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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP233^3 : 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 : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:09:11 AM UTC 2026

% Result   : Theorem 22.04s 7.21s
% Output   : Refutation 22.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   49 (  27 unt;   0 typ;   5 def)
%            Number of atoms       :  110 (  26 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  478 (  42   ~;  30   |;   0   &; 401   @)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :  144 ( 143 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2332 (2329 usr;  74 con; 0-5 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   4   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1542805901266377927at_nat: $tType ).

thf(type_def_6,type,
    produc4471711990508489141at_nat: $tType ).

thf(type_def_7,type,
    produc6392793444374437607at_nat: $tType ).

thf(type_def_8,type,
    list_P8469869581646625389at_nat: $tType ).

thf(type_def_9,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(type_def_10,type,
    set_Pr1916528119006554503T_VEBT: $tType ).

thf(type_def_11,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_12,type,
    produc9211091688327510695T_VEBT: $tType ).

thf(type_def_13,type,
    set_Pr3451248702717554689st_nat: $tType ).

thf(type_def_14,type,
    set_Pr765067013931698361st_int: $tType ).

thf(type_def_15,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_16,type,
    set_Pr6192946355708809607T_VEBT: $tType ).

thf(type_def_17,type,
    list_P6254988961118846195et_nat: $tType ).

thf(type_def_18,type,
    set_Pr5488025237498180813et_nat: $tType ).

thf(type_def_19,type,
    list_P6356568628958627295d_enat: $tType ).

thf(type_def_20,type,
    set_Pr2457182780427864761d_enat: $tType ).

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

thf(type_def_22,type,
    list_P2623026923184700063T_real: $tType ).

thf(type_def_23,type,
    list_P877281246627933069T_VEBT: $tType ).

thf(type_def_24,type,
    produc1828647624359046049st_nat: $tType ).

thf(type_def_25,type,
    produc1186641810826059865st_int: $tType ).

thf(type_def_26,type,
    set_Pr7765410600122031685T_real: $tType ).

thf(type_def_27,type,
    set_Pr6019664923565264691T_VEBT: $tType ).

thf(type_def_28,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_29,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_30,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(type_def_31,type,
    list_P7524865323317820941T_VEBT: $tType ).

thf(type_def_32,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_33,type,
    set_Pr7556676689462069481BT_nat: $tType ).

thf(type_def_34,type,
    set_Pr5066593544530342725BT_int: $tType ).

thf(type_def_35,type,
    set_Pr6167073792073659919T_VEBT: $tType ).

thf(type_def_36,type,
    set_Pr8044002425091019955T_VEBT: $tType ).

thf(type_def_37,type,
    produc7819656566062154093et_nat: $tType ).

thf(type_def_38,type,
    produc7272778201969148633d_enat: $tType ).

thf(type_def_39,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_40,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_41,type,
    set_Pr3175402225741728619VEBT_o: $tType ).

thf(type_def_42,type,
    set_Pr7543698050874017315T_VEBT: $tType ).

thf(type_def_43,type,
    option4927543243414619207at_nat: $tType ).

thf(type_def_44,type,
    list_P8689742595348180415l_real: $tType ).

thf(type_def_45,type,
    filter1242075044329608583at_nat: $tType ).

thf(type_def_46,type,
    set_Pr6218003697084177305l_real: $tType ).

thf(type_def_47,type,
    list_P6834414599653733731al_nat: $tType ).

thf(type_def_48,type,
    list_P4344331454722006975al_int: $tType ).

thf(type_def_49,type,
    list_P6863124054624500543t_real: $tType ).

thf(type_def_50,type,
    produc5170161368751668367T_real: $tType ).

thf(type_def_51,type,
    produc3757001726724277373T_VEBT: $tType ).

thf(type_def_52,type,
    set_Pr3510011417693777981al_nat: $tType ).

thf(type_def_53,type,
    set_Pr1019928272762051225al_int: $tType ).

thf(type_def_54,type,
    set_Pr3538720872664544793t_real: $tType ).

thf(type_def_55,type,
    list_P6011104703257516679at_nat: $tType ).

thf(type_def_56,type,
    list_P3521021558325789923at_int: $tType ).

thf(type_def_57,type,
    list_P8198026277950538467nt_nat: $tType ).

thf(type_def_58,type,
    list_P5707943133018811711nt_int: $tType ).

thf(type_def_59,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_60,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_61,type,
    produc8025551001238799321T_VEBT: $tType ).

thf(type_def_62,type,
    produc1531783533982839933T_VEBT: $tType ).

thf(type_def_63,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_64,type,
    set_Pr7995236796853374141at_int: $tType ).

thf(type_def_65,type,
    set_Pr3448869479623346877nt_nat: $tType ).

thf(type_def_66,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(type_def_67,type,
    list_P3595434254542482545real_o: $tType ).

thf(type_def_68,type,
    list_P5232166724548748803o_real: $tType ).

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

thf(type_def_70,type,
    set_Pr4936984352647145239real_o: $tType ).

thf(type_def_71,type,
    set_Pr6573716822653411497o_real: $tType ).

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

thf(type_def_73,type,
    list_P5087981734274514673_int_o: $tType ).

thf(type_def_74,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(type_def_75,type,
    list_P3795440434834930179_o_int: $tType ).

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

thf(type_def_77,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_78,type,
    produc2504756804600209347T_VEBT: $tType ).

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

thf(type_def_80,type,
    set_Pr903927857289325719_int_o: $tType ).

thf(type_def_81,type,
    set_Pr2101469702781467981_o_nat: $tType ).

thf(type_def_82,type,
    set_Pr8834758594704517033_o_int: $tType ).

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

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

thf(type_def_85,type,
    set_li5464603477888414924d_enat: $tType ).

thf(type_def_86,type,
    produc2422161461964618553l_real: $tType ).

thf(type_def_87,type,
    set_se7270636423289371942d_enat: $tType ).

thf(type_def_88,type,
    produc3741383161447143261al_nat: $tType ).

thf(type_def_89,type,
    produc8786904178792722361al_int: $tType ).

thf(type_def_90,type,
    produc679980390762269497t_real: $tType ).

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

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

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

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

thf(type_def_95,type,
    list_P4002435161011370285od_o_o: $tType ).

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

thf(type_def_97,type,
    set_Product_prod_o_o: $tType ).

thf(type_def_98,type,
    set_set_complex: $tType ).

thf(type_def_99,type,
    option_VEBT_VEBT: $tType ).

thf(type_def_100,type,
    set_filter_nat: $tType ).

thf(type_def_101,type,
    option_set_nat: $tType ).

thf(type_def_102,type,
    product_prod_real_o: $tType ).

thf(type_def_103,type,
    product_prod_o_real: $tType ).

thf(type_def_104,type,
    list_list_nat: $tType ).

thf(type_def_105,type,
    list_list_int: $tType ).

thf(type_def_106,type,
    list_VEBT_VEBT: $tType ).

thf(type_def_107,type,
    set_list_nat: $tType ).

thf(type_def_108,type,
    set_list_int: $tType ).

thf(type_def_109,type,
    product_prod_int_o: $tType ).

thf(type_def_110,type,
    product_prod_o_nat: $tType ).

thf(type_def_111,type,
    product_prod_o_int: $tType ).

thf(type_def_112,type,
    list_set_nat: $tType ).

thf(type_def_113,type,
    set_VEBT_VEBT: $tType ).

thf(type_def_114,type,
    set_set_nat: $tType ).

thf(type_def_115,type,
    set_set_int: $tType ).

thf(type_def_116,type,
    list_Extended_enat: $tType ).

thf(type_def_117,type,
    set_Extended_enat: $tType ).

thf(type_def_118,type,
    list_complex: $tType ).

thf(type_def_119,type,
    product_prod_o_o: $tType ).

thf(type_def_120,type,
    set_complex: $tType ).

thf(type_def_121,type,
    option_real: $tType ).

thf(type_def_122,type,
    filter_real: $tType ).

thf(type_def_123,type,
    option_num: $tType ).

thf(type_def_124,type,
    option_nat: $tType ).

thf(type_def_125,type,
    option_int: $tType ).

thf(type_def_126,type,
    filter_nat: $tType ).

thf(type_def_127,type,
    set_char: $tType ).

thf(type_def_128,type,
    list_real: $tType ).

thf(type_def_129,type,
    set_real: $tType ).

thf(type_def_130,type,
    list_num: $tType ).

thf(type_def_131,type,
    list_nat: $tType ).

thf(type_def_132,type,
    list_int: $tType ).

thf(type_def_133,type,
    vEBT_VEBT: $tType ).

thf(type_def_134,type,
    set_num: $tType ).

thf(type_def_135,type,
    set_nat: $tType ).

thf(type_def_136,type,
    set_int: $tType ).

thf(type_def_137,type,
    product_unit: $tType ).

thf(type_def_138,type,
    option_o: $tType ).

thf(type_def_139,type,
    extended_enat: $tType ).

thf(type_def_140,type,
    list_o: $tType ).

thf(type_def_141,type,
    complex: $tType ).

thf(type_def_142,type,
    set_o: $tType ).

thf(type_def_143,type,
    char: $tType ).

thf(type_def_144,type,
    real: $tType ).

thf(type_def_145,type,
    num: $tType ).

thf(type_def_146,type,
    nat: $tType ).

thf(type_def_147,type,
    int: $tType ).

thf(type_def_148,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    archim7802044766580827645g_real: real > int ).

thf(func_def_1,type,
    archim6058952711729229775r_real: real > int ).

thf(func_def_2,type,
    archim2898591450579166408c_real: real > real ).

thf(func_def_3,type,
    archim8280529875227126926d_real: real > int ).

thf(func_def_4,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_5,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

thf(func_def_6,type,
    bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).

thf(func_def_7,type,
    bNF_re717283939379294677_int_o: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > $o ).

thf(func_def_8,type,
    bNF_re7408651293131936558nt_int: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > $o ).

thf(func_def_9,type,
    bNF_re6644619430987730960nt_o_o: ( product_prod_nat_nat > int > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).

thf(func_def_10,type,
    bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).

thf(func_def_11,type,
    bNF_re7400052026677387805at_int: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).

thf(func_def_12,type,
    bNF_re4202695980764964119_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(func_def_13,type,
    bNF_re3099431351363272937at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > $o ).

thf(func_def_14,type,
    bNF_re3666534408544137501at_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_15,type,
    bNF_re8246922863344978751at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ).

thf(func_def_16,type,
    bNF_re2241393799969408733at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ).

thf(func_def_17,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_18,type,
    basic_1872990034501187214nt_int: ( int > nat ) > ( int > nat ) > product_prod_int_int > nat ).

thf(func_def_19,type,
    basic_876126793109182934at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).

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

thf(func_def_21,type,
    gbinomial_complex: complex > nat > complex ).

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

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

thf(func_def_24,type,
    gbinomial_real: real > nat > real ).

thf(func_def_25,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_26,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_27,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_28,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_29,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_30,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_31,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

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_se2000444600071755411sk_int: nat > int ).

thf(func_def_35,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_36,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_37,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_38,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_39,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_40,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_41,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_42,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_43,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_44,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_45,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_46,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_47,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_48,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_49,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_50,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_51,type,
    comple2295165028678016749d_enat: set_Extended_enat > extended_enat ).

thf(func_def_52,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(func_def_53,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_54,type,
    comple4398354569131411667d_enat: set_Extended_enat > extended_enat ).

thf(func_def_55,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_56,type,
    arg: complex > real ).

thf(func_def_57,type,
    cis: real > complex ).

thf(func_def_58,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_59,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_60,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_61,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_62,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_63,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_64,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_65,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_66,type,
    extended_eSuc: extended_enat > extended_enat ).

thf(func_def_67,type,
    extended_enat2: nat > extended_enat ).

thf(func_def_68,type,
    extended_case_enat_o: ( nat > $o ) > $o > extended_enat > $o ).

thf(func_def_69,type,
    extend3600170679010898289d_enat: ( nat > extended_enat ) > extended_enat > extended_enat > extended_enat ).

thf(func_def_70,type,
    extend5688581933313929465d_enat: extended_enat ).

thf(func_def_71,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(func_def_72,type,
    comm_s3181272606743183617d_enat: extended_enat > nat > extended_enat ).

thf(func_def_73,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_74,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_75,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(func_def_76,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_77,type,
    semiri4449623510593786356d_enat: nat > extended_enat ).

thf(func_def_78,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_79,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_80,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_81,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_82,type,
    inverse_inverse_real: real > real ).

thf(func_def_83,type,
    at_bot_real: filter_real ).

thf(func_def_84,type,
    at_top_nat: filter_nat ).

thf(func_def_85,type,
    at_top_real: filter_real ).

thf(func_def_86,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_87,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_88,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_89,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_90,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_91,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_92,type,
    finite_card_o: set_o > nat ).

thf(func_def_93,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_94,type,
    finite121521170596916366d_enat: set_Extended_enat > nat ).

thf(func_def_95,type,
    finite_card_int: set_int > nat ).

thf(func_def_96,type,
    finite5120063068150530198omplex: set_list_complex > nat ).

thf(func_def_97,type,
    finite7441382602597825044d_enat: set_li5464603477888414924d_enat > nat ).

thf(func_def_98,type,
    finite_card_list_int: set_list_int > nat ).

thf(func_def_99,type,
    finite7325466520557071688st_nat: set_list_list_nat > nat ).

thf(func_def_100,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_101,type,
    finite5631907774883551598et_nat: set_list_set_nat > nat ).

thf(func_def_102,type,
    finite5915292604075114978T_VEBT: set_list_VEBT_VEBT > nat ).

thf(func_def_103,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_104,type,
    finite_card_real: set_real > nat ).

thf(func_def_105,type,
    finite903997441450111292omplex: set_set_complex > nat ).

thf(func_def_106,type,
    finite3719263829065406702d_enat: set_se7270636423289371942d_enat > nat ).

thf(func_def_107,type,
    finite_card_set_int: set_set_int > nat ).

thf(func_def_108,type,
    finite2364142230527598318st_nat: set_set_list_nat > nat ).

thf(func_def_109,type,
    finite_card_set_nat: set_set_nat > nat ).

thf(func_def_110,type,
    finite1149291290879098388et_nat: set_set_set_nat > nat ).

thf(func_def_111,type,
    finite7802652506058667612T_VEBT: set_VEBT_VEBT > nat ).

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

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

thf(func_def_114,type,
    finite4001608067531595151d_enat: set_Extended_enat > $o ).

thf(func_def_115,type,
    finite2119507909894593271er_nat: set_filter_nat > $o ).

thf(func_def_116,type,
    finite_finite_int: set_int > $o ).

thf(func_def_117,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(func_def_118,type,
    finite1862508098717546133d_enat: set_li5464603477888414924d_enat > $o ).

thf(func_def_119,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(func_def_120,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_121,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(func_def_122,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_123,type,
    finite_finite_real: set_real > $o ).

thf(func_def_124,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

thf(func_def_125,type,
    finite5468666774076196335d_enat: set_se7270636423289371942d_enat > $o ).

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

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

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

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

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

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

thf(func_def_132,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

thf(func_def_133,type,
    id_o: $o > $o ).

thf(func_def_134,type,
    id_nat: nat > nat ).

thf(func_def_135,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_136,type,
    inj_on_nat_char: ( nat > char ) > set_nat > $o ).

thf(func_def_137,type,
    inj_on_real_real: ( real > real ) > set_real > $o ).

thf(func_def_138,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_139,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_140,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_141,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_142,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_143,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_144,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(func_def_145,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_146,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_147,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_148,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_149,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_150,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_151,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_152,type,
    abs_abs_complex: complex > complex ).

thf(func_def_153,type,
    abs_abs_int: int > int ).

thf(func_def_154,type,
    abs_abs_real: real > real ).

thf(func_def_155,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_156,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_157,type,
    minus_minus_int: int > int > int ).

thf(func_def_158,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_159,type,
    minus_minus_real: real > real > real ).

thf(func_def_160,type,
    minus_minus_set_o: set_o > set_o > set_o ).

thf(func_def_161,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_162,type,
    minus_925952699566721837d_enat: set_Extended_enat > set_Extended_enat > set_Extended_enat ).

thf(func_def_163,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_164,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_165,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_166,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_167,type,
    minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_168,type,
    minus_5127226145743854075T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_169,type,
    one_one_complex: complex ).

thf(func_def_170,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_171,type,
    one_one_int: int ).

thf(func_def_172,type,
    one_one_nat: nat ).

thf(func_def_173,type,
    one_one_real: real ).

thf(func_def_174,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_175,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_176,type,
    plus_plus_int: int > int > int ).

thf(func_def_177,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_178,type,
    plus_plus_num: num > num > num ).

thf(func_def_179,type,
    plus_plus_real: real > real > real ).

thf(func_def_180,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_181,type,
    sgn_sgn_int: int > int ).

thf(func_def_182,type,
    sgn_sgn_real: real > real ).

thf(func_def_183,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_184,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_185,type,
    times_times_int: int > int > int ).

thf(func_def_186,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_187,type,
    times_times_real: real > real > real ).

thf(func_def_188,type,
    uminus1482373934393186551omplex: complex > complex ).

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

thf(func_def_190,type,
    uminus_uminus_real: real > real ).

thf(func_def_191,type,
    uminus_uminus_set_o: set_o > set_o ).

thf(func_def_192,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_193,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_194,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_195,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

thf(func_def_196,type,
    zero_zero_complex: complex ).

thf(func_def_197,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_198,type,
    zero_zero_int: int ).

thf(func_def_199,type,
    zero_zero_nat: nat ).

thf(func_def_200,type,
    zero_zero_real: real ).

thf(func_def_201,type,
    groups5328290441151304332omplex: ( $o > complex ) > set_o > complex ).

thf(func_def_202,type,
    groups7198740251461348360d_enat: ( $o > extended_enat ) > set_o > extended_enat ).

thf(func_def_203,type,
    groups8505340233167759370_o_int: ( $o > int ) > set_o > int ).

thf(func_def_204,type,
    groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_205,type,
    groups8691415230153176458o_real: ( $o > real ) > set_o > real ).

thf(func_def_206,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_207,type,
    groups1752964319039525884d_enat: ( complex > extended_enat ) > set_complex > extended_enat ).

thf(func_def_208,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_209,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_210,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_211,type,
    groups2433450451889696826d_enat: ( extended_enat > extended_enat ) > set_Extended_enat > extended_enat ).

thf(func_def_212,type,
    groups2025484359314973016at_int: ( extended_enat > int ) > set_Extended_enat > int ).

thf(func_def_213,type,
    groups2027974829824023292at_nat: ( extended_enat > nat ) > set_Extended_enat > nat ).

thf(func_def_214,type,
    groups4148127829035722712t_real: ( extended_enat > real ) > set_Extended_enat > real ).

thf(func_def_215,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_216,type,
    groups4225252721152677374d_enat: ( int > extended_enat ) > set_int > extended_enat ).

thf(func_def_217,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_218,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_219,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_220,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_221,type,
    groups7108830773950497114d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).

thf(func_def_222,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_223,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_224,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_225,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_226,type,
    groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).

thf(func_def_227,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_228,type,
    groups2800946370649118462d_enat: ( real > extended_enat ) > set_real > extended_enat ).

thf(func_def_229,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_230,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_231,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_232,type,
    groups8292507037921071086at_int: ( set_nat > int ) > set_set_nat > int ).

thf(func_def_233,type,
    groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_234,type,
    groups5107569545109728110t_real: ( set_nat > real ) > set_set_nat > real ).

thf(func_def_235,type,
    groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).

thf(func_def_236,type,
    groups3443914341975893411omplex: ( $o > complex ) > set_o > complex ).

thf(func_def_237,type,
    groups8422889724626310577d_enat: ( $o > extended_enat ) > set_o > extended_enat ).

thf(func_def_238,type,
    groups4553916814277028129_o_int: ( $o > int ) > set_o > int ).

thf(func_def_239,type,
    groups4556407284786078405_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_240,type,
    groups627172608727702305o_real: ( $o > real ) > set_o > real ).

thf(func_def_241,type,
    groups808145749697022017omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_242,type,
    groups2909182065852811199ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_243,type,
    groups2911672536361861475ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_244,type,
    groups5737402329758386879x_real: ( complex > real ) > set_complex > real ).

thf(func_def_245,type,
    groups4395127934049735793omplex: ( extended_enat > complex ) > set_Extended_enat > complex ).

thf(func_def_246,type,
    groups4847789403509879791at_int: ( extended_enat > int ) > set_Extended_enat > int ).

thf(func_def_247,type,
    groups4850279874018930067at_nat: ( extended_enat > nat ) > set_Extended_enat > nat ).

thf(func_def_248,type,
    groups1070518202123951855t_real: ( extended_enat > real ) > set_Extended_enat > real ).

thf(func_def_249,type,
    groups267424677133301183omplex: ( int > complex ) > set_int > complex ).

thf(func_def_250,type,
    groups2983280209131991357nt_int: ( int > int ) > set_int > int ).

thf(func_def_251,type,
    groups2985770679641041633nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_252,type,
    groups1523912220035142973t_real: ( int > real ) > set_int > real ).

thf(func_def_253,type,
    groups8515261248781899619omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_254,type,
    groups707763781290628081d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).

thf(func_def_255,type,
    groups1983926497230936801at_int: ( nat > int ) > set_nat > int ).

thf(func_def_256,type,
    groups1986416967739987077at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_257,type,
    groups8560362682196896993t_real: ( nat > real ) > set_nat > real ).

thf(func_def_258,type,
    groups5683813829254066239omplex: ( real > complex ) > set_real > complex ).

thf(func_def_259,type,
    groups8946708780592123413d_enat: ( real > extended_enat ) > set_real > extended_enat ).

thf(func_def_260,type,
    groups3901808747961969597al_int: ( real > int ) > set_real > int ).

thf(func_def_261,type,
    groups3904299218471019873al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_262,type,
    groups97945582718554045l_real: ( real > real ) > set_real > real ).

thf(func_def_263,type,
    groups4859619685533338977omplex: ( $o > complex ) > set_o > complex ).

thf(func_def_264,type,
    groups783334030178737011d_enat: ( $o > extended_enat ) > set_o > extended_enat ).

thf(func_def_265,type,
    groups3502327434004483295_o_int: ( $o > int ) > set_o > int ).

thf(func_def_266,type,
    groups3504817904513533571_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_267,type,
    groups234877984723959775o_real: ( $o > real ) > set_o > real ).

thf(func_def_268,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_269,type,
    groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_270,type,
    groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_271,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(func_def_272,type,
    groups4622424608036095791omplex: ( extended_enat > complex ) > set_Extended_enat > complex ).

thf(func_def_273,type,
    groups2878480467620962989at_int: ( extended_enat > int ) > set_Extended_enat > int ).

thf(func_def_274,type,
    groups2880970938130013265at_nat: ( extended_enat > nat ) > set_Extended_enat > nat ).

thf(func_def_275,type,
    groups97031904164794029t_real: ( extended_enat > real ) > set_Extended_enat > real ).

thf(func_def_276,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(func_def_277,type,
    groups5078248829458667347d_enat: ( int > extended_enat ) > set_int > extended_enat ).

thf(func_def_278,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_279,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_280,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(func_def_281,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_282,type,
    groups7961826882256487087d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).

thf(func_def_283,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_284,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_285,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(func_def_286,type,
    groups4075276357253098568at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).

thf(func_def_287,type,
    groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_288,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(func_def_289,type,
    groups7973222482632965587d_enat: ( real > extended_enat ) > set_real > extended_enat ).

thf(func_def_290,type,
    groups4694064378042380927al_int: ( real > int ) > set_real > int ).

thf(func_def_291,type,
    groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_292,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(func_def_293,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_294,type,
    groups9119017779487936845_o_nat: ( $o > nat ) > nat > list_o > nat ).

thf(func_def_295,type,
    groups1380173120649922871omplex: ( int > complex ) > complex > list_int > complex ).

thf(func_def_296,type,
    groups7888997386326813469d_enat: ( int > extended_enat ) > extended_enat > list_int > extended_enat ).

thf(func_def_297,type,
    groups8485231416243008693nt_int: ( int > int ) > int > list_int > int ).

thf(func_def_298,type,
    groups404637655443745499omplex: ( nat > complex ) > complex > list_nat > complex ).

thf(func_def_299,type,
    groups1549203402269857401d_enat: ( nat > extended_enat ) > extended_enat > list_nat > extended_enat ).

thf(func_def_300,type,
    groups7485877704341954137at_int: ( nat > int ) > int > list_nat > int ).

thf(func_def_301,type,
    groups1931381680841367751omplex: ( vEBT_VEBT > complex ) > complex > list_VEBT_VEBT > complex ).

thf(func_def_302,type,
    groups3844460828123498381d_enat: ( vEBT_VEBT > extended_enat ) > extended_enat > list_VEBT_VEBT > extended_enat ).

thf(func_def_303,type,
    groups6842663049115397189BT_int: ( vEBT_VEBT > int ) > int > list_VEBT_VEBT > int ).

thf(func_def_304,type,
    groups6845153519624447465BT_nat: ( vEBT_VEBT > nat ) > nat > list_VEBT_VEBT > nat ).

thf(func_def_305,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_306,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_307,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_308,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_309,type,
    if_filter_nat: $o > filter_nat > filter_nat > filter_nat ).

thf(func_def_310,type,
    if_int: $o > int > int > int ).

thf(func_def_311,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_312,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_313,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_314,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_315,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_316,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

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

thf(func_def_318,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_319,type,
    if_set_nat: $o > set_nat > set_nat > set_nat ).

thf(func_def_320,type,
    if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_321,type,
    infini8530281810654367211te_nat: set_nat > nat > nat ).

thf(func_def_322,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_323,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_324,type,
    cr_int: product_prod_nat_nat > int > $o ).

thf(func_def_325,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_326,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_327,type,
    intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_328,type,
    nat2: int > nat ).

thf(func_def_329,type,
    pcr_int: product_prod_nat_nat > int > $o ).

thf(func_def_330,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_331,type,
    ring_1_of_int_int: int > int ).

thf(func_def_332,type,
    ring_1_of_int_real: int > real ).

thf(func_def_333,type,
    inf_inf_int: int > int > int ).

thf(func_def_334,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_335,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_336,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_337,type,
    sup_sup_int: int > int > int ).

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

thf(func_def_339,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_340,type,
    lattic921264341876707157d_enat: set_Extended_enat > extended_enat ).

thf(func_def_341,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_342,type,
    lattic7542187609180611815d_enat: ( $o > extended_enat ) > set_o > $o ).

thf(func_def_343,type,
    lattic2775856028456453135_o_nat: ( $o > nat ) > set_o > $o ).

thf(func_def_344,type,
    lattic8697145971487455083o_real: ( $o > real ) > set_o > $o ).

thf(func_def_345,type,
    lattic7796887085614042845d_enat: ( complex > extended_enat ) > set_complex > complex ).

thf(func_def_346,type,
    lattic5364784637807008409ex_nat: ( complex > nat ) > set_complex > complex ).

thf(func_def_347,type,
    lattic8794016678065449205x_real: ( complex > real ) > set_complex > complex ).

thf(func_def_348,type,
    lattic1996716550891908761d_enat: ( extended_enat > extended_enat ) > set_Extended_enat > extended_enat ).

thf(func_def_349,type,
    lattic3845382081240766429at_nat: ( extended_enat > nat ) > set_Extended_enat > extended_enat ).

thf(func_def_350,type,
    lattic1189837152898106425t_real: ( extended_enat > real ) > set_Extended_enat > extended_enat ).

thf(func_def_351,type,
    lattic8446286672483414039nt_nat: ( int > nat ) > set_int > int ).

thf(func_def_352,type,
    lattic2675449441010098035t_real: ( int > real ) > set_int > int ).

thf(func_def_353,type,
    lattic7446932960582359483at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_354,type,
    lattic488527866317076247t_real: ( nat > real ) > set_nat > nat ).

thf(func_def_355,type,
    lattic9066027731366277983d_enat: ( real > extended_enat ) > set_real > real ).

thf(func_def_356,type,
    lattic5055836439445974935al_nat: ( real > nat ) > set_real > real ).

thf(func_def_357,type,
    lattic8440615504127631091l_real: ( real > real ) > set_real > real ).

thf(func_def_358,type,
    quotie1194848508323700631at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int > $o ) > $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,
    can_select_o: ( $o > $o ) > set_o > $o ).

thf(func_def_362,type,
    can_select_int: ( int > $o ) > set_int > $o ).

thf(func_def_363,type,
    can_select_nat: ( nat > $o ) > set_nat > $o ).

thf(func_def_364,type,
    can_select_real: ( real > $o ) > set_real > $o ).

thf(func_def_365,type,
    can_select_set_nat: ( set_nat > $o ) > set_set_nat > $o ).

thf(func_def_366,type,
    can_select_VEBT_VEBT: ( vEBT_VEBT > $o ) > set_VEBT_VEBT > $o ).

thf(func_def_367,type,
    concat_int: list_list_int > list_int ).

thf(func_def_368,type,
    concat_nat: list_list_nat > list_nat ).

thf(func_def_369,type,
    concat_VEBT_VEBT: list_list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_370,type,
    count_list_o: list_o > $o > nat ).

thf(func_def_371,type,
    count_list_complex: list_complex > complex > nat ).

thf(func_def_372,type,
    count_101369445342291426d_enat: list_Extended_enat > extended_enat > nat ).

thf(func_def_373,type,
    count_list_int: list_int > int > nat ).

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

thf(func_def_375,type,
    count_list_real: list_real > real > nat ).

thf(func_def_376,type,
    count_list_set_nat: list_set_nat > set_nat > nat ).

