TSTP Solution File: ITP262^3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP262^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:38:46 EDT 2024

% Result   : Theorem 36.74s 5.73s
% Output   : Refutation 36.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      : 4112
% Syntax   : Number of formulae    : 4153 (  23 unt;4102 typ;   0 def)
%            Number of atoms       :  192 (  72 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  469 (  44   ~;  28   |;   6   &; 382   @)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :   95 (  94 usr)
%            Number of type conns  : 10544 (10544   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 3918 (3915 usr;  62 con; 0-8 aty)
%            Number of variables   :   47 (   0   ^  35   !;  11   ?;  47   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

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

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

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

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

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

thf(type_def_15,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_16,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_17,type,
    set_fi4554929511873752355omplex: $tType ).

thf(type_def_18,type,
    filter6041513312241820739omplex: $tType ).

thf(type_def_19,type,
    set_fi7789364187291644575l_real: $tType ).

thf(type_def_20,type,
    filter2146258269922977983l_real: $tType ).

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

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

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

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

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

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

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

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

thf(type_def_29,type,
    filter1242075044329608583at_nat: $tType ).

thf(type_def_30,type,
    set_Pr5085853215250843933omplex: $tType ).

thf(type_def_31,type,
    set_Pr6218003697084177305l_real: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_47,type,
    set_Pr958786334691620121nt_int: $tType ).

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

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

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

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

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

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

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

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

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

thf(type_def_57,type,
    list_P4002435161011370285od_o_o: $tType ).

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

thf(type_def_59,type,
    list_P3795440434834930179_o_int: $tType ).

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

thf(type_def_61,type,
    list_P6285523579766656935_o_nat: $tType ).

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

thf(type_def_63,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_64,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(type_def_65,type,
    list_P7333126701944960589_nat_o: $tType ).

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

thf(type_def_67,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(type_def_68,type,
    produc8025551001238799321T_VEBT: $tType ).

thf(type_def_69,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_70,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_71,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_72,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_73,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_74,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_75,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_76,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_77,type,
    option4927543243414619207at_nat: $tType ).

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

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

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

thf(type_def_81,type,
    option6357759511663192854e_term: $tType ).

thf(type_def_82,type,
    produc8763457246119570046nteger: $tType ).

thf(type_def_83,type,
    produc7773217078559923341nt_int: $tType ).

thf(type_def_84,type,
    produc4953844613479565601on_nat: $tType ).

thf(type_def_85,type,
    produc2233624965454879586on_nat: $tType ).

thf(type_def_86,type,
    produc8306885398267862888on_nat: $tType ).

thf(type_def_87,type,
    produc3447558737645232053on_num: $tType ).

thf(type_def_88,type,
    produc7036089656553540234on_num: $tType ).

thf(type_def_89,type,
    produc1193250871479095198on_num: $tType ).

thf(type_def_90,type,
    produc6241069584506657477e_term: $tType ).

thf(type_def_91,type,
    produc1908205239877642774nteger: $tType ).

thf(type_def_92,type,
    produc8551481072490612790e_term: $tType ).

thf(type_def_93,type,
    produc2285326912895808259nt_int: $tType ).

thf(type_def_94,type,
    produc6121120109295599847at_nat: $tType ).

thf(type_def_95,type,
    produc5491161045314408544at_nat: $tType ).

thf(type_def_96,type,
    produc5542196010084753463at_nat: $tType ).

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

thf(type_def_98,type,
    produc4411394909380815293omplex: $tType ).

thf(type_def_99,type,
    produc2422161461964618553l_real: $tType ).

thf(func_def_0,type,
    produc5542196010084753463at_nat: $tType ).

thf(func_def_1,type,
    produc1908205239877642774nteger: $tType ).

thf(func_def_2,type,
    produc5491161045314408544at_nat: $tType ).

thf(func_def_3,type,
    produc2285326912895808259nt_int: $tType ).

thf(func_def_4,type,
    produc8763457246119570046nteger: $tType ).

thf(func_def_5,type,
    produc7773217078559923341nt_int: $tType ).

thf(func_def_6,type,
    produc1193250871479095198on_num: $tType ).

thf(func_def_7,type,
    produc8306885398267862888on_nat: $tType ).

thf(func_def_8,type,
    produc6121120109295599847at_nat: $tType ).

thf(func_def_9,type,
    produc7036089656553540234on_num: $tType ).

thf(func_def_10,type,
    produc2233624965454879586on_nat: $tType ).

thf(func_def_11,type,
    produc6241069584506657477e_term: $tType ).

thf(func_def_12,type,
    set_fi4554929511873752355omplex: $tType ).

thf(func_def_13,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(func_def_14,type,
    produc8551481072490612790e_term: $tType ).

thf(func_def_15,type,
    option6357759511663192854e_term: $tType ).

thf(func_def_16,type,
    produc3447558737645232053on_num: $tType ).

thf(func_def_17,type,
    produc4953844613479565601on_nat: $tType ).

thf(func_def_18,type,
    set_fi7789364187291644575l_real: $tType ).

thf(func_def_19,type,
    filter6041513312241820739omplex: $tType ).

thf(func_def_20,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(func_def_21,type,
    list_P4547456442757143711BT_int: $tType ).

thf(func_def_22,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(func_def_23,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(func_def_24,type,
    set_Pr5085853215250843933omplex: $tType ).

thf(func_def_25,type,
    produc8923325533196201883nteger: $tType ).

thf(func_def_26,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(func_def_27,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(func_def_28,type,
    filter2146258269922977983l_real: $tType ).

thf(func_def_29,type,
    option4927543243414619207at_nat: $tType ).

thf(func_def_30,type,
    filter1242075044329608583at_nat: $tType ).

thf(func_def_31,type,
    set_Pr6218003697084177305l_real: $tType ).

thf(func_def_32,type,
    produc9072475918466114483BT_nat: $tType ).

thf(func_def_33,type,
    produc4894624898956917775BT_int: $tType ).

thf(func_def_34,type,
    produc8025551001238799321T_VEBT: $tType ).

thf(func_def_35,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(func_def_36,type,
    produc4411394909380815293omplex: $tType ).

thf(func_def_37,type,
    list_P7333126701944960589_nat_o: $tType ).

thf(func_def_38,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(func_def_39,type,
    list_P3795440434834930179_o_int: $tType ).

thf(func_def_40,type,
    set_list_VEBT_VEBT: $tType ).

thf(func_def_41,type,
    produc334124729049499915VEBT_o: $tType ).

thf(func_def_42,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(func_def_43,type,
    produc6271795597528267376eger_o: $tType ).

thf(func_def_44,type,
    produc2422161461964618553l_real: $tType ).

thf(func_def_45,type,
    product_prod_num_num: $tType ).

thf(func_def_46,type,
    product_prod_nat_num: $tType ).

thf(func_def_47,type,
    product_prod_nat_nat: $tType ).

thf(func_def_48,type,
    product_prod_int_int: $tType ).

thf(func_def_49,type,
    list_P4002435161011370285od_o_o: $tType ).

thf(func_def_50,type,
    set_list_complex: $tType ).

thf(func_def_51,type,
    set_set_complex: $tType ).

thf(func_def_52,type,
    list_VEBT_VEBT: $tType ).

thf(func_def_53,type,
    set_list_nat: $tType ).

thf(func_def_54,type,
    set_list_int: $tType ).

thf(func_def_55,type,
    product_prod_nat_o: $tType ).

thf(func_def_56,type,
    product_prod_o_nat: $tType ).

thf(func_def_57,type,
    product_prod_o_int: $tType ).

thf(func_def_58,type,
    list_set_nat: $tType ).

thf(func_def_59,type,
    set_VEBT_VEBT: $tType ).

thf(func_def_60,type,
    set_set_nat: $tType ).

thf(func_def_61,type,
    set_set_int: $tType ).

thf(func_def_62,type,
    set_Code_integer: $tType ).

thf(func_def_63,type,
    set_Product_unit: $tType ).

thf(func_def_64,type,
    set_Extended_enat: $tType ).

thf(func_def_65,type,
    list_complex: $tType ).

thf(func_def_66,type,
    set_list_o: $tType ).

thf(func_def_67,type,
    product_prod_o_o: $tType ).

thf(func_def_68,type,
    set_complex: $tType ).

thf(func_def_69,type,
    filter_real: $tType ).

thf(func_def_70,type,
    option_num: $tType ).

thf(func_def_71,type,
    option_nat: $tType ).

thf(func_def_72,type,
    filter_nat: $tType ).

thf(func_def_73,type,
    set_char: $tType ).

thf(func_def_74,type,
    list_real: $tType ).

thf(func_def_75,type,
    set_real: $tType ).

thf(func_def_76,type,
    list_nat: $tType ).

thf(func_def_77,type,
    list_int: $tType ).

thf(func_def_78,type,
    vEBT_VEBT: $tType ).

thf(func_def_79,type,
    set_rat: $tType ).

thf(func_def_80,type,
    set_num: $tType ).

thf(func_def_81,type,
    set_nat: $tType ).

thf(func_def_82,type,
    set_int: $tType ).

thf(func_def_83,type,
    code_integer: $tType ).

thf(func_def_84,type,
    extended_enat: $tType ).

thf(func_def_85,type,
    list_o: $tType ).

thf(func_def_86,type,
    complex: $tType ).

thf(func_def_87,type,
    set_o: $tType ).

thf(func_def_88,type,
    char: $tType ).

thf(func_def_89,type,
    real: $tType ).

thf(func_def_90,type,
    rat: $tType ).

thf(func_def_91,type,
    num: $tType ).

thf(func_def_92,type,
    nat: $tType ).

thf(func_def_93,type,
    int: $tType ).

thf(func_def_94,type,
    archim7802044766580827645g_real: real > int ).

thf(func_def_95,type,
    archim3151403230148437115or_rat: rat > int ).

thf(func_def_96,type,
    archim6058952711729229775r_real: real > int ).

thf(func_def_97,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(func_def_98,type,
    archim8280529875227126926d_real: real > int ).

thf(func_def_99,type,
    binomial: nat > nat > nat ).

thf(func_def_100,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_101,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_102,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_103,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_104,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_105,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_106,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_107,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_108,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_109,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_110,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_111,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_112,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_113,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_114,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_115,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_116,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_117,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_118,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_119,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_120,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_121,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_122,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_123,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_124,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_125,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_126,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_127,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_128,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_129,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_130,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_131,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_132,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_133,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_134,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_135,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_136,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_137,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_138,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_139,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_140,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_141,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_142,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_143,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_144,type,
    code_negative: num > code_integer ).

thf(func_def_145,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_146,type,
    code_positive: num > code_integer ).

thf(func_def_147,type,
    code_Target_negative: num > int ).

thf(func_def_148,type,
    code_Target_positive: num > int ).

thf(func_def_149,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

thf(func_def_150,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

thf(func_def_151,type,
    comple4887499456419720421f_real: set_real > real ).

thf(func_def_152,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

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

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

thf(func_def_155,type,
    comple1385675409528146559p_real: set_real > real ).

thf(func_def_156,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

thf(func_def_157,type,
    arg: complex > real ).

thf(func_def_158,type,
    cis: real > complex ).

thf(func_def_159,type,
    cnj: complex > complex ).

thf(func_def_160,type,
    complex2: real > real > complex ).

thf(func_def_161,type,
    im: complex > real ).

thf(func_def_162,type,
    re: complex > real ).

thf(func_def_163,type,
    csqrt: complex > complex ).

thf(func_def_164,type,
    imaginary_unit: complex ).

thf(func_def_165,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(func_def_166,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(func_def_167,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_168,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_169,type,
    adjust_mod: int > int > int ).

thf(func_def_170,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_171,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_172,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_173,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_174,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_175,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_176,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_177,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_178,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_179,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_180,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_181,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_182,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_183,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_184,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_185,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_186,type,
    inverse_inverse_real: real > real ).

thf(func_def_187,type,
    at_bot_real: filter_real ).

thf(func_def_188,type,
    at_top_nat: filter_nat ).

thf(func_def_189,type,
    at_top_real: filter_real ).

thf(func_def_190,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_191,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_192,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_193,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_194,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_195,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_196,type,
    filtermap_real_real: ( real > real ) > filter_real > filter_real ).

thf(func_def_197,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

thf(func_def_198,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

thf(func_def_199,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_200,type,
    finite_card_o: set_o > nat ).

thf(func_def_201,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_202,type,
    finite_card_int: set_int > nat ).

thf(func_def_203,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_204,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_205,type,
    finite_card_set_nat: set_set_nat > nat ).

thf(func_def_206,type,
    finite_card_char: set_char > nat ).

thf(func_def_207,type,
    finite_finite_o: set_o > $o ).

thf(func_def_208,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_209,type,
    finite_finite_int: set_int > $o ).

thf(func_def_210,type,
    finite_finite_list_o: set_list_o > $o ).

thf(func_def_211,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(func_def_212,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(func_def_213,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_214,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(func_def_215,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_216,type,
    finite_finite_num: set_num > $o ).

thf(func_def_217,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_218,type,
    finite_finite_real: set_real > $o ).

thf(func_def_219,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

thf(func_def_220,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(func_def_221,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_222,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

thf(func_def_223,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_224,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(func_def_225,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_226,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_227,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_228,type,
    comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).

thf(func_def_229,type,
    comp_int_int_num: ( int > int ) > ( num > int ) > num > int ).

thf(func_def_230,type,
    id_o: $o > $o ).

thf(func_def_231,type,
    id_nat: nat > nat ).

thf(func_def_232,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_233,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_234,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_235,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_236,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_237,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_238,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(func_def_239,type,
    gcd_Gcd_int: set_int > int ).

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

thf(func_def_241,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_242,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_243,type,
    gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_244,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_245,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_246,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_247,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_248,type,
    abs_abs_complex: complex > complex ).

thf(func_def_249,type,
    abs_abs_int: int > int ).

thf(func_def_250,type,
    abs_abs_rat: rat > rat ).

thf(func_def_251,type,
    abs_abs_real: real > real ).

thf(func_def_252,type,
    minus_8727706125548526216plex_o: ( complex > $o ) > ( complex > $o ) > complex > $o ).

thf(func_def_253,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_254,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_255,type,
    minus_711738161318947805_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_256,type,
    minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).

thf(func_def_257,type,
    minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).

thf(func_def_258,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_259,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_260,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_261,type,
    minus_minus_int: int > int > int ).

thf(func_def_262,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_263,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_264,type,
    minus_minus_real: real > real > real ).

thf(func_def_265,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_266,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_267,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_268,type,
    minus_1052850069191792384nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_269,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_270,type,
    minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_271,type,
    one_one_Code_integer: code_integer ).

thf(func_def_272,type,
    one_one_complex: complex ).

thf(func_def_273,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_274,type,
    one_one_int: int ).

thf(func_def_275,type,
    one_one_nat: nat ).

thf(func_def_276,type,
    one_one_rat: rat ).

thf(func_def_277,type,
    one_one_real: real ).

thf(func_def_278,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_279,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_280,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_281,type,
    plus_plus_int: int > int > int ).

thf(func_def_282,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_283,type,
    plus_plus_num: num > num > num ).

thf(func_def_284,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_285,type,
    plus_plus_real: real > real > real ).

thf(func_def_286,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_287,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_288,type,
    sgn_sgn_int: int > int ).

thf(func_def_289,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_290,type,
    sgn_sgn_real: real > real ).

thf(func_def_291,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_292,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_293,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_294,type,
    times_times_int: int > int > int ).

thf(func_def_295,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_296,type,
    times_times_num: num > num > num ).

thf(func_def_297,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_298,type,
    times_times_real: real > real > real ).

thf(func_def_299,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_300,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_301,type,
    uminus_uminus_int: int > int ).

thf(func_def_302,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_303,type,
    uminus_uminus_real: real > real ).

thf(func_def_304,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

thf(func_def_305,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_306,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_307,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_308,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

thf(func_def_309,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_310,type,
    zero_zero_complex: complex ).

thf(func_def_311,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_312,type,
    zero_zero_int: int ).

thf(func_def_313,type,
    zero_zero_nat: nat ).

thf(func_def_314,type,
    zero_zero_rat: rat ).

thf(func_def_315,type,
    zero_zero_real: real ).

thf(func_def_316,type,
    groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_317,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_318,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_319,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_320,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_321,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_322,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_323,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_324,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_325,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_326,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_327,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_328,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_329,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_330,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_331,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_332,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_333,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_334,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_335,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_336,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_337,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_338,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_339,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_340,type,
    groups8255218700646806128omplex: ( set_nat > complex ) > set_set_nat > complex ).

thf(func_def_341,type,
    groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_342,type,
    groups5107569545109728110t_real: ( set_nat > real ) > set_set_nat > real ).

thf(func_def_343,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_344,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_345,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_346,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_347,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_348,type,
    the_int: ( int > $o ) > int ).

thf(func_def_349,type,
    the_real: ( real > $o ) > real ).

thf(func_def_350,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_351,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_352,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_353,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_354,type,
    if_int: $o > int > int > int ).

thf(func_def_355,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_356,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_357,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_358,type,
    if_num: $o > num > num > num ).

thf(func_def_359,type,
    if_option_nat: $o > option_nat > option_nat > option_nat ).

thf(func_def_360,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_361,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_362,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_363,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_364,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_365,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_366,type,
    if_real: $o > real > real > real ).

thf(func_def_367,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_368,type,
    if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_369,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_370,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_371,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_372,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_373,type,
    nat2: int > nat ).

thf(func_def_374,type,
    ring_1_Ints_complex: set_complex ).

thf(func_def_375,type,
    ring_1_Ints_real: set_real ).

thf(func_def_376,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_377,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_378,type,
    ring_1_of_int_int: int > int ).

thf(func_def_379,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_380,type,
    ring_1_of_int_real: int > real ).

thf(func_def_381,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_382,type,
    sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).

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

thf(func_def_384,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_385,type,
    lattic8263393255366662781ax_int: set_int > int ).

thf(func_def_386,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_387,type,
    bfun_nat_real: ( nat > real ) > filter_nat > $o ).

thf(func_def_388,type,
    at_infinity_real: filter_real ).

thf(func_def_389,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_390,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_391,type,
    distinct_int: list_int > $o ).

thf(func_def_392,type,
    distinct_nat: list_nat > $o ).

thf(func_def_393,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_394,type,
    cons_int: int > list_int > list_int ).

thf(func_def_395,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_396,type,
    nil_int: list_int ).

thf(func_def_397,type,
    nil_nat: list_nat ).

thf(func_def_398,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_399,type,
    set_o2: list_o > set_o ).

thf(func_def_400,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_401,type,
    set_int2: list_int > set_int ).

thf(func_def_402,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_403,type,
    set_real2: list_real > set_real ).

thf(func_def_404,type,
    set_set_nat2: list_set_nat > set_set_nat ).

thf(func_def_405,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_406,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_407,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_408,type,
    list_update_complex: list_complex > nat > complex > list_complex ).

thf(func_def_409,type,
    list_update_int: list_int > nat > int > list_int ).

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

thf(func_def_411,type,
    list_update_real: list_real > nat > real > list_real ).

thf(func_def_412,type,
    list_update_set_nat: list_set_nat > nat > set_nat > list_set_nat ).

thf(func_def_413,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_414,type,
    nth_o: list_o > nat > $o ).

thf(func_def_415,type,
    nth_complex: list_complex > nat > complex ).

thf(func_def_416,type,
    nth_int: list_int > nat > int ).

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

thf(func_def_418,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_419,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_420,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_421,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_422,type,
    nth_Pr112076138515278198_nat_o: list_P7333126701944960589_nat_o > nat > product_prod_nat_o ).

thf(func_def_423,type,
    nth_Pr744662078594809490T_VEBT: list_P5647936690300460905T_VEBT > nat > produc8025551001238799321T_VEBT ).

thf(func_def_424,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_425,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_426,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_427,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_428,type,
    nth_real: list_real > nat > real ).

thf(func_def_429,type,
    nth_set_nat: list_set_nat > nat > set_nat ).

thf(func_def_430,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_431,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_432,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_433,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_434,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_435,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_436,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_437,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_438,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_439,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_440,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_441,type,
    remdups_nat: list_nat > list_nat ).

thf(func_def_442,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_443,type,
    replicate_complex: nat > complex > list_complex ).

thf(func_def_444,type,
    replicate_int: nat > int > list_int ).

thf(func_def_445,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_446,type,
    replicate_real: nat > real > list_real ).

thf(func_def_447,type,
    replicate_set_nat: nat > set_nat > list_set_nat ).

thf(func_def_448,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

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

thf(func_def_450,type,
    upto: int > int > list_int ).

thf(func_def_451,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_452,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_453,type,
    suc: nat > nat ).

thf(func_def_454,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_455,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_456,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_457,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_458,type,
    pred: nat > nat ).

thf(func_def_459,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_460,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_461,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_462,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_463,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_464,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_465,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_466,type,
    size_size_list_o: list_o > nat ).

thf(func_def_467,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_468,type,
    size_size_list_int: list_int > nat ).

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

thf(func_def_470,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(func_def_471,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(func_def_472,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(func_def_473,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(func_def_474,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(func_def_475,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_476,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(func_def_477,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_478,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_479,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_480,type,
    size_size_list_real: list_real > nat ).

thf(func_def_481,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

thf(func_def_482,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_483,type,
    size_size_num: num > nat ).

thf(func_def_484,type,
    size_size_option_nat: option_nat > nat ).

thf(func_def_485,type,
    size_size_option_num: option_num > nat ).

thf(func_def_486,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_487,type,
    size_size_char: char > nat ).

thf(func_def_488,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_489,type,
    nat_list_encode: list_nat > nat ).

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

thf(func_def_491,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_492,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_493,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

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

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

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

thf(func_def_497,type,
    root: nat > real > real ).

thf(func_def_498,type,
    sqrt: real > real ).

thf(func_def_499,type,
    bitM: num > num ).

thf(func_def_500,type,
    inc: num > num ).

thf(func_def_501,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_502,type,
    neg_nu7009210354673126013omplex: complex > complex ).

thf(func_def_503,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_504,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(func_def_505,type,
    neg_numeral_dbl_real: real > real ).

thf(func_def_506,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_507,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_508,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_509,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_510,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_511,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_512,type,
    neg_nu8557863876264182079omplex: complex > complex ).

thf(func_def_513,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_514,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_515,type,
    neg_nu8295874005876285629c_real: real > real ).

thf(func_def_516,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_517,type,
    bit0: num > num ).

thf(func_def_518,type,
    bit1: num > num ).

thf(func_def_519,type,
    one: num ).

thf(func_def_520,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_521,type,
    size_num: num > nat ).

thf(func_def_522,type,
    num_of_nat: nat > num ).

thf(func_def_523,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_524,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_525,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_526,type,
    numeral_numeral_int: num > int ).

thf(func_def_527,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_528,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_529,type,
    numeral_numeral_real: num > real ).

thf(func_def_530,type,
    pow: num > num > num ).

thf(func_def_531,type,
    pred_numeral: num > nat ).

thf(func_def_532,type,
    sqr: num > num ).

thf(func_def_533,type,
    none_nat: option_nat ).

thf(func_def_534,type,
    none_num: option_num ).

thf(func_def_535,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_536,type,
    some_nat: nat > option_nat ).

thf(func_def_537,type,
    some_num: num > option_num ).

thf(func_def_538,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_539,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_540,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_541,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_542,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_543,type,
    size_option_nat: ( nat > nat ) > option_nat > nat ).

thf(func_def_544,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_545,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_546,type,
    the_nat: option_nat > nat ).

thf(func_def_547,type,
    the_num: option_num > num ).

thf(func_def_548,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_549,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_550,type,
    bot_bot_nat: nat ).

thf(func_def_551,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_552,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

thf(func_def_553,type,
    bot_bot_set_int: set_int ).

thf(func_def_554,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_555,type,
    bot_bot_set_num: set_num ).

thf(func_def_556,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_557,type,
    bot_bot_set_real: set_real ).

thf(func_def_558,type,
    bot_bot_set_set_int: set_set_int ).

thf(func_def_559,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_560,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_561,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_562,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_563,type,
    ord_less_int: int > int > $o ).

thf(func_def_564,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_565,type,
    ord_less_num: num > num > $o ).

thf(func_def_566,type,
    ord_less_rat: rat > rat > $o ).

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

thf(func_def_568,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_569,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_570,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_571,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_572,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_573,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_574,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_575,type,
    ord_less_set_set_int: set_set_int > set_set_int > $o ).

thf(func_def_576,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_577,type,
    ord_le4573692005234683329plex_o: ( complex > $o ) > ( complex > $o ) > $o ).

thf(func_def_578,type,
    ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_579,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_580,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_581,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_582,type,
    ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_583,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_584,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_585,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_586,type,
    ord_le4104064031414453916r_real: filter_real > filter_real > $o ).

thf(func_def_587,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_588,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_589,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_590,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_591,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_592,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_593,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_594,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_595,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_596,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_597,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_598,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_599,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_600,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_601,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(func_def_602,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_603,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_604,type,
    ord_max_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_605,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_606,type,
    ord_max_int: int > int > int ).

thf(func_def_607,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_608,type,
    ord_max_num: num > num > num ).

thf(func_def_609,type,
    ord_max_rat: rat > rat > rat ).

thf(func_def_610,type,
    ord_max_real: real > real > real ).

thf(func_def_611,type,
    ord_max_set_int: set_int > set_int > set_int ).

thf(func_def_612,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_613,type,
    order_9091379641038594480t_real: ( nat > real ) > $o ).

thf(func_def_614,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_615,type,
    order_mono_nat_real: ( nat > real ) > $o ).

thf(func_def_616,type,
    top_top_set_o: set_o ).

thf(func_def_617,type,
    top_top_set_nat: set_nat ).

thf(func_def_618,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_619,type,
    top_top_set_real: set_real ).

thf(func_def_620,type,
    top_top_set_char: set_char ).

thf(func_def_621,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_622,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_623,type,
    power_power_int: int > nat > int ).

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

thf(func_def_625,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_626,type,
    power_power_real: real > nat > real ).

thf(func_def_627,type,
    produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).

thf(func_def_628,type,
    produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).

thf(func_def_629,type,
    produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).

thf(func_def_630,type,
    produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).

thf(func_def_631,type,
    produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).

thf(func_def_632,type,
    produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).

thf(func_def_633,type,
    produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).

thf(func_def_634,type,
    produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).

thf(func_def_635,type,
    produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).

thf(func_def_636,type,
    produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).

thf(func_def_637,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_638,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_639,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_640,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_641,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_642,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_643,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_644,type,
    product_Pair_nat_o: nat > $o > product_prod_nat_o ).

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

thf(func_def_646,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_647,type,
    produc599794634098209291T_VEBT: nat > vEBT_VEBT > produc8025551001238799321T_VEBT ).

thf(func_def_648,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_649,type,
    produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).

thf(func_def_650,type,
    produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).

thf(func_def_651,type,
    produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).

thf(func_def_652,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_653,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_654,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_655,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_656,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_657,type,
    produc127349428274296955eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > $o ).

thf(func_def_658,type,
    produc2592262431452330817omplex: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_complex ) > produc8763457246119570046nteger > set_complex ).

thf(func_def_659,type,
    produc8604463032469472703et_int: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8763457246119570046nteger > set_int ).

thf(func_def_660,type,
    produc3558942015123893603et_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > set_nat ).

thf(func_def_661,type,
    produc815715089573277247t_real: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8763457246119570046nteger > set_real ).

thf(func_def_662,type,
    produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_663,type,
    produc7959293469001253456omplex: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_complex ) > produc7773217078559923341nt_int > set_complex ).

thf(func_def_664,type,
    produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).

thf(func_def_665,type,
    produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).

thf(func_def_666,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_667,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_668,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_669,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_670,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_671,type,
    produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).

thf(func_def_672,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_673,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_674,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_675,type,
    produc8580519160106071146omplex: ( int > int > set_complex ) > product_prod_int_int > set_complex ).

thf(func_def_676,type,
    produc73460835934605544et_int: ( int > int > set_int ) > product_prod_int_int > set_int ).

thf(func_def_677,type,
    produc4251311855443802252et_nat: ( int > int > set_nat ) > product_prod_int_int > set_nat ).

thf(func_def_678,type,
    produc6452406959799940328t_real: ( int > int > set_real ) > product_prod_int_int > set_real ).

thf(func_def_679,type,
    produc5233655623923918146et_nat: ( int > int > set_set_nat ) > product_prod_int_int > set_set_nat ).

thf(func_def_680,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_681,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_682,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_683,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(func_def_684,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_685,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_686,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_687,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(func_def_688,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(func_def_689,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_690,type,
    produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).

thf(func_def_691,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_692,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_693,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

thf(func_def_694,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_695,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_696,type,
    fract: int > int > rat ).

thf(func_def_697,type,
    frct: product_prod_int_int > rat ).

thf(func_def_698,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_699,type,
    of_int: int > rat ).

thf(func_def_700,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_701,type,
    real_V2521375963428798218omplex: set_complex ).

thf(func_def_702,type,
    real_V5970128139526366754l_real: ( real > real ) > $o ).

thf(func_def_703,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_704,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_705,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_706,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_707,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_708,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_709,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(func_def_710,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_711,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_712,type,
    divide_divide_int: int > int > int ).

thf(func_def_713,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_714,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_715,type,
    divide_divide_real: real > real > real ).

thf(func_def_716,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_717,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_718,type,
    dvd_dvd_int: int > int > $o ).

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

thf(func_def_720,type,
    dvd_dvd_rat: rat > rat > $o ).

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

thf(func_def_722,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_723,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_724,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_725,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_726,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_727,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_728,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_729,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_730,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_731,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_732,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_733,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_734,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_735,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_736,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_737,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_738,type,
    collect_list_o: ( list_o > $o ) > set_list_o ).

thf(func_def_739,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(func_def_740,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(func_def_741,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_742,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(func_def_743,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_744,type,
    collect_num: ( num > $o ) > set_num ).

thf(func_def_745,type,
    collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).

thf(func_def_746,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_747,type,
    collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).

thf(func_def_748,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(func_def_749,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_750,type,
    collect_set_complex: ( set_complex > $o ) > set_set_complex ).

thf(func_def_751,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_752,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_753,type,
    pow_nat: set_nat > set_set_nat ).

thf(func_def_754,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_755,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(func_def_756,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_757,type,
    image_nat_real: ( nat > real ) > set_nat > set_real ).

thf(func_def_758,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_759,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_760,type,
    image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).

thf(func_def_761,type,
    image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).

thf(func_def_762,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_763,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_764,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_765,type,
    insert_int: int > set_int > set_int ).

thf(func_def_766,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_767,type,
    insert_num: num > set_num > set_num ).

thf(func_def_768,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_769,type,
    insert_real: real > set_real > set_real ).

thf(func_def_770,type,
    insert_set_nat: set_nat > set_set_nat > set_set_nat ).

thf(func_def_771,type,
    insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_772,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_773,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_774,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_775,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_776,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_777,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_778,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_779,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_780,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_781,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_782,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_783,type,
    set_ord_atLeast_real: real > set_real ).

thf(func_def_784,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_785,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_786,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_787,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_788,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_789,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_790,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_791,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_792,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_793,type,
    set_or8419480210114673929d_enat: extended_enat > set_Extended_enat ).

thf(func_def_794,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_795,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_796,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_797,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_798,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_799,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

thf(func_def_800,type,
    ascii_of: char > char ).

thf(func_def_801,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_802,type,
    size_char: char > nat ).

thf(func_def_803,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_804,type,
    integer_of_char: char > code_integer ).

thf(func_def_805,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_806,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_807,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_808,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_809,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_810,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_811,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_812,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

thf(func_def_813,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

thf(func_def_814,type,
    arccos: real > real ).

thf(func_def_815,type,
    arcosh_real: real > real ).

thf(func_def_816,type,
    arcsin: real > real ).

thf(func_def_817,type,
    arctan: real > real ).

thf(func_def_818,type,
    arsinh_real: real > real ).

thf(func_def_819,type,
    artanh_real: real > real ).

thf(func_def_820,type,
    cos_real: real > real ).

thf(func_def_821,type,
    cos_coeff: nat > real ).

thf(func_def_822,type,
    cosh_real: real > real ).

thf(func_def_823,type,
    cot_real: real > real ).

thf(func_def_824,type,
    exp_complex: complex > complex ).

thf(func_def_825,type,
    exp_real: real > real ).

thf(func_def_826,type,
    ln_ln_real: real > real ).

thf(func_def_827,type,
    log: real > real > real ).

thf(func_def_828,type,
    pi: real ).

thf(func_def_829,type,
    powr_real: real > real > real ).

thf(func_def_830,type,
    sin_real: real > real ).

thf(func_def_831,type,
    sin_coeff: nat > real ).

thf(func_def_832,type,
    sinh_real: real > real ).

thf(func_def_833,type,
    tan_real: real > real ).

thf(func_def_834,type,
    tanh_complex: complex > complex ).

thf(func_def_835,type,
    tanh_real: real > real ).

thf(func_def_836,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_837,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_838,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_839,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_840,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_841,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_842,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_843,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_844,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_845,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_846,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_847,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_848,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_849,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_850,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_851,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_852,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_853,type,
    vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_854,type,
    vEBT_vebt_delete_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_855,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_856,type,
    vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_857,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_858,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_859,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_860,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_861,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_862,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_863,type,
    vEBT_VEBT_add: option_nat > option_nat > option_nat ).

thf(func_def_864,type,
    vEBT_VEBT_greater: option_nat > option_nat > $o ).

thf(func_def_865,type,
    vEBT_VEBT_less: option_nat > option_nat > $o ).

thf(func_def_866,type,
    vEBT_VEBT_lesseq: option_nat > option_nat > $o ).

thf(func_def_867,type,
    vEBT_VEBT_max_in_set: set_nat > nat > $o ).

thf(func_def_868,type,
    vEBT_VEBT_min_in_set: set_nat > nat > $o ).

thf(func_def_869,type,
    vEBT_VEBT_mul: option_nat > option_nat > option_nat ).

thf(func_def_870,type,
    vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).

thf(func_def_871,type,
    vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(func_def_872,type,
    vEBT_V1502963449132264192at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat ).

thf(func_def_873,type,
    vEBT_VEBT_power: option_nat > option_nat > option_nat ).

thf(func_def_874,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

thf(func_def_875,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_876,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(func_def_877,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_878,type,
    vEBT_is_pred_in_set: set_nat > nat > nat > $o ).

thf(func_def_879,type,
    vEBT_vebt_pred: vEBT_VEBT > nat > option_nat ).

thf(func_def_880,type,
    vEBT_vebt_pred_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_881,type,
    vEBT_is_succ_in_set: set_nat > nat > nat > $o ).

thf(func_def_882,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).

thf(func_def_883,type,
    vEBT_vebt_succ_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_884,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_885,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_886,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_887,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_888,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_889,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_890,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(func_def_891,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_892,type,
    member_o: $o > set_o > $o ).

thf(func_def_893,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_894,type,
    member_int: int > set_int > $o ).

thf(func_def_895,type,
    member_list_o: list_o > set_list_o > $o ).

thf(func_def_896,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_897,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_898,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_899,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_900,type,
    member_num: num > set_num > $o ).

thf(func_def_901,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_902,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_903,type,
    member_real: real > set_real > $o ).

thf(func_def_904,type,
    member_set_int: set_int > set_set_int > $o ).

thf(func_def_905,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_906,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_907,type,
    deg: nat ).

thf(func_def_908,type,
    m: nat ).

thf(func_def_909,type,
    ma: nat ).

thf(func_def_910,type,
    maxs: nat ).

thf(func_def_911,type,
    mi: nat ).

thf(func_def_912,type,
    na: nat ).

thf(func_def_913,type,
    summary: vEBT_VEBT ).

thf(func_def_914,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_915,type,
    xa: nat ).

thf(func_def_934,type,
    sP0: rat > num > rat > $o ).

thf(func_def_935,type,
    sP1: int > set_int > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_936,type,
    sP2: set_int > ( int > $o ) > int > $o ).

thf(func_def_937,type,
    sP3: num > num > num > $o ).

thf(func_def_938,type,
    sP4: num > num > num > $o ).

thf(func_def_939,type,
    sP5: num > num > num > $o ).

thf(func_def_940,type,
    sP6: num > num > num > $o ).

thf(func_def_941,type,
    sP7: num > num > num > $o ).

thf(func_def_942,type,
    sP8: num > num > num > $o ).

thf(func_def_943,type,
    sP9: num > num > num > $o ).

thf(func_def_944,type,
    sP10: num > num > num > $o ).

thf(func_def_945,type,
    sP11: rat > num > rat > $o ).

thf(func_def_946,type,
    sP12: real > num > real > $o ).

thf(func_def_947,type,
    sP13: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_948,type,
    sP14: list_VEBT_VEBT > nat > nat > $o ).

thf(func_def_949,type,
    sP15: ( real > real ) > ( real > real > real ) > real > real > $o ).

thf(func_def_950,type,
    sP16: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_951,type,
    sP17: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_952,type,
    sP18: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_953,type,
    sP19: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_954,type,
    sP20: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).

thf(func_def_955,type,
    sP21: ( nat > int ) > nat > nat > $o ).

thf(func_def_956,type,
    sP22: vEBT_VEBT > nat > $o ).

thf(func_def_957,type,
    sP23: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_958,type,
    sP24: ( option_num > option_num > $o ) > option_num > option_num > $o ).

thf(func_def_959,type,
    sP25: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > $o ).

thf(func_def_960,type,
    sP26: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_961,type,
    sP27: complex > set_complex > set_complex > $o ).

