=on:i=240:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/240Mi)
% 25.49/8.73  % (1799367)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 25.49/8.73  % (1799366)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=310830082:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2971 on theBenchmark for (2971ds/805Mi)
% 25.49/8.73  % (1799367)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=874646731:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2971 on theBenchmark for (2971ds/391Mi)
% 25.49/8.73  % (1799365)Instruction limit reached! 
% 25.49/8.73  % (1799365)------------------------------
% 25.49/8.73  % (1799365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.49/8.73  % (1799365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.49/8.73  % (1799365)CaDiCaL version: 2.1.3
% 25.49/8.73  % (1799365)Termination reason: Instruction limit
% 25.49/8.73  % (1799365)Termination phase: shuffling
% 25.49/8.73  % (1799365)Time elapsed: 0.113 s
% 25.49/8.73  % (1799365)Peak memory usage: 29 MB
% 25.49/8.73  % (1799365)Instructions burned: 240 (million)
% 25.49/8.73  % (1799372)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3880689918:i=355:av=off:fsr=off:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/355Mi)
% 25.49/8.73  % (1799367)Instruction limit reached! 
% 25.49/8.73  % (1799367)------------------------------
% 25.49/8.73  % (1799367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.49/8.73  % (1799367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.49/8.73  % (1799367)CaDiCaL version: 2.1.3
% 25.49/8.73  % (1799367)Termination reason: Instruction limit
% 25.49/8.73  % (1799367)Termination phase: shuffling
% 25.49/8.73  % (1799367)Time elapsed: 0.186 s
% 25.49/8.73  % (1799367)Peak memory usage: 34 MB
% 25.49/8.73  % (1799367)Instructions burned: 393 (million)
% 25.49/8.73  % (1799374)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3459987382:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/314Mi)
% 25.49/8.73  % (1799356)Instruction limit reached! 
% 25.49/8.73  % (1799356)------------------------------
% 25.49/8.73  % (1799356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.49/8.73  % (1799356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.49/8.73  % (1799356)CaDiCaL version: 2.1.3
% 25.49/8.73  % (1799356)Termination reason: Instruction limit
% 26.69/8.96  % (1799356)Termination phase: shuffling
% 26.69/8.96  % (1799356)Time elapsed: 0.391 s
% 26.69/8.96  % (1799356)Peak memory usage: 37 MB
% 26.69/8.96  % (1799356)Instructions burned: 889 (million)
% 26.69/8.96  % (1799376)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3307334260:s2a=on:i=251:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/251Mi)
% 26.69/8.96  % (1799372)Instruction limit reached! 
% 26.69/8.96  % (1799372)------------------------------
% 26.69/8.96  % (1799372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.69/8.96  % (1799372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/8.96  % (1799372)CaDiCaL version: 2.1.3
% 26.69/8.96  % (1799372)Termination reason: Instruction limit
% 26.69/8.96  % (1799372)Termination phase: shuffling
% 26.69/8.96  % (1799372)Time elapsed: 0.166 s
% 26.69/8.96  % (1799372)Peak memory usage: 31 MB
% 26.69/8.96  % (1799372)Instructions burned: 356 (million)
% 26.69/8.96  % (1799378)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=822511511: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_2968 on theBenchmark for (2968ds/2470Mi)
% 26.69/8.96  % (1799366)Instruction limit reached! 
% 26.69/8.96  % (1799366)------------------------------
% 26.69/8.96  % (1799366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.69/8.96  % (1799366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/8.96  % (1799366)CaDiCaL version: 2.1.3
% 26.69/8.96  % (1799366)Termination reason: Instruction limit
% 26.69/8.96  % (1799366)Termination phase: shuffling
% 26.69/8.96  % (1799366)Time elapsed: 0.356 s
% 26.69/8.96  % (1799366)Peak memory usage: 36 MB
% 26.69/8.96  % (1799366)Instructions burned: 806 (million)
% 26.69/8.96  % (1799374)Instruction limit reached! 
% 26.69/8.96  % (1799374)------------------------------
% 26.69/8.96  % (1799374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.69/8.96  % (1799374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/8.96  % (1799374)CaDiCaL version: 2.1.3
% 26.69/8.96  % (1799374)Termination reason: Instruction limit
% 26.69/8.96  % (1799374)Termination phase: shuffling
% 26.69/8.96  % (1799374)Time elapsed: 0.148 s
% 26.69/8.96  % (1799374)Peak memory usage: 30 MB
% 26.69/8.96  % (1799374)Instructions burned: 315 (million)
% 26.69/8.96  % (1799380)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1628416301:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2967 on theBenchmark for (2967ds/673Mi)
% 26.69/8.96  % (1799381)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=255234223:i=116:ep=RSTC:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/116Mi)
% 26.69/8.96  % (1799376)Instruction limit reached! 
% 26.69/8.96  % (1799376)------------------------------
% 26.69/8.96  % (1799376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.69/8.96  % (1799376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/8.96  % (1799376)CaDiCaL version: 2.1.3
% 26.69/8.96  % (1799376)Termination reason: Instruction limit
% 26.69/8.96  % (1799376)Termination phase: shuffling
% 26.69/8.96  % (1799376)Time elapsed: 0.123 s
% 26.69/8.96  % (1799376)Peak memory usage: 29 MB
% 26.69/8.96  % (1799376)Instructions burned: 253 (million)
% 26.69/8.96  % (1799384)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2104050181:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2967 on theBenchmark for (2967ds/270Mi)
% 26.69/8.96  % (1799381)Instruction limit reached! 
% 26.69/8.96  % (1799381)------------------------------
% 26.69/8.96  % (1799381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.69/8.96  % (1799381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/8.96  % (1799381)CaDiCaL version: 2.1.3
% 26.69/8.96  % (1799381)Termination reason: Instruction limit
% 26.69/8.96  % (1799381)Termination phase: shuffling
% 26.69/8.96  % (1799381)Time elapsed: 0.064 s
% 26.69/8.96  % (1799381)Peak memory usage: 28 MB
% 26.69/8.96  % (1799381)Instructions burned: 118 (million)
% 26.69/8.96  % (1799386)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=3516412515: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_2966 on theBenchmark for (2966ds/30Mi)
% 29.95/9.31  % (1799386)Instruction limit reached! 
% 29.95/9.31  % (1799386)------------------------------
% 29.95/9.31  % (1799386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/9.31  % (1799386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/9.31  % (1799386)CaDiCaL version: 2.1.3
% 29.95/9.31  % (1799386)Termination reason: Instruction limit
% 29.95/9.31  % (1799386)Termination phase: Property scanning
% 29.95/9.31  % (1799386)Time elapsed: 0.023 s
% 29.95/9.31  % (1799386)Peak memory usage: 26 MB
% 29.95/9.31  % (1799386)Instructions burned: 30 (million)
% 29.95/9.31  % (1799388)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 29.95/9.31  % (1799388)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1875794469:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2966 on theBenchmark for (2966ds/39Mi)
% 29.95/9.31  % (1799388)Instruction limit reached! 
% 29.95/9.31  % (1799388)------------------------------
% 29.95/9.31  % (1799388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/9.31  % (1799388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/9.31  % (1799388)CaDiCaL version: 2.1.3
% 29.95/9.31  % (1799388)Termination reason: Instruction limit
% 29.95/9.31  % (1799388)Termination phase: shuffling
% 29.95/9.31  % (1799388)Time elapsed: 0.030 s
% 29.95/9.31  % (1799388)Peak memory usage: 27 MB
% 29.95/9.31  % (1799388)Instructions burned: 41 (million)
% 29.95/9.31  % (1799384)Instruction limit reached! 
% 29.95/9.31  % (1799384)------------------------------
% 29.95/9.31  % (1799384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/9.31  % (1799384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/9.31  % (1799384)CaDiCaL version: 2.1.3
% 29.95/9.31  % (1799384)Termination reason: Instruction limit
% 29.95/9.31  % (1799384)Termination phase: shuffling
% 29.95/9.31  % (1799384)Time elapsed: 0.136 s
% 29.95/9.31  % (1799384)Peak memory usage: 32 MB
% 29.95/9.31  % (1799384)Instructions burned: 271 (million)
% 29.95/9.31  % (1799391)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2554846266:i=158:av=off:rtra=on_2965 on theBenchmark for (2965ds/158Mi)
% 29.95/9.31  % (1799390)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2890911456:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/365Mi)
% 29.95/9.31  % (1799391)Instruction limit reached! 
% 29.95/9.31  % (1799391)------------------------------
% 29.95/9.31  % (1799391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/9.31  % (1799391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/9.31  % (1799391)CaDiCaL version: 2.1.3
% 29.95/9.31  % (1799391)Termination reason: Instruction limit
% 29.95/9.31  % (1799391)Termination phase: shuffling
% 29.95/9.31  % (1799391)Time elapsed: 0.078 s
% 29.95/9.31  % (1799391)Peak memory usage: 28 MB
% 29.95/9.31  % (1799391)Instructions burned: 159 (million)
% 29.95/9.31  % (1799394)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
% 29.95/9.31  % (1799394)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=3106860243:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/252Mi)
% 29.95/9.31  % (1799380)Instruction limit reached! 
% 29.95/9.31  % (1799380)------------------------------
% 29.95/9.31  % (1799380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/9.31  % (1799380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/9.31  % (1799380)CaDiCaL version: 2.1.3
% 29.95/9.31  % (1799380)Termination reason: Instruction limit
% 29.95/9.31  % (1799380)Termination phase: shuffling
% 29.95/9.31  % (1799380)Time elapsed: 0.300 s
% 29.95/9.31  % (1799380)Peak memory usage: 35 MB
% 29.95/9.31  % (1799380)Instructions burned: 673 (million)
% 29.95/9.31  % (1799396)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4120055813:i=213:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/213Mi)
% 29.95/9.31  % (1799390)Instruction limit reached! 
% 29.95/9.31  % (1799390)------------------------------
% 29.95/9.31  % (1799390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.73/9.43  % (1799390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.73/9.43  % (1799390)CaDiCaL version: 2.1.3
% 30.73/9.43  % (1799390)Termination reason: Instruction limit
% 30.73/9.43  % (1799390)Termination phase: shuffling
% 30.73/9.43  % (1799390)Time elapsed: 0.168 s
% 30.73/9.43  % (1799390)Peak memory usage: 31 MB
% 30.73/9.43  % (1799390)Instructions burned: 366 (million)
% 30.73/9.43  % (1799398)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=172407230:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/160Mi)
% 30.73/9.43  % (1799394)Instruction limit reached! 
% 30.73/9.43  % (1799394)------------------------------
% 30.73/9.43  % (1799394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.73/9.43  % (1799394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.73/9.43  % (1799394)CaDiCaL version: 2.1.3
% 30.73/9.43  % (1799394)Termination reason: Instruction limit
% 30.73/9.43  % (1799394)Termination phase: shuffling
% 30.73/9.43  % (1799394)Time elapsed: 0.119 s
% 30.73/9.43  % (1799394)Peak memory usage: 29 MB
% 30.73/9.43  % (1799394)Instructions burned: 252 (million)
% 30.73/9.43  % (1799396)Instruction limit reached! 