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

thf(func_def_378,type,
    distinct_o: list_o > $o ).

thf(func_def_379,type,
    distinct_complex: list_complex > $o ).

thf(func_def_380,type,
    distin4523846830085650399d_enat: list_Extended_enat > $o ).

thf(func_def_381,type,
    distinct_int: list_int > $o ).

thf(func_def_382,type,
    distinct_list_nat: list_list_nat > $o ).

thf(func_def_383,type,
    distinct_nat: list_nat > $o ).

thf(func_def_384,type,
    distin3744728255968310194nt_int: list_P5707943133018811711nt_int > $o ).

thf(func_def_385,type,
    distin7922579275477506902nt_nat: list_P8198026277950538467nt_nat > $o ).

thf(func_def_386,type,
    distin2745374544067255638at_int: list_P3521021558325789923at_int > $o ).

thf(func_def_387,type,
    distin6923225563576452346at_nat: list_P6011104703257516679at_nat > $o ).

thf(func_def_388,type,
    distinct_real: list_real > $o ).

thf(func_def_389,type,
    distinct_set_nat: list_set_nat > $o ).

thf(func_def_390,type,
    distinct_VEBT_VEBT: list_VEBT_VEBT > $o ).

thf(func_def_391,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_392,type,
    enumerate_int: nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_393,type,
    enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_394,type,
    enumerate_VEBT_VEBT: nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_395,type,
    find_o: ( $o > $o ) > list_o > option_o ).

thf(func_def_396,type,
    find_int: ( int > $o ) > list_int > option_int ).

thf(func_def_397,type,
    find_nat: ( nat > $o ) > list_nat > option_nat ).

thf(func_def_398,type,
    find_num: ( num > $o ) > list_num > option_num ).

thf(func_def_399,type,
    find_P8199882355184865565at_nat: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > option4927543243414619207at_nat ).

thf(func_def_400,type,
    find_real: ( real > $o ) > list_real > option_real ).

thf(func_def_401,type,
    find_set_nat: ( set_nat > $o ) > list_set_nat > option_set_nat ).

thf(func_def_402,type,
    find_VEBT_VEBT: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > option_VEBT_VEBT ).

thf(func_def_403,type,
    fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).

thf(func_def_404,type,
    insert_o: $o > list_o > list_o ).

thf(func_def_405,type,
    insert_int: int > list_int > list_int ).

thf(func_def_406,type,
    insert_nat: nat > list_nat > list_nat ).

thf(func_def_407,type,
    insert_real: real > list_real > list_real ).

thf(func_def_408,type,
    insert_set_nat: set_nat > list_set_nat > list_set_nat ).

thf(func_def_409,type,
    insert_VEBT_VEBT: vEBT_VEBT > list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_410,type,
    last_nat: list_nat > nat ).

thf(func_def_411,type,
    linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).

thf(func_def_412,type,
    linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_413,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_414,type,
    cons_int: int > list_int > list_int ).

thf(func_def_415,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_416,type,
    nil_int: list_int ).

thf(func_def_417,type,
    nil_nat: list_nat ).

thf(func_def_418,type,
    hd_nat: list_nat > nat ).

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

thf(func_def_420,type,
    map_VE8901447254227204932T_VEBT: ( vEBT_VEBT > vEBT_VEBT ) > list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_421,type,
    set_o2: list_o > set_o ).

thf(func_def_422,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_423,type,
    set_Extended_enat2: list_Extended_enat > set_Extended_enat ).

thf(func_def_424,type,
    set_int2: list_int > set_int ).

thf(func_def_425,type,
    set_list_int2: list_list_int > set_list_int ).

thf(func_def_426,type,
    set_list_nat2: list_list_nat > set_list_nat ).

thf(func_def_427,type,
    set_list_VEBT_VEBT2: list_list_VEBT_VEBT > set_list_VEBT_VEBT ).

thf(func_def_428,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_429,type,
    set_num2: list_num > set_num ).

thf(func_def_430,type,
    set_Product_prod_o_o2: list_P4002435161011370285od_o_o > set_Product_prod_o_o ).

thf(func_def_431,type,
    set_Pr2828948584524939422_o_int: list_P3795440434834930179_o_int > set_Pr8834758594704517033_o_int ).

thf(func_def_432,type,
    set_Pr7006799604034136130_o_nat: list_P6285523579766656935_o_nat > set_Pr2101469702781467981_o_nat ).

thf(func_def_433,type,
    set_Pr2600826154070092190o_real: list_P5232166724548748803o_real > set_Pr6573716822653411497o_real ).

thf(func_def_434,type,
    set_Pr655345902815428824T_VEBT: list_P7495141550334521929T_VEBT > set_Pr7543698050874017315T_VEBT ).

thf(func_def_435,type,
    set_Pr8694291782656941196_int_o: list_P5087981734274514673_int_o > set_Pr903927857289325719_int_o ).

thf(func_def_436,type,
    set_Pr2470121279949933262nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_437,type,
    set_Pr6647972299459129970nt_nat: list_P8198026277950538467nt_nat > set_Pr3448869479623346877nt_nat ).

thf(func_def_438,type,
    set_Pr112895574167722958t_real: list_P6863124054624500543t_real > set_Pr3538720872664544793t_real ).

thf(func_def_439,type,
    set_Pr8714266321650254504T_VEBT: list_P7524865323317820941T_VEBT > set_Pr8044002425091019955T_VEBT ).

thf(func_def_440,type,
    set_Pr1470767568048878706at_int: list_P3521021558325789923at_int > set_Pr7995236796853374141at_int ).

thf(func_def_441,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_442,type,
    set_Pr5984661752051438084T_VEBT: list_P5647936690300460905T_VEBT > set_Pr6167073792073659919T_VEBT ).

thf(func_def_443,type,
    set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_444,type,
    set_Pr5196769464307566348real_o: list_P3595434254542482545real_o > set_Pr4936984352647145239real_o ).

thf(func_def_445,type,
    set_Pr8219819362198175822al_int: list_P4344331454722006975al_int > set_Pr1019928272762051225al_int ).

thf(func_def_446,type,
    set_Pr3174298344852596722al_nat: list_P6834414599653733731al_nat > set_Pr3510011417693777981al_nat ).

thf(func_def_447,type,
    set_Pr5999470521830281550l_real: list_P8689742595348180415l_real > set_Pr6218003697084177305l_real ).

thf(func_def_448,type,
    set_Pr8897343066327330088T_VEBT: list_P877281246627933069T_VEBT > set_Pr6019664923565264691T_VEBT ).

thf(func_def_449,type,
    set_Pr9040384385603167362et_nat: list_P6254988961118846195et_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_450,type,
    set_Pr7708085864119495200VEBT_o: list_P3126845725202233233VEBT_o > set_Pr3175402225741728619VEBT_o ).

thf(func_def_451,type,
    set_Pr4712219556205076590d_enat: list_P6356568628958627295d_enat > set_Pr2457182780427864761d_enat ).

thf(func_def_452,type,
    set_Pr2853735649769556538BT_int: list_P4547456442757143711BT_int > set_Pr5066593544530342725BT_int ).

thf(func_def_453,type,
    set_Pr7031586669278753246BT_nat: list_P7037539587688870467BT_nat > set_Pr7556676689462069481BT_nat ).

thf(func_def_454,type,
    set_Pr1087130671499945274T_real: list_P2623026923184700063T_real > set_Pr7765410600122031685T_real ).

thf(func_def_455,type,
    set_Pr9182192707038809660T_VEBT: list_P7413028617227757229T_VEBT > set_Pr6192946355708809607T_VEBT ).

thf(func_def_456,type,
    set_real2: list_real > set_real ).

thf(func_def_457,type,
    set_set_nat2: list_set_nat > set_set_nat ).

thf(func_def_458,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_459,type,
    size_list_o: ( $o > nat ) > list_o > nat ).

thf(func_def_460,type,
    size_list_int: ( int > nat ) > list_int > nat ).

thf(func_def_461,type,
    size_list_nat: ( nat > nat ) > list_nat > nat ).

thf(func_def_462,type,
    size_list_real: ( real > nat ) > list_real > nat ).

thf(func_def_463,type,
    size_list_set_nat: ( set_nat > nat ) > list_set_nat > nat ).

thf(func_def_464,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_465,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_466,type,
    list_ex1_o: ( $o > $o ) > list_o > $o ).

thf(func_def_467,type,
    list_ex1_int: ( int > $o ) > list_int > $o ).

thf(func_def_468,type,
    list_ex1_nat: ( nat > $o ) > list_nat > $o ).

thf(func_def_469,type,
    list_ex1_real: ( real > $o ) > list_real > $o ).

thf(func_def_470,type,
    list_ex1_set_nat: ( set_nat > $o ) > list_set_nat > $o ).

thf(func_def_471,type,
    list_ex1_VEBT_VEBT: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > $o ).

thf(func_def_472,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_473,type,
    list_u3071683517702156500d_enat: list_Extended_enat > nat > extended_enat > list_Extended_enat ).

thf(func_def_474,type,
    list_update_int: list_int > nat > int > list_int ).

thf(func_def_475,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(func_def_476,type,
    list_u3002344382305578791nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int ).

thf(func_def_477,type,
    list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_478,type,
    list_u5003261594476800725at_nat: list_P8469869581646625389at_nat > nat > produc859450856879609959at_nat > list_P8469869581646625389at_nat ).

thf(func_def_479,type,
    list_u2241885204319820103d_enat: list_P6356568628958627295d_enat > nat > produc7272778201969148633d_enat > list_P6356568628958627295d_enat ).

thf(func_def_480,type,
    list_u2459188882655168453BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat > list_P7037539587688870467BT_nat ).

thf(func_def_481,type,
    list_u6961636818849549845T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_482,type,
    list_update_real: list_real > nat > real > list_real ).

thf(func_def_483,type,
    list_update_set_nat: list_set_nat > nat > set_nat > list_set_nat ).

thf(func_def_484,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_485,type,
    listrel1_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_486,type,
    listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_487,type,
    listre4828114922151135584at_nat: set_Pr8693737435421807431at_nat > set_Pr1542805901266377927at_nat ).

thf(func_def_488,type,
    listrel1_VEBT_VEBT: set_Pr6192946355708809607T_VEBT > set_Pr1916528119006554503T_VEBT ).

thf(func_def_489,type,
    listrel1p_int: ( int > int > $o ) > list_int > list_int > $o ).

thf(func_def_490,type,
    listrel1p_nat: ( nat > nat > $o ) > list_nat > list_nat > $o ).

thf(func_def_491,type,
    member_o: list_o > $o > $o ).

thf(func_def_492,type,
    member_int: list_int > int > $o ).

thf(func_def_493,type,
    member_nat: list_nat > nat > $o ).

thf(func_def_494,type,
    member_real: list_real > real > $o ).

thf(func_def_495,type,
    member_set_nat: list_set_nat > set_nat > $o ).

thf(func_def_496,type,
    member_VEBT_VEBT: list_VEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_497,type,
    n_lists_int: nat > list_int > list_list_int ).

thf(func_def_498,type,
    n_lists_nat: nat > list_nat > list_list_nat ).

thf(func_def_499,type,
    n_lists_VEBT_VEBT: nat > list_VEBT_VEBT > list_list_VEBT_VEBT ).

thf(func_def_500,type,
    nth_o: list_o > nat > $o ).

thf(func_def_501,type,
    nth_Extended_enat: list_Extended_enat > nat > extended_enat ).

thf(func_def_502,type,
    nth_int: list_int > nat > int ).

thf(func_def_503,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_504,type,
    nth_num: list_num > nat > num ).

thf(func_def_505,type,
    nth_Pr4439495888332055232nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int ).

thf(func_def_506,type,
    nth_Pr8617346907841251940nt_nat: list_P8198026277950538467nt_nat > nat > product_prod_int_nat ).

thf(func_def_507,type,
    nth_Pr3474266648193625910T_VEBT: list_P7524865323317820941T_VEBT > nat > produc1531783533982839933T_VEBT ).

thf(func_def_508,type,
    nth_Pr3440142176431000676at_int: list_P3521021558325789923at_int > nat > product_prod_nat_int ).

thf(func_def_509,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_510,type,
    nth_Pr744662078594809490T_VEBT: list_P5647936690300460905T_VEBT > nat > produc8025551001238799321T_VEBT ).

thf(func_def_511,type,
    nth_Pr7509392720524132704d_enat: list_P6356568628958627295d_enat > nat > produc7272778201969148633d_enat ).

thf(func_def_512,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_513,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_514,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_515,type,
    nth_real: list_real > nat > real ).

thf(func_def_516,type,
    nth_set_nat: list_set_nat > nat > set_nat ).

thf(func_def_517,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_518,type,
    product_int_int: list_int > list_int > list_P5707943133018811711nt_int ).

thf(func_def_519,type,
    product_int_nat: list_int > list_nat > list_P8198026277950538467nt_nat ).

thf(func_def_520,type,
    produc662631939642741121T_VEBT: list_int > list_VEBT_VEBT > list_P7524865323317820941T_VEBT ).

thf(func_def_521,type,
    product_nat_int: list_nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_522,type,
    product_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_523,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_524,type,
    produc4894985897562121079d_enat: list_VEBT_VEBT > list_Extended_enat > list_P6356568628958627295d_enat ).

thf(func_def_525,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_526,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_527,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_528,type,
    remdups_nat: list_nat > list_nat ).

thf(func_def_529,type,
    remove1_o: $o > list_o > list_o ).

thf(func_def_530,type,
    remove1_int: int > list_int > list_int ).

thf(func_def_531,type,
    remove1_nat: nat > list_nat > list_nat ).

thf(func_def_532,type,
    remove1_real: real > list_real > list_real ).

thf(func_def_533,type,
    remove1_set_nat: set_nat > list_set_nat > list_set_nat ).

thf(func_def_534,type,
    remove1_VEBT_VEBT: vEBT_VEBT > list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_535,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_536,type,
    replicate_int: nat > int > list_int ).

thf(func_def_537,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_538,type,
    replicate_real: nat > real > list_real ).

thf(func_def_539,type,
    replicate_set_nat: nat > set_nat > list_set_nat ).

thf(func_def_540,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_541,type,
    rotate1_int: list_int > list_int ).

thf(func_def_542,type,
    rotate1_nat: list_nat > list_nat ).

thf(func_def_543,type,
    rotate1_VEBT_VEBT: list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_544,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(func_def_545,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_546,type,
    subseqs_int: list_int > list_list_int ).

thf(func_def_547,type,
    subseqs_nat: list_nat > list_list_nat ).

thf(func_def_548,type,
    subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).

thf(func_def_549,type,
    take_nat: nat > list_nat > list_nat ).

thf(func_def_550,type,
    take_VEBT_VEBT: nat > list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_551,type,
    union_int: list_int > list_int > list_int ).

thf(func_def_552,type,
    union_nat: list_nat > list_nat > list_nat ).

thf(func_def_553,type,
    upt: nat > nat > list_nat ).

thf(func_def_554,type,
    upto: int > int > list_int ).

thf(func_def_555,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_556,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_557,type,
    zip_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_558,type,
    zip_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_559,type,
    zip_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_560,type,
    zip_o_real: list_o > list_real > list_P5232166724548748803o_real ).

thf(func_def_561,type,
    zip_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_562,type,
    zip_int_o: list_int > list_o > list_P5087981734274514673_int_o ).

thf(func_def_563,type,
    zip_int_int: list_int > list_int > list_P5707943133018811711nt_int ).

thf(func_def_564,type,
    zip_int_nat: list_int > list_nat > list_P8198026277950538467nt_nat ).

thf(func_def_565,type,
    zip_int_real: list_int > list_real > list_P6863124054624500543t_real ).

thf(func_def_566,type,
    zip_int_VEBT_VEBT: list_int > list_VEBT_VEBT > list_P7524865323317820941T_VEBT ).

thf(func_def_567,type,
    zip_nat_int: list_nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_568,type,
    zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_569,type,
    zip_nat_VEBT_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_570,type,
    zip_Pr4664179122662387191at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > list_P8469869581646625389at_nat ).

thf(func_def_571,type,
    zip_real_o: list_real > list_o > list_P3595434254542482545real_o ).

thf(func_def_572,type,
    zip_real_int: list_real > list_int > list_P4344331454722006975al_int ).

thf(func_def_573,type,
    zip_real_nat: list_real > list_nat > list_P6834414599653733731al_nat ).

thf(func_def_574,type,
    zip_real_real: list_real > list_real > list_P8689742595348180415l_real ).

thf(func_def_575,type,
    zip_real_VEBT_VEBT: list_real > list_VEBT_VEBT > list_P877281246627933069T_VEBT ).

thf(func_def_576,type,
    zip_set_nat_set_nat: list_set_nat > list_set_nat > list_P6254988961118846195et_nat ).

thf(func_def_577,type,
    zip_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_578,type,
    zip_VE7205001627739651817d_enat: list_VEBT_VEBT > list_Extended_enat > list_P6356568628958627295d_enat ).

thf(func_def_579,type,
    zip_VEBT_VEBT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_580,type,
    zip_VEBT_VEBT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_581,type,
    zip_VEBT_VEBT_real: list_VEBT_VEBT > list_real > list_P2623026923184700063T_real ).

thf(func_def_582,type,
    zip_VE537291747668921783T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

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

thf(func_def_584,type,
    compow6801810373992395016omplex: nat > ( complex > complex ) > complex > complex ).

thf(func_def_585,type,
    compow4567540516116640754d_enat: nat > ( extended_enat > extended_enat ) > extended_enat > extended_enat ).

thf(func_def_586,type,
    compow_int_int: nat > ( int > int ) > int > int ).

thf(func_def_587,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_588,type,
    compow_real_real: nat > ( real > real ) > real > real ).

thf(func_def_589,type,
    funpow_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_590,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_591,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_592,type,
    pred: nat > nat ).

thf(func_def_593,type,
    semiring_1_Nats_int: set_int ).

thf(func_def_594,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_595,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_596,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_597,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_598,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_599,type,
    semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).

thf(func_def_600,type,
    semiri8563196900006977889d_enat: ( extended_enat > extended_enat ) > nat > extended_enat > extended_enat ).

thf(func_def_601,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_602,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_603,type,
    semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).

thf(func_def_604,type,
    size_size_list_o: list_o > nat ).

thf(func_def_605,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_606,type,
    size_s3941691890525107288d_enat: list_Extended_enat > nat ).

thf(func_def_607,type,
    size_size_list_int: list_int > nat ).

thf(func_def_608,type,
    size_s533118279054570080st_int: list_list_int > nat ).

thf(func_def_609,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

thf(func_def_610,type,
    size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).

thf(func_def_611,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_612,type,
    size_size_list_num: list_num > nat ).

thf(func_def_613,type,
    size_s5157815400016825771nt_int: list_P5707943133018811711nt_int > nat ).

thf(func_def_614,type,
    size_s7647898544948552527nt_nat: list_P8198026277950538467nt_nat > nat ).

thf(func_def_615,type,
    size_s6639371672096860321T_VEBT: list_P7524865323317820941T_VEBT > nat ).

thf(func_def_616,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

thf(func_def_617,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_618,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_619,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_620,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_621,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_622,type,
    size_size_list_real: list_real > nat ).

thf(func_def_623,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

thf(func_def_624,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_625,type,
    size_size_num: num > nat ).

thf(func_def_626,type,
    size_size_option_num: option_num > nat ).

thf(func_def_627,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_628,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_629,type,
    nat_list_decode: nat > list_nat ).

thf(func_def_630,type,
    nat_list_decode_rel: nat > nat > $o ).

thf(func_def_631,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_632,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_633,type,
    nat_prod_decode: nat > product_prod_nat_nat ).

thf(func_def_634,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_635,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_636,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(func_def_637,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_638,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_639,type,
    nat_triangle: nat > nat ).

thf(func_def_640,type,
    root: nat > real > real ).

thf(func_def_641,type,
    inc: num > num ).

thf(func_def_642,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_643,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_644,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_645,type,
    bit0: num > num ).

thf(func_def_646,type,
    bit1: num > num ).

thf(func_def_647,type,
    one: num ).

thf(func_def_648,type,
    size_num: num > nat ).

thf(func_def_649,type,
    num_of_nat: nat > num ).

thf(func_def_650,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_651,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_652,type,
    numeral_numeral_int: num > int ).

thf(func_def_653,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_654,type,
    numeral_numeral_real: num > real ).

thf(func_def_655,type,
    pred_numeral: num > nat ).

thf(func_def_656,type,
    none_o: option_o ).

thf(func_def_657,type,
    none_int: option_int ).

thf(func_def_658,type,
    none_nat: option_nat ).

thf(func_def_659,type,
    none_num: option_num ).

thf(func_def_660,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_661,type,
    none_real: option_real ).

thf(func_def_662,type,
    none_set_nat: option_set_nat ).

thf(func_def_663,type,
    none_VEBT_VEBT: option_VEBT_VEBT ).

thf(func_def_664,type,
    some_int: int > option_int ).

thf(func_def_665,type,
    some_nat: nat > option_nat ).

thf(func_def_666,type,
    some_num: num > option_num ).

thf(func_def_667,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_668,type,
    some_VEBT_VEBT: vEBT_VEBT > option_VEBT_VEBT ).

thf(func_def_669,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_670,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_671,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_672,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_673,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_674,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_675,type,
    order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_676,type,
    bot_bot_o_o: $o > $o ).

thf(func_def_677,type,
    bot_bot_int_int_o: int > int > $o ).

thf(func_def_678,type,
    bot_bot_int_o: int > $o ).

thf(func_def_679,type,
    bot_bot_list_nat_o: list_nat > $o ).

thf(func_def_680,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(func_def_681,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_682,type,
    bot_bo4898103413517107610_nat_o: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_683,type,
    bot_bot_real_o: real > $o ).

thf(func_def_684,type,
    bot_bot_set_nat_o: set_nat > $o ).

thf(func_def_685,type,
    bot_bo2578006069712851624enat_o: vEBT_VEBT > extended_enat > $o ).

thf(func_def_686,type,
    bot_bo1565574316222977092_nat_o: vEBT_VEBT > nat > $o ).

thf(func_def_687,type,
    bot_bot_o: $o ).

thf(func_def_688,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_689,type,
    bot_bot_filter_nat: filter_nat ).

thf(func_def_690,type,
    bot_bot_nat: nat ).

thf(func_def_691,type,
    bot_bot_set_o: set_o ).

thf(func_def_692,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_693,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

thf(func_def_694,type,
    bot_bo498966703094740906er_nat: set_filter_nat ).

thf(func_def_695,type,
    bot_bot_set_int: set_int ).

thf(func_def_696,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(func_def_697,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_698,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_699,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_700,type,
    bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).

thf(func_def_701,type,
    bot_bo4330027929424010533d_enat: set_Pr2457182780427864761d_enat ).

thf(func_def_702,type,
    bot_bo1642239108664514429BT_nat: set_Pr7556676689462069481BT_nat ).

thf(func_def_703,type,
    bot_bot_set_real: set_real ).

thf(func_def_704,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_705,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_706,type,
    ord_Le1955565732374568822d_enat: ( extended_enat > $o ) > extended_enat ).

thf(func_def_707,type,
    ord_Least_nat: ( nat > $o ) > nat ).

thf(func_def_708,type,
    ord_less_o: $o > $o > $o ).

thf(func_def_709,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_710,type,
    ord_less_filter_nat: filter_nat > filter_nat > $o ).

thf(func_def_711,type,
    ord_less_int: int > int > $o ).

thf(func_def_712,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_713,type,
    ord_less_num: num > num > $o ).

thf(func_def_714,type,
    ord_less_real: real > real > $o ).

thf(func_def_715,type,
    ord_less_set_o: set_o > set_o > $o ).

thf(func_def_716,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_717,type,
    ord_le2529575680413868914d_enat: set_Extended_enat > set_Extended_enat > $o ).

thf(func_def_718,type,
    ord_le6505334834405097322er_nat: set_filter_nat > set_filter_nat > $o ).

thf(func_def_719,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_720,type,
    ord_le1190675801316882794st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_721,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_722,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_723,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_724,type,
    ord_less_eq_o_o: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_725,type,
    ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_726,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_727,type,
    ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_728,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_729,type,
    ord_le5604493270027003598_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(func_def_730,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_731,type,
    ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_732,type,
    ord_le2691948842708570076enat_o: ( vEBT_VEBT > extended_enat > $o ) > ( vEBT_VEBT > extended_enat > $o ) > $o ).

thf(func_def_733,type,
    ord_le1182472622972956176_nat_o: ( vEBT_VEBT > nat > $o ) > ( vEBT_VEBT > nat > $o ) > $o ).

thf(func_def_734,type,
    ord_less_eq_o: $o > $o > $o ).

thf(func_def_735,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_736,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_737,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_738,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_739,type,
    ord_less_eq_num: num > num > $o ).

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

thf(func_def_741,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_742,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_743,type,
    ord_le7203529160286727270d_enat: set_Extended_enat > set_Extended_enat > $o ).

thf(func_def_744,type,
    ord_le2426478655948331894er_nat: set_filter_nat > set_filter_nat > $o ).

thf(func_def_745,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_746,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_747,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_748,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_749,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_750,type,
    ord_le3000389064537975527at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_751,type,
    ord_le8566326065971749465d_enat: set_Pr2457182780427864761d_enat > set_Pr2457182780427864761d_enat > $o ).

thf(func_def_752,type,
    ord_le3442269383143156041BT_nat: set_Pr7556676689462069481BT_nat > set_Pr7556676689462069481BT_nat > $o ).

thf(func_def_753,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_754,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_755,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_756,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_757,type,
    ord_max_filter_nat: filter_nat > filter_nat > filter_nat ).

thf(func_def_758,type,
    ord_max_int: int > int > int ).

thf(func_def_759,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_760,type,
    ord_max_real: real > real > real ).

thf(func_def_761,type,
    ord_max_set_o: set_o > set_o > set_o ).

thf(func_def_762,type,
    ord_max_set_int: set_int > set_int > set_int ).

thf(func_def_763,type,
    ord_max_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_764,type,
    ord_max_set_real: set_real > set_real > set_real ).

thf(func_def_765,type,
    ord_min_int: int > int > int ).

thf(func_def_766,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_767,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_768,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_769,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_770,type,
    ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_771,type,
    top_top_set_o: set_o ).

thf(func_def_772,type,
    top_top_set_int: set_int ).

thf(func_def_773,type,
    top_top_set_nat: set_nat ).

thf(func_def_774,type,
    top_top_set_real: set_real ).

thf(func_def_775,type,
    top_top_set_char: set_char ).

thf(func_def_776,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_777,type,
    power_8040749407984259932d_enat: extended_enat > nat > extended_enat ).

thf(func_def_778,type,
    power_power_int: int > nat > int ).

thf(func_def_779,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_780,type,
    power_power_real: real > nat > real ).

thf(func_def_781,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(func_def_782,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_783,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_784,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_785,type,
    product_Pair_o_real: $o > real > product_prod_o_real ).

thf(func_def_786,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_787,type,
    product_Pair_int_o: int > $o > product_prod_int_o ).

thf(func_def_788,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_789,type,
    product_Pair_int_nat: int > nat > product_prod_int_nat ).

thf(func_def_790,type,
    produc801115645435158769t_real: int > real > produc679980390762269497t_real ).

thf(func_def_791,type,
    produc3329399203697025711T_VEBT: int > vEBT_VEBT > produc1531783533982839933T_VEBT ).

thf(func_def_792,type,
    produc364263696895485585st_int: list_int > list_int > produc1186641810826059865st_int ).

thf(func_def_793,type,
    produc2694037385005941721st_nat: list_nat > list_nat > produc1828647624359046049st_nat ).

thf(func_def_794,type,
    produc5943733680697469783at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > produc6392793444374437607at_nat ).

thf(func_def_795,type,
    produc3897820843166775703T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > produc9211091688327510695T_VEBT ).

thf(func_def_796,type,
    product_Pair_nat_int: nat > int > product_prod_nat_int ).

thf(func_def_797,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_798,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_799,type,
    produc599794634098209291T_VEBT: nat > vEBT_VEBT > produc8025551001238799321T_VEBT ).

thf(func_def_800,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_801,type,
    product_Pair_real_o: real > $o > product_prod_real_o ).

thf(func_def_802,type,
    produc3179012173361985393al_int: real > int > produc8786904178792722361al_int ).

thf(func_def_803,type,
    produc3181502643871035669al_nat: real > nat > produc3741383161447143261al_nat ).

thf(func_def_804,type,
    produc4511245868158468465l_real: real > real > produc2422161461964618553l_real ).

thf(func_def_805,type,
    produc6931449550656315951T_VEBT: real > vEBT_VEBT > produc3757001726724277373T_VEBT ).

thf(func_def_806,type,
    produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).

thf(func_def_807,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_808,type,
    produc581526299967858633d_enat: vEBT_VEBT > extended_enat > produc7272778201969148633d_enat ).

thf(func_def_809,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_810,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_811,type,
    produc8117437818029410057T_real: vEBT_VEBT > real > produc5170161368751668367T_real ).

thf(func_def_812,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_813,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_814,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_815,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_816,type,
    produc4257766111578684402_set_o: ( int > int > set_o ) > product_prod_int_int > set_o ).

thf(func_def_817,type,
    produc6452406959799940328t_real: ( int > int > set_real ) > product_prod_int_int > set_real ).

thf(func_def_818,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_819,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_820,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_821,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(func_def_822,type,
    produc2676513652042109336d_enat: ( nat > nat > extended_enat ) > product_prod_nat_nat > extended_enat ).

thf(func_def_823,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_824,type,
    produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).

thf(func_def_825,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_826,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_827,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(func_def_828,type,
    produc59986286002894506_set_o: ( nat > nat > set_o ) > product_prod_nat_nat > set_o ).

thf(func_def_829,type,
    produc2011625207790711856et_int: ( nat > nat > set_int ) > product_prod_nat_nat > set_int ).

thf(func_def_830,type,
    produc6189476227299908564et_nat: ( nat > nat > set_nat ) > product_prod_nat_nat > set_nat ).

thf(func_def_831,type,
    produc3668448655016342576t_real: ( nat > nat > set_real ) > product_prod_nat_nat > set_real ).

thf(func_def_832,type,
    produc6590410687421337004_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc859450856879609959at_nat > $o ).

thf(func_def_833,type,
    produc6744312701629110395at_nat: ( product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ) > produc859450856879609959at_nat > produc859450856879609959at_nat ).

thf(func_def_834,type,
    produc1206667027950169146enat_o: ( vEBT_VEBT > extended_enat > $o ) > produc7272778201969148633d_enat > $o ).

thf(func_def_835,type,
    produc4174022389229927035d_enat: ( vEBT_VEBT > extended_enat > produc7272778201969148633d_enat ) > produc7272778201969148633d_enat > produc7272778201969148633d_enat ).

thf(func_def_836,type,
    produc7574032145190910526_nat_o: ( vEBT_VEBT > nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_837,type,
    produc2645369811736392845BT_nat: ( vEBT_VEBT > nat > produc9072475918466114483BT_nat ) > produc9072475918466114483BT_nat > produc9072475918466114483BT_nat ).

thf(func_def_838,type,
    produc162892877563308318_set_o: ( vEBT_VEBT > nat > set_o ) > produc9072475918466114483BT_nat > set_o ).

thf(func_def_839,type,
    produc4601227381281490620et_int: ( vEBT_VEBT > nat > set_int ) > produc9072475918466114483BT_nat > set_int ).

thf(func_def_840,type,
    produc8779078400790687328et_nat: ( vEBT_VEBT > nat > set_nat ) > produc9072475918466114483BT_nat > set_nat ).

thf(func_def_841,type,
    produc4370036051912753340t_real: ( vEBT_VEBT > nat > set_real ) > produc9072475918466114483BT_nat > set_real ).

thf(func_def_842,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_843,type,
    product_fst_int_nat: product_prod_int_nat > int ).