thf(func_def_962,type,
    sP28: ( nat > real > real ) > nat > real > $o ).

thf(func_def_963,type,
    sP29: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_964,type,
    sP30: $o > nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_965,type,
    sP31: $o > nat > $o > $o ).

thf(func_def_966,type,
    sP32: $o > $o > nat > $o > $o ).

thf(func_def_967,type,
    sP33: $o > nat > vEBT_VEBT > $o ).

thf(func_def_968,type,
    sP34: $o > vEBT_VEBT > nat > $o ).

thf(func_def_969,type,
    sP35: vEBT_VEBT > $o > nat > $o ).

thf(func_def_970,type,
    sP36: vEBT_VEBT > nat > $o > $o ).

thf(func_def_971,type,
    sP37: $o > vEBT_VEBT > $o ).

thf(func_def_972,type,
    sP38: $o > vEBT_VEBT > $o ).

thf(func_def_973,type,
    sP39: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).

thf(func_def_974,type,
    sP40: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > $o ).

thf(func_def_975,type,
    sP41: ( real > real ) > real > real > $o ).

thf(func_def_976,type,
    sP42: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > $o ).

thf(func_def_977,type,
    sP43: ( int > $o ) > int > set_int > ( int > $o ) > $o ).

thf(func_def_978,type,
    sP44: set_int > int > ( int > $o ) > $o ).

thf(func_def_979,type,
    sP45: real > real > real > $o ).

thf(func_def_980,type,
    sP46: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_981,type,
    sP47: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_982,type,
    sP48: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_983,type,
    sP49: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_984,type,
    sP50: vEBT_VEBT > nat > $o ).

thf(func_def_985,type,
    sP51: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).

thf(func_def_986,type,
    sP52: ( real > complex ) > set_real > $o ).

thf(func_def_987,type,
    sP53: ( real > int ) > ( int > real ) > set_int > set_int > $o ).

thf(func_def_988,type,
    sP54: ( int > real ) > ( real > int ) > set_real > set_real > $o ).

thf(func_def_989,type,
    sP55: set_int > ( int > complex ) > $o ).

thf(func_def_990,type,
    sP56: $o > $o > nat > $o ).

thf(func_def_991,type,
    sP57: $o > $o > nat > $o > $o ).

thf(func_def_992,type,
    sP58: vEBT_VEBT > $o > nat > $o ).

thf(func_def_993,type,
    sP59: $o > nat > vEBT_VEBT > $o ).

thf(func_def_994,type,
    sP60: rat > num > rat > $o ).

thf(func_def_995,type,
    sP61: num > real > real > $o ).

thf(func_def_996,type,
    sP62: real > real > real > $o ).

thf(func_def_997,type,
    sP63: option_num > option_num > option_num > $o ).

thf(func_def_998,type,
    sP64: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_999,type,
    sP65: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1000,type,
    sP66: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1001,type,
    sP67: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1002,type,
    sP68: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1003,type,
    sP69: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1004,type,
    sP70: real > num > real > $o ).

thf(func_def_1005,type,
    sP71: rat > rat > rat > $o ).

thf(func_def_1006,type,
    sP72: nat > ( nat > nat ) > $o ).

thf(func_def_1007,type,
    sP73: set_int > int > set_int > $o ).

thf(func_def_1008,type,
    sP74: set_real > real > set_real > $o ).

thf(func_def_1009,type,
    sP75: real > real > real > $o ).

thf(func_def_1010,type,
    sP76: ( real > real > real ) > real > ( real > real ) > real > $o ).

thf(func_def_1011,type,
    sP77: rat > rat > rat > $o ).

thf(func_def_1012,type,
    sP78: ( real > real > $o ) > real > real > $o ).

thf(func_def_1013,type,
    sP79: ( real > real ) > real > ( real > real ) > real > $o ).

thf(func_def_1014,type,
    sP80: ( real > real ) > real > real > $o ).

thf(func_def_1015,type,
    sP81: real > ( real > real ) > real > $o ).

thf(func_def_1016,type,
    sP82: ( real > real ) > real > real > $o ).

thf(func_def_1017,type,
    sP83: rat > rat > rat > $o ).

thf(func_def_1018,type,
    sP84: rat > num > rat > $o ).

thf(func_def_1019,type,
    sP85: rat > rat > rat > $o ).

thf(func_def_1020,type,
    sP86: nat > nat > nat > $o ).

thf(func_def_1021,type,
    sP87: nat > nat > nat > $o ).

thf(func_def_1022,type,
    sP88: nat > nat > nat > $o ).

thf(func_def_1023,type,
    sP89: vEBT_VEBT > nat > $o ).

thf(func_def_1024,type,
    sP90: set_real > ( real > real ) > $o ).

thf(func_def_1025,type,
    sP91: ( int > real ) > set_int > $o ).

thf(func_def_1026,type,
    sP92: ( real > int ) > set_int > set_int > set_real > set_real > $o ).

thf(func_def_1027,type,
    sP93: ( int > real ) > ( real > real ) > ( int > real ) > set_int > $o ).

thf(func_def_1028,type,
    sP94: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1029,type,
    sP95: num > num > num > $o ).

thf(func_def_1030,type,
    sP96: num > num > num > $o ).

thf(func_def_1031,type,
    sP97: num > num > num > $o ).

thf(func_def_1032,type,
    sP98: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > $o ).

thf(func_def_1033,type,
    sP99: num > real > real > $o ).

thf(func_def_1034,type,
    sP100: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > $o ).

thf(func_def_1035,type,
    sP101: vEBT_VEBT > option_nat > $o ).

thf(func_def_1036,type,
    sP102: option_nat > vEBT_VEBT > $o ).

thf(func_def_1037,type,
    sP103: int > ( int > $o ) > $o ).

thf(func_def_1038,type,
    sP104: ( nat > $o ) > nat > nat > $o ).

thf(func_def_1039,type,
    sP105: rat > rat > num > $o ).

thf(func_def_1040,type,
    sP106: real > num > real > $o ).

thf(func_def_1041,type,
    sP107: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1042,type,
    sP108: nat > list_VEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1043,type,
    sP109: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1044,type,
    sP110: nat > vEBT_VEBT > list_VEBT_VEBT > $o ).

thf(func_def_1045,type,
    sP111: nat > vEBT_VEBT > $o ).

thf(func_def_1046,type,
    sP112: vEBT_VEBT > nat > $o ).

thf(func_def_1047,type,
    sP113: nat > vEBT_VEBT > $o ).

thf(func_def_1048,type,
    sP114: nat > vEBT_VEBT > $o ).

thf(func_def_1049,type,
    sP115: nat > option4927543243414619207at_nat > list_VEBT_VEBT > vEBT_VEBT > nat > $o > $o ).

thf(func_def_1050,type,
    sP116: $o > vEBT_VEBT > nat > $o ).

thf(func_def_1051,type,
    sP117: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1052,type,
    sP118: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1053,type,
    sP119: nat > option_nat > vEBT_VEBT > $o ).

thf(func_def_1054,type,
    sP120: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1055,type,
    sP121: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1056,type,
    sP122: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1057,type,
    sP123: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_1058,type,
    sP124: num > rat > rat > $o ).

thf(func_def_1059,type,
    sP125: ( int > $o ) > int > int > $o ).

thf(func_def_1060,type,
    sP126: int > ( int > $o ) > int > $o ).

thf(func_def_1061,type,
    sP127: real > ( real > real ) > ( real > real ) > real > $o ).

thf(func_def_1062,type,
    sP128: ( real > real ) > ( real > real ) > real > real > $o ).

thf(func_def_1063,type,
    sP129: ( real > real ) > ( real > real ) > real > ( real > real ) > real > ( real > real ) > $o ).

thf(func_def_1064,type,
    sP130: real > real > ( real > real ) > $o ).

thf(func_def_1065,type,
    sP131: real > real > real > $o ).

thf(func_def_1066,type,
    sP132: int > int > int > $o ).

thf(func_def_1067,type,
    sP133: int > int > int > $o ).

thf(func_def_1068,type,
    sP134: int > int > int > $o ).

thf(func_def_1069,type,
    sP135: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1070,type,
    sP136: nat > vEBT_VEBT > $o ).

thf(func_def_1071,type,
    sP137: nat > vEBT_VEBT > $o ).

thf(func_def_1072,type,
    sP138: set_set_nat > set_nat > set_set_nat > $o ).

thf(func_def_1073,type,
    sP139: vEBT_VEBT > option_nat > $o ).

thf(func_def_1074,type,
    sP140: nat > vEBT_VEBT > $o ).

thf(func_def_1075,type,
    sP141: vEBT_VEBT > nat > $o ).

thf(func_def_1076,type,
    sP142: vEBT_VEBT > nat > $o ).

thf(func_def_1077,type,
    sP143: num > num > num > $o ).

thf(func_def_1078,type,
    sP144: num > num > num > $o ).

thf(func_def_1079,type,
    sP145: num > num > num > $o ).

thf(func_def_1080,type,
    sP146: num > num > num > $o ).

thf(func_def_1081,type,
    sP147: num > num > num > $o ).

thf(func_def_1082,type,
    sP148: num > num > num > $o ).

thf(func_def_1083,type,
    sP149: num > num > num > $o ).

thf(func_def_1084,type,
    sP150: num > num > num > $o ).

thf(func_def_1085,type,
    sP151: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1086,type,
    sP152: ( real > real ) > set_real > $o ).

thf(func_def_1087,type,
    sP153: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1088,type,
    sP154: ( real > real ) > set_real > $o ).

thf(func_def_1089,type,
    sP155: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_1090,type,
    sP156: ( real > complex ) > ( complex > real ) > set_complex > set_complex > $o ).

thf(func_def_1091,type,
    sP157: ( complex > real ) > set_real > set_real > set_complex > set_complex > $o ).

thf(func_def_1092,type,
    sP158: ( complex > real ) > set_complex > $o ).

thf(func_def_1093,type,
    sP159: ( real > real ) > ( complex > real ) > ( real > complex ) > set_real > $o ).

thf(func_def_1094,type,
    sP160: real > num > real > $o ).

thf(func_def_1095,type,
    sP161: real > real > real > $o ).

thf(func_def_1096,type,
    sP162: ( int > int ) > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1097,type,
    sP163: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1098,type,
    sP164: set_int > ( int > real ) > $o ).

thf(func_def_1099,type,
    sP165: set_int > ( int > real ) > $o ).

thf(func_def_1100,type,
    sP166: nat > vEBT_VEBT > $o ).

thf(func_def_1101,type,
    sP167: vEBT_VEBT > nat > $o ).

thf(func_def_1102,type,
    sP168: vEBT_VEBT > nat > $o ).

thf(func_def_1103,type,
    sP169: vEBT_VEBT > nat > $o ).

thf(func_def_1104,type,
    sP170: ( real > real ) > ( nat > real > real ) > nat > real > real > $o ).

thf(func_def_1105,type,
    sP171: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1106,type,
    sP172: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1107,type,
    sP173: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1108,type,
    sP174: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1109,type,
    sP175: ( real > real ) > ( real > real ) > real > real > $o ).

thf(func_def_1110,type,
    sP176: vEBT_VEBT > nat > $o ).

thf(func_def_1111,type,
    sP177: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > $o ).

thf(func_def_1112,type,
    sP178: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1113,type,
    sP179: ( int > $o ) > $o ).

thf(func_def_1114,type,
    sP180: option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat > $o ).

thf(func_def_1115,type,
    sP181: real > ( nat > real > real ) > real > nat > $o ).

thf(func_def_1116,type,
    sP182: vEBT_VEBT > option_nat > $o ).

thf(func_def_1117,type,
    sP183: nat > ( nat > real > real ) > real > $o ).

thf(func_def_1118,type,
    sP184: set_complex > ( complex > real ) > $o ).

thf(func_def_1119,type,
    sP185: ( complex > int ) > ( int > complex ) > set_int > set_int > $o ).

thf(func_def_1120,type,
    sP186: ( int > complex ) > set_complex > set_complex > set_int > set_int > $o ).

thf(func_def_1121,type,
    sP187: ( complex > real ) > ( int > complex ) > ( int > real ) > set_int > $o ).

thf(func_def_1122,type,
    sP188: rat > num > rat > $o ).

thf(func_def_1123,type,
    sP189: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1124,type,
    sP190: rat > rat > rat > $o ).

thf(func_def_1125,type,
    sP191: ( option_nat > option_num > $o ) > option_nat > option_num > $o ).

thf(func_def_1126,type,
    sP192: ( int > complex ) > ( int > complex ) > ( int > int ) > set_int > $o ).

thf(func_def_1127,type,
    sP193: ( int > int ) > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1128,type,
    sP194: ( int > complex ) > set_int > $o ).

thf(func_def_1129,type,
    sP195: ( int > int ) > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1130,type,
    sP196: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_1131,type,
    sP197: rat > rat > rat > $o ).

thf(func_def_1132,type,
    sP198: rat > num > rat > $o ).

thf(func_def_1133,type,
    sP199: real > real > ( real > real ) > $o ).

thf(func_def_1134,type,
    sP200: ( int > $o ) > int > int > $o ).

thf(func_def_1135,type,
    sP201: ( int > $o ) > int > int > $o ).

thf(func_def_1136,type,
    sP202: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1137,type,
    sP203: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1138,type,
    sP204: list_VEBT_VEBT > nat > nat > nat > nat > $o ).

thf(func_def_1139,type,
    sP205: nat > nat > list_VEBT_VEBT > $o ).

thf(func_def_1140,type,
    sP206: ( int > real ) > set_int > $o ).

thf(func_def_1141,type,
    sP207: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1142,type,
    sP208: set_real > ( real > real ) > ( int > real ) > ( real > int ) > $o ).

thf(func_def_1143,type,
    sP209: ( real > int ) > ( int > real ) > set_int > set_int > $o ).

thf(func_def_1144,type,
    sP210: set_int > ( int > $o ) > int > ( int > $o ) > $o ).

thf(func_def_1145,type,
    sP211: vEBT_VEBT > nat > $o > $o ).

thf(func_def_1146,type,
    sP212: nat > $o > vEBT_VEBT > $o ).

thf(func_def_1147,type,
    sP213: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1148,type,
    sP214: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1149,type,
    sP215: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_1150,type,
    sP216: ( option_num > option_nat > $o ) > option_nat > option_num > $o ).

thf(func_def_1151,type,
    sP217: set_nat > ( set_nat > $o ) > $o ).

thf(func_def_1152,type,
    sP218: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1153,type,
    sP219: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1154,type,
    sP220: nat > option_nat > vEBT_VEBT > $o ).

thf(func_def_1155,type,
    sP221: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1156,type,
    sP222: nat > option_nat > vEBT_VEBT > $o ).

thf(func_def_1157,type,
    sP223: int > int > product_prod_int_int > $o ).

thf(func_def_1158,type,
    sP224: real > real > real > $o ).

thf(func_def_1159,type,
    sP225: option_nat > option_nat > option_nat > $o ).

thf(func_def_1160,type,
    sP226: real > real > real > $o ).

thf(func_def_1161,type,
    sP227: ( option_nat > option_nat > $o ) > option_nat > option_nat > $o ).

thf(func_def_1162,type,
    sP228: nat > vEBT_VEBT > $o ).

thf(func_def_1163,type,
    sP229: set_real > ( set_real > $o ) > $o ).

thf(func_def_1164,type,
    sP230: set_nat > nat > set_nat > $o ).

thf(func_def_1165,type,
    sP231: nat > $o > vEBT_VEBT > $o ).

thf(func_def_1166,type,
    sP232: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1167,type,
    sP233: nat > $o > vEBT_VEBT > $o ).

thf(func_def_1168,type,
    sP234: $o > $o > nat > $o ).

thf(func_def_1169,type,
    sP235: $o > $o > nat > $o > $o ).

thf(func_def_1170,type,
    sP236: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1171,type,
    sP237: set_complex > ( set_complex > $o ) > $o ).

thf(func_def_1172,type,
    sP238: ( int > $o ) > int > int > $o ).

thf(func_def_1173,type,
    sP239: ( int > $o ) > int > int > $o ).

thf(func_def_1174,type,
    sP240: ( int > $o ) > int > int > $o ).

thf(func_def_1175,type,
    sP241: nat > vEBT_VEBT > $o ).

thf(func_def_1176,type,
    sP242: $o > $o > nat > $o ).

thf(func_def_1177,type,
    sP243: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1178,type,
    sP244: nat > list_VEBT_VEBT > nat > nat > nat > $o > $o ).

thf(func_def_1179,type,
    sP245: $o > $o > nat > $o ).

thf(func_def_1180,type,
    sP246: $o > $o > nat > $o > $o ).

thf(func_def_1181,type,
    sP247: vEBT_VEBT > $o > $o ).

thf(func_def_1182,type,
    sP248: $o > vEBT_VEBT > $o ).

thf(func_def_1183,type,
    sP249: vEBT_VEBT > nat > $o ).

thf(func_def_1184,type,
    sP250: rat > rat > rat > $o ).

thf(func_def_1185,type,
    sP251: rat > rat > rat > $o ).

thf(func_def_1186,type,
    sP252: rat > rat > rat > $o ).

thf(func_def_1187,type,
    sP253: vEBT_VEBT > nat > $o ).

thf(func_def_1188,type,
    sP254: rat > rat > rat > $o ).

thf(func_def_1189,type,
    sP255: real > ( real > real ) > real > $o ).

thf(func_def_1190,type,
    sP256: ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > option4927543243414619207at_nat > $o ).

thf(func_def_1191,type,
    sP257: $o > $o > nat > $o ).

thf(func_def_1192,type,
    sP258: ( int > $o ) > set_int > ( int > $o ) > int > $o ).

thf(func_def_1193,type,
    sP259: real > real > nat > $o ).

thf(func_def_1194,type,
    sP260: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).

thf(func_def_1195,type,
    sP261: set_int > ( set_int > $o ) > $o ).

thf(func_def_1196,type,
    sP262: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1197,type,
    sP263: ( real > real ) > set_real > set_real > set_real > set_real > $o ).

thf(func_def_1198,type,
    sP264: set_real > set_real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1199,type,
    sP265: ( real > complex ) > ( real > complex ) > ( real > real ) > set_real > $o ).

thf(func_def_1200,type,
    sP266: nat > ( nat > $o ) > nat > $o ).

thf(func_def_1201,type,
    sP267: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1202,type,
    sP268: ( set_set_nat > $o ) > set_set_nat > $o ).

thf(func_def_1203,type,
    sP269: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_1204,type,
    sP270: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_1205,type,
    sP271: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_1206,type,
    sP272: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1207,type,
    sP273: real > num > real > $o ).

thf(func_def_1208,type,
    sP274: ( int > $o ) > set_int > ( int > $o ) > int > $o ).

thf(func_def_1209,type,
    sP275: int > set_int > ( int > $o ) > $o ).

thf(func_def_1210,type,
    sP276: real > ( nat > real > real ) > nat > real > $o ).

thf(func_def_1211,type,
    sP277: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_1212,type,
    sP278: nat > vEBT_VEBT > $o ).

thf(func_def_1213,type,
    sP279: option_nat > vEBT_VEBT > $o ).

thf(func_def_1214,type,
    sP280: option_nat > vEBT_VEBT > $o ).

thf(func_def_1215,type,
    sP281: ( real > real ) > ( real > real ) > real > real > $o ).

thf(func_def_1216,type,
    sP282: int > int > int > $o ).

thf(func_def_1217,type,
    sP283: real > num > real > $o ).

thf(func_def_1218,type,
    sP284: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > $o ).

thf(func_def_1219,type,
    sP285: $o > vEBT_VEBT > $o ).

thf(func_def_1220,type,
    sP286: vEBT_VEBT > $o > $o ).

thf(func_def_1221,type,
    sP287: $o > vEBT_VEBT > $o ).

thf(func_def_1222,type,
    sP288: vEBT_VEBT > $o > $o ).

thf(func_def_1223,type,
    sP289: nat > real > ( nat > real > real ) > $o ).

thf(func_def_1224,type,
    sP290: list_VEBT_VEBT > nat > nat > nat > nat > $o ).

thf(func_def_1225,type,
    sP291: real > real > real > $o ).

thf(func_def_1226,type,
    sP292: nat > vEBT_VEBT > $o ).

thf(func_def_1227,type,
    sP293: nat > vEBT_VEBT > $o ).

thf(func_def_1228,type,
    sP294: nat > vEBT_VEBT > $o ).

thf(func_def_1229,type,
    sP295: ( int > $o ) > ( int > $o ) > int > set_int > $o ).

thf(func_def_1230,type,
    sP296: ( int > $o ) > set_int > int > $o ).

thf(func_def_1231,type,
    sP297: rat > rat > rat > $o ).

thf(func_def_1232,type,
    sP298: vEBT_VEBT > nat > $o ).

thf(func_def_1233,type,
    sP299: nat > vEBT_VEBT > $o ).

thf(func_def_1234,type,
    sP300: nat > list_nat > $o ).

thf(func_def_1235,type,
    sP301: set_real > ( real > complex ) > $o ).

thf(func_def_1236,type,
    sP302: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1237,type,
    sP303: ( int > complex ) > set_int > $o ).

thf(func_def_1238,type,
    sP304: ( real > complex ) > ( int > complex ) > ( real > int ) > set_real > $o ).

thf(func_def_1239,type,
    sP305: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > $o ).

thf(func_def_1240,type,
    sK306: ( int > $o ) > int ).

thf(func_def_1241,type,
    sK307: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1242,type,
    sK308: ( int > $o ) > int > int ).

thf(func_def_1243,type,
    sK309: ( int > $o ) > int > int ).

thf(func_def_1244,type,
    sK310: ( nat > num ) > nat ).

thf(func_def_1245,type,
    sK311: code_integer > code_integer > code_integer ).

thf(func_def_1246,type,
    sK312: rat > rat > rat ).

thf(func_def_1247,type,
    sK313: code_integer > code_integer > code_integer ).

thf(func_def_1248,type,
    sK314: ( nat > real ) > nat ).

thf(func_def_1249,type,
    sK315: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1250,type,
    sK316: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_1251,type,
    sK317: nat > set_nat > nat ).

thf(func_def_1252,type,
    sK318: real > real ).

thf(func_def_1253,type,
    sK319: set_nat > list_nat ).

thf(func_def_1254,type,
    sK320: real > int ).

thf(func_def_1255,type,
    sK321: set_nat > ( nat > rat ) > nat ).

thf(func_def_1256,type,
    sK322: rat > rat ).

thf(func_def_1257,type,
    sK323: ( complex > real ) > set_complex > complex ).

thf(func_def_1258,type,
    sK324: ( complex > real ) > real > real > set_complex > complex ).

thf(func_def_1259,type,
    sK325: complex > produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_complex ) > code_integer > option6357759511663192854e_term ).

thf(func_def_1260,type,
    sK326: complex > produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_complex ) > produc8923325533196201883nteger ).

thf(func_def_1261,type,
    sK327: list_real > ( real > $o ) > nat ).

thf(func_def_1262,type,
    sK328: ( int > int > $o ) > int ).

thf(func_def_1263,type,
    sK329: produc1908205239877642774nteger > code_integer ).

thf(func_def_1264,type,
    sK330: produc1908205239877642774nteger > code_integer ).

thf(func_def_1265,type,
    sK331: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1266,type,
    sK332: nat > nat > vEBT_VEBT > nat ).

thf(func_def_1267,type,
    sK333: set_real > real > real ).

thf(func_def_1268,type,
    sK334: ( nat > real ) > nat ).

thf(func_def_1269,type,
    sK335: ( nat > real ) > nat ).

thf(func_def_1270,type,
    sK336: ( complex > $o ) > complex > complex ).

thf(func_def_1271,type,
    sK337: ( complex > $o ) > complex > complex ).

thf(func_def_1272,type,
    sK338: nat > set_nat > nat ).

thf(func_def_1273,type,
    sK339: set_nat > nat ).

thf(func_def_1274,type,
    sK340: ( real > real ) > real ).

thf(func_def_1275,type,
    sK341: ( real > real ) > real ).

thf(func_def_1276,type,
    sK342: set_complex > ( complex > nat ) > complex ).

thf(func_def_1277,type,
    sK343: set_complex > ( complex > nat ) > complex ).

thf(func_def_1278,type,
    sK344: ( nat > num ) > nat ).

thf(func_def_1279,type,
    sK345: ( nat > num ) > nat ).

thf(func_def_1280,type,
    sK346: set_real > ( real > rat ) > real ).

thf(func_def_1281,type,
    sK347: set_int > ( int > $o ) > int > int ).

thf(func_def_1282,type,
    sK348: int > int > set_int > int ).

thf(func_def_1283,type,
    sK349: int > int > set_int > int ).

thf(func_def_1284,type,
    sK350: int > set_int > ( int > $o ) > int ).

thf(func_def_1285,type,
    sK351: ( produc2285326912895808259nt_int > $o ) > int ).

thf(func_def_1286,type,
    sK352: ( produc2285326912895808259nt_int > $o ) > int ).

thf(func_def_1287,type,
    sK353: ( produc2285326912895808259nt_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1288,type,
    sK354: ( complex > nat ) > set_complex > complex ).

thf(func_def_1289,type,
    sK355: real > real > ( real > real ) > real ).

thf(func_def_1290,type,
    sK356: set_complex > ( complex > int ) > ( complex > int ) > complex ).

thf(func_def_1291,type,
    sK357: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_1292,type,
    sK358: num > num ).

thf(func_def_1293,type,
    sK359: list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1294,type,
    sK360: nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_1295,type,
    sK361: ( nat > nat ) > set_nat > nat ).

thf(func_def_1296,type,
    sK362: ( nat > $o ) > nat ).

thf(func_def_1297,type,
    sK363: ( int > real ) > set_int > int ).

thf(func_def_1298,type,
    sK364: real > int ).

thf(func_def_1299,type,
    sK365: real > real ).

thf(func_def_1300,type,
    sK366: ( set_int > $o ) > int ).

thf(func_def_1301,type,
    sK367: ( set_int > $o ) > set_int ).

thf(func_def_1302,type,
    sK368: num > num > num > num ).

thf(func_def_1303,type,
    sK369: num > num > num > num ).

thf(func_def_1304,type,
    sK370: num > num > num > num ).

thf(func_def_1305,type,
    sK371: num > num > num > num ).

thf(func_def_1306,type,
    sK372: num > num > num ).

thf(func_def_1307,type,
    sK373: num > num > num > num ).

thf(func_def_1308,type,
    sK374: num > num > num > num ).

thf(func_def_1309,type,
    sK375: num > num > num ).

thf(func_def_1310,type,
    sK376: num > num > num > num ).

thf(func_def_1311,type,
    sK377: num > num > num > num ).

thf(func_def_1312,type,
    sK378: num > num > num > num ).

thf(func_def_1313,type,
    sK379: num > num > num > num ).

thf(func_def_1314,type,
    sK380: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_1315,type,
    sK381: ( nat > $o > $o ) > nat > list_o ).

thf(func_def_1316,type,
    sK382: ( nat > $o > $o ) > nat > nat ).

thf(func_def_1317,type,
    sK383: nat > ( nat > $o > $o ) > $o ).

thf(func_def_1318,type,
    sK384: list_o > ( nat > $o > $o ) > nat > nat ).

thf(func_def_1319,type,
    sK385: nat > nat ).

thf(func_def_1320,type,
    sK386: nat > list_nat > nat ).

thf(func_def_1321,type,
    sK387: set_int > list_int ).

thf(func_def_1322,type,
    sK388: real > real ).

thf(func_def_1323,type,
    sK389: set_int > ( int > nat ) > int ).

thf(func_def_1324,type,
    sK390: ( real > int ) > real ).

thf(func_def_1325,type,
    sK391: ( real > int ) > real ).

thf(func_def_1326,type,
    sK392: real > nat ).

thf(func_def_1327,type,
    sK393: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1328,type,
    sK394: list_VEBT_VEBT > nat ).

thf(func_def_1329,type,
    sK395: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_1330,type,
    sK396: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_1331,type,
    sK397: list_VEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1332,type,
    sK398: list_VEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1333,type,
    sK399: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1334,type,
    sK400: real > set_real > ( real > real ) > real ).

thf(func_def_1335,type,
    sK401: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_1336,type,
    sK402: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_1337,type,
    sK403: ( num > rat ) > num ).

thf(func_def_1338,type,
    sK404: ( num > rat ) > num ).

thf(func_def_1339,type,
    sK405: int > int ).

thf(func_def_1340,type,
    sK406: nat > nat ).

thf(func_def_1341,type,
    sK407: nat > list_int ).

thf(func_def_1342,type,
    sK408: ( real > num ) > real ).

thf(func_def_1343,type,
    sK409: ( real > num ) > real ).

thf(func_def_1344,type,
    sK410: real > real ).

thf(func_def_1345,type,
    sK411: ( real > real ) > set_real > real > real ).

thf(func_def_1346,type,
    sK412: nat > nat > nat ).

thf(func_def_1347,type,
    sK413: nat > nat > nat ).

thf(func_def_1348,type,
    sK414: ( rat > nat ) > rat ).

thf(func_def_1349,type,
    sK415: ( rat > nat ) > rat ).

thf(func_def_1350,type,
    sK416: ( real > real ) > ( real > real > real ) > real > real > real ).

thf(func_def_1351,type,
    sK417: real > real > ( real > real > real ) > real ).

thf(func_def_1352,type,
    sK418: ( rat > real ) > rat ).

thf(func_def_1353,type,
    sK419: ( rat > real ) > rat ).

thf(func_def_1354,type,
    sK420: int > set_int > int > int ).

thf(func_def_1355,type,
    sK421: int > set_int > int > int ).

thf(func_def_1356,type,
    sK422: ( int > nat ) > set_int > int ).

thf(func_def_1357,type,
    sK423: ( set_complex > $o ) > complex ).

thf(func_def_1358,type,
    sK424: ( set_complex > $o ) > set_complex ).

thf(func_def_1359,type,
    sK425: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1360,type,
    sK426: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1361,type,
    sK427: nat > nat ).

thf(func_def_1362,type,
    sK428: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1363,type,
    sK429: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1364,type,
    sK430: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1365,type,
    sK431: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_1366,type,
    sK432: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1367,type,
    sK433: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1368,type,
    sK434: vEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1369,type,
    sK435: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1370,type,
    sK436: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1371,type,
    sK437: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1372,type,
    sK438: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1373,type,
    sK439: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1374,type,
    sK440: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1375,type,
    sK441: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1376,type,
    sK442: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1377,type,
    sK443: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1378,type,
    sK444: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1379,type,
    sK445: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1380,type,
    sK446: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1381,type,
    sK447: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1382,type,
    sK448: ( set_complex > $o ) > ( complex > num ) > complex ).

thf(func_def_1383,type,
    sK449: ( set_complex > $o ) > ( complex > num ) > set_complex ).

thf(func_def_1384,type,
    sK450: ( complex > nat ) > set_complex > complex ).

thf(func_def_1385,type,
    sK451: ( real > nat > real ) > real > ( real > nat > real ) > nat ).

thf(func_def_1386,type,
    sK452: real > ( nat > real ) > ( real > nat > real ) > real > real ).

thf(func_def_1387,type,
    sK453: real > ( nat > real ) > ( real > nat > real ) > real > nat ).

thf(func_def_1388,type,
    sK454: real > ( nat > real ) > ( real > nat > real ) > real > real ).

thf(func_def_1389,type,
    sK455: real > ( real > nat > real ) > real > real ).

thf(func_def_1390,type,
    sK456: ( set_int > $o ) > set_int > int ).

thf(func_def_1391,type,
    sK457: ( set_int > $o ) > set_int > set_int ).

thf(func_def_1392,type,
    sK458: ( nat > nat > $o ) > nat ).

thf(func_def_1393,type,
    sK459: ( nat > nat > $o ) > nat ).

thf(func_def_1394,type,
    sK460: ( nat > nat > $o ) > nat ).

thf(func_def_1395,type,
    sK461: ( nat > nat > $o ) > nat ).

thf(func_def_1396,type,
    sK462: ( nat > nat > $o ) > nat ).

thf(func_def_1397,type,
    sK463: set_complex > ( complex > real ) > complex ).

thf(func_def_1398,type,
    sK464: int > set_int > int > int ).

thf(func_def_1399,type,
    sK465: int > set_int > int > int ).

thf(func_def_1400,type,
    sK466: ( set_nat > $o ) > nat ).

thf(func_def_1401,type,
    sK467: ( set_nat > $o ) > set_nat ).

thf(func_def_1402,type,
    sK468: ( nat > rat ) > set_nat > nat ).

thf(func_def_1403,type,
    sK469: set_int > set_set_int > set_int ).

thf(func_def_1404,type,
    sK470: real > ( real > real ) > real ).

thf(func_def_1405,type,
    sK471: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_1406,type,
    sK472: produc8763457246119570046nteger > code_integer ).

thf(func_def_1407,type,
    sK473: produc8763457246119570046nteger > code_integer ).

thf(func_def_1408,type,
    sK474: nat > nat ).

thf(func_def_1409,type,
    sK475: ( int > rat ) > ( int > rat ) > set_int > int ).

thf(func_def_1410,type,
    sK476: num > num ).

thf(func_def_1411,type,
    sK477: option_num > num ).

thf(func_def_1412,type,
    sK478: int > int ).

thf(func_def_1413,type,
    sK479: nat > real > real ).

thf(func_def_1414,type,
    sK480: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1415,type,
    sK481: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1416,type,
    sK482: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1417,type,
    sK483: nat > real > real ).

thf(func_def_1418,type,
    sK484: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > nat ).

thf(func_def_1419,type,
    sK485: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > nat ).

thf(func_def_1420,type,
    sK486: nat > set_nat > nat ).

thf(func_def_1421,type,
    sK487: ( rat > nat ) > rat ).

thf(func_def_1422,type,
    sK488: ( rat > nat ) > rat ).

thf(func_def_1423,type,
    sK489: set_nat > ( nat > nat ) > nat ).

thf(func_def_1424,type,
    sK490: nat > nat > nat ).

thf(func_def_1425,type,
    sK491: rat > ( rat > $o ) > rat ).

thf(func_def_1426,type,
    sK492: rat > ( rat > $o ) > rat ).

thf(func_def_1427,type,
    sK493: ( rat > $o ) > rat > rat ).

thf(func_def_1428,type,
    sK494: ( rat > $o ) > rat > rat ).

thf(func_def_1429,type,
    sK495: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).

thf(func_def_1430,type,
    sK496: ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_1431,type,
    sK497: nat > ( nat > vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_1432,type,
    sK498: list_VEBT_VEBT > ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_1433,type,
    sK499: ( nat > int ) > nat > nat > nat ).

thf(func_def_1434,type,
    sK500: nat > nat > int > ( nat > int ) > nat ).

thf(func_def_1435,type,
    sK501: ( set_int > $o ) > int ).

thf(func_def_1436,type,
    sK502: ( set_int > $o ) > set_int ).

thf(func_def_1437,type,
    sK503: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_1438,type,
    sK504: ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_1439,type,
    sK505: real > real > ( real > real ) > real ).

thf(func_def_1440,type,
    sK506: int > int > int ).

thf(func_def_1441,type,
    sK507: int > ( nat > int ) > nat > nat ).

thf(func_def_1442,type,
    sK508: ( set_nat > $o ) > ( nat > rat ) > nat ).

thf(func_def_1443,type,
    sK509: ( set_nat > $o ) > ( nat > rat ) > set_nat ).

thf(func_def_1444,type,
    sK510: vEBT_VEBT > nat > $o ).

thf(func_def_1445,type,
    sK511: vEBT_VEBT > nat > $o ).

thf(func_def_1446,type,
    sK512: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1447,type,
    sK513: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1448,type,
    sK514: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1449,type,
    sK515: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1450,type,
    sK516: vEBT_VEBT > nat > nat ).

thf(func_def_1451,type,
    sK517: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_1452,type,
    sK518: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1453,type,
    sK519: set_complex > ( complex > nat ) > complex ).

thf(func_def_1454,type,
    sK520: ( rat > rat ) > rat ).

thf(func_def_1455,type,
    sK521: ( rat > rat ) > rat ).

thf(func_def_1456,type,
    sK522: nat > real > real ).

thf(func_def_1457,type,
    sK523: real > real ).

thf(func_def_1458,type,
    sK524: ( nat > real ) > set_nat > nat ).

thf(func_def_1459,type,
    sK525: ( nat > complex ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_1460,type,
    sK526: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_1461,type,
    sK527: list_nat > nat > nat ).

thf(func_def_1462,type,
    sK528: int > set_int > int > int ).

thf(func_def_1463,type,
    sK529: int > set_int > int > int ).

thf(func_def_1464,type,
    sK530: product_prod_int_int > int ).

thf(func_def_1465,type,
    sK531: product_prod_int_int > int ).

thf(func_def_1466,type,
    sK532: real > real ).

thf(func_def_1467,type,
    sK533: ( real > nat ) > set_real > set_real > real ).

thf(func_def_1468,type,
    sK534: set_real > set_real > ( real > int ) > real ).

thf(func_def_1469,type,
    sK535: ( real > int ) > set_real > ( real > int ) > real ).

thf(func_def_1470,type,
    sK536: ( real > rat ) > real ).

thf(func_def_1471,type,
    sK537: ( real > rat ) > real ).

thf(func_def_1472,type,
    sK538: nat > nat ).

thf(func_def_1473,type,
    sK539: set_int > ( int > nat ) > int ).

thf(func_def_1474,type,
    sK540: ( int > real ) > set_int > int ).