% 30.73/9.43  % (1799396)------------------------------
% 30.73/9.43  % (1799396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.73/9.43  % (1799396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.73/9.43  % (1799396)CaDiCaL version: 2.1.3
% 30.73/9.43  % (1799396)Termination reason: Instruction limit
% 30.73/9.43  % (1799396)Termination phase: shuffling
% 30.73/9.43  % (1799396)Time elapsed: 0.104 s
% 30.73/9.43  % (1799396)Peak memory usage: 29 MB
% 30.73/9.43  % (1799396)Instructions burned: 213 (million)
% 30.73/9.43  % (1799400)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4183996777:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/763Mi)
% 30.73/9.43  % (1799401)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 30.73/9.43  % (1799401)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=707077894:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2963 on theBenchmark for (2963ds/237Mi)
% 30.73/9.43  % (1799398)Instruction limit reached! 
% 30.73/9.43  % (1799398)------------------------------
% 30.73/9.43  % (1799398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.73/9.43  % (1799398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.73/9.43  % (1799398)CaDiCaL version: 2.1.3
% 30.73/9.43  % (1799398)Termination reason: Instruction limit
% 30.73/9.43  % (1799398)Termination phase: shuffling
% 30.73/9.43  % (1799398)Time elapsed: 0.083 s
% 30.73/9.43  % (1799398)Peak memory usage: 28 MB
% 30.73/9.43  % (1799398)Instructions burned: 160 (million)
% 30.73/9.43  % (1799404)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3531654323:s2a=on:i=386:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/386Mi)
% 30.73/9.43  % (1799401)Instruction limit reached! 
% 30.73/9.43  % (1799401)------------------------------
% 30.73/9.43  % (1799401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.73/9.43  % (1799401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.73/9.43  % (1799401)CaDiCaL version: 2.1.3
% 30.73/9.43  % (1799401)Termination reason: Instruction limit
% 30.73/9.43  % (1799401)Termination phase: shuffling
% 30.73/9.43  % (1799401)Time elapsed: 0.115 s
% 30.73/9.43  % (1799401)Peak memory usage: 29 MB
% 30.73/9.43  % (1799401)Instructions burned: 239 (million)
% 30.73/9.43  % (1799364)Instruction limit reached! 
% 30.73/9.43  % (1799364)------------------------------
% 30.73/9.43  % (1799364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.73/9.43  % (1799364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.73/9.43  % (1799364)CaDiCaL version: 2.1.3
% 30.73/9.43  % (1799364)Termination reason: Instruction limit
% 30.73/9.43  % (1799364)Termination phase: Property scanning
% 30.73/9.43  % (1799364)Time elapsed: 0.970 s
% 30.73/9.43  % (1799364)Peak memory usage: 53 MB
% 30.73/9.43  % (1799364)Instructions burned: 2186 (million)
% 30.73/9.43  % (1799406)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2054810591:i=300:piset=and:nm=32:rtra=on_2961 on theBenchmark for (2961ds/300Mi)
% 31.40/9.54  % (1799407)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=4181789804:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/567Mi)
% 31.40/9.54  % (1799404)Instruction limit reached! 
% 31.40/9.54  % (1799404)------------------------------
% 31.40/9.54  % (1799404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.40/9.54  % (1799404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.40/9.54  % (1799404)CaDiCaL version: 2.1.3
% 31.40/9.54  % (1799404)Termination reason: Instruction limit
% 31.40/9.54  % (1799404)Termination phase: shuffling
% 31.40/9.54  % (1799404)Time elapsed: 0.186 s
% 31.40/9.54  % (1799404)Peak memory usage: 34 MB
% 31.40/9.54  % (1799404)Instructions burned: 386 (million)
% 31.40/9.54  % (1799410)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=662541951:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2960 on theBenchmark for (2960ds/379Mi)
% 31.40/9.54  % (1799406)Instruction limit reached! 
% 31.40/9.54  % (1799406)------------------------------
% 31.40/9.54  % (1799406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.40/9.54  % (1799406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.40/9.54  % (1799406)CaDiCaL version: 2.1.3
% 31.40/9.54  % (1799406)Termination reason: Instruction limit
% 31.40/9.54  % (1799406)Termination phase: shuffling
% 31.40/9.54  % (1799406)Time elapsed: 0.148 s
% 31.40/9.54  % (1799406)Peak memory usage: 30 MB
% 31.40/9.54  % (1799406)Instructions burned: 301 (million)
% 31.40/9.54  % (1799412)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=4284734055:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2959 on theBenchmark for (2959ds/429Mi)
% 31.40/9.54  % (1799400)Instruction limit reached! 
% 31.40/9.54  % (1799400)------------------------------
% 31.40/9.54  % (1799400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.40/9.54  % (1799400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.40/9.54  % (1799400)CaDiCaL version: 2.1.3
% 31.40/9.54  % (1799400)Termination reason: Instruction limit
% 31.40/9.54  % (1799400)Termination phase: shuffling
% 31.40/9.54  % (1799400)Time elapsed: 0.332 s
% 31.40/9.54  % (1799400)Peak memory usage: 35 MB
% 31.40/9.54  % (1799400)Instructions burned: 765 (million)
% 31.40/9.54  % (1799414)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2607991925:i=478:bd=all:rtra=on_2959 on theBenchmark for (2959ds/478Mi)
% 31.40/9.54  % (1799407)Instruction limit reached! 
% 31.40/9.54  % (1799407)------------------------------
% 31.40/9.54  % (1799407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.40/9.54  % (1799407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.40/9.54  % (1799407)CaDiCaL version: 2.1.3
% 31.40/9.54  % (1799407)Termination reason: Instruction limit
% 31.40/9.54  % (1799407)Termination phase: shuffling
% 31.40/9.54  % (1799407)Time elapsed: 0.265 s
% 31.40/9.54  % (1799407)Peak memory usage: 37 MB
% 31.40/9.54  % (1799407)Instructions burned: 567 (million)
% 31.40/9.54  % (1799410)Instruction limit reached! 
% 31.40/9.54  % (1799410)------------------------------
% 31.40/9.54  % (1799410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.40/9.54  % (1799410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.40/9.54  % (1799410)CaDiCaL version: 2.1.3
% 31.40/9.54  % (1799410)Termination reason: Instruction limit
% 31.40/9.54  % (1799410)Termination phase: shuffling
% 31.40/9.54  % (1799410)Time elapsed: 0.177 s
% 31.40/9.54  % (1799410)Peak memory usage: 31 MB
% 31.40/9.54  % (1799410)Instructions burned: 381 (million)
% 31.40/9.54  % (1799416)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4164968972:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2958 on theBenchmark for (2958ds/445Mi)
% 31.40/9.54  % (1799417)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1086977691:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2958 on theBenchmark for (2958ds/71Mi)
% 31.40/9.54  % (1799280)Instruction limit reached! 
% 31.40/9.54  % (1799280)------------------------------
% 31.40/9.54  % (1799280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.40/9.54  % (1799280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.40/9.54  % (1799280)CaDiCaL version: 2.1.3
% 31.40/9.54  % (1799280)Termination reason: Instruction limit
% 32.40/9.80  % (1799280)Termination phase: Saturation
% 32.40/9.80  % (1799280)Time elapsed: 2.659 s
% 32.40/9.80  % (1799280)Peak memory usage: 63 MB
% 32.40/9.80  % (1799280)Instructions burned: 5755 (million)
% 32.40/9.80  % (1799417)Instruction limit reached! 
% 32.40/9.80  % (1799417)------------------------------
% 32.40/9.80  % (1799417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.40/9.80  % (1799417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.40/9.80  % (1799417)CaDiCaL version: 2.1.3
% 32.40/9.80  % (1799417)Termination reason: Instruction limit
% 32.40/9.80  % (1799417)Termination phase: shuffling
% 32.40/9.80  % (1799417)Time elapsed: 0.043 s
% 32.40/9.80  % (1799417)Peak memory usage: 27 MB
% 32.40/9.80  % (1799417)Instructions burned: 71 (million)
% 32.40/9.80  % (1799412)Instruction limit reached! 
% 32.40/9.80  % (1799412)------------------------------
% 32.40/9.80  % (1799412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.40/9.80  % (1799412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.40/9.80  % (1799412)CaDiCaL version: 2.1.3
% 32.40/9.80  % (1799412)Termination reason: Instruction limit
% 32.40/9.80  % (1799412)Termination phase: shuffling
% 32.40/9.80  % (1799412)Time elapsed: 0.197 s
% 32.40/9.80  % (1799412)Peak memory usage: 32 MB
% 32.40/9.80  % (1799412)Instructions burned: 429 (million)
% 32.40/9.80  % (1799420)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4066389704:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/302Mi)
% 32.40/9.80  % (1799421)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1925804221:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/4980Mi)
% 32.40/9.80  % (1799422)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
% 32.40/9.80  % (1799422)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 32.40/9.80  % (1799422)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3802076692:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2957 on theBenchmark for (2957ds/100Mi)
% 32.40/9.80  % (1799414)Instruction limit reached! 
% 32.40/9.80  % (1799414)------------------------------
% 32.40/9.80  % (1799414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.40/9.80  % (1799414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.40/9.80  % (1799414)CaDiCaL version: 2.1.3
% 32.40/9.80  % (1799414)Termination reason: Instruction limit
% 32.40/9.80  % (1799414)Termination phase: shuffling
% 32.40/9.80  % (1799414)Time elapsed: 0.217 s
% 32.40/9.80  % (1799414)Peak memory usage: 32 MB
% 32.40/9.80  % (1799414)Instructions burned: 479 (million)
% 32.40/9.80  % (1799378)Instruction limit reached! 
% 32.40/9.80  % (1799378)------------------------------
% 32.40/9.80  % (1799378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.40/9.80  % (1799378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.40/9.80  % (1799378)CaDiCaL version: 2.1.3
% 32.40/9.80  % (1799378)Termination reason: Instruction limit
% 32.40/9.80  % (1799378)Termination phase: Property scanning
% 32.40/9.80  % (1799378)Time elapsed: 1.089 s
% 32.40/9.80  % (1799378)Peak memory usage: 53 MB
% 32.40/9.80  % (1799378)Instructions burned: 2472 (million)
% 32.40/9.80  % (1799426)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=4114383752:i=76:piset=equals:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/76Mi)
% 32.40/9.80  % (1799422)Instruction limit reached! 
% 32.40/9.80  % (1799422)------------------------------
% 32.40/9.80  % (1799422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.40/9.80  % (1799422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.40/9.80  % (1799422)CaDiCaL version: 2.1.3
% 32.40/9.80  % (1799422)Termination reason: Instruction limit
% 32.40/9.80  % (1799422)Termination phase: shuffling
% 32.40/9.80  % (1799422)Time elapsed: 0.057 s
% 32.40/9.80  % (1799422)Peak memory usage: 28 MB
% 32.40/9.80  % (1799422)Instructions burned: 101 (million)
% 32.40/9.80  % (1799428)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1475583073:i=289:rtra=on_2957 on theBenchmark for (2957ds/289Mi)
% 32.40/9.80  % (1799429)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=3500507129:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2956 on theBenchmark for (2956ds/493Mi)
% 33.21/10.01  % (1799426)Instruction limit reached! 
% 33.21/10.01  % (1799426)------------------------------
% 33.21/10.01  % (1799426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.21/10.01  % (1799426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.21/10.01  % (1799426)CaDiCaL version: 2.1.3
% 33.21/10.01  % (1799426)Termination reason: Instruction limit
% 33.21/10.01  % (1799426)Termination phase: shuffling
% 33.21/10.01  % (1799426)Time elapsed: 0.047 s
% 33.21/10.01  % (1799426)Peak memory usage: 27 MB
% 33.21/10.01  % (1799426)Instructions burned: 77 (million)
% 33.21/10.01  % (1799416)Instruction limit reached! 