thf(func_def_844,type,
    produc2081412961586463171T_VEBT: produc1531783533982839933T_VEBT > int ).

thf(func_def_845,type,
    product_fst_nat_int: product_prod_nat_int > nat ).

thf(func_def_846,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_847,type,
    produc8575180428842422559T_VEBT: produc8025551001238799321T_VEBT > nat ).

thf(func_def_848,type,
    produc3213797794245857475at_nat: produc859450856879609959at_nat > product_prod_nat_nat ).

thf(func_def_849,type,
    produc967593531271825845d_enat: produc7272778201969148633d_enat > vEBT_VEBT ).

thf(func_def_850,type,
    produc8711427728657393693BT_int: produc4894624898956917775BT_int > vEBT_VEBT ).

thf(func_def_851,type,
    produc8713918199166443969BT_nat: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_852,type,
    produc6118266651365575811T_VEBT: produc8243902056947475879T_VEBT > vEBT_VEBT ).

thf(func_def_853,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_854,type,
    product_snd_int_nat: product_prod_int_nat > nat ).

thf(func_def_855,type,
    produc1678900780639429121T_VEBT: produc1531783533982839933T_VEBT > vEBT_VEBT ).

thf(func_def_856,type,
    product_snd_nat_int: product_prod_nat_int > int ).

thf(func_def_857,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_858,type,
    produc8172668247895388509T_VEBT: produc8025551001238799321T_VEBT > vEBT_VEBT ).

thf(func_def_859,type,
    produc6408287024330202629at_nat: produc859450856879609959at_nat > product_prod_nat_nat ).

thf(func_def_860,type,
    produc522021263368680183d_enat: produc7272778201969148633d_enat > extended_enat ).

thf(func_def_861,type,
    produc8308915547710359643BT_int: produc4894624898956917775BT_int > int ).

thf(func_def_862,type,
    produc8311406018219409919BT_nat: produc9072475918466114483BT_nat > nat ).

thf(func_def_863,type,
    produc351232539757196229T_VEBT: produc8243902056947475879T_VEBT > vEBT_VEBT ).

thf(func_def_864,type,
    product_Abs_unit: $o > product_unit ).

thf(func_def_865,type,
    product_Rep_unit: product_unit > $o ).

thf(func_def_866,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_867,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_868,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_869,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_870,type,
    real_V1803761363581548252l_real: real > real ).

thf(func_def_871,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_872,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(func_def_873,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_874,type,
    algebr934650988132801477me_nat: nat > nat > $o ).

thf(func_def_875,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_876,type,
    divide_divide_int: int > int > int ).

thf(func_def_877,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_878,type,
    divide_divide_real: real > real > real ).

thf(func_def_879,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_880,type,
    dvd_dv3785147216227455552d_enat: extended_enat > extended_enat > $o ).

thf(func_def_881,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_882,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_883,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_884,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_885,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_886,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_887,type,
    zero_n1046097342994218471d_enat: $o > extended_enat ).

thf(func_def_888,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_889,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_890,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_891,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_892,type,
    suminf_int: ( nat > int ) > int ).

thf(func_def_893,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(func_def_894,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_895,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_896,type,
    summable_int: ( nat > int ) > $o ).

thf(func_def_897,type,
    summable_nat: ( nat > nat ) > $o ).

thf(func_def_898,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_899,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(func_def_900,type,
    sums_int: ( nat > int ) > int > $o ).

thf(func_def_901,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(func_def_902,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_903,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_904,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_905,type,
    collec4429806609662206161d_enat: ( extended_enat > $o ) > set_Extended_enat ).

thf(func_def_906,type,
    collect_filter_nat: ( filter_nat > $o ) > set_filter_nat ).

thf(func_def_907,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_908,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(func_def_909,type,
    collec8433460942617342167d_enat: ( list_Extended_enat > $o ) > set_li5464603477888414924d_enat ).

thf(func_def_910,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(func_def_911,type,
    collec5989764272469232197st_nat: ( list_list_nat > $o ) > set_list_list_nat ).

thf(func_def_912,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_913,type,
    collect_list_set_nat: ( list_set_nat > $o ) > set_list_set_nat ).

thf(func_def_914,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(func_def_915,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_916,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_917,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_918,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_919,type,
    collect_set_complex: ( set_complex > $o ) > set_set_complex ).

thf(func_def_920,type,
    collec2260605976452661553d_enat: ( set_Extended_enat > $o ) > set_se7270636423289371942d_enat ).

thf(func_def_921,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_922,type,
    collect_set_list_nat: ( set_list_nat > $o ) > set_set_list_nat ).

thf(func_def_923,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_924,type,
    collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).

thf(func_def_925,type,
    pow_nat: set_nat > set_set_nat ).

thf(func_def_926,type,
    image_80655429650038917d_enat: ( extended_enat > extended_enat ) > set_Extended_enat > set_Extended_enat ).

thf(func_def_927,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_928,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_929,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_930,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_931,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_932,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_933,type,
    insert_o2: $o > set_o > set_o ).

thf(func_def_934,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_935,type,
    insert_Extended_enat: extended_enat > set_Extended_enat > set_Extended_enat ).

thf(func_def_936,type,
    insert_int2: int > set_int > set_int ).

thf(func_def_937,type,
    insert_list_nat: list_nat > set_list_nat > set_list_nat ).

thf(func_def_938,type,
    insert_nat2: nat > set_nat > set_nat ).

thf(func_def_939,type,
    insert_real2: real > set_real > set_real ).

thf(func_def_940,type,
    insert_set_nat2: set_nat > set_set_nat > set_set_nat ).

thf(func_def_941,type,
    insert_VEBT_VEBT2: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_942,type,
    is_singleton_o: set_o > $o ).

thf(func_def_943,type,
    is_singleton_int: set_int > $o ).

thf(func_def_944,type,
    is_singleton_nat: set_nat > $o ).

thf(func_def_945,type,
    is_singleton_real: set_real > $o ).

thf(func_def_946,type,
    is_singleton_set_nat: set_set_nat > $o ).

thf(func_def_947,type,
    the_elem_o: set_o > $o ).

thf(func_def_948,type,
    the_elem_int: set_int > int ).

thf(func_def_949,type,
    the_elem_nat: set_nat > nat ).

thf(func_def_950,type,
    the_elem_real: set_real > real ).

thf(func_def_951,type,
    vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_952,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_953,type,
    set_fo2538466533108834004d_enat: ( nat > extended_enat > extended_enat ) > nat > nat > extended_enat > extended_enat ).

thf(func_def_954,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_955,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_956,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_957,type,
    set_or8904488021354931149Most_o: $o > $o > set_o ).

thf(func_def_958,type,
    set_or5403411693681687835d_enat: extended_enat > extended_enat > set_Extended_enat ).

thf(func_def_959,type,
    set_or1955772592623580779er_nat: filter_nat > filter_nat > set_filter_nat ).

thf(func_def_960,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_961,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_962,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_963,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_964,type,
    set_or7139685690850216873Than_o: $o > $o > set_o ).

thf(func_def_965,type,
    set_or4374356025156299511d_enat: extended_enat > extended_enat > set_Extended_enat ).

thf(func_def_966,type,
    set_or1773934645810362255er_nat: filter_nat > filter_nat > set_filter_nat ).

thf(func_def_967,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_968,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_969,type,
    set_or66887138388493659n_real: real > real > set_real ).

thf(func_def_970,type,
    set_or3540276404033026485et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_971,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_972,type,
    set_ord_atMost_o: $o > set_o ).

thf(func_def_973,type,
    set_or8332593352340944941d_enat: extended_enat > set_Extended_enat ).

thf(func_def_974,type,
    set_or9144418160755794905er_nat: filter_nat > set_filter_nat ).

thf(func_def_975,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_976,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_977,type,
    set_ord_atMost_real: real > set_real ).

thf(func_def_978,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

thf(func_def_979,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_980,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_981,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_982,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_983,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_984,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_985,type,
    set_ord_lessThan_o: $o > set_o ).

thf(func_def_986,type,
    set_or8419480210114673929d_enat: extended_enat > set_Extended_enat ).

thf(func_def_987,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_988,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_989,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_990,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

thf(func_def_991,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_992,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_993,type,
    topolo6427056007704750605er_nat: ( nat > filter_nat ) > $o ).

thf(func_def_994,type,
    topolo4899668324122417113eq_int: ( nat > int ) > $o ).

thf(func_def_995,type,
    topolo4902158794631467389eq_nat: ( nat > nat ) > $o ).

thf(func_def_996,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_997,type,
    topolo7278393974255667507et_nat: ( nat > set_nat ) > $o ).

thf(func_def_998,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_999,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_1000,type,
    topolo6517432010174082258omplex: ( nat > complex ) > $o ).

thf(func_def_1001,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_1002,type,
    arcosh_real: real > real ).

thf(func_def_1003,type,
    arctan: real > real ).

thf(func_def_1004,type,
    arsinh_real: real > real ).

thf(func_def_1005,type,
    artanh_real: real > real ).

thf(func_def_1006,type,
    cos_complex: complex > complex ).

thf(func_def_1007,type,
    cos_real: real > real ).

thf(func_def_1008,type,
    cos_coeff: nat > real ).

thf(func_def_1009,type,
    cosh_complex: complex > complex ).

thf(func_def_1010,type,
    cosh_real: real > real ).

thf(func_def_1011,type,
    diffs_complex: ( nat > complex ) > nat > complex ).

thf(func_def_1012,type,
    diffs_int: ( nat > int ) > nat > int ).

thf(func_def_1013,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(func_def_1014,type,
    exp_complex: complex > complex ).

thf(func_def_1015,type,
    exp_real: real > real ).

thf(func_def_1016,type,
    ln_ln_real: real > real ).

thf(func_def_1017,type,
    log: real > real > real ).

thf(func_def_1018,type,
    pi: real ).

thf(func_def_1019,type,
    powr_real: real > real > real ).

thf(func_def_1020,type,
    sin_complex: complex > complex ).

thf(func_def_1021,type,
    sin_real: real > real ).

thf(func_def_1022,type,
    sin_coeff: nat > real ).

thf(func_def_1023,type,
    sinh_complex: complex > complex ).

thf(func_def_1024,type,
    sinh_real: real > real ).

thf(func_def_1025,type,
    tan_complex: complex > complex ).

thf(func_def_1026,type,
    tan_real: real > real ).

thf(func_def_1027,type,
    tanh_complex: complex > complex ).

thf(func_def_1028,type,
    tanh_real: real > real ).

thf(func_def_1029,type,
    bi_tot896582865486249351at_int: ( product_prod_nat_nat > int > $o ) > $o ).

thf(func_def_1030,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1031,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1032,type,
    type_d6188575255521822967unit_o: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).

thf(func_def_1033,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_1034,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1035,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_1036,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_1037,type,
    vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).

thf(func_def_1038,type,
    vEBT_V312737461966249ad_rel: produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o ).

thf(func_def_1039,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_1040,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_1041,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_1042,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_1043,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1044,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_1045,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1046,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_1047,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1048,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_1049,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1050,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_1051,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_1052,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1053,type,
    vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1054,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_1055,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_1056,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1057,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_1058,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1059,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_1060,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_1061,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_1062,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1063,type,
    accp_P6183159247885693666d_enat: ( produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o ) > produc7272778201969148633d_enat > $o ).

thf(func_def_1064,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_1065,type,
    less_than: set_Pr1261947904930325089at_nat ).

thf(func_def_1066,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1067,type,
    wf_int: set_Pr958786334691620121nt_int > $o ).

thf(func_def_1068,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1069,type,
    member_o2: $o > set_o > $o ).

thf(func_def_1070,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_1071,type,
    member_Extended_enat: extended_enat > set_Extended_enat > $o ).

thf(func_def_1072,type,
    member_filter_nat: filter_nat > set_filter_nat > $o ).

thf(func_def_1073,type,
    member_int2: int > set_int > $o ).

thf(func_def_1074,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_1075,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_1076,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_1077,type,
    member_nat2: nat > set_nat > $o ).

thf(func_def_1078,type,
    member_num: num > set_num > $o ).

thf(func_def_1079,type,
    member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_1080,type,
    member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).

thf(func_def_1081,type,
    member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).

thf(func_def_1082,type,
    member7400031367953476362o_real: product_prod_o_real > set_Pr6573716822653411497o_real > $o ).

thf(func_def_1083,type,
    member5477980866518848620T_VEBT: produc2504756804600209347T_VEBT > set_Pr7543698050874017315T_VEBT > $o ).

thf(func_def_1084,type,
    member4489920277610959864_int_o: product_prod_int_o > set_Pr903927857289325719_int_o > $o ).

thf(func_def_1085,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_1086,type,
    member216504246829706758nt_nat: product_prod_int_nat > set_Pr3448869479623346877nt_nat > $o ).

thf(func_def_1087,type,
    member2744130022092475746t_real: produc679980390762269497t_real > set_Pr3538720872664544793t_real > $o ).

thf(func_def_1088,type,
    member2056185340421749780T_VEBT: produc1531783533982839933T_VEBT > set_Pr8044002425091019955T_VEBT > $o ).

thf(func_def_1089,type,
    member6698963635872716290st_int: produc1186641810826059865st_int > set_Pr765067013931698361st_int > $o ).

thf(func_def_1090,type,
    member7340969449405702474st_nat: produc1828647624359046049st_nat > set_Pr3451248702717554689st_nat > $o ).

thf(func_def_1091,type,
    member6693912407220327184at_nat: produc6392793444374437607at_nat > set_Pr1542805901266377927at_nat > $o ).

thf(func_def_1092,type,
    member4439316823752958928T_VEBT: produc9211091688327510695T_VEBT > set_Pr1916528119006554503T_VEBT > $o ).

thf(func_def_1093,type,
    member4262671552274231302at_int: product_prod_nat_int > set_Pr7995236796853374141at_int > $o ).

thf(func_def_1094,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1095,type,
    member8549952807677709168T_VEBT: produc8025551001238799321T_VEBT > set_Pr6167073792073659919T_VEBT > $o ).

thf(func_def_1096,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_1097,type,
    member772602641336174712real_o: product_prod_real_o > set_Pr4936984352647145239real_o > $o ).

thf(func_def_1098,type,
    member1627681773268152802al_int: produc8786904178792722361al_int > set_Pr1019928272762051225al_int > $o ).

thf(func_def_1099,type,
    member5805532792777349510al_nat: produc3741383161447143261al_nat > set_Pr3510011417693777981al_nat > $o ).

thf(func_def_1100,type,
    member7849222048561428706l_real: produc2422161461964618553l_real > set_Pr6218003697084177305l_real > $o ).

thf(func_def_1101,type,
    member7262085504369356948T_VEBT: produc3757001726724277373T_VEBT > set_Pr6019664923565264691T_VEBT > $o ).

thf(func_def_1102,type,
    member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).

thf(func_def_1103,type,
    member3307348790968139188VEBT_o: produc334124729049499915VEBT_o > set_Pr3175402225741728619VEBT_o > $o ).

thf(func_def_1104,type,
    member38198578724832770d_enat: produc7272778201969148633d_enat > set_Pr2457182780427864761d_enat > $o ).

thf(func_def_1105,type,
    member5419026705395827622BT_int: produc4894624898956917775BT_int > set_Pr5066593544530342725BT_int > $o ).

thf(func_def_1106,type,
    member373505688050248522BT_nat: produc9072475918466114483BT_nat > set_Pr7556676689462069481BT_nat > $o ).

thf(func_def_1107,type,
    member8675245146396747942T_real: produc5170161368751668367T_real > set_Pr7765410600122031685T_real > $o ).

thf(func_def_1108,type,
    member568628332442017744T_VEBT: produc8243902056947475879T_VEBT > set_Pr6192946355708809607T_VEBT > $o ).

thf(func_def_1109,type,
    member_real2: real > set_real > $o ).

thf(func_def_1110,type,
    member_set_nat2: set_nat > set_set_nat > $o ).

thf(func_def_1111,type,
    member_VEBT_VEBT2: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_1112,type,
    deg: nat ).

thf(func_def_1113,type,
    i: nat ).

thf(func_def_1114,type,
    m: nat ).

thf(func_def_1115,type,
    ma: nat ).

thf(func_def_1116,type,
    mi: nat ).

thf(func_def_1117,type,
    na: nat ).

thf(func_def_1118,type,
    summary: vEBT_VEBT ).

thf(func_def_1119,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_1120,type,
    xa: nat ).

thf(func_def_1122,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_1123,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_1124,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_1125,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_1126,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_1129,type,
    vAND: $o > $o > $o ).

thf(func_def_1130,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_1131,type,
    vNOT: $o > $o ).

thf(func_def_1132,type,
    vOR: $o > $o > $o ).

thf(func_def_1133,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1134,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1135,type,
    vIMP: $o > $o > $o ).

thf(func_def_1136,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_1137,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_1138,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_1139,type,
    sP0: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1140,type,
    sP1: real > real > real > $o ).

thf(func_def_1141,type,
    sP2: vEBT_VEBT > nat > $o ).

thf(func_def_1142,type,
    sP3: nat > vEBT_VEBT > $o ).

thf(func_def_1143,type,
    sP4: vEBT_VEBT > nat > $o ).

thf(func_def_1144,type,
    sP5: list_VEBT_VEBT > nat > nat > nat > nat > $o ).

thf(func_def_1145,type,
    sP6: vEBT_VEBT > nat > $o ).

thf(func_def_1146,type,
    sP7: nat > nat > nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_1147,type,
    sP8: int > int > int > $o ).

thf(func_def_1148,type,
    sP9: nat > nat > nat > $o ).

thf(func_def_1149,type,
    sP10: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1150,type,
    sP11: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1151,type,
    sK12: nat > nat > nat ).

thf(func_def_1152,type,
    sK13: ( nat > nat ) > nat ).

thf(func_def_1153,type,
    sK14: ( nat > nat ) > nat ).

thf(func_def_1154,type,
    sK15: ( nat > real ) > nat ).

thf(func_def_1155,type,
    sK16: int > nat ).

thf(func_def_1156,type,
    sK17: nat > nat > nat ).

thf(func_def_1157,type,
    sK18: nat > nat > nat ).

thf(func_def_1158,type,
    sK19: set_o > $o ).

thf(func_def_1159,type,
    sK20: list_VEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1160,type,
    sK21: ( set_complex > $o ) > set_complex ).

thf(func_def_1161,type,
    sK22: ( nat > real ) > nat ).

thf(func_def_1162,type,
    sK23: ( nat > real ) > nat ).

thf(func_def_1163,type,
    sK24: ( nat > real ) > nat > nat ).

thf(func_def_1164,type,
    sK25: ( extended_enat > real ) > extended_enat ).

thf(func_def_1165,type,
    sK26: ( extended_enat > real ) > extended_enat ).

thf(func_def_1166,type,
    sK27: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1167,type,
    sK28: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1168,type,
    sK29: vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1169,type,
    sK30: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1170,type,
    sK31: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1171,type,
    sK32: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1172,type,
    sK33: vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1173,type,
    sK34: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1174,type,
    sK35: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1175,type,
    sK36: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1176,type,
    sK37: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1177,type,
    sK38: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1178,type,
    sK39: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1179,type,
    sK40: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1180,type,
    sK41: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1181,type,
    sK42: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1182,type,
    sK43: nat > nat ).

thf(func_def_1183,type,
    sK44: int > int ).

thf(func_def_1184,type,
    sK45: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1185,type,
    sK46: ( set_o > $o ) > set_o ).

thf(func_def_1186,type,
    sK47: ( set_o > $o ) > set_o ).

thf(func_def_1187,type,
    sK48: ( set_o > $o ) > $o ).

thf(func_def_1188,type,
    sK49: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_1189,type,
    sK50: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_1190,type,
    sK51: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1191,type,
    sK52: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1192,type,
    sK53: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1193,type,
    sK54: ( real > int ) > real ).

thf(func_def_1194,type,
    sK55: ( real > int ) > real ).

thf(func_def_1195,type,
    sK56: set_int > int ).

thf(func_def_1196,type,
    sK57: ( nat > int ) > ( nat > int ) > nat > nat > nat ).

thf(func_def_1197,type,
    sK58: ( nat > extended_enat ) > nat ).

thf(func_def_1198,type,
    sK59: nat > nat > nat > nat ).

thf(func_def_1199,type,
    sK60: nat > nat > nat > nat ).

thf(func_def_1200,type,
    sK61: ( nat > nat ) > nat ).

thf(func_def_1201,type,
    sK62: ( nat > nat ) > nat ).

thf(func_def_1202,type,
    sK63: set_nat > nat > nat ).

thf(func_def_1203,type,
    sK64: int > nat ).

thf(func_def_1204,type,
    sK65: int > nat ).

thf(func_def_1205,type,
    sK66: ( nat > int ) > nat ).

thf(func_def_1206,type,
    sK67: ( nat > int ) > nat ).

thf(func_def_1207,type,
    sK68: produc9072475918466114483BT_nat > nat ).

thf(func_def_1208,type,
    sK69: produc9072475918466114483BT_nat > nat ).

thf(func_def_1209,type,
    sK70: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1210,type,
    sK71: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1211,type,
    sK72: produc9072475918466114483BT_nat > nat ).

thf(func_def_1212,type,
    sK73: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1213,type,
    sK74: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1214,type,
    sK75: produc9072475918466114483BT_nat > nat ).

thf(func_def_1215,type,
    sK76: produc9072475918466114483BT_nat > nat ).

thf(func_def_1216,type,
    sK77: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1217,type,
    sK78: produc9072475918466114483BT_nat > nat ).

thf(func_def_1218,type,
    sK79: produc9072475918466114483BT_nat > nat ).

thf(func_def_1219,type,
    sK80: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1220,type,
    sK81: produc9072475918466114483BT_nat > nat ).

thf(func_def_1221,type,
    sK82: produc9072475918466114483BT_nat > $o ).

thf(func_def_1222,type,
    sK83: produc9072475918466114483BT_nat > nat ).

thf(func_def_1223,type,
    sK84: produc9072475918466114483BT_nat > $o ).

thf(func_def_1224,type,
    sK85: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1225,type,
    sK86: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1226,type,
    sK87: produc9072475918466114483BT_nat > nat ).

thf(func_def_1227,type,
    sK88: produc9072475918466114483BT_nat > nat ).

thf(func_def_1228,type,
    sK89: ( real > nat ) > real ).

thf(func_def_1229,type,
    sK90: ( real > nat ) > real ).

thf(func_def_1230,type,
    sK91: ( set_nat > $o ) > nat ).

thf(func_def_1231,type,
    sK92: ( set_nat > $o ) > set_nat ).

thf(func_def_1232,type,
    sK93: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1233,type,
    sK94: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1234,type,
    sK95: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1235,type,
    sK96: int > ( int > $o ) > int ).

thf(func_def_1236,type,
    sK97: product_prod_nat_nat > nat ).

thf(func_def_1237,type,
    sK98: product_prod_nat_nat > nat ).

thf(func_def_1238,type,
    sK99: ( set_real > $o ) > real ).

thf(func_def_1239,type,
    sK100: ( set_real > $o ) > set_real ).

thf(func_def_1240,type,
    sK101: ( set_real > $o ) > real ).

thf(func_def_1241,type,
    sK102: nat > nat ).

thf(func_def_1242,type,
    sK103: ( set_Extended_enat > $o ) > ( extended_enat > real ) > set_Extended_enat ).

thf(func_def_1243,type,
    sK104: ( set_Extended_enat > $o ) > ( extended_enat > real ) > extended_enat ).

thf(func_def_1244,type,
    sK105: set_nat > ( nat > nat ) > nat ).

thf(func_def_1245,type,
    sK106: ( nat > $o ) > nat > nat ).

thf(func_def_1246,type,
    sK107: ( nat > $o ) > nat > nat ).

thf(func_def_1247,type,
    sK108: set_o > set_o ).

thf(func_def_1248,type,
    sK109: set_o > $o ).

thf(func_def_1249,type,
    sK110: ( real > real > $o ) > real ).

thf(func_def_1250,type,
    sK111: ( real > real > $o ) > real ).

thf(func_def_1251,type,
    sK112: ( real > real > $o ) > real ).

thf(func_def_1252,type,
    sK113: ( real > real > $o ) > real ).

thf(func_def_1253,type,
    sK114: ( int > int > $o ) > int ).

thf(func_def_1254,type,
    sK115: ( int > int > $o ) > int ).

thf(func_def_1255,type,
    sK116: ( int > int > $o ) > int ).

thf(func_def_1256,type,
    sK117: ( int > int > $o ) > int ).

thf(func_def_1257,type,
    sK118: ( int > int > $o ) > int ).

thf(func_def_1258,type,
    sK119: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1259,type,
    sK120: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1260,type,
    sK121: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1261,type,
    sK122: real > real ).

thf(func_def_1262,type,
    sK123: set_nat > nat ).

thf(func_def_1263,type,
    sK124: ( real > nat ) > real ).

thf(func_def_1264,type,
    sK125: ( real > nat ) > real ).

thf(func_def_1265,type,
    sK126: real > real ).

thf(func_def_1266,type,
    sK127: ( set_real > $o ) > real ).

thf(func_def_1267,type,
    sK128: ( set_real > $o ) > set_real ).

thf(func_def_1268,type,
    sK129: set_nat > ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_1269,type,
    sK130: ( extended_enat > $o ) > extended_enat > extended_enat > extended_enat ).

thf(func_def_1270,type,
    sK131: extended_enat > ( extended_enat > $o ) > extended_enat > extended_enat ).

thf(func_def_1271,type,
    sK132: ( extended_enat > real ) > extended_enat ).

thf(func_def_1272,type,
    sK133: ( extended_enat > real ) > extended_enat ).

thf(func_def_1273,type,
    sK134: ( nat > nat ) > nat ).

thf(func_def_1274,type,
    sK135: ( nat > nat ) > nat ).

thf(func_def_1275,type,
    sK136: nat > nat > nat ).

thf(func_def_1276,type,
    sK137: nat > nat > nat ).

thf(func_def_1277,type,
    sK138: real > real > nat ).

thf(func_def_1278,type,
    sK139: ( nat > nat > $o ) > nat ).

thf(func_def_1279,type,
    sK140: ( nat > nat > $o ) > nat ).

thf(func_def_1280,type,
    sK141: ( nat > nat > $o ) > nat ).

thf(func_def_1281,type,
    sK142: ( nat > nat > $o ) > nat ).

thf(func_def_1282,type,
    sK143: ( nat > nat > $o ) > nat ).

thf(func_def_1283,type,
    sK144: int > int ).

thf(func_def_1284,type,
    sK145: ( int > extended_enat ) > int ).

thf(func_def_1285,type,
    sK146: ( int > extended_enat ) > int ).

thf(func_def_1286,type,
    sK147: nat > real > ( nat > real ) > nat > real ).

thf(func_def_1287,type,
    sK148: ( nat > int ) > nat ).

thf(func_def_1288,type,
    sK149: ( nat > int ) > nat ).

thf(func_def_1289,type,
    sK150: ( nat > extended_enat ) > nat ).

thf(func_def_1290,type,
    sK151: ( nat > extended_enat ) > nat ).

thf(func_def_1291,type,
    sK152: ( nat > int ) > nat ).

thf(func_def_1292,type,
    sK153: ( nat > int ) > nat ).

thf(func_def_1293,type,
    sK154: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_1294,type,
    sK155: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_1295,type,
    sK156: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_1296,type,
    sK157: int > int ).

thf(func_def_1297,type,
    sK158: ( extended_enat > nat ) > extended_enat ).

thf(func_def_1298,type,
    sK159: ( extended_enat > nat ) > extended_enat ).

thf(func_def_1299,type,
    sK160: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1300,type,
    sK161: int > ( int > $o ) > int ).

thf(func_def_1301,type,
    sK162: int > int ).

thf(func_def_1302,type,
    sK163: nat > set_nat > nat ).

thf(func_def_1303,type,
    sK164: ( set_nat > $o ) > nat ).

thf(func_def_1304,type,
    sK165: ( set_nat > $o ) > set_nat ).

thf(func_def_1305,type,
    sK166: ( nat > int ) > nat > nat ).

thf(func_def_1306,type,
    sK167: ( nat > int ) > nat > int > nat ).

thf(func_def_1307,type,
    sK168: set_int > int ).

thf(func_def_1308,type,
    sK169: ( set_o > $o ) > set_o > set_o ).

thf(func_def_1309,type,
    sK170: ( set_o > $o ) > set_o > $o ).

thf(func_def_1310,type,
    sK171: ( set_nat > $o ) > nat ).

thf(func_def_1311,type,
    sK172: ( set_nat > $o ) > set_nat ).

thf(func_def_1312,type,
    sK173: ( set_nat > $o ) > nat ).

thf(func_def_1313,type,
    sK174: ( real > nat ) > real ).

thf(func_def_1314,type,
    sK175: ( real > nat ) > real ).

thf(func_def_1315,type,
    sK176: set_Extended_enat > set_Extended_enat ).

thf(func_def_1316,type,
    sK177: set_Extended_enat > extended_enat ).

thf(func_def_1317,type,
    sK178: vEBT_VEBT > $o ).

thf(func_def_1318,type,
    sK179: vEBT_VEBT > $o ).

thf(func_def_1319,type,
    sK180: ( nat > real ) > nat ).

thf(func_def_1320,type,
    sK181: produc9072475918466114483BT_nat > $o ).

thf(func_def_1321,type,
    sK182: produc9072475918466114483BT_nat > nat ).

thf(func_def_1322,type,
    sK183: produc9072475918466114483BT_nat > $o ).

thf(func_def_1323,type,
    sK184: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1324,type,
    sK185: produc9072475918466114483BT_nat > nat ).

thf(func_def_1325,type,
    sK186: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_1326,type,
    sK187: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1327,type,
    sK188: produc9072475918466114483BT_nat > nat ).

thf(func_def_1328,type,
    sK189: int > nat ).

thf(func_def_1329,type,
    sK190: ( set_o > $o ) > set_o > set_o ).

thf(func_def_1330,type,
    sK191: int > int ).

thf(func_def_1331,type,
    sK192: set_real > real ).

thf(func_def_1332,type,
    sK193: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_1333,type,
    sK194: ( real > int ) > real ).

thf(func_def_1334,type,
    sK195: ( real > int ) > real ).

thf(func_def_1335,type,
    sK196: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_1336,type,
    sK197: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_1337,type,
    sK198: ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_1338,type,
    sK199: ( nat > nat ) > nat ).

thf(func_def_1339,type,
    sK200: ( nat > nat ) > nat ).

thf(func_def_1340,type,
    sK201: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1341,type,
    sK202: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1342,type,
    sK203: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1343,type,
    sK204: int > int ).

thf(func_def_1344,type,
    sK205: ( nat > $o ) > nat ).