thf(func_def_1475,type,
    sK541: ( int > real ) > set_int > set_int > int ).

thf(func_def_1476,type,
    sK542: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1477,type,
    sK543: ( nat > real ) > nat ).

thf(func_def_1478,type,
    sK544: ( nat > real ) > nat ).

thf(func_def_1479,type,
    sK545: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1480,type,
    sK546: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1481,type,
    sK547: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1482,type,
    sK548: ( real > nat ) > real ).

thf(func_def_1483,type,
    sK549: ( real > nat ) > real ).

thf(func_def_1484,type,
    sK550: real > real ).

thf(func_def_1485,type,
    sK551: set_real > ( real > nat ) > set_real > real ).

thf(func_def_1486,type,
    sK552: set_real > ( real > nat ) > set_real > real ).

thf(func_def_1487,type,
    sK553: rat > rat ).

thf(func_def_1488,type,
    sK554: set_int > set_int > int ).

thf(func_def_1489,type,
    sK555: set_complex > complex > ( complex > nat ) > complex ).

thf(func_def_1490,type,
    sK556: set_int > ( int > nat ) > int ).

thf(func_def_1491,type,
    sK557: real > ( real > $o ) > real ).

thf(func_def_1492,type,
    sK558: real > ( real > $o ) > real ).

thf(func_def_1493,type,
    sK559: real > ( real > $o ) > real ).

thf(func_def_1494,type,
    sK560: real > ( real > $o ) > real ).

thf(func_def_1495,type,
    sK561: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1496,type,
    sK562: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1497,type,
    sK563: rat > rat ).

thf(func_def_1498,type,
    sK564: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1499,type,
    sK565: ( nat > rat ) > nat ).

thf(func_def_1500,type,
    sK566: ( nat > rat ) > nat ).

thf(func_def_1501,type,
    sK567: set_real > ( real > nat ) > real ).

thf(func_def_1502,type,
    sK568: set_complex > set_complex > ( complex > nat ) > complex ).

thf(func_def_1503,type,
    sK569: list_int > list_int > nat ).

thf(func_def_1504,type,
    sK570: ( real > rat ) > ( set_real > $o ) > real ).

thf(func_def_1505,type,
    sK571: ( real > rat ) > ( set_real > $o ) > set_real ).

thf(func_def_1506,type,
    sK572: real > real > ( real > real ) > real ).

thf(func_def_1507,type,
    sK573: ( rat > num ) > rat ).

thf(func_def_1508,type,
    sK574: ( rat > num ) > rat ).

thf(func_def_1509,type,
    sK575: set_real > ( real > nat ) > real ).

thf(func_def_1510,type,
    sK576: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > num ).

thf(func_def_1511,type,
    sK577: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > product_prod_nat_nat ).

thf(func_def_1512,type,
    sK578: set_real > ( real > int ) > set_real > real ).

thf(func_def_1513,type,
    sK579: set_real > ( real > int ) > set_real > real ).

thf(func_def_1514,type,
    sK580: ( int > real ) > int ).

thf(func_def_1515,type,
    sK581: ( int > real ) > int ).

thf(func_def_1516,type,
    sK582: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1517,type,
    sK583: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_1518,type,
    sK584: ( real > real ) > real ).

thf(func_def_1519,type,
    sK585: ( real > real ) > real ).

thf(func_def_1520,type,
    sK586: set_int > ( int > int ) > int ).

thf(func_def_1521,type,
    sK587: set_int > ( int > rat ) > int ).

thf(func_def_1522,type,
    sK588: int > list_int > int ).

thf(func_def_1523,type,
    sK589: nat > nat ).

thf(func_def_1524,type,
    sK590: set_nat > ( nat > nat ) > nat ).

thf(func_def_1525,type,
    sK591: ( real > real ) > real > real > real ).

thf(func_def_1526,type,
    sK592: int > int > int ).

thf(func_def_1527,type,
    sK593: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1528,type,
    sK594: real > real > real ).

thf(func_def_1529,type,
    sK595: real > real > real ).

thf(func_def_1530,type,
    sK596: real > real > real ).

thf(func_def_1531,type,
    sK597: ( nat > $o ) > nat ).

thf(func_def_1532,type,
    sK598: ( complex > rat ) > set_complex > complex ).

thf(func_def_1533,type,
    sK599: ( complex > nat ) > ( nat > rat ) > ( complex > rat ) > set_complex > set_nat > nat ).

thf(func_def_1534,type,
    sK600: real > real > real ).

thf(func_def_1535,type,
    sK601: ( nat > $o ) > nat ).

thf(func_def_1536,type,
    sK602: nat > ( nat > $o ) > nat ).

thf(func_def_1537,type,
    sK603: vEBT_VEBT > nat ).

thf(func_def_1538,type,
    sK604: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1539,type,
    sK605: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1540,type,
    sK606: ( vEBT_VEBT > $o ) > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1541,type,
    sK607: vEBT_VEBT > $o ).

thf(func_def_1542,type,
    sK608: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1543,type,
    sK609: vEBT_VEBT > nat ).

thf(func_def_1544,type,
    sK610: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1545,type,
    sK611: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1546,type,
    sK612: vEBT_VEBT > $o ).

thf(func_def_1547,type,
    sK613: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1548,type,
    sK614: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1549,type,
    sK615: vEBT_VEBT > nat ).

thf(func_def_1550,type,
    sK616: list_nat > nat > nat ).

thf(func_def_1551,type,
    sK617: list_nat > nat > list_nat ).

thf(func_def_1552,type,
    sK618: list_set_nat > set_set_nat > set_nat ).

thf(func_def_1553,type,
    sK619: real > real > real ).

thf(func_def_1554,type,
    sK620: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_1555,type,
    sK621: ( nat > rat ) > set_nat > nat ).

thf(func_def_1556,type,
    sK622: set_nat > ( nat > rat ) > ( nat > nat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_1557,type,
    sK623: list_VEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1558,type,
    sK624: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_1559,type,
    sK625: rat > rat > rat ).

thf(func_def_1560,type,
    sK626: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1561,type,
    sK627: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1562,type,
    sK628: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1563,type,
    sK629: product_prod_num_num > num ).

thf(func_def_1564,type,
    sK630: product_prod_num_num > num ).

thf(func_def_1565,type,
    sK631: product_prod_num_num > num ).

thf(func_def_1566,type,
    sK632: product_prod_num_num > num ).

thf(func_def_1567,type,
    sK633: product_prod_num_num > num ).

thf(func_def_1568,type,
    sK634: product_prod_num_num > num ).

thf(func_def_1569,type,
    sK635: product_prod_num_num > num ).

thf(func_def_1570,type,
    sK636: product_prod_num_num > num ).

thf(func_def_1571,type,
    sK637: product_prod_num_num > num ).

thf(func_def_1572,type,
    sK638: product_prod_num_num > num ).

thf(func_def_1573,type,
    sK639: product_prod_num_num > num ).

thf(func_def_1574,type,
    sK640: product_prod_num_num > num ).

thf(func_def_1575,type,
    sK641: set_real > ( real > rat ) > ( real > rat ) > real ).

thf(func_def_1576,type,
    sK642: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1577,type,
    sK643: ( num > num > $o ) > num ).

thf(func_def_1578,type,
    sK644: ( num > num > $o ) > num ).

thf(func_def_1579,type,
    sK645: ( num > num > $o ) > num ).

thf(func_def_1580,type,
    sK646: ( num > num > $o ) > num ).

thf(func_def_1581,type,
    sK647: real > nat > real ).

thf(func_def_1582,type,
    sK648: nat > set_nat > nat ).

thf(func_def_1583,type,
    sK649: set_int > ( int > real ) > int > int ).

thf(func_def_1584,type,
    sK650: ( nat > real ) > nat > nat ).

thf(func_def_1585,type,
    sK651: set_int > ( int > nat ) > ( int > nat ) > int ).

thf(func_def_1586,type,
    sK652: nat > nat ).

thf(func_def_1587,type,
    sK653: ( num > num ) > num ).

thf(func_def_1588,type,
    sK654: ( num > num ) > num ).

thf(func_def_1589,type,
    sK655: ( rat > int ) > rat ).

thf(func_def_1590,type,
    sK656: ( rat > int ) > rat ).

thf(func_def_1591,type,
    sK657: ( rat > nat ) > rat ).

thf(func_def_1592,type,
    sK658: ( rat > nat ) > rat ).

thf(func_def_1593,type,
    sK659: rat > rat > rat ).

thf(func_def_1594,type,
    sK660: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_1595,type,
    sK661: produc9072475918466114483BT_nat > nat ).

thf(func_def_1596,type,
    sK662: produc9072475918466114483BT_nat > nat ).

thf(func_def_1597,type,
    sK663: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1598,type,
    sK664: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1599,type,
    sK665: produc9072475918466114483BT_nat > nat ).

thf(func_def_1600,type,
    sK666: produc9072475918466114483BT_nat > $o ).

thf(func_def_1601,type,
    sK667: produc9072475918466114483BT_nat > $o ).

thf(func_def_1602,type,
    sK668: produc9072475918466114483BT_nat > nat ).

thf(func_def_1603,type,
    sK669: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1604,type,
    sK670: produc9072475918466114483BT_nat > nat ).

thf(func_def_1605,type,
    sK671: produc9072475918466114483BT_nat > nat ).

thf(func_def_1606,type,
    sK672: produc9072475918466114483BT_nat > nat ).

thf(func_def_1607,type,
    sK673: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1608,type,
    sK674: produc9072475918466114483BT_nat > nat ).

thf(func_def_1609,type,
    sK675: produc9072475918466114483BT_nat > $o ).

thf(func_def_1610,type,
    sK676: produc9072475918466114483BT_nat > $o ).

thf(func_def_1611,type,
    sK677: produc9072475918466114483BT_nat > nat ).

thf(func_def_1612,type,
    sK678: produc9072475918466114483BT_nat > nat ).

thf(func_def_1613,type,
    sK679: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1614,type,
    sK680: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1615,type,
    sK681: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1616,type,
    sK682: produc9072475918466114483BT_nat > nat ).

thf(func_def_1617,type,
    sK683: produc9072475918466114483BT_nat > nat ).

thf(func_def_1618,type,
    sK684: produc9072475918466114483BT_nat > nat ).

thf(func_def_1619,type,
    sK685: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1620,type,
    sK686: produc9072475918466114483BT_nat > $o ).

thf(func_def_1621,type,
    sK687: produc9072475918466114483BT_nat > $o ).

thf(func_def_1622,type,
    sK688: ( complex > nat ) > set_complex > complex ).

thf(func_def_1623,type,
    sK689: complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_1624,type,
    sK690: real > ( real > real ) > real > real ).

thf(func_def_1625,type,
    sK691: ( nat > rat ) > nat > set_nat > nat ).

thf(func_def_1626,type,
    sK692: ( rat > int ) > rat ).

thf(func_def_1627,type,
    sK693: ( rat > int ) > rat ).

thf(func_def_1628,type,
    sK694: ( complex > rat ) > set_complex > ( complex > rat ) > complex ).

thf(func_def_1629,type,
    sK695: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_1630,type,
    sK696: nat > nat > nat ).

thf(func_def_1631,type,
    sK697: ( nat > nat > $o ) > nat > list_nat ).

thf(func_def_1632,type,
    sK698: ( nat > nat > $o ) > nat > nat ).

thf(func_def_1633,type,
    sK699: nat > ( nat > nat > $o ) > nat ).

thf(func_def_1634,type,
    sK700: list_nat > ( nat > nat > $o ) > nat > nat ).

thf(func_def_1635,type,
    sK701: ( rat > rat ) > rat ).

thf(func_def_1636,type,
    sK702: ( rat > rat ) > rat ).

thf(func_def_1637,type,
    sK703: ( nat > $o ) > $o ).

thf(func_def_1638,type,
    sK704: ( nat > $o ) > nat ).

thf(func_def_1639,type,
    sK705: ( nat > $o ) > nat ).

thf(func_def_1640,type,
    sK706: ( nat > real > real ) > nat > real > real ).

thf(func_def_1641,type,
    sK707: ( nat > real > real ) > nat > real > nat ).

thf(func_def_1642,type,
    sK708: nat > real > ( nat > real > real ) > ( real > real ) > real ).

thf(func_def_1643,type,
    sK709: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1644,type,
    sK710: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_1645,type,
    sK711: vEBT_VEBT > nat > $o > nat ).

thf(func_def_1646,type,
    sK712: vEBT_VEBT > nat > $o > list_VEBT_VEBT ).

thf(func_def_1647,type,
    sK713: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1648,type,
    sK714: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1649,type,
    sK715: $o > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1650,type,
    sK716: $o > vEBT_VEBT > nat > nat ).

thf(func_def_1651,type,
    sK717: $o > vEBT_VEBT > nat > nat ).

thf(func_def_1652,type,
    sK718: $o > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1653,type,
    sK719: $o > vEBT_VEBT > nat > nat ).

thf(func_def_1654,type,
    sK720: $o > nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1655,type,
    sK721: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1656,type,
    sK722: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1657,type,
    sK723: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1658,type,
    sK724: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1659,type,
    sK725: $o > nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1660,type,
    sK726: ( set_complex > $o ) > set_complex > complex ).

thf(func_def_1661,type,
    sK727: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_1662,type,
    sK728: ( real > complex ) > set_real > real ).

thf(func_def_1663,type,
    sK729: set_real > ( real > nat ) > ( real > nat ) > real ).

thf(func_def_1664,type,
    sK730: set_real > ( real > nat ) > set_real > real ).

thf(func_def_1665,type,
    sK731: ( rat > rat ) > rat ).

thf(func_def_1666,type,
    sK732: ( rat > rat ) > rat ).

thf(func_def_1667,type,
    sK733: ( rat > rat ) > rat ).

thf(func_def_1668,type,
    sK734: ( rat > rat ) > rat ).

thf(func_def_1669,type,
    sK735: list_o > $o > nat ).

thf(func_def_1670,type,
    sK736: set_real > ( real > real ) > real ).

thf(func_def_1671,type,
    sK737: ( set_int > $o ) > set_int ).

thf(func_def_1672,type,
    sK738: vEBT_VEBT > nat ).

thf(func_def_1673,type,
    sK739: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1674,type,
    sK740: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1675,type,
    sK741: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1676,type,
    sK742: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1677,type,
    sK743: vEBT_VEBT > nat ).

thf(func_def_1678,type,
    sK744: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1679,type,
    sK745: vEBT_VEBT > $o ).

thf(func_def_1680,type,
    sK746: vEBT_VEBT > $o ).

thf(func_def_1681,type,
    sK747: nat > nat > nat ).

thf(func_def_1682,type,
    sK748: nat > nat > nat > nat ).

thf(func_def_1683,type,
    sK749: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_1684,type,
    sK750: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_1685,type,
    sK751: ( set_num > $o ) > set_num ).

thf(func_def_1686,type,
    sK752: ( set_num > $o ) > num ).

thf(func_def_1687,type,
    sK753: ( real > nat ) > real ).

thf(func_def_1688,type,
    sK754: ( real > nat ) > real ).

thf(func_def_1689,type,
    sK755: set_int > list_int > int ).

thf(func_def_1690,type,
    sK756: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > nat ).

thf(func_def_1691,type,
    sK757: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_1692,type,
    sK758: rat > nat ).

thf(func_def_1693,type,
    sK759: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1694,type,
    sK760: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1695,type,
    sK761: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1696,type,
    sK762: real > set_real > ( real > rat ) > real ).

thf(func_def_1697,type,
    sK763: set_set_nat > set_nat > set_nat ).

thf(func_def_1698,type,
    sK764: rat > rat ).

thf(func_def_1699,type,
    sK765: set_nat > nat ).

thf(func_def_1700,type,
    sK766: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1701,type,
    sK767: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1702,type,
    sK768: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1703,type,
    sK769: ( nat > real ) > nat ).

thf(func_def_1704,type,
    sK770: set_complex > ( complex > real ) > complex ).

thf(func_def_1705,type,
    sK771: nat > ( int > $o ) > int > int ).

thf(func_def_1706,type,
    sK772: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_1707,type,
    sK773: set_complex > ( complex > real ) > complex ).

thf(func_def_1708,type,
    sK774: int > int ).

thf(func_def_1709,type,
    sK775: ( int > $o ) > int ).

thf(func_def_1710,type,
    sK776: ( int > $o ) > $o ).

thf(func_def_1711,type,
    sK777: ( int > $o ) > int ).

thf(func_def_1712,type,
    sK778: real > real ).

thf(func_def_1713,type,
    sK779: ( real > real ) > real > real > real ).

thf(func_def_1714,type,
    sK780: ( real > real ) > real > real > real ).

thf(func_def_1715,type,
    sK781: real > ( real > real ) > real > real ).

thf(func_def_1716,type,
    sK782: real > ( real > real ) > real > real ).

thf(func_def_1717,type,
    sK783: real > ( real > real ) > ( real > real ) > real > real ).

thf(func_def_1718,type,
    sK784: int > set_int > int > int ).

thf(func_def_1719,type,
    sK785: int > set_int > int > int ).

thf(func_def_1720,type,
    sK786: option_nat > nat ).

thf(func_def_1721,type,
    sK787: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_1722,type,
    sK788: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_1723,type,
    sK789: ( code_integer > $o ) > code_integer > code_integer ).

thf(func_def_1724,type,
    sK790: ( code_integer > $o ) > code_integer > code_integer ).

thf(func_def_1725,type,
    sK791: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_1726,type,
    sK792: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_1727,type,
    sK793: set_int > set_int > ( int > complex ) > int ).

thf(func_def_1728,type,
    sK794: ( set_rat > $o ) > set_rat ).

thf(func_def_1729,type,
    sK795: ( set_rat > $o ) > rat ).

thf(func_def_1730,type,
    sK796: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1731,type,
    sK797: real > real ).

thf(func_def_1732,type,
    sK798: set_complex > ( real > real > $o ) > ( complex > real ) > ( complex > real ) > complex ).

thf(func_def_1733,type,
    sK799: ( real > real > $o ) > real ).

thf(func_def_1734,type,
    sK800: ( real > real > $o ) > real ).

thf(func_def_1735,type,
    sK801: ( real > real > $o ) > real ).

thf(func_def_1736,type,
    sK802: ( real > real > $o ) > real ).

thf(func_def_1737,type,
    sK803: ( nat > $o ) > nat ).

thf(func_def_1738,type,
    sK804: ( nat > $o ) > nat ).

thf(func_def_1739,type,
    sK805: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > nat ).

thf(func_def_1740,type,
    sK806: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > product_prod_nat_nat ).

thf(func_def_1741,type,
    sK807: ( set_real > $o ) > set_real > set_real ).

thf(func_def_1742,type,
    sK808: ( set_real > $o ) > set_real > real ).

thf(func_def_1743,type,
    sK809: ( real > real ) > real > real ).

thf(func_def_1744,type,
    sK810: nat > nat ).

thf(func_def_1745,type,
    sK811: real > real ).

thf(func_def_1746,type,
    sK812: ( real > nat ) > set_real > real ).

thf(func_def_1747,type,
    sK813: ( int > rat ) > set_int > int ).

thf(func_def_1748,type,
    sK814: vEBT_VEBT > $o ).

thf(func_def_1749,type,
    sK815: vEBT_VEBT > $o ).

thf(func_def_1750,type,
    sK816: set_int > int > ( int > $o ) > int ).

thf(func_def_1751,type,
    sK817: int > int > set_int > int ).

thf(func_def_1752,type,
    sK818: int > int > set_int > int ).

thf(func_def_1753,type,
    sK819: set_int > ( int > $o ) > int > int ).

thf(func_def_1754,type,
    sK820: real > int ).

thf(func_def_1755,type,
    sK821: set_int > int > int ).

thf(func_def_1756,type,
    sK822: set_real > ( real > int ) > real ).

thf(func_def_1757,type,
    sK823: ( real > $o ) > real > real ).

thf(func_def_1758,type,
    sK824: ( real > $o ) > real > real ).

thf(func_def_1759,type,
    sK825: ( real > $o ) > real > real ).

thf(func_def_1760,type,
    sK826: ( real > $o ) > real > real ).

thf(func_def_1761,type,
    sK827: vEBT_VEBT > $o ).

thf(func_def_1762,type,
    sK828: vEBT_VEBT > $o ).

thf(func_def_1763,type,
    sK829: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_1764,type,
    sK830: vEBT_VEBT > option_nat > nat > vEBT_VEBT ).

thf(func_def_1765,type,
    sK831: vEBT_VEBT > option_nat > nat > list_VEBT_VEBT ).

thf(func_def_1766,type,
    sK832: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_1767,type,
    sK833: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_1768,type,
    sK834: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1769,type,
    sK835: vEBT_VEBT > option_nat > nat > $o ).

thf(func_def_1770,type,
    sK836: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1771,type,
    sK837: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_1772,type,
    sK838: nat > nat ).

thf(func_def_1773,type,
    sK839: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1774,type,
    sK840: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1775,type,
    sK841: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1776,type,
    sK842: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1777,type,
    sK843: vEBT_VEBT > nat ).

thf(func_def_1778,type,
    sK844: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1779,type,
    sK845: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1780,type,
    sK846: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1781,type,
    sK847: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1782,type,
    sK848: vEBT_VEBT > nat > $o ).

thf(func_def_1783,type,
    sK849: vEBT_VEBT > nat > $o ).

thf(func_def_1784,type,
    sK850: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1785,type,
    sK851: vEBT_VEBT > nat ).

thf(func_def_1786,type,
    sK852: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1787,type,
    sK853: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1788,type,
    sK854: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1789,type,
    sK855: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1790,type,
    sK856: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1791,type,
    sK857: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1792,type,
    sK858: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1793,type,
    sK859: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1794,type,
    sK860: vEBT_VEBT > nat > nat ).

thf(func_def_1795,type,
    sK861: vEBT_VEBT > nat > nat ).

thf(func_def_1796,type,
    sK862: vEBT_VEBT > nat > nat ).

thf(func_def_1797,type,
    sK863: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1798,type,
    sK864: ( nat > real ) > real > nat ).

thf(func_def_1799,type,
    sK865: ( extended_enat > $o ) > extended_enat ).

thf(func_def_1800,type,
    sK866: ( num > real ) > num ).

thf(func_def_1801,type,
    sK867: ( num > real ) > num ).

thf(func_def_1802,type,
    sK868: nat > rat > ( nat > rat ) > nat ).

thf(func_def_1803,type,
    sK869: ( int > $o ) > int ).

thf(func_def_1804,type,
    sK870: ( int > $o ) > int > int ).

thf(func_def_1805,type,
    sK871: ( int > $o ) > int > int ).

thf(func_def_1806,type,
    sK872: ( int > $o ) > int > int ).

thf(func_def_1807,type,
    sK873: real > real ).

thf(func_def_1808,type,
    sK874: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1809,type,
    sK875: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1810,type,
    sK876: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1811,type,
    sK877: set_int > ( int > complex ) > int ).

thf(func_def_1812,type,
    sK878: ( int > real ) > ( real > int ) > set_real > set_real > real ).

thf(func_def_1813,type,
    sK879: ( real > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_1814,type,
    sK880: ( real > complex ) > set_real > real ).

thf(func_def_1815,type,
    sK881: ( int > complex ) > set_int > ( int > real ) > ( real > complex ) > int ).

thf(func_def_1816,type,
    sK882: set_real > set_int > ( int > real ) > set_real > set_int > int ).

thf(func_def_1817,type,
    sK883: ( real > int ) > set_real > set_int > set_real > set_int > real ).

thf(func_def_1818,type,
    sK884: nat > ( nat > nat ) > nat ).

thf(func_def_1819,type,
    sK885: nat > ( nat > nat ) > nat ).

thf(func_def_1820,type,
    sK886: ( num > num ) > num ).

thf(func_def_1821,type,
    sK887: ( num > num ) > num ).

thf(func_def_1822,type,
    sK888: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_1823,type,
    sK889: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_1824,type,
    sK890: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1825,type,
    sK891: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1826,type,
    sK892: vEBT_VEBT > $o > nat > nat ).

thf(func_def_1827,type,
    sK893: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_1828,type,
    sK894: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_1829,type,
    sK895: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_1830,type,
    sK896: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1831,type,
    sK897: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1832,type,
    sK898: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1833,type,
    sK899: nat > nat ).

thf(func_def_1834,type,
    sK900: ( rat > nat ) > rat ).

thf(func_def_1835,type,
    sK901: ( rat > nat ) > rat ).

thf(func_def_1836,type,
    sK902: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1837,type,
    sK903: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1838,type,
    sK904: real > real > real ).

thf(func_def_1839,type,
    sK905: produc8763457246119570046nteger > real > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > code_integer > option6357759511663192854e_term ).

thf(func_def_1840,type,
    sK906: produc8763457246119570046nteger > real > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8923325533196201883nteger ).

thf(func_def_1841,type,
    sK907: rat > rat ).

thf(func_def_1842,type,
    sK908: rat > rat ).

thf(func_def_1843,type,
    sK909: set_real > set_real > real ).

thf(func_def_1844,type,
    sK910: ( real > real ) > real > real ).

thf(func_def_1845,type,
    sK911: ( nat > nat ) > nat ).

thf(func_def_1846,type,
    sK912: ( rat > rat > $o ) > rat ).

thf(func_def_1847,type,
    sK913: ( rat > rat > $o ) > rat ).

thf(func_def_1848,type,
    sK914: ( rat > rat > $o ) > rat ).

thf(func_def_1849,type,
    sK915: ( rat > rat > $o ) > rat ).

thf(func_def_1850,type,
    sK916: set_complex > ( complex > real ) > complex ).

thf(func_def_1851,type,
    sK917: set_int > ( int > rat ) > int ).

thf(func_def_1852,type,
    sK918: int > int > set_int > int ).

thf(func_def_1853,type,
    sK919: int > int > set_int > int ).

thf(func_def_1854,type,
    sK920: set_complex > list_complex ).

thf(func_def_1855,type,
    sK921: ( complex > complex > $o ) > complex ).

thf(func_def_1856,type,
    sK922: ( complex > complex > $o ) > complex ).

thf(func_def_1857,type,
    sK923: ( complex > complex > $o ) > complex ).

thf(func_def_1858,type,
    sK924: ( complex > complex > $o ) > complex ).

thf(func_def_1859,type,
    sK925: ( int > complex ) > ( complex > complex > $o ) > ( int > complex ) > set_int > int ).

thf(func_def_1860,type,
    sK926: set_int > ( int > rat ) > int ).

thf(func_def_1861,type,
    sK927: set_int > ( nat > rat ) > set_nat > ( int > nat ) > ( int > rat ) > nat ).

thf(func_def_1862,type,
    sK928: ( num > real ) > num ).

thf(func_def_1863,type,
    sK929: ( num > real ) > num ).

thf(func_def_1864,type,
    sK930: ( real > nat ) > ( real > nat ) > real ).

thf(func_def_1865,type,
    sK931: int > int ).

thf(func_def_1866,type,
    sK932: int > nat ).

thf(func_def_1867,type,
    sK933: int > int ).

thf(func_def_1868,type,
    sK934: code_integer > code_integer > code_integer ).

thf(func_def_1869,type,
    sK935: ( nat > real ) > nat ).

thf(func_def_1870,type,
    sK936: ( nat > real ) > nat ).

thf(func_def_1871,type,
    sK937: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_1872,type,
    sK938: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1873,type,
    sK939: ( nat > nat ) > set_nat > nat ).

thf(func_def_1874,type,
    sK940: set_nat > list_nat > nat ).

thf(func_def_1875,type,
    sK941: ( num > int ) > num ).

thf(func_def_1876,type,
    sK942: ( num > int ) > num ).

thf(func_def_1877,type,
    sK943: option_num > num ).

thf(func_def_1878,type,
    sK944: ( num > num > num ) > option_num > option_num > option_num > num ).

thf(func_def_1879,type,
    sK945: ( num > num > num ) > option_num > option_num > option_num > num ).

thf(func_def_1880,type,
    sK946: set_nat > ( nat > rat ) > nat ).

thf(func_def_1881,type,
    sK947: set_nat > product_prod_int_int > ( int > int > set_set_nat ) > int ).

thf(func_def_1882,type,
    sK948: set_nat > product_prod_int_int > ( int > int > set_set_nat ) > int ).

thf(func_def_1883,type,
    sK949: ( nat > rat ) > nat ).

thf(func_def_1884,type,
    sK950: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1885,type,
    sK951: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1886,type,
    sK952: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_1887,type,
    sK953: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1888,type,
    sK954: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_1889,type,
    sK955: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1890,type,
    sK956: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1891,type,
    sK957: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1892,type,
    sK958: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1893,type,
    sK959: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1894,type,
    sK960: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1895,type,
    sK961: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1896,type,
    sK962: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1897,type,
    sK963: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1898,type,
    sK964: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1899,type,
    sK965: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1900,type,
    sK966: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_1901,type,
    sK967: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1902,type,
    sK968: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1903,type,
    sK969: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1904,type,
    sK970: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1905,type,
    sK971: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1906,type,
    sK972: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1907,type,
    sK973: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_1908,type,
    sK974: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1909,type,
    sK975: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1910,type,
    sK976: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1911,type,
    sK977: nat > vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_1912,type,
    sK978: int > nat ).

thf(func_def_1913,type,
    sK979: ( nat > complex ) > ( nat > real ) > set_nat > nat ).

thf(func_def_1914,type,
    sK980: nat > nat > nat ).

thf(func_def_1915,type,
    sK981: real > real ).

thf(func_def_1916,type,
    sK982: rat > rat ).

thf(func_def_1917,type,
    sK983: ( complex > int ) > set_complex > complex ).

thf(func_def_1918,type,
    sK984: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_1919,type,
    sK985: num > num ).

thf(func_def_1920,type,
    sK986: set_real > ( real > nat ) > real ).

thf(func_def_1921,type,
    sK987: ( nat > rat ) > nat ).

thf(func_def_1922,type,
    sK988: ( nat > rat ) > nat ).

thf(func_def_1923,type,
    sK989: set_nat > ( nat > rat ) > nat ).

thf(func_def_1924,type,
    sK990: ( nat > rat ) > rat > set_nat > rat > nat ).

thf(func_def_1925,type,
    sK991: set_complex > ( complex > rat ) > complex ).

thf(func_def_1926,type,
    sK992: set_nat > ( nat > rat ) > nat ).

thf(func_def_1927,type,
    sK993: real > int ).

thf(func_def_1928,type,
    sK994: set_complex > ( complex > int ) > ( complex > int ) > complex ).

thf(func_def_1929,type,
    sK995: ( rat > num ) > rat ).

thf(func_def_1930,type,
    sK996: ( rat > num ) > rat ).

thf(func_def_1931,type,
    sK997: rat > rat > rat ).

thf(func_def_1932,type,
    sK998: ( set_nat > $o ) > set_nat ).

thf(func_def_1933,type,
    sK999: product_prod_int_int > int ).

thf(func_def_1934,type,
    sK1000: product_prod_int_int > int ).

thf(func_def_1935,type,
    sK1001: nat > nat ).

thf(func_def_1936,type,
    sK1002: int > int ).

thf(func_def_1937,type,
    sK1003: ( nat > rat ) > nat ).

thf(func_def_1938,type,
    sK1004: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_1939,type,
    sK1005: ( nat > rat ) > set_nat > ( nat > rat ) > nat ).

thf(func_def_1940,type,
    sK1006: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_1941,type,
    sK1007: rat > rat > rat ).

thf(func_def_1942,type,
    sK1008: int > ( int > $o ) > int ).

thf(func_def_1943,type,
    sK1009: int > ( int > $o ) > int ).

thf(func_def_1944,type,
    sK1010: int > ( int > $o ) > int ).

thf(func_def_1945,type,
    sK1011: int > ( int > $o ) > int ).

thf(func_def_1946,type,
    sK1012: ( nat > real ) > real > real ).

thf(func_def_1947,type,
    sK1013: ( produc7773217078559923341nt_int > $o ) > int ).

thf(func_def_1948,type,
    sK1014: ( produc7773217078559923341nt_int > $o ) > int ).

thf(func_def_1949,type,
    sK1015: ( produc7773217078559923341nt_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_1950,type,
    sK1016: ( set_nat > $o ) > list_set_nat > set_nat ).

thf(func_def_1951,type,
    sK1017: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1952,type,
    sK1018: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_1953,type,
    sK1019: set_int > ( int > real ) > int ).

thf(func_def_1954,type,
    sK1020: complex > produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_complex ) > produc8923325533196201883nteger ).

thf(func_def_1955,type,
    sK1021: complex > produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_complex ) > code_integer > option6357759511663192854e_term ).

thf(func_def_1956,type,
    sK1022: real > nat > real ).

thf(func_def_1957,type,
    sK1023: ( nat > $o ) > nat ).

thf(func_def_1958,type,
    sK1024: ( rat > real ) > rat ).

thf(func_def_1959,type,
    sK1025: ( rat > real ) > rat ).

thf(func_def_1960,type,
    sK1026: ( nat > nat ) > nat ).

thf(func_def_1961,type,
    sK1027: ( nat > nat ) > nat ).

thf(func_def_1962,type,
    sK1028: num > num ).

thf(func_def_1963,type,
    sK1029: list_int > ( int > $o ) > int ).

thf(func_def_1964,type,
    sK1030: ( nat > real ) > real ).

thf(func_def_1965,type,
    sK1031: ( nat > real ) > nat ).

thf(func_def_1966,type,
    sK1032: ( nat > real ) > nat ).

thf(func_def_1967,type,
    sK1033: ( int > int > $o ) > int ).

thf(func_def_1968,type,
    sK1034: ( int > int > $o ) > int ).

thf(func_def_1969,type,
    sK1035: ( int > int > $o ) > int ).

thf(func_def_1970,type,
    sK1036: ( int > int > $o ) > int ).

thf(func_def_1971,type,
    sK1037: ( nat > $o ) > list_nat > nat ).

thf(func_def_1972,type,
    sK1038: ( nat > $o ) > list_nat > nat ).

thf(func_def_1973,type,
    sK1039: real > real > nat ).

thf(func_def_1974,type,
    sK1040: set_real > real > ( real > real ) > real ).

thf(func_def_1975,type,
    sK1041: nat > ( nat > nat ) > nat ).

thf(func_def_1976,type,
    sK1042: nat > ( nat > nat ) > nat ).

thf(func_def_1977,type,
    sK1043: nat > ( nat > nat ) > nat ).

thf(func_def_1978,type,
    sK1044: nat > ( nat > nat ) > nat ).

thf(func_def_1979,type,
    sK1045: nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_1980,type,
    sK1046: set_nat > ( nat > nat ) > nat ).

thf(func_def_1981,type,
    sK1047: set_real > ( real > int ) > set_real > real ).

thf(func_def_1982,type,
    sK1048: ( real > int ) > set_real > set_real > real ).

thf(func_def_1983,type,
    sK1049: nat > ( nat > $o ) > nat ).

thf(func_def_1984,type,
    sK1050: nat > ( nat > $o ) > nat ).

thf(func_def_1985,type,
    sK1051: set_int > int ).

thf(func_def_1986,type,
    sK1052: nat > nat ).

thf(func_def_1987,type,
    sK1053: ( nat > rat ) > set_nat > nat ).

thf(func_def_1988,type,
    sK1054: ( nat > rat ) > set_nat > nat ).

thf(func_def_1989,type,
    sK1055: set_num > num ).

thf(func_def_1990,type,
    sK1056: ( real > $o ) > list_real > real ).

thf(func_def_1991,type,
    sK1057: ( real > real ) > real ).

thf(func_def_1992,type,
    sK1058: ( real > real ) > real ).

thf(func_def_1993,type,
    sK1059: set_nat > ( nat > rat ) > set_nat > nat ).

thf(func_def_1994,type,
    sK1060: ( int > rat ) > set_int > int ).

thf(func_def_1995,type,
    sK1061: ( nat > num ) > nat ).

thf(func_def_1996,type,
    sK1062: ( nat > num ) > nat ).

thf(func_def_1997,type,
    sK1063: real > real > nat ).

thf(func_def_1998,type,
    sK1064: produc1908205239877642774nteger > code_integer ).

thf(func_def_1999,type,
    sK1065: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2000,type,
    sK1066: produc1908205239877642774nteger > code_integer ).

thf(func_def_2001,type,
    sK1067: ( int > int > set_int ) > product_prod_int_int > int > int ).

thf(func_def_2002,type,
    sK1068: ( int > int > set_int ) > product_prod_int_int > int > int ).

thf(func_def_2003,type,
    sK1069: ( real > real ) > real > real ).

thf(func_def_2004,type,
    sK1070: ( nat > num ) > nat ).

thf(func_def_2005,type,
    sK1071: ( nat > num ) > nat ).

thf(func_def_2006,type,
    sK1072: ( real > real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2007,type,
    sK1073: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_2008,type,
    sK1074: real > ( real > real ) > real > real ).

thf(func_def_2009,type,
    sK1075: int > int > int ).

thf(func_def_2010,type,
    sK1076: int > int > int ).

thf(func_def_2011,type,
    sK1077: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_2012,type,
    sK1078: produc8306885398267862888on_nat > nat ).

thf(func_def_2013,type,
    sK1079: produc8306885398267862888on_nat > nat ).

thf(func_def_2014,type,
    sK1080: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_2015,type,
    sK1081: produc8306885398267862888on_nat > nat ).

thf(func_def_2016,type,
    sK1082: produc8306885398267862888on_nat > option_nat ).

thf(func_def_2017,type,
    sK1083: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_2018,type,
    sK1084: nat > set_nat > nat ).