% 33.21/10.01  % (1799416)------------------------------
% 33.21/10.01  % (1799416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.21/10.01  % (1799416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.21/10.01  % (1799416)CaDiCaL version: 2.1.3
% 33.21/10.01  % (1799416)Termination reason: Instruction limit
% 33.21/10.01  % (1799416)Termination phase: shuffling
% 33.21/10.01  % (1799416)Time elapsed: 0.202 s
% 33.21/10.01  % (1799416)Peak memory usage: 31 MB
% 33.21/10.01  % (1799416)Instructions burned: 446 (million)
% 33.21/10.01  % (1799432)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=1396728339:cond=on:i=34:hud=10:nm=10:rtra=on_2956 on theBenchmark for (2956ds/34Mi)
% 33.21/10.01  % (1799420)Instruction limit reached! 
% 33.21/10.01  % (1799420)------------------------------
% 33.21/10.01  % (1799420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.21/10.01  % (1799420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.21/10.01  % (1799420)CaDiCaL version: 2.1.3
% 33.21/10.01  % (1799420)Termination reason: Instruction limit
% 33.21/10.01  % (1799420)Termination phase: shuffling
% 33.21/10.01  % (1799420)Time elapsed: 0.143 s
% 33.21/10.01  % (1799420)Peak memory usage: 30 MB
% 33.21/10.01  % (1799420)Instructions burned: 304 (million)
% 33.21/10.01  % (1799433)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 33.21/10.01  % (1799433)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=855500158:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2956 on theBenchmark for (2956ds/372Mi)
% 33.21/10.01  % (1799435)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=26148517:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2956 on theBenchmark for (2956ds/670Mi)
% 33.21/10.01  % (1799432)Instruction limit reached! 
% 33.21/10.01  % (1799432)------------------------------
% 33.21/10.01  % (1799432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.21/10.01  % (1799432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.21/10.01  % (1799432)CaDiCaL version: 2.1.3
% 33.21/10.01  % (1799432)Termination reason: Instruction limit
% 33.21/10.01  % (1799432)Termination phase: shuffling
% 33.21/10.01  % (1799432)Time elapsed: 0.030 s
% 33.21/10.01  % (1799432)Peak memory usage: 27 MB
% 33.21/10.01  % (1799432)Instructions burned: 36 (million)
% 33.21/10.01  % (1799312)Instruction limit reached! 
% 33.21/10.01  % (1799312)------------------------------
% 33.21/10.01  % (1799312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.21/10.01  % (1799312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.21/10.01  % (1799312)CaDiCaL version: 2.1.3
% 33.21/10.01  % (1799312)Termination reason: Instruction limit
% 33.21/10.01  % (1799312)Termination phase: Saturation
% 33.21/10.01  % (1799312)Time elapsed: 2.579 s
% 33.21/10.01  % (1799312)Peak memory usage: 83 MB
% 33.21/10.01  % (1799312)Instructions burned: 9843 (million)
% 33.21/10.01  % (1799438)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3729926484:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2956 on theBenchmark for (2956ds/647Mi)
% 33.21/10.01  % (1799440)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=983019334:i=857:add=off:kws=frequency:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/857Mi)
% 37.30/10.34  % (1799428)Instruction limit reached! 
% 37.30/10.34  % (1799428)------------------------------
% 37.30/10.34  % (1799428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.30/10.34  % (1799428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.30/10.34  % (1799428)CaDiCaL version: 2.1.3
% 37.30/10.34  % (1799428)Termination reason: Instruction limit
% 37.30/10.34  % (1799428)Termination phase: shuffling
% 37.30/10.34  % (1799428)Time elapsed: 0.132 s
% 37.30/10.34  % (1799428)Peak memory usage: 29 MB
% 37.30/10.34  % (1799428)Instructions burned: 290 (million)
% 37.30/10.34  % (1799443)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=3009242578:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2955 on theBenchmark for (2955ds/693Mi)
% 37.30/10.34  % (1799429)Instruction limit reached! 
% 37.30/10.34  % (1799429)------------------------------
% 37.30/10.34  % (1799429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.30/10.34  % (1799429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.30/10.34  % (1799429)CaDiCaL version: 2.1.3
% 37.30/10.34  % (1799429)Termination reason: Instruction limit
% 37.30/10.34  % (1799429)Termination phase: shuffling
% 37.30/10.34  % (1799429)Time elapsed: 0.235 s
% 37.30/10.34  % (1799429)Peak memory usage: 35 MB
% 37.30/10.34  % (1799429)Instructions burned: 494 (million)
% 37.30/10.34  % (1799433)Instruction limit reached! 
% 37.30/10.34  % (1799433)------------------------------
% 37.30/10.34  % (1799433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.30/10.34  % (1799433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.30/10.34  % (1799433)CaDiCaL version: 2.1.3
% 37.30/10.34  % (1799433)Termination reason: Instruction limit
% 37.30/10.34  % (1799433)Termination phase: shuffling
% 37.30/10.34  % (1799433)Time elapsed: 0.181 s
% 37.30/10.34  % (1799433)Peak memory usage: 33 MB
% 37.30/10.34  % (1799433)Instructions burned: 374 (million)
% 37.30/10.34  % (1799447)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 37.30/10.34  % (1799446)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=352860129:i=285:hud=10:bd=all:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/285Mi)
% 37.30/10.34  % (1799447)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=3711009932:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2954 on theBenchmark for (2954ds/52Mi)
% 37.30/10.34  % (1799447)Instruction limit reached! 
% 37.30/10.34  % (1799447)------------------------------
% 37.30/10.34  % (1799447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.30/10.34  % (1799447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.30/10.34  % (1799447)CaDiCaL version: 2.1.3
% 37.30/10.34  % (1799447)Termination reason: Instruction limit
% 37.30/10.34  % (1799447)Termination phase: shuffling
% 37.30/10.34  % (1799447)Time elapsed: 0.036 s
% 37.30/10.34  % (1799447)Peak memory usage: 27 MB
% 37.30/10.34  % (1799447)Instructions burned: 53 (million)
% 37.30/10.34  % (1799440)Instruction limit reached! 
% 37.30/10.34  % (1799440)------------------------------
% 37.30/10.34  % (1799440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.30/10.34  % (1799440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.30/10.34  % (1799440)CaDiCaL version: 2.1.3
% 37.30/10.34  % (1799440)Termination reason: Instruction limit
% 37.30/10.34  % (1799440)Termination phase: shuffling
% 37.30/10.34  % (1799440)Time elapsed: 0.204 s
% 37.30/10.34  % (1799440)Peak memory usage: 36 MB
% 37.30/10.34  % (1799440)Instructions burned: 857 (million)
% 37.30/10.34  % (1799450)dis+10_1_si=on:random_seed=1521152532:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2953 on theBenchmark for (2953ds/407Mi)
% 37.30/10.34  % (1799451)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=226038544:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2953 on theBenchmark for (2953ds/2240Mi)
% 37.30/10.34  % (1799435)Instruction limit reached! 
% 37.30/10.34  % (1799435)------------------------------
% 37.30/10.34  % (1799435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.30/10.34  % (1799435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.30/10.34  % (1799435)CaDiCaL version: 2.1.3
% 37.30/10.34  % (1799435)Termination reason: Instruction limit
% 38.19/10.55  % (1799435)Termination phase: shuffling
% 38.19/10.55  % (1799435)Time elapsed: 0.301 s
% 38.19/10.55  % (1799435)Peak memory usage: 35 MB
% 38.19/10.55  % (1799435)Instructions burned: 672 (million)
% 38.19/10.55  % (1799438)Instruction limit reached! 
% 38.19/10.55  % (1799438)------------------------------
% 38.19/10.55  % (1799438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.19/10.55  % (1799438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.19/10.55  % (1799438)CaDiCaL version: 2.1.3
% 38.19/10.55  % (1799438)Termination reason: Instruction limit
% 38.19/10.55  % (1799438)Termination phase: shuffling
% 38.19/10.55  % (1799438)Time elapsed: 0.290 s
% 38.19/10.55  % (1799438)Peak memory usage: 35 MB
% 38.19/10.55  % (1799438)Instructions burned: 647 (million)
% 38.19/10.55  % (1799454)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3505201882:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2953 on theBenchmark for (2953ds/336Mi)
% 38.19/10.55  % (1799446)Instruction limit reached! 
% 38.19/10.55  % (1799446)------------------------------
% 38.19/10.55  % (1799446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.19/10.55  % (1799446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.19/10.55  % (1799446)CaDiCaL version: 2.1.3
% 38.19/10.55  % (1799446)Termination reason: Instruction limit
% 38.19/10.55  % (1799446)Termination phase: shuffling
% 38.19/10.55  % (1799446)Time elapsed: 0.143 s
% 38.19/10.55  % (1799446)Peak memory usage: 32 MB
% 38.19/10.55  % (1799446)Instructions burned: 286 (million)
% 38.19/10.55  % (1799455)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3346640931:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2952 on theBenchmark for (2952ds/1142Mi)
% 38.19/10.55  % (1799457)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1482764883:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2952 on theBenchmark for (2952ds/376Mi)
% 38.19/10.55  % (1799443)Instruction limit reached! 
% 38.19/10.55  % (1799443)------------------------------
% 38.19/10.55  % (1799443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.19/10.55  % (1799443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.19/10.55  % (1799443)CaDiCaL version: 2.1.3
% 38.19/10.55  % (1799443)Termination reason: Instruction limit
% 38.19/10.55  % (1799443)Termination phase: shuffling
% 38.19/10.55  % (1799443)Time elapsed: 0.322 s
% 38.19/10.55  % (1799443)Peak memory usage: 39 MB
% 38.19/10.55  % (1799443)Instructions burned: 693 (million)
% 38.19/10.55  % (1799460)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2722811042:i=766:bd=all:rtra=on_2951 on theBenchmark for (2951ds/766Mi)
% 38.19/10.55  % (1799450)Instruction limit reached! 
% 38.19/10.55  % (1799450)------------------------------
% 38.19/10.55  % (1799450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.19/10.55  % (1799450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.19/10.55  % (1799450)CaDiCaL version: 2.1.3
% 38.19/10.55  % (1799450)Termination reason: Instruction limit
% 38.19/10.55  % (1799450)Termination phase: shuffling
% 38.19/10.55  % (1799450)Time elapsed: 0.185 s
% 38.19/10.55  % (1799450)Peak memory usage: 31 MB
% 38.19/10.55  % (1799450)Instructions burned: 407 (million)
% 38.19/10.55  % (1799462)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 38.19/10.55  % (1799462)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1172500524:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2951 on theBenchmark for (2951ds/959Mi)
% 38.19/10.55  % (1799454)Instruction limit reached! 
% 38.19/10.55  % (1799454)------------------------------
% 38.19/10.55  % (1799454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.19/10.55  % (1799454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.19/10.55  % (1799454)CaDiCaL version: 2.1.3
% 38.19/10.55  % (1799454)Termination reason: Instruction limit
% 38.19/10.55  % (1799454)Termination phase: shuffling
% 38.19/10.55  % (1799454)Time elapsed: 0.159 s
% 38.19/10.55  % (1799454)Peak memory usage: 30 MB
% 38.19/10.55  % (1799454)Instructions burned: 338 (million)
% 38.19/10.55  % (1799464)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=3534841880:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2951 on theBenchmark for (2951ds/6359Mi)
% 39.37/10.67  % (1799457)Instruction limit reached! 