thf(func_def_1345,type,
    sK206: set_nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1346,type,
    sK207: extended_enat > extended_enat ).

thf(func_def_1347,type,
    sK208: ( int > nat ) > int ).

thf(func_def_1348,type,
    sK209: ( int > nat ) > int ).

thf(func_def_1349,type,
    sK210: set_nat > nat > nat ).

thf(func_def_1350,type,
    sK211: extended_enat > extended_enat ).

thf(func_def_1351,type,
    sK212: ( real > real ) > real ).

thf(func_def_1352,type,
    sK213: ( real > real ) > real ).

thf(func_def_1353,type,
    sK214: set_nat > nat ).

thf(func_def_1354,type,
    sK215: ( nat > $o ) > nat ).

thf(func_def_1355,type,
    sK216: ( set_real > $o ) > set_real > set_real ).

thf(func_def_1356,type,
    sK217: ( set_real > $o ) > set_real > real ).

thf(func_def_1357,type,
    sK218: int > int > int ).

thf(func_def_1358,type,
    sK219: ( nat > int ) > nat ).

thf(func_def_1359,type,
    sK220: ( nat > int ) > nat ).

thf(func_def_1360,type,
    sK221: ( nat > set_nat ) > nat ).

thf(func_def_1361,type,
    sK222: int > int ).

thf(func_def_1362,type,
    sK223: real > real ).

thf(func_def_1363,type,
    sK224: ( int > int > $o ) > int ).

thf(func_def_1364,type,
    sK225: ( int > int > $o ) > int ).

thf(func_def_1365,type,
    sK226: ( int > int > $o ) > int ).

thf(func_def_1366,type,
    sK227: ( int > int > $o ) > int ).

thf(func_def_1367,type,
    sK228: ( nat > nat ) > nat ).

thf(func_def_1368,type,
    sK229: ( nat > nat ) > nat ).

thf(func_def_1369,type,
    sK230: ( set_o > $o ) > set_o ).

thf(func_def_1370,type,
    sK231: ( set_o > $o ) > $o ).

thf(func_def_1371,type,
    sK232: ( nat > extended_enat ) > nat ).

thf(func_def_1372,type,
    sK233: ( nat > extended_enat ) > nat ).

thf(func_def_1373,type,
    sK234: ( set_int > $o ) > set_int > int ).

thf(func_def_1374,type,
    sK235: ( set_int > $o ) > set_int > set_int ).

thf(func_def_1375,type,
    sK236: int > int ).

thf(func_def_1376,type,
    sK237: nat > ( nat > $o ) > nat ).

thf(func_def_1377,type,
    sK238: nat > ( nat > $o ) > nat ).

thf(func_def_1378,type,
    sK239: vEBT_VEBT > nat ).

thf(func_def_1379,type,
    sK240: ( extended_enat > nat ) > extended_enat ).

thf(func_def_1380,type,
    sK241: ( extended_enat > nat ) > extended_enat ).

thf(func_def_1381,type,
    sK242: ( real > nat ) > real ).

thf(func_def_1382,type,
    sK243: ( real > nat ) > real ).

thf(func_def_1383,type,
    sK244: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1384,type,
    sK245: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1385,type,
    sK246: set_nat > nat ).

thf(func_def_1386,type,
    sK247: set_real > real ).

thf(func_def_1387,type,
    sK248: extended_enat > extended_enat ).

thf(func_def_1388,type,
    sK249: set_nat > ( nat > nat ) > nat ).

thf(func_def_1389,type,
    sK250: nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_1390,type,
    sK251: set_nat > ( nat > nat ) > nat ).

thf(func_def_1391,type,
    sK252: nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_1392,type,
    sK253: ( nat > nat ) > set_nat > nat ).

thf(func_def_1393,type,
    sK254: real > real > real ).

thf(func_def_1394,type,
    sK255: nat > nat ).

thf(func_def_1395,type,
    sK256: nat > nat > nat > nat ).

thf(func_def_1396,type,
    sK257: ( int > real ) > int ).

thf(func_def_1397,type,
    sK258: ( int > real ) > int ).

thf(func_def_1398,type,
    sK259: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1399,type,
    sK260: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1400,type,
    sK261: nat > nat > nat > nat ).

thf(func_def_1401,type,
    sK262: ( real > real ) > real ).

thf(func_def_1402,type,
    sK263: ( real > real ) > real ).

thf(func_def_1403,type,
    sK264: set_Extended_enat > extended_enat > extended_enat ).

thf(func_def_1404,type,
    sK265: nat > nat > nat ).

thf(func_def_1405,type,
    sK266: real > real > real ).

thf(func_def_1406,type,
    sK267: int > ( int > $o ) > int ).

thf(func_def_1407,type,
    sK268: ( $o > $o > $o ) > set_o > $o ).

thf(func_def_1408,type,
    sK269: ( $o > $o > $o ) > $o ).

thf(func_def_1409,type,
    sK270: ( $o > $o > $o ) > $o ).

thf(func_def_1410,type,
    sK271: ( $o > $o > $o ) > $o ).

thf(func_def_1411,type,
    sK272: ( $o > $o > $o ) > $o ).

thf(func_def_1412,type,
    sK273: nat > ( nat > $o ) > nat ).

thf(func_def_1413,type,
    sK274: nat > ( nat > $o ) > nat ).

thf(func_def_1414,type,
    sK275: nat > nat ).

thf(func_def_1415,type,
    sK276: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1416,type,
    sK277: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1417,type,
    sK278: vEBT_VEBT > nat ).

thf(func_def_1418,type,
    sK279: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1419,type,
    sK280: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1420,type,
    sK281: vEBT_VEBT > $o ).

thf(func_def_1421,type,
    sK282: vEBT_VEBT > $o ).

thf(func_def_1422,type,
    sK283: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1423,type,
    sK284: nat > ( nat > real ) > ( nat > real ) > real ).

thf(func_def_1424,type,
    sK285: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1425,type,
    sK286: ( extended_enat > real ) > extended_enat ).

thf(func_def_1426,type,
    sK287: ( extended_enat > real ) > extended_enat ).

thf(func_def_1427,type,
    sK288: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1428,type,
    sK289: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1429,type,
    sK290: nat > nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1430,type,
    sK291: real > real ).

thf(func_def_1431,type,
    sK292: set_nat > ( nat > nat ) > nat ).

thf(func_def_1432,type,
    sK293: set_nat > ( nat > nat ) > nat ).

thf(func_def_1433,type,
    sK294: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1434,type,
    sK295: nat > ( nat > $o ) > nat ).

thf(func_def_1435,type,
    sK296: ( nat > extended_enat ) > nat ).

thf(func_def_1436,type,
    sK297: ( real > real > $o ) > real ).

thf(func_def_1437,type,
    sK298: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_1438,type,
    sK299: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_1439,type,
    sK300: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1440,type,
    sK301: list_VEBT_VEBT > nat ).

thf(func_def_1441,type,
    sK302: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1442,type,
    sK303: vEBT_VEBT > nat ).

thf(func_def_1443,type,
    sK304: ( nat > nat ) > nat ).

thf(func_def_1444,type,
    sK305: ( real > extended_enat ) > real ).

thf(func_def_1445,type,
    sK306: ( real > extended_enat ) > real ).

thf(func_def_1446,type,
    sK307: set_int > int ).

thf(func_def_1447,type,
    sK308: ( nat > int ) > nat ).

thf(func_def_1448,type,
    sK309: ( nat > int ) > nat ).

thf(func_def_1449,type,
    sK310: ( set_int > $o ) > set_int ).

thf(func_def_1450,type,
    sK311: ( set_int > $o ) > int ).

thf(func_def_1451,type,
    sK312: nat > nat ).

thf(func_def_1452,type,
    sK313: ( nat > $o ) > nat ).

thf(func_def_1453,type,
    sK314: ( nat > $o ) > nat > nat ).

thf(func_def_1454,type,
    sK315: nat > nat > nat > nat ).

thf(func_def_1455,type,
    sK316: int > set_int > int ).

thf(func_def_1456,type,
    sK317: ( nat > nat ) > nat ).

thf(func_def_1457,type,
    sK318: ( nat > nat ) > nat ).

thf(func_def_1458,type,
    sK319: ( nat > int ) > nat ).

thf(func_def_1459,type,
    sK320: ( nat > int ) > nat ).

thf(func_def_1460,type,
    sK321: ( nat > $o ) > nat > nat ).

thf(func_def_1461,type,
    sK322: ( nat > $o ) > nat > nat ).

thf(func_def_1462,type,
    sK323: int > nat ).

thf(func_def_1463,type,
    sK324: int > nat ).

thf(func_def_1464,type,
    sK325: nat > nat ).

thf(func_def_1465,type,
    sK326: ( nat > nat ) > nat ).

thf(func_def_1466,type,
    sK327: ( nat > nat ) > nat ).

thf(func_def_1467,type,
    sK328: set_Extended_enat > ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_1468,type,
    sK329: ( nat > $o ) > nat ).

thf(func_def_1469,type,
    sK330: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_1470,type,
    sK331: ( set_complex > $o ) > set_complex > complex ).

thf(func_def_1471,type,
    sK332: product_prod_nat_nat > nat ).

thf(func_def_1472,type,
    sK333: product_prod_nat_nat > nat ).

thf(func_def_1473,type,
    sK334: ( int > nat ) > int ).

thf(func_def_1474,type,
    sK335: ( int > nat ) > int ).

thf(func_def_1475,type,
    sK336: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1476,type,
    sK337: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1477,type,
    sK338: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1478,type,
    sK339: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1479,type,
    sK340: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1480,type,
    sK341: ( nat > extended_enat ) > nat ).

thf(func_def_1481,type,
    sK342: ( nat > extended_enat ) > nat ).

thf(func_def_1482,type,
    sK343: ( real > nat ) > real ).

thf(func_def_1483,type,
    sK344: ( real > nat ) > real ).

thf(func_def_1484,type,
    sK345: ( produc9072475918466114483BT_nat > $o ) > nat ).

thf(func_def_1485,type,
    sK346: ( produc9072475918466114483BT_nat > $o ) > vEBT_VEBT ).

thf(func_def_1486,type,
    sK347: nat > nat ).

thf(func_def_1487,type,
    sK348: ( nat > $o ) > nat ).

thf(func_def_1488,type,
    sK349: int > int > int ).

thf(func_def_1489,type,
    sK350: set_nat > set_nat ).

thf(func_def_1490,type,
    sK351: set_nat > nat ).

thf(func_def_1491,type,
    sK352: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1492,type,
    sK353: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1493,type,
    sK354: nat > nat ).

thf(func_def_1494,type,
    sK355: ( nat > nat ) > nat ).

thf(func_def_1495,type,
    sK356: ( nat > nat ) > nat ).

thf(func_def_1496,type,
    sK357: real > real > real ).

thf(func_def_1497,type,
    sK358: ( real > $o ) > real ).

thf(func_def_1498,type,
    sK359: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_1499,type,
    sK360: ( nat > nat ) > nat ).

thf(func_def_1500,type,
    sK361: ( nat > $o ) > nat ).

thf(func_def_1501,type,
    sK362: ( nat > nat > $o ) > nat ).

thf(func_def_1502,type,
    sK363: ( nat > nat > $o ) > nat ).

thf(func_def_1503,type,
    sK364: ( nat > nat > $o ) > nat ).

thf(func_def_1504,type,
    sK365: ( nat > nat > $o ) > nat ).

thf(func_def_1505,type,
    sK366: set_int > int > int ).

thf(func_def_1506,type,
    sK367: ( nat > $o ) > nat ).

thf(func_def_1507,type,
    sK368: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1508,type,
    sK369: real > nat ).

thf(func_def_1509,type,
    sK370: ( nat > nat > $o ) > nat ).

thf(func_def_1510,type,
    sK371: ( nat > nat > $o ) > nat ).

thf(func_def_1511,type,
    sK372: ( nat > nat > $o ) > nat ).

thf(func_def_1512,type,
    sK373: option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1513,type,
    sK374: option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1514,type,
    sK375: ( set_o > $o ) > $o ).

thf(func_def_1515,type,
    sK376: ( set_o > $o ) > set_o ).

thf(func_def_1516,type,
    sK377: ( set_o > $o ) > $o ).

thf(func_def_1517,type,
    sK378: set_nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1518,type,
    sK379: ( nat > nat > $o ) > nat ).

thf(func_def_1519,type,
    sK380: ( nat > nat > $o ) > nat ).

thf(func_def_1520,type,
    sK381: ( nat > nat > $o ) > nat ).

thf(func_def_1521,type,
    sK382: ( nat > nat > $o ) > nat ).

thf(func_def_1522,type,
    sK383: ( nat > nat > $o ) > nat ).

thf(func_def_1523,type,
    sK384: int > int ).

thf(func_def_1524,type,
    sK385: produc9072475918466114483BT_nat > nat ).

thf(func_def_1525,type,
    sK386: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1526,type,
    sK387: ( real > $o ) > real ).

thf(func_def_1527,type,
    sK388: nat > nat > nat ).

thf(func_def_1528,type,
    sK389: set_int > int ).

thf(func_def_1529,type,
    sK390: int > nat ).

thf(func_def_1530,type,
    sK391: ( nat > real ) > nat ).

thf(func_def_1531,type,
    sK392: ( nat > real ) > nat ).

thf(func_def_1532,type,
    sK393: nat > ( nat > $o ) > nat ).

thf(func_def_1533,type,
    sK394: nat > ( nat > $o ) > nat ).

thf(func_def_1534,type,
    sK395: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1535,type,
    sK396: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1536,type,
    sK397: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1537,type,
    sK398: ( nat > $o ) > nat ).

thf(func_def_1538,type,
    sK399: nat > ( nat > real ) > real ).

thf(func_def_1539,type,
    sK400: nat > ( nat > real ) > nat ).

thf(func_def_1540,type,
    sK401: ( extended_enat > extended_enat > $o ) > set_Extended_enat > extended_enat ).

thf(func_def_1541,type,
    sK402: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1542,type,
    sK403: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1543,type,
    sK404: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1544,type,
    sK405: ( extended_enat > extended_enat > $o ) > extended_enat ).

thf(func_def_1545,type,
    sK406: vEBT_VEBT > $o ).

thf(func_def_1546,type,
    sK407: vEBT_VEBT > $o ).

thf(func_def_1547,type,
    sK408: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1548,type,
    sK409: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1549,type,
    sK410: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1550,type,
    sK411: vEBT_VEBT > nat ).

thf(func_def_1551,type,
    sK412: ( nat > $o ) > nat ).

thf(func_def_1552,type,
    sK413: ( nat > nat ) > nat ).

thf(func_def_1553,type,
    sK414: set_complex > set_complex ).

thf(func_def_1554,type,
    sK415: set_complex > complex ).

thf(func_def_1555,type,
    sK416: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1556,type,
    sK417: nat > ( nat > $o ) > nat ).

thf(func_def_1557,type,
    sK418: nat > ( nat > $o ) > nat ).

thf(func_def_1558,type,
    sK419: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_1559,type,
    sK420: extended_enat > extended_enat ).

thf(func_def_1560,type,
    sK421: set_nat > ( nat > int ) > nat ).

thf(func_def_1561,type,
    sK422: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1562,type,
    sK423: ( nat > real ) > nat ).

thf(func_def_1563,type,
    sK424: ( nat > real ) > nat ).

thf(func_def_1564,type,
    sK425: vEBT_VEBT > nat > $o ).

thf(func_def_1565,type,
    sK426: vEBT_VEBT > nat > $o ).

thf(func_def_1566,type,
    sK427: vEBT_VEBT > nat > nat ).

thf(func_def_1567,type,
    sK428: vEBT_VEBT > nat > nat ).

thf(func_def_1568,type,
    sK429: vEBT_VEBT > nat > nat ).

thf(func_def_1569,type,
    sK430: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1570,type,
    sK431: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1571,type,
    sK432: int > ( int > $o ) > int ).

thf(func_def_1572,type,
    sK433: int > ( int > $o ) > int ).

thf(func_def_1573,type,
    sK434: real > real > real ).

thf(func_def_1574,type,
    sK435: real > int ).

thf(func_def_1575,type,
    sK436: nat > int > ( nat > int ) > nat > int ).

thf(func_def_1576,type,
    sK437: set_real > set_real ).

thf(func_def_1577,type,
    sK438: set_real > real ).

thf(func_def_1578,type,
    sK439: int > int ).

thf(func_def_1579,type,
    sK440: nat > nat ).

thf(func_def_1580,type,
    sK441: ( extended_enat > $o ) > extended_enat ).

thf(func_def_1581,type,
    sK442: set_Extended_enat > extended_enat ).

thf(func_def_1582,type,
    sK443: real > set_real > real ).

thf(func_def_1583,type,
    sK444: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_1584,type,
    sK445: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_1585,type,
    sK446: ( set_complex > $o ) > set_complex ).

thf(func_def_1586,type,
    sK447: ( set_complex > $o ) > set_complex ).

thf(func_def_1587,type,
    sK448: ( set_complex > $o ) > complex ).

thf(func_def_1588,type,
    sK449: ( nat > extended_enat ) > nat ).

thf(func_def_1589,type,
    sK450: ( nat > extended_enat ) > nat ).

thf(func_def_1590,type,
    sK451: real > int ).

thf(func_def_1591,type,
    sK452: ( real > real ) > real ).

thf(func_def_1592,type,
    sK453: ( real > real ) > real ).

thf(func_def_1593,type,
    sK454: ( int > $o ) > int ).

thf(func_def_1594,type,
    sK455: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1595,type,
    sK456: set_real > real ).

thf(func_def_1596,type,
    sK457: real > real ).

thf(func_def_1597,type,
    sK458: ( int > extended_enat ) > int ).

thf(func_def_1598,type,
    sK459: ( int > extended_enat ) > int ).

thf(func_def_1599,type,
    sK460: nat > ( nat > $o ) > nat ).

thf(func_def_1600,type,
    sK461: nat > ( nat > $o ) > nat ).

thf(func_def_1601,type,
    sK462: ( nat > int ) > nat ).

thf(func_def_1602,type,
    sK463: ( nat > int ) > nat ).

thf(func_def_1603,type,
    sK464: ( real > nat ) > real ).

thf(func_def_1604,type,
    sK465: ( real > nat ) > real ).

thf(func_def_1605,type,
    sK466: ( extended_enat > nat ) > extended_enat ).

thf(func_def_1606,type,
    sK467: ( extended_enat > nat ) > extended_enat ).

thf(func_def_1607,type,
    sK468: nat > ( nat > $o ) > nat ).

thf(func_def_1608,type,
    sK469: nat > ( nat > $o ) > nat ).

thf(func_def_1609,type,
    sK470: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1610,type,
    sK471: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1611,type,
    sK472: ( int > nat ) > int ).

thf(func_def_1612,type,
    sK473: ( int > nat ) > int ).

thf(func_def_1613,type,
    sK474: ( real > nat ) > real ).

thf(func_def_1614,type,
    sK475: ( real > nat ) > real ).

thf(func_def_1615,type,
    sK476: ( real > real ) > real ).

thf(func_def_1616,type,
    sK477: ( real > real ) > real ).

thf(func_def_1617,type,
    sK478: ( int > real ) > int ).

thf(func_def_1618,type,
    sK479: ( int > real ) > int ).

thf(func_def_1619,type,
    sK480: real > real ).

thf(func_def_1620,type,
    sK481: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_1621,type,
    sK482: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_1622,type,
    sK483: extended_enat > extended_enat ).

thf(func_def_1623,type,
    sK484: ( nat > $o ) > nat > nat ).

thf(func_def_1624,type,
    sK485: ( nat > $o ) > nat > nat ).

thf(func_def_1625,type,
    sK486: nat > nat > nat ).

thf(func_def_1626,type,
    sK487: ( nat > $o ) > $o ).

thf(func_def_1627,type,
    sK488: ( nat > $o ) > nat ).

thf(func_def_1628,type,
    sK489: ( nat > $o ) > nat ).

thf(func_def_1629,type,
    sK490: real > real > real > real ).

thf(func_def_1630,type,
    sK491: ( nat > real ) > nat ).

thf(func_def_1631,type,
    sK492: ( nat > real ) > nat ).

thf(func_def_1632,type,
    sK493: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1633,type,
    sK494: set_int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1634,type,
    sK495: real > real ).

thf(func_def_1635,type,
    sK496: ( set_int > $o ) > set_int ).

thf(func_def_1636,type,
    sK497: ( set_int > $o ) > int ).

thf(func_def_1637,type,
    sK498: nat > ( nat > real ) > real ).

thf(func_def_1638,type,
    sK499: ( set_o > $o ) > ( $o > real ) > set_o ).

thf(func_def_1639,type,
    sK500: ( set_o > $o ) > ( $o > real ) > $o ).

thf(func_def_1640,type,
    sK501: nat > nat ).

thf(func_def_1641,type,
    sK502: nat > nat ).

thf(func_def_1642,type,
    sK503: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1643,type,
    sK504: ( set_int > $o ) > set_int > set_int ).

thf(func_def_1644,type,
    sK505: ( set_int > $o ) > set_int > int ).

thf(func_def_1645,type,
    sK506: ( set_o > $o ) > $o ).

thf(func_def_1646,type,
    sK507: ( set_o > $o ) > set_o ).

thf(func_def_1647,type,
    sK508: ( nat > extended_enat ) > nat ).

thf(func_def_1648,type,
    sK509: ( nat > extended_enat ) > nat ).

thf(func_def_1649,type,
    sK510: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_1650,type,
    sK511: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1651,type,
    sK512: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1652,type,
    sK513: ( real > $o ) > real > real > real ).

thf(func_def_1653,type,
    sK514: real > ( real > $o ) > real > real ).

thf(func_def_1654,type,
    sK515: vEBT_VEBT > $o ).

thf(func_def_1655,type,
    sK516: vEBT_VEBT > $o ).

thf(func_def_1656,type,
    sK517: ( set_real > $o ) > real ).

thf(func_def_1657,type,
    sK518: ( set_real > $o ) > set_real ).

thf(func_def_1658,type,
    sK519: set_nat > ( nat > nat ) > nat ).

thf(func_def_1659,type,
    sK520: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1660,type,
    sK521: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1661,type,
    sK522: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1662,type,
    sK523: set_nat > set_nat > nat ).

thf(func_def_1663,type,
    sK524: nat > nat > nat ).

thf(func_def_1664,type,
    sK525: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1665,type,
    sK526: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1666,type,
    sK527: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1667,type,
    sK528: vEBT_VEBT > nat > nat ).

thf(func_def_1668,type,
    sK529: vEBT_VEBT > nat > nat ).

thf(func_def_1669,type,
    sK530: vEBT_VEBT > nat > nat ).

thf(func_def_1670,type,
    sK531: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1671,type,
    sK532: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1672,type,
    sK533: nat > vEBT_VEBT > nat ).

thf(func_def_1673,type,
    sK534: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1674,type,
    sK535: nat > vEBT_VEBT > nat ).

thf(func_def_1675,type,
    sK536: nat > vEBT_VEBT > nat ).

thf(func_def_1676,type,
    sK537: nat > vEBT_VEBT > nat ).

thf(func_def_1677,type,
    sK538: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1678,type,
    sK539: nat > vEBT_VEBT > nat ).

thf(func_def_1679,type,
    sK540: nat > nat > vEBT_VEBT > nat ).

thf(func_def_1680,type,
    sK541: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1681,type,
    sK542: vEBT_VEBT > nat > nat ).

thf(func_def_1682,type,
    sK543: vEBT_VEBT > nat > nat ).

thf(func_def_1683,type,
    sK544: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1684,type,
    sK545: vEBT_VEBT > nat > nat ).

thf(func_def_1685,type,
    sK546: vEBT_VEBT > nat > nat ).

thf(func_def_1686,type,
    sK547: vEBT_VEBT > nat > nat ).

thf(func_def_1687,type,
    sK548: nat > vEBT_VEBT > nat > nat ).

thf(func_def_1688,type,
    sK549: vEBT_VEBT > $o ).

thf(func_def_1689,type,
    sK550: vEBT_VEBT > $o ).

thf(func_def_1690,type,
    sK551: vEBT_VEBT > nat > nat ).

thf(func_def_1691,type,
    sK552: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1692,type,
    sK553: vEBT_VEBT > nat > nat ).

thf(func_def_1693,type,
    sK554: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1694,type,
    sK555: vEBT_VEBT > nat > nat ).

thf(func_def_1695,type,
    sK556: nat > nat > nat ).

thf(func_def_1696,type,
    sK557: nat > nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1697,type,
    sK558: set_nat > ( nat > int ) > nat ).

thf(func_def_1698,type,
    sK559: set_nat > ( nat > int ) > int > int > nat ).

thf(func_def_1699,type,
    sK560: list_VEBT_VEBT > nat > nat > nat > nat > nat ).

thf(func_def_1700,type,
    sK561: list_VEBT_VEBT > nat > nat > nat > nat > nat ).

thf(func_def_1701,type,
    sK562: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1702,type,
    sK563: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1703,type,
    sK564: list_VEBT_VEBT > nat ).

thf(func_def_1704,type,
    sK565: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_1705,type,
    sK566: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_1706,type,
    sK567: ( int > extended_enat ) > int ).

thf(func_def_1707,type,
    sK568: ( int > extended_enat ) > int ).

thf(func_def_1708,type,
    sK569: ( nat > nat ) > nat ).

thf(func_def_1709,type,
    sK570: ( int > real ) > int ).

thf(func_def_1710,type,
    sK571: ( int > real ) > int ).

thf(func_def_1711,type,
    sK572: ( extended_enat > int ) > extended_enat ).

thf(func_def_1712,type,
    sK573: ( extended_enat > int ) > extended_enat ).

thf(func_def_1713,type,
    sK574: ( nat > $o ) > int > nat ).

thf(func_def_1714,type,
    sK575: ( nat > nat ) > nat ).

thf(func_def_1715,type,
    sK576: ( nat > nat ) > nat ).

thf(func_def_1716,type,
    sK577: ( nat > int ) > nat ).

thf(func_def_1717,type,
    sK578: set_int > ( int > $o ) > int ).

thf(func_def_1718,type,
    sK579: ( nat > nat ) > nat ).

thf(func_def_1719,type,
    sK580: ( nat > nat ) > nat ).

thf(func_def_1720,type,
    sK581: ( real > extended_enat ) > real ).

thf(func_def_1721,type,
    sK582: ( real > extended_enat ) > real ).

thf(func_def_1722,type,
    sK583: int > int > int ).

thf(func_def_1723,type,
    sK584: ( nat > real ) > nat ).

thf(func_def_1724,type,
    sK585: ( nat > real ) > nat ).

thf(func_def_1725,type,
    sK586: extended_enat > extended_enat ).

thf(func_def_1726,type,
    sK587: ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_1727,type,
    sK588: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_1728,type,
    sK589: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_1729,type,
    sK590: real > nat > real ).

thf(func_def_1730,type,
    sK591: ( int > real ) > int ).

thf(func_def_1731,type,
    sK592: ( int > real ) > int ).

thf(func_def_1732,type,
    sK593: int > nat ).

thf(func_def_1733,type,
    sK594: int > nat ).

thf(func_def_1734,type,
    sK595: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1735,type,
    sK596: real > real ).

thf(func_def_1736,type,
    sK597: real > real ).

thf(func_def_1737,type,
    sK598: ( real > real > $o ) > set_real > real ).

thf(func_def_1738,type,
    sK599: ( real > real > $o ) > real ).

thf(func_def_1739,type,
    sK600: ( real > real > $o ) > real ).

thf(func_def_1740,type,
    sK601: ( real > real > $o ) > real ).

thf(func_def_1741,type,
    sK602: ( real > real > $o ) > real ).

thf(func_def_1742,type,
    sK603: nat > nat ).

thf(func_def_1743,type,
    sK604: ( set_nat > $o ) > set_nat ).

thf(func_def_1744,type,
    sK605: ( set_nat > $o ) > set_nat ).

thf(func_def_1745,type,
    sK606: ( set_nat > $o ) > nat ).

thf(func_def_1746,type,
    sK607: int > int > int ).

thf(func_def_1747,type,
    sK608: ( real > real ) > real ).

thf(func_def_1748,type,
    sK609: ( real > real ) > real ).

thf(func_def_1749,type,
    sK610: nat > nat > nat ).

thf(func_def_1750,type,
    sK611: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1751,type,
    sK612: ( int > real ) > int ).

thf(func_def_1752,type,
    sK613: ( int > real ) > int ).

thf(func_def_1753,type,
    sK614: nat > nat > nat ).

thf(func_def_1754,type,
    sK615: int > int > int > int ).

thf(func_def_1755,type,
    sK616: ( real > extended_enat ) > real ).

thf(func_def_1756,type,
    sK617: ( real > extended_enat ) > real ).

thf(func_def_1757,type,
    sK618: ( set_real > $o ) > real ).

thf(func_def_1758,type,
    sK619: ( set_real > $o ) > set_real ).

thf(func_def_1759,type,
    sK620: ( set_real > $o ) > set_real ).

thf(func_def_1760,type,
    sK621: nat > nat ).

thf(func_def_1761,type,
    sK622: ( nat > $o ) > nat ).

thf(func_def_1762,type,
    sK623: ( set_real > $o ) > real ).

thf(func_def_1763,type,
    sK624: ( set_real > $o ) > set_real ).

thf(func_def_1764,type,
    sK625: vEBT_VEBT > nat > $o ).

thf(func_def_1765,type,
    sK626: vEBT_VEBT > nat > $o ).

thf(func_def_1766,type,
    sK627: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1767,type,
    sK628: nat > vEBT_VEBT > nat ).

thf(func_def_1768,type,
    sK629: nat > vEBT_VEBT > nat ).

thf(func_def_1769,type,
    sK630: nat > vEBT_VEBT > nat ).

thf(func_def_1770,type,
    sK631: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1771,type,
    sK632: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1772,type,
    sK633: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1773,type,
    sK634: vEBT_VEBT > nat ).

thf(func_def_1774,type,
    sK635: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1775,type,
    sK636: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1776,type,
    sK637: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1777,type,
    sK638: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1778,type,
    sK639: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1779,type,
    sK640: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1780,type,
    sK641: ( set_int > $o ) > set_int ).

thf(func_def_1781,type,
    sK642: ( set_int > $o ) > int ).

thf(func_def_1782,type,
    sK643: ( set_int > $o ) > set_int ).

thf(func_def_1783,type,
    sK644: vEBT_VEBT > $o ).

thf(func_def_1784,type,
    sK645: vEBT_VEBT > $o ).

thf(func_def_1785,type,
    sK646: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1786,type,
    sK647: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_1787,type,
    sK648: ( set_nat > $o ) > nat ).

thf(func_def_1788,type,
    sK649: ( set_nat > $o ) > set_nat ).