thf(func_def_2019,type,
    sK1085: real > set_real > real ).

thf(func_def_2020,type,
    sK1086: set_real > real ).

thf(func_def_2021,type,
    sK1087: real > set_real > real ).

thf(func_def_2022,type,
    sK1088: set_real > ( real > real ) > real ).

thf(func_def_2023,type,
    sK1089: ( set_rat > $o ) > set_rat ).

thf(func_def_2024,type,
    sK1090: ( set_rat > $o ) > rat ).

thf(func_def_2025,type,
    sK1091: ( num > nat ) > num ).

thf(func_def_2026,type,
    sK1092: ( num > nat ) > num ).

thf(func_def_2027,type,
    sK1093: ( set_num > $o ) > set_num ).

thf(func_def_2028,type,
    sK1094: ( set_num > $o ) > num ).

thf(func_def_2029,type,
    sK1095: set_rat > rat > rat ).

thf(func_def_2030,type,
    sK1096: ( rat > int ) > rat ).

thf(func_def_2031,type,
    sK1097: ( rat > int ) > rat ).

thf(func_def_2032,type,
    sK1098: set_set_nat > set_set_nat > set_nat ).

thf(func_def_2033,type,
    sK1099: ( real > rat ) > set_real > set_real > real ).

thf(func_def_2034,type,
    sK1100: set_real > ( real > rat ) > set_real > real ).

thf(func_def_2035,type,
    sK1101: set_int > ( int > rat ) > int ).

thf(func_def_2036,type,
    sK1102: int > int ).

thf(func_def_2037,type,
    sK1103: rat > rat ).

thf(func_def_2038,type,
    sK1104: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2039,type,
    sK1105: nat > nat > nat ).

thf(func_def_2040,type,
    sK1106: ( real > int ) > real ).

thf(func_def_2041,type,
    sK1107: ( real > int ) > real ).

thf(func_def_2042,type,
    sK1108: set_nat > set_nat > nat ).

thf(func_def_2043,type,
    sK1109: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > nat > produc8923325533196201883nteger ).

thf(func_def_2044,type,
    sK1110: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > nat > code_integer > option6357759511663192854e_term ).

thf(func_def_2045,type,
    sK1111: ( rat > num ) > rat ).

thf(func_def_2046,type,
    sK1112: ( rat > num ) > rat ).

thf(func_def_2047,type,
    sK1113: ( num > rat ) > num ).

thf(func_def_2048,type,
    sK1114: ( num > rat ) > num ).

thf(func_def_2049,type,
    sK1115: ( real > real > $o ) > real > real > real ).

thf(func_def_2050,type,
    sK1116: real > ( real > real > $o ) > real > real > real ).

thf(func_def_2051,type,
    sK1117: real > ( real > real > $o ) > real > real > real ).

thf(func_def_2052,type,
    sK1118: ( real > real > $o ) > real ).

thf(func_def_2053,type,
    sK1119: ( real > real > $o ) > real ).

thf(func_def_2054,type,
    sK1120: ( real > real > $o ) > real ).

thf(func_def_2055,type,
    sK1121: ( nat > $o ) > nat > nat ).

thf(func_def_2056,type,
    sK1122: ( int > rat ) > ( set_int > $o ) > set_int ).

thf(func_def_2057,type,
    sK1123: ( int > rat ) > ( set_int > $o ) > int ).

thf(func_def_2058,type,
    sK1124: set_nat > nat > nat ).

thf(func_def_2059,type,
    sK1125: ( real > real ) > real > real > real ).

thf(func_def_2060,type,
    sK1126: real > ( real > real ) > real > real ).

thf(func_def_2061,type,
    sK1127: ( real > real ) > real > real > real ).

thf(func_def_2062,type,
    sK1128: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2063,type,
    sK1129: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2064,type,
    sK1130: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2065,type,
    sK1131: real > ( real > real ) > real > real ).

thf(func_def_2066,type,
    sK1132: ( int > code_integer ) > set_int > int ).

thf(func_def_2067,type,
    sK1133: code_integer > code_integer > ( int > code_integer ) > set_int > int ).

thf(func_def_2068,type,
    sK1134: nat > nat > nat ).

thf(func_def_2069,type,
    sK1135: nat > list_VEBT_VEBT ).

thf(func_def_2070,type,
    sK1136: num > num ).

thf(func_def_2071,type,
    sK1137: real > real ).

thf(func_def_2072,type,
    sK1138: ( nat > real ) > nat > int ).

thf(func_def_2073,type,
    sK1139: ( complex > real ) > set_complex > ( complex > complex ) > complex ).

thf(func_def_2074,type,
    sK1140: list_complex > ( complex > $o ) > complex ).

thf(func_def_2075,type,
    sK1141: set_complex > ( complex > real ) > set_complex > complex ).

thf(func_def_2076,type,
    sK1142: ( real > num ) > ( set_real > $o ) > set_real ).

thf(func_def_2077,type,
    sK1143: ( real > num ) > ( set_real > $o ) > real ).

thf(func_def_2078,type,
    sK1144: nat > produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > code_integer > option6357759511663192854e_term ).

thf(func_def_2079,type,
    sK1145: nat > produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8923325533196201883nteger ).

thf(func_def_2080,type,
    sK1146: nat > set_nat > nat ).

thf(func_def_2081,type,
    sK1147: ( rat > rat > $o ) > set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_2082,type,
    sK1148: ( rat > rat > $o ) > rat ).

thf(func_def_2083,type,
    sK1149: ( rat > rat > $o ) > rat ).

thf(func_def_2084,type,
    sK1150: ( rat > rat > $o ) > rat ).

thf(func_def_2085,type,
    sK1151: ( rat > rat > $o ) > rat ).

thf(func_def_2086,type,
    sK1152: int > int > set_int > int ).

thf(func_def_2087,type,
    sK1153: int > int > set_int > int ).

thf(func_def_2088,type,
    sK1154: ( real > num ) > real ).

thf(func_def_2089,type,
    sK1155: ( real > num ) > real ).

thf(func_def_2090,type,
    sK1156: set_complex > ( complex > rat ) > complex ).

thf(func_def_2091,type,
    sK1157: set_complex > ( complex > rat ) > complex ).

thf(func_def_2092,type,
    sK1158: ( nat > nat > $o ) > nat ).

thf(func_def_2093,type,
    sK1159: ( nat > nat > $o ) > nat ).

thf(func_def_2094,type,
    sK1160: ( nat > nat > $o ) > nat ).

thf(func_def_2095,type,
    sK1161: product_prod_nat_nat > nat ).

thf(func_def_2096,type,
    sK1162: product_prod_nat_nat > nat ).

thf(func_def_2097,type,
    sK1163: real > list_real > nat ).

thf(func_def_2098,type,
    sK1164: ( real > real ) > real > real > real ).

thf(func_def_2099,type,
    sK1165: int > nat ).

thf(func_def_2100,type,
    sK1166: set_complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_2101,type,
    sK1167: real > ( real > real ) > real > real ).

thf(func_def_2102,type,
    sK1168: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_2103,type,
    sK1169: produc2233624965454879586on_nat > nat ).

thf(func_def_2104,type,
    sK1170: produc2233624965454879586on_nat > nat ).

thf(func_def_2105,type,
    sK1171: produc2233624965454879586on_nat > nat ).

thf(func_def_2106,type,
    sK1172: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_2107,type,
    sK1173: produc2233624965454879586on_nat > option_nat ).

thf(func_def_2108,type,
    sK1174: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_2109,type,
    sK1175: complex > ( int > int > set_complex ) > product_prod_int_int > int ).

thf(func_def_2110,type,
    sK1176: complex > ( int > int > set_complex ) > product_prod_int_int > int ).

thf(func_def_2111,type,
    sK1177: set_real > ( real > real ) > real ).

thf(func_def_2112,type,
    sK1178: ( nat > real ) > set_nat > ( nat > real ) > nat ).

thf(func_def_2113,type,
    sK1179: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2114,type,
    sK1180: set_nat > code_integer > code_integer > ( nat > code_integer ) > nat ).

thf(func_def_2115,type,
    sK1181: rat > rat > nat ).

thf(func_def_2116,type,
    sK1182: ( nat > num ) > nat ).

thf(func_def_2117,type,
    sK1183: int > int > int > int ).

thf(func_def_2118,type,
    sK1184: int > int > int > int ).

thf(func_def_2119,type,
    sK1185: vEBT_VEBT > $o ).

thf(func_def_2120,type,
    sK1186: vEBT_VEBT > $o ).

thf(func_def_2121,type,
    sK1187: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_2122,type,
    sK1188: nat > nat ).

thf(func_def_2123,type,
    sK1189: real > real ).

thf(func_def_2124,type,
    sK1190: ( int > int > $o ) > int ).

thf(func_def_2125,type,
    sK1191: ( int > int > $o ) > int ).

thf(func_def_2126,type,
    sK1192: ( nat > $o ) > nat > nat ).

thf(func_def_2127,type,
    sK1193: ( nat > $o ) > nat > nat ).

thf(func_def_2128,type,
    sK1194: int > int ).

thf(func_def_2129,type,
    sK1195: set_real > ( real > rat ) > real ).

thf(func_def_2130,type,
    sK1196: vEBT_VEBT > nat > $o ).

thf(func_def_2131,type,
    sK1197: vEBT_VEBT > nat > $o ).

thf(func_def_2132,type,
    sK1198: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2133,type,
    sK1199: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2134,type,
    sK1200: vEBT_VEBT > nat > nat ).

thf(func_def_2135,type,
    sK1201: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2136,type,
    sK1202: nat > nat > nat ).

thf(func_def_2137,type,
    sK1203: ( int > real ) > ( real > real ) > ( int > real ) > set_int > int ).

thf(func_def_2138,type,
    sK1204: ( real > int ) > set_int > set_int > set_real > set_real > real ).

thf(func_def_2139,type,
    sK1205: ( int > real ) > set_int > int ).

thf(func_def_2140,type,
    sK1206: set_real > ( real > real ) > real ).

thf(func_def_2141,type,
    sK1207: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_2142,type,
    sK1208: set_int > set_int > ( int > real ) > ( real > int ) > int ).

thf(func_def_2143,type,
    sK1209: ( int > real ) > set_real > set_real > ( real > int ) > real ).

thf(func_def_2144,type,
    sK1210: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2145,type,
    sK1211: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2146,type,
    sK1212: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2147,type,
    sK1213: set_nat > set_nat > nat ).

thf(func_def_2148,type,
    sK1214: ( nat > real ) > nat ).

thf(func_def_2149,type,
    sK1215: ( nat > real ) > real > nat ).

thf(func_def_2150,type,
    sK1216: ( nat > real ) > real > real ).

thf(func_def_2151,type,
    sK1217: ( int > int > $o ) > int ).

thf(func_def_2152,type,
    sK1218: ( int > int > $o ) > int ).

thf(func_def_2153,type,
    sK1219: ( int > int > $o ) > int ).

thf(func_def_2154,type,
    sK1220: ( int > int > $o ) > int ).

thf(func_def_2155,type,
    sK1221: ( int > int > $o ) > int ).

thf(func_def_2156,type,
    sK1222: ( nat > rat ) > nat ).

thf(func_def_2157,type,
    sK1223: ( nat > rat ) > nat ).

thf(func_def_2158,type,
    sK1224: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2159,type,
    sK1225: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2160,type,
    sK1226: ( int > rat ) > int ).

thf(func_def_2161,type,
    sK1227: ( int > rat ) > int ).

thf(func_def_2162,type,
    sK1228: int > int > set_int > int ).

thf(func_def_2163,type,
    sK1229: int > int > set_int > int ).

thf(func_def_2164,type,
    sK1230: ( real > nat ) > set_real > real ).

thf(func_def_2165,type,
    sK1231: list_int > ( int > $o ) > int ).

thf(func_def_2166,type,
    sK1232: ( rat > int ) > rat ).

thf(func_def_2167,type,
    sK1233: ( rat > int ) > rat ).

thf(func_def_2168,type,
    sK1234: set_complex > ( complex > rat ) > complex ).

thf(func_def_2169,type,
    sK1235: ( nat > real > real ) > nat ).

thf(func_def_2170,type,
    sK1236: ( nat > real > real ) > real ).

thf(func_def_2171,type,
    sK1237: ( real > real ) > real > ( nat > real > real ) > nat > real ).

thf(func_def_2172,type,
    sK1238: set_int > ( int > rat ) > int ).

thf(func_def_2173,type,
    sK1239: set_int > ( int > int ) > ( int > rat ) > set_int > ( int > rat ) > int ).

thf(func_def_2174,type,
    sK1240: filter_nat > nat ).

thf(func_def_2175,type,
    sK1241: ( int > $o ) > int > int ).

thf(func_def_2176,type,
    sK1242: ( int > rat ) > set_int > int ).

thf(func_def_2177,type,
    sK1243: ( int > rat ) > set_int > int ).

thf(func_def_2178,type,
    sK1244: ( num > rat ) > num ).

thf(func_def_2179,type,
    sK1245: ( num > rat ) > num ).

thf(func_def_2180,type,
    sK1246: produc8763457246119570046nteger > int > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8923325533196201883nteger ).

thf(func_def_2181,type,
    sK1247: produc8763457246119570046nteger > int > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > code_integer > option6357759511663192854e_term ).

thf(func_def_2182,type,
    sK1248: ( rat > nat ) > rat ).

thf(func_def_2183,type,
    sK1249: ( rat > nat ) > rat ).

thf(func_def_2184,type,
    sK1250: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2185,type,
    sK1251: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2186,type,
    sK1252: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2187,type,
    sK1253: ( rat > rat ) > rat ).

thf(func_def_2188,type,
    sK1254: ( rat > rat ) > rat ).

thf(func_def_2189,type,
    sK1255: rat > int ).

thf(func_def_2190,type,
    sK1256: set_int > ( int > complex ) > int ).

thf(func_def_2191,type,
    sK1257: ( real > rat ) > set_real > real ).

thf(func_def_2192,type,
    sK1258: ( real > rat ) > set_real > real ).

thf(func_def_2193,type,
    sK1259: rat > int ).

thf(func_def_2194,type,
    sK1260: ( nat > rat ) > nat ).

thf(func_def_2195,type,
    sK1261: ( nat > rat ) > nat ).

thf(func_def_2196,type,
    sK1262: ( $o > $o ) > product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_2197,type,
    sK1263: ( $o > $o ) > product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_2198,type,
    sK1264: rat > int ).

thf(func_def_2199,type,
    sK1265: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_2200,type,
    sK1266: ( real > real ) > real ).

thf(func_def_2201,type,
    sK1267: ( real > real ) > real ).

thf(func_def_2202,type,
    sK1268: ( complex > real ) > set_complex > complex ).

thf(func_def_2203,type,
    sK1269: set_int > int ).

thf(func_def_2204,type,
    sK1270: ( complex > int ) > set_complex > ( complex > int ) > complex ).

thf(func_def_2205,type,
    sK1271: int > int ).

thf(func_def_2206,type,
    sK1272: set_nat > ( nat > complex ) > nat ).

thf(func_def_2207,type,
    sK1273: ( num > num > $o ) > num ).

thf(func_def_2208,type,
    sK1274: ( num > num > $o ) > num ).

thf(func_def_2209,type,
    sK1275: ( num > num > $o ) > num ).

thf(func_def_2210,type,
    sK1276: ( num > num > $o ) > num ).

thf(func_def_2211,type,
    sK1277: ( num > num > $o ) > num ).

thf(func_def_2212,type,
    sK1278: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_2213,type,
    sK1279: ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_2214,type,
    sK1280: ( nat > nat > $o ) > nat ).

thf(func_def_2215,type,
    sK1281: ( nat > nat > $o ) > nat ).

thf(func_def_2216,type,
    sK1282: ( nat > nat > $o ) > nat ).

thf(func_def_2217,type,
    sK1283: ( nat > nat > $o ) > nat ).

thf(func_def_2218,type,
    sK1284: ( rat > $o ) > rat > rat ).

thf(func_def_2219,type,
    sK1285: ( rat > $o ) > rat > rat ).

thf(func_def_2220,type,
    sK1286: real > ( nat > real ) > nat ).

thf(func_def_2221,type,
    sK1287: complex > int ).

thf(func_def_2222,type,
    sK1288: int > int > int ).

thf(func_def_2223,type,
    sK1289: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_2224,type,
    sK1290: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2225,type,
    sK1291: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2226,type,
    sK1292: set_real > ( real > complex ) > set_real > real ).

thf(func_def_2227,type,
    sK1293: set_real > ( real > complex ) > set_real > real ).

thf(func_def_2228,type,
    sK1294: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2229,type,
    sK1295: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2230,type,
    sK1296: option_nat > vEBT_VEBT > nat ).

thf(func_def_2231,type,
    sK1297: vEBT_VEBT > option_nat > $o ).

thf(func_def_2232,type,
    sK1298: vEBT_VEBT > option_nat > $o ).

thf(func_def_2233,type,
    sK1299: vEBT_VEBT > option_nat > nat ).

thf(func_def_2234,type,
    sK1300: vEBT_VEBT > option_nat > nat ).

thf(func_def_2235,type,
    sK1301: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_2236,type,
    sK1302: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_2237,type,
    sK1303: vEBT_VEBT > option_nat > nat ).

thf(func_def_2238,type,
    sK1304: set_real > set_real > ( real > real ) > real ).

thf(func_def_2239,type,
    sK1305: ( real > real ) > set_real > set_real > real ).

thf(func_def_2240,type,
    sK1306: int > ( int > $o ) > int ).

thf(func_def_2241,type,
    sK1307: ( int > $o ) > int > int ).

thf(func_def_2242,type,
    sK1308: ( nat > set_int ) > nat ).

thf(func_def_2243,type,
    sK1309: int > int ).

thf(func_def_2244,type,
    sK1310: set_real > ( real > rat ) > real ).

thf(func_def_2245,type,
    sK1311: ( real > real ) > set_real > real ).

thf(func_def_2246,type,
    sK1312: ( num > rat ) > num ).

thf(func_def_2247,type,
    sK1313: ( num > rat ) > num ).

thf(func_def_2248,type,
    sK1314: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_2249,type,
    sK1315: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_2250,type,
    sK1316: real > real > ( real > real ) > real ).

thf(func_def_2251,type,
    sK1317: real > real > ( real > real ) > real ).

thf(func_def_2252,type,
    sK1318: ( num > num ) > num ).

thf(func_def_2253,type,
    sK1319: ( num > num ) > num ).

thf(func_def_2254,type,
    sK1320: int > set_int > int ).

thf(func_def_2255,type,
    sK1321: option_nat > nat ).

thf(func_def_2256,type,
    sK1322: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2257,type,
    sK1323: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2258,type,
    sK1324: ( produc1908205239877642774nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_2259,type,
    sK1325: ( produc1908205239877642774nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2260,type,
    sK1326: ( complex > rat ) > set_complex > complex ).

thf(func_def_2261,type,
    sK1327: real > real > real ).

thf(func_def_2262,type,
    sK1328: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_2263,type,
    sK1329: set_complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_2264,type,
    sK1330: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2265,type,
    sK1331: list_VEBT_VEBT > nat ).

thf(func_def_2266,type,
    sK1332: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2267,type,
    sK1333: vEBT_VEBT > nat ).

thf(func_def_2268,type,
    sK1334: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).

thf(func_def_2269,type,
    sK1335: ( nat > nat ) > nat ).

thf(func_def_2270,type,
    sK1336: ( nat > nat ) > nat ).

thf(func_def_2271,type,
    sK1337: real > ( real > real ) > real ).

thf(func_def_2272,type,
    sK1338: ( nat > int ) > nat ).

thf(func_def_2273,type,
    sK1339: real > ( nat > real ) > nat ).

thf(func_def_2274,type,
    sK1340: ( nat > real ) > real ).

thf(func_def_2275,type,
    sK1341: ( nat > int ) > set_nat > ( int > int > $o ) > ( nat > int ) > nat ).

thf(func_def_2276,type,
    sK1342: ( int > int > $o ) > int ).

thf(func_def_2277,type,
    sK1343: ( int > int > $o ) > int ).

thf(func_def_2278,type,
    sK1344: ( int > int > $o ) > int ).

thf(func_def_2279,type,
    sK1345: ( int > int > $o ) > int ).

thf(func_def_2280,type,
    sK1346: real > real > real ).

thf(func_def_2281,type,
    sK1347: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2282,type,
    sK1348: produc9072475918466114483BT_nat > nat ).

thf(func_def_2283,type,
    sK1349: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2284,type,
    sK1350: produc9072475918466114483BT_nat > nat ).

thf(func_def_2285,type,
    sK1351: produc9072475918466114483BT_nat > nat ).

thf(func_def_2286,type,
    sK1352: produc9072475918466114483BT_nat > nat ).

thf(func_def_2287,type,
    sK1353: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2288,type,
    sK1354: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2289,type,
    sK1355: produc9072475918466114483BT_nat > nat ).

thf(func_def_2290,type,
    sK1356: produc9072475918466114483BT_nat > nat ).

thf(func_def_2291,type,
    sK1357: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2292,type,
    sK1358: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_2293,type,
    sK1359: produc9072475918466114483BT_nat > nat ).

thf(func_def_2294,type,
    sK1360: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2295,type,
    sK1361: produc9072475918466114483BT_nat > $o ).

thf(func_def_2296,type,
    sK1362: produc9072475918466114483BT_nat > $o ).

thf(func_def_2297,type,
    sK1363: produc9072475918466114483BT_nat > nat ).

thf(func_def_2298,type,
    sK1364: produc9072475918466114483BT_nat > $o ).

thf(func_def_2299,type,
    sK1365: produc9072475918466114483BT_nat > $o ).

thf(func_def_2300,type,
    sK1366: produc9072475918466114483BT_nat > nat ).

thf(func_def_2301,type,
    sK1367: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2302,type,
    sK1368: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2303,type,
    sK1369: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_2304,type,
    sK1370: int > list_int > nat ).

thf(func_def_2305,type,
    sK1371: ( int > real ) > set_int > int ).

thf(func_def_2306,type,
    sK1372: set_complex > set_complex > ( complex > rat ) > complex ).

thf(func_def_2307,type,
    sK1373: ( complex > rat ) > set_complex > ( complex > rat ) > complex ).

thf(func_def_2308,type,
    sK1374: list_nat > list_nat > nat ).

thf(func_def_2309,type,
    sK1375: nat > list_o ).

thf(func_def_2310,type,
    sK1376: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2311,type,
    sK1377: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2312,type,
    sK1378: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2313,type,
    sK1379: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_2314,type,
    sK1380: real > real ).

thf(func_def_2315,type,
    sK1381: ( produc8763457246119570046nteger > $o ) > code_integer > option6357759511663192854e_term ).

thf(func_def_2316,type,
    sK1382: ( produc8763457246119570046nteger > $o ) > code_integer ).

thf(func_def_2317,type,
    sK1383: ( produc8763457246119570046nteger > $o ) > code_integer ).

thf(func_def_2318,type,
    sK1384: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_2319,type,
    sK1385: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2320,type,
    sK1386: set_real > ( real > rat ) > set_real > real ).

thf(func_def_2321,type,
    sK1387: option_num > num ).

thf(func_def_2322,type,
    sK1388: rat > rat ).

thf(func_def_2323,type,
    sK1389: int > nat ).

thf(func_def_2324,type,
    sK1390: ( rat > nat ) > rat ).

thf(func_def_2325,type,
    sK1391: ( rat > nat ) > rat ).

thf(func_def_2326,type,
    sK1392: real > nat ).

thf(func_def_2327,type,
    sK1393: nat > list_nat ).

thf(func_def_2328,type,
    sK1394: nat > vEBT_VEBT > nat ).

thf(func_def_2329,type,
    sK1395: nat > vEBT_VEBT > nat ).

thf(func_def_2330,type,
    sK1396: nat > vEBT_VEBT > nat ).

thf(func_def_2331,type,
    sK1397: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2332,type,
    sK1398: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2333,type,
    sK1399: nat > vEBT_VEBT > nat ).

thf(func_def_2334,type,
    sK1400: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2335,type,
    sK1401: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2336,type,
    sK1402: nat > vEBT_VEBT > nat ).

thf(func_def_2337,type,
    sK1403: nat > vEBT_VEBT > nat ).

thf(func_def_2338,type,
    sK1404: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2339,type,
    sK1405: vEBT_VEBT > nat > nat ).

thf(func_def_2340,type,
    sK1406: vEBT_VEBT > nat > nat ).

thf(func_def_2341,type,
    sK1407: vEBT_VEBT > nat > nat ).

thf(func_def_2342,type,
    sK1408: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2343,type,
    sK1409: vEBT_VEBT > nat > nat ).

thf(func_def_2344,type,
    sK1410: vEBT_VEBT > nat > nat ).

thf(func_def_2345,type,
    sK1411: nat > vEBT_VEBT > nat ).

thf(func_def_2346,type,
    sK1412: nat > vEBT_VEBT > nat ).

thf(func_def_2347,type,
    sK1413: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2348,type,
    sK1414: nat > vEBT_VEBT > nat ).

thf(func_def_2349,type,
    sK1415: nat > vEBT_VEBT > nat ).

thf(func_def_2350,type,
    sK1416: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2351,type,
    sK1417: nat > vEBT_VEBT > nat ).

thf(func_def_2352,type,
    sK1418: nat > list_VEBT_VEBT > nat ).

thf(func_def_2353,type,
    sK1419: nat > list_VEBT_VEBT > nat ).

thf(func_def_2354,type,
    sK1420: vEBT_VEBT > $o ).

thf(func_def_2355,type,
    sK1421: vEBT_VEBT > $o ).

thf(func_def_2356,type,
    sK1422: ( num > rat ) > num ).

thf(func_def_2357,type,
    sK1423: ( num > rat ) > num ).

thf(func_def_2358,type,
    sK1424: $o > vEBT_VEBT > nat > $o ).

thf(func_def_2359,type,
    sK1425: $o > vEBT_VEBT > nat > $o ).

thf(func_def_2360,type,
    sK1426: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2361,type,
    sK1427: vEBT_VEBT > nat > $o > option4927543243414619207at_nat ).

thf(func_def_2362,type,
    sK1428: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_2363,type,
    sK1429: vEBT_VEBT > nat > $o > nat ).

thf(func_def_2364,type,
    sK1430: vEBT_VEBT > nat > $o > list_VEBT_VEBT ).

thf(func_def_2365,type,
    sK1431: real > real ).

thf(func_def_2366,type,
    sK1432: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_complex ) > complex > int > option6357759511663192854e_term ).

thf(func_def_2367,type,
    sK1433: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_complex ) > complex > product_prod_int_int ).

thf(func_def_2368,type,
    sK1434: nat > nat ).

thf(func_def_2369,type,
    sK1435: nat > nat > nat ).

thf(func_def_2370,type,
    sK1436: ( nat > real ) > nat ).

thf(func_def_2371,type,
    sK1437: ( nat > real ) > nat ).

thf(func_def_2372,type,
    sK1438: ( real > nat ) > set_real > ( real > nat ) > real ).

thf(func_def_2373,type,
    sK1439: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2374,type,
    sK1440: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2375,type,
    sK1441: nat > nat ).

thf(func_def_2376,type,
    sK1442: ( rat > num ) > rat ).

thf(func_def_2377,type,
    sK1443: ( rat > num ) > rat ).

thf(func_def_2378,type,
    sK1444: list_int > ( int > $o ) > int ).

thf(func_def_2379,type,
    sK1445: list_int > ( int > $o ) > nat ).

thf(func_def_2380,type,
    sK1446: list_VEBT_VEBT > set_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2381,type,
    sK1447: real > nat ).

thf(func_def_2382,type,
    sK1448: ( vEBT_VEBT > $o ) > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2383,type,
    sK1449: real > int ).

thf(func_def_2384,type,
    sK1450: real > nat > real ).

thf(func_def_2385,type,
    sK1451: int > int > int ).

thf(func_def_2386,type,
    sK1452: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2387,type,
    sK1453: ( int > $o ) > int ).

thf(func_def_2388,type,
    sK1454: int > ( int > $o ) > int ).

thf(func_def_2389,type,
    sK1455: int > ( int > $o ) > int ).

thf(func_def_2390,type,
    sK1456: ( real > rat ) > set_real > real ).

thf(func_def_2391,type,
    sK1457: real > int ).

thf(func_def_2392,type,
    sK1458: option_nat > vEBT_VEBT > nat > nat ).

thf(func_def_2393,type,
    sK1459: option_nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2394,type,
    sK1460: option_nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2395,type,
    sK1461: vEBT_VEBT > option_nat > nat > list_VEBT_VEBT ).

thf(func_def_2396,type,
    sK1462: vEBT_VEBT > option_nat > nat > product_prod_nat_nat ).

thf(func_def_2397,type,
    sK1463: vEBT_VEBT > option_nat > nat > vEBT_VEBT ).

thf(func_def_2398,type,
    sK1464: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_2399,type,
    sK1465: nat > vEBT_VEBT > option_nat > $o ).

thf(func_def_2400,type,
    sK1466: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_2401,type,
    sK1467: nat > option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2402,type,
    sK1468: nat > option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2403,type,
    sK1469: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_2404,type,
    sK1470: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_2405,type,
    sK1471: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_2406,type,
    sK1472: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_2407,type,
    sK1473: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_2408,type,
    sK1474: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_2409,type,
    sK1475: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_2410,type,
    sK1476: option_nat > vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_2411,type,
    sK1477: option_nat > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2412,type,
    sK1478: option_nat > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2413,type,
    sK1479: ( int > real ) > set_int > ( int > real ) > int ).

thf(func_def_2414,type,
    sK1480: set_complex > set_complex > ( complex > real ) > complex ).

thf(func_def_2415,type,
    sK1481: ( int > int > int ) > ( product_prod_int_int > int ) > int ).

thf(func_def_2416,type,
    sK1482: ( int > int > int ) > ( product_prod_int_int > int ) > int ).

thf(func_def_2417,type,
    sK1483: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2418,type,
    sK1484: nat > vEBT_VEBT > nat ).

thf(func_def_2419,type,
    sK1485: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2420,type,
    sK1486: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2421,type,
    sK1487: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2422,type,
    sK1488: vEBT_VEBT > $o ).

thf(func_def_2423,type,
    sK1489: vEBT_VEBT > $o ).

thf(func_def_2424,type,
    sK1490: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > nat ).

thf(func_def_2425,type,
    sK1491: set_set_int > set_int > set_int ).

thf(func_def_2426,type,
    sK1492: set_real > ( real > int ) > set_real > real ).

thf(func_def_2427,type,
    sK1493: set_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2428,type,
    sK1494: ( real > real ) > real ).

thf(func_def_2429,type,
    sK1495: ( real > real ) > real ).

thf(func_def_2430,type,
    sK1496: ( complex > rat ) > complex > set_complex > complex ).

thf(func_def_2431,type,
    sK1497: code_integer > code_integer > code_integer ).

thf(func_def_2432,type,
    sK1498: real > nat > ( nat > real > real ) > nat ).

thf(func_def_2433,type,
    sK1499: real > nat > ( nat > real > real ) > real ).

thf(func_def_2434,type,
    sK1500: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2435,type,
    sK1501: rat > rat > rat ).

thf(func_def_2436,type,
    sK1502: real > nat ).

thf(func_def_2437,type,
    sK1503: real > nat ).

thf(func_def_2438,type,
    sK1504: nat > set_nat > nat ).

thf(func_def_2439,type,
    sK1505: set_nat > nat ).

thf(func_def_2440,type,
    sK1506: int > set_int > int > int ).

thf(func_def_2441,type,
    sK1507: int > set_int > int > int ).

thf(func_def_2442,type,
    sK1508: list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2443,type,
    sK1509: ( rat > int ) > rat ).

thf(func_def_2444,type,
    sK1510: ( rat > int ) > rat ).

thf(func_def_2445,type,
    sK1511: set_int > set_int > ( int > rat ) > int ).

thf(func_def_2446,type,
    sK1512: int > set_int > int > int ).

thf(func_def_2447,type,
    sK1513: int > set_int > int > int ).

thf(func_def_2448,type,
    sK1514: ( num > nat ) > num ).

thf(func_def_2449,type,
    sK1515: ( num > nat ) > num ).

thf(func_def_2450,type,
    sK1516: set_list_VEBT_VEBT > nat ).

thf(func_def_2451,type,
    sK1517: ( nat > num ) > nat ).

thf(func_def_2452,type,
    sK1518: set_complex > ( complex > rat ) > complex ).

thf(func_def_2453,type,
    sK1519: int > ( int > $o ) > int ).

thf(func_def_2454,type,
    sK1520: int > ( int > $o ) > int ).

thf(func_def_2455,type,
    sK1521: ( int > $o ) > int > int ).

thf(func_def_2456,type,
    sK1522: ( int > $o ) > int > int ).

thf(func_def_2457,type,
    sK1523: real > ( real > real ) > real ).

thf(func_def_2458,type,
    sK1524: ( real > real ) > real ).

thf(func_def_2459,type,
    sK1525: ( real > real ) > real ).

thf(func_def_2460,type,
    sK1526: set_set_nat > ( set_nat > nat ) > ( set_nat > nat ) > set_nat ).

thf(func_def_2461,type,
    sK1527: set_nat > nat ).

thf(func_def_2462,type,
    sK1528: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2463,type,
    sK1529: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2464,type,
    sK1530: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2465,type,
    sK1531: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_2466,type,
    sK1532: int > ( int > $o ) > int ).

thf(func_def_2467,type,
    sK1533: set_int > ( int > nat ) > int ).

thf(func_def_2468,type,
    sK1534: int > set_int > ( int > nat ) > int ).

thf(func_def_2469,type,
    sK1535: set_num > num ).

thf(func_def_2470,type,
    sK1536: nat > nat > nat > nat ).

thf(func_def_2471,type,
    sK1537: nat > nat > nat > nat ).

thf(func_def_2472,type,
    sK1538: produc2285326912895808259nt_int > int ).

thf(func_def_2473,type,
    sK1539: produc2285326912895808259nt_int > int ).

thf(func_def_2474,type,
    sK1540: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2475,type,
    sK1541: ( real > real ) > real > real ).

thf(func_def_2476,type,
    sK1542: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2477,type,
    sK1543: real > ( nat > real > real ) > ( real > real ) > nat > real ).

thf(func_def_2478,type,
    sK1544: ( nat > real > real ) > nat ).

thf(func_def_2479,type,
    sK1545: ( nat > real > real ) > real ).

thf(func_def_2480,type,
    sK1546: ( nat > rat ) > nat ).

thf(func_def_2481,type,
    sK1547: ( nat > rat ) > nat ).

thf(func_def_2482,type,
    sK1548: ( complex > rat ) > ( set_complex > $o ) > set_complex ).

thf(func_def_2483,type,
    sK1549: ( complex > rat ) > ( set_complex > $o ) > complex ).

thf(func_def_2484,type,
    sK1550: ( real > rat ) > real ).

thf(func_def_2485,type,
    sK1551: ( real > rat ) > real ).

thf(func_def_2486,type,
    sK1552: set_list_int > nat ).

thf(func_def_2487,type,
    sK1553: int > ( int > $o ) > int > int ).

thf(func_def_2488,type,
    sK1554: int > ( int > $o ) > int > int ).

thf(func_def_2489,type,
    sK1555: ( int > $o ) > int > int > int ).

thf(func_def_2490,type,
    sK1556: ( int > $o ) > int > int > int ).

thf(func_def_2491,type,
    sK1557: real > real > ( real > real ) > real ).

thf(func_def_2492,type,
    sK1558: ( real > real ) > ( real > real ) > real > ( real > real ) > real > ( real > real ) > real ).

thf(func_def_2493,type,
    sK1559: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2494,type,
    sK1560: real > ( real > real ) > ( real > real ) > real > real ).

thf(func_def_2495,type,
    sK1561: ( real > real ) > real > real > real ).

thf(func_def_2496,type,
    sK1562: nat > nat ).

thf(func_def_2497,type,
    sK1563: produc7773217078559923341nt_int > int ).

thf(func_def_2498,type,
    sK1564: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2499,type,
    sK1565: produc7773217078559923341nt_int > int ).

thf(func_def_2500,type,
    sK1566: set_complex > ( complex > real ) > ( complex > real ) > complex ).

thf(func_def_2501,type,
    sK1567: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_2502,type,
    sK1568: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_2503,type,
    sK1569: ( nat > $o ) > nat > nat ).

thf(func_def_2504,type,
    sK1570: int > nat ).

thf(func_def_2505,type,
    sK1571: int > nat ).

thf(func_def_2506,type,
    sK1572: ( set_nat > $o ) > ( nat > num ) > set_nat ).

thf(func_def_2507,type,
    sK1573: ( set_nat > $o ) > ( nat > num ) > nat ).

thf(func_def_2508,type,
    sK1574: ( complex > nat ) > set_complex > complex ).

thf(func_def_2509,type,
    sK1575: real > nat > real ).

thf(func_def_2510,type,
    sK1576: set_complex > set_complex > complex ).

thf(func_def_2511,type,
    sK1577: nat > nat ).

thf(func_def_2512,type,
    sK1578: code_integer > code_integer > code_integer ).

thf(func_def_2513,type,
    sK1579: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2514,type,
    sK1580: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2515,type,
    sK1581: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2516,type,
    sK1582: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8763457246119570046nteger > real > produc8923325533196201883nteger ).

thf(func_def_2517,type,
    sK1583: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8763457246119570046nteger > real > code_integer > option6357759511663192854e_term ).