% 39.37/10.67  % (1799457)------------------------------
% 39.37/10.67  % (1799457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/10.67  % (1799457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/10.67  % (1799457)CaDiCaL version: 2.1.3
% 39.37/10.67  % (1799457)Termination reason: Instruction limit
% 39.37/10.67  % (1799457)Termination phase: shuffling
% 39.37/10.67  % (1799457)Time elapsed: 0.170 s
% 39.37/10.67  % (1799457)Peak memory usage: 31 MB
% 39.37/10.67  % (1799457)Instructions burned: 377 (million)
% 39.37/10.67  % (1799470)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4225012531:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2950 on theBenchmark for (2950ds/35Mi)
% 39.37/10.67  % (1799470)Instruction limit reached! 
% 39.37/10.67  % (1799470)------------------------------
% 39.37/10.67  % (1799470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/10.67  % (1799470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/10.67  % (1799470)CaDiCaL version: 2.1.3
% 39.37/10.67  % (1799470)Termination reason: Instruction limit
% 39.37/10.67  % (1799470)Termination phase: shuffling
% 39.37/10.67  % (1799470)Time elapsed: 0.029 s
% 39.37/10.67  % (1799470)Peak memory usage: 26 MB
% 39.37/10.67  % (1799470)Instructions burned: 35 (million)
% 39.37/10.67  % (1799485)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1705240164:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2950 on theBenchmark for (2950ds/53Mi)
% 39.37/10.67  % (1799485)Instruction limit reached! 
% 39.37/10.67  % (1799485)------------------------------
% 39.37/10.67  % (1799485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/10.67  % (1799485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/10.67  % (1799485)CaDiCaL version: 2.1.3
% 39.37/10.67  % (1799485)Termination reason: Instruction limit
% 39.37/10.67  % (1799485)Termination phase: shuffling
% 39.37/10.67  % (1799485)Time elapsed: 0.037 s
% 39.37/10.67  % (1799485)Peak memory usage: 27 MB
% 39.37/10.67  % (1799485)Instructions burned: 54 (million)
% 39.37/10.67  % (1799488)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1724778748:s2a=on:i=876:s2at=6:nm=2:rtra=on_2949 on theBenchmark for (2949ds/876Mi)
% 39.37/10.67  % (1799460)Instruction limit reached! 
% 39.37/10.67  % (1799460)------------------------------
% 39.37/10.67  % (1799460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/10.67  % (1799460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/10.67  % (1799460)CaDiCaL version: 2.1.3
% 39.37/10.67  % (1799460)Termination reason: Instruction limit
% 39.37/10.67  % (1799460)Termination phase: shuffling
% 39.37/10.67  % (1799460)Time elapsed: 0.341 s
% 39.37/10.67  % (1799460)Peak memory usage: 36 MB
% 39.37/10.67  % (1799460)Instructions burned: 766 (million)
% 39.37/10.67  % (1799515)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1178939281:i=57:ep=R:rtra=on:ntd=on_2948 on theBenchmark for (2948ds/57Mi)
% 39.37/10.67  % (1799451)Instruction limit reached! 
% 39.37/10.67  % (1799451)------------------------------
% 39.37/10.67  % (1799451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/10.67  % (1799451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/10.67  % (1799451)CaDiCaL version: 2.1.3
% 39.37/10.67  % (1799451)Termination reason: Instruction limit
% 39.37/10.67  % (1799451)Termination phase: Property scanning
% 39.37/10.67  % (1799451)Time elapsed: 0.546 s
% 39.37/10.67  % (1799451)Peak memory usage: 53 MB
% 39.37/10.67  % (1799451)Instructions burned: 2243 (million)
% 39.37/10.67  % (1799518)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 39.37/10.67  % (1799518)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4003770129:i=306:bd=all:rtra=on_2948 on theBenchmark for (2948ds/306Mi)
% 39.37/10.67  % (1799515)Instruction limit reached! 
% 39.37/10.67  % (1799515)------------------------------
% 39.37/10.67  % (1799515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/10.67  % (1799515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/10.67  % (1799515)CaDiCaL version: 2.1.3
% 39.37/10.67  % (1799515)Termination reason: Instruction limit
% 40.08/10.78  % (1799515)Termination phase: shuffling
% 40.08/10.78  % (1799515)Time elapsed: 0.038 s
% 40.08/10.78  % (1799515)Peak memory usage: 27 MB
% 40.08/10.78  % (1799515)Instructions burned: 58 (million)
% 40.08/10.78  % (1799455)Instruction limit reached! 
% 40.08/10.78  % (1799455)------------------------------
% 40.08/10.78  % (1799455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.08/10.78  % (1799455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.08/10.78  % (1799455)CaDiCaL version: 2.1.3
% 40.08/10.78  % (1799455)Termination reason: Instruction limit
% 40.08/10.78  % (1799455)Termination phase: shuffling
% 40.08/10.78  % (1799455)Time elapsed: 0.498 s
% 40.08/10.78  % (1799455)Peak memory usage: 40 MB
% 40.08/10.78  % (1799455)Instructions burned: 1142 (million)
% 40.08/10.78  % (1799520)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=562856705:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2947 on theBenchmark for (2947ds/262Mi)
% 40.08/10.78  % (1799521)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 40.08/10.78  % (1799521)ott+1002_16_sil=128000:si=on:random_seed=2530301714:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/409Mi)
% 40.08/10.78  % (1799462)Instruction limit reached! 
% 40.08/10.78  % (1799462)------------------------------
% 40.08/10.78  % (1799462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.08/10.78  % (1799462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.08/10.78  % (1799462)CaDiCaL version: 2.1.3
% 40.08/10.78  % (1799462)Termination reason: Instruction limit
% 40.08/10.78  % (1799462)Termination phase: Property scanning
% 40.08/10.78  % (1799462)Time elapsed: 0.434 s
% 40.08/10.78  % (1799462)Peak memory usage: 40 MB
% 40.08/10.78  % (1799462)Instructions burned: 961 (million)
% 40.08/10.78  % (1799518)Instruction limit reached! 
% 40.08/10.78  % (1799518)------------------------------
% 40.08/10.78  % (1799518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.08/10.78  % (1799518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.08/10.78  % (1799518)CaDiCaL version: 2.1.3
% 40.08/10.78  % (1799518)Termination reason: Instruction limit
% 40.08/10.78  % (1799518)Termination phase: shuffling
% 40.08/10.78  % (1799518)Time elapsed: 0.078 s
% 40.08/10.78  % (1799518)Peak memory usage: 29 MB
% 40.08/10.78  % (1799518)Instructions burned: 306 (million)
% 40.08/10.78  % (1799524)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=4088174947:s2a=on:i=381:rtra=on_2947 on theBenchmark for (2947ds/381Mi)
% 40.08/10.78  % (1799525)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2739324644:cond=on:i=324:rtra=on:ntd=on_2947 on theBenchmark for (2947ds/324Mi)
% 40.08/10.78  % (1799520)Instruction limit reached! 
% 40.08/10.78  % (1799520)------------------------------
% 40.08/10.78  % (1799520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.08/10.78  % (1799520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.08/10.78  % (1799520)CaDiCaL version: 2.1.3
% 40.08/10.78  % (1799520)Termination reason: Instruction limit
% 40.08/10.78  % (1799520)Termination phase: shuffling
% 40.08/10.78  % (1799520)Time elapsed: 0.125 s
% 40.08/10.78  % (1799520)Peak memory usage: 29 MB
% 40.08/10.78  % (1799520)Instructions burned: 262 (million)
% 40.08/10.78  % (1799528)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3775850485:i=240:kws=inv_precedence:rtra=on_2946 on theBenchmark for (2946ds/240Mi)
% 40.08/10.78  % (1799524)Instruction limit reached! 
% 40.08/10.78  % (1799524)------------------------------
% 40.08/10.78  % (1799524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.08/10.78  % (1799524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.08/10.78  % (1799524)CaDiCaL version: 2.1.3
% 40.08/10.78  % (1799524)Termination reason: Instruction limit
% 40.08/10.78  % (1799524)Termination phase: shuffling
% 40.08/10.78  % (1799524)Time elapsed: 0.100 s
% 40.08/10.78  % (1799524)Peak memory usage: 31 MB
% 40.08/10.78  % (1799524)Instructions burned: 386 (million)
% 40.08/10.78  % (1799530)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 40.08/10.78  % (1799530)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3561370430:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2945 on theBenchmark for (2945ds/124Mi)
% 40.08/10.78  % (1799521)Instruction limit reached! 
% 40.08/10.78  % (1799521)------------------------------
% 41.01/10.97  % (1799521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.01/10.97  % (1799521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.01/10.97  % (1799521)CaDiCaL version: 2.1.3
% 41.01/10.97  % (1799521)Termination reason: Instruction limit
% 41.01/10.97  % (1799521)Termination phase: shuffling
% 41.01/10.97  % (1799521)Time elapsed: 0.187 s
% 41.01/10.97  % (1799521)Peak memory usage: 31 MB
% 41.01/10.97  % (1799521)Instructions burned: 411 (million)
% 41.01/10.97  % (1799488)Instruction limit reached! 
% 41.01/10.97  % (1799488)------------------------------
% 41.01/10.97  % (1799488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.01/10.97  % (1799488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.01/10.97  % (1799488)CaDiCaL version: 2.1.3
% 41.01/10.97  % (1799488)Termination reason: Instruction limit
% 41.01/10.97  % (1799488)Termination phase: shuffling
% 41.01/10.97  % (1799488)Time elapsed: 0.393 s
% 41.01/10.97  % (1799488)Peak memory usage: 37 MB
% 41.01/10.97  % (1799488)Instructions burned: 876 (million)
% 41.01/10.97  % (1799530)Instruction limit reached! 
% 41.01/10.97  % (1799530)------------------------------
% 41.01/10.97  % (1799530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.01/10.97  % (1799530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.01/10.97  % (1799530)CaDiCaL version: 2.1.3
% 41.01/10.97  % (1799530)Termination reason: Instruction limit
% 41.01/10.97  % (1799530)Termination phase: shuffling
% 41.01/10.97  % (1799530)Time elapsed: 0.036 s
% 41.01/10.97  % (1799530)Peak memory usage: 28 MB
% 41.01/10.97  % (1799530)Instructions burned: 125 (million)
% 41.01/10.97  % (1799534)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3656067708:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2945 on theBenchmark for (2945ds/464Mi)
% 41.01/10.97  % (1799525)Instruction limit reached! 
% 41.01/10.97  % (1799525)------------------------------
% 41.01/10.97  % (1799525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.01/10.97  % (1799525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.01/10.97  % (1799525)CaDiCaL version: 2.1.3
% 41.01/10.97  % (1799525)Termination reason: Instruction limit
% 41.01/10.97  % (1799525)Termination phase: shuffling
% 41.01/10.97  % (1799525)Time elapsed: 0.155 s
% 41.01/10.97  % (1799525)Peak memory usage: 30 MB
% 41.01/10.97  % (1799525)Instructions burned: 324 (million)
% 41.01/10.97  % (1799532)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=4184159694:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2945 on theBenchmark for (2945ds/223Mi)
% 41.01/10.97  % (1799533)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3255755281:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2945 on theBenchmark for (2945ds/282Mi)
% 41.01/10.97  % (1799536)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=3186218104:i=88:s2at=3:nm=2:rtra=on:rawr=on_2945 on theBenchmark for (2945ds/88Mi)
% 41.01/10.97  % (1799528)Instruction limit reached! 