thf(func_def_1789,type,
    sK650: ( extended_enat > real ) > extended_enat ).

thf(func_def_1790,type,
    sK651: ( extended_enat > real ) > extended_enat ).

thf(func_def_1791,type,
    sK652: set_nat > nat ).

thf(func_def_1792,type,
    sK653: nat > set_nat > nat ).

thf(func_def_1793,type,
    sK654: ( int > int ) > int ).

thf(func_def_1794,type,
    sK655: ( int > int ) > int ).

thf(func_def_1795,type,
    sK656: nat > nat ).

thf(func_def_1796,type,
    sK657: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1797,type,
    sK658: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1798,type,
    sK659: int > int > int ).

thf(func_def_1799,type,
    sK660: product_prod_nat_nat > nat ).

thf(func_def_1800,type,
    sK661: product_prod_nat_nat > nat ).

thf(func_def_1801,type,
    sK662: real > real > real ).

thf(func_def_1802,type,
    sK663: ( set_o > $o ) > ( $o > nat ) > set_o ).

thf(func_def_1803,type,
    sK664: ( set_o > $o ) > ( $o > nat ) > $o ).

thf(func_def_1804,type,
    sK665: int > int ).

thf(func_def_1805,type,
    sK666: ( nat > real ) > nat ).

thf(func_def_1806,type,
    sK667: set_int > int ).

thf(func_def_1807,type,
    sK668: ( complex > complex > $o ) > complex ).

thf(func_def_1808,type,
    sK669: ( complex > complex > $o ) > complex ).

thf(func_def_1809,type,
    sK670: ( complex > complex > $o ) > complex ).

thf(func_def_1810,type,
    sK671: ( complex > complex > $o ) > complex ).

thf(func_def_1811,type,
    sK672: set_complex > ( complex > complex > $o ) > complex ).

thf(func_def_1812,type,
    sK673: ( real > int ) > real ).

thf(func_def_1813,type,
    sK674: ( real > int ) > real ).

thf(func_def_1814,type,
    sK675: ( set_o > $o ) > set_o ).

thf(func_def_1815,type,
    sK676: ( real > nat ) > real ).

thf(func_def_1816,type,
    sK677: ( real > nat ) > real ).

thf(func_def_1817,type,
    sK678: real > real > real ).

thf(func_def_1818,type,
    sK679: real > real > real ).

thf(func_def_1819,type,
    sK680: nat > nat > nat > list_VEBT_VEBT > nat > nat ).

thf(func_def_1820,type,
    sK681: nat > nat > nat > list_VEBT_VEBT > nat > nat ).

thf(func_def_1821,type,
    sK682: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1822,type,
    sK683: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1823,type,
    sK684: list_VEBT_VEBT > nat ).

thf(func_def_1824,type,
    sK685: list_VEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1825,type,
    sK686: list_VEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1826,type,
    sK687: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1827,type,
    sK688: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1828,type,
    sK689: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1829,type,
    sK690: ( nat > $o ) > nat ).

thf(func_def_1830,type,
    sK691: set_int > set_int ).

thf(func_def_1831,type,
    sK692: set_int > int ).

thf(func_def_1832,type,
    sK693: real > nat > real ).

thf(func_def_1833,type,
    sK694: set_nat > ( nat > int ) > nat ).

thf(func_def_1834,type,
    sK695: ( set_Extended_enat > $o ) > set_Extended_enat > set_Extended_enat ).

thf(func_def_1835,type,
    sK696: ( set_Extended_enat > $o ) > set_Extended_enat > extended_enat ).

thf(func_def_1836,type,
    sK697: ( int > $o ) > int > int > int ).

thf(func_def_1837,type,
    sK698: int > ( int > $o ) > int > int ).

thf(func_def_1838,type,
    sK699: set_int > int ).

thf(func_def_1839,type,
    sK700: ( set_o > $o ) > set_o > set_o ).

thf(func_def_1840,type,
    sK701: nat > nat > nat ).

thf(func_def_1841,type,
    sK702: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_1842,type,
    sK703: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_1843,type,
    sK704: set_complex > ( set_complex > $o ) > complex ).

thf(func_def_1844,type,
    sK705: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_1845,type,
    sK706: ( nat > nat ) > nat ).

thf(func_def_1846,type,
    sK707: ( nat > nat ) > nat ).

thf(func_def_1847,type,
    sK708: set_nat > ( nat > int ) > nat ).

thf(func_def_1848,type,
    sK709: ( nat > real ) > real > nat > nat > real ).

thf(func_def_1849,type,
    sK710: nat > ( nat > $o ) > nat ).

thf(func_def_1850,type,
    sK711: real > real ).

thf(func_def_1851,type,
    sK712: real > int ).

thf(func_def_1852,type,
    sK713: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1853,type,
    sK714: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1854,type,
    sK715: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1855,type,
    sK716: ( set_complex > $o ) > complex ).

thf(func_def_1856,type,
    sK717: ( set_complex > $o ) > set_complex ).

thf(func_def_1857,type,
    sK718: int > int ).

thf(func_def_1858,type,
    sK719: nat > nat > nat ).

thf(func_def_1859,type,
    sK720: ( nat > real ) > nat > nat ).

thf(func_def_1860,type,
    sK721: ( nat > real ) > nat > nat ).

thf(func_def_1861,type,
    sK722: ( nat > real ) > nat > nat ).

thf(func_def_1862,type,
    sK723: ( nat > real ) > nat > nat ).

thf(func_def_1863,type,
    sK724: nat > nat > nat > nat ).

thf(func_def_1864,type,
    sK725: nat > nat > nat > nat ).

thf(func_def_1865,type,
    sK726: vEBT_VEBT > nat ).

thf(func_def_1866,type,
    sK727: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1867,type,
    sK728: list_VEBT_VEBT > nat ).

thf(func_def_1868,type,
    sK729: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1869,type,
    sK730: ( nat > int ) > nat ).

thf(func_def_1870,type,
    sK731: ( extended_enat > real ) > extended_enat ).

thf(func_def_1871,type,
    sK732: ( extended_enat > real ) > extended_enat ).

thf(func_def_1872,type,
    sK733: ( nat > real ) > nat > real > real ).

thf(func_def_1873,type,
    sK734: ( nat > real ) > nat > nat ).

thf(func_def_1874,type,
    sK735: nat > nat > nat ).

thf(func_def_1875,type,
    sK736: real > nat ).

thf(func_def_1876,type,
    sK737: ( set_nat > $o ) > ( nat > real ) > set_nat ).

thf(func_def_1877,type,
    sK738: ( set_nat > $o ) > ( nat > real ) > nat ).

thf(func_def_1878,type,
    sK739: ( nat > real ) > nat ).

thf(func_def_1879,type,
    sK740: ( nat > real ) > nat ).

thf(func_def_1880,type,
    sK741: ( set_int > $o ) > set_int ).

thf(func_def_1881,type,
    sK742: ( set_int > $o ) > int ).

thf(func_def_1882,type,
    sK743: ( set_Extended_enat > $o ) > set_Extended_enat > set_Extended_enat ).

thf(func_def_1883,type,
    sK744: nat > nat ).

thf(func_def_1884,type,
    sK745: ( real > int ) > real ).

thf(func_def_1885,type,
    sK746: ( real > int ) > real ).

thf(func_def_1886,type,
    sK747: set_nat > ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_1887,type,
    sK748: ( nat > nat > $o ) > nat ).

thf(func_def_1888,type,
    sK749: ( nat > nat > $o ) > nat ).

thf(func_def_1889,type,
    sK750: ( nat > nat > $o ) > nat ).

thf(func_def_1890,type,
    sK751: ( nat > nat > $o ) > nat ).

thf(func_def_1891,type,
    sK752: set_real > set_real > real ).

thf(func_def_1892,type,
    sK753: int > nat ).

thf(func_def_1893,type,
    sK754: set_nat > ( nat > nat ) > nat ).

thf(func_def_1894,type,
    sK755: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1895,type,
    sK756: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1896,type,
    sK757: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1897,type,
    sK758: vEBT_VEBT > nat ).

thf(func_def_1898,type,
    sK759: vEBT_VEBT > $o ).

thf(func_def_1899,type,
    sK760: vEBT_VEBT > $o ).

thf(func_def_1900,type,
    sK761: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1901,type,
    sK762: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1902,type,
    sK763: vEBT_VEBT > nat ).

thf(func_def_1903,type,
    sK764: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1904,type,
    sK765: ( real > nat ) > real ).

thf(func_def_1905,type,
    sK766: ( real > nat ) > real ).

thf(func_def_1906,type,
    sK767: set_nat > nat ).

thf(func_def_1907,type,
    sK768: ( int > real ) > int ).

thf(func_def_1908,type,
    sK769: ( int > real ) > int ).

thf(func_def_1909,type,
    sK770: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_1910,type,
    sK771: set_int > ( int > int > $o ) > int ).

thf(func_def_1911,type,
    sK772: ( int > int > $o ) > int ).

thf(func_def_1912,type,
    sK773: ( int > int > $o ) > int ).

thf(func_def_1913,type,
    sK774: ( int > int > $o ) > int ).

thf(func_def_1914,type,
    sK775: ( int > int > $o ) > int ).

thf(func_def_1915,type,
    sK776: nat > list_VEBT_VEBT ).

thf(func_def_1916,type,
    sK777: nat > nat > nat ).

thf(func_def_1917,type,
    sK778: nat > nat > nat ).

thf(func_def_1918,type,
    sK779: nat > nat > nat ).

thf(func_def_1919,type,
    sK780: nat > ( nat > int ) > nat ).

thf(func_def_1920,type,
    sK781: nat > ( nat > int ) > nat ).

thf(func_def_1921,type,
    sK782: ( nat > int ) > nat > nat ).

thf(func_def_1922,type,
    sK783: ( nat > int ) > nat > nat ).

thf(func_def_1923,type,
    sK784: int > nat ).

thf(func_def_1924,type,
    sK785: ( real > extended_enat ) > real ).

thf(func_def_1925,type,
    sK786: ( real > extended_enat ) > real ).

thf(func_def_1926,type,
    sK787: ( nat > int ) > nat ).

thf(func_def_1927,type,
    sK788: produc9072475918466114483BT_nat > nat ).

thf(func_def_1928,type,
    sK789: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1929,type,
    sK790: set_o > $o ).

thf(func_def_1930,type,
    sK791: ( real > extended_enat ) > real ).

thf(func_def_1931,type,
    sK792: ( real > extended_enat ) > real ).

thf(func_def_1932,type,
    sK793: int > nat ).

thf(func_def_1933,type,
    sK794: real > nat ).

thf(func_def_1934,type,
    sK795: real > real ).

thf(func_def_1935,type,
    sK796: extended_enat > extended_enat > extended_enat ).

thf(func_def_1936,type,
    sK797: ( int > int ) > int ).

thf(func_def_1937,type,
    sK798: ( int > int ) > int ).

thf(func_def_1938,type,
    sK799: nat > nat > nat ).

thf(func_def_1939,type,
    sK800: set_o > $o ).

thf(func_def_1940,type,
    sK801: ( int > nat ) > int ).

thf(func_def_1941,type,
    sK802: ( int > nat ) > int ).

thf(func_def_1942,type,
    sK803: ( nat > nat > $o ) > nat ).

thf(func_def_1943,type,
    sK804: ( nat > nat > $o ) > nat ).

thf(func_def_1944,type,
    sK805: ( nat > nat > $o ) > nat ).

thf(func_def_1945,type,
    sK806: ( nat > nat > $o ) > nat ).

thf(func_def_1946,type,
    sK807: ( nat > nat > $o ) > nat ).

thf(func_def_1947,type,
    sK808: nat > nat ).

thf(func_def_1948,type,
    sK809: ( nat > $o ) > nat > nat ).

thf(func_def_1949,type,
    sK810: ( nat > $o ) > nat > nat ).

thf(func_def_1950,type,
    sK811: ( extended_enat > real ) > extended_enat ).

thf(func_def_1951,type,
    sK812: ( extended_enat > real ) > extended_enat ).

thf(func_def_1952,type,
    sK813: set_real > real ).

thf(func_def_1953,type,
    sK814: nat > nat ).

thf(func_def_1954,type,
    sK815: ( nat > real ) > nat ).

thf(func_def_1955,type,
    sK816: ( real > int ) > real ).

thf(func_def_1956,type,
    sK817: ( real > int ) > real ).

thf(func_def_1957,type,
    sK818: ( nat > real ) > nat ).

thf(func_def_1958,type,
    sK819: ( nat > real ) > nat ).

thf(func_def_1959,type,
    sK820: ( set_complex > $o ) > complex ).

thf(func_def_1960,type,
    sK821: ( set_complex > $o ) > set_complex ).

thf(func_def_1961,type,
    sK822: int > int ).

thf(func_def_1962,type,
    sK823: ( nat > nat ) > nat > nat > nat ).

thf(func_def_1963,type,
    sK824: nat > nat ).

thf(func_def_1964,type,
    sK825: real > real ).

thf(func_def_1965,type,
    sK826: ( int > real ) > ( set_int > $o ) > int ).

thf(func_def_1966,type,
    sK827: ( int > real ) > ( set_int > $o ) > set_int ).

thf(func_def_1967,type,
    sK828: ( int > $o ) > int ).

thf(func_def_1968,type,
    sK829: extended_enat > set_Extended_enat > extended_enat ).

thf(func_def_1969,type,
    sK830: set_int > set_int > int ).

thf(func_def_1970,type,
    sK831: ( nat > extended_enat ) > nat ).

thf(func_def_1971,type,
    sK832: ( nat > extended_enat ) > nat ).

thf(func_def_1972,type,
    sK833: set_nat > nat ).

thf(func_def_1973,type,
    sK834: produc9072475918466114483BT_nat > nat ).

thf(func_def_1974,type,
    sK835: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1975,type,
    sK836: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1976,type,
    sK837: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_1977,type,
    sK838: produc9072475918466114483BT_nat > nat ).

thf(func_def_1978,type,
    sK839: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1979,type,
    sK840: produc9072475918466114483BT_nat > nat ).

thf(func_def_1980,type,
    sK841: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1981,type,
    sK842: produc9072475918466114483BT_nat > nat ).

thf(func_def_1982,type,
    sK843: produc9072475918466114483BT_nat > nat ).

thf(func_def_1983,type,
    sK844: produc9072475918466114483BT_nat > nat ).

thf(func_def_1984,type,
    sK845: produc9072475918466114483BT_nat > $o ).

thf(func_def_1985,type,
    sK846: produc9072475918466114483BT_nat > $o ).

thf(func_def_1986,type,
    sK847: produc9072475918466114483BT_nat > nat ).

thf(func_def_1987,type,
    sK848: produc9072475918466114483BT_nat > nat ).

thf(func_def_1988,type,
    sK849: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1989,type,
    sK850: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1990,type,
    sK851: produc9072475918466114483BT_nat > nat ).

thf(func_def_1991,type,
    sK852: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1992,type,
    sK853: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1993,type,
    sK854: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_1994,type,
    sK855: nat > ( nat > int ) > int > nat ).

thf(func_def_1995,type,
    sK856: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1996,type,
    sK857: set_nat > ( nat > real ) > nat ).

thf(func_def_1997,type,
    sK858: ( set_int > $o ) > set_int ).

thf(func_def_1998,type,
    sK859: ( set_int > $o ) > int ).

thf(func_def_1999,type,
    sK860: ( set_int > $o ) > int ).

thf(func_def_2000,type,
    sK861: real > real > nat ).

thf(func_def_2001,type,
    sK862: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2002,type,
    sK863: ( nat > nat ) > nat ).

thf(func_def_2003,type,
    sK864: ( nat > nat ) > nat ).

thf(func_def_2004,type,
    sK865: ( nat > real ) > nat > nat ).

thf(func_def_2005,type,
    sK866: ( nat > real ) > nat > nat ).

thf(func_def_2006,type,
    sK867: real > set_real > real ).

thf(func_def_2007,type,
    sK868: real > real > real ).

thf(func_def_2008,type,
    sK869: set_int > int ).

thf(func_def_2009,type,
    sK870: extended_enat > extended_enat ).

thf(func_def_2010,type,
    sK871: ( real > real ) > real ).

thf(func_def_2011,type,
    sK872: ( real > real ) > real ).

thf(func_def_2012,type,
    sK873: int > nat ).

thf(func_def_2013,type,
    sK874: nat > nat ).

thf(func_def_2014,type,
    sK875: extended_enat > extended_enat > extended_enat ).

thf(func_def_2015,type,
    sK876: int > nat ).

thf(func_def_2016,type,
    sK877: int > nat ).

thf(func_def_2017,type,
    sK878: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_2018,type,
    sK879: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_2019,type,
    sK880: ( extended_enat > int ) > extended_enat ).

thf(func_def_2020,type,
    sK881: ( extended_enat > int ) > extended_enat ).

thf(func_def_2021,type,
    sK882: ( real > extended_enat ) > real ).

thf(func_def_2022,type,
    sK883: ( real > extended_enat ) > real ).

thf(func_def_2023,type,
    sK884: ( real > real ) > ( set_real > $o ) > real ).

thf(func_def_2024,type,
    sK885: ( real > real ) > ( set_real > $o ) > set_real ).

thf(func_def_2025,type,
    sK886: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_2026,type,
    sK887: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_2027,type,
    sK888: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_2028,type,
    sK889: ( real > $o ) > nat ).

thf(func_def_2029,type,
    sK890: ( real > $o ) > real ).

thf(func_def_2030,type,
    sK891: ( real > $o ) > real ).

thf(func_def_2031,type,
    sK892: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_2032,type,
    sK893: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_2033,type,
    sK894: ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_2034,type,
    sK895: set_real > real ).

thf(func_def_2035,type,
    sK896: nat > ( nat > $o ) > nat ).

thf(func_def_2036,type,
    sK897: ( nat > $o ) > nat ).

thf(func_def_2037,type,
    sK898: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2038,type,
    sK899: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2039,type,
    sK900: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2040,type,
    sK901: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_2041,type,
    sK902: ( nat > int ) > set_nat > nat ).

thf(func_def_2042,type,
    sK903: nat > nat > nat ).

thf(func_def_2043,type,
    sK904: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2044,type,
    sK905: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2045,type,
    sK906: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2046,type,
    sK907: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_2047,type,
    sK908: ( nat > int ) > nat ).

thf(func_def_2048,type,
    sK909: nat > nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_2049,type,
    sK910: real > real > real ).

thf(func_def_2050,type,
    sK911: set_real > real ).

thf(func_def_2051,type,
    sK912: real > real ).

thf(func_def_2052,type,
    sK913: ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_2053,type,
    sK914: ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_2054,type,
    sK915: ( real > extended_enat ) > real ).

thf(func_def_2055,type,
    sK916: ( real > extended_enat ) > real ).

thf(func_def_2056,type,
    sK917: set_real > ( real > $o ) > real ).

thf(func_def_2057,type,
    sK918: nat > nat ).

thf(func_def_2058,type,
    sK919: ( set_complex > $o ) > set_complex ).

thf(func_def_2059,type,
    sK920: ( set_complex > $o ) > complex ).

thf(func_def_2060,type,
    sK921: ( set_complex > $o ) > complex ).

thf(func_def_2061,type,
    sK922: ( real > $o ) > real ).

thf(func_def_2062,type,
    sK923: ( real > $o ) > real ).

thf(func_def_2063,type,
    sK924: ( real > $o ) > nat ).

thf(func_def_2064,type,
    sK925: extended_enat > extended_enat ).

thf(func_def_2065,type,
    sK926: extended_enat > extended_enat ).

thf(func_def_2066,type,
    sK927: real > real ).

thf(func_def_2067,type,
    sK928: real > real ).

thf(func_def_2068,type,
    sK929: ( real > int ) > real ).

thf(func_def_2069,type,
    sK930: ( real > int ) > real ).

thf(func_def_2070,type,
    sK931: ( int > $o ) > nat ).

thf(func_def_2071,type,
    sK932: ( int > $o ) > nat ).

thf(func_def_2072,type,
    sK933: ( nat > real ) > nat ).

thf(func_def_2073,type,
    sK934: ( nat > real ) > nat ).

thf(func_def_2074,type,
    sK935: ( int > $o ) > int > int ).

thf(func_def_2075,type,
    sK936: real > real > real > real ).

thf(func_def_2076,type,
    sK937: ( extended_enat > nat ) > extended_enat ).

thf(func_def_2077,type,
    sK938: ( extended_enat > nat ) > extended_enat ).

thf(func_def_2078,type,
    sK939: ( nat > real ) > set_nat > nat ).

thf(func_def_2079,type,
    sK940: set_nat > real > real > ( nat > real ) > nat ).

thf(func_def_2080,type,
    sK941: set_nat > nat > nat ).

thf(func_def_2081,type,
    sK942: ( real > extended_enat ) > real ).

thf(func_def_2082,type,
    sK943: ( real > extended_enat ) > real ).

thf(func_def_2083,type,
    sK944: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2084,type,
    sK945: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2085,type,
    sK946: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2086,type,
    sK947: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2087,type,
    sK948: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2088,type,
    sK949: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2089,type,
    sK950: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2090,type,
    sK951: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2091,type,
    sK952: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2092,type,
    sK953: vEBT_VEBT > nat ).

thf(func_def_2093,type,
    sK954: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2094,type,
    sK955: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2095,type,
    sK956: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2096,type,
    sK957: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2097,type,
    sK958: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2098,type,
    sK959: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2099,type,
    sK960: nat > nat ).

thf(func_def_2100,type,
    sK961: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2101,type,
    sK962: vEBT_VEBT > nat ).

thf(func_def_2102,type,
    sK963: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2103,type,
    sK964: ( extended_enat > nat ) > ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_2104,type,
    sK965: ( extended_enat > nat ) > ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_2105,type,
    sK966: set_nat > nat ).

thf(func_def_2106,type,
    sK967: int > nat ).

thf(func_def_2107,type,
    sK968: int > nat ).

thf(func_def_2108,type,
    sK969: nat > ( nat > int ) > int > nat ).

thf(func_def_2109,type,
    sK970: nat > ( nat > int ) > nat ).

thf(func_def_2110,type,
    sK971: ( int > extended_enat ) > int ).

thf(func_def_2111,type,
    sK972: ( int > extended_enat ) > int ).

thf(func_def_2112,type,
    sK973: set_real > real ).

thf(func_def_2113,type,
    sK974: ( int > nat ) > int ).

thf(func_def_2114,type,
    sK975: ( int > nat ) > int ).

thf(func_def_2115,type,
    sK976: real > nat ).

thf(func_def_2116,type,
    sK977: ( nat > int ) > nat ).

thf(func_def_2117,type,
    sK978: ( nat > int ) > nat ).

thf(func_def_2118,type,
    sK979: nat > nat > nat ).

thf(func_def_2119,type,
    sK980: nat > nat > nat ).

thf(func_def_2120,type,
    sK981: nat > nat > nat ).

thf(func_def_2121,type,
    sK982: real > int ).

thf(func_def_2122,type,
    sK983: ( nat > nat > $o ) > nat ).

thf(func_def_2123,type,
    sK984: ( nat > nat > $o ) > nat ).

thf(func_def_2124,type,
    sK985: ( nat > nat > $o ) > nat ).

thf(func_def_2125,type,
    sK986: ( nat > nat > $o ) > nat ).

thf(func_def_2126,type,
    sK987: ( nat > int ) > nat > nat ).

thf(func_def_2127,type,
    sK988: nat > ( nat > int ) > nat ).

thf(func_def_2128,type,
    sK989: nat > nat ).

thf(func_def_2129,type,
    sK990: ( int > real ) > int ).

thf(func_def_2130,type,
    sK991: ( int > real ) > int ).

thf(func_def_2131,type,
    sK992: ( nat > extended_enat ) > nat ).

thf(func_def_2132,type,
    sK993: ( nat > extended_enat ) > nat ).

thf(func_def_2133,type,
    sK994: ( nat > int ) > nat ).

thf(func_def_2134,type,
    sK995: ( nat > int ) > nat ).

thf(func_def_2135,type,
    sK996: ( nat > nat ) > nat > nat ).

thf(func_def_2136,type,
    sK997: ( nat > nat ) > nat > nat ).

thf(func_def_2137,type,
    sK998: ( nat > nat ) > nat > nat ).

thf(func_def_2138,type,
    sK999: ( nat > nat ) > nat > nat ).

thf(func_def_2139,type,
    sK1000: ( real > nat ) > ( set_real > $o ) > real ).

thf(func_def_2140,type,
    sK1001: ( real > nat ) > ( set_real > $o ) > set_real ).

thf(func_def_2141,type,
    sK1002: ( nat > real ) > nat ).

thf(func_def_2142,type,
    sK1003: ( nat > real ) > nat ).

thf(func_def_2143,type,
    sK1004: real > real ).

thf(func_def_2144,type,
    sK1005: ( real > nat ) > real ).

thf(func_def_2145,type,
    sK1006: ( real > nat ) > real ).

thf(func_def_2146,type,
    sK1007: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).

thf(func_def_2147,type,
    sK1008: real > nat ).

thf(func_def_2148,type,
    sK1009: ( real > $o ) > real > real ).

thf(func_def_2149,type,
    sK1010: ( real > $o ) > real > real ).

thf(func_def_2150,type,
    sK1011: ( complex > nat ) > ( set_complex > $o ) > complex ).

thf(func_def_2151,type,
    sK1012: ( complex > nat ) > ( set_complex > $o ) > set_complex ).

thf(func_def_2152,type,
    sK1013: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2153,type,
    sK1014: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2154,type,
    sK1015: ( nat > extended_enat ) > nat ).

thf(func_def_2155,type,
    sK1016: ( nat > extended_enat ) > nat ).

thf(func_def_2156,type,
    sK1017: int > int ).

thf(func_def_2157,type,
    sK1018: ( extended_enat > nat ) > extended_enat ).

thf(func_def_2158,type,
    sK1019: ( extended_enat > nat ) > extended_enat ).

thf(func_def_2159,type,
    sK1020: produc9072475918466114483BT_nat > nat ).

thf(func_def_2160,type,
    sK1021: produc9072475918466114483BT_nat > nat ).

thf(func_def_2161,type,
    sK1022: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2162,type,
    sK1023: produc9072475918466114483BT_nat > nat ).

thf(func_def_2163,type,
    sK1024: produc9072475918466114483BT_nat > nat ).

thf(func_def_2164,type,
    sK1025: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2165,type,
    sK1026: produc9072475918466114483BT_nat > nat ).

thf(func_def_2166,type,
    sK1027: produc9072475918466114483BT_nat > nat ).

thf(func_def_2167,type,
    sK1028: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2168,type,
    sK1029: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2169,type,
    sK1030: produc9072475918466114483BT_nat > nat ).

thf(func_def_2170,type,
    sK1031: produc9072475918466114483BT_nat > $o ).

thf(func_def_2171,type,
    sK1032: produc9072475918466114483BT_nat > $o ).

thf(func_def_2172,type,
    sK1033: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2173,type,
    sK1034: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2174,type,
    sK1035: produc9072475918466114483BT_nat > nat ).

thf(func_def_2175,type,
    sK1036: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2176,type,
    sK1037: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2177,type,
    sK1038: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2178,type,
    sK1039: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2179,type,
    sK1040: produc9072475918466114483BT_nat > nat ).

thf(func_def_2180,type,
    sK1041: ( nat > nat ) > nat ).

thf(func_def_2181,type,
    sK1042: ( nat > nat ) > nat ).

thf(func_def_2182,type,
    sK1043: ( real > real > $o ) > real ).

thf(func_def_2183,type,
    sK1044: ( real > real > $o ) > real ).

thf(func_def_2184,type,
    sK1045: ( real > real > $o ) > real ).

thf(func_def_2185,type,
    sK1046: ( real > real > $o ) > real ).

thf(func_def_2186,type,
    sK1047: ( real > real > $o ) > real ).

thf(func_def_2187,type,
    sK1048: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2188,type,
    sK1049: ( set_real > $o ) > set_real > real ).

thf(func_def_2189,type,
    sK1050: extended_enat > extended_enat ).

thf(func_def_2190,type,
    sK1051: set_Extended_enat > extended_enat ).

thf(func_def_2191,type,
    sK1052: ( int > $o ) > int ).

thf(func_def_2192,type,
    sK1053: ( int > $o ) > $o ).

thf(func_def_2193,type,
    sK1054: ( int > $o ) > int ).

thf(func_def_2194,type,
    sK1055: ( nat > real ) > nat ).

thf(func_def_2195,type,
    sK1056: ( nat > real ) > nat ).

thf(func_def_2196,type,
    sK1057: ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_2197,type,
    sK1058: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_2198,type,
    sK1059: extended_enat > ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).

thf(func_def_2199,type,
    sK1060: nat > nat > nat ).

thf(func_def_2200,type,
    sK1061: vEBT_VEBT > $o ).

thf(func_def_2201,type,
    sK1062: vEBT_VEBT > $o ).

thf(func_def_2202,type,
    sK1063: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2203,type,
    sK1064: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2204,type,
    sK1065: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2205,type,
    sK1066: vEBT_VEBT > nat ).

thf(func_def_2206,type,
    sK1067: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2207,type,
    sK1068: vEBT_VEBT > nat ).

thf(func_def_2208,type,
    sK1069: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2209,type,
    sK1070: ( int > int ) > int ).

thf(func_def_2210,type,
    sK1071: ( int > int ) > int ).

thf(func_def_2211,type,
    sK1072: ( real > real ) > real ).

thf(func_def_2212,type,
    sK1073: ( real > real ) > real ).

thf(func_def_2213,type,
    sK1074: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_2214,type,
    sK1075: ( extended_enat > extended_enat ) > extended_enat ).

thf(func_def_2215,type,
    sK1076: nat > nat ).

thf(func_def_2216,type,
    sK1077: ( nat > real ) > nat > real > nat ).

thf(func_def_2217,type,
    sK1078: ( complex > real ) > ( set_complex > $o ) > set_complex ).

thf(func_def_2218,type,
    sK1079: ( complex > real ) > ( set_complex > $o ) > complex ).

thf(func_def_2219,type,
    sK1080: nat > nat > nat ).

thf(func_def_2220,type,
    sK1081: set_real > real ).

thf(func_def_2221,type,
    sK1082: ( nat > set_nat ) > nat ).

thf(func_def_2222,type,
    sK1083: set_nat > nat ).

thf(func_def_2223,type,
    sK1084: ( real > real ) > real ).

thf(func_def_2224,type,
    sK1085: ( real > real ) > real ).

thf(func_def_2225,type,
    sK1086: set_nat > nat ).

thf(func_def_2226,type,
    sK1087: nat > set_nat > nat ).

thf(func_def_2227,type,
    sK1088: int > int ).

thf(func_def_2228,type,
    sK1089: set_nat > nat ).