thf(func_def_2518,type,
    sK1584: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2519,type,
    sK1585: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2520,type,
    sK1586: nat > vEBT_VEBT > nat ).

thf(func_def_2521,type,
    sK1587: nat > vEBT_VEBT > nat ).

thf(func_def_2522,type,
    sK1588: nat > vEBT_VEBT > nat ).

thf(func_def_2523,type,
    sK1589: nat > vEBT_VEBT > $o ).

thf(func_def_2524,type,
    sK1590: nat > vEBT_VEBT > $o ).

thf(func_def_2525,type,
    sK1591: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2526,type,
    sK1592: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2527,type,
    sK1593: vEBT_VEBT > nat > nat ).

thf(func_def_2528,type,
    sK1594: vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_2529,type,
    sK1595: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2530,type,
    sK1596: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2531,type,
    sK1597: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2532,type,
    sK1598: vEBT_VEBT > nat > product_prod_nat_nat ).

thf(func_def_2533,type,
    sK1599: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2534,type,
    sK1600: ( num > int ) > num ).

thf(func_def_2535,type,
    sK1601: ( num > int ) > num ).

thf(func_def_2536,type,
    sK1602: ( complex > real ) > set_complex > complex ).

thf(func_def_2537,type,
    sK1603: real > nat ).

thf(func_def_2538,type,
    sK1604: real > nat ).

thf(func_def_2539,type,
    sK1605: real > ( real > real ) > real ).

thf(func_def_2540,type,
    sK1606: real > real ).

thf(func_def_2541,type,
    sK1607: int > set_int > ( int > rat ) > int ).

thf(func_def_2542,type,
    sK1608: ( set_nat > $o ) > set_nat ).

thf(func_def_2543,type,
    sK1609: ( set_nat > $o ) > nat ).

thf(func_def_2544,type,
    sK1610: ( num > nat ) > num ).

thf(func_def_2545,type,
    sK1611: ( num > nat ) > num ).

thf(func_def_2546,type,
    sK1612: produc8763457246119570046nteger > code_integer ).

thf(func_def_2547,type,
    sK1613: produc8763457246119570046nteger > code_integer ).

thf(func_def_2548,type,
    sK1614: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_2549,type,
    sK1615: set_nat > nat > nat ).

thf(func_def_2550,type,
    sK1616: ( complex > rat ) > set_complex > ( complex > rat ) > complex ).

thf(func_def_2551,type,
    sK1617: set_complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_2552,type,
    sK1618: ( nat > $o ) > nat ).

thf(func_def_2553,type,
    sK1619: int > nat ).

thf(func_def_2554,type,
    sK1620: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_2555,type,
    sK1621: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_2556,type,
    sK1622: ( produc1908205239877642774nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2557,type,
    sK1623: ( produc1908205239877642774nteger > $o ) > code_integer ).

thf(func_def_2558,type,
    sK1624: ( produc1908205239877642774nteger > $o ) > code_integer ).

thf(func_def_2559,type,
    sK1625: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_2560,type,
    sK1626: ( rat > rat > $o ) > rat ).

thf(func_def_2561,type,
    sK1627: ( rat > rat > $o ) > rat ).

thf(func_def_2562,type,
    sK1628: ( rat > rat > $o ) > rat ).

thf(func_def_2563,type,
    sK1629: ( rat > rat > $o ) > rat ).

thf(func_def_2564,type,
    sK1630: ( rat > rat > $o ) > rat ).

thf(func_def_2565,type,
    sK1631: set_complex > ( complex > int ) > set_complex > complex ).

thf(func_def_2566,type,
    sK1632: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_2567,type,
    sK1633: real > ( nat > real ) > nat > nat ).

thf(func_def_2568,type,
    sK1634: real > real > ( real > real ) > real ).

thf(func_def_2569,type,
    sK1635: ( real > real > $o ) > real ).

thf(func_def_2570,type,
    sK1636: ( real > real > $o ) > real ).

thf(func_def_2571,type,
    sK1637: ( real > real > $o ) > real ).

thf(func_def_2572,type,
    sK1638: ( real > real > $o ) > real ).

thf(func_def_2573,type,
    sK1639: ( real > real > $o ) > real ).

thf(func_def_2574,type,
    sK1640: ( nat > $o ) > nat > nat ).

thf(func_def_2575,type,
    sK1641: ( nat > $o ) > nat > nat ).

thf(func_def_2576,type,
    sK1642: real > real > nat ).

thf(func_def_2577,type,
    sK1643: vEBT_VEBT > option_nat > $o ).

thf(func_def_2578,type,
    sK1644: vEBT_VEBT > option_nat > $o ).

thf(func_def_2579,type,
    sK1645: option_nat > vEBT_VEBT > nat ).

thf(func_def_2580,type,
    sK1646: option_nat > vEBT_VEBT > nat ).

thf(func_def_2581,type,
    sK1647: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2582,type,
    sK1648: option_nat > vEBT_VEBT > nat ).

thf(func_def_2583,type,
    sK1649: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2584,type,
    sK1650: vEBT_VEBT > nat ).

thf(func_def_2585,type,
    sK1651: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2586,type,
    sK1652: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2587,type,
    sK1653: rat > rat ).

thf(func_def_2588,type,
    sK1654: set_complex > ( complex > complex ) > complex ).

thf(func_def_2589,type,
    sK1655: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_2590,type,
    sK1656: nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_2591,type,
    sK1657: nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_2592,type,
    sK1658: nat > nat ).

thf(func_def_2593,type,
    sK1659: set_int > ( int > real ) > set_int > int ).

thf(func_def_2594,type,
    sK1660: ( set_nat > $o ) > nat ).

thf(func_def_2595,type,
    sK1661: ( set_nat > $o ) > set_nat ).

thf(func_def_2596,type,
    sK1662: ( produc8763457246119570046nteger > $o ) > code_integer > option6357759511663192854e_term ).

thf(func_def_2597,type,
    sK1663: ( produc8763457246119570046nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_2598,type,
    sK1664: nat > nat ).

thf(func_def_2599,type,
    sK1665: set_complex > ( complex > rat ) > set_complex > complex ).

thf(func_def_2600,type,
    sK1666: rat > rat ).

thf(func_def_2601,type,
    sK1667: set_rat > rat ).

thf(func_def_2602,type,
    sK1668: ( nat > nat > $o ) > nat ).

thf(func_def_2603,type,
    sK1669: ( nat > nat > $o ) > nat ).

thf(func_def_2604,type,
    sK1670: ( nat > nat > $o ) > nat ).

thf(func_def_2605,type,
    sK1671: ( nat > nat > $o ) > nat ).

thf(func_def_2606,type,
    sK1672: ( nat > nat > $o ) > ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_2607,type,
    sK1673: int > int > int ).

thf(func_def_2608,type,
    sK1674: ( real > rat ) > set_real > real ).

thf(func_def_2609,type,
    sK1675: $o > list_o > $o ).

thf(func_def_2610,type,
    sK1676: ( nat > real > real ) > nat ).

thf(func_def_2611,type,
    sK1677: ( nat > real > real ) > real ).

thf(func_def_2612,type,
    sK1678: nat > ( real > real ) > real > ( nat > real > real ) > real ).

thf(func_def_2613,type,
    sK1679: int > nat ).

thf(func_def_2614,type,
    sK1680: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_2615,type,
    sK1681: set_real > ( real > int ) > set_real > real ).

thf(func_def_2616,type,
    sK1682: ( nat > $o ) > list_nat > nat ).

thf(func_def_2617,type,
    sK1683: real > real > real > real ).

thf(func_def_2618,type,
    sK1684: real > real > nat ).

thf(func_def_2619,type,
    sK1685: int > set_int > int > int ).

thf(func_def_2620,type,
    sK1686: int > set_int > int > int ).

thf(func_def_2621,type,
    sK1687: ( complex > int ) > ( complex > int ) > set_complex > complex ).

thf(func_def_2622,type,
    sK1688: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_2623,type,
    sK1689: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2624,type,
    sK1690: vEBT_VEBT > nat > nat ).

thf(func_def_2625,type,
    sK1691: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2626,type,
    sK1692: vEBT_VEBT > nat > nat ).

thf(func_def_2627,type,
    sK1693: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2628,type,
    sK1694: vEBT_VEBT > nat > nat ).

thf(func_def_2629,type,
    sK1695: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2630,type,
    sK1696: nat > vEBT_VEBT > nat ).

thf(func_def_2631,type,
    sK1697: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2632,type,
    sK1698: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2633,type,
    sK1699: nat > vEBT_VEBT > nat ).

thf(func_def_2634,type,
    sK1700: nat > vEBT_VEBT > nat ).

thf(func_def_2635,type,
    sK1701: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2636,type,
    sK1702: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2637,type,
    sK1703: vEBT_VEBT > nat > $o ).

thf(func_def_2638,type,
    sK1704: vEBT_VEBT > nat > $o ).

thf(func_def_2639,type,
    sK1705: rat > nat ).

thf(func_def_2640,type,
    sK1706: int > nat ).

thf(func_def_2641,type,
    sK1707: int > nat ).

thf(func_def_2642,type,
    sK1708: ( rat > int ) > rat ).

thf(func_def_2643,type,
    sK1709: ( rat > int ) > rat ).

thf(func_def_2644,type,
    sK1710: ( int > rat ) > ( nat > rat ) > ( nat > int ) > set_nat > set_int > int ).

thf(func_def_2645,type,
    sK1711: ( nat > rat ) > set_nat > nat ).

thf(func_def_2646,type,
    sK1712: ( set_nat > complex ) > ( set_nat > real ) > set_set_nat > set_nat ).

thf(func_def_2647,type,
    sK1713: ( real > $o ) > real > real ).

thf(func_def_2648,type,
    sK1714: ( real > $o ) > real > real ).

thf(func_def_2649,type,
    sK1715: num > num > num ).

thf(func_def_2650,type,
    sK1716: num > num > num > num ).

thf(func_def_2651,type,
    sK1717: num > num > num > num ).

thf(func_def_2652,type,
    sK1718: num > num ).

thf(func_def_2653,type,
    sK1719: num > num ).

thf(func_def_2654,type,
    sK1720: num > num > num > num ).

thf(func_def_2655,type,
    sK1721: num > num > num > num ).

thf(func_def_2656,type,
    sK1722: num > num > num > num ).

thf(func_def_2657,type,
    sK1723: num > num > num > num ).

thf(func_def_2658,type,
    sK1724: num > num > num ).

thf(func_def_2659,type,
    sK1725: num > num > num > num ).

thf(func_def_2660,type,
    sK1726: num > num > num > num ).

thf(func_def_2661,type,
    sK1727: ( real > real ) > set_real > real ).

thf(func_def_2662,type,
    sK1728: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_2663,type,
    sK1729: ( real > real ) > set_real > real ).

thf(func_def_2664,type,
    sK1730: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_2665,type,
    sK1731: set_real > ( real > real ) > set_real > ( real > real ) > real ).

thf(func_def_2666,type,
    sK1732: set_real > ( real > real ) > ( real > real ) > ( real > real ) > real ).

thf(func_def_2667,type,
    sK1733: ( real > real ) > set_real > set_real > ( real > real ) > real ).

thf(func_def_2668,type,
    sK1734: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2669,type,
    sK1735: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2670,type,
    sK1736: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2671,type,
    sK1737: vEBT_VEBT > $o ).

thf(func_def_2672,type,
    sK1738: vEBT_VEBT > $o ).

thf(func_def_2673,type,
    sK1739: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2674,type,
    sK1740: vEBT_VEBT > nat ).

thf(func_def_2675,type,
    sK1741: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2676,type,
    sK1742: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2677,type,
    sK1743: set_complex > ( complex > rat ) > complex ).

thf(func_def_2678,type,
    sK1744: ( real > real ) > ( complex > real ) > ( real > complex ) > set_real > real ).

thf(func_def_2679,type,
    sK1745: ( complex > real ) > set_complex > complex ).

thf(func_def_2680,type,
    sK1746: ( complex > real ) > set_real > set_real > set_complex > set_complex > complex ).

thf(func_def_2681,type,
    sK1747: ( real > complex ) > ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_2682,type,
    sK1748: ( real > complex ) > set_real > set_real > ( complex > real ) > real ).

thf(func_def_2683,type,
    sK1749: set_real > ( real > real ) > real ).

thf(func_def_2684,type,
    sK1750: ( real > complex ) > set_real > set_complex > set_complex > set_real > real ).

thf(func_def_2685,type,
    sK1751: real > real > real ).

thf(func_def_2686,type,
    sK1752: produc9072475918466114483BT_nat > nat ).

thf(func_def_2687,type,
    sK1753: produc9072475918466114483BT_nat > $o ).

thf(func_def_2688,type,
    sK1754: produc9072475918466114483BT_nat > $o ).

thf(func_def_2689,type,
    sK1755: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2690,type,
    sK1756: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2691,type,
    sK1757: produc9072475918466114483BT_nat > nat ).

thf(func_def_2692,type,
    sK1758: produc9072475918466114483BT_nat > nat ).

thf(func_def_2693,type,
    sK1759: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2694,type,
    sK1760: produc9072475918466114483BT_nat > nat ).

thf(func_def_2695,type,
    sK1761: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2696,type,
    sK1762: produc9072475918466114483BT_nat > nat ).

thf(func_def_2697,type,
    sK1763: produc9072475918466114483BT_nat > nat ).

thf(func_def_2698,type,
    sK1764: produc9072475918466114483BT_nat > nat ).

thf(func_def_2699,type,
    sK1765: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2700,type,
    sK1766: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2701,type,
    sK1767: produc9072475918466114483BT_nat > nat ).

thf(func_def_2702,type,
    sK1768: produc9072475918466114483BT_nat > nat ).

thf(func_def_2703,type,
    sK1769: produc9072475918466114483BT_nat > nat ).

thf(func_def_2704,type,
    sK1770: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2705,type,
    sK1771: produc9072475918466114483BT_nat > nat ).

thf(func_def_2706,type,
    sK1772: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2707,type,
    sK1773: real > real > real ).

thf(func_def_2708,type,
    sK1774: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2709,type,
    sK1775: real > real > real ).

thf(func_def_2710,type,
    sK1776: ( code_integer > $o ) > $o ).

thf(func_def_2711,type,
    sK1777: ( code_integer > $o ) > code_integer ).

thf(func_def_2712,type,
    sK1778: ( code_integer > $o ) > code_integer ).

thf(func_def_2713,type,
    sK1779: list_o > ( $o > $o ) > $o ).

thf(func_def_2714,type,
    sK1780: int > set_int > int > int ).

thf(func_def_2715,type,
    sK1781: int > set_int > int > int ).

thf(func_def_2716,type,
    sK1782: ( nat > rat ) > set_nat > nat ).

thf(func_def_2717,type,
    sK1783: ( rat > $o ) > rat > rat ).

thf(func_def_2718,type,
    sK1784: ( rat > $o ) > rat > rat ).

thf(func_def_2719,type,
    sK1785: ( rat > $o ) > rat > rat ).

thf(func_def_2720,type,
    sK1786: ( rat > $o ) > rat > rat ).

thf(func_def_2721,type,
    sK1787: ( real > $o ) > nat > real > real ).

thf(func_def_2722,type,
    sK1788: ( nat > real ) > ( nat > real ) > set_nat > nat ).

thf(func_def_2723,type,
    sK1789: ( num > int ) > num ).

thf(func_def_2724,type,
    sK1790: ( num > int ) > num ).

thf(func_def_2725,type,
    sK1791: ( num > nat ) > num ).

thf(func_def_2726,type,
    sK1792: ( num > nat ) > num ).

thf(func_def_2727,type,
    sK1793: code_integer > code_integer ).

thf(func_def_2728,type,
    sK1794: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2729,type,
    sK1795: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2730,type,
    sK1796: nat > nat ).

thf(func_def_2731,type,
    sK1797: set_real > ( real > real ) > real > real ).

thf(func_def_2732,type,
    sK1798: ( real > real ) > real > real > real ).

thf(func_def_2733,type,
    sK1799: vEBT_VEBT > nat ).

thf(func_def_2734,type,
    sK1800: vEBT_VEBT > nat ).

thf(func_def_2735,type,
    sK1801: vEBT_VEBT > nat ).

thf(func_def_2736,type,
    sK1802: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2737,type,
    sK1803: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2738,type,
    sK1804: vEBT_VEBT > $o ).

thf(func_def_2739,type,
    sK1805: vEBT_VEBT > $o ).

thf(func_def_2740,type,
    sK1806: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2741,type,
    sK1807: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2742,type,
    sK1808: vEBT_VEBT > nat ).

thf(func_def_2743,type,
    sK1809: nat > nat ).

thf(func_def_2744,type,
    sK1810: nat > nat ).

thf(func_def_2745,type,
    sK1811: real > nat ).

thf(func_def_2746,type,
    sK1812: ( rat > num ) > rat ).

thf(func_def_2747,type,
    sK1813: ( rat > num ) > rat ).

thf(func_def_2748,type,
    sK1814: ( rat > real ) > rat ).

thf(func_def_2749,type,
    sK1815: ( rat > real ) > rat ).

thf(func_def_2750,type,
    sK1816: set_nat > nat ).

thf(func_def_2751,type,
    sK1817: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_2752,type,
    sK1818: set_complex > ( complex > int ) > set_complex > complex ).

thf(func_def_2753,type,
    sK1819: set_int > ( int > complex ) > ( int > real ) > int ).

thf(func_def_2754,type,
    sK1820: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_2755,type,
    sK1821: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_2756,type,
    sK1822: set_int > ( int > real ) > int ).

thf(func_def_2757,type,
    sK1823: set_int > ( int > real ) > int ).

thf(func_def_2758,type,
    sK1824: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_2759,type,
    sK1825: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_2760,type,
    sK1826: ( int > real ) > ( int > real ) > ( int > int ) > set_int > int ).

thf(func_def_2761,type,
    sK1827: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_2762,type,
    sK1828: ( int > int ) > set_int > set_int > set_int > set_int > int ).

thf(func_def_2763,type,
    sK1829: ( int > rat ) > int ).

thf(func_def_2764,type,
    sK1830: ( int > rat ) > int ).

thf(func_def_2765,type,
    sK1831: ( complex > int ) > set_complex > ( complex > int ) > complex ).

thf(func_def_2766,type,
    sK1832: nat > vEBT_VEBT > nat ).

thf(func_def_2767,type,
    sK1833: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_2768,type,
    sK1834: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_2769,type,
    sK1835: ( nat > int ) > nat ).

thf(func_def_2770,type,
    sK1836: vEBT_VEBT > nat > $o ).

thf(func_def_2771,type,
    sK1837: vEBT_VEBT > nat > $o ).

thf(func_def_2772,type,
    sK1838: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2773,type,
    sK1839: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2774,type,
    sK1840: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2775,type,
    sK1841: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2776,type,
    sK1842: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2777,type,
    sK1843: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2778,type,
    sK1844: nat > vEBT_VEBT > nat ).

thf(func_def_2779,type,
    sK1845: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_2780,type,
    sK1846: nat > nat ).

thf(func_def_2781,type,
    sK1847: nat > nat ).

thf(func_def_2782,type,
    sK1848: ( set_complex > $o ) > set_complex ).

thf(func_def_2783,type,
    sK1849: ( nat > $o ) > nat > nat ).

thf(func_def_2784,type,
    sK1850: ( nat > $o ) > nat > nat ).

thf(func_def_2785,type,
    sK1851: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2786,type,
    sK1852: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2787,type,
    sK1853: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2788,type,
    sK1854: ( num > int ) > num ).

thf(func_def_2789,type,
    sK1855: ( num > int ) > num ).

thf(func_def_2790,type,
    sK1856: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2791,type,
    sK1857: vEBT_VEBT > nat > nat ).

thf(func_def_2792,type,
    sK1858: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2793,type,
    sK1859: vEBT_VEBT > nat > nat ).

thf(func_def_2794,type,
    sK1860: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2795,type,
    sK1861: vEBT_VEBT > nat > nat ).

thf(func_def_2796,type,
    sK1862: vEBT_VEBT > nat > nat ).

thf(func_def_2797,type,
    sK1863: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2798,type,
    sK1864: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2799,type,
    sK1865: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2800,type,
    sK1866: vEBT_VEBT > $o ).

thf(func_def_2801,type,
    sK1867: vEBT_VEBT > $o ).

thf(func_def_2802,type,
    sK1868: vEBT_VEBT > nat > nat ).

thf(func_def_2803,type,
    sK1869: vEBT_VEBT > nat > nat ).

thf(func_def_2804,type,
    sK1870: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2805,type,
    sK1871: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2806,type,
    sK1872: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_2807,type,
    sK1873: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_2808,type,
    sK1874: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_2809,type,
    sK1875: option_nat > nat ).

thf(func_def_2810,type,
    sK1876: ( real > real ) > ( nat > real > real ) > nat > real > real > real ).

thf(func_def_2811,type,
    sK1877: ( nat > real > real ) > real > nat > real > nat ).

thf(func_def_2812,type,
    sK1878: ( nat > real > real ) > real > nat > real > real ).

thf(func_def_2813,type,
    sK1879: nat > vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2814,type,
    sK1880: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2815,type,
    sK1881: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2816,type,
    sK1882: vEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2817,type,
    sK1883: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2818,type,
    sK1884: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2819,type,
    sK1885: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2820,type,
    sK1886: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2821,type,
    sK1887: nat > vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2822,type,
    sK1888: nat > vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2823,type,
    sK1889: nat > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2824,type,
    sK1890: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_2825,type,
    sK1891: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_2826,type,
    sK1892: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2827,type,
    sK1893: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2828,type,
    sK1894: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2829,type,
    sK1895: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2830,type,
    sK1896: ( real > real ) > real > real > ( real > real ) > real ).

thf(func_def_2831,type,
    sK1897: list_complex > ( complex > $o ) > nat ).

thf(func_def_2832,type,
    sK1898: vEBT_VEBT > nat > $o ).

thf(func_def_2833,type,
    sK1899: vEBT_VEBT > nat > $o ).

thf(func_def_2834,type,
    sK1900: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2835,type,
    sK1901: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2836,type,
    sK1902: vEBT_VEBT > nat > nat ).

thf(func_def_2837,type,
    sK1903: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2838,type,
    sK1904: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2839,type,
    sK1905: real > int ).

thf(func_def_2840,type,
    sK1906: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_2841,type,
    sK1907: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_2842,type,
    sK1908: complex > real ).

thf(func_def_2843,type,
    sK1909: int > int ).

thf(func_def_2844,type,
    sK1910: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_2845,type,
    sK1911: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2846,type,
    sK1912: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2847,type,
    sK1913: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > num ).

thf(func_def_2848,type,
    sK1914: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2849,type,
    sK1915: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2850,type,
    sK1916: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2851,type,
    sK1917: ( int > $o ) > int ).

thf(func_def_2852,type,
    sK1918: ( int > $o ) > int ).

thf(func_def_2853,type,
    sK1919: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2854,type,
    sK1920: option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2855,type,
    sK1921: option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_2856,type,
    sK1922: ( real > real ) > set_real > real ).

thf(func_def_2857,type,
    sK1923: real > ( nat > real > real ) > real > nat > nat ).

thf(func_def_2858,type,
    sK1924: real > ( nat > real > real ) > real > nat > real ).

thf(func_def_2859,type,
    sK1925: real > real > ( nat > real > real ) > nat > ( real > real ) > real ).

thf(func_def_2860,type,
    sK1926: ( complex > rat ) > set_complex > complex ).

thf(func_def_2861,type,
    sK1927: vEBT_VEBT > option_nat > $o ).

thf(func_def_2862,type,
    sK1928: vEBT_VEBT > option_nat > $o ).

thf(func_def_2863,type,
    sK1929: vEBT_VEBT > nat ).

thf(func_def_2864,type,
    sK1930: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2865,type,
    sK1931: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2866,type,
    sK1932: option_nat > vEBT_VEBT > nat ).

thf(func_def_2867,type,
    sK1933: option_nat > vEBT_VEBT > nat ).

thf(func_def_2868,type,
    sK1934: option_nat > vEBT_VEBT > nat ).

thf(func_def_2869,type,
    sK1935: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2870,type,
    sK1936: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2871,type,
    sK1937: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2872,type,
    sK1938: rat > rat > rat > rat ).

thf(func_def_2873,type,
    sK1939: set_int > ( int > rat ) > set_int > int ).

thf(func_def_2874,type,
    sK1940: int > int > set_int > int ).

thf(func_def_2875,type,
    sK1941: int > int > set_int > int ).

thf(func_def_2876,type,
    sK1942: nat > ( nat > $o ) > nat ).

thf(func_def_2877,type,
    sK1943: nat > ( nat > $o ) > nat ).

thf(func_def_2878,type,
    sK1944: ( int > nat ) > set_int > int ).

thf(func_def_2879,type,
    sK1945: int > ( int > nat ) > set_int > int ).

thf(func_def_2880,type,
    sK1946: set_real > ( real > nat ) > real > real ).

thf(func_def_2881,type,
    sK1947: ( list_int > $o ) > list_int ).

thf(func_def_2882,type,
    sK1948: nat > nat > nat ).

thf(func_def_2883,type,
    sK1949: set_real > set_real > ( real > rat ) > real ).

thf(func_def_2884,type,
    sK1950: ( real > rat ) > set_real > set_real > real ).

thf(func_def_2885,type,
    sK1951: nat > nat > nat ).

thf(func_def_2886,type,
    sK1952: int > nat ).

thf(func_def_2887,type,
    sK1953: nat > ( nat > real > real ) > real > real ).

thf(func_def_2888,type,
    sK1954: nat > ( nat > real > real ) > real > nat ).

thf(func_def_2889,type,
    sK1955: real > nat > ( nat > real > real ) > ( real > real ) > real ).

thf(func_def_2890,type,
    sK1956: real > real ).

thf(func_def_2891,type,
    sK1957: ( int > $o ) > int > int ).

thf(func_def_2892,type,
    sK1958: ( num > real ) > num ).

thf(func_def_2893,type,
    sK1959: ( num > real ) > num ).

thf(func_def_2894,type,
    sK1960: ( complex > real ) > ( int > complex ) > ( int > real ) > set_int > int ).

thf(func_def_2895,type,
    sK1961: ( int > complex ) > set_complex > set_complex > set_int > set_int > int ).

thf(func_def_2896,type,
    sK1962: ( complex > int ) > ( int > complex ) > set_int > set_int > int ).

thf(func_def_2897,type,
    sK1963: set_complex > ( complex > real ) > complex ).

thf(func_def_2898,type,
    sK1964: set_complex > set_int > set_int > set_complex > ( complex > int ) > complex ).

thf(func_def_2899,type,
    sK1965: set_complex > ( int > complex ) > set_complex > ( complex > int ) > complex ).

thf(func_def_2900,type,
    sK1966: ( int > real ) > set_int > int ).

thf(func_def_2901,type,
    sK1967: ( int > real ) > set_int > int ).

thf(func_def_2902,type,
    sK1968: real > nat ).

thf(func_def_2903,type,
    sK1969: real > nat ).

thf(func_def_2904,type,
    sK1970: ( produc7773217078559923341nt_int > $o ) > product_prod_int_int ).

thf(func_def_2905,type,
    sK1971: ( produc7773217078559923341nt_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_2906,type,
    sK1972: ( rat > nat ) > rat ).

thf(func_def_2907,type,
    sK1973: ( rat > nat ) > rat ).

thf(func_def_2908,type,
    sK1974: int > int ).

thf(func_def_2909,type,
    sK1975: set_real > ( real > rat ) > set_real > real ).

thf(func_def_2910,type,
    sK1976: ( real > rat ) > set_real > ( real > rat ) > real ).

thf(func_def_2911,type,
    sK1977: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2912,type,
    sK1978: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2913,type,
    sK1979: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2914,type,
    sK1980: ( rat > real ) > rat ).

thf(func_def_2915,type,
    sK1981: ( rat > real ) > rat ).

thf(func_def_2916,type,
    sK1982: ( nat > real ) > real > nat ).

thf(func_def_2917,type,
    sK1983: ( nat > real ) > real ).

thf(func_def_2918,type,
    sK1984: set_rat > rat ).

thf(func_def_2919,type,
    sK1985: ( real > rat ) > real ).

thf(func_def_2920,type,
    sK1986: ( real > rat ) > real ).

thf(func_def_2921,type,
    sK1987: ( set_int > $o ) > set_int > set_int ).

thf(func_def_2922,type,
    sK1988: set_rat > rat ).

thf(func_def_2923,type,
    sK1989: set_real > ( real > real ) > set_real > real ).

thf(func_def_2924,type,
    sK1990: ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_2925,type,
    sK1991: ( num > rat ) > num ).

thf(func_def_2926,type,
    sK1992: ( num > rat ) > num ).

thf(func_def_2927,type,
    sK1993: set_real > set_real > ( real > real ) > real ).

thf(func_def_2928,type,
    sK1994: ( real > real ) > set_real > set_real > real ).

thf(func_def_2929,type,
    sK1995: real > ( real > real ) > real > real ).

thf(func_def_2930,type,
    sK1996: real > ( real > real ) > real > ( real > real ) > real ).

thf(func_def_2931,type,
    sK1997: set_real > real ).

thf(func_def_2932,type,
    sK1998: ( int > $o ) > ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_2933,type,
    sK1999: ( int > $o ) > ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_2934,type,
    sK2000: ( set_int > $o ) > set_int ).

thf(func_def_2935,type,
    sK2001: ( set_int > $o ) > int ).

thf(func_def_2936,type,
    sK2002: ( num > nat ) > num ).

thf(func_def_2937,type,
    sK2003: ( num > nat ) > num ).

thf(func_def_2938,type,
    sK2004: ( nat > real ) > nat ).

thf(func_def_2939,type,
    sK2005: ( nat > real ) > nat ).

thf(func_def_2940,type,
    sK2006: set_complex > set_complex > ( complex > int ) > complex ).

thf(func_def_2941,type,
    sK2007: ( nat > $o ) > nat > nat ).

thf(func_def_2942,type,
    sK2008: produc9072475918466114483BT_nat > nat ).

thf(func_def_2943,type,
    sK2009: produc9072475918466114483BT_nat > $o ).

thf(func_def_2944,type,
    sK2010: produc9072475918466114483BT_nat > $o ).

thf(func_def_2945,type,
    sK2011: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2946,type,
    sK2012: produc9072475918466114483BT_nat > nat ).

thf(func_def_2947,type,
    sK2013: produc9072475918466114483BT_nat > nat ).

thf(func_def_2948,type,
    sK2014: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2949,type,
    sK2015: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2950,type,
    sK2016: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2951,type,
    sK2017: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2952,type,
    sK2018: produc9072475918466114483BT_nat > nat ).

thf(func_def_2953,type,
    sK2019: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2954,type,
    sK2020: rat > int ).

thf(func_def_2955,type,
    sK2021: ( rat > rat > $o ) > rat ).

thf(func_def_2956,type,
    sK2022: ( rat > rat > $o ) > rat ).

thf(func_def_2957,type,
    sK2023: ( rat > rat > $o ) > rat ).

thf(func_def_2958,type,
    sK2024: ( rat > rat > $o ) > rat ).

thf(func_def_2959,type,
    sK2025: set_complex > ( complex > rat ) > ( rat > rat > $o ) > ( complex > rat ) > complex ).

thf(func_def_2960,type,
    sK2026: ( nat > real ) > ( real > real ) > real > nat > real ).

thf(func_def_2961,type,
    sK2027: int > nat ).

thf(func_def_2962,type,
    sK2028: int > nat ).

thf(func_def_2963,type,
    sK2029: ( rat > int ) > rat ).

thf(func_def_2964,type,
    sK2030: ( rat > int ) > rat ).

thf(func_def_2965,type,
    sK2031: ( nat > nat ) > nat ).

thf(func_def_2966,type,
    sK2032: rat > rat > rat ).

thf(func_def_2967,type,
    sK2033: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_2968,type,
    sK2034: ( nat > num ) > nat ).

thf(func_def_2969,type,
    sK2035: ( nat > num ) > nat ).

thf(func_def_2970,type,
    sK2036: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_2971,type,
    sK2037: nat > nat > nat > nat ).

thf(func_def_2972,type,
    sK2038: nat > nat > nat > nat ).

thf(func_def_2973,type,
    sK2039: real > real ).

thf(func_def_2974,type,
    sK2040: set_list_nat > nat ).

thf(func_def_2975,type,
    sK2041: set_nat > ( set_nat > $o ) > nat ).

thf(func_def_2976,type,
    sK2042: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2977,type,
    sK2043: real > real ).

thf(func_def_2978,type,
    sK2044: ( option_nat > option_num > $o ) > option_nat > option_num > num ).

thf(func_def_2979,type,
    sK2045: ( option_nat > option_num > $o ) > option_nat > option_num > nat ).

thf(func_def_2980,type,
    sK2046: set_int > ( int > rat ) > int ).

thf(func_def_2981,type,
    sK2047: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_2982,type,
    sK2048: product_prod_int_int > int ).

thf(func_def_2983,type,
    sK2049: product_prod_int_int > int ).

thf(func_def_2984,type,
    sK2050: real > real > real ).

thf(func_def_2985,type,
    sK2051: ( complex > nat ) > set_complex > complex ).

thf(func_def_2986,type,
    sK2052: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_2987,type,
    sK2053: ( int > complex ) > set_int > int ).

thf(func_def_2988,type,
    sK2054: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_2989,type,
    sK2055: ( int > complex ) > ( int > complex ) > ( int > int ) > set_int > int ).

thf(func_def_2990,type,
    sK2056: set_int > set_int > set_int > ( int > int ) > set_int > int ).

thf(func_def_2991,type,
    sK2057: set_int > set_int > set_int > set_int > ( int > int ) > int ).

thf(func_def_2992,type,
    sK2058: set_int > ( int > complex ) > int ).

thf(func_def_2993,type,
    sK2059: real > real ).

thf(func_def_2994,type,
    sK2060: ( nat > rat ) > nat ).

thf(func_def_2995,type,
    sK2061: ( nat > rat ) > nat ).

thf(func_def_2996,type,
    sK2062: int > nat ).

thf(func_def_2997,type,
    sK2063: int > nat ).

thf(func_def_2998,type,
    sK2064: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_2999,type,
    sK2065: rat > rat > rat ).

thf(func_def_3000,type,
    sK2066: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_3001,type,
    sK2067: set_set_nat > ( set_set_nat > $o ) > set_nat ).

thf(func_def_3002,type,
    sK2068: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3003,type,
    sK2069: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3004,type,
    sK2070: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3005,type,
    sK2071: code_integer > code_integer > code_integer ).

thf(func_def_3006,type,
    sK2072: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3007,type,
    sK2073: ( real > real ) > real ).

thf(func_def_3008,type,
    sK2074: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_3009,type,
    sK2075: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3010,type,
    sK2076: set_real > ( real > int ) > ( real > int ) > real ).

thf(func_def_3011,type,
    sK2077: int > int > int > int ).

thf(func_def_3012,type,
    sK2078: ( nat > nat > $o ) > nat ).

thf(func_def_3013,type,
    sK2079: ( nat > nat > $o ) > nat ).

thf(func_def_3014,type,
    sK2080: ( nat > nat > $o ) > nat ).

thf(func_def_3015,type,
    sK2081: ( nat > nat > $o ) > nat ).

thf(func_def_3016,type,
    sK2082: int > ( int > $o ) > int ).

thf(func_def_3017,type,
    sK2083: rat > rat > rat > rat ).

thf(func_def_3018,type,
    sK2084: nat > ( nat > $o ) > nat ).

thf(func_def_3019,type,
    sK2085: nat > ( nat > $o ) > nat ).

thf(func_def_3020,type,
    sK2086: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_3021,type,
    sK2087: produc7036089656553540234on_num > num ).

thf(func_def_3022,type,
    sK2088: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_3023,type,
    sK2089: produc7036089656553540234on_num > option_num ).

thf(func_def_3024,type,
    sK2090: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_3025,type,
    sK2091: produc7036089656553540234on_num > num ).

thf(func_def_3026,type,
    sK2092: produc7036089656553540234on_num > num ).

thf(func_def_3027,type,
    sK2093: ( nat > nat > $o ) > nat ).

thf(func_def_3028,type,
    sK2094: ( nat > nat > $o ) > nat ).

thf(func_def_3029,type,
    sK2095: ( nat > nat > $o ) > nat ).

thf(func_def_3030,type,
    sK2096: ( nat > nat > $o ) > nat ).

thf(func_def_3031,type,
    sK2097: ( nat > nat > $o ) > nat ).

thf(func_def_3032,type,
    sK2098: int > set_int > int > int ).

thf(func_def_3033,type,
    sK2099: int > set_int > int > int ).

thf(func_def_3034,type,
    sK2100: ( num > num ) > num ).

thf(func_def_3035,type,
    sK2101: ( num > num ) > num ).

thf(func_def_3036,type,
    sK2102: ( real > rat ) > set_real > ( real > rat ) > real ).

thf(func_def_3037,type,
    sK2103: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3038,type,
    sK2104: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3039,type,
    sK2105: ( real > real ) > set_real > real ).

thf(func_def_3040,type,
    sK2106: ( nat > real ) > nat ).

thf(func_def_3041,type,
    sK2107: ( nat > real ) > nat ).

thf(func_def_3042,type,
    sK2108: ( real > rat ) > set_real > real ).

thf(func_def_3043,type,
    sK2109: rat > rat > ( real > rat ) > set_real > real ).

thf(func_def_3044,type,
    sK2110: set_nat > nat ).

thf(func_def_3045,type,
    sK2111: nat > real > real ).