% 41.01/10.97  % (1799528)------------------------------
% 41.01/10.97  % (1799528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.01/10.97  % (1799528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.01/10.97  % (1799528)CaDiCaL version: 2.1.3
% 41.01/10.97  % (1799528)Termination reason: Instruction limit
% 41.01/10.97  % (1799528)Termination phase: shuffling
% 41.01/10.97  % (1799528)Time elapsed: 0.119 s
% 41.01/10.97  % (1799528)Peak memory usage: 29 MB
% 41.01/10.97  % (1799528)Instructions burned: 240 (million)
% 41.01/10.97  % (1799540)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1086944416:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2944 on theBenchmark for (2944ds/280Mi)
% 41.01/10.97  % (1799536)Instruction limit reached! 
% 41.01/10.97  % (1799536)------------------------------
% 41.01/10.97  % (1799536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.01/10.97  % (1799536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.01/10.97  % (1799536)CaDiCaL version: 2.1.3
% 41.01/10.97  % (1799536)Termination reason: Instruction limit
% 41.01/10.97  % (1799536)Termination phase: shuffling
% 41.01/10.97  % (1799536)Time elapsed: 0.052 s
% 41.01/10.97  % (1799536)Peak memory usage: 27 MB
% 41.01/10.97  % (1799536)Instructions burned: 90 (million)
% 41.01/10.97  % (1799542)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 43.58/11.26  % (1799542)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2794687083:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2944 on theBenchmark for (2944ds/4386Mi)
% 43.58/11.26  % (1799532)Instruction limit reached! 
% 43.58/11.26  % (1799532)------------------------------
% 43.58/11.26  % (1799532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.58/11.26  % (1799532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.58/11.26  % (1799532)CaDiCaL version: 2.1.3
% 43.58/11.26  % (1799532)Termination reason: Instruction limit
% 43.58/11.26  % (1799532)Termination phase: shuffling
% 43.58/11.26  % (1799532)Time elapsed: 0.109 s
% 43.58/11.26  % (1799532)Peak memory usage: 29 MB
% 43.58/11.26  % (1799532)Instructions burned: 225 (million)
% 43.58/11.26  % (1799534)Instruction limit reached! 
% 43.58/11.26  % (1799534)------------------------------
% 43.58/11.26  % (1799534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.58/11.26  % (1799534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.58/11.26  % (1799534)CaDiCaL version: 2.1.3
% 43.58/11.26  % (1799534)Termination reason: Instruction limit
% 43.58/11.26  % (1799534)Termination phase: shuffling
% 43.58/11.26  % (1799534)Time elapsed: 0.123 s
% 43.58/11.26  % (1799534)Peak memory usage: 35 MB
% 43.58/11.26  % (1799534)Instructions burned: 467 (million)
% 43.58/11.26  % (1799544)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 43.58/11.26  % (1799544)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 43.58/11.26  % (1799545)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=855002582:i=73:rtra=on_2944 on theBenchmark for (2944ds/73Mi)
% 43.58/11.26  % (1799544)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2193898560:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2944 on theBenchmark for (2944ds/483Mi)
% 43.58/11.26  % (1799533)Instruction limit reached! 
% 43.58/11.26  % (1799533)------------------------------
% 43.58/11.26  % (1799533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.58/11.26  % (1799533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.58/11.26  % (1799533)CaDiCaL version: 2.1.3
% 43.58/11.26  % (1799533)Termination reason: Instruction limit
% 43.58/11.26  % (1799533)Termination phase: shuffling
% 43.58/11.26  % (1799533)Time elapsed: 0.132 s
% 43.58/11.26  % (1799533)Peak memory usage: 30 MB
% 43.58/11.26  % (1799533)Instructions burned: 283 (million)
% 43.58/11.26  % (1799548)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2397836871:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2943 on theBenchmark for (2943ds/176Mi)
% 43.58/11.26  % (1799545)Instruction limit reached! 
% 43.58/11.26  % (1799545)------------------------------
% 43.58/11.26  % (1799545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.58/11.26  % (1799545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.58/11.26  % (1799545)CaDiCaL version: 2.1.3
% 43.58/11.26  % (1799545)Termination reason: Instruction limit
% 43.58/11.26  % (1799545)Termination phase: shuffling
% 43.58/11.26  % (1799545)Time elapsed: 0.026 s
% 43.58/11.26  % (1799545)Peak memory usage: 27 MB
% 43.58/11.26  % (1799545)Instructions burned: 73 (million)
% 43.58/11.26  % (1799550)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 43.58/11.26  % (1799550)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1126443471:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2943 on theBenchmark for (2943ds/39Mi)
% 43.58/11.26  % (1799550)Instruction limit reached! 
% 43.58/11.26  % (1799550)------------------------------
% 43.58/11.26  % (1799550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.58/11.26  % (1799550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.58/11.26  % (1799550)CaDiCaL version: 2.1.3
% 43.58/11.26  % (1799550)Termination reason: Instruction limit
% 43.58/11.26  % (1799550)Termination phase: shuffling
% 43.58/11.26  % (1799550)Time elapsed: 0.018 s
% 43.58/11.26  % (1799550)Peak memory usage: 27 MB
% 43.58/11.26  % (1799550)Instructions burned: 42 (million)
% 43.58/11.26  % (1799552)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3242487149:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2943 on theBenchmark for (2943ds/708Mi)
% 46.09/11.64  % (1799540)Instruction limit reached! 
% 46.09/11.64  % (1799540)------------------------------
% 46.09/11.64  % (1799540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.09/11.64  % (1799540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.09/11.64  % (1799540)CaDiCaL version: 2.1.3
% 46.09/11.64  % (1799540)Termination reason: Instruction limit
% 46.09/11.64  % (1799540)Termination phase: shuffling
% 46.09/11.64  % (1799540)Time elapsed: 0.141 s
% 46.09/11.64  % (1799540)Peak memory usage: 32 MB
% 46.09/11.64  % (1799540)Instructions burned: 282 (million)
% 46.09/11.64  % (1799554)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
% 46.09/11.64  % (1799554)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=2134302826:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2943 on theBenchmark for (2943ds/252Mi)
% 46.09/11.64  % (1799548)Instruction limit reached! 
% 46.09/11.64  % (1799548)------------------------------
% 46.09/11.64  % (1799548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.09/11.64  % (1799548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.09/11.64  % (1799548)CaDiCaL version: 2.1.3
% 46.09/11.64  % (1799548)Termination reason: Instruction limit
% 46.09/11.64  % (1799548)Termination phase: shuffling
% 46.09/11.64  % (1799548)Time elapsed: 0.092 s
% 46.09/11.64  % (1799548)Peak memory usage: 29 MB
% 46.09/11.64  % (1799548)Instructions burned: 177 (million)
% 46.09/11.64  % (1799556)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=445812910:i=823:fsr=off:rtra=on_2942 on theBenchmark for (2942ds/823Mi)
% 46.09/11.64  % (1799544)Instruction limit reached! 
% 46.09/11.64  % (1799544)------------------------------
% 46.09/11.64  % (1799544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.09/11.64  % (1799544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.09/11.64  % (1799544)CaDiCaL version: 2.1.3
% 46.09/11.64  % (1799544)Termination reason: Instruction limit
% 46.09/11.64  % (1799544)Termination phase: shuffling
% 46.09/11.64  % (1799544)Time elapsed: 0.219 s
% 46.09/11.64  % (1799544)Peak memory usage: 32 MB
% 46.09/11.64  % (1799544)Instructions burned: 485 (million)
% 46.09/11.64  % (1799554)Instruction limit reached! 
% 46.09/11.64  % (1799554)------------------------------
% 46.09/11.64  % (1799554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.09/11.64  % (1799554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.09/11.64  % (1799554)CaDiCaL version: 2.1.3
% 46.09/11.64  % (1799554)Termination reason: Instruction limit
% 46.09/11.64  % (1799554)Termination phase: shuffling
% 46.09/11.64  % (1799554)Time elapsed: 0.120 s
% 46.09/11.64  % (1799554)Peak memory usage: 29 MB
% 46.09/11.64  % (1799554)Instructions burned: 253 (million)
% 46.09/11.64  % (1799558)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 46.09/11.64  % (1799558)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2758665776:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2941 on theBenchmark for (2941ds/16202Mi)
% 46.09/11.64  % (1799552)Instruction limit reached! 
% 46.09/11.64  % (1799552)------------------------------
% 46.09/11.64  % (1799552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.09/11.64  % (1799552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.09/11.64  % (1799552)CaDiCaL version: 2.1.3
% 46.09/11.64  % (1799552)Termination reason: Instruction limit
% 46.09/11.64  % (1799552)Termination phase: shuffling
% 46.09/11.64  % (1799552)Time elapsed: 0.174 s
% 46.09/11.64  % (1799552)Peak memory usage: 35 MB
% 46.09/11.64  % (1799552)Instructions burned: 709 (million)
% 46.09/11.64  % (1799559)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=868042788:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2941 on theBenchmark for (2941ds/300Mi)
% 46.09/11.64  % (1799562)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 46.09/11.64  % (1799562)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 49.75/12.10  % (1799562)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1902934681:i=177:add=on:bd=preordered:rtra=on:rawr=on_2941 on theBenchmark for (2941ds/177Mi)
% 49.75/12.10  % (1799562)Instruction limit reached! 
% 49.75/12.10  % (1799562)------------------------------
% 49.75/12.10  % (1799562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.75/12.10  % (1799562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.75/12.10  % (1799562)CaDiCaL version: 2.1.3
% 49.75/12.10  % (1799562)Termination reason: Instruction limit
% 49.75/12.10  % (1799562)Termination phase: shuffling
% 49.75/12.10  % (1799562)Time elapsed: 0.050 s
% 49.75/12.10  % (1799562)Peak memory usage: 28 MB
% 49.75/12.10  % (1799562)Instructions burned: 190 (million)
% 49.75/12.10  % (1799564)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3143691586:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2940 on theBenchmark for (2940ds/715Mi)
% 49.75/12.10  % (1799559)Instruction limit reached! 
% 49.75/12.10  % (1799559)------------------------------
% 49.75/12.10  % (1799559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.75/12.10  % (1799559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.75/12.10  % (1799559)CaDiCaL version: 2.1.3
% 49.75/12.10  % (1799559)Termination reason: Instruction limit
% 49.75/12.10  % (1799559)Termination phase: shuffling
% 49.75/12.10  % (1799559)Time elapsed: 0.149 s
% 49.75/12.10  % (1799559)Peak memory usage: 32 MB
% 49.75/12.10  % (1799559)Instructions burned: 301 (million)
% 49.75/12.10  % (1799566)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 49.75/12.10  % (1799566)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 49.75/12.10  % (1799566)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=3204157160:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2940 on theBenchmark for (2940ds/230Mi)
% 49.75/12.10  % (1799564)Instruction limit reached! 