thf(func_def_2229,type,
    sK1090: ( nat > $o ) > nat > nat ).

thf(func_def_2230,type,
    sK1091: real > real > real ).

thf(func_def_2231,type,
    sK1092: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_2232,type,
    sK1093: nat > ( nat > vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_2233,type,
    sK1094: list_VEBT_VEBT > ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_2234,type,
    sK1095: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).

thf(func_def_2235,type,
    sK1096: ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_2236,type,
    sK1097: extended_enat > extended_enat ).

thf(func_def_2237,type,
    sK1098: set_Extended_enat > extended_enat ).

thf(func_def_2238,type,
    sK1099: ( nat > nat ) > nat ).

thf(func_def_2239,type,
    sK1100: ( int > int ) > int ).

thf(func_def_2240,type,
    sK1101: ( int > int ) > int ).

thf(func_def_2241,type,
    sK1102: set_o > $o ).

thf(func_def_2242,type,
    sK1103: nat > ( nat > $o ) > nat ).

thf(func_def_2243,type,
    sK1104: nat > ( nat > $o ) > nat ).

thf(func_def_2244,type,
    sK1105: ( nat > real ) > nat ).

thf(func_def_2245,type,
    sK1106: ( nat > real ) > nat ).

thf(func_def_2246,type,
    sK1107: ( nat > $o ) > nat > nat ).

thf(func_def_2247,type,
    sK1108: real > real > real ).

thf(func_def_2248,type,
    sK1109: ( extended_enat > int ) > extended_enat ).

thf(func_def_2249,type,
    sK1110: ( extended_enat > int ) > extended_enat ).

thf(func_def_2250,type,
    sK1111: ( real > $o ) > set_real > ( real > $o ) > real ).

thf(func_def_2251,type,
    sK1112: nat > nat ).

thf(func_def_2252,type,
    sK1113: nat > nat > int > ( nat > int ) > nat ).

thf(func_def_2253,type,
    sK1114: nat > nat > ( nat > int ) > nat ).

thf(func_def_2254,type,
    sK1115: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_2255,type,
    sK1116: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2256,type,
    sK1117: ( nat > $o ) > nat ).

thf(func_def_2257,type,
    sK1118: ( nat > real ) > nat ).

thf(func_def_2258,type,
    sK1119: ( nat > real ) > nat ).

thf(func_def_2259,type,
    sK1120: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2260,type,
    sK1121: ( int > real ) > int ).

thf(func_def_2261,type,
    sK1122: ( int > real ) > int ).

thf(func_def_2262,type,
    sK1123: ( int > extended_enat ) > int ).

thf(func_def_2263,type,
    sK1124: ( int > extended_enat ) > int ).

thf(func_def_2264,type,
    sK1125: ( nat > int ) > ( int > int > $o ) > ( nat > int ) > set_nat > nat ).

thf(func_def_2265,type,
    sK1126: ( int > int > $o ) > int ).

thf(func_def_2266,type,
    sK1127: ( int > int > $o ) > int ).

thf(func_def_2267,type,
    sK1128: ( int > int > $o ) > int ).

thf(func_def_2268,type,
    sK1129: ( int > int > $o ) > int ).

thf(func_def_2269,type,
    sK1130: real > nat > real ).

thf(func_def_2270,type,
    sK1131: ( nat > $o ) > nat ).

thf(func_def_2271,type,
    sK1132: ( nat > $o ) > nat ).

thf(func_def_2272,type,
    sK1133: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2273,type,
    sK1134: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2274,type,
    sK1135: real > real ).

thf(func_def_2275,type,
    sK1136: extended_enat > extended_enat ).

thf(func_def_2276,type,
    sK1137: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2277,type,
    sK1138: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2278,type,
    sK1139: produc9072475918466114483BT_nat > nat ).

thf(func_def_2279,type,
    sK1140: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2280,type,
    sK1141: produc9072475918466114483BT_nat > nat ).

thf(func_def_2281,type,
    sK1142: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2282,type,
    sK1143: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2283,type,
    sK1144: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2284,type,
    sK1145: produc9072475918466114483BT_nat > nat ).

thf(func_def_2285,type,
    sK1146: produc9072475918466114483BT_nat > $o ).

thf(func_def_2286,type,
    sK1147: produc9072475918466114483BT_nat > nat ).

thf(func_def_2287,type,
    sK1148: produc9072475918466114483BT_nat > $o ).

thf(func_def_2288,type,
    sK1149: set_o > set_o > $o ).

thf(func_def_2289,type,
    sK1150: nat > ( nat > nat ) > nat ).

thf(func_def_2290,type,
    sK1151: nat > ( nat > nat ) > nat ).

thf(func_def_2291,type,
    sK1152: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2292,type,
    sK1153: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2293,type,
    sK1154: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2294,type,
    sK1155: set_Extended_enat > ( set_Extended_enat > $o ) > set_Extended_enat ).

thf(func_def_2295,type,
    sK1156: set_Extended_enat > ( set_Extended_enat > $o ) > extended_enat ).

thf(func_def_2296,type,
    sK1157: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2297,type,
    sK1158: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2298,type,
    sK1159: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2299,type,
    sK1160: ( int > int > $o ) > int ).

thf(func_def_2300,type,
    sK1161: ( nat > $o ) > nat ).

thf(func_def_2301,type,
    sK1162: real > nat ).

thf(func_def_2302,type,
    sK1163: set_o > ( set_o > $o ) > set_o ).

thf(func_def_2303,type,
    sK1164: set_o > ( set_o > $o ) > $o ).

thf(func_def_2304,type,
    sK1165: int > int > int ).

thf(func_def_2305,type,
    sK1166: real > real ).

thf(func_def_2306,type,
    sK1167: int > int > int ).

thf(func_def_2307,type,
    sK1168: ( extended_enat > nat ) > extended_enat ).

thf(func_def_2308,type,
    sK1169: ( extended_enat > nat ) > extended_enat ).

thf(func_def_2309,type,
    sK1170: set_nat > ( nat > $o ) > nat ).

thf(func_def_2310,type,
    sK1171: ( nat > nat ) > nat ).

thf(func_def_2311,type,
    sK1172: ( nat > nat ) > nat ).

thf(func_def_2312,type,
    sK1173: ( nat > nat > $o ) > nat ).

thf(func_def_2313,type,
    sK1174: ( nat > nat > $o ) > nat ).

thf(func_def_2314,type,
    sK1175: ( nat > nat > $o ) > nat ).

thf(func_def_2315,type,
    sK1176: ( nat > nat > $o ) > nat ).

thf(func_def_2316,type,
    sK1177: ( nat > nat > $o ) > set_nat > nat ).

thf(func_def_2317,type,
    sK1178: nat > nat > nat ).

thf(func_def_2318,type,
    sK1179: set_Extended_enat > extended_enat ).

thf(func_def_2319,type,
    sK1180: ( int > $o ) > int > int ).

thf(func_def_2320,type,
    sK1181: ( int > $o ) > int > int ).

thf(func_def_2321,type,
    sK1182: nat > int > ( nat > int ) > nat > int ).

thf(func_def_2322,type,
    sK1183: ( nat > $o ) > nat ).

thf(func_def_2323,type,
    sK1184: real > int ).

thf(func_def_2324,type,
    sK1185: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_2325,type,
    sK1186: set_int > int ).

thf(f1,axiom,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).

thf(f2,axiom,
    vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C166_C) ).

thf(f4,axiom,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__C164_C) ).

thf(f9118,conjecture,
    ? [X0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f9119,negated_conjecture,
    ~ ? [X0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 ),
    inference(negated_conjecture,[status(cth)],[f9118]) ).

thf(f9262,plain,
    vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ),
    inference(rectify,[],[f2]) ).

thf(f9263,plain,
    ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
    = $true ),
    inference(fool_elimination,[],[f9262]) ).

thf(f10719,plain,
    ( ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
    = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f16631,plain,
    ~ ? [X0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 ),
    inference(rectify,[],[f9119]) ).

thf(f16632,plain,
    ~ ? [X0: nat] :
        ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 )
        = $true ),
    inference(fool_elimination,[],[f16631]) ).

thf(f25031,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f27874,plain,
    ! [X0: nat] :
      ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 )
     != $true ),
    inference(ennf_transformation,[],[f16632]) ).

thf(f35733,plain,
    ( ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
    = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) ),
    inference(cnf_transformation,[],[f10719]) ).

thf(f36750,plain,
    ! [X0: nat] :
      ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f27874]) ).

thf(f39225,plain,
    ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
    = $true ),
    inference(cnf_transformation,[],[f9263]) ).

thf(f39487,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf_transformation,[],[f25031]) ).

thf(f42436,definition,
    ( spl1187_128
  <=> ( ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) ) ),
    introduced(definition,[new_symbols(definition,[spl1187_128])],[avatar_definition]) ).

thf(f42438,plain,
    ( ( ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) )
    | ~ spl1187_128 ),
    inference(avatar_component_clause,[],[f42436]) ).

thf(f42439,plain,
    spl1187_128,
    inference(avatar_split_clause,[],[f35733,f42436]) ).

thf(f43159,definition,
    ( spl1187_273
  <=> ( i
      = ( vEBT_VEBT_high @ xa @ na ) ) ),
    introduced(definition,[new_symbols(definition,[spl1187_273])],[avatar_definition]) ).

thf(f43161,plain,
    ( ( i
      = ( vEBT_VEBT_high @ xa @ na ) )
    | ~ spl1187_273 ),
    inference(avatar_component_clause,[],[f43159]) ).

thf(f43162,plain,
    spl1187_273,
    inference(avatar_split_clause,[],[f39487,f43159]) ).

thf(f43473,definition,
    ( spl1187_336
  <=> ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1187_336])],[avatar_definition]) ).

thf(f43475,plain,
    ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = $true )
    | ~ spl1187_336 ),
    inference(avatar_component_clause,[],[f43473]) ).

thf(f43476,plain,
    spl1187_336,
    inference(avatar_split_clause,[],[f39225,f43473]) ).

thf(f43636,plain,
    ( ! [X0: nat] :
        ( $true
       != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 ) )
    | ~ spl1187_273 ),
    inference(superposition,[],[f36750,f43161]) ).

thf(f43675,plain,
    ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = $true )
    | ~ spl1187_273
    | ~ spl1187_336 ),
    inference(forward_demodulation,[],[f43475,f43161]) ).

thf(f43677,definition,
    ( spl1187_370
  <=> ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1187_370])],[avatar_definition]) ).

thf(f43679,plain,
    ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) )
      = $true )
    | ~ spl1187_370 ),
    inference(avatar_component_clause,[],[f43677]) ).

thf(f43680,plain,
    ( spl1187_370
    | ~ spl1187_273
    | ~ spl1187_336 ),
    inference(avatar_split_clause,[],[f43675,f43473,f43159,f43677]) ).

thf(f43828,plain,
    ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
      = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) )
    | ~ spl1187_128
    | ~ spl1187_273 ),
    inference(forward_demodulation,[],[f42438,f43161]) ).

thf(f43830,definition,
    ( spl1187_382
  <=> ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
      = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1187_382])],[avatar_definition]) ).

thf(f43832,plain,
    ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
      = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) )
    | ~ spl1187_382 ),
    inference(avatar_component_clause,[],[f43830]) ).

thf(f43833,plain,
    ( spl1187_382
    | ~ spl1187_128
    | ~ spl1187_273 ),
    inference(avatar_split_clause,[],[f43828,f43159,f42436,f43830]) ).

thf(f44009,plain,
    ( ! [X0: nat] :
        ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ X0 )
       != $true )
    | ~ spl1187_273
    | ~ spl1187_382 ),
    inference(forward_demodulation,[],[f43636,f43832]) ).

thf(f44010,plain,
    ( ( $true != $true )
    | ~ spl1187_273
    | ~ spl1187_370
    | ~ spl1187_382 ),
    inference(superposition,[],[f44009,f43679]) ).

thf(f44011,plain,
    ( $false
    | ~ spl1187_273
    | ~ spl1187_370
    | ~ spl1187_382 ),
    inference(trivial_inequality_removal,[],[f44010]) ).

thf(f44012,plain,
    ( ~ spl1187_273
    | ~ spl1187_370
    | ~ spl1187_382 ),
    inference(avatar_contradiction_clause,[],[f44011]) ).

cnf(s139,plain,
    spl1187_128,
    inference(sat_conversion,[],[f42439]) ).

cnf(s336,plain,
    spl1187_273,
    inference(sat_conversion,[],[f43162]) ).

cnf(s441,plain,
    spl1187_336,
    inference(sat_conversion,[],[f43476]) ).

cnf(s528,plain,
    ( ~ spl1187_273
    | ~ spl1187_336
    | spl1187_370 ),
    inference(sat_conversion,[],[f43680]) ).

cnf(s540,plain,
    ( ~ spl1187_128
    | ~ spl1187_273
    | spl1187_382 ),
    inference(sat_conversion,[],[f43833]) ).

cnf(s544,plain,
    ( ~ spl1187_273
    | ~ spl1187_370
    | ~ spl1187_382 ),
    inference(sat_conversion,[],[f44012]) ).

cnf(s547,plain,
    spl1187_370,
    inference(rat,[],[s528,s441,s336]) ).

cnf(s549,plain,
    ~ spl1187_382,
    inference(rat,[],[s544,s336,s547]) ).

cnf(s552,plain,
    ~ spl1187_128,
    inference(rat,[],[s540,s336,s549]) ).

cnf(s564,plain,
    $false,
    inference(rat,[],[s139,s552]) ).