thf(func_def_3046,type,
    sK2112: ( nat > nat > $o ) > nat ).

thf(func_def_3047,type,
    sK2113: ( nat > nat > $o ) > nat ).

thf(func_def_3048,type,
    sK2114: ( nat > nat > $o ) > nat ).

thf(func_def_3049,type,
    sK2115: ( nat > nat > $o ) > nat ).

thf(func_def_3050,type,
    sK2116: set_complex > ( complex > nat ) > ( nat > nat > $o ) > ( complex > nat ) > complex ).

thf(func_def_3051,type,
    sK2117: vEBT_VEBT > nat ).

thf(func_def_3052,type,
    sK2118: ( set_nat > $o ) > list_set_nat > nat ).

thf(func_def_3053,type,
    sK2119: ( real > nat ) > real ).

thf(func_def_3054,type,
    sK2120: ( real > nat ) > real ).

thf(func_def_3055,type,
    sK2121: nat > nat ).

thf(func_def_3056,type,
    sK2122: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).

thf(func_def_3057,type,
    sK2123: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).

thf(func_def_3058,type,
    sK2124: real > real > ( real > real ) > real ).

thf(func_def_3059,type,
    sK2125: ( rat > num ) > rat ).

thf(func_def_3060,type,
    sK2126: ( rat > num ) > rat ).

thf(func_def_3061,type,
    sK2127: rat > rat ).

thf(func_def_3062,type,
    sK2128: nat > ( nat > $o ) > nat ).

thf(func_def_3063,type,
    sK2129: ( nat > $o ) > nat ).

thf(func_def_3064,type,
    sK2130: ( int > int > product_prod_int_int ) > product_prod_int_int > ( product_prod_int_int > $o ) > int ).

thf(func_def_3065,type,
    sK2131: ( int > int > product_prod_int_int ) > product_prod_int_int > ( product_prod_int_int > $o ) > int ).

thf(func_def_3066,type,
    sK2132: set_complex > set_complex > ( complex > nat ) > complex ).

thf(func_def_3067,type,
    sK2133: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3068,type,
    sK2134: real > real > ( real > real ) > real ).

thf(func_def_3069,type,
    sK2135: real > real > ( real > real ) > real ).

thf(func_def_3070,type,
    sK2136: real > real > real > ( real > real ) > real ).

thf(func_def_3071,type,
    sK2137: ( real > real ) > real > real > real ).

thf(func_def_3072,type,
    sK2138: num > num ).

thf(func_def_3073,type,
    sK2139: num > num ).

thf(func_def_3074,type,
    sK2140: ( real > nat ) > set_real > real ).

thf(func_def_3075,type,
    sK2141: int > int > set_int > int ).

thf(func_def_3076,type,
    sK2142: int > int > set_int > int ).

thf(func_def_3077,type,
    sK2143: ( int > $o ) > int > int > int ).

thf(func_def_3078,type,
    sK2144: ( int > $o ) > int > int > int ).

thf(func_def_3079,type,
    sK2145: ( int > $o ) > int > int > int ).

thf(func_def_3080,type,
    sK2146: ( int > $o ) > int > int > int ).

thf(func_def_3081,type,
    sK2147: set_real > ( real > real ) > real ).

thf(func_def_3082,type,
    sK2148: complex > list_complex > complex ).

thf(func_def_3083,type,
    sK2149: ( real > real ) > real > real ).

thf(func_def_3084,type,
    sK2150: ( nat > int ) > nat ).

thf(func_def_3085,type,
    sK2151: set_int > ( int > nat ) > int ).

thf(func_def_3086,type,
    sK2152: int > int > set_int > int ).

thf(func_def_3087,type,
    sK2153: int > int > set_int > int ).

thf(func_def_3088,type,
    sK2154: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3089,type,
    sK2155: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3090,type,
    sK2156: vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3091,type,
    sK2157: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_3092,type,
    sK2158: nat > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_3093,type,
    sK2159: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3094,type,
    sK2160: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3095,type,
    sK2161: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3096,type,
    sK2162: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3097,type,
    sK2163: vEBT_VEBT > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3098,type,
    sK2164: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3099,type,
    sK2165: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_3100,type,
    sK2166: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3101,type,
    sK2167: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3102,type,
    sK2168: vEBT_VEBT > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3103,type,
    sK2169: vEBT_VEBT > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3104,type,
    sK2170: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3105,type,
    sK2171: list_VEBT_VEBT > nat ).

thf(func_def_3106,type,
    sK2172: list_VEBT_VEBT > nat > nat > nat > nat > nat ).

thf(func_def_3107,type,
    sK2173: list_VEBT_VEBT > nat > nat > nat > nat > nat ).

thf(func_def_3108,type,
    sK2174: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_3109,type,
    sK2175: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_3110,type,
    sK2176: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3111,type,
    sK2177: ( num > $o ) > num ).

thf(func_def_3112,type,
    sK2178: ( real > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_3113,type,
    sK2179: set_real > ( real > real ) > ( int > real ) > ( real > int ) > real ).

thf(func_def_3114,type,
    sK2180: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_3115,type,
    sK2181: ( int > real ) > set_int > int ).

thf(func_def_3116,type,
    sK2182: set_int > set_real > set_real > set_int > ( real > int ) > real ).

thf(func_def_3117,type,
    sK2183: set_real > ( real > real ) > real ).

thf(func_def_3118,type,
    sK2184: set_real > set_real > ( int > real ) > ( real > int ) > real ).

thf(func_def_3119,type,
    sK2185: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_3120,type,
    sK2186: nat > nat > nat ).

thf(func_def_3121,type,
    sK2187: nat > nat > nat ).

thf(func_def_3122,type,
    sK2188: nat > nat > nat ).

thf(func_def_3123,type,
    sK2189: set_real > real ).

thf(func_def_3124,type,
    sK2190: real > ( nat > real ) > nat > int ).

thf(func_def_3125,type,
    sK2191: ( int > $o ) > int ).

thf(func_def_3126,type,
    sK2192: int > ( int > $o ) > int ).

thf(func_def_3127,type,
    sK2193: set_int > ( int > $o ) > int > int ).

thf(func_def_3128,type,
    sK2194: set_int > ( int > $o ) > int > int ).

thf(func_def_3129,type,
    sK2195: int > ( int > $o ) > int ).

thf(func_def_3130,type,
    sK2196: int > ( int > $o ) > int ).

thf(func_def_3131,type,
    sK2197: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3132,type,
    sK2198: set_int > ( int > $o ) > int > int ).

thf(func_def_3133,type,
    sK2199: produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_3134,type,
    sK2200: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_3135,type,
    sK2201: nat > nat > nat ).

thf(func_def_3136,type,
    sK2202: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_3137,type,
    sK2203: set_real > ( real > nat ) > set_real > real ).

thf(func_def_3138,type,
    sK2204: ( real > real > $o ) > real ).

thf(func_def_3139,type,
    sK2205: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_3140,type,
    sK2206: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_3141,type,
    sK2207: $o > nat > vEBT_VEBT > nat ).

thf(func_def_3142,type,
    sK2208: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3143,type,
    sK2209: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3144,type,
    sK2210: $o > nat > vEBT_VEBT > nat ).

thf(func_def_3145,type,
    sK2211: nat > $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3146,type,
    sK2212: nat > $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3147,type,
    sK2213: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3148,type,
    sK2214: vEBT_VEBT > nat > $o > list_VEBT_VEBT ).

thf(func_def_3149,type,
    sK2215: vEBT_VEBT > nat > $o > nat ).

thf(func_def_3150,type,
    sK2216: vEBT_VEBT > nat > $o > nat ).

thf(func_def_3151,type,
    sK2217: vEBT_VEBT > nat > $o > nat ).

thf(func_def_3152,type,
    sK2218: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_3153,type,
    sK2219: $o > nat > vEBT_VEBT > $o ).

thf(func_def_3154,type,
    sK2220: $o > nat > vEBT_VEBT > $o ).

thf(func_def_3155,type,
    sK2221: ( nat > rat ) > nat ).

thf(func_def_3156,type,
    sK2222: ( nat > rat ) > nat ).

thf(func_def_3157,type,
    sK2223: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3158,type,
    sK2224: nat > nat > nat > nat ).

thf(func_def_3159,type,
    sK2225: nat > nat > nat ).

thf(func_def_3160,type,
    sK2226: ( nat > real ) > real ).

thf(func_def_3161,type,
    sK2227: ( nat > real ) > real > nat ).

thf(func_def_3162,type,
    sK2228: real > real > real ).

thf(func_def_3163,type,
    sK2229: real ).

thf(func_def_3164,type,
    sK2230: ( real > real > $o ) > real ).

thf(func_def_3165,type,
    sK2231: ( real > real > $o ) > real ).

thf(func_def_3166,type,
    sK2232: ( real > real > $o ) > real ).

thf(func_def_3167,type,
    sK2233: ( real > real > $o ) > real ).

thf(func_def_3168,type,
    sK2234: ( int > real ) > ( int > real ) > ( real > real > $o ) > set_int > int ).

thf(func_def_3169,type,
    sK2235: ( num > num ) > num ).

thf(func_def_3170,type,
    sK2236: ( num > num ) > num ).

thf(func_def_3171,type,
    sK2237: nat > nat > nat ).

thf(func_def_3172,type,
    sK2238: list_complex > set_complex > complex ).

thf(func_def_3173,type,
    sK2239: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_3174,type,
    sK2240: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_3175,type,
    sK2241: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_3176,type,
    sK2242: real > int ).

thf(func_def_3177,type,
    sK2243: ( option_num > option_nat > $o ) > option_nat > option_num > nat ).

thf(func_def_3178,type,
    sK2244: ( option_num > option_nat > $o ) > option_nat > option_num > num ).

thf(func_def_3179,type,
    sK2245: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_3180,type,
    sK2246: ( set_real > $o ) > real ).

thf(func_def_3181,type,
    sK2247: ( set_real > $o ) > set_real ).

thf(func_def_3182,type,
    sK2248: nat > option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3183,type,
    sK2249: nat > option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3184,type,
    sK2250: nat > option_nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3185,type,
    sK2251: nat > vEBT_VEBT > option_nat > product_prod_nat_nat ).

thf(func_def_3186,type,
    sK2252: nat > vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_3187,type,
    sK2253: nat > vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_3188,type,
    sK2254: nat > option_nat > vEBT_VEBT > $o ).

thf(func_def_3189,type,
    sK2255: nat > option_nat > vEBT_VEBT > $o ).

thf(func_def_3190,type,
    sK2256: nat > option_nat > vEBT_VEBT > nat ).

thf(func_def_3191,type,
    sK2257: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_3192,type,
    sK2258: vEBT_VEBT > nat > option_nat > vEBT_VEBT ).

thf(func_def_3193,type,
    sK2259: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_3194,type,
    sK2260: vEBT_VEBT > nat > option_nat > list_VEBT_VEBT ).

thf(func_def_3195,type,
    sK2261: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_3196,type,
    sK2262: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_3197,type,
    sK2263: option_nat > vEBT_VEBT > nat > $o ).

thf(func_def_3198,type,
    sK2264: vEBT_VEBT > nat > option_nat > list_VEBT_VEBT ).

thf(func_def_3199,type,
    sK2265: vEBT_VEBT > nat > option_nat > vEBT_VEBT ).

thf(func_def_3200,type,
    sK2266: vEBT_VEBT > nat > option_nat > nat ).

thf(func_def_3201,type,
    sK2267: ( num > rat ) > num ).

thf(func_def_3202,type,
    sK2268: ( num > rat ) > num ).

thf(func_def_3203,type,
    sK2269: ( nat > num ) > nat ).

thf(func_def_3204,type,
    sK2270: set_complex > set_complex > ( complex > real ) > complex ).

thf(func_def_3205,type,
    sK2271: set_complex > ( complex > real ) > ( complex > real ) > complex ).

thf(func_def_3206,type,
    sK2272: int > int > product_prod_int_int > int ).

thf(func_def_3207,type,
    sK2273: int > int > product_prod_int_int > int ).

thf(func_def_3208,type,
    sK2274: int > int > product_prod_int_int > int ).

thf(func_def_3209,type,
    sK2275: ( real > rat ) > set_real > real ).

thf(func_def_3210,type,
    sK2276: ( int > int > set_real ) > product_prod_int_int > real > int ).

thf(func_def_3211,type,
    sK2277: ( int > int > set_real ) > product_prod_int_int > real > int ).

thf(func_def_3212,type,
    sK2278: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3213,type,
    sK2279: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3214,type,
    sK2280: set_real > real ).

thf(func_def_3215,type,
    sK2281: real > ( real > real ) > real ).

thf(func_def_3216,type,
    sK2282: option_nat > nat ).

thf(func_def_3217,type,
    sK2283: option_nat > option_nat > ( nat > nat > nat ) > option_nat > nat ).

thf(func_def_3218,type,
    sK2284: option_nat > option_nat > ( nat > nat > nat ) > option_nat > nat ).

thf(func_def_3219,type,
    sK2285: ( rat > $o ) > int ).

thf(func_def_3220,type,
    sK2286: ( rat > $o ) > int ).

thf(func_def_3221,type,
    sK2287: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_3222,type,
    sK2288: real > real > ( real > real ) > real ).

thf(func_def_3223,type,
    sK2289: ( option_nat > option_nat > $o ) > option_nat > option_nat > nat ).

thf(func_def_3224,type,
    sK2290: ( option_nat > option_nat > $o ) > option_nat > option_nat > nat ).

thf(func_def_3225,type,
    sK2291: complex > list_complex > nat ).

thf(func_def_3226,type,
    sK2292: ( nat > rat ) > set_nat > nat ).

thf(func_def_3227,type,
    sK2293: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_3228,type,
    sK2294: ( list_nat > $o ) > list_nat ).

thf(func_def_3229,type,
    sK2295: nat > nat > nat > nat ).

thf(func_def_3230,type,
    sK2296: nat > nat > nat > nat ).

thf(func_def_3231,type,
    sK2297: ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > product_prod_nat_nat > nat ).

thf(func_def_3232,type,
    sK2298: ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > product_prod_nat_nat > nat ).

thf(func_def_3233,type,
    sK2299: ( rat > rat ) > rat ).

thf(func_def_3234,type,
    sK2300: ( rat > rat ) > rat ).

thf(func_def_3235,type,
    sK2301: $o > list_o > $o ).

thf(func_def_3236,type,
    sK2302: complex > ( int > int > set_complex ) > product_prod_int_int > int ).

thf(func_def_3237,type,
    sK2303: complex > ( int > int > set_complex ) > product_prod_int_int > int ).

thf(func_def_3238,type,
    sK2304: nat > vEBT_VEBT > nat ).

thf(func_def_3239,type,
    sK2305: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3240,type,
    sK2306: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3241,type,
    sK2307: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3242,type,
    sK2308: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3243,type,
    sK2309: vEBT_VEBT > nat > $o ).

thf(func_def_3244,type,
    sK2310: vEBT_VEBT > nat > $o ).

thf(func_def_3245,type,
    sK2311: rat > rat ).

thf(func_def_3246,type,
    sK2312: nat > ( nat > $o ) > nat ).

thf(func_def_3247,type,
    sK2313: nat > ( nat > $o ) > nat ).

thf(func_def_3248,type,
    sK2314: ( nat > $o ) > nat > nat ).

thf(func_def_3249,type,
    sK2315: ( nat > $o ) > nat > nat ).

thf(func_def_3250,type,
    sK2316: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3251,type,
    sK2317: produc9072475918466114483BT_nat > nat ).

thf(func_def_3252,type,
    sK2318: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_3253,type,
    sK2319: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3254,type,
    sK2320: produc9072475918466114483BT_nat > $o ).

thf(func_def_3255,type,
    sK2321: produc9072475918466114483BT_nat > $o ).

thf(func_def_3256,type,
    sK2322: produc9072475918466114483BT_nat > nat ).

thf(func_def_3257,type,
    sK2323: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3258,type,
    sK2324: produc9072475918466114483BT_nat > nat ).

thf(func_def_3259,type,
    sK2325: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3260,type,
    sK2326: produc9072475918466114483BT_nat > nat ).

thf(func_def_3261,type,
    sK2327: produc9072475918466114483BT_nat > nat ).

thf(func_def_3262,type,
    sK2328: produc9072475918466114483BT_nat > nat ).

thf(func_def_3263,type,
    sK2329: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3264,type,
    sK2330: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3265,type,
    sK2331: produc9072475918466114483BT_nat > nat ).

thf(func_def_3266,type,
    sK2332: produc9072475918466114483BT_nat > nat ).

thf(func_def_3267,type,
    sK2333: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3268,type,
    sK2334: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_3269,type,
    sK2335: produc9072475918466114483BT_nat > nat ).

thf(func_def_3270,type,
    sK2336: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3271,type,
    sK2337: produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_3272,type,
    sK2338: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_3273,type,
    sK2339: ( real > int ) > real ).

thf(func_def_3274,type,
    sK2340: ( real > int ) > real ).

thf(func_def_3275,type,
    sK2341: nat > ( nat > $o ) > nat ).

thf(func_def_3276,type,
    sK2342: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_3277,type,
    sK2343: set_complex > set_complex > ( complex > nat ) > complex ).

thf(func_def_3278,type,
    sK2344: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_3279,type,
    sK2345: ( nat > real ) > nat ).

thf(func_def_3280,type,
    sK2346: ( nat > real ) > nat ).

thf(func_def_3281,type,
    sK2347: real > real > real ).

thf(func_def_3282,type,
    sK2348: nat > nat ).

thf(func_def_3283,type,
    sK2349: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3284,type,
    sK2350: num > set_num > num ).

thf(func_def_3285,type,
    sK2351: ( nat > int ) > nat > nat ).

thf(func_def_3286,type,
    sK2352: int > ( nat > int ) > nat > nat ).

thf(func_def_3287,type,
    sK2353: ( nat > $o ) > nat ).

thf(func_def_3288,type,
    sK2354: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_3289,type,
    sK2355: real > real ).

thf(func_def_3290,type,
    sK2356: ( int > real ) > set_int > int ).

thf(func_def_3291,type,
    sK2357: real > real > set_int > ( int > real ) > int ).

thf(func_def_3292,type,
    sK2358: set_nat > ( nat > int ) > nat ).

thf(func_def_3293,type,
    sK2359: real > ( real > real ) > set_real > real ).

thf(func_def_3294,type,
    sK2360: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_3295,type,
    sK2361: set_int > ( int > nat ) > int ).

thf(func_def_3296,type,
    sK2362: set_int > ( int > nat ) > int ).

thf(func_def_3297,type,
    sK2363: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_3298,type,
    sK2364: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_3299,type,
    sK2365: ( real > $o ) > nat ).

thf(func_def_3300,type,
    sK2366: ( real > $o ) > real ).

thf(func_def_3301,type,
    sK2367: ( real > $o ) > real ).

thf(func_def_3302,type,
    sK2368: set_real > ( set_real > $o ) > set_real ).

thf(func_def_3303,type,
    sK2369: set_complex > ( complex > real ) > complex ).

thf(func_def_3304,type,
    sK2370: set_set_nat > set_set_nat > set_nat ).

thf(func_def_3305,type,
    sK2371: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3306,type,
    sK2372: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3307,type,
    sK2373: nat > $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3308,type,
    sK2374: nat > $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3309,type,
    sK2375: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3310,type,
    sK2376: $o > nat > vEBT_VEBT > nat ).

thf(func_def_3311,type,
    sK2377: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3312,type,
    sK2378: nat > $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3313,type,
    sK2379: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3314,type,
    sK2380: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3315,type,
    sK2381: nat > $o > vEBT_VEBT > nat ).

thf(func_def_3316,type,
    sK2382: nat > $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3317,type,
    sK2383: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3318,type,
    sK2384: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3319,type,
    sK2385: vEBT_VEBT > $o ).

thf(func_def_3320,type,
    sK2386: vEBT_VEBT > $o ).

thf(func_def_3321,type,
    sK2387: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_3322,type,
    sK2388: vEBT_VEBT > $o > nat > nat ).

thf(func_def_3323,type,
    sK2389: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_3324,type,
    sK2390: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_3325,type,
    sK2391: $o > vEBT_VEBT > nat > $o ).

thf(func_def_3326,type,
    sK2392: $o > vEBT_VEBT > nat > $o ).

thf(func_def_3327,type,
    sK2393: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3328,type,
    sK2394: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3329,type,
    sK2395: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3330,type,
    sK2396: ( rat > rat ) > rat ).

thf(func_def_3331,type,
    sK2397: ( rat > rat ) > rat ).

thf(func_def_3332,type,
    sK2398: int > int > int ).

thf(func_def_3333,type,
    sK2399: ( rat > real ) > rat ).

thf(func_def_3334,type,
    sK2400: ( rat > real ) > rat ).

thf(func_def_3335,type,
    sK2401: real > nat ).

thf(func_def_3336,type,
    sK2402: ( real > complex ) > ( real > complex ) > set_real > real ).

thf(func_def_3337,type,
    sK2403: set_real > ( real > complex ) > set_real > real ).

thf(func_def_3338,type,
    sK2404: int > int > int > int ).

thf(func_def_3339,type,
    sK2405: int > int > int > int ).

thf(func_def_3340,type,
    sK2406: set_list_o > nat ).

thf(func_def_3341,type,
    sK2407: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3342,type,
    sK2408: produc7773217078559923341nt_int > int ).

thf(func_def_3343,type,
    sK2409: produc7773217078559923341nt_int > int ).

thf(func_def_3344,type,
    sK2410: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_3345,type,
    sK2411: real > int ).

thf(func_def_3346,type,
    sK2412: ( set_real > $o ) > set_real ).

thf(func_def_3347,type,
    sK2413: ( set_real > $o ) > real ).

thf(func_def_3348,type,
    sK2414: ( nat > rat ) > nat ).

thf(func_def_3349,type,
    sK2415: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3350,type,
    sK2416: ( real > real ) > set_real > real ).

thf(func_def_3351,type,
    sK2417: ( real > real ) > set_real > real ).

thf(func_def_3352,type,
    sK2418: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_3353,type,
    sK2419: rat > rat ).

thf(func_def_3354,type,
    sK2420: code_integer > code_integer ).

thf(func_def_3355,type,
    sK2421: set_complex > ( complex > real ) > complex ).

thf(func_def_3356,type,
    sK2422: set_int > set_complex > ( complex > int ) > ( int > real ) > ( complex > real ) > int ).

thf(func_def_3357,type,
    sK2423: rat > rat ).

thf(func_def_3358,type,
    sK2424: list_int > int > int ).

thf(func_def_3359,type,
    sK2425: num > num ).

thf(func_def_3360,type,
    sK2426: int > int > int ).

thf(func_def_3361,type,
    sK2427: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_3362,type,
    sK2428: ( nat > int ) > nat > nat ).

thf(func_def_3363,type,
    sK2429: ( nat > int ) > nat > int > nat ).

thf(func_def_3364,type,
    sK2430: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3365,type,
    sK2431: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3366,type,
    sK2432: list_VEBT_VEBT > nat ).

thf(func_def_3367,type,
    sK2433: vEBT_VEBT > nat ).

thf(func_def_3368,type,
    sK2434: set_num > num ).

thf(func_def_3369,type,
    sK2435: list_o > ( $o > $o ) > nat ).

thf(func_def_3370,type,
    sK2436: ( num > rat ) > num ).

thf(func_def_3371,type,
    sK2437: ( num > rat ) > num ).

thf(func_def_3372,type,
    sK2438: ( $o > $o ) > list_o > $o ).

thf(func_def_3373,type,
    sK2439: ( set_int > $o ) > set_int > set_int ).

thf(func_def_3374,type,
    sK2440: ( set_int > $o ) > set_int > int ).

thf(func_def_3375,type,
    sK2441: set_complex > ( complex > real ) > complex ).

thf(func_def_3376,type,
    sK2442: set_complex > ( complex > real ) > complex ).

thf(func_def_3377,type,
    sK2443: ( real > real ) > real > real ).

thf(func_def_3378,type,
    sK2444: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_3379,type,
    sK2445: set_real > real ).

thf(func_def_3380,type,
    sK2446: int > int ).

thf(func_def_3381,type,
    sK2447: set_complex > set_complex > complex ).

thf(func_def_3382,type,
    sK2448: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_3383,type,
    sK2449: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_3384,type,
    sK2450: ( set_real > $o ) > set_real ).

thf(func_def_3385,type,
    sK2451: ( set_real > $o ) > real ).

thf(func_def_3386,type,
    sK2452: set_complex > ( complex > nat ) > complex ).

thf(func_def_3387,type,
    sK2453: real > list_real > real ).

thf(func_def_3388,type,
    sK2454: set_int > int ).

thf(func_def_3389,type,
    sK2455: nat > vEBT_VEBT > nat ).

thf(func_def_3390,type,
    sK2456: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3391,type,
    sK2457: nat > vEBT_VEBT > nat ).

thf(func_def_3392,type,
    sK2458: nat > vEBT_VEBT > nat ).

thf(func_def_3393,type,
    sK2459: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3394,type,
    sK2460: vEBT_VEBT > nat > $o ).

thf(func_def_3395,type,
    sK2461: vEBT_VEBT > nat > $o ).

thf(func_def_3396,type,
    sK2462: produc9072475918466114483BT_nat > $o ).

thf(func_def_3397,type,
    sK2463: produc9072475918466114483BT_nat > nat ).

thf(func_def_3398,type,
    sK2464: produc9072475918466114483BT_nat > $o ).

thf(func_def_3399,type,
    sK2465: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3400,type,
    sK2466: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3401,type,
    sK2467: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_3402,type,
    sK2468: produc9072475918466114483BT_nat > nat ).

thf(func_def_3403,type,
    sK2469: produc9072475918466114483BT_nat > nat ).

thf(func_def_3404,type,
    sK2470: ( nat > complex ) > set_nat > ( nat > complex ) > nat ).

thf(func_def_3405,type,
    sK2471: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_3406,type,
    sK2472: ( rat > nat ) > rat ).

thf(func_def_3407,type,
    sK2473: ( rat > nat ) > rat ).

thf(func_def_3408,type,
    sK2474: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3409,type,
    sK2475: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3410,type,
    sK2476: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3411,type,
    sK2477: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3412,type,
    sK2478: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3413,type,
    sK2479: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3414,type,
    sK2480: $o > vEBT_VEBT > nat > $o ).

thf(func_def_3415,type,
    sK2481: $o > vEBT_VEBT > nat > $o ).

thf(func_def_3416,type,
    sK2482: vEBT_VEBT > nat ).

thf(func_def_3417,type,
    sK2483: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3418,type,
    sK2484: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3419,type,
    sK2485: $o > vEBT_VEBT > nat > nat ).

thf(func_def_3420,type,
    sK2486: $o > vEBT_VEBT > nat > nat ).

thf(func_def_3421,type,
    sK2487: $o > vEBT_VEBT > nat > nat ).

thf(func_def_3422,type,
    sK2488: $o > vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3423,type,
    sK2489: $o > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3424,type,
    sK2490: produc9072475918466114483BT_nat > $o ).

thf(func_def_3425,type,
    sK2491: produc9072475918466114483BT_nat > $o ).

thf(func_def_3426,type,
    sK2492: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3427,type,
    sK2493: produc9072475918466114483BT_nat > nat ).

thf(func_def_3428,type,
    sK2494: produc9072475918466114483BT_nat > nat ).

thf(func_def_3429,type,
    sK2495: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3430,type,
    sK2496: produc9072475918466114483BT_nat > nat ).

thf(func_def_3431,type,
    sK2497: produc9072475918466114483BT_nat > nat ).

thf(func_def_3432,type,
    sK2498: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3433,type,
    sK2499: produc9072475918466114483BT_nat > nat ).

thf(func_def_3434,type,
    sK2500: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_3435,type,
    sK2501: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3436,type,
    sK2502: produc9072475918466114483BT_nat > nat ).

thf(func_def_3437,type,
    sK2503: produc9072475918466114483BT_nat > $o ).

thf(func_def_3438,type,
    sK2504: produc9072475918466114483BT_nat > $o ).

thf(func_def_3439,type,
    sK2505: produc9072475918466114483BT_nat > $o ).

thf(func_def_3440,type,
    sK2506: produc9072475918466114483BT_nat > $o ).

thf(func_def_3441,type,
    sK2507: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3442,type,
    sK2508: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3443,type,
    sK2509: produc9072475918466114483BT_nat > nat ).

thf(func_def_3444,type,
    sK2510: produc9072475918466114483BT_nat > nat ).

thf(func_def_3445,type,
    sK2511: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3446,type,
    sK2512: produc9072475918466114483BT_nat > nat ).

thf(func_def_3447,type,
    sK2513: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_3448,type,
    sK2514: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3449,type,
    sK2515: nat > nat > nat ).

thf(func_def_3450,type,
    sK2516: nat > nat > nat ).

thf(func_def_3451,type,
    sK2517: ( real > nat ) > set_real > ( real > nat ) > real ).

thf(func_def_3452,type,
    sK2518: ( complex > nat ) > set_complex > complex ).

thf(func_def_3453,type,
    sK2519: vEBT_VEBT > nat > nat ).

thf(func_def_3454,type,
    sK2520: vEBT_VEBT > nat > nat ).

thf(func_def_3455,type,
    sK2521: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3456,type,
    sK2522: vEBT_VEBT > nat > nat ).

thf(func_def_3457,type,
    sK2523: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3458,type,
    sK2524: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3459,type,
    sK2525: nat > vEBT_VEBT > nat ).

thf(func_def_3460,type,
    sK2526: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3461,type,
    sK2527: nat > vEBT_VEBT > nat ).

thf(func_def_3462,type,
    sK2528: nat > vEBT_VEBT > nat ).

thf(func_def_3463,type,
    sK2529: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3464,type,
    sK2530: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3465,type,
    sK2531: int > int ).

thf(func_def_3466,type,
    sK2532: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3467,type,
    sK2533: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_3468,type,
    sK2534: ( nat > $o ) > nat > nat ).

thf(func_def_3469,type,
    sK2535: ( int > int > $o ) > int ).

thf(func_def_3470,type,
    sK2536: ( int > int > $o ) > int ).

thf(func_def_3471,type,
    sK2537: produc2285326912895808259nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3472,type,
    sK2538: produc2285326912895808259nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3473,type,
    sK2539: rat > rat > rat ).

thf(func_def_3474,type,
    sK2540: rat > rat > rat ).

thf(func_def_3475,type,
    sK2541: ( nat > $o ) > nat > nat ).

thf(func_def_3476,type,
    sK2542: ( nat > $o ) > nat > nat ).

thf(func_def_3477,type,
    sK2543: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_3478,type,
    sK2544: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_3479,type,
    sK2545: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_3480,type,
    sK2546: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_3481,type,
    sK2547: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_3482,type,
    sK2548: produc5542196010084753463at_nat > option4927543243414619207at_nat ).

thf(func_def_3483,type,
    sK2549: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_3484,type,
    sK2550: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3485,type,
    sK2551: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3486,type,
    sK2552: set_nat > set_set_nat > set_nat ).

thf(func_def_3487,type,
    sK2553: nat > vEBT_VEBT > nat ).

thf(func_def_3488,type,
    sK2554: vEBT_VEBT > nat > nat ).

thf(func_def_3489,type,
    sK2555: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3490,type,
    sK2556: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3491,type,
    sK2557: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_3492,type,
    sK2558: vEBT_VEBT > $o ).

thf(func_def_3493,type,
    sK2559: vEBT_VEBT > $o ).

thf(func_def_3494,type,
    sK2560: rat > rat ).

thf(func_def_3495,type,
    sK2561: ( rat > real ) > rat ).

thf(func_def_3496,type,
    sK2562: ( rat > real ) > rat ).

thf(func_def_3497,type,
    sK2563: set_nat > nat > nat ).

thf(func_def_3498,type,
    sK2564: ( int > real ) > set_int > int ).

thf(func_def_3499,type,
    sK2565: ( rat > rat > $o ) > rat ).

thf(func_def_3500,type,
    sK2566: ( rat > rat > $o ) > rat ).

thf(func_def_3501,type,
    sK2567: ( rat > rat > $o ) > rat ).

thf(func_def_3502,type,
    sK2568: ( rat > rat > $o ) > rat ).

thf(func_def_3503,type,
    sK2569: ( int > rat ) > set_int > ( rat > rat > $o ) > ( int > rat ) > int ).

thf(func_def_3504,type,
    sK2570: ( rat > num ) > rat ).

thf(func_def_3505,type,
    sK2571: ( rat > num ) > rat ).

thf(func_def_3506,type,
    sK2572: ( complex > rat ) > set_complex > complex ).

thf(func_def_3507,type,
    sK2573: list_set_nat > set_nat > set_nat ).

thf(func_def_3508,type,
    sK2574: ( rat > real ) > rat ).

thf(func_def_3509,type,
    sK2575: ( rat > real ) > rat ).

thf(func_def_3510,type,
    sK2576: ( nat > rat ) > set_nat > nat ).

thf(func_def_3511,type,
    sK2577: set_complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_3512,type,
    sK2578: set_complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_3513,type,
    sK2579: ( int > real ) > int ).

thf(func_def_3514,type,
    sK2580: ( int > real ) > int ).

thf(func_def_3515,type,
    sK2581: ( complex > nat ) > set_complex > complex ).

thf(func_def_3516,type,
    sK2582: set_set_int > set_int ).

thf(func_def_3517,type,
    sK2583: nat > nat > nat ).

thf(func_def_3518,type,
    sK2584: ( rat > rat ) > rat ).

thf(func_def_3519,type,
    sK2585: ( rat > rat ) > rat ).

thf(func_def_3520,type,
    sK2586: int > product_prod_int_int > ( int > int > set_int ) > int ).

thf(func_def_3521,type,
    sK2587: int > product_prod_int_int > ( int > int > set_int ) > int ).

thf(func_def_3522,type,
    sK2588: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_3523,type,
    sK2589: real > real > real > real ).

thf(func_def_3524,type,
    sK2590: nat > nat > ( nat > nat ) > nat ).

thf(func_def_3525,type,
    sK2591: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_3526,type,
    sK2592: ( nat > $o ) > list_nat > nat ).

thf(func_def_3527,type,
    sK2593: ( rat > nat ) > rat ).

thf(func_def_3528,type,
    sK2594: ( rat > nat ) > rat ).

thf(func_def_3529,type,
    sK2595: ( int > int > set_nat ) > nat > product_prod_int_int > int ).

thf(func_def_3530,type,
    sK2596: ( int > int > set_nat ) > nat > product_prod_int_int > int ).

thf(func_def_3531,type,
    sK2597: ( nat > complex ) > ( complex > complex > $o ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_3532,type,
    sK2598: ( complex > complex > $o ) > complex ).

thf(func_def_3533,type,
    sK2599: ( complex > complex > $o ) > complex ).

thf(func_def_3534,type,
    sK2600: ( complex > complex > $o ) > complex ).

thf(func_def_3535,type,
    sK2601: ( complex > complex > $o ) > complex ).

thf(func_def_3536,type,
    sK2602: ( int > $o ) > int > int ).

thf(func_def_3537,type,
    sK2603: set_complex > ( complex > rat ) > complex ).

thf(func_def_3538,type,
    sK2604: set_int > set_complex > ( complex > rat ) > ( complex > int ) > ( int > rat ) > int ).

thf(func_def_3539,type,
    sK2605: real > ( real > real ) > real > real ).

thf(func_def_3540,type,
    sK2606: real > ( real > real ) > real > real ).

thf(func_def_3541,type,
    sK2607: ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > option4927543243414619207at_nat > nat ).

thf(func_def_3542,type,
    sK2608: ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_3543,type,
    sK2609: nat > nat > nat ).

thf(func_def_3544,type,
    sK2610: ( int > real ) > ( int > real ) > set_int > int ).

thf(func_def_3545,type,
    sK2611: option_num > num ).

thf(func_def_3546,type,
    sK2612: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3547,type,
    sK2613: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3548,type,
    sK2614: ( num > int ) > num ).

thf(func_def_3549,type,
    sK2615: ( num > int ) > num ).

thf(func_def_3550,type,
    sK2616: ( list_o > $o ) > list_o ).

thf(func_def_3551,type,
    sK2617: ( real > rat ) > real ).

thf(func_def_3552,type,
    sK2618: ( real > rat ) > real ).

thf(func_def_3553,type,
    sK2619: nat > real > real ).

thf(func_def_3554,type,
    sK2620: ( nat > set_int ) > nat ).

thf(func_def_3555,type,
    sK2621: set_int > ( int > nat ) > int ).

thf(func_def_3556,type,
    sK2622: ( real > real ) > set_real > real ).

thf(func_def_3557,type,
    sK2623: int > int > int ).

thf(func_def_3558,type,
    sK2624: ( nat > nat > $o ) > nat ).

thf(func_def_3559,type,
    sK2625: ( nat > nat > $o ) > nat ).

thf(func_def_3560,type,
    sK2626: ( nat > nat > $o ) > nat ).

thf(func_def_3561,type,
    sK2627: ( nat > nat > $o ) > nat ).

thf(func_def_3562,type,
    sK2628: ( nat > nat > $o ) > nat ).

thf(func_def_3563,type,
    sK2629: ( nat > $o ) > int > nat ).

thf(func_def_3564,type,
    sK2630: num > num ).

thf(func_def_3565,type,
    sK2631: ( int > $o ) > int ).

thf(func_def_3566,type,
    sK2632: ( int > $o ) > int > int ).

thf(func_def_3567,type,
    sK2633: ( int > $o ) > set_int > int > int ).