% 49.75/12.10  % (1799564)------------------------------
% 49.75/12.10  % (1799564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.75/12.10  % (1799564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.75/12.10  % (1799564)CaDiCaL version: 2.1.3
% 49.75/12.10  % (1799564)Termination reason: Instruction limit
% 49.75/12.10  % (1799564)Termination phase: shuffling
% 49.75/12.10  % (1799564)Time elapsed: 0.181 s
% 49.75/12.10  % (1799564)Peak memory usage: 39 MB
% 49.75/12.10  % (1799564)Instructions burned: 715 (million)
% 49.75/12.10  % (1799568)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1251478787:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2938 on theBenchmark for (2938ds/606Mi)
% 49.75/12.10  % (1799556)Instruction limit reached! 
% 49.75/12.10  % (1799556)------------------------------
% 49.75/12.10  % (1799556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.75/12.10  % (1799556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.75/12.10  % (1799556)CaDiCaL version: 2.1.3
% 49.75/12.10  % (1799556)Termination reason: Instruction limit
% 49.75/12.10  % (1799556)Termination phase: shuffling
% 49.75/12.10  % (1799556)Time elapsed: 0.388 s
% 49.75/12.10  % (1799556)Peak memory usage: 44 MB
% 49.75/12.10  % (1799556)Instructions burned: 825 (million)
% 49.75/12.10  % (1799566)Instruction limit reached! 
% 49.75/12.10  % (1799566)------------------------------
% 49.75/12.10  % (1799566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.75/12.10  % (1799566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.75/12.10  % (1799566)CaDiCaL version: 2.1.3
% 49.75/12.10  % (1799566)Termination reason: Instruction limit
% 49.75/12.10  % (1799566)Termination phase: shuffling
% 49.75/12.10  % (1799566)Time elapsed: 0.114 s
% 49.75/12.10  % (1799566)Peak memory usage: 30 MB
% 49.75/12.10  % (1799566)Instructions burned: 230 (million)
% 49.75/12.10  % (1799570)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 49.75/12.10  % (1799570)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2021752200:lrd=on:i=841:nm=0:rtra=on_2938 on theBenchmark for (2938ds/841Mi)
% 49.75/12.10  % (1799571)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1110321559:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2938 on theBenchmark for (2938ds/445Mi)
% 52.33/12.54  % (1799568)Instruction limit reached! 
% 52.33/12.54  % (1799568)------------------------------
% 52.33/12.54  % (1799568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.33/12.54  % (1799568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.33/12.54  % (1799568)CaDiCaL version: 2.1.3
% 52.33/12.54  % (1799568)Termination reason: Instruction limit
% 52.33/12.54  % (1799568)Termination phase: shuffling
% 52.33/12.54  % (1799568)Time elapsed: 0.150 s
% 52.33/12.54  % (1799568)Peak memory usage: 34 MB
% 52.33/12.54  % (1799568)Instructions burned: 609 (million)
% 52.33/12.54  % (1799574)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2264668975:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2937 on theBenchmark for (2937ds/71Mi)
% 52.33/12.54  % (1799574)Instruction limit reached! 
% 52.33/12.54  % (1799574)------------------------------
% 52.33/12.54  % (1799574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.33/12.54  % (1799574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.33/12.54  % (1799574)CaDiCaL version: 2.1.3
% 52.33/12.54  % (1799574)Termination reason: Instruction limit
% 52.33/12.54  % (1799574)Termination phase: shuffling
% 52.33/12.54  % (1799574)Time elapsed: 0.025 s
% 52.33/12.54  % (1799574)Peak memory usage: 27 MB
% 52.33/12.54  % (1799574)Instructions burned: 73 (million)
% 52.33/12.54  % (1799576)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
% 52.33/12.54  % (1799576)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 52.33/12.54  % (1799576)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1665852775:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2936 on theBenchmark for (2936ds/100Mi)
% 52.33/12.54  % (1799571)Instruction limit reached! 
% 52.33/12.54  % (1799571)------------------------------
% 52.33/12.54  % (1799571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.33/12.54  % (1799571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.33/12.54  % (1799571)CaDiCaL version: 2.1.3
% 52.33/12.54  % (1799571)Termination reason: Instruction limit
% 52.33/12.54  % (1799571)Termination phase: shuffling
% 52.33/12.54  % (1799571)Time elapsed: 0.203 s
% 52.33/12.54  % (1799571)Peak memory usage: 32 MB
% 52.33/12.54  % (1799571)Instructions burned: 446 (million)
% 52.33/12.54  % (1799576)Instruction limit reached! 
% 52.33/12.54  % (1799576)------------------------------
% 52.33/12.54  % (1799576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.33/12.54  % (1799576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.33/12.54  % (1799576)CaDiCaL version: 2.1.3
% 52.33/12.54  % (1799576)Termination reason: Instruction limit
% 52.33/12.54  % (1799576)Termination phase: shuffling
% 52.33/12.54  % (1799576)Time elapsed: 0.032 s
% 52.33/12.54  % (1799576)Peak memory usage: 28 MB
% 52.33/12.54  % (1799576)Instructions burned: 104 (million)
% 52.33/12.54  % (1799578)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 52.33/12.54  % (1799578)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=2023389089:i=1352:add=on:aac=none:rtra=on_2936 on theBenchmark for (2936ds/1352Mi)
% 52.33/12.54  % (1799579)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=3244513087:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2936 on theBenchmark for (2936ds/646Mi)
% 52.33/12.54  % (1799570)Instruction limit reached! 
% 52.33/12.54  % (1799570)------------------------------
% 52.33/12.54  % (1799570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.33/12.54  % (1799570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.33/12.54  % (1799570)CaDiCaL version: 2.1.3
% 52.33/12.54  % (1799570)Termination reason: Instruction limit
% 52.33/12.54  % (1799570)Termination phase: shuffling
% 52.33/12.54  % (1799570)Time elapsed: 0.372 s
% 52.33/12.54  % (1799570)Peak memory usage: 36 MB
% 53.35/12.83  % (1799570)Instructions burned: 841 (million)
% 53.35/12.83  % (1799421)Instruction limit reached! 
% 53.35/12.83  % (1799421)------------------------------
% 53.35/12.83  % (1799421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.35/12.83  % (1799421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.35/12.83  % (1799421)CaDiCaL version: 2.1.3
% 53.35/12.83  % (1799421)Termination reason: Instruction limit
% 53.35/12.83  % (1799421)Termination phase: Saturation
% 53.35/12.83  % (1799421)Time elapsed: 2.302 s
% 53.35/12.83  % (1799421)Peak memory usage: 57 MB
% 53.35/12.83  % (1799421)Instructions burned: 4981 (million)
% 53.35/12.83  % (1799582)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1014934851:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2934 on theBenchmark for (2934ds/1924Mi)
% 53.35/12.83  % (1799583)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3183682039:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2934 on theBenchmark for (2934ds/984Mi)
% 53.35/12.83  % (1799579)Instruction limit reached! 
% 53.35/12.83  % (1799579)------------------------------
% 53.35/12.83  % (1799579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.35/12.83  % (1799579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.35/12.83  % (1799579)CaDiCaL version: 2.1.3
% 53.35/12.83  % (1799579)Termination reason: Instruction limit
% 53.35/12.83  % (1799579)Termination phase: Property scanning
% 53.35/12.83  % (1799579)Time elapsed: 0.289 s
% 53.35/12.83  % (1799579)Peak memory usage: 26 MB
% 53.35/12.83  % (1799579)Instructions burned: 647 (million)
% 53.35/12.83  % (1799586)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=16460659:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2933 on theBenchmark for (2933ds/592Mi)
% 53.35/12.83  % (1799578)Instruction limit reached! 
% 53.35/12.83  % (1799578)------------------------------
% 53.35/12.83  % (1799578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.35/12.83  % (1799578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.35/12.83  % (1799578)CaDiCaL version: 2.1.3
% 53.35/12.83  % (1799578)Termination reason: Instruction limit
% 53.35/12.83  % (1799578)Termination phase: shuffling
% 53.35/12.83  % (1799578)Time elapsed: 0.340 s
% 53.35/12.83  % (1799578)Peak memory usage: 52 MB
% 53.35/12.83  % (1799578)Instructions burned: 1354 (million)
% 53.35/12.83  % (1799588)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=338281421:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2932 on theBenchmark for (2932ds/872Mi)
% 53.35/12.83  % (1799588)Instruction limit reached! 
% 53.35/12.83  % (1799588)------------------------------
% 53.35/12.83  % (1799588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.35/12.83  % (1799588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.35/12.83  % (1799588)CaDiCaL version: 2.1.3
% 53.35/12.83  % (1799588)Termination reason: Instruction limit
% 53.35/12.83  % (1799588)Termination phase: shuffling
% 53.35/12.83  % (1799588)Time elapsed: 0.209 s
% 53.35/12.83  % (1799588)Peak memory usage: 37 MB
% 53.35/12.83  % (1799588)Instructions burned: 875 (million)
% 53.35/12.83  % (1799590)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 53.35/12.83  % (1799590)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=3199986178:i=999:add=on:rtra=on_2930 on theBenchmark for (2930ds/999Mi)
% 53.35/12.83  % (1799586)Instruction limit reached! 
% 53.35/12.83  % (1799586)------------------------------
% 53.35/12.83  % (1799586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.35/12.83  % (1799586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.35/12.83  % (1799586)CaDiCaL version: 2.1.3
% 53.35/12.83  % (1799586)Termination reason: Instruction limit
% 53.35/12.83  % (1799586)Termination phase: shuffling
% 53.35/12.83  % (1799586)Time elapsed: 0.269 s
% 53.35/12.83  % (1799586)Peak memory usage: 34 MB
% 53.35/12.83  % (1799586)Instructions burned: 594 (million)
% 53.35/12.83  % (1799592)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 53.35/12.83  % (1799592)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=650064603:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2930 on theBenchmark for (2930ds/244Mi)
% 60.34/13.66  % (1799583)Instruction limit reached! 
% 60.34/13.66  % (1799583)------------------------------
% 60.34/13.66  % (1799583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.34/13.66  % (1799583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.34/13.66  % (1799583)CaDiCaL version: 2.1.3
% 60.34/13.66  % (1799583)Termination reason: Instruction limit
% 60.34/13.66  % (1799583)Termination phase: Property scanning
% 60.34/13.66  % (1799583)Time elapsed: 0.437 s
% 60.34/13.66  % (1799583)Peak memory usage: 39 MB
% 60.34/13.66  % (1799583)Instructions burned: 984 (million)
% 60.34/13.66  % (1799594)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3765278011:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2930 on theBenchmark for (2930ds/113Mi)
% 60.34/13.66  % (1799594)Instruction limit reached! 
% 60.34/13.66  % (1799594)------------------------------
% 60.34/13.66  % (1799594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.34/13.66  % (1799594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.34/13.66  % (1799594)CaDiCaL version: 2.1.3
% 60.34/13.66  % (1799594)Termination reason: Instruction limit
% 60.34/13.66  % (1799594)Termination phase: shuffling
% 60.34/13.66  % (1799594)Time elapsed: 0.063 s
% 60.34/13.66  % (1799594)Peak memory usage: 28 MB
% 60.34/13.66  % (1799594)Instructions burned: 113 (million)
% 60.34/13.66  % (1799596)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=664652305:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2929 on theBenchmark for (2929ds/7795Mi)
% 60.34/13.66  % (1799592)Instruction limit reached! 