thf(f44013,plain,
    $false,
    inference(avatar_sat_refutation,[],[s564]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP233^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n008.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 20:25:39 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running higher-order theorem proving
% 3.99/4.11  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
% 4.07/4.82  % (3689658)Detected a higher-order problem, will run a greedy HOL sequence.
% 4.07/4.82  % (3689667)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2820499690:i=24:av=off:rtra=on_2994 on theBenchmark for (2994ds/24Mi)
% 4.07/4.82  % (3689669)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.07/4.82  % (3689669)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
% 4.07/4.82  % (3689664)lrs+10_16_si=on:nwc=1.5:random_seed=4049599027:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/18Mi)
% 4.07/4.82  % (3689663)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=460248854:s2a=on:i=87:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/87Mi)
% 4.07/4.82  % (3689665)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2002802039:i=3:rtra=on:inj=on:ntd=on_2994 on theBenchmark for (2994ds/3Mi)
% 4.07/4.82  % (3689666)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=2923325819: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_2994 on theBenchmark for (2994ds/634Mi)
% 4.07/4.82  % (3689668)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2069636739:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/75Mi)
% 4.07/4.82  % (3689669)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=838046652:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2994 on theBenchmark for (2994ds/157Mi)
% 4.07/4.82  % (3689665)Instruction limit reached! 
% 4.07/4.82  % (3689665)------------------------------
% 4.07/4.82  % (3689665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.82  % (3689665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.82  % (3689665)CaDiCaL version: 2.1.3
% 4.07/4.82  % (3689665)Termination reason: Instruction limit
% 4.07/4.82  % (3689665)Termination phase: shuffling
% 4.07/4.82  % (3689665)Time elapsed: 0.005 s
% 4.07/4.82  % (3689665)Peak memory usage: 23 MB
% 4.07/4.82  % (3689665)Instructions burned: 3 (million)
% 4.07/4.82  % (3689667)Instruction limit reached! 
% 4.07/4.82  % (3689667)------------------------------
% 4.07/4.82  % (3689667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.82  % (3689667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.82  % (3689667)CaDiCaL version: 2.1.3
% 4.07/4.82  % (3689667)Termination reason: Instruction limit
% 4.07/4.82  % (3689667)Termination phase: shuffling
% 4.07/4.82  % (3689667)Time elapsed: 0.013 s
% 4.07/4.82  % (3689667)Peak memory usage: 24 MB
% 4.07/4.82  % (3689667)Instructions burned: 25 (million)
% 4.07/4.82  % (3689677)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=134882365:i=2:hud=10:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 4.07/4.82  % (3689664)Instruction limit reached! 
% 4.07/4.82  % (3689664)------------------------------
% 4.07/4.82  % (3689664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.82  % (3689664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.82  % (3689664)CaDiCaL version: 2.1.3
% 4.07/4.82  % (3689664)Termination reason: Instruction limit
% 4.07/4.82  % (3689664)Termination phase: shuffling
% 4.07/4.82  % (3689664)Time elapsed: 0.019 s
% 4.07/4.82  % (3689664)Peak memory usage: 24 MB
% 4.07/4.82  % (3689664)Instructions burned: 18 (million)
% 4.07/4.82  % (3689677)Instruction limit reached! 
% 4.07/4.82  % (3689677)------------------------------
% 4.07/4.82  % (3689677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.82  % (3689677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.82  % (3689677)CaDiCaL version: 2.1.3
% 4.07/4.82  % (3689677)Termination reason: Instruction limit
% 4.07/4.82  % (3689677)Termination phase: shuffling
% 4.07/4.82  % (3689677)Time elapsed: 0.002 s
% 4.07/4.82  % (3689677)Peak memory usage: 23 MB
% 4.07/4.82  % (3689677)Instructions burned: 2 (million)
% 4.07/4.82  % (3689678)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4014644620:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/5Mi)
% 4.07/4.86  % (3689681)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=95048500:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/12Mi)
% 4.07/4.86  % (3689678)Instruction limit reached! 
% 4.07/4.86  % (3689678)------------------------------
% 4.07/4.86  % (3689678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.86  % (3689678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.86  % (3689678)CaDiCaL version: 2.1.3
% 4.07/4.86  % (3689678)Termination reason: Instruction limit
% 4.07/4.86  % (3689678)Termination phase: shuffling
% 4.07/4.86  % (3689678)Time elapsed: 0.008 s
% 4.07/4.86  % (3689678)Peak memory usage: 23 MB
% 4.07/4.86  % (3689678)Instructions burned: 5 (million)
% 4.07/4.86  % (3689680)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.07/4.86  % (3689680)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2090973545:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2993 on theBenchmark for (2993ds/7Mi)
% 4.07/4.86  % (3689681)Instruction limit reached! 
% 4.07/4.86  % (3689681)------------------------------
% 4.07/4.86  % (3689681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.86  % (3689681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.86  % (3689681)CaDiCaL version: 2.1.3
% 4.07/4.86  % (3689681)Termination reason: Instruction limit
% 4.07/4.86  % (3689681)Termination phase: shuffling
% 4.07/4.86  % (3689681)Time elapsed: 0.010 s
% 4.07/4.86  % (3689681)Peak memory usage: 24 MB
% 4.07/4.86  % (3689681)Instructions burned: 15 (million)
% 4.07/4.86  % (3689668)Instruction limit reached! 
% 4.07/4.86  % (3689668)------------------------------
% 4.07/4.86  % (3689668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.86  % (3689668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.86  % (3689668)CaDiCaL version: 2.1.3
% 4.07/4.86  % (3689668)Termination reason: Instruction limit
% 4.07/4.86  % (3689668)Termination phase: shuffling
% 4.07/4.86  % (3689668)Time elapsed: 0.043 s
% 4.07/4.86  % (3689668)Peak memory usage: 25 MB
% 4.07/4.86  % (3689668)Instructions burned: 77 (million)
% 4.07/4.86  % (3689663)Instruction limit reached! 
% 4.07/4.86  % (3689663)------------------------------
% 4.07/4.86  % (3689663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.86  % (3689663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.86  % (3689663)CaDiCaL version: 2.1.3
% 4.07/4.86  % (3689663)Termination reason: Instruction limit
% 4.07/4.86  % (3689663)Termination phase: shuffling
% 4.07/4.86  % (3689663)Time elapsed: 0.049 s
% 4.07/4.86  % (3689663)Peak memory usage: 25 MB
% 4.07/4.86  % (3689663)Instructions burned: 87 (million)
% 4.07/4.86  % (3689680)Instruction limit reached! 
% 4.07/4.86  % (3689680)------------------------------
% 4.07/4.86  % (3689680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.86  % (3689680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.86  % (3689680)CaDiCaL version: 2.1.3
% 4.07/4.86  % (3689680)Termination reason: Instruction limit
% 4.07/4.86  % (3689680)Termination phase: shuffling
% 4.07/4.86  % (3689680)Time elapsed: 0.012 s
% 4.07/4.86  % (3689680)Peak memory usage: 23 MB
% 4.07/4.86  % (3689680)Instructions burned: 7 (million)
% 4.07/4.86  % (3689684)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
% 4.07/4.86  % (3689684)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.07/4.86  % (3689686)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=443055437:i=86:piset=equals:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/86Mi)
% 4.07/4.86  % (3689684)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1782693595:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2993 on theBenchmark for (2993ds/28Mi)
% 4.07/4.86  % (3689687)lrs+10_1_si=on:cs=on:random_seed=1212435273:i=8:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/8Mi)
% 4.07/4.86  % (3689688)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 4.07/4.91  % (3689688)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=240313542:i=2:add=on:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 4.07/4.91  % (3689689)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1216100834:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/38Mi)
% 4.07/4.91  % (3689688)Instruction limit reached! 
% 4.07/4.91  % (3689688)------------------------------
% 4.07/4.91  % (3689688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.91  % (3689688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.91  % (3689688)CaDiCaL version: 2.1.3
% 4.07/4.91  % (3689688)Termination reason: Instruction limit
% 4.07/4.91  % (3689688)Termination phase: shuffling
% 4.07/4.91  % (3689688)Time elapsed: 0.003 s
% 4.07/4.91  % (3689688)Peak memory usage: 23 MB
% 4.07/4.91  % (3689688)Instructions burned: 2 (million)
% 4.07/4.91  % (3689687)Instruction limit reached! 
% 4.07/4.91  % (3689687)------------------------------
% 4.07/4.91  % (3689687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.91  % (3689687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.91  % (3689687)CaDiCaL version: 2.1.3
% 4.07/4.91  % (3689687)Termination reason: Instruction limit
% 4.07/4.91  % (3689687)Termination phase: shuffling
% 4.07/4.91  % (3689687)Time elapsed: 0.013 s
% 4.07/4.91  % (3689687)Peak memory usage: 23 MB
% 4.07/4.91  % (3689687)Instructions burned: 8 (million)
% 4.07/4.91  % (3689684)Instruction limit reached! 
% 4.07/4.91  % (3689684)------------------------------
% 4.07/4.91  % (3689684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.91  % (3689684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.91  % (3689684)CaDiCaL version: 2.1.3
% 4.07/4.91  % (3689684)Termination reason: Instruction limit
% 4.07/4.91  % (3689684)Termination phase: shuffling
% 4.07/4.91  % (3689684)Time elapsed: 0.023 s
% 4.07/4.91  % (3689684)Peak memory usage: 24 MB
% 4.07/4.91  % (3689684)Instructions burned: 28 (million)
% 4.07/4.91  % (3689669)Instruction limit reached! 
% 4.07/4.91  % (3689669)------------------------------
% 4.07/4.91  % (3689669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.91  % (3689669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.91  % (3689669)CaDiCaL version: 2.1.3
% 4.07/4.91  % (3689669)Termination reason: Instruction limit
% 4.07/4.91  % (3689669)Termination phase: shuffling
% 4.07/4.91  % (3689669)Time elapsed: 0.080 s
% 4.07/4.91  % (3689669)Peak memory usage: 27 MB
% 4.07/4.91  % (3689669)Instructions burned: 158 (million)
% 4.07/4.91  % (3689686)Instruction limit reached! 
% 4.07/4.91  % (3689686)------------------------------
% 4.07/4.91  % (3689686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.91  % (3689686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.91  % (3689686)CaDiCaL version: 2.1.3
% 4.07/4.91  % (3689686)Termination reason: Instruction limit
% 4.07/4.91  % (3689686)Termination phase: shuffling
% 4.07/4.91  % (3689686)Time elapsed: 0.029 s
% 4.07/4.91  % (3689686)Peak memory usage: 26 MB
% 4.07/4.91  % (3689686)Instructions burned: 91 (million)
% 4.07/4.91  % (3689699)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=221989352:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/14Mi)
% 4.07/4.91  % (3689695)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2025828079:st=2:i=249:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/249Mi)
% 4.07/4.91  % (3689696)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=322810109:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/25Mi)
% 4.07/4.91  % (3689689)Instruction limit reached! 
% 4.07/4.91  % (3689689)------------------------------
% 4.07/4.91  % (3689689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.91  % (3689689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.91  % (3689689)CaDiCaL version: 2.1.3
% 4.07/4.91  % (3689689)Termination reason: Instruction limit
% 4.07/4.91  % (3689689)Termination phase: shuffling
% 4.07/4.91  % (3689689)Time elapsed: 0.027 s
% 4.07/4.91  % (3689689)Peak memory usage: 24 MB
% 4.07/4.99  % (3689689)Instructions burned: 40 (million)
% 4.07/4.99  % (3689697)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=854380699:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2993 on theBenchmark for (2993ds/14Mi)
% 4.07/4.99  % (3689698)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=309402048:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/327Mi)
% 4.07/4.99  % (3689699)Instruction limit reached! 
% 4.07/4.99  % (3689699)------------------------------
% 4.07/4.99  % (3689699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.99  % (3689699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.99  % (3689699)CaDiCaL version: 2.1.3
% 4.07/4.99  % (3689699)Termination reason: Instruction limit
% 4.07/4.99  % (3689699)Termination phase: shuffling
% 4.07/4.99  % (3689699)Time elapsed: 0.011 s
% 4.07/4.99  % (3689699)Peak memory usage: 24 MB
% 4.07/4.99  % (3689699)Instructions burned: 16 (million)
% 4.07/4.99  % (3689697)Instruction limit reached! 
% 4.07/4.99  % (3689697)------------------------------
% 4.07/4.99  % (3689697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.99  % (3689697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.99  % (3689697)CaDiCaL version: 2.1.3
% 4.07/4.99  % (3689697)Termination reason: Instruction limit
% 4.07/4.99  % (3689697)Termination phase: shuffling
% 4.07/4.99  % (3689697)Time elapsed: 0.016 s
% 4.07/4.99  % (3689697)Peak memory usage: 24 MB
% 4.07/4.99  % (3689697)Instructions burned: 16 (million)
% 4.07/4.99  % (3689706)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=464201427:i=26:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/26Mi)
% 4.07/4.99  % (3689696)Instruction limit reached! 
% 4.07/4.99  % (3689696)------------------------------
% 4.07/4.99  % (3689696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.99  % (3689696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.99  % (3689696)CaDiCaL version: 2.1.3
% 4.07/4.99  % (3689696)Termination reason: Instruction limit
% 4.07/4.99  % (3689696)Termination phase: shuffling
% 4.07/4.99  % (3689696)Time elapsed: 0.022 s
% 4.07/4.99  % (3689696)Peak memory usage: 25 MB
% 4.07/4.99  % (3689696)Instructions burned: 27 (million)
% 4.07/4.99  % (3689705)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1041493957:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2992 on theBenchmark for (2992ds/2Mi)
% 4.07/4.99  % (3689705)Instruction limit reached! 
% 4.07/4.99  % (3689705)------------------------------
% 4.07/4.99  % (3689705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.99  % (3689705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.99  % (3689705)CaDiCaL version: 2.1.3
% 4.07/4.99  % (3689705)Termination reason: Instruction limit
% 4.07/4.99  % (3689705)Termination phase: shuffling
% 4.07/4.99  % (3689705)Time elapsed: 0.003 s
% 4.07/4.99  % (3689705)Peak memory usage: 23 MB
% 4.07/4.99  % (3689705)Instructions burned: 2 (million)
% 4.07/4.99  % (3689706)Instruction limit reached! 
% 4.07/4.99  % (3689706)------------------------------
% 4.07/4.99  % (3689706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/4.99  % (3689706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/4.99  % (3689706)CaDiCaL version: 2.1.3
% 4.07/4.99  % (3689706)Termination reason: Instruction limit
% 4.07/4.99  % (3689706)Termination phase: shuffling
% 4.07/4.99  % (3689706)Time elapsed: 0.013 s
% 4.07/4.99  % (3689706)Peak memory usage: 24 MB
% 4.07/4.99  % (3689706)Instructions burned: 27 (million)
% 4.07/4.99  % (3689708)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3303526589:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/23Mi)
% 4.07/4.99  % (3689710)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1684742442:cond=on:i=60:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/60Mi)
% 4.07/4.99  % (3689711)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
% 4.07/4.99  % (3689711)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 4.07/4.99  % (3689712)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 6.91/5.07  % (3689712)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=2940035139:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2992 on theBenchmark for (2992ds/8Mi)
% 6.91/5.07  % (3689711)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=3553677756:i=14:add=off:nm=40:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/14Mi)
% 6.91/5.07  % (3689712)Instruction limit reached! 
% 6.91/5.07  % (3689712)------------------------------
% 6.91/5.07  % (3689712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.07  % (3689712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.07  % (3689712)CaDiCaL version: 2.1.3
% 6.91/5.07  % (3689712)Termination reason: Instruction limit
% 6.91/5.07  % (3689712)Termination phase: shuffling
% 6.91/5.07  % (3689712)Time elapsed: 0.007 s
% 6.91/5.07  % (3689712)Peak memory usage: 24 MB
% 6.91/5.07  % (3689712)Instructions burned: 9 (million)
% 6.91/5.07  % (3689708)Instruction limit reached! 
% 6.91/5.07  % (3689708)------------------------------
% 6.91/5.07  % (3689708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.07  % (3689708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.07  % (3689708)CaDiCaL version: 2.1.3
% 6.91/5.07  % (3689708)Termination reason: Instruction limit
% 6.91/5.07  % (3689708)Termination phase: shuffling
% 6.91/5.07  % (3689708)Time elapsed: 0.022 s
% 6.91/5.07  % (3689708)Peak memory usage: 24 MB
% 6.91/5.07  % (3689708)Instructions burned: 25 (million)
% 6.91/5.07  % (3689711)Instruction limit reached! 
% 6.91/5.07  % (3689711)------------------------------
% 6.91/5.07  % (3689711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.07  % (3689711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.07  % (3689711)CaDiCaL version: 2.1.3
% 6.91/5.07  % (3689711)Termination reason: Instruction limit
% 6.91/5.07  % (3689711)Termination phase: shuffling
% 6.91/5.07  % (3689711)Time elapsed: 0.016 s
% 6.91/5.07  % (3689711)Peak memory usage: 24 MB
% 6.91/5.07  % (3689711)Instructions burned: 15 (million)
% 6.91/5.07  % (3689717)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=3426861274:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/31Mi)
% 6.91/5.07  % (3689710)Instruction limit reached! 
% 6.91/5.07  % (3689710)------------------------------
% 6.91/5.07  % (3689710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.07  % (3689710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.07  % (3689710)CaDiCaL version: 2.1.3
% 6.91/5.07  % (3689710)Termination reason: Instruction limit
% 6.91/5.07  % (3689710)Termination phase: shuffling
% 6.91/5.07  % (3689710)Time elapsed: 0.036 s
% 6.91/5.07  % (3689710)Peak memory usage: 25 MB
% 6.91/5.07  % (3689710)Instructions burned: 61 (million)
% 6.91/5.07  % (3689717)Instruction limit reached! 
% 6.91/5.07  % (3689717)------------------------------
% 6.91/5.07  % (3689717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.07  % (3689717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.07  % (3689717)CaDiCaL version: 2.1.3
% 6.91/5.07  % (3689717)Termination reason: Instruction limit
% 6.91/5.07  % (3689717)Termination phase: shuffling
% 6.91/5.07  % (3689717)Time elapsed: 0.014 s
% 6.91/5.07  % (3689717)Peak memory usage: 24 MB
% 6.91/5.07  % (3689717)Instructions burned: 32 (million)
% 6.91/5.07  % (3689718)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3747958168:i=7:hud=5:bd=preordered:rtra=on:bet=on_2992 on theBenchmark for (2992ds/7Mi)
% 6.91/5.07  % (3689719)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2511673801:i=23:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/23Mi)
% 6.91/5.07  % (3689722)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2029992213:i=1240:rtra=on:ixr=off_2992 on theBenchmark for (2992ds/1240Mi)
% 6.91/5.07  % (3689718)Instruction limit reached! 
% 6.91/5.07  % (3689718)------------------------------
% 6.91/5.07  % (3689718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.13  % (3689718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.13  % (3689718)CaDiCaL version: 2.1.3
% 6.91/5.13  % (3689718)Termination reason: Instruction limit
% 6.91/5.13  % (3689718)Termination phase: shuffling
% 6.91/5.13  % (3689718)Time elapsed: 0.011 s
% 6.91/5.13  % (3689718)Peak memory usage: 23 MB
% 6.91/5.13  % (3689718)Instructions burned: 7 (million)
% 6.91/5.13  % (3689721)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=240157385:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/20Mi)
% 6.91/5.13  % (3689719)Instruction limit reached! 
% 6.91/5.13  % (3689719)------------------------------
% 6.91/5.13  % (3689719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.13  % (3689719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.13  % (3689719)CaDiCaL version: 2.1.3
% 6.91/5.13  % (3689719)Termination reason: Instruction limit
% 6.91/5.13  % (3689719)Termination phase: shuffling
% 6.91/5.13  % (3689719)Time elapsed: 0.021 s
% 6.91/5.13  % (3689719)Peak memory usage: 24 MB
% 6.91/5.13  % (3689719)Instructions burned: 24 (million)
% 6.91/5.13  % (3689726)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3940576853:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/143Mi)
% 6.91/5.13  % (3689695)Instruction limit reached! 
% 6.91/5.13  % (3689695)------------------------------
% 6.91/5.13  % (3689695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.13  % (3689695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.13  % (3689695)CaDiCaL version: 2.1.3
% 6.91/5.13  % (3689695)Termination reason: Instruction limit
% 6.91/5.13  % (3689695)Termination phase: shuffling
% 6.91/5.13  % (3689695)Time elapsed: 0.121 s
% 6.91/5.13  % (3689695)Peak memory usage: 29 MB
% 6.91/5.13  % (3689695)Instructions burned: 249 (million)
% 6.91/5.13  % (3689721)Instruction limit reached! 
% 6.91/5.13  % (3689721)------------------------------
% 6.91/5.13  % (3689721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.13  % (3689721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.13  % (3689721)CaDiCaL version: 2.1.3
% 6.91/5.13  % (3689721)Termination reason: Instruction limit
% 6.91/5.13  % (3689721)Termination phase: shuffling
% 6.91/5.13  % (3689721)Time elapsed: 0.021 s
% 6.91/5.13  % (3689721)Peak memory usage: 24 MB
% 6.91/5.13  % (3689721)Instructions burned: 23 (million)
% 6.91/5.13  % (3689728)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3044552045:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/193Mi)
% 6.91/5.13  % (3689731)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.91/5.13  % (3689730)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=345222664:i=42:hud=10:rtra=on_2991 on theBenchmark for (2991ds/42Mi)
% 6.91/5.13  % (3689731)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4273205100:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2991 on theBenchmark for (2991ds/7Mi)
% 6.91/5.13  % (3689731)Instruction limit reached! 
% 6.91/5.13  % (3689731)------------------------------
% 6.91/5.13  % (3689731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.13  % (3689731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.13  % (3689731)CaDiCaL version: 2.1.3
% 6.91/5.13  % (3689731)Termination reason: Instruction limit
% 6.91/5.13  % (3689731)Termination phase: shuffling
% 6.91/5.13  % (3689731)Time elapsed: 0.011 s
% 6.91/5.13  % (3689731)Peak memory usage: 23 MB
% 6.91/5.13  % (3689731)Instructions burned: 7 (million)
% 6.91/5.13  % (3689698)Instruction limit reached! 
% 6.91/5.13  % (3689698)------------------------------
% 6.91/5.13  % (3689698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/5.13  % (3689698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/5.13  % (3689698)CaDiCaL version: 2.1.3
% 6.91/5.13  % (3689698)Termination reason: Instruction limit
% 6.91/5.13  % (3689698)Termination phase: shuffling
% 6.91/5.13  % (3689698)Time elapsed: 0.156 s
% 6.91/5.13  % (3689698)Peak memory usage: 30 MB
% 6.91/5.13  % (3689698)Instructions burned: 327 (million)
% 6.91/5.13  % (3689730)Instruction limit reached! 
% 6.91/5.13  % (3689730)------------------------------
% 6.91/5.13  % (3689730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.23  % (3689730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.23  % (3689730)CaDiCaL version: 2.1.3
% 7.54/5.23  % (3689730)Termination reason: Instruction limit
% 7.54/5.23  % (3689730)Termination phase: shuffling
% 7.54/5.23  % (3689730)Time elapsed: 0.029 s
% 7.54/5.23  % (3689730)Peak memory usage: 24 MB
% 7.54/5.23  % (3689730)Instructions burned: 42 (million)
% 7.54/5.23  % (3689735)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2199127312:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/181Mi)
% 7.54/5.23  % (3689736)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=3630466481:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/169Mi)
% 7.54/5.23  % (3689737)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 7.54/5.23  % (3689726)Instruction limit reached! 
% 7.54/5.23  % (3689726)------------------------------
% 7.54/5.24  % (3689726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.24  % (3689726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.24  % (3689726)CaDiCaL version: 2.1.3
% 7.54/5.24  % (3689726)Termination reason: Instruction limit
% 7.54/5.24  % (3689726)Termination phase: shuffling
% 7.54/5.24  % (3689726)Time elapsed: 0.075 s
% 7.54/5.24  % (3689726)Peak memory usage: 27 MB
% 7.54/5.24  % (3689726)Instructions burned: 144 (million)
% 7.54/5.24  % (3689737)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3680447635:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2991 on theBenchmark for (2991ds/6Mi)
% 7.54/5.24  % (3689666)Instruction limit reached! 
% 7.54/5.24  % (3689666)------------------------------
% 7.54/5.24  % (3689666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.24  % (3689666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.24  % (3689666)CaDiCaL version: 2.1.3
% 7.54/5.24  % (3689666)Termination reason: Instruction limit
% 7.54/5.24  % (3689666)Termination phase: shuffling
% 7.54/5.24  % (3689666)Time elapsed: 0.295 s
% 7.54/5.24  % (3689666)Peak memory usage: 28 MB
% 7.54/5.24  % (3689666)Instructions burned: 634 (million)
% 7.54/5.24  % (3689737)Instruction limit reached! 
% 7.54/5.24  % (3689737)------------------------------
% 7.54/5.24  % (3689737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.24  % (3689737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.24  % (3689737)CaDiCaL version: 2.1.3
% 7.54/5.24  % (3689737)Termination reason: Instruction limit
% 7.54/5.24  % (3689737)Termination phase: shuffling
% 7.54/5.24  % (3689737)Time elapsed: 0.011 s
% 7.54/5.24  % (3689737)Peak memory usage: 23 MB
% 7.54/5.24  % (3689737)Instructions burned: 6 (million)
% 7.54/5.24  % (3689728)Instruction limit reached! 
% 7.54/5.24  % (3689728)------------------------------
% 7.54/5.24  % (3689728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.24  % (3689743)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=1483473189:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/316Mi)
% 7.54/5.24  % (3689728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.24  % (3689728)CaDiCaL version: 2.1.3
% 7.54/5.24  % (3689728)Termination reason: Instruction limit
% 7.54/5.24  % (3689728)Termination phase: shuffling
% 7.54/5.24  % (3689728)Time elapsed: 0.098 s
% 7.54/5.24  % (3689728)Peak memory usage: 27 MB
% 7.54/5.24  % (3689728)Instructions burned: 195 (million)
% 7.54/5.24  % (3689741)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2775141408:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 7.54/5.24  % (3689742)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2008331890:i=19:add=on:rtra=on_2990 on theBenchmark for (2990ds/19Mi)
% 7.54/5.24  % (3689745)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=1442447478:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2990 on theBenchmark for (2990ds/853Mi)
% 8.20/5.33  % (3689741)Instruction limit reached! 
% 8.20/5.33  % (3689741)------------------------------
% 8.20/5.33  % (3689741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/5.33  % (3689741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/5.33  % (3689741)CaDiCaL version: 2.1.3
% 8.20/5.33  % (3689741)Termination reason: Instruction limit
% 8.20/5.33  % (3689741)Termination phase: shuffling
% 8.20/5.33  % (3689741)Time elapsed: 0.021 s
% 8.20/5.33  % (3689741)Peak memory usage: 24 MB
% 8.20/5.33  % (3689741)Instructions burned: 24 (million)
% 8.20/5.33  % (3689742)Instruction limit reached! 
% 8.20/5.33  % (3689742)------------------------------
% 8.20/5.33  % (3689742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/5.33  % (3689742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/5.33  % (3689742)CaDiCaL version: 2.1.3
% 8.20/5.33  % (3689742)Termination reason: Instruction limit
% 8.20/5.33  % (3689742)Termination phase: shuffling
% 8.20/5.33  % (3689742)Time elapsed: 0.018 s
% 8.20/5.33  % (3689742)Peak memory usage: 24 MB
% 8.20/5.33  % (3689742)Instructions burned: 19 (million)
% 8.20/5.33  % (3689736)Instruction limit reached! 
% 8.20/5.33  % (3689736)------------------------------
% 8.20/5.33  % (3689736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/5.33  % (3689736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/5.33  % (3689736)CaDiCaL version: 2.1.3
% 8.20/5.33  % (3689736)Termination reason: Instruction limit
% 8.20/5.33  % (3689736)Termination phase: shuffling
% 8.20/5.33  % (3689736)Time elapsed: 0.088 s
% 8.20/5.33  % (3689736)Peak memory usage: 27 MB
% 8.20/5.33  % (3689736)Instructions burned: 171 (million)
% 8.20/5.33  % (3689735)Instruction limit reached! 
% 8.20/5.33  % (3689735)------------------------------
% 8.20/5.33  % (3689735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/5.33  % (3689735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/5.33  % (3689735)CaDiCaL version: 2.1.3
% 8.20/5.33  % (3689735)Termination reason: Instruction limit
% 8.20/5.33  % (3689735)Termination phase: shuffling
% 8.20/5.33  % (3689735)Time elapsed: 0.093 s
% 8.20/5.33  % (3689735)Peak memory usage: 28 MB
% 8.20/5.33  % (3689735)Instructions burned: 183 (million)
% 8.20/5.33  % (3689749)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=2454047535:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2990 on theBenchmark for (2990ds/45Mi)
% 8.20/5.33  % (3689750)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2661705940:i=480:rtra=on_2990 on theBenchmark for (2990ds/480Mi)
% 8.20/5.33  % (3689754)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.20/5.33  % (3689751)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=122066271:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2990 on theBenchmark for (2990ds/21Mi)
% 8.20/5.33  % (3689754)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1815443683:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/200Mi)
% 8.20/5.33  % (3689749)Instruction limit reached! 
% 8.20/5.33  % (3689749)------------------------------
% 8.20/5.33  % (3689749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/5.33  % (3689749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/5.33  % (3689749)CaDiCaL version: 2.1.3
% 8.20/5.33  % (3689749)Termination reason: Instruction limit
% 8.20/5.33  % (3689749)Termination phase: Property scanning
% 8.20/5.33  % (3689749)Time elapsed: 0.029 s
% 8.20/5.33  % (3689749)Peak memory usage: 24 MB
% 8.20/5.33  % (3689749)Instructions burned: 46 (million)
% 8.20/5.33  % (3689751)Instruction limit reached! 
% 8.20/5.33  % (3689751)------------------------------
% 8.20/5.33  % (3689751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/5.33  % (3689751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/5.33  % (3689751)CaDiCaL version: 2.1.3
% 8.20/5.33  % (3689751)Termination reason: Instruction limit
% 8.20/5.33  % (3689751)Termination phase: shuffling
% 8.20/5.33  % (3689751)Time elapsed: 0.020 s
% 8.20/5.33  % (3689751)Peak memory usage: 24 MB
% 8.82/5.46  % (3689751)Instructions burned: 23 (million)
% 8.82/5.46  % (3689757)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1817712920:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2989 on theBenchmark for (2989ds/13Mi)
% 8.82/5.46  % (3689758)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=543321813:i=66:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/66Mi)
% 8.82/5.46  % (3689757)Instruction limit reached! 
% 8.82/5.46  % (3689757)------------------------------
% 8.82/5.46  % (3689757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/5.46  % (3689757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/5.46  % (3689757)CaDiCaL version: 2.1.3
% 8.82/5.46  % (3689757)Termination reason: Instruction limit
% 8.82/5.46  % (3689757)Termination phase: shuffling
% 8.82/5.46  % (3689757)Time elapsed: 0.016 s
% 8.82/5.46  % (3689757)Peak memory usage: 24 MB
% 8.82/5.46  % (3689757)Instructions burned: 13 (million)
% 8.82/5.46  % (3689761)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=918323864:i=51:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/51Mi)
% 8.82/5.46  % (3689758)Instruction limit reached! 
% 8.82/5.46  % (3689758)------------------------------
% 8.82/5.46  % (3689758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/5.46  % (3689758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/5.46  % (3689758)CaDiCaL version: 2.1.3
% 8.82/5.46  % (3689758)Termination reason: Instruction limit
% 8.82/5.46  % (3689758)Termination phase: shuffling
% 8.82/5.46  % (3689758)Time elapsed: 0.040 s
% 8.82/5.46  % (3689758)Peak memory usage: 26 MB
% 8.82/5.46  % (3689758)Instructions burned: 66 (million)
% 8.82/5.46  % (3689743)Instruction limit reached! 
% 8.82/5.46  % (3689743)------------------------------
% 8.82/5.46  % (3689743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/5.46  % (3689743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/5.46  % (3689743)CaDiCaL version: 2.1.3
% 8.82/5.46  % (3689743)Termination reason: Instruction limit
% 8.82/5.46  % (3689743)Termination phase: shuffling
% 8.82/5.46  % (3689743)Time elapsed: 0.155 s
% 8.82/5.46  % (3689743)Peak memory usage: 31 MB
% 8.82/5.46  % (3689743)Instructions burned: 318 (million)
% 8.82/5.46  % (3689754)Instruction limit reached! 
% 8.82/5.46  % (3689754)------------------------------
% 8.82/5.46  % (3689754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/5.46  % (3689754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/5.46  % (3689754)CaDiCaL version: 2.1.3
% 8.82/5.46  % (3689754)Termination reason: Instruction limit
% 8.82/5.46  % (3689754)Termination phase: shuffling
% 8.82/5.46  % (3689754)Time elapsed: 0.099 s
% 8.82/5.46  % (3689754)Peak memory usage: 28 MB
% 8.82/5.46  % (3689754)Instructions burned: 201 (million)
% 8.82/5.46  % (3689761)Instruction limit reached! 
% 8.82/5.46  % (3689761)------------------------------
% 8.82/5.46  % (3689761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/5.46  % (3689761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/5.46  % (3689761)CaDiCaL version: 2.1.3
% 8.82/5.46  % (3689761)Termination reason: Instruction limit
% 8.82/5.46  % (3689761)Termination phase: shuffling
% 8.82/5.46  % (3689761)Time elapsed: 0.034 s
% 8.82/5.46  % (3689761)Peak memory usage: 25 MB
% 8.82/5.46  % (3689761)Instructions burned: 52 (million)
% 8.82/5.46  % (3689763)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1148896592:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 8.82/5.46  % (3689764)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1360835882:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2989 on theBenchmark for (2989ds/137Mi)
% 8.82/5.46  % (3689765)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=31028288:cond=on:i=34:hud=10:nm=10:rtra=on_2989 on theBenchmark for (2989ds/34Mi)
% 8.82/5.46  % (3689767)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=327654577:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2989 on theBenchmark for (2989ds/67Mi)
% 8.82/5.46  % (3689722)Instruction limit reached! 
% 8.82/5.46  % (3689722)------------------------------
% 8.82/5.46  % (3689722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.61/5.56  % (3689722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/5.56  % (3689722)CaDiCaL version: 2.1.3
% 9.61/5.56  % (3689722)Termination reason: Instruction limit
% 9.61/5.56  % (3689722)Termination phase: Property scanning
% 9.61/5.56  % (3689722)Time elapsed: 0.322 s
% 9.61/5.56  % (3689722)Peak memory usage: 49 MB
% 9.61/5.56  % (3689722)Instructions burned: 1242 (million)
% 9.61/5.56  % (3689763)Instruction limit reached! 
% 9.61/5.56  % (3689763)------------------------------
% 9.61/5.56  % (3689763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.61/5.56  % (3689763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/5.56  % (3689763)CaDiCaL version: 2.1.3
% 9.61/5.56  % (3689763)Termination reason: Instruction limit
% 9.61/5.56  % (3689763)Termination phase: shuffling
% 9.61/5.56  % (3689763)Time elapsed: 0.025 s
% 9.61/5.56  % (3689763)Peak memory usage: 24 MB
% 9.61/5.56  % (3689763)Instructions burned: 31 (million)
% 9.61/5.56  % (3689771)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 9.61/5.56  % (3689771)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3059618530:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2988 on theBenchmark for (2988ds/180Mi)
% 9.61/5.56  % (3689765)Instruction limit reached! 
% 9.61/5.56  % (3689765)------------------------------
% 9.61/5.56  % (3689765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.61/5.56  % (3689765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/5.56  % (3689765)CaDiCaL version: 2.1.3
% 9.61/5.56  % (3689765)Termination reason: Instruction limit
% 9.61/5.56  % (3689765)Termination phase: shuffling
% 9.61/5.56  % (3689765)Time elapsed: 0.026 s
% 9.61/5.56  % (3689765)Peak memory usage: 24 MB
% 9.61/5.56  % (3689765)Instructions burned: 34 (million)
% 9.61/5.56  % (3689772)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=726647196:st=2:i=246:sd=3:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/246Mi)
% 9.61/5.56  % (3689767)Instruction limit reached! 
% 9.61/5.56  % (3689767)------------------------------
% 9.61/5.56  % (3689767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.61/5.56  % (3689767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/5.56  % (3689767)CaDiCaL version: 2.1.3
% 9.61/5.56  % (3689767)Termination reason: Instruction limit
% 9.61/5.56  % (3689767)Termination phase: shuffling
% 9.61/5.56  % (3689767)Time elapsed: 0.041 s
% 9.61/5.56  % (3689767)Peak memory usage: 25 MB
% 9.61/5.56  % (3689767)Instructions burned: 68 (million)
% 9.61/5.56  % (3689774)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2845242301:cond=on:i=96:bd=all:rtra=on_2988 on theBenchmark for (2988ds/96Mi)
% 9.61/5.56  % (3689764)Instruction limit reached! 
% 9.61/5.56  % (3689764)------------------------------
% 9.61/5.56  % (3689764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.61/5.56  % (3689764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/5.56  % (3689764)CaDiCaL version: 2.1.3
% 9.61/5.56  % (3689764)Termination reason: Instruction limit
% 9.61/5.56  % (3689764)Termination phase: shuffling
% 9.61/5.56  % (3689764)Time elapsed: 0.073 s
% 9.61/5.56  % (3689764)Peak memory usage: 27 MB
% 9.61/5.56  % (3689764)Instructions burned: 139 (million)
% 9.61/5.56  % (3689776)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1607748946:i=427:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/427Mi)
% 9.61/5.56  % (3689771)Instruction limit reached! 
% 9.61/5.56  % (3689771)------------------------------
% 9.61/5.56  % (3689771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.61/5.56  % (3689771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/5.56  % (3689771)CaDiCaL version: 2.1.3
% 9.61/5.56  % (3689771)Termination reason: Instruction limit
% 9.61/5.56  % (3689771)Termination phase: shuffling
% 9.61/5.56  % (3689771)Time elapsed: 0.052 s
% 9.61/5.56  % (3689771)Peak memory usage: 28 MB
% 9.61/5.56  % (3689771)Instructions burned: 182 (million)
% 9.61/5.56  % (3689780)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2060059369:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/515Mi)
% 9.61/5.56  % (3689779)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1083112596:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/874Mi)
% 9.61/5.56  % (3689774)Instruction limit reached! 
% 10.14/5.77  % (3689774)------------------------------
% 10.14/5.77  % (3689774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.77  % (3689774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.77  % (3689774)CaDiCaL version: 2.1.3
% 10.14/5.77  % (3689774)Termination reason: Instruction limit
% 10.14/5.77  % (3689774)Termination phase: shuffling
% 10.14/5.77  % (3689774)Time elapsed: 0.055 s
% 10.14/5.77  % (3689774)Peak memory usage: 26 MB
% 10.14/5.77  % (3689774)Instructions burned: 96 (million)
% 10.14/5.77  % (3689783)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1671381149:st=1.5:i=130:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 10.14/5.77  % (3689772)Instruction limit reached! 
% 10.14/5.77  % (3689772)------------------------------