thf(func_def_3568,type,
    sK2634: ( int > $o ) > set_int > int > int ).

thf(func_def_3569,type,
    sK2635: int > ( int > $o ) > int ).

thf(func_def_3570,type,
    sK2636: int > ( int > $o ) > int ).

thf(func_def_3571,type,
    sK2637: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3572,type,
    sK2638: ( int > $o ) > set_int > int > int ).

thf(func_def_3573,type,
    sK2639: ( rat > rat ) > rat ).

thf(func_def_3574,type,
    sK2640: ( rat > rat ) > rat ).

thf(func_def_3575,type,
    sK2641: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3576,type,
    sK2642: set_real > ( real > complex ) > ( real > complex ) > real ).

thf(func_def_3577,type,
    sK2643: set_real > ( real > complex ) > set_real > real ).

thf(func_def_3578,type,
    sK2644: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3579,type,
    sK2645: complex > real ).

thf(func_def_3580,type,
    sK2646: complex > real ).

thf(func_def_3581,type,
    sK2647: ( real > num ) > real ).

thf(func_def_3582,type,
    sK2648: ( real > num ) > real ).

thf(func_def_3583,type,
    sK2649: set_real > ( real > real ) > real ).

thf(func_def_3584,type,
    sK2650: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_3585,type,
    sK2651: ( int > real ) > set_int > int ).

thf(func_def_3586,type,
    sK2652: real > ( real > real ) > real ).

thf(func_def_3587,type,
    sK2653: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3588,type,
    sK2654: ( $o > $o ) > list_o > nat ).

thf(func_def_3589,type,
    sK2655: ( $o > $o ) > list_o > $o ).

thf(func_def_3590,type,
    sK2656: ( real > complex ) > ( real > real ) > set_real > real ).

thf(func_def_3591,type,
    sK2657: vEBT_VEBT > $o ).

thf(func_def_3592,type,
    sK2658: vEBT_VEBT > nat ).

thf(func_def_3593,type,
    sK2659: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3594,type,
    sK2660: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3595,type,
    sK2661: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3596,type,
    sK2662: vEBT_VEBT > $o ).

thf(func_def_3597,type,
    sK2663: real > real > real > real ).

thf(func_def_3598,type,
    sK2664: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_3599,type,
    sK2665: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_3600,type,
    sK2666: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_3601,type,
    sK2667: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_3602,type,
    sK2668: ( nat > $o ) > nat ).

thf(func_def_3603,type,
    sK2669: ( product_prod_int_int > $o ) > int ).

thf(func_def_3604,type,
    sK2670: ( product_prod_int_int > $o ) > int ).

thf(func_def_3605,type,
    sK2671: ( real > $o ) > nat ).

thf(func_def_3606,type,
    sK2672: ( real > $o ) > real ).

thf(func_def_3607,type,
    sK2673: ( real > $o ) > real ).

thf(func_def_3608,type,
    sK2674: set_int > ( set_int > $o ) > set_int ).

thf(func_def_3609,type,
    sK2675: ( set_real > $o ) > set_real ).

thf(func_def_3610,type,
    sK2676: int > int > int ).

thf(func_def_3611,type,
    sK2677: nat > nat ).

thf(func_def_3612,type,
    sK2678: ( num > nat ) > num ).

thf(func_def_3613,type,
    sK2679: ( num > nat ) > num ).

thf(func_def_3614,type,
    sK2680: ( complex > real ) > set_complex > complex > complex ).

thf(func_def_3615,type,
    sK2681: ( nat > real ) > nat ).

thf(func_def_3616,type,
    sK2682: ( nat > real ) > nat ).

thf(func_def_3617,type,
    sK2683: ( real > complex ) > ( real > complex ) > ( real > real ) > set_real > real ).

thf(func_def_3618,type,
    sK2684: set_real > set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3619,type,
    sK2685: ( real > real ) > set_real > set_real > set_real > set_real > real ).

thf(func_def_3620,type,
    sK2686: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3621,type,
    sK2687: ( real > complex ) > set_real > real ).

thf(func_def_3622,type,
    sK2688: set_real > set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3623,type,
    sK2689: set_real > ( real > complex ) > real ).

thf(func_def_3624,type,
    sK2690: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_3625,type,
    sK2691: list_nat > nat > nat ).

thf(func_def_3626,type,
    sK2692: set_real > ( real > real ) > set_real > real ).

thf(func_def_3627,type,
    sK2693: ( complex > real ) > set_complex > complex ).

thf(func_def_3628,type,
    sK2694: int > set_int > int ).

thf(func_def_3629,type,
    sK2695: set_int > int ).

thf(func_def_3630,type,
    sK2696: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3631,type,
    sK2697: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3632,type,
    sK2698: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_3633,type,
    sK2699: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_3634,type,
    sK2700: vEBT_VEBT > $o > nat > nat ).

thf(func_def_3635,type,
    sK2701: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_3636,type,
    sK2702: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_3637,type,
    sK2703: vEBT_VEBT > $o ).

thf(func_def_3638,type,
    sK2704: vEBT_VEBT > $o ).

thf(func_def_3639,type,
    sK2705: ( set_set_nat > $o ) > set_set_nat > set_set_nat ).

thf(func_def_3640,type,
    sK2706: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_3641,type,
    sK2707: nat > nat > nat ).

thf(func_def_3642,type,
    sK2708: code_integer > code_integer > code_integer ).

thf(func_def_3643,type,
    sK2709: int > nat ).

thf(func_def_3644,type,
    sK2710: ( complex > nat ) > ( set_complex > $o ) > set_complex ).

thf(func_def_3645,type,
    sK2711: ( complex > nat ) > ( set_complex > $o ) > complex ).

thf(func_def_3646,type,
    sK2712: complex > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_complex ) > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_3647,type,
    sK2713: complex > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_complex ) > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3648,type,
    sK2714: ( complex > code_integer ) > set_complex > complex ).

thf(func_def_3649,type,
    sK2715: code_integer > set_complex > code_integer > ( complex > code_integer ) > complex ).

thf(func_def_3650,type,
    sK2716: ( nat > rat ) > set_nat > ( nat > rat ) > nat ).

thf(func_def_3651,type,
    sK2717: ( real > real ) > real > real > real ).

thf(func_def_3652,type,
    sK2718: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3653,type,
    sK2719: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3654,type,
    sK2720: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3655,type,
    sK2721: ( int > real ) > int ).

thf(func_def_3656,type,
    sK2722: ( int > real ) > int ).

thf(func_def_3657,type,
    sK2723: ( rat > rat > $o ) > rat ).

thf(func_def_3658,type,
    sK2724: nat > nat > nat ).

thf(func_def_3659,type,
    sK2725: nat > nat > nat ).

thf(func_def_3660,type,
    sK2726: nat > nat > nat ).

thf(func_def_3661,type,
    sK2727: list_o > list_o > nat ).

thf(func_def_3662,type,
    sK2728: ( nat > $o ) > list_nat > nat ).

thf(func_def_3663,type,
    sK2729: ( nat > int ) > nat ).

thf(func_def_3664,type,
    sK2730: set_real > set_real > real ).

thf(func_def_3665,type,
    sK2731: ( nat > nat > $o ) > nat ).

thf(func_def_3666,type,
    sK2732: ( nat > nat > $o ) > nat ).

thf(func_def_3667,type,
    sK2733: ( nat > nat > $o ) > nat ).

thf(func_def_3668,type,
    sK2734: ( nat > nat > $o ) > nat ).

thf(func_def_3669,type,
    sK2735: nat > nat > nat > nat ).

thf(func_def_3670,type,
    sK2736: nat > nat > nat > nat ).

thf(func_def_3671,type,
    sK2737: int > int ).

thf(func_def_3672,type,
    sK2738: ( num > num ) > num ).

thf(func_def_3673,type,
    sK2739: ( num > num ) > num ).

thf(func_def_3674,type,
    sK2740: set_real > ( set_real > $o ) > real ).

thf(func_def_3675,type,
    sK2741: set_real > ( set_real > $o ) > set_real ).

thf(func_def_3676,type,
    sK2742: int > int > int > int ).

thf(func_def_3677,type,
    sK2743: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3678,type,
    sK2744: produc1193250871479095198on_num > option_num ).

thf(func_def_3679,type,
    sK2745: produc1193250871479095198on_num > num > num > num ).

thf(func_def_3680,type,
    sK2746: produc1193250871479095198on_num > num ).

thf(func_def_3681,type,
    sK2747: produc1193250871479095198on_num > num > num > num ).

thf(func_def_3682,type,
    sK2748: produc1193250871479095198on_num > num ).

thf(func_def_3683,type,
    sK2749: produc1193250871479095198on_num > num ).

thf(func_def_3684,type,
    sK2750: produc1193250871479095198on_num > num > num > num ).

thf(func_def_3685,type,
    sK2751: nat > set_nat > nat ).

thf(func_def_3686,type,
    sK2752: ( rat > rat ) > rat ).

thf(func_def_3687,type,
    sK2753: ( rat > rat ) > rat ).

thf(func_def_3688,type,
    sK2754: ( set_int > $o ) > set_int > set_int ).

thf(func_def_3689,type,
    sK2755: vEBT_VEBT > option_nat > nat > vEBT_VEBT ).

thf(func_def_3690,type,
    sK2756: vEBT_VEBT > option_nat > nat > list_VEBT_VEBT ).

thf(func_def_3691,type,
    sK2757: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_3692,type,
    sK2758: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_3693,type,
    sK2759: vEBT_VEBT > option_nat > nat > nat ).

thf(func_def_3694,type,
    sK2760: nat > nat ).

thf(func_def_3695,type,
    sK2761: vEBT_VEBT > $o ).

thf(func_def_3696,type,
    sK2762: vEBT_VEBT > $o ).

thf(func_def_3697,type,
    sK2763: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_3698,type,
    sK2764: vEBT_VEBT > nat > option_nat > $o ).

thf(func_def_3699,type,
    sK2765: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3700,type,
    sK2766: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3701,type,
    sK2767: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3702,type,
    sK2768: vEBT_VEBT > nat ).

thf(func_def_3703,type,
    sK2769: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3704,type,
    sK2770: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3705,type,
    sK2771: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3706,type,
    sK2772: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3707,type,
    sK2773: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3708,type,
    sK2774: nat ).

thf(func_def_3709,type,
    sK2775: ( nat > $o ) > nat ).

thf(func_def_3710,type,
    sK2776: ( nat > $o ) > nat > nat ).

thf(func_def_3711,type,
    sK2777: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_3712,type,
    sK2778: rat > nat ).

thf(func_def_3713,type,
    sK2779: ( real > rat ) > set_real > real ).

thf(func_def_3714,type,
    sK2780: set_int > ( int > complex ) > set_int > int ).

thf(func_def_3715,type,
    sK2781: ( real > code_integer ) > set_real > real ).

thf(func_def_3716,type,
    sK2782: ( real > code_integer ) > code_integer > set_real > code_integer > real ).

thf(func_def_3717,type,
    sK2783: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3718,type,
    sK2784: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3719,type,
    sK2785: int > set_int > ( int > $o ) > int ).

thf(func_def_3720,type,
    sK2786: int > set_int > int > int ).

thf(func_def_3721,type,
    sK2787: int > set_int > int > int ).

thf(func_def_3722,type,
    sK2788: set_int > int > ( int > $o ) > int ).

thf(func_def_3723,type,
    sK2789: ( set_int > $o ) > ( int > num ) > int ).

thf(func_def_3724,type,
    sK2790: ( set_int > $o ) > ( int > num ) > set_int ).

thf(func_def_3725,type,
    sK2791: real > int ).

thf(func_def_3726,type,
    sK2792: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_3727,type,
    sK2793: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_3728,type,
    sK2794: real > real > real ).

thf(func_def_3729,type,
    sK2795: nat > nat > nat ).

thf(func_def_3730,type,
    sK2796: real > ( nat > real > real ) > nat > real > real ).

thf(func_def_3731,type,
    sK2797: real > ( nat > real > real ) > nat > real > nat ).

thf(func_def_3732,type,
    sK2798: ( nat > real > real ) > nat > real > real > ( real > real ) > real ).

thf(func_def_3733,type,
    sK2799: real > real ).

thf(func_def_3734,type,
    sK2800: ( int > rat ) > int ).

thf(func_def_3735,type,
    sK2801: ( int > rat ) > int ).

thf(func_def_3736,type,
    sK2802: ( nat > nat ) > nat ).

thf(func_def_3737,type,
    sK2803: ( int > num ) > int ).

thf(func_def_3738,type,
    sK2804: ( int > num ) > int ).

thf(func_def_3739,type,
    sK2805: rat > int ).

thf(func_def_3740,type,
    sK2806: real > nat ).

thf(func_def_3741,type,
    sK2807: nat > ( nat > $o ) > nat ).

thf(func_def_3742,type,
    sK2808: nat > ( nat > $o ) > nat ).

thf(func_def_3743,type,
    sK2809: ( int > nat ) > ( int > nat ) > int ).

thf(func_def_3744,type,
    sK2810: ( real > nat ) > set_real > ( real > nat ) > real ).

thf(func_def_3745,type,
    sK2811: int > int > set_int > int ).

thf(func_def_3746,type,
    sK2812: int > int > set_int > int ).

thf(func_def_3747,type,
    sK2813: int > ( int > $o ) > int ).

thf(func_def_3748,type,
    sK2814: int > ( int > $o ) > int ).

thf(func_def_3749,type,
    sK2815: ( nat > real ) > real ).

thf(func_def_3750,type,
    sK2816: nat > ( nat > real ) > nat ).

thf(func_def_3751,type,
    sK2817: ( num > real ) > num ).

thf(func_def_3752,type,
    sK2818: ( num > real ) > num ).

thf(func_def_3753,type,
    sK2819: ( nat > nat ) > nat ).

thf(func_def_3754,type,
    sK2820: ( complex > rat ) > rat > set_complex > rat > complex ).

thf(func_def_3755,type,
    sK2821: set_complex > ( complex > rat ) > complex ).

thf(func_def_3756,type,
    sK2822: num > num ).

thf(func_def_3757,type,
    sK2823: ( rat > rat ) > rat ).

thf(func_def_3758,type,
    sK2824: ( rat > rat ) > rat ).

thf(func_def_3759,type,
    sK2825: ( rat > int ) > rat ).

thf(func_def_3760,type,
    sK2826: ( rat > int ) > rat ).

thf(func_def_3761,type,
    sK2827: num > num ).

thf(func_def_3762,type,
    sK2828: set_int > ( int > real ) > int ).

thf(func_def_3763,type,
    sK2829: set_complex > set_int > ( int > real ) > ( int > complex ) > ( complex > real ) > complex ).

thf(func_def_3764,type,
    sK2830: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3765,type,
    sK2831: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3766,type,
    sK2832: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3767,type,
    sK2833: ( complex > nat ) > set_complex > complex ).

thf(func_def_3768,type,
    sK2834: complex > ( complex > nat ) > set_complex > complex ).

thf(func_def_3769,type,
    sK2835: ( num > rat ) > num ).

thf(func_def_3770,type,
    sK2836: ( num > rat ) > num ).

thf(func_def_3771,type,
    sK2837: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_3772,type,
    sK2838: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3773,type,
    sK2839: ( complex > real ) > set_complex > complex ).

thf(func_def_3774,type,
    sK2840: ( complex > real ) > ( complex > complex ) > ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3775,type,
    sK2841: ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_3776,type,
    sK2842: set_real > ( real > real ) > set_real > real ).

thf(func_def_3777,type,
    sK2843: ( nat > $o ) > nat > nat ).

thf(func_def_3778,type,
    sK2844: ( nat > $o ) > nat > nat ).

thf(func_def_3779,type,
    sK2845: ( real > $o ) > real ).

thf(func_def_3780,type,
    sK2846: real > nat > ( nat > real > real ) > nat ).

thf(func_def_3781,type,
    sK2847: real > nat > ( nat > real > real ) > real ).

thf(func_def_3782,type,
    sK2848: nat > vEBT_VEBT > nat ).

thf(func_def_3783,type,
    sK2849: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3784,type,
    sK2850: nat > vEBT_VEBT > nat ).

thf(func_def_3785,type,
    sK2851: nat > vEBT_VEBT > nat ).

thf(func_def_3786,type,
    sK2852: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3787,type,
    sK2853: nat > vEBT_VEBT > $o ).

thf(func_def_3788,type,
    sK2854: nat > vEBT_VEBT > $o ).

thf(func_def_3789,type,
    sK2855: ( nat > int > $o ) > nat > list_int ).

thf(func_def_3790,type,
    sK2856: ( nat > int > $o ) > nat > nat ).

thf(func_def_3791,type,
    sK2857: nat > ( nat > int > $o ) > int ).

thf(func_def_3792,type,
    sK2858: list_int > ( nat > int > $o ) > nat > nat ).

thf(func_def_3793,type,
    sK2859: product_prod_int_int > ( int > int > set_real ) > real > int ).

thf(func_def_3794,type,
    sK2860: product_prod_int_int > ( int > int > set_real ) > real > int ).

thf(func_def_3795,type,
    sK2861: set_int > set_int > int ).

thf(func_def_3796,type,
    sK2862: nat > nat > nat ).

thf(func_def_3797,type,
    sK2863: ( nat > nat ) > nat ).

thf(func_def_3798,type,
    sK2864: nat > ( nat > $o ) > nat ).

thf(func_def_3799,type,
    sK2865: nat > ( nat > $o ) > nat ).

thf(func_def_3800,type,
    sK2866: set_int > ( int > real ) > int ).

thf(func_def_3801,type,
    sK2867: set_int > ( int > real ) > int ).

thf(func_def_3802,type,
    sK2868: real > real ).

thf(func_def_3803,type,
    sK2869: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3804,type,
    sK2870: option_nat > vEBT_VEBT > nat ).

thf(func_def_3805,type,
    sK2871: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3806,type,
    sK2872: option_nat > vEBT_VEBT > $o ).

thf(func_def_3807,type,
    sK2873: option_nat > vEBT_VEBT > $o ).

thf(func_def_3808,type,
    sK2874: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_3809,type,
    sK2875: vEBT_VEBT > option_nat > nat ).

thf(func_def_3810,type,
    sK2876: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_3811,type,
    sK2877: vEBT_VEBT > option_nat > nat ).

thf(func_def_3812,type,
    sK2878: vEBT_VEBT > option_nat > nat ).

thf(func_def_3813,type,
    sK2879: nat > nat > nat ).

thf(func_def_3814,type,
    sK2880: complex > complex ).

thf(func_def_3815,type,
    sK2881: complex > real ).

thf(func_def_3816,type,
    sK2882: nat > int > ( int > $o ) > int ).

thf(func_def_3817,type,
    sK2883: ( nat > $o ) > nat ).

thf(func_def_3818,type,
    sK2884: ( int > rat ) > int ).

thf(func_def_3819,type,
    sK2885: ( int > rat ) > int ).

thf(func_def_3820,type,
    sK2886: set_complex > ( complex > real ) > set_complex > complex ).

thf(func_def_3821,type,
    sK2887: set_complex > ( complex > real ) > set_complex > complex ).

thf(func_def_3822,type,
    sK2888: real > nat > real ).

thf(func_def_3823,type,
    sK2889: ( int > int > $o ) > int > int > int ).

thf(func_def_3824,type,
    sK2890: ( int > int > $o ) > int > int > int ).

thf(func_def_3825,type,
    sK2891: set_int > ( int > rat ) > int ).

thf(func_def_3826,type,
    sK2892: set_nat > ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_3827,type,
    sK2893: ( int > int > set_set_nat ) > product_prod_int_int > set_nat > int ).

thf(func_def_3828,type,
    sK2894: ( int > int > set_set_nat ) > product_prod_int_int > set_nat > int ).

thf(func_def_3829,type,
    sK2895: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_3830,type,
    sK2896: real > ( real > real ) > real > real ).

thf(func_def_3831,type,
    sK2897: num > num ).

thf(func_def_3832,type,
    sK2898: real > set_real > real ).

thf(func_def_3833,type,
    sK2899: ( nat > $o ) > nat ).

thf(func_def_3834,type,
    sK2900: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_3835,type,
    sK2901: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_3836,type,
    sK2902: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_3837,type,
    sK2903: ( nat > real ) > ( nat > real ) > real ).

thf(func_def_3838,type,
    sK2904: ( nat > real ) > nat ).

thf(func_def_3839,type,
    sK2905: ( nat > real ) > nat ).

thf(func_def_3840,type,
    sK2906: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3841,type,
    sK2907: int > nat ).

thf(func_def_3842,type,
    sK2908: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3843,type,
    sK2909: ( nat > rat ) > set_nat > nat ).

thf(func_def_3844,type,
    sK2910: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_3845,type,
    sK2911: produc5491161045314408544at_nat > option4927543243414619207at_nat ).

thf(func_def_3846,type,
    sK2912: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_3847,type,
    sK2913: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_3848,type,
    sK2914: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_3849,type,
    sK2915: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_3850,type,
    sK2916: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_3851,type,
    sK2917: nat > product_prod_int_int > ( int > int > set_nat ) > int ).

thf(func_def_3852,type,
    sK2918: nat > product_prod_int_int > ( int > int > set_nat ) > int ).

thf(func_def_3853,type,
    sK2919: vEBT_VEBT > $o > list_VEBT_VEBT ).

thf(func_def_3854,type,
    sK2920: vEBT_VEBT > $o > nat ).

thf(func_def_3855,type,
    sK2921: vEBT_VEBT > $o > vEBT_VEBT ).

thf(func_def_3856,type,
    sK2922: $o > vEBT_VEBT > $o ).

thf(func_def_3857,type,
    sK2923: vEBT_VEBT > $o > $o ).

thf(func_def_3858,type,
    sK2924: $o > vEBT_VEBT > nat ).

thf(func_def_3859,type,
    sK2925: $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3860,type,
    sK2926: $o > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3861,type,
    sK2927: $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3862,type,
    sK2928: ( rat > real ) > rat ).

thf(func_def_3863,type,
    sK2929: ( rat > real ) > rat ).

thf(func_def_3864,type,
    sK2930: ( int > $o ) > list_int > nat ).

thf(func_def_3865,type,
    sK2931: ( rat > rat ) > rat ).

thf(func_def_3866,type,
    sK2932: ( rat > rat ) > rat ).

thf(func_def_3867,type,
    sK2933: list_real > set_real > real ).

thf(func_def_3868,type,
    sK2934: ( nat > $o ) > nat ).

thf(func_def_3869,type,
    sK2935: real > real > real ).

thf(func_def_3870,type,
    sK2936: real > real ).

thf(func_def_3871,type,
    sK2937: real > real > nat ).

thf(func_def_3872,type,
    sK2938: real > real ).

thf(func_def_3873,type,
    sK2939: ( int > $o ) > int > int ).

thf(func_def_3874,type,
    sK2940: nat > real > ( nat > real > real ) > nat ).

thf(func_def_3875,type,
    sK2941: nat > real > ( nat > real > real ) > real ).

thf(func_def_3876,type,
    sK2942: nat > ( nat > real > real ) > real > ( real > real ) > real ).

thf(func_def_3877,type,
    sK2943: set_rat > rat ).

thf(func_def_3878,type,
    sK2944: ( real > rat ) > real ).

thf(func_def_3879,type,
    sK2945: ( real > rat ) > real ).

thf(func_def_3880,type,
    sK2946: nat > nat > nat ).

thf(func_def_3881,type,
    sK2947: nat > nat > nat ).

thf(func_def_3882,type,
    sK2948: nat > nat > nat ).

thf(func_def_3883,type,
    sK2949: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3884,type,
    sK2950: rat > rat ).

thf(func_def_3885,type,
    sK2951: ( nat > $o ) > nat ).

thf(func_def_3886,type,
    sK2952: vEBT_VEBT > $o ).

thf(func_def_3887,type,
    sK2953: vEBT_VEBT > $o ).

thf(func_def_3888,type,
    sK2954: set_real > ( real > nat ) > ( real > nat ) > real ).

thf(func_def_3889,type,
    sK2955: set_real > ( real > real ) > real ).

thf(func_def_3890,type,
    sK2956: ( real > real ) > real > set_real > real > real ).

thf(func_def_3891,type,
    sK2957: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_3892,type,
    sK2958: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3893,type,
    sK2959: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3894,type,
    sK2960: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3895,type,
    sK2961: nat > vEBT_VEBT > nat ).

thf(func_def_3896,type,
    sK2962: nat > vEBT_VEBT > $o ).

thf(func_def_3897,type,
    sK2963: nat > vEBT_VEBT > $o ).

thf(func_def_3898,type,
    sK2964: real > real > real > real ).

thf(func_def_3899,type,
    sK2965: num > set_num > num ).

thf(func_def_3900,type,
    sK2966: set_nat > nat ).

thf(func_def_3901,type,
    sK2967: set_rat > rat > rat ).

thf(func_def_3902,type,
    sK2968: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3903,type,
    sK2969: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3904,type,
    sK2970: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3905,type,
    sK2971: vEBT_VEBT > nat ).

thf(func_def_3906,type,
    sK2972: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3907,type,
    sK2973: ( real > rat ) > real ).

thf(func_def_3908,type,
    sK2974: ( real > rat ) > real ).

thf(func_def_3909,type,
    sK2975: nat > vEBT_VEBT > nat ).

thf(func_def_3910,type,
    sK2976: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_3911,type,
    sK2977: ( set_complex > $o ) > set_complex > complex ).

thf(func_def_3912,type,
    sK2978: real > real > real ).

thf(func_def_3913,type,
    sK2979: num > num ).

thf(func_def_3914,type,
    sK2980: produc2285326912895808259nt_int > int ).

thf(func_def_3915,type,
    sK2981: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3916,type,
    sK2982: produc2285326912895808259nt_int > int ).

thf(func_def_3917,type,
    sK2983: ( set_nat > $o ) > ( nat > nat ) > nat ).

thf(func_def_3918,type,
    sK2984: ( set_nat > $o ) > ( nat > nat ) > set_nat ).

thf(func_def_3919,type,
    sK2985: real > real ).

thf(func_def_3920,type,
    sK2986: real > nat > real ).

thf(func_def_3921,type,
    sK2987: ( int > real ) > ( int > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_3922,type,
    sK2988: ( int > real ) > set_int > int ).

thf(func_def_3923,type,
    sK2989: ( num > real ) > num ).

thf(func_def_3924,type,
    sK2990: ( num > real ) > num ).

thf(func_def_3925,type,
    sK2991: rat > rat ).

thf(func_def_3926,type,
    sK2992: set_num > num ).

thf(func_def_3927,type,
    sK2993: nat > nat > nat ).

thf(func_def_3928,type,
    sK2994: ( int > int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > int ).

thf(func_def_3929,type,
    sK2995: ( int > int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > int ).

thf(func_def_3930,type,
    sK2996: set_int > ( int > nat ) > int ).

thf(func_def_3931,type,
    sK2997: nat > nat > nat > nat ).

thf(func_def_3932,type,
    sK2998: ( int > $o ) > set_int > int > int ).

thf(func_def_3933,type,
    sK2999: int > int > set_int > int ).

thf(func_def_3934,type,
    sK3000: int > int > set_int > int ).

thf(func_def_3935,type,
    sK3001: int > ( int > $o ) > set_int > int ).

thf(func_def_3936,type,
    sK3002: ( rat > num ) > rat ).

thf(func_def_3937,type,
    sK3003: ( rat > num ) > rat ).

thf(func_def_3938,type,
    sK3004: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_3939,type,
    sK3005: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3940,type,
    sK3006: vEBT_VEBT > nat ).

thf(func_def_3941,type,
    sK3007: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3942,type,
    sK3008: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3943,type,
    sK3009: vEBT_VEBT > $o ).

thf(func_def_3944,type,
    sK3010: vEBT_VEBT > $o ).

thf(func_def_3945,type,
    sK3011: ( nat > real ) > nat ).

thf(func_def_3946,type,
    sK3012: set_nat > list_set_nat > nat ).

thf(func_def_3947,type,
    sK3013: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3948,type,
    sK3014: nat > vEBT_VEBT > nat ).

thf(func_def_3949,type,
    sK3015: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3950,type,
    sK3016: nat > vEBT_VEBT > nat ).

thf(func_def_3951,type,
    sK3017: nat > vEBT_VEBT > nat ).

thf(func_def_3952,type,
    sK3018: vEBT_VEBT > nat > nat ).

thf(func_def_3953,type,
    sK3019: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3954,type,
    sK3020: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3955,type,
    sK3021: vEBT_VEBT > nat > nat ).

thf(func_def_3956,type,
    sK3022: vEBT_VEBT > nat > nat ).

thf(func_def_3957,type,
    sK3023: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3958,type,
    sK3024: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3959,type,
    sK3025: set_int > int ).

thf(func_def_3960,type,
    sK3026: ( nat > $o ) > nat ).

thf(func_def_3961,type,
    sK3027: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_3962,type,
    sK3028: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_3963,type,
    sK3029: ( real > nat ) > set_real > real ).

thf(func_def_3964,type,
    sK3030: int > ( int > int > $o ) > int > int ).

thf(func_def_3965,type,
    sK3031: int > ( int > int > $o ) > int > int ).

thf(func_def_3966,type,
    sK3032: set_complex > ( complex > rat ) > complex ).

thf(func_def_3967,type,
    sK3033: ( set_set_nat > $o ) > set_set_nat > set_set_nat ).

thf(func_def_3968,type,
    sK3034: ( set_set_nat > $o ) > set_set_nat > set_nat ).

thf(func_def_3969,type,
    sK3035: set_real > ( real > real ) > real ).

thf(func_def_3970,type,
    sK3036: set_complex > set_complex > ( complex > real ) > complex ).

thf(func_def_3971,type,
    sK3037: nat > ( nat > $o ) > nat ).

thf(func_def_3972,type,
    sK3038: ( nat > rat ) > nat ).

thf(func_def_3973,type,
    sK3039: nat > list_nat > list_nat ).

thf(func_def_3974,type,
    sK3040: nat > list_nat > nat ).

thf(func_def_3975,type,
    sK3041: set_real > ( real > rat ) > real ).

thf(func_def_3976,type,
    sK3042: rat > rat ).

thf(func_def_3977,type,
    sK3043: ( real > complex ) > ( int > complex ) > ( real > int ) > set_real > real ).

thf(func_def_3978,type,
    sK3044: ( int > complex ) > set_int > int ).

thf(func_def_3979,type,
    sK3045: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_3980,type,
    sK3046: set_real > ( real > complex ) > real ).

thf(func_def_3981,type,
    sK3047: set_int > set_int > ( int > real ) > ( real > int ) > int ).

thf(func_def_3982,type,
    sK3048: set_real > set_real > ( int > real ) > ( real > int ) > real ).

thf(func_def_3983,type,
    sK3049: set_real > set_int > set_int > set_real > ( real > int ) > real ).

thf(func_def_3984,type,
    sK3050: int > int ).

thf(func_def_3985,type,
    sK3051: nat > real > real ).

thf(func_def_3986,type,
    sK3052: num > num ).

thf(func_def_3987,type,
    sK3053: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3988,type,
    sK3054: ( rat > num ) > rat ).

thf(func_def_3989,type,
    sK3055: ( rat > num ) > rat ).

thf(func_def_3990,type,
    sK3056: rat > rat > rat ).

thf(func_def_3991,type,
    sK3057: ( produc2285326912895808259nt_int > $o ) > product_prod_int_int ).

thf(func_def_3992,type,
    sK3058: ( produc2285326912895808259nt_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3993,type,
    sK3059: nat > nat ).

thf(func_def_3994,type,
    sK3060: produc9072475918466114483BT_nat > nat ).

thf(func_def_3995,type,
    sK3061: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_3996,type,
    sK3062: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_3997,type,
    sK3063: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_3998,type,
    sK3064: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_3999,type,
    sK3065: produc9072475918466114483BT_nat > nat ).

thf(func_def_4000,type,
    sK3066: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_4001,type,
    sK3067: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_4002,type,
    sK3068: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_4003,type,
    sK3069: produc9072475918466114483BT_nat > nat ).

thf(func_def_4004,type,
    sK3070: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_4005,type,
    sK3071: produc9072475918466114483BT_nat > nat ).

thf(func_def_4006,type,
    sK3072: produc9072475918466114483BT_nat > nat ).

thf(func_def_4007,type,
    sK3073: produc9072475918466114483BT_nat > nat ).

thf(func_def_4008,type,
    sK3074: produc9072475918466114483BT_nat > $o ).

thf(func_def_4009,type,
    sK3075: produc9072475918466114483BT_nat > $o ).

thf(func_def_4010,type,
    sK3076: produc9072475918466114483BT_nat > nat ).

thf(func_def_4011,type,
    sK3077: produc9072475918466114483BT_nat > nat ).

thf(func_def_4012,type,
    sK3078: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_4013,type,
    sK3079: produc9072475918466114483BT_nat > nat ).

thf(func_def_4014,type,
    sK3080: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_4015,type,
    sK3081: int > ( int > nat ) > set_int > int ).

thf(func_def_4016,type,
    sK3082: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_4017,type,
    sK3083: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_4018,type,
    sK3084: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_4019,type,
    sK3085: ( nat > real ) > nat ).

thf(func_def_4020,type,
    sK3086: ( nat > real ) > nat ).

thf(func_def_4021,type,
    sK3087: int > int ).

thf(func_def_4022,type,
    sK3088: ( real > nat ) > set_real > real ).

thf(func_def_4023,type,
    sK3089: ( real > nat ) > set_real > real ).

thf(func_def_4024,type,
    sK3090: set_set_int > set_int ).

thf(func_def_4026,type,
    ph3092: 
      !>[X0: $tType] : X0 ).

thf(f63216,plain,
    $false,
    inference(avatar_sat_refutation,[],[f63030,f63215]) ).

thf(f63215,plain,
    ~ spl3091_25,
    inference(avatar_contradiction_clause,[],[f63214]) ).

thf(f63214,plain,
    ( $false
    | ~ spl3091_25 ),
    inference(subsumption_resolution,[],[f63213,f46658]) ).

thf(f46658,plain,
    ( ( vEBT_V8194947554948674370ptions @ summary @ maxs )
    = $true ),
    inference(cnf_transformation,[],[f15019]) ).

thf(f15019,plain,
    ( ( vEBT_V8194947554948674370ptions @ summary @ maxs )
    = $true ),
    inference(fool_elimination,[],[f15018]) ).

thf(f15018,plain,
    vEBT_V8194947554948674370ptions @ summary @ maxs,
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    vEBT_V8194947554948674370ptions @ summary @ maxs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062both__member__options_Asummary_Amaxs_092_060close_062) ).

thf(f63213,plain,
    ( ( ( vEBT_V8194947554948674370ptions @ summary @ maxs )
     != $true )
    | ~ spl3091_25 ),
    inference(subsumption_resolution,[],[f63191,f63108]) ).

thf(f63108,plain,
    ( ! [X0: nat] :
        ( $true
       != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) )
    | ~ spl3091_25 ),
    inference(subsumption_resolution,[],[f63107,f63036]) ).

thf(f63036,plain,
    ( ( maxs
     != ( vEBT_VEBT_high @ ma @ m ) )
    | ~ spl3091_25 ),
    inference(forward_demodulation,[],[f63035,f45410]) ).

thf(f45410,plain,
    m = na,
    inference(cnf_transformation,[],[f3]) ).

thf(f3,axiom,
    m = na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__C8_C) ).

thf(f63035,plain,
    ( ( maxs
     != ( vEBT_VEBT_high @ ma @ na ) )
    | ~ spl3091_25 ),
    inference(forward_demodulation,[],[f48336,f62753]) ).

thf(f62753,plain,
    ( ( xa = ma )
    | ~ spl3091_25 ),
    inference(avatar_component_clause,[],[f62752]) ).

thf(f62752,plain,
    ( spl3091_25
  <=> ( xa = ma ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3091_25])]) ).

thf(f48336,plain,
    ( maxs
   != ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf_transformation,[],[f14613]) ).

thf(f14613,plain,
    ( ( maxs
     != ( vEBT_VEBT_high @ xa @ na ) )
    & ( ( ord_less_nat @ maxs @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
      = $true ) ),
    inference(fool_elimination,[],[f14612]) ).

thf(f14612,plain,
    ( ( maxs
     != ( vEBT_VEBT_high @ xa @ na ) )
    & ( ord_less_nat @ maxs @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) ) ),
    inference(rectify,[],[f11]) ).

thf(f11,axiom,
    ( ( maxs
     != ( vEBT_VEBT_high @ xa @ na ) )
    & ( ord_less_nat @ maxs @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_bb) ).

thf(f63107,plain,
    ( ! [X0: nat] :
        ( ( maxs
          = ( vEBT_VEBT_high @ ma @ m ) )
        | ( $true
         != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) ) )
    | ~ spl3091_25 ),
    inference(superposition,[],[f63033,f46501]) ).

thf(f46501,plain,
    ! [X2: nat,X3: vEBT_VEBT,X0: nat,X1: list_VEBT_VEBT] :
      ( ( ( nth_VEBT_VEBT @ X1 @ X2 )
        = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ X1 @ X0 @ X3 ) @ X2 ) )
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f31422]) ).

thf(f31422,plain,
    ! [X0: nat,X1: list_VEBT_VEBT,X2: nat,X3: vEBT_VEBT] :
      ( ( X0 = X2 )
      | ( ( nth_VEBT_VEBT @ X1 @ X2 )
        = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ X1 @ X0 @ X3 ) @ X2 ) ) ),
    inference(ennf_transformation,[],[f26471]) ).