% 60.34/13.66  % (1799592)------------------------------
% 60.34/13.66  % (1799592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.34/13.66  % (1799592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.34/13.66  % (1799592)CaDiCaL version: 2.1.3
% 60.34/13.66  % (1799592)Termination reason: Instruction limit
% 60.34/13.66  % (1799592)Termination phase: shuffling
% 60.34/13.66  % (1799592)Time elapsed: 0.123 s
% 60.34/13.66  % (1799592)Peak memory usage: 32 MB
% 60.34/13.66  % (1799592)Instructions burned: 245 (million)
% 60.34/13.66  % (1799598)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1010439201:st=2:i=5026:sd=1:rtra=on:ss=axioms_2928 on theBenchmark for (2928ds/5026Mi)
% 60.34/13.66  % (1799590)Instruction limit reached! 
% 60.34/13.66  % (1799590)------------------------------
% 60.34/13.66  % (1799590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.34/13.66  % (1799590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.34/13.66  % (1799590)CaDiCaL version: 2.1.3
% 60.34/13.66  % (1799590)Termination reason: Instruction limit
% 60.34/13.66  % (1799590)Termination phase: shuffling
% 60.34/13.66  % (1799590)Time elapsed: 0.255 s
% 60.34/13.66  % (1799590)Peak memory usage: 46 MB
% 60.34/13.66  % (1799590)Instructions burned: 1000 (million)
% 60.34/13.66  % (1799600)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 60.34/13.66  % (1799600)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2778608838:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2927 on theBenchmark for (2927ds/763Mi)
% 60.34/13.66  % (1799600)Instruction limit reached! 
% 60.34/13.66  % (1799600)------------------------------
% 60.34/13.66  % (1799600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.34/13.66  % (1799600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.34/13.66  % (1799600)CaDiCaL version: 2.1.3
% 60.34/13.66  % (1799600)Termination reason: Instruction limit
% 60.34/13.66  % (1799600)Termination phase: shuffling
% 60.34/13.66  % (1799600)Time elapsed: 0.192 s
% 60.34/13.66  % (1799600)Peak memory usage: 40 MB
% 60.34/13.66  % (1799600)Instructions burned: 766 (million)
% 60.34/13.66  % (1799582)Instruction limit reached! 
% 60.34/13.66  % (1799582)------------------------------
% 60.34/13.66  % (1799582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.34/13.66  % (1799582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.34/13.66  % (1799582)CaDiCaL version: 2.1.3
% 60.34/13.66  % (1799582)Termination reason: Instruction limit
% 60.34/13.66  % (1799582)Termination phase: Preprocessing 3
% 60.34/13.66  % (1799582)Time elapsed: 0.871 s
% 60.34/13.66  % (1799582)Peak memory usage: 42 MB
% 60.34/13.66  % (1799582)Instructions burned: 1925 (million)
% 60.34/13.66  % (1799602)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2333326850:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2925 on theBenchmark for (2925ds/1144Mi)
% 65.64/14.40  % (1799603)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 65.64/14.40  % (1799603)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=4239470296:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2925 on theBenchmark for (2925ds/52Mi)
% 65.64/14.40  % (1799542)Instruction limit reached! 
% 65.64/14.40  % (1799542)------------------------------
% 65.64/14.40  % (1799542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.64/14.40  % (1799542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.64/14.40  % (1799542)CaDiCaL version: 2.1.3
% 65.64/14.40  % (1799542)Termination reason: Instruction limit
% 65.64/14.40  % (1799542)Termination phase: Function definition elimination
% 65.64/14.40  % (1799542)Time elapsed: 1.908 s
% 65.64/14.40  % (1799542)Peak memory usage: 59 MB
% 65.64/14.40  % (1799542)Instructions burned: 4387 (million)
% 65.64/14.40  % (1799603)Instruction limit reached! 
% 65.64/14.40  % (1799603)------------------------------
% 65.64/14.40  % (1799603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.64/14.40  % (1799603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.64/14.40  % (1799603)CaDiCaL version: 2.1.3
% 65.64/14.40  % (1799603)Termination reason: Instruction limit
% 65.64/14.40  % (1799603)Termination phase: shuffling
% 65.64/14.40  % (1799603)Time elapsed: 0.036 s
% 65.64/14.40  % (1799603)Peak memory usage: 27 MB
% 65.64/14.40  % (1799603)Instructions burned: 53 (million)
% 65.64/14.40  % (1799606)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3560618139:i=1724:fsr=off:rtra=on:fe=abstraction_2925 on theBenchmark for (2925ds/1724Mi)
% 65.64/14.40  % (1799607)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=3528300416:i=439:add=on:slsql=off:rtra=on:ntd=on_2925 on theBenchmark for (2925ds/439Mi)
% 65.64/14.40  % (1799464)Instruction limit reached! 
% 65.64/14.40  % (1799464)------------------------------
% 65.64/14.40  % (1799464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.64/14.40  % (1799464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.64/14.40  % (1799464)CaDiCaL version: 2.1.3
% 65.64/14.40  % (1799464)Termination reason: Instruction limit
% 65.64/14.40  % (1799464)Termination phase: Property scanning
% 65.64/14.40  % (1799464)Time elapsed: 2.764 s
% 65.64/14.40  % (1799464)Peak memory usage: 69 MB
% 65.64/14.40  % (1799464)Instructions burned: 6359 (million)
% 65.64/14.40  % (1799610)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=281837787:i=6395:sd=1:rtra=on:ss=axioms_2923 on theBenchmark for (2923ds/6395Mi)
% 65.64/14.40  % (1799602)Instruction limit reached! 
% 65.64/14.40  % (1799602)------------------------------
% 65.64/14.40  % (1799602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.64/14.40  % (1799602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.64/14.40  % (1799602)CaDiCaL version: 2.1.3
% 65.64/14.40  % (1799602)Termination reason: Instruction limit
% 65.64/14.40  % (1799602)Termination phase: Property scanning
% 65.64/14.40  % (1799602)Time elapsed: 0.270 s
% 65.64/14.40  % (1799602)Peak memory usage: 38 MB
% 65.64/14.40  % (1799602)Instructions burned: 1145 (million)
% 65.64/14.40  % (1799607)Instruction limit reached! 
% 65.64/14.40  % (1799607)------------------------------
% 65.64/14.40  % (1799607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.64/14.40  % (1799607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.64/14.40  % (1799607)CaDiCaL version: 2.1.3
% 65.64/14.40  % (1799607)Termination reason: Instruction limit
% 65.64/14.40  % (1799607)Termination phase: shuffling
% 65.64/14.40  % (1799607)Time elapsed: 0.199 s
% 65.64/14.40  % (1799607)Peak memory usage: 32 MB
% 65.64/14.40  % (1799607)Instructions burned: 440 (million)
% 65.64/14.40  % (1799612)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 65.64/14.40  % (1799612)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2173413638:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2922 on theBenchmark for (2922ds/6762Mi)
% 65.64/14.40  % (1799613)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 68.67/15.02  % (1799613)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=543361622:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2922 on theBenchmark for (2922ds/376Mi)
% 68.67/15.02  % (1799613)Instruction limit reached! 
% 68.67/15.02  % (1799613)------------------------------
% 68.67/15.02  % (1799613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.67/15.02  % (1799613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.67/15.02  % (1799613)CaDiCaL version: 2.1.3
% 68.67/15.02  % (1799613)Termination reason: Instruction limit
% 68.67/15.02  % (1799613)Termination phase: shuffling
% 68.67/15.02  % (1799613)Time elapsed: 0.180 s
% 68.67/15.02  % (1799613)Peak memory usage: 33 MB
% 68.67/15.02  % (1799613)Instructions burned: 378 (million)
% 68.67/15.02  % (1799616)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=3485856868:i=965:bd=all:ins=4:rtra=on_2920 on theBenchmark for (2920ds/965Mi)
% 68.67/15.02  % (1799606)Instruction limit reached! 
% 68.67/15.02  % (1799606)------------------------------
% 68.67/15.02  % (1799606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.67/15.02  % (1799606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.67/15.02  % (1799606)CaDiCaL version: 2.1.3
% 68.67/15.02  % (1799606)Termination reason: Instruction limit
% 68.67/15.02  % (1799606)Termination phase: Preprocessing 1
% 68.67/15.02  % (1799606)Time elapsed: 0.750 s
% 68.67/15.02  % (1799606)Peak memory usage: 40 MB
% 68.67/15.02  % (1799606)Instructions burned: 1724 (million)
% 68.67/15.02  % (1799598)Refutation not found, incomplete strategy
% 68.67/15.02  % (1799598)------------------------------
% 68.67/15.02  % (1799598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.67/15.02  % (1799598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.67/15.02  % (1799598)CaDiCaL version: 2.1.3
% 68.67/15.02  % (1799598)Termination reason: Refutation not found, incomplete strategy
% 68.67/15.02  % (1799598)Time elapsed: 1.115 s
% 68.67/15.02  % (1799598)Peak memory usage: 48 MB
% 68.67/15.02  % (1799598)Instructions burned: 2520 (million)
% 68.67/15.02  % (1799598)------------------------------
% 68.67/15.02  % (1799598)------------------------------
% 68.67/15.02  % (1799618)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1704461878:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2917 on theBenchmark for (2917ds/5013Mi)
% 68.67/15.02  % (1799620)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3804860472:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2917 on theBenchmark for (2917ds/1583Mi)
% 68.67/15.02  % (1799616)Instruction limit reached! 
% 68.67/15.02  % (1799616)------------------------------
% 68.67/15.02  % (1799616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.67/15.02  % (1799616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.67/15.02  % (1799616)CaDiCaL version: 2.1.3
% 68.67/15.02  % (1799616)Termination reason: Instruction limit
% 68.67/15.02  % (1799616)Termination phase: shuffling
% 68.67/15.02  % (1799616)Time elapsed: 0.447 s
% 68.67/15.02  % (1799616)Peak memory usage: 46 MB
% 68.67/15.02  % (1799616)Instructions burned: 966 (million)
% 68.67/15.02  % (1799622)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 68.67/15.02  % (1799622)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 68.67/15.02  % (1799622)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) 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
% 68.67/15.02  % (1799622)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 68.67/15.02  % (1799622)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=2649026245:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2916 on theBenchmark for (2916ds/1774Mi)
% 68.67/15.02  % (1799596)Refutation not found, incomplete strategy
% 68.67/15.02  % (1799596)------------------------------
% 68.67/15.02  % (1799596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.67/15.02  % (1799596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.17/15.84  % (1799596)CaDiCaL version: 2.1.3
% 76.17/15.84  % (1799596)Termination reason: Refutation not found, incomplete strategy
% 76.17/15.84  % (1799596)Time elapsed: 1.445 s
% 76.17/15.84  % (1799596)Peak memory usage: 53 MB
% 76.17/15.84  % (1799596)Instructions burned: 3228 (million)
% 76.17/15.84  % (1799596)------------------------------
% 76.17/15.84  % (1799596)------------------------------
% 76.17/15.84  % (1799624)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1188429047:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2914 on theBenchmark for (2914ds/515Mi)
% 76.17/15.84  % (1799624)Instruction limit reached! 
% 76.17/15.84  % (1799624)------------------------------
% 76.17/15.84  % (1799624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.17/15.84  % (1799624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.17/15.84  % (1799624)CaDiCaL version: 2.1.3
% 76.17/15.84  % (1799624)Termination reason: Instruction limit
% 76.17/15.84  % (1799624)Termination phase: shuffling
% 76.17/15.84  % (1799624)Time elapsed: 0.235 s
% 76.17/15.84  % (1799624)Peak memory usage: 33 MB
% 76.17/15.84  % (1799624)Instructions burned: 516 (million)
% 76.17/15.84  % (1799626)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 76.17/15.84  % (1799626)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=3575673976:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2911 on theBenchmark for (2911ds/1297Mi)
% 76.17/15.84  % (1799620)Instruction limit reached! 