% 10.14/5.77  % (3689772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.77  % (3689772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.77  % (3689772)CaDiCaL version: 2.1.3
% 10.14/5.77  % (3689772)Termination reason: Instruction limit
% 10.14/5.77  % (3689772)Termination phase: shuffling
% 10.14/5.77  % (3689772)Time elapsed: 0.121 s
% 10.14/5.77  % (3689772)Peak memory usage: 28 MB
% 10.14/5.77  % (3689772)Instructions burned: 246 (million)
% 10.14/5.77  % (3689750)Instruction limit reached! 
% 10.14/5.77  % (3689750)------------------------------
% 10.14/5.77  % (3689750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.77  % (3689750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.77  % (3689750)CaDiCaL version: 2.1.3
% 10.14/5.77  % (3689750)Termination reason: Instruction limit
% 10.14/5.77  % (3689750)Termination phase: shuffling
% 10.14/5.77  % (3689750)Time elapsed: 0.297 s
% 10.14/5.77  % (3689750)Peak memory usage: 32 MB
% 10.14/5.77  % (3689750)Instructions burned: 482 (million)
% 10.14/5.77  % (3689785)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3408165606:i=44:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/44Mi)
% 10.14/5.77  % (3689786)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2209846015:s2a=on:i=571:nm=16:rtra=on_2987 on theBenchmark for (2987ds/571Mi)
% 10.14/5.77  % (3689783)Instruction limit reached! 
% 10.14/5.77  % (3689783)------------------------------
% 10.14/5.77  % (3689783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.77  % (3689783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.77  % (3689783)CaDiCaL version: 2.1.3
% 10.14/5.77  % (3689783)Termination reason: Instruction limit
% 10.14/5.77  % (3689783)Termination phase: shuffling
% 10.14/5.77  % (3689783)Time elapsed: 0.069 s
% 10.14/5.77  % (3689783)Peak memory usage: 27 MB
% 10.14/5.77  % (3689783)Instructions burned: 131 (million)
% 10.14/5.77  % (3689785)Instruction limit reached! 
% 10.14/5.77  % (3689785)------------------------------
% 10.14/5.77  % (3689785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.77  % (3689785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.77  % (3689785)CaDiCaL version: 2.1.3
% 10.14/5.77  % (3689785)Termination reason: Instruction limit
% 10.14/5.77  % (3689785)Termination phase: shuffling
% 10.14/5.77  % (3689785)Time elapsed: 0.031 s
% 10.14/5.77  % (3689785)Peak memory usage: 25 MB
% 10.14/5.77  % (3689785)Instructions burned: 44 (million)
% 10.14/5.77  % (3689780)Instruction limit reached! 
% 10.14/5.77  % (3689780)------------------------------
% 10.14/5.77  % (3689780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.77  % (3689780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.77  % (3689780)CaDiCaL version: 2.1.3
% 10.14/5.77  % (3689780)Termination reason: Instruction limit
% 10.14/5.77  % (3689780)Termination phase: shuffling
% 10.14/5.77  % (3689780)Time elapsed: 0.133 s
% 10.14/5.77  % (3689780)Peak memory usage: 33 MB
% 10.14/5.77  % (3689780)Instructions burned: 519 (million)
% 10.14/5.77  % (3689789)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3539439726:i=450:rtra=on:ixr=off:ntd=on_2986 on theBenchmark for (2986ds/450Mi)
% 10.14/5.77  % (3689790)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=11530275:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/95Mi)
% 10.14/5.77  % (3689792)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=2562382068:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2986 on theBenchmark for (2986ds/65Mi)
% 11.00/5.87  % (3689792)Instruction limit reached! 
% 11.00/5.87  % (3689792)------------------------------
% 11.00/5.87  % (3689792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.00/5.87  % (3689792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/5.87  % (3689792)CaDiCaL version: 2.1.3
% 11.00/5.87  % (3689792)Termination reason: Instruction limit
% 11.00/5.87  % (3689792)Termination phase: shuffling
% 11.00/5.87  % (3689792)Time elapsed: 0.022 s
% 11.00/5.87  % (3689792)Peak memory usage: 26 MB
% 11.00/5.87  % (3689792)Instructions burned: 67 (million)
% 11.00/5.87  % (3689745)Instruction limit reached! 
% 11.00/5.87  % (3689745)------------------------------
% 11.00/5.87  % (3689745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.00/5.87  % (3689745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/5.87  % (3689745)CaDiCaL version: 2.1.3
% 11.00/5.87  % (3689745)Termination reason: Instruction limit
% 11.00/5.87  % (3689745)Termination phase: shuffling
% 11.00/5.87  % (3689745)Time elapsed: 0.423 s
% 11.00/5.87  % (3689745)Peak memory usage: 31 MB
% 11.00/5.87  % (3689745)Instructions burned: 854 (million)
% 11.00/5.87  % (3689795)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=918337348: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_2986 on theBenchmark for (2986ds/105Mi)
% 11.00/5.87  % (3689796)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=1031777073:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2986 on theBenchmark for (2986ds/5755Mi)
% 11.00/5.87  % (3689790)Instruction limit reached! 
% 11.00/5.87  % (3689790)------------------------------
% 11.00/5.87  % (3689790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.00/5.87  % (3689790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/5.87  % (3689790)CaDiCaL version: 2.1.3
% 11.00/5.87  % (3689790)Termination reason: Instruction limit
% 11.00/5.87  % (3689790)Termination phase: shuffling
% 11.00/5.87  % (3689790)Time elapsed: 0.056 s
% 11.00/5.87  % (3689790)Peak memory usage: 27 MB
% 11.00/5.87  % (3689790)Instructions burned: 97 (million)
% 11.00/5.87  % (3689776)Instruction limit reached! 
% 11.00/5.87  % (3689776)------------------------------
% 11.00/5.87  % (3689776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.00/5.87  % (3689776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/5.87  % (3689776)CaDiCaL version: 2.1.3
% 11.00/5.87  % (3689776)Termination reason: Instruction limit
% 11.00/5.87  % (3689776)Termination phase: shuffling
% 11.00/5.87  % (3689776)Time elapsed: 0.227 s
% 11.00/5.87  % (3689776)Peak memory usage: 31 MB
% 11.00/5.87  % (3689776)Instructions burned: 428 (million)
% 11.00/5.87  % (3689795)Instruction limit reached! 
% 11.00/5.87  % (3689795)------------------------------
% 11.00/5.87  % (3689795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.00/5.87  % (3689795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/5.87  % (3689795)CaDiCaL version: 2.1.3
% 11.00/5.87  % (3689795)Termination reason: Instruction limit
% 11.00/5.87  % (3689795)Termination phase: shuffling
% 11.00/5.87  % (3689795)Time elapsed: 0.033 s
% 11.00/5.87  % (3689795)Peak memory usage: 26 MB
% 11.00/5.87  % (3689795)Instructions burned: 106 (million)
% 11.00/5.87  % (3689800)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1134761384:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/375Mi)
% 11.00/5.87  % (3689802)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=422466501:cond=on:i=34:hud=10:nm=10:rtra=on_2985 on theBenchmark for (2985ds/34Mi)
% 11.00/5.87  % (3689801)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3652931080:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/495Mi)
% 11.00/5.87  % (3689802)Instruction limit reached! 
% 11.00/5.87  % (3689802)------------------------------
% 11.00/5.87  % (3689802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.00/5.87  % (3689802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/6.04  % (3689802)CaDiCaL version: 2.1.3
% 13.95/6.04  % (3689802)Termination reason: Instruction limit
% 13.95/6.04  % (3689802)Termination phase: shuffling
% 13.95/6.04  % (3689802)Time elapsed: 0.015 s
% 13.95/6.04  % (3689802)Peak memory usage: 24 MB
% 13.95/6.04  % (3689802)Instructions burned: 36 (million)
% 13.95/6.04  % (3689807)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1427190371:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/91Mi)
% 13.95/6.04  % (3689807)Instruction limit reached! 
% 13.95/6.04  % (3689807)------------------------------
% 13.95/6.04  % (3689807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/6.04  % (3689807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/6.04  % (3689807)CaDiCaL version: 2.1.3
% 13.95/6.04  % (3689807)Termination reason: Instruction limit
% 13.95/6.04  % (3689807)Termination phase: shuffling
% 13.95/6.04  % (3689807)Time elapsed: 0.036 s
% 13.95/6.04  % (3689807)Peak memory usage: 25 MB
% 13.95/6.04  % (3689807)Instructions burned: 93 (million)
% 13.95/6.04  % (3689809)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1171110969:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2985 on theBenchmark for (2985ds/66Mi)
% 13.95/6.04  % (3689809)Instruction limit reached! 
% 13.95/6.04  % (3689809)------------------------------
% 13.95/6.04  % (3689809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/6.04  % (3689809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/6.04  % (3689809)CaDiCaL version: 2.1.3
% 13.95/6.04  % (3689809)Termination reason: Instruction limit
% 13.95/6.04  % (3689809)Termination phase: shuffling
% 13.95/6.04  % (3689809)Time elapsed: 0.023 s
% 13.95/6.04  % (3689809)Peak memory usage: 25 MB
% 13.95/6.04  % (3689809)Instructions burned: 70 (million)
% 13.95/6.04  % (3689811)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2419423863:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2984 on theBenchmark for (2984ds/22Mi)
% 13.95/6.04  % (3689811)Instruction limit reached! 
% 13.95/6.04  % (3689811)------------------------------
% 13.95/6.04  % (3689811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/6.04  % (3689811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/6.04  % (3689811)CaDiCaL version: 2.1.3
% 13.95/6.04  % (3689811)Termination reason: Instruction limit
% 13.95/6.04  % (3689811)Termination phase: shuffling
% 13.95/6.04  % (3689811)Time elapsed: 0.012 s
% 13.95/6.04  % (3689811)Peak memory usage: 24 MB
% 13.95/6.04  % (3689811)Instructions burned: 25 (million)
% 13.95/6.04  % (3689813)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=3117599319:i=338:bd=all:ins=4:rtra=on_2984 on theBenchmark for (2984ds/338Mi)
% 13.95/6.04  % (3689789)Instruction limit reached! 
% 13.95/6.04  % (3689789)------------------------------
% 13.95/6.04  % (3689789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/6.04  % (3689789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/6.04  % (3689789)CaDiCaL version: 2.1.3
% 13.95/6.04  % (3689789)Termination reason: Instruction limit
% 13.95/6.04  % (3689789)Termination phase: shuffling
% 13.95/6.04  % (3689789)Time elapsed: 0.268 s
% 13.95/6.04  % (3689789)Peak memory usage: 32 MB
% 13.95/6.04  % (3689789)Instructions burned: 450 (million)
% 13.95/6.04  % (3689816)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1068345498:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/28Mi)
% 13.95/6.04  % (3689816)Instruction limit reached! 
% 13.95/6.04  % (3689816)------------------------------
% 13.95/6.04  % (3689816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/6.04  % (3689816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/6.04  % (3689816)CaDiCaL version: 2.1.3
% 13.95/6.04  % (3689816)Termination reason: Instruction limit
% 13.95/6.04  % (3689816)Termination phase: shuffling
% 13.95/6.04  % (3689816)Time elapsed: 0.024 s
% 13.95/6.04  % (3689816)Peak memory usage: 24 MB
% 13.95/6.04  % (3689816)Instructions burned: 30 (million)
% 13.95/6.04  % (3689800)Instruction limit reached! 
% 13.95/6.04  % (3689800)------------------------------
% 13.95/6.04  % (3689800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/6.04  % (3689800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/6.18  % (3689800)CaDiCaL version: 2.1.3
% 14.32/6.18  % (3689800)Termination reason: Instruction limit
% 14.32/6.18  % (3689800)Termination phase: shuffling
% 14.32/6.18  % (3689800)Time elapsed: 0.230 s
% 14.32/6.18  % (3689800)Peak memory usage: 30 MB
% 14.32/6.18  % (3689800)Instructions burned: 377 (million)
% 14.32/6.18  % (3689818)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 14.32/6.18  % (3689818)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3429234: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)
% 14.32/6.18  % (3689819)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=2480958470:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2983 on theBenchmark for (2983ds/340Mi)
% 14.32/6.18  % (3689801)Instruction limit reached! 
% 14.32/6.18  % (3689801)------------------------------
% 14.32/6.18  % (3689801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/6.18  % (3689801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/6.18  % (3689801)CaDiCaL version: 2.1.3
% 14.32/6.18  % (3689801)Termination reason: Instruction limit
% 14.32/6.18  % (3689801)Termination phase: shuffling
% 14.32/6.18  % (3689801)Time elapsed: 0.245 s
% 14.32/6.18  % (3689801)Peak memory usage: 32 MB
% 14.32/6.18  % (3689801)Instructions burned: 497 (million)
% 14.32/6.18  % (3689786)Instruction limit reached! 
% 14.32/6.18  % (3689786)------------------------------
% 14.32/6.18  % (3689786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/6.18  % (3689786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/6.18  % (3689786)CaDiCaL version: 2.1.3
% 14.32/6.18  % (3689786)Termination reason: Instruction limit
% 14.32/6.18  % (3689786)Termination phase: shuffling
% 14.32/6.18  % (3689786)Time elapsed: 0.391 s
% 14.32/6.18  % (3689786)Peak memory usage: 33 MB
% 14.32/6.18  % (3689786)Instructions burned: 572 (million)
% 14.32/6.18  % (3689779)Instruction limit reached! 
% 14.32/6.18  % (3689779)------------------------------
% 14.32/6.18  % (3689779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/6.18  % (3689779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/6.18  % (3689779)CaDiCaL version: 2.1.3
% 14.32/6.18  % (3689779)Termination reason: Instruction limit
% 14.32/6.18  % (3689779)Termination phase: Property scanning
% 14.32/6.18  % (3689779)Time elapsed: 0.496 s
% 14.32/6.18  % (3689779)Peak memory usage: 36 MB
% 14.32/6.18  % (3689779)Instructions burned: 874 (million)
% 14.32/6.18  % (3689824)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 14.32/6.18  % (3689813)Instruction limit reached! 
% 14.32/6.18  % (3689813)------------------------------
% 14.32/6.18  % (3689813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/6.18  % (3689813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/6.18  % (3689813)CaDiCaL version: 2.1.3
% 14.32/6.18  % (3689813)Termination reason: Instruction limit
% 14.32/6.18  % (3689813)Termination phase: shuffling
% 14.32/6.18  % (3689813)Time elapsed: 0.127 s
% 14.32/6.18  % (3689813)Peak memory usage: 32 MB
% 14.32/6.18  % (3689813)Instructions burned: 341 (million)
% 14.32/6.18  % (3689824)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=477845936:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/373Mi)
% 14.32/6.18  % (3689823)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=116738064:i=227:sd=1:bd=all:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/227Mi)
% 14.32/6.18  % (3689825)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3088965828:i=116:ep=RSTC:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/116Mi)
% 14.32/6.18  % (3689827)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1167256354:i=575:rtra=on_2982 on theBenchmark for (2982ds/575Mi)
% 14.32/6.18  % (3689818)Instruction limit reached! 
% 14.32/6.18  % (3689818)------------------------------
% 14.32/6.18  % (3689818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/6.18  % (3689818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/6.18  % (3689818)CaDiCaL version: 2.1.3
% 15.97/6.51  % (3689818)Termination reason: Instruction limit
% 15.97/6.51  % (3689818)Termination phase: shuffling
% 15.97/6.51  % (3689818)Time elapsed: 0.077 s
% 15.97/6.51  % (3689818)Peak memory usage: 27 MB
% 15.97/6.51  % (3689818)Instructions burned: 137 (million)
% 15.97/6.51  % (3689839)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3292809346: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)
% 15.97/6.51  % (3689825)Instruction limit reached! 
% 15.97/6.51  % (3689825)------------------------------
% 15.97/6.51  % (3689825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/6.51  % (3689825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/6.51  % (3689825)CaDiCaL version: 2.1.3
% 15.97/6.51  % (3689825)Termination reason: Instruction limit
% 15.97/6.51  % (3689825)Termination phase: shuffling
% 15.97/6.51  % (3689825)Time elapsed: 0.065 s
% 15.97/6.51  % (3689825)Peak memory usage: 27 MB
% 15.97/6.51  % (3689825)Instructions burned: 117 (million)
% 15.97/6.51  % (3689844)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=4288346109: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_2982 on theBenchmark for (2982ds/9840Mi)
% 15.97/6.51  % (3689823)Instruction limit reached! 
% 15.97/6.51  % (3689823)------------------------------
% 15.97/6.51  % (3689823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/6.51  % (3689823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/6.51  % (3689823)CaDiCaL version: 2.1.3
% 15.97/6.51  % (3689823)Termination reason: Instruction limit
% 15.97/6.51  % (3689823)Termination phase: shuffling
% 15.97/6.51  % (3689823)Time elapsed: 0.119 s
% 15.97/6.51  % (3689823)Peak memory usage: 28 MB
% 15.97/6.51  % (3689823)Instructions burned: 227 (million)
% 15.97/6.51  % (3689846)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3273046584:i=421:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/421Mi)
% 15.97/6.51  % (3689819)Instruction limit reached! 
% 15.97/6.51  % (3689819)------------------------------
% 15.97/6.51  % (3689819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/6.51  % (3689819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/6.51  % (3689819)CaDiCaL version: 2.1.3
% 15.97/6.51  % (3689819)Termination reason: Instruction limit
% 15.97/6.51  % (3689819)Termination phase: shuffling
% 15.97/6.51  % (3689819)Time elapsed: 0.214 s
% 15.97/6.51  % (3689819)Peak memory usage: 32 MB
% 15.97/6.51  % (3689819)Instructions burned: 349 (million)
% 15.97/6.51  % (3689824)Instruction limit reached! 
% 15.97/6.51  % (3689824)------------------------------
% 15.97/6.51  % (3689824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/6.51  % (3689824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/6.51  % (3689824)CaDiCaL version: 2.1.3
% 15.97/6.51  % (3689824)Termination reason: Instruction limit
% 15.97/6.51  % (3689824)Termination phase: shuffling
% 15.97/6.51  % (3689824)Time elapsed: 0.192 s
% 15.97/6.51  % (3689824)Peak memory usage: 32 MB
% 15.97/6.51  % (3689824)Instructions burned: 374 (million)
% 15.97/6.51  % (3689848)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.97/6.51  % (3689839)Instruction limit reached! 
% 15.97/6.51  % (3689839)------------------------------
% 15.97/6.51  % (3689839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/6.51  % (3689839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/6.51  % (3689839)CaDiCaL version: 2.1.3
% 15.97/6.51  % (3689839)Termination reason: Instruction limit
% 15.97/6.51  % (3689839)Termination phase: shuffling
% 15.97/6.51  % (3689839)Time elapsed: 0.132 s
% 15.97/6.51  % (3689839)Peak memory usage: 29 MB
% 15.97/6.51  % (3689839)Instructions burned: 270 (million)
% 15.97/6.51  % (3689848)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=1828941098:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/270Mi)
% 15.97/6.51  % (3689827)Instruction limit reached! 
% 15.97/6.51  % (3689827)------------------------------
% 15.97/6.51  % (3689827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/6.70  % (3689827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/6.70  % (3689827)CaDiCaL version: 2.1.3
% 17.48/6.70  % (3689827)Termination reason: Instruction limit
% 17.48/6.70  % (3689827)Termination phase: shuffling
% 17.48/6.70  % (3689827)Time elapsed: 0.192 s
% 17.48/6.70  % (3689827)Peak memory usage: 34 MB
% 17.48/6.70  % (3689827)Instructions burned: 577 (million)
% 17.48/6.70  % (3689850)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 17.48/6.70  % (3689850)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
% 17.48/6.70  % (3689849)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3785887154:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/31Mi)
% 17.48/6.70  % (3689850)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=3959487731:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2980 on theBenchmark for (2980ds/1440Mi)
% 17.48/6.70  % (3689852)dis+10_2_sil=128000:si=on:random_seed=3087052098:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2980 on theBenchmark for (2980ds/339Mi)
% 17.48/6.70  % (3689849)Instruction limit reached! 
% 17.48/6.70  % (3689849)------------------------------
% 17.48/6.70  % (3689849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/6.70  % (3689849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/6.70  % (3689849)CaDiCaL version: 2.1.3
% 17.48/6.70  % (3689849)Termination reason: Instruction limit
% 17.48/6.70  % (3689849)Termination phase: shuffling
% 17.48/6.70  % (3689849)Time elapsed: 0.024 s
% 17.48/6.70  % (3689849)Peak memory usage: 24 MB
% 17.48/6.70  % (3689849)Instructions burned: 32 (million)
% 17.48/6.70  % (3689856)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=653528725:i=111:add=on:fgj=on:rtra=on:fdi=1024_2980 on theBenchmark for (2980ds/111Mi)
% 17.48/6.70  % (3689852)Instruction limit reached! 
% 17.48/6.70  % (3689852)------------------------------
% 17.48/6.70  % (3689852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/6.70  % (3689852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/6.70  % (3689852)CaDiCaL version: 2.1.3
% 17.48/6.70  % (3689852)Termination reason: Instruction limit
% 17.48/6.70  % (3689852)Termination phase: shuffling
% 17.48/6.70  % (3689852)Time elapsed: 0.087 s
% 17.48/6.70  % (3689852)Peak memory usage: 30 MB
% 17.48/6.70  % (3689852)Instructions burned: 340 (million)
% 17.48/6.70  % (3689858)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=2470151545: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)
% 17.48/6.70  % (3689856)Instruction limit reached! 
% 17.48/6.70  % (3689856)------------------------------
% 17.48/6.70  % (3689856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/6.70  % (3689856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/6.70  % (3689856)CaDiCaL version: 2.1.3
% 17.48/6.70  % (3689856)Termination reason: Instruction limit
% 17.48/6.70  % (3689856)Termination phase: shuffling
% 17.48/6.70  % (3689856)Time elapsed: 0.061 s
% 17.48/6.70  % (3689856)Peak memory usage: 26 MB
% 17.48/6.70  % (3689856)Instructions burned: 113 (million)
% 17.48/6.70  % (3689848)Instruction limit reached! 
% 17.48/6.70  % (3689848)------------------------------
% 17.48/6.70  % (3689848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/6.70  % (3689848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/6.70  % (3689848)CaDiCaL version: 2.1.3
% 17.48/6.70  % (3689848)Termination reason: Instruction limit
% 17.48/6.70  % (3689848)Termination phase: shuffling
% 17.48/6.70  % (3689848)Time elapsed: 0.129 s
% 17.48/6.70  % (3689848)Peak memory usage: 29 MB
% 17.48/6.70  % (3689848)Instructions burned: 272 (million)
% 17.48/6.70  % (3689860)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=3319336919:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/136Mi)
% 17.48/6.70  % (3689861)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=20306379:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/232Mi)
% 19.19/6.80  % (3689858)Instruction limit reached! 
% 19.19/6.80  % (3689858)------------------------------
% 19.19/6.80  % (3689858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.19/6.80  % (3689858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/6.80  % (3689858)CaDiCaL version: 2.1.3
% 19.19/6.80  % (3689858)Termination reason: Instruction limit
% 19.19/6.80  % (3689858)Termination phase: shuffling
% 19.19/6.80  % (3689858)Time elapsed: 0.038 s
% 19.19/6.80  % (3689858)Peak memory usage: 26 MB
% 19.19/6.80  % (3689858)Instructions burned: 126 (million)
% 19.19/6.80  % (3689864)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=2337969134:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2979 on theBenchmark for (2979ds/1254Mi)
% 19.19/6.80  % (3689846)Instruction limit reached! 
% 19.19/6.80  % (3689846)------------------------------
% 19.19/6.80  % (3689846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.19/6.80  % (3689846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/6.80  % (3689846)CaDiCaL version: 2.1.3
% 19.19/6.80  % (3689846)Termination reason: Instruction limit
% 19.19/6.80  % (3689846)Termination phase: shuffling
% 19.19/6.80  % (3689846)Time elapsed: 0.243 s
% 19.19/6.80  % (3689846)Peak memory usage: 31 MB
% 19.19/6.80  % (3689846)Instructions burned: 423 (million)
% 19.19/6.80  % (3689866)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 19.19/6.80  % (3689866)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=3289926768:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2978 on theBenchmark for (2978ds/281Mi)
% 19.19/6.80  % (3689860)Instruction limit reached! 
% 19.19/6.80  % (3689860)------------------------------
% 19.19/6.80  % (3689860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.19/6.80  % (3689860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/6.80  % (3689860)CaDiCaL version: 2.1.3
% 19.19/6.80  % (3689860)Termination reason: Instruction limit
% 19.19/6.80  % (3689860)Termination phase: shuffling
% 19.19/6.80  % (3689860)Time elapsed: 0.072 s
% 19.19/6.80  % (3689860)Peak memory usage: 27 MB
% 19.19/6.80  % (3689860)Instructions burned: 136 (million)
% 19.19/6.80  % (3689868)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=400610246:i=619:add=on:rtra=on_2978 on theBenchmark for (2978ds/619Mi)
% 19.19/6.80  % (3689861)Instruction limit reached! 
% 19.19/6.80  % (3689861)------------------------------
% 19.19/6.80  % (3689861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.19/6.80  % (3689861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/6.80  % (3689861)CaDiCaL version: 2.1.3
% 19.19/6.80  % (3689861)Termination reason: Instruction limit
% 19.19/6.80  % (3689861)Termination phase: shuffling
% 19.19/6.80  % (3689861)Time elapsed: 0.113 s
% 19.19/6.80  % (3689861)Peak memory usage: 28 MB
% 19.19/6.80  % (3689861)Instructions burned: 233 (million)
% 19.19/6.80  % (3689870)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=1348511368:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/865Mi)
% 19.19/6.80  % (3689866)Instruction limit reached! 
% 19.19/6.80  % (3689866)------------------------------
% 19.19/6.80  % (3689866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.19/6.80  % (3689866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/6.80  % (3689866)CaDiCaL version: 2.1.3
% 19.19/6.80  % (3689866)Termination reason: Instruction limit
% 19.19/6.80  % (3689866)Termination phase: shuffling
% 19.19/6.80  % (3689866)Time elapsed: 0.139 s
% 19.19/6.80  % (3689866)Peak memory usage: 31 MB
% 19.19/6.80  % (3689866)Instructions burned: 282 (million)
% 19.19/6.80  % (3689872)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4213832798:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/212Mi)
% 19.19/6.80  % (3689872)Instruction limit reached! 
% 19.19/6.80  % (3689872)------------------------------
% 19.19/6.80  % (3689872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.19/6.80  % (3689872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/7.13  % (3689872)CaDiCaL version: 2.1.3
% 21.32/7.13  % (3689872)Termination reason: Instruction limit
% 21.32/7.13  % (3689872)Termination phase: shuffling
% 21.32/7.13  % (3689872)Time elapsed: 0.105 s
% 21.32/7.13  % (3689872)Peak memory usage: 28 MB
% 21.32/7.13  % (3689872)Instructions burned: 213 (million)
% 21.32/7.13  % (3689864)Instruction limit reached! 
% 21.32/7.13  % (3689864)------------------------------
% 21.32/7.13  % (3689864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.32/7.13  % (3689864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/7.13  % (3689864)CaDiCaL version: 2.1.3
% 21.32/7.13  % (3689864)Termination reason: Instruction limit
% 21.32/7.13  % (3689864)Termination phase: Property scanning
% 21.32/7.13  % (3689864)Time elapsed: 0.320 s
% 21.32/7.13  % (3689864)Peak memory usage: 49 MB
% 21.32/7.13  % (3689864)Instructions burned: 1254 (million)
% 21.32/7.13  % (3689874)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1250715886:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/130Mi)
% 21.32/7.13  % (3689875)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3411557386:st=1.5:i=346:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/346Mi)
% 21.32/7.13  % (3689868)Instruction limit reached! 
% 21.32/7.13  % (3689868)------------------------------
% 21.32/7.13  % (3689868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.32/7.13  % (3689868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/7.13  % (3689868)CaDiCaL version: 2.1.3
% 21.32/7.13  % (3689868)Termination reason: Instruction limit
% 21.32/7.13  % (3689868)Termination phase: shuffling
% 21.32/7.13  % (3689868)Time elapsed: 0.328 s
% 21.32/7.13  % (3689868)Peak memory usage: 37 MB
% 21.32/7.13  % (3689868)Instructions burned: 621 (million)
% 21.32/7.13  % (3689874)Instruction limit reached! 
% 21.32/7.13  % (3689874)------------------------------
% 21.32/7.13  % (3689874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.32/7.13  % (3689874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/7.13  % (3689874)CaDiCaL version: 2.1.3
% 21.32/7.13  % (3689874)Termination reason: Instruction limit
% 21.32/7.13  % (3689874)Termination phase: shuffling
% 21.32/7.13  % (3689874)Time elapsed: 0.068 s
% 21.32/7.13  % (3689874)Peak memory usage: 26 MB
% 21.32/7.13  % (3689874)Instructions burned: 131 (million)
% 21.32/7.13  % (3689878)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2099774665:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2975 on theBenchmark for (2975ds/152Mi)
% 21.32/7.13  % (3689879)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3088367045:i=75:ep=R:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/75Mi)
% 21.32/7.13  % (3689875)Instruction limit reached! 
% 21.32/7.13  % (3689875)------------------------------
% 21.32/7.13  % (3689875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.32/7.13  % (3689875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/7.13  % (3689875)CaDiCaL version: 2.1.3
% 21.32/7.13  % (3689875)Termination reason: Instruction limit
% 21.32/7.13  % (3689875)Termination phase: shuffling
% 21.32/7.13  % (3689875)Time elapsed: 0.091 s
% 21.32/7.13  % (3689875)Peak memory usage: 32 MB
% 21.32/7.13  % (3689875)Instructions burned: 348 (million)
% 21.32/7.13  % (3689882)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=374921542:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/387Mi)
% 21.32/7.13  % (3689879)Instruction limit reached! 
% 21.32/7.13  % (3689879)------------------------------
% 21.32/7.13  % (3689879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.32/7.13  % (3689879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/7.13  % (3689879)CaDiCaL version: 2.1.3
% 21.32/7.13  % (3689879)Termination reason: Instruction limit
% 21.32/7.13  % (3689879)Termination phase: shuffling
% 21.32/7.13  % (3689879)Time elapsed: 0.044 s
% 21.32/7.13  % (3689879)Peak memory usage: 26 MB
% 21.32/7.13  % (3689879)Instructions burned: 77 (million)
% 21.32/7.13  % (3689884)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=2829809646:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2974 on theBenchmark for (2974ds/148Mi)
% 21.32/7.13  % (3689878)Instruction limit reached! 
% 21.32/7.13  % (3689878)------------------------------
% 22.04/7.21  % (3689878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689878)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689878)Termination reason: Instruction limit
% 22.04/7.21  % (3689878)Termination phase: shuffling
% 22.04/7.21  % (3689878)Time elapsed: 0.079 s
% 22.04/7.21  % (3689878)Peak memory usage: 27 MB
% 22.04/7.21  % (3689878)Instructions burned: 152 (million)
% 22.04/7.21  % (3689850)Instruction limit reached! 
% 22.04/7.21  % (3689850)------------------------------
% 22.04/7.21  % (3689850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689850)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689850)Termination reason: Instruction limit
% 22.04/7.21  % (3689850)Termination phase: Naming
% 22.04/7.21  % (3689850)Time elapsed: 0.664 s
% 22.04/7.21  % (3689850)Peak memory usage: 42 MB
% 22.04/7.21  % (3689850)Instructions burned: 1441 (million)
% 22.04/7.21  % (3689886)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=499724927:i=161:piset=and:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/161Mi)
% 22.04/7.21  % (3689870)Instruction limit reached! 
% 22.04/7.21  % (3689870)------------------------------
% 22.04/7.21  % (3689870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689870)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689870)Termination reason: Instruction limit
% 22.04/7.21  % (3689870)Termination phase: shuffling
% 22.04/7.21  % (3689870)Time elapsed: 0.408 s
% 22.04/7.21  % (3689870)Peak memory usage: 44 MB
% 22.04/7.21  % (3689870)Instructions burned: 866 (million)
% 22.04/7.21  % (3689887)lrs+10_1_sil=128000:si=on:random_seed=3235032508:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/888Mi)
% 22.04/7.21  % (3689882)Instruction limit reached! 
% 22.04/7.21  % (3689882)------------------------------
% 22.04/7.21  % (3689882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689882)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689882)Termination reason: Instruction limit
% 22.04/7.21  % (3689882)Termination phase: shuffling
% 22.04/7.21  % (3689882)Time elapsed: 0.103 s
% 22.04/7.21  % (3689882)Peak memory usage: 33 MB
% 22.04/7.21  % (3689882)Instructions burned: 390 (million)
% 22.04/7.21  % (3689889)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=232812960:i=136:add=on:ins=4:rtra=on:sup=off_2973 on theBenchmark for (2973ds/136Mi)
% 22.04/7.21  % (3689892)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=1455702698:i=88:s2at=3:nm=2:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/88Mi)
% 22.04/7.21  % (3689884)Instruction limit reached! 
% 22.04/7.21  % (3689884)------------------------------
% 22.04/7.21  % (3689884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689884)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689884)Termination reason: Instruction limit
% 22.04/7.21  % (3689884)Termination phase: shuffling
% 22.04/7.21  % (3689884)Time elapsed: 0.077 s
% 22.04/7.21  % (3689884)Peak memory usage: 27 MB
% 22.04/7.21  % (3689884)Instructions burned: 148 (million)
% 22.04/7.21  % (3689892)Instruction limit reached! 
% 22.04/7.21  % (3689892)------------------------------
% 22.04/7.21  % (3689892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689892)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689892)Termination reason: Instruction limit
% 22.04/7.21  % (3689892)Termination phase: shuffling
% 22.04/7.21  % (3689892)Time elapsed: 0.029 s
% 22.04/7.21  % (3689892)Peak memory usage: 26 MB
% 22.04/7.21  % (3689892)Instructions burned: 91 (million)
% 22.04/7.21  % (3689894)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1055870546:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2973 on theBenchmark for (2973ds/93Mi)
% 22.04/7.21  % (3689896)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2515469917:i=2186:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/2186Mi)
% 22.04/7.21  % (3689886)Instruction limit reached! 
% 22.04/7.21  % (3689886)------------------------------
% 22.04/7.21  % (3689886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689886)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689886)Termination reason: Instruction limit
% 22.04/7.21  % (3689886)Termination phase: shuffling
% 22.04/7.21  % (3689886)Time elapsed: 0.083 s
% 22.04/7.21  % (3689886)Peak memory usage: 27 MB
% 22.04/7.21  % (3689886)Instructions burned: 163 (million)
% 22.04/7.21  % (3689889)Instruction limit reached! 
% 22.04/7.21  % (3689889)------------------------------
% 22.04/7.21  % (3689889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689889)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689889)Termination reason: Instruction limit
% 22.04/7.21  % (3689889)Termination phase: shuffling
% 22.04/7.21  % (3689889)Time elapsed: 0.072 s
% 22.04/7.21  % (3689889)Peak memory usage: 26 MB
% 22.04/7.21  % (3689889)Instructions burned: 137 (million)
% 22.04/7.21  % (3689898)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3108713317:s2a=on:i=240:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/240Mi)
% 22.04/7.21  % (3689899)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2525782794:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/805Mi)
% 22.04/7.21  % (3689894)Instruction limit reached! 
% 22.04/7.21  % (3689894)------------------------------
% 22.04/7.21  % (3689894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689894)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689894)Termination reason: Instruction limit
% 22.04/7.21  % (3689894)Termination phase: shuffling
% 22.04/7.21  % (3689894)Time elapsed: 0.053 s
% 22.04/7.21  % (3689894)Peak memory usage: 26 MB
% 22.04/7.21  % (3689894)Instructions burned: 95 (million)
% 22.04/7.21  % (3689902)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 22.04/7.21  % (3689902)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=1292757499:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2972 on theBenchmark for (2972ds/391Mi)
% 22.04/7.21  % (3689898)Instruction limit reached! 
% 22.04/7.21  % (3689898)------------------------------
% 22.04/7.21  % (3689898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689898)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689898)Termination reason: Instruction limit
% 22.04/7.21  % (3689898)Termination phase: shuffling
% 22.04/7.21  % (3689898)Time elapsed: 0.117 s
% 22.04/7.21  % (3689898)Peak memory usage: 28 MB
% 22.04/7.21  % (3689898)Instructions burned: 242 (million)
% 22.04/7.21  % (3689904)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3584363106:i=355:av=off:fsr=off:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/355Mi)
% 22.04/7.21  % (3689902)Instruction limit reached! 
% 22.04/7.21  % (3689902)------------------------------
% 22.04/7.21  % (3689902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689902)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689902)Termination reason: Instruction limit
% 22.04/7.21  % (3689902)Termination phase: shuffling
% 22.04/7.21  % (3689902)Time elapsed: 0.188 s
% 22.04/7.21  % (3689902)Peak memory usage: 33 MB
% 22.04/7.21  % (3689902)Instructions burned: 393 (million)
% 22.04/7.21  % (3689906)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2392594089:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/314Mi)
% 22.04/7.21  % (3689887)Instruction limit reached! 
% 22.04/7.21  % (3689887)------------------------------
% 22.04/7.21  % (3689887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689887)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689887)Termination reason: Instruction limit
% 22.04/7.21  % (3689887)Termination phase: Property scanning
% 22.04/7.21  % (3689887)Time elapsed: 0.400 s
% 22.04/7.21  % (3689887)Peak memory usage: 36 MB
% 22.04/7.21  % (3689887)Instructions burned: 888 (million)
% 22.04/7.21  % (3689904)Instruction limit reached! 
% 22.04/7.21  % (3689904)------------------------------
% 22.04/7.21  % (3689904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.21  % (3689904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.21  % (3689904)CaDiCaL version: 2.1.3
% 22.04/7.21  % (3689904)Termination reason: Instruction limit
% 22.04/7.21  % (3689904)Termination phase: shuffling
% 22.04/7.21  % (3689904)Time elapsed: 0.168 s
% 22.04/7.21  % (3689904)Peak memory usage: 30 MB
% 22.04/7.21  % (3689904)Instructions burned: 357 (million)
% 22.04/7.21  % (3689908)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=843176450:s2a=on:i=251:fsr=off:rtra=on_2969 on theBenchmark for (2969ds/251Mi)
% 22.04/7.21  % (3689909)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=2829133409: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_2969 on theBenchmark for (2969ds/2470Mi)
% 22.04/7.21  % (3689796) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3689658-3689796"...
% 22.04/7.21  % (3689796)...printing done.
% 22.04/7.21  % (3689796)Refutation found. Thanks to Tanya!
% 22.04/7.21  % SZS status Theorem for theBenchmark
% 22.04/7.21  % SZS output start Proof for theBenchmark
% See solution above
% 22.04/7.23  % (3689796)------------------------------
% 22.04/7.23  % (3689796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.04/7.23  % (3689796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.04/7.23  % (3689796)CaDiCaL version: 2.1.3
% 22.04/7.23  % (3689796)Termination reason: Refutation
% 22.04/7.23  % (3689796)Time elapsed: 1.667 s
% 22.04/7.23  % (3689796)Peak memory usage: 53 MB
% 22.04/7.23  % (3689796)Instructions burned: 3236 (million)
% 22.04/7.23  % (3689658)Success in time 3.098 s
% 22.04/7.23  % Vampire exiting
%------------------------------------------------------------------------------