thf(f26471,plain,
    ! [X0: nat,X1: list_VEBT_VEBT,X2: nat,X3: vEBT_VEBT] :
      ( ( X0 != X2 )
     => ( ( nth_VEBT_VEBT @ X1 @ X2 )
        = ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ X1 @ X0 @ X3 ) @ X2 ) ) ),
    inference(rectify,[],[f23]) ).

thf(f23,axiom,
    ! [X5: nat,X13: list_VEBT_VEBT,X14: nat,X0: vEBT_VEBT] :
      ( ( X5 != X14 )
     => ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ X13 @ X5 @ X0 ) @ X14 )
        = ( nth_VEBT_VEBT @ X13 @ X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_nth__list__update__neq) ).

thf(f63033,plain,
    ( ! [X0: nat] :
        ( $true
       != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ma @ m ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ma @ m ) ) @ ( vEBT_VEBT_low @ ma @ m ) ) ) @ maxs ) @ X0 ) )
    | ~ spl3091_25 ),
    inference(backward_demodulation,[],[f63031,f62753]) ).

thf(f63031,plain,
    ! [X0: nat] :
      ( $true
     != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ m ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ m ) ) @ ( vEBT_VEBT_low @ xa @ m ) ) ) @ maxs ) @ X0 ) ),
    inference(backward_demodulation,[],[f47824,f45410]) ).

thf(f47824,plain,
    ! [X0: nat] :
      ( $true
     != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ maxs ) @ X0 ) ),
    inference(cnf_transformation,[],[f30680]) ).

thf(f30680,plain,
    ! [X0: nat] :
      ( $true
     != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ maxs ) @ X0 ) ),
    inference(ennf_transformation,[],[f19207]) ).

thf(f19207,plain,
    ~ ? [X0: nat] :
        ( $true
        = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ maxs ) @ X0 ) ),
    inference(fool_elimination,[],[f19206]) ).

thf(f19206,plain,
    ~ ? [X0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ maxs ) @ X0 ),
    inference(rectify,[],[f10250]) ).

thf(f10250,negated_conjecture,
    ~ ? [X17: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ maxs ) @ X17 ),
    inference(negated_conjecture,[],[f10249]) ).

thf(f10249,conjecture,
    ? [X17: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ maxs ) @ X17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f63191,plain,
    ( ( $true
      = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ ( sK1809 @ maxs ) ) )
    | ( ( vEBT_V8194947554948674370ptions @ summary @ maxs )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f63187]) ).

thf(f63187,plain,
    ( ( ( vEBT_V8194947554948674370ptions @ summary @ maxs )
     != $true )
    | ( $true
      = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ ( sK1809 @ maxs ) ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f63186,f63057]) ).

thf(f63057,plain,
    ( $true
    = ( ord_less_nat @ maxs @ ( size_s6755466524823107622T_VEBT @ treeList ) ) ),
    inference(forward_demodulation,[],[f48335,f57412]) ).

thf(f57412,plain,
    ( ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m )
    = ( size_s6755466524823107622T_VEBT @ treeList ) ),
    inference(cnf_transformation,[],[f37]) ).

thf(f37,axiom,
    ( ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m )
    = ( size_s6755466524823107622T_VEBT @ treeList ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36__C2_C) ).

thf(f48335,plain,
    ( ( ord_less_nat @ maxs @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
    = $true ),
    inference(cnf_transformation,[],[f14613]) ).

thf(f63186,plain,
    ! [X0: nat] :
      ( ( $true
       != ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ treeList ) ) )
      | ( $true
        = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ ( sK1809 @ X0 ) ) )
      | ( $true
       != ( vEBT_V8194947554948674370ptions @ summary @ X0 ) ) ),
    inference(forward_demodulation,[],[f50341,f57412]) ).

thf(f50341,plain,
    ! [X0: nat] :
      ( ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
       != $true )
      | ( $true
        = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ ( sK1809 @ X0 ) ) )
      | ( $true
       != ( vEBT_V8194947554948674370ptions @ summary @ X0 ) ) ),
    inference(cnf_transformation,[],[f38400]) ).

thf(f38400,plain,
    ! [X0: nat] :
      ( ( ( ( $true
            = ( vEBT_V8194947554948674370ptions @ summary @ X0 ) )
          | ! [X1: nat] :
              ( $true
             != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) ) )
        & ( ( $true
            = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ ( sK1809 @ X0 ) ) )
          | ( $true
           != ( vEBT_V8194947554948674370ptions @ summary @ X0 ) ) ) )
      | ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1809])],[f38398,f38399]) ).

thf(f38399,plain,
    ! [X0: nat] :
      ( ? [X2: nat] :
          ( $true
          = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X2 ) )
     => ( $true
        = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ ( sK1809 @ X0 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f38398,plain,
    ! [X0: nat] :
      ( ( ( ( $true
            = ( vEBT_V8194947554948674370ptions @ summary @ X0 ) )
          | ! [X1: nat] :
              ( $true
             != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) ) )
        & ( ? [X2: nat] :
              ( $true
              = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X2 ) )
          | ( $true
           != ( vEBT_V8194947554948674370ptions @ summary @ X0 ) ) ) )
      | ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
       != $true ) ),
    inference(rectify,[],[f38397]) ).

thf(f38397,plain,
    ! [X0: nat] :
      ( ( ( ( $true
            = ( vEBT_V8194947554948674370ptions @ summary @ X0 ) )
          | ! [X1: nat] :
              ( $true
             != ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) ) )
        & ( ? [X1: nat] :
              ( $true
              = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) )
          | ( $true
           != ( vEBT_V8194947554948674370ptions @ summary @ X0 ) ) ) )
      | ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
       != $true ) ),
    inference(nnf_transformation,[],[f30457]) ).

thf(f30457,plain,
    ! [X0: nat] :
      ( ( ( $true
          = ( vEBT_V8194947554948674370ptions @ summary @ X0 ) )
      <=> ? [X1: nat] :
            ( $true
            = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) ) )
      | ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
       != $true ) ),
    inference(ennf_transformation,[],[f16948]) ).

thf(f16948,plain,
    ! [X0: nat] :
      ( ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
        = $true )
     => ( ( $true
          = ( vEBT_V8194947554948674370ptions @ summary @ X0 ) )
      <=> ? [X1: nat] :
            ( $true
            = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) ) ) ),
    inference(fool_elimination,[],[f16947]) ).

thf(f16947,plain,
    ! [X0: nat] :
      ( ( ord_less_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
     => ( ( vEBT_V8194947554948674370ptions @ summary @ X0 )
        = ( ? [X1: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) @ X1 ) ) ) ),
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    ! [X6: nat] :
      ( ( ord_less_nat @ X6 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
     => ( ( vEBT_V8194947554948674370ptions @ summary @ X6 )
        = ( ? [X7: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X6 ) @ X7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__C4_C) ).

thf(f63030,plain,
    spl3091_25,
    inference(avatar_split_clause,[],[f44296,f62752]) ).

thf(f44296,plain,
    xa = ma,
    inference(cnf_transformation,[],[f12]) ).

thf(f12,axiom,
    xa = ma,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_True) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP262^3 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 17:00:22 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.37  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94  % (3755)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2994ds/183Mi)
% 0.77/0.95  % (3759)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2994ds/2Mi)
% 0.77/0.95  % (3762)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2994ds/3Mi)
% 0.77/0.95  % (3758)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2994ds/2Mi)
% 0.77/0.95  % (3756)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2994ds/4Mi)
% 0.77/0.95  % (3757)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2994ds/27Mi)
% 0.77/0.95  % (3759)Instruction limit reached!
% 0.77/0.95  % (3759)------------------------------
% 0.77/0.95  % (3759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.95  % (3759)Termination reason: Unknown
% 0.77/0.95  % (3759)Termination phase: shuffling
% 0.77/0.95  
% 0.77/0.95  % (3759)Memory used [KB]: 12920
% 0.77/0.95  % (3759)Time elapsed: 0.003 s
% 0.77/0.95  % (3759)Instructions burned: 2 (million)
% 0.77/0.95  % (3759)------------------------------
% 0.77/0.95  % (3759)------------------------------
% 0.77/0.95  % (3760)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2994ds/275Mi)
% 0.77/0.95  % (3761)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2994ds/18Mi)
% 0.77/0.95  % (3758)Instruction limit reached!
% 0.77/0.95  % (3758)------------------------------
% 0.77/0.95  % (3758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.95  % (3758)Termination reason: Unknown
% 0.77/0.95  % (3758)Termination phase: shuffling
% 0.77/0.95  
% 0.77/0.95  % (3758)Memory used [KB]: 12792
% 0.77/0.95  % (3758)Time elapsed: 0.003 s
% 0.77/0.95  % (3758)Instructions burned: 2 (million)
% 0.77/0.95  % (3758)------------------------------
% 0.77/0.95  % (3758)------------------------------
% 0.77/0.95  % (3762)Instruction limit reached!
% 0.77/0.95  % (3762)------------------------------
% 0.77/0.95  % (3762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.95  % (3762)Termination reason: Unknown
% 0.77/0.95  % (3762)Termination phase: shuffling
% 0.77/0.95  
% 0.77/0.95  % (3762)Memory used [KB]: 12920
% 0.77/0.95  % (3762)Time elapsed: 0.004 s
% 0.77/0.95  % (3762)Instructions burned: 3 (million)
% 0.77/0.95  % (3762)------------------------------
% 0.77/0.95  % (3762)------------------------------
% 0.77/0.95  % (3756)Instruction limit reached!
% 0.77/0.95  % (3756)------------------------------
% 0.77/0.95  % (3756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.95  % (3756)Termination reason: Unknown
% 0.77/0.95  % (3756)Termination phase: shuffling
% 0.77/0.95  
% 0.77/0.95  % (3756)Memory used [KB]: 13048
% 0.77/0.95  % (3756)Time elapsed: 0.005 s
% 0.77/0.95  % (3756)Instructions burned: 4 (million)
% 0.77/0.95  % (3756)------------------------------
% 0.77/0.95  % (3756)------------------------------
% 0.77/0.96  % (3763)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2994ds/37Mi)
% 0.77/0.96  % (3764)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2994ds/15Mi)
% 0.77/0.97  % (3765)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2994ds/3Mi)
% 0.77/0.97  % (3766)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2994ds/1041Mi)
% 0.77/0.97  % (3761)Instruction limit reached!
% 0.77/0.97  % (3761)------------------------------
% 0.77/0.97  % (3761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.97  % (3761)Termination reason: Unknown
% 0.77/0.97  % (3761)Termination phase: shuffling
% 0.77/0.97  
% 0.77/0.97  % (3761)Memory used [KB]: 13816
% 0.77/0.97  % (3761)Time elapsed: 0.020 s
% 0.77/0.97  % (3761)Instructions burned: 19 (million)
% 0.77/0.97  % (3761)------------------------------
% 0.77/0.97  % (3761)------------------------------
% 0.77/0.97  % (3765)Instruction limit reached!
% 0.77/0.97  % (3765)------------------------------
% 0.77/0.97  % (3765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.97  % (3765)Termination reason: Unknown
% 0.77/0.97  % (3765)Termination phase: shuffling
% 0.77/0.97  
% 0.77/0.97  % (3765)Memory used [KB]: 12920
% 0.77/0.97  % (3765)Time elapsed: 0.005 s
% 0.77/0.97  % (3765)Instructions burned: 3 (million)
% 0.77/0.97  % (3765)------------------------------
% 0.77/0.97  % (3765)------------------------------
% 0.77/0.97  % (3757)Instruction limit reached!
% 0.77/0.97  % (3757)------------------------------
% 0.77/0.97  % (3757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.97  % (3757)Termination reason: Unknown
% 0.77/0.97  % (3757)Termination phase: shuffling
% 0.77/0.97  
% 0.77/0.97  % (3757)Memory used [KB]: 13944
% 0.77/0.97  % (3757)Time elapsed: 0.024 s
% 0.77/0.97  % (3757)Instructions burned: 27 (million)
% 0.77/0.97  % (3757)------------------------------
% 0.77/0.97  % (3757)------------------------------
% 0.77/0.98  % (3764)Instruction limit reached!
% 0.77/0.98  % (3764)------------------------------
% 0.77/0.98  % (3764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.98  % (3764)Termination reason: Unknown
% 0.77/0.98  % (3764)Termination phase: shuffling
% 0.77/0.98  
% 0.77/0.98  % (3764)Memory used [KB]: 13688
% 0.77/0.98  % (3764)Time elapsed: 0.018 s
% 0.77/0.98  % (3764)Instructions burned: 15 (million)
% 0.77/0.98  % (3764)------------------------------
% 0.77/0.98  % (3764)------------------------------
% 0.77/0.98  % (3768)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2994ds/16Mi)
% 0.77/0.98  % (3767)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2994ds/7Mi)
% 0.77/0.99  % (3763)Instruction limit reached!
% 0.77/0.99  % (3763)------------------------------
% 0.77/0.99  % (3763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.99  % (3763)Termination reason: Unknown
% 0.77/0.99  % (3763)Termination phase: shuffling
% 0.77/0.99  
% 0.77/0.99  % (3763)Memory used [KB]: 14072
% 0.77/0.99  % (3763)Time elapsed: 0.028 s
% 0.77/0.99  % (3763)Instructions burned: 38 (million)
% 0.77/0.99  % (3763)------------------------------
% 0.77/0.99  % (3763)------------------------------
% 0.77/0.99  % (3767)Instruction limit reached!
% 0.77/0.99  % (3767)------------------------------
% 0.77/0.99  % (3767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/0.99  % (3767)Termination reason: Unknown
% 0.77/0.99  % (3767)Termination phase: shuffling
% 0.77/0.99  
% 0.77/0.99  % (3767)Memory used [KB]: 13304
% 0.77/0.99  % (3767)Time elapsed: 0.010 s
% 0.77/0.99  % (3767)Instructions burned: 7 (million)
% 0.77/0.99  % (3767)------------------------------
% 0.77/0.99  % (3767)------------------------------
% 0.77/0.99  % (3770)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2994ds/3Mi)
% 0.77/1.00  % (3770)Instruction limit reached!
% 0.77/1.00  % (3770)------------------------------
% 0.77/1.00  % (3770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/1.00  % (3770)Termination reason: Unknown
% 0.77/1.00  % (3770)Termination phase: shuffling
% 0.77/1.00  
% 0.77/1.00  % (3770)Memory used [KB]: 12920
% 0.77/1.00  % (3770)Time elapsed: 0.004 s
% 0.77/1.00  % (3770)Instructions burned: 3 (million)
% 0.77/1.00  % (3770)------------------------------
% 0.77/1.00  % (3770)------------------------------
% 0.77/1.00  % (3769)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2994ds/3Mi)
% 0.77/1.00  % (3768)Instruction limit reached!
% 0.77/1.00  % (3768)------------------------------
% 0.77/1.00  % (3768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/1.00  % (3768)Termination reason: Unknown
% 0.77/1.00  % (3768)Termination phase: shuffling
% 0.77/1.00  
% 0.77/1.00  % (3768)Memory used [KB]: 13688
% 0.77/1.00  % (3768)Time elapsed: 0.019 s
% 0.77/1.00  % (3768)Instructions burned: 17 (million)
% 0.77/1.00  % (3768)------------------------------
% 0.77/1.00  % (3768)------------------------------
% 0.77/1.00  % (3769)Instruction limit reached!
% 0.77/1.00  % (3769)------------------------------
% 0.77/1.00  % (3769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/1.00  % (3769)Termination reason: Unknown
% 0.77/1.00  % (3769)Termination phase: shuffling
% 0.77/1.00  
% 0.77/1.00  % (3769)Memory used [KB]: 12920
% 0.77/1.00  % (3769)Time elapsed: 0.004 s
% 0.77/1.00  % (3769)Instructions burned: 3 (million)
% 0.77/1.00  % (3769)------------------------------
% 0.77/1.00  % (3769)------------------------------
% 0.77/1.00  % (3771)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2993ds/7Mi)
% 0.77/1.01  % (3772)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2993ds/3Mi)
% 0.77/1.01  % (3773)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2993ds/4Mi)
% 0.77/1.01  % (3771)Instruction limit reached!
% 0.77/1.01  % (3771)------------------------------
% 0.77/1.01  % (3771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/1.01  % (3771)Termination reason: Unknown
% 0.77/1.01  % (3771)Termination phase: shuffling
% 0.77/1.01  
% 0.77/1.01  % (3771)Memory used [KB]: 13304
% 0.77/1.01  % (3771)Time elapsed: 0.010 s
% 0.77/1.01  % (3771)Instructions burned: 7 (million)
% 0.77/1.01  % (3771)------------------------------
% 0.77/1.01  % (3771)------------------------------
% 0.77/1.01  % (3772)Instruction limit reached!
% 0.77/1.01  % (3772)------------------------------
% 0.77/1.01  % (3772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/1.01  % (3772)Termination reason: Unknown
% 0.77/1.01  % (3772)Termination phase: shuffling
% 0.77/1.01  
% 0.77/1.01  % (3772)Memory used [KB]: 12920
% 0.77/1.01  % (3772)Time elapsed: 0.005 s
% 0.77/1.01  % (3772)Instructions burned: 3 (million)
% 0.77/1.01  % (3772)------------------------------
% 0.77/1.01  % (3772)------------------------------
% 0.77/1.01  % (3774)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2993ds/18Mi)
% 0.77/1.01  % (3773)Instruction limit reached!
% 0.77/1.01  % (3773)------------------------------
% 0.77/1.01  % (3773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.77/1.01  % (3773)Termination reason: Unknown
% 0.77/1.01  % (3773)Termination phase: shuffling
% 0.77/1.01  
% 0.77/1.01  % (3773)Memory used [KB]: 13048
% 0.77/1.01  % (3773)Time elapsed: 0.006 s
% 0.77/1.01  % (3773)Instructions burned: 4 (million)
% 0.77/1.01  % (3773)------------------------------
% 0.77/1.01  % (3773)------------------------------
% 0.77/1.02  % (3775)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2993ds/710Mi)
% 1.13/1.02  % (3776)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2993ds/6Mi)
% 1.13/1.03  % (3777)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2993ds/902Mi)
% 1.13/1.03  % (3778)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2993ds/21Mi)
% 1.13/1.03  % (3755)Instruction limit reached!
% 1.13/1.03  % (3755)------------------------------
% 1.13/1.03  % (3755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.03  % (3755)Termination reason: Unknown
% 1.13/1.03  % (3755)Termination phase: shuffling
% 1.13/1.03  
% 1.13/1.03  % (3755)Memory used [KB]: 16375
% 1.13/1.03  % (3755)Time elapsed: 0.088 s
% 1.13/1.03  % (3755)Instructions burned: 183 (million)
% 1.13/1.03  % (3755)------------------------------
% 1.13/1.03  % (3755)------------------------------
% 1.13/1.03  % (3776)Instruction limit reached!
% 1.13/1.03  % (3776)------------------------------
% 1.13/1.03  % (3776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.03  % (3776)Termination reason: Unknown
% 1.13/1.03  % (3776)Termination phase: shuffling
% 1.13/1.03  
% 1.13/1.03  % (3776)Memory used [KB]: 13176
% 1.13/1.03  % (3776)Time elapsed: 0.009 s
% 1.13/1.03  % (3776)Instructions burned: 6 (million)
% 1.13/1.03  % (3776)------------------------------
% 1.13/1.03  % (3776)------------------------------
% 1.13/1.03  % (3774)Instruction limit reached!
% 1.13/1.03  % (3774)------------------------------
% 1.13/1.03  % (3774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.03  % (3774)Termination reason: Unknown
% 1.13/1.03  % (3774)Termination phase: shuffling
% 1.13/1.03  
% 1.13/1.03  % (3774)Memory used [KB]: 13816
% 1.13/1.03  % (3774)Time elapsed: 0.021 s
% 1.13/1.03  % (3774)Instructions burned: 18 (million)
% 1.13/1.03  % (3774)------------------------------
% 1.13/1.03  % (3774)------------------------------
% 1.13/1.04  % (3779)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2993ds/5Mi)
% 1.13/1.04  % (3780)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2993ds/6Mi)
% 1.13/1.05  % (3779)Instruction limit reached!
% 1.13/1.05  % (3779)------------------------------
% 1.13/1.05  % (3779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.05  % (3779)Termination reason: Unknown
% 1.13/1.05  % (3779)Termination phase: shuffling
% 1.13/1.05  
% 1.13/1.05  % (3779)Memory used [KB]: 13176
% 1.13/1.05  % (3779)Time elapsed: 0.006 s
% 1.13/1.05  % (3779)Instructions burned: 5 (million)
% 1.13/1.05  % (3779)------------------------------
% 1.13/1.05  % (3779)------------------------------
% 1.13/1.05  % (3781)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2993ds/377Mi)
% 1.13/1.05  % (3778)Instruction limit reached!
% 1.13/1.05  % (3778)------------------------------
% 1.13/1.05  % (3778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.05  % (3778)Termination reason: Unknown
% 1.13/1.05  % (3778)Termination phase: shuffling
% 1.13/1.05  
% 1.13/1.05  % (3778)Memory used [KB]: 13816
% 1.13/1.05  % (3778)Time elapsed: 0.022 s
% 1.13/1.05  % (3778)Instructions burned: 21 (million)
% 1.13/1.05  % (3778)------------------------------
% 1.13/1.05  % (3778)------------------------------
% 1.13/1.05  % (3780)Instruction limit reached!
% 1.13/1.05  % (3780)------------------------------
% 1.13/1.05  % (3780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.05  % (3780)Termination reason: Unknown
% 1.13/1.05  % (3780)Termination phase: shuffling
% 1.13/1.05  
% 1.13/1.05  % (3780)Memory used [KB]: 13176
% 1.13/1.05  % (3780)Time elapsed: 0.008 s
% 1.13/1.05  % (3780)Instructions burned: 6 (million)
% 1.13/1.05  % (3780)------------------------------
% 1.13/1.05  % (3780)------------------------------
% 1.13/1.05  % (3782)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2993ds/779Mi)
% 1.13/1.07  % (3783)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2993ds/19Mi)
% 1.13/1.07  % (3784)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2993ds/879Mi)
% 1.13/1.08  % (3783)Instruction limit reached!
% 1.13/1.08  % (3783)------------------------------
% 1.13/1.08  % (3783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/1.08  % (3783)Termination reason: Unknown
% 1.13/1.08  % (3783)Termination phase: shuffling
% 1.13/1.08  
% 1.13/1.08  % (3783)Memory used [KB]: 13816
% 1.13/1.08  % (3783)Time elapsed: 0.021 s
% 1.13/1.08  % (3783)Instructions burned: 20 (million)
% 1.13/1.08  % (3783)------------------------------
% 1.13/1.08  % (3783)------------------------------
% 1.38/1.10  % (3785)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2992ds/17Mi)
% 1.38/1.10  % (3760)Instruction limit reached!
% 1.38/1.10  % (3760)------------------------------
% 1.38/1.10  % (3760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/1.10  % (3760)Termination reason: Unknown
% 1.38/1.10  % (3760)Termination phase: shuffling
% 1.38/1.10  
% 1.38/1.10  % (3760)Memory used [KB]: 17782
% 1.38/1.10  % (3760)Time elapsed: 0.155 s
% 1.38/1.10  % (3760)Instructions burned: 276 (million)
% 1.38/1.10  % (3760)------------------------------
% 1.38/1.10  % (3760)------------------------------
% 1.38/1.12  % (3785)Instruction limit reached!
% 1.38/1.12  % (3785)------------------------------
% 1.38/1.12  % (3785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/1.12  % (3785)Termination reason: Unknown
% 1.38/1.12  % (3785)Termination phase: shuffling
% 1.38/1.12  
% 1.38/1.12  % (3785)Memory used [KB]: 13688
% 1.38/1.12  % (3785)Time elapsed: 0.020 s
% 1.38/1.12  % (3785)Instructions burned: 17 (million)
% 1.38/1.12  % (3785)------------------------------
% 1.38/1.12  % (3785)------------------------------
% 1.38/1.12  % (3786)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2992ds/3Mi)
% 1.38/1.12  % (3786)Instruction limit reached!
% 1.38/1.12  % (3786)------------------------------
% 1.38/1.12  % (3786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/1.12  % (3786)Termination reason: Unknown
% 1.38/1.12  % (3786)Termination phase: shuffling
% 1.38/1.12  
% 1.38/1.12  % (3786)Memory used [KB]: 12920
% 1.38/1.12  % (3786)Time elapsed: 0.005 s
% 1.38/1.12  % (3786)Instructions burned: 3 (million)
% 1.38/1.12  % (3786)------------------------------
% 1.38/1.12  % (3786)------------------------------
% 1.38/1.13  % (3787)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2992ds/30Mi)
% 1.38/1.14  % (3788)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2992ds/127Mi)
% 1.38/1.16  % (3787)Instruction limit reached!
% 1.38/1.16  % (3787)------------------------------
% 1.38/1.16  % (3787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/1.16  % (3787)Termination reason: Unknown
% 1.38/1.16  % (3787)Termination phase: shuffling
% 1.38/1.16  
% 1.38/1.16  % (3787)Memory used [KB]: 13944
% 1.38/1.16  % (3787)Time elapsed: 0.027 s
% 1.38/1.16  % (3787)Instructions burned: 31 (million)
% 1.38/1.16  % (3787)------------------------------
% 1.38/1.16  % (3787)------------------------------
% 1.38/1.18  % (3789)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2992ds/100Mi)
% 2.64/1.21  % (3788)Instruction limit reached!
% 2.64/1.21  % (3788)------------------------------
% 2.64/1.21  % (3788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.64/1.21  % (3788)Termination reason: Unknown
% 2.64/1.21  % (3788)Termination phase: shuffling
% 2.64/1.21  
% 2.64/1.21  % (3788)Memory used [KB]: 15351
% 2.64/1.21  % (3788)Time elapsed: 0.075 s
% 2.64/1.21  % (3788)Instructions burned: 127 (million)
% 2.64/1.21  % (3788)------------------------------
% 2.64/1.21  % (3788)------------------------------
% 2.98/1.23  % (3790)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2991ds/3Mi)
% 2.98/1.23  % (3789)Instruction limit reached!
% 2.98/1.23  % (3789)------------------------------
% 2.98/1.23  % (3789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/1.23  % (3789)Termination reason: Unknown
% 2.98/1.23  % (3789)Termination phase: shuffling
% 2.98/1.23  
% 2.98/1.23  % (3789)Memory used [KB]: 14967
% 2.98/1.23  % (3789)Time elapsed: 0.058 s
% 2.98/1.23  % (3789)Instructions burned: 100 (million)
% 2.98/1.23  % (3789)------------------------------
% 2.98/1.23  % (3789)------------------------------
% 2.98/1.24  % (3790)Instruction limit reached!
% 2.98/1.24  % (3790)------------------------------
% 2.98/1.24  % (3790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/1.24  % (3790)Termination reason: Unknown
% 2.98/1.24  % (3790)Termination phase: shuffling
% 2.98/1.24  
% 2.98/1.24  % (3790)Memory used [KB]: 12920
% 2.98/1.24  % (3790)Time elapsed: 0.005 s
% 2.98/1.24  % (3790)Instructions burned: 3 (million)
% 2.98/1.24  % (3790)------------------------------
% 2.98/1.24  % (3790)------------------------------
% 2.98/1.24  % (3781)Instruction limit reached!
% 2.98/1.24  % (3781)------------------------------
% 2.98/1.24  % (3781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/1.24  % (3781)Termination reason: Unknown
% 2.98/1.24  % (3781)Termination phase: shuffling
% 2.98/1.24  
% 2.98/1.24  % (3781)Memory used [KB]: 18677
% 2.98/1.24  % (3781)Time elapsed: 0.192 s
% 2.98/1.24  % (3781)Instructions burned: 378 (million)
% 2.98/1.24  % (3781)------------------------------
% 2.98/1.24  % (3781)------------------------------
% 2.98/1.25  % (3791)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2991ds/20Mi)
% 2.98/1.25  % (3792)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2991ds/86Mi)
% 2.98/1.26  % (3793)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2991ds/107Mi)
% 2.98/1.27  % (3791)Instruction limit reached!
% 2.98/1.27  % (3791)------------------------------
% 2.98/1.27  % (3791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/1.27  % (3791)Termination reason: Unknown
% 2.98/1.27  % (3791)Termination phase: shuffling
% 2.98/1.27  
% 2.98/1.27  % (3791)Memory used [KB]: 13816
% 2.98/1.27  % (3791)Time elapsed: 0.021 s
% 2.98/1.27  % (3791)Instructions burned: 20 (million)
% 2.98/1.27  % (3791)------------------------------
% 2.98/1.27  % (3791)------------------------------
% 2.98/1.29  % (3794)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2991ds/39Mi)
% 2.98/1.30  % (3792)Instruction limit reached!
% 2.98/1.30  % (3792)------------------------------
% 2.98/1.30  % (3792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/1.30  % (3792)Termination reason: Unknown
% 2.98/1.30  % (3792)Termination phase: shuffling
% 2.98/1.30  
% 2.98/1.30  % (3792)Memory used [KB]: 14711
% 2.98/1.30  % (3792)Time elapsed: 0.054 s
% 2.98/1.30  % (3792)Instructions burned: 87 (million)
% 2.98/1.30  % (3792)------------------------------
% 2.98/1.30  % (3792)------------------------------
% 3.45/1.31  % (3782)Instruction limit reached!
% 3.45/1.31  % (3782)------------------------------
% 3.45/1.31  % (3782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/1.31  % (3782)Termination reason: Unknown
% 3.45/1.31  % (3782)Termination phase: shuffling
% 3.45/1.31  
% 3.45/1.31  % (3782)Memory used [KB]: 26481
% 3.45/1.31  % (3782)Time elapsed: 0.243 s
% 3.45/1.31  % (3782)Instructions burned: 781 (million)
% 3.45/1.31  % (3782)------------------------------
% 3.45/1.31  % (3782)------------------------------
% 3.45/1.31  % (3794)Instruction limit reached!
% 3.45/1.31  % (3794)------------------------------
% 3.45/1.31  % (3794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/1.31  % (3794)Termination reason: Unknown
% 3.45/1.31  % (3794)Termination phase: shuffling
% 3.45/1.31  
% 3.45/1.31  % (3794)Memory used [KB]: 14072
% 3.45/1.31  % (3794)Time elapsed: 0.030 s
% 3.45/1.31  % (3794)Instructions burned: 39 (million)
% 3.45/1.31  % (3794)------------------------------
% 3.45/1.31  % (3794)------------------------------
% 3.45/1.32  % (3793)Instruction limit reached!
% 3.45/1.32  % (3793)------------------------------
% 3.45/1.32  % (3793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/1.32  % (3793)Termination reason: Unknown
% 3.45/1.32  % (3793)Termination phase: shuffling
% 3.45/1.32  
% 3.45/1.32  % (3793)Memory used [KB]: 15095
% 3.45/1.32  % (3793)Time elapsed: 0.062 s
% 3.45/1.32  % (3793)Instructions burned: 108 (million)
% 3.45/1.32  % (3793)------------------------------
% 3.45/1.32  % (3793)------------------------------
% 3.45/1.32  % (3795)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2990ds/448Mi)
% 3.45/1.32  % (3796)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2990ds/46Mi)
% 3.45/1.33  % (3798)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2990ds/507Mi)
% 3.45/1.33  % (3797)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2990ds/98Mi)
% 3.45/1.36  % (3796)Instruction limit reached!
% 3.45/1.36  % (3796)------------------------------
% 3.45/1.36  % (3796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/1.36  % (3796)Termination reason: Unknown
% 3.45/1.36  % (3796)Termination phase: shuffling
% 3.45/1.36  
% 3.45/1.36  % (3796)Memory used [KB]: 14072
% 3.45/1.36  % (3796)Time elapsed: 0.035 s
% 3.45/1.36  % (3796)Instructions burned: 47 (million)
% 3.45/1.36  % (3796)------------------------------
% 3.45/1.36  % (3796)------------------------------
% 3.95/1.38  % (3799)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2990ds/149Mi)
% 3.95/1.38  % (3775)Instruction limit reached!
% 3.95/1.38  % (3775)------------------------------
% 3.95/1.38  % (3775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.95/1.38  % (3775)Termination reason: Unknown
% 3.95/1.38  % (3775)Termination phase: shuffling
% 3.95/1.38  
% 3.95/1.38  % (3775)Memory used [KB]: 23666
% 3.95/1.38  % (3775)Time elapsed: 0.371 s
% 3.95/1.38  % (3775)Instructions burned: 711 (million)
% 3.95/1.38  % (3775)------------------------------
% 3.95/1.38  % (3775)------------------------------
% 3.95/1.39  % (3797)Instruction limit reached!
% 3.95/1.39  % (3797)------------------------------
% 3.95/1.39  % (3797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.95/1.39  % (3797)Termination reason: Unknown
% 3.95/1.39  % (3797)Termination phase: shuffling
% 3.95/1.39  
% 3.95/1.39  % (3797)Memory used [KB]: 14967
% 3.95/1.39  % (3797)Time elapsed: 0.057 s
% 3.95/1.39  % (3797)Instructions burned: 99 (million)
% 3.95/1.39  % (3797)------------------------------
% 3.95/1.39  % (3797)------------------------------
% 3.95/1.40  % (3800)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2989ds/39Mi)
% 3.95/1.40  % (3801)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2989ds/6Mi)
% 3.95/1.41  % (3801)Instruction limit reached!
% 3.95/1.41  % (3801)------------------------------
% 3.95/1.41  % (3801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.95/1.41  % (3801)Termination reason: Unknown
% 3.95/1.41  % (3801)Termination phase: shuffling
% 3.95/1.41  
% 3.95/1.41  % (3801)Memory used [KB]: 13176
% 3.95/1.41  % (3801)Time elapsed: 0.009 s
% 3.95/1.41  % (3801)Instructions burned: 6 (million)
% 3.95/1.41  % (3801)------------------------------
% 3.95/1.41  % (3801)------------------------------
% 3.95/1.42  % (3802)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2989ds/1087Mi)
% 3.95/1.43  % (3800)Instruction limit reached!
% 3.95/1.43  % (3800)------------------------------
% 3.95/1.43  % (3800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.95/1.43  % (3800)Termination reason: Unknown
% 3.95/1.43  % (3800)Termination phase: shuffling
% 3.95/1.43  
% 3.95/1.43  % (3800)Memory used [KB]: 14200
% 3.95/1.43  % (3800)Time elapsed: 0.032 s
% 3.95/1.43  % (3800)Instructions burned: 40 (million)
% 3.95/1.43  % (3800)------------------------------
% 3.95/1.43  % (3800)------------------------------
% 3.95/1.44  % (3766)Instruction limit reached!
% 3.95/1.44  % (3766)------------------------------
% 3.95/1.44  % (3766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.95/1.44  % (3766)Termination reason: Unknown
% 3.95/1.44  % (3766)Termination phase: shuffling
% 3.95/1.44  
% 3.95/1.44  % (3766)Memory used [KB]: 34029
% 3.95/1.44  % (3766)Time elapsed: 0.479 s
% 3.95/1.44  % (3766)Instructions burned: 1041 (million)
% 3.95/1.44  % (3766)------------------------------
% 3.95/1.44  % (3766)------------------------------
% 3.95/1.45  % (3803)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2989ds/47Mi)
% 3.95/1.46  % (3804)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2989ds/44Mi)
% 4.39/1.47  % (3799)Instruction limit reached!
% 4.39/1.47  % (3799)------------------------------
% 4.39/1.47  % (3799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.39/1.47  % (3799)Termination reason: Unknown
% 4.39/1.47  % (3799)Termination phase: shuffling
% 4.39/1.47  
% 4.39/1.47  % (3799)Memory used [KB]: 15735
% 4.39/1.47  % (3799)Time elapsed: 0.064 s
% 4.39/1.47  % (3799)Instructions burned: 149 (million)
% 4.39/1.47  % (3799)------------------------------
% 4.39/1.47  % (3799)------------------------------
% 4.39/1.47  % (3777)Instruction limit reached!
% 4.39/1.47  % (3777)------------------------------
% 4.39/1.47  % (3777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.39/1.47  % (3777)Termination reason: Unknown
% 4.39/1.47  % (3777)Termination phase: Property scanning
% 4.39/1.47  
% 4.39/1.47  % (3777)Memory used [KB]: 26609
% 4.39/1.47  % (3777)Time elapsed: 0.449 s
% 4.39/1.47  % (3777)Instructions burned: 902 (million)
% 4.39/1.47  % (3777)------------------------------
% 4.39/1.47  % (3777)------------------------------
% 4.39/1.48  % (3805)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2989ds/432Mi)
% 4.50/1.49  % (3803)Instruction limit reached!
% 4.50/1.49  % (3803)------------------------------
% 4.50/1.49  % (3803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.50/1.49  % (3803)Termination reason: Unknown
% 4.50/1.49  % (3803)Termination phase: shuffling
% 4.50/1.49  
% 4.50/1.49  % (3803)Memory used [KB]: 14328
% 4.50/1.49  % (3803)Time elapsed: 0.027 s
% 4.50/1.49  % (3803)Instructions burned: 49 (million)
% 4.50/1.49  % (3803)------------------------------
% 4.50/1.49  % (3803)------------------------------
% 4.50/1.49  % (3804)Instruction limit reached!
% 4.50/1.49  % (3804)------------------------------
% 4.50/1.49  % (3804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.50/1.49  % (3804)Termination reason: Unknown
% 4.50/1.49  % (3804)Termination phase: shuffling
% 4.50/1.49  
% 4