% 76.17/15.84  % (1799620)------------------------------
% 76.17/15.84  % (1799620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.17/15.84  % (1799620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.17/15.84  % (1799620)CaDiCaL version: 2.1.3
% 76.17/15.84  % (1799620)Termination reason: Instruction limit
% 76.17/15.84  % (1799620)Termination phase: Property scanning
% 76.17/15.84  % (1799620)Time elapsed: 0.684 s
% 76.17/15.84  % (1799620)Peak memory usage: 39 MB
% 76.17/15.84  % (1799620)Instructions burned: 1584 (million)
% 76.17/15.84  % (1799628)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1444431419:s2a=on:i=611:rtra=on:gsp=on_2910 on theBenchmark for (2910ds/611Mi)
% 76.17/15.84  % (1799622)Instruction limit reached! 
% 76.17/15.84  % (1799622)------------------------------
% 76.17/15.84  % (1799622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.17/15.84  % (1799622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.17/15.84  % (1799622)CaDiCaL version: 2.1.3
% 76.17/15.84  % (1799622)Termination reason: Instruction limit
% 76.17/15.84  % (1799622)Termination phase: SInE selection
% 76.17/15.84  % (1799622)Time elapsed: 0.790 s
% 76.17/15.84  % (1799622)Peak memory usage: 38 MB
% 76.17/15.84  % (1799622)Instructions burned: 1775 (million)
% 76.17/15.84  % (1799630)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 76.17/15.84  % (1799630)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=103382758:i=72:bd=all:rtra=on_2908 on theBenchmark for (2908ds/72Mi)
% 76.17/15.84  % (1799630)Instruction limit reached! 
% 76.17/15.84  % (1799630)------------------------------
% 76.17/15.84  % (1799630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.17/15.84  % (1799630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.17/15.84  % (1799630)CaDiCaL version: 2.1.3
% 76.17/15.84  % (1799630)Termination reason: Instruction limit
% 76.17/15.84  % (1799630)Termination phase: shuffling
% 76.17/15.84  % (1799630)Time elapsed: 0.046 s
% 76.17/15.84  % (1799630)Peak memory usage: 27 MB
% 76.17/15.84  % (1799630)Instructions burned: 73 (million)
% 76.17/15.84  % (1799628)Instruction limit reached! 
% 76.17/15.84  % (1799628)------------------------------
% 76.17/15.84  % (1799628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.17/15.84  % (1799628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.17/15.84  % (1799628)CaDiCaL version: 2.1.3
% 76.17/15.84  % (1799628)Termination reason: Instruction limit
% 76.17/15.84  % (1799628)Termination phase: shuffling
% 76.17/15.84  % (1799628)Time elapsed: 0.273 s
% 76.17/15.84  % (1799628)Peak memory usage: 34 MB
% 76.17/15.84  % (1799628)Instructions burned: 611 (million)
% 78.12/16.06  % (1799632)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=2232201529:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2907 on theBenchmark for (2907ds/6580Mi)
% 78.12/16.06  % (1799633)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2672102945:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2907 on theBenchmark for (2907ds/6209Mi)
% 78.12/16.06  % (1799626)Instruction limit reached! 
% 78.12/16.06  % (1799626)------------------------------
% 78.12/16.06  % (1799626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799626)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799626)Termination reason: Instruction limit
% 78.12/16.06  % (1799626)Termination phase: Property scanning
% 78.12/16.06  % (1799626)Time elapsed: 0.565 s
% 78.12/16.06  % (1799626)Peak memory usage: 39 MB
% 78.12/16.06  % (1799626)Instructions burned: 1298 (million)
% 78.12/16.06  % (1799636)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1349732115:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2905 on theBenchmark for (2905ds/1003Mi)
% 78.12/16.06  % (1799612)Instruction limit reached! 
% 78.12/16.06  % (1799612)------------------------------
% 78.12/16.06  % (1799612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799612)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799612)Termination reason: Instruction limit
% 78.12/16.06  % (1799612)Termination phase: Saturation
% 78.12/16.06  % (1799612)Time elapsed: 1.779 s
% 78.12/16.06  % (1799612)Peak memory usage: 88 MB
% 78.12/16.06  % (1799612)Instructions burned: 6765 (million)
% 78.12/16.06  % (1799638)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 78.12/16.06  % (1799638)ott+1002_16_sil=128000:si=on:random_seed=906400747:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2904 on theBenchmark for (2904ds/409Mi)
% 78.12/16.06  % (1799638)Instruction limit reached! 
% 78.12/16.06  % (1799638)------------------------------
% 78.12/16.06  % (1799638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799638)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799638)Termination reason: Instruction limit
% 78.12/16.06  % (1799638)Termination phase: shuffling
% 78.12/16.06  % (1799638)Time elapsed: 0.102 s
% 78.12/16.06  % (1799638)Peak memory usage: 31 MB
% 78.12/16.06  % (1799638)Instructions burned: 411 (million)
% 78.12/16.06  % (1799640)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1878087318:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2903 on theBenchmark for (2903ds/403Mi)
% 78.12/16.06  % (1799640)Instruction limit reached! 
% 78.12/16.06  % (1799640)------------------------------
% 78.12/16.06  % (1799640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799640)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799640)Termination reason: Instruction limit
% 78.12/16.06  % (1799640)Termination phase: shuffling
% 78.12/16.06  % (1799640)Time elapsed: 0.105 s
% 78.12/16.06  % (1799640)Peak memory usage: 34 MB
% 78.12/16.06  % (1799640)Instructions burned: 405 (million)
% 78.12/16.06  % (1799642)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2074848460:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2902 on theBenchmark for (2902ds/6843Mi)
% 78.12/16.06  % (1799636)Instruction limit reached! 
% 78.12/16.06  % (1799636)------------------------------
% 78.12/16.06  % (1799636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799636)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799636)Termination reason: Instruction limit
% 78.12/16.06  % (1799636)Termination phase: Property scanning
% 78.12/16.06  % (1799636)Time elapsed: 0.439 s
% 78.12/16.06  % (1799636)Peak memory usage: 38 MB
% 78.12/16.06  % (1799636)Instructions burned: 1005 (million)
% 78.12/16.06  % (1799644)lrs+10_2:1_si=on:random_seed=134248887:s2a=on:i=506:rtra=on:fe=abstraction_2901 on theBenchmark for (2901ds/506Mi)
% 78.12/16.06  % (1799644)Instruction limit reached! 
% 78.12/16.06  % (1799644)------------------------------
% 78.12/16.06  % (1799644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799644)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799644)Termination reason: Instruction limit
% 78.12/16.06  % (1799644)Termination phase: shuffling
% 78.12/16.06  % (1799644)Time elapsed: 0.230 s
% 78.12/16.06  % (1799644)Peak memory usage: 32 MB
% 78.12/16.06  % (1799644)Instructions burned: 507 (million)
% 78.12/16.06  % (1799646)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=410341667:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2898 on theBenchmark for (2898ds/888Mi)
% 78.12/16.06  % (1799618)Instruction limit reached! 
% 78.12/16.06  % (1799618)------------------------------
% 78.12/16.06  % (1799618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799618)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799618)Termination reason: Instruction limit
% 78.12/16.06  % (1799618)Termination phase: Saturation
% 78.12/16.06  % (1799618)Time elapsed: 2.289 s
% 78.12/16.06  % (1799618)Peak memory usage: 54 MB
% 78.12/16.06  % (1799618)Instructions burned: 5013 (million)
% 78.12/16.06  % (1799646)Instruction limit reached! 
% 78.12/16.06  % (1799646)------------------------------
% 78.12/16.06  % (1799646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799646)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799646)Termination reason: Instruction limit
% 78.12/16.06  % (1799646)Termination phase: shuffling
% 78.12/16.06  % (1799646)Time elapsed: 0.416 s
% 78.12/16.06  % (1799646)Peak memory usage: 44 MB
% 78.12/16.06  % (1799646)Instructions burned: 889 (million)
% 78.12/16.06  % (1799610)Instruction limit reached! 
% 78.12/16.06  % (1799610)------------------------------
% 78.12/16.06  % (1799610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799610)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799610)Termination reason: Instruction limit
% 78.12/16.06  % (1799610)Termination phase: Saturation
% 78.12/16.06  % (1799610)Time elapsed: 2.889 s
% 78.12/16.06  % (1799610)Peak memory usage: 47 MB
% 78.12/16.06  % (1799610)Instructions burned: 6396 (million)
% 78.12/16.06  % (1799648)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 78.12/16.06  % (1799648)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=1220128560:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2894 on theBenchmark for (2894ds/416Mi)
% 78.12/16.06  % (1799650)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 78.12/16.06  % (1799649)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=85392711:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2894 on theBenchmark for (2894ds/13534Mi)
% 78.12/16.06  % (1799650)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=405013099:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2894 on theBenchmark for (2894ds/206Mi)
% 78.12/16.06  % (1799650)Instruction limit reached! 
% 78.12/16.06  % (1799650)------------------------------
% 78.12/16.06  % (1799650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799650)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799650)Termination reason: Instruction limit
% 78.12/16.06  % (1799650)Termination phase: shuffling
% 78.12/16.06  % (1799650)Time elapsed: 0.102 s
% 78.12/16.06  % (1799650)Peak memory usage: 29 MB
% 78.12/16.06  % (1799650)Instructions burned: 206 (million)
% 78.12/16.06  % (1799654)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=1049490314:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2892 on theBenchmark for (2892ds/2295Mi)
% 78.12/16.06  % (1799648)Instruction limit reached! 
% 78.12/16.06  % (1799648)------------------------------
% 78.12/16.06  % (1799648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.06  % (1799648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.06  % (1799648)CaDiCaL version: 2.1.3
% 78.12/16.06  % (1799648)Termination reason: Instruction limit
% 78.12/16.06  % (1799648)Termination phase: shuffling
% 78.12/16.06  % (1799648)Time elapsed: 0.202 s
% 78.12/16.06  % (1799648)Peak memory usage: 34 MB
% 78.12/16.06  % (1799648)Instructions burned: 417 (million)
% 78.12/16.06  % (1799656)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3046134258:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2892 on theBenchmark for (2892ds/637Mi)
% 78.12/16.06  % (1799642) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1799141-1799642"...
% 78.12/16.06  % (1799642)...printing done.
% 78.12/16.06  % (1799642)Refutation found. Thanks to Tanya!
% 78.12/16.06  % SZS status Theorem for theBenchmark
% 78.12/16.06  % SZS output start Proof for theBenchmark
% See solution above
% 78.12/16.08  % (1799642)------------------------------
% 78.12/16.08  % (1799642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.12/16.08  % (1799642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.12/16.08  % (1799642)CaDiCaL version: 2.1.3
% 78.12/16.08  % (1799642)Termination reason: Refutation
% 78.12/16.08  % (1799642)Time elapsed: 1.169 s
% 78.12/16.08  % (1799642)Peak memory usage: 75 MB
% 78.12/16.08  % (1799642)Instructions burned: 4672 (million)
% 78.12/16.08  % (1799141)Success in time 10.955 s
% 78.12/16.08  % Vampire exiting
%------------------------------------------------------------------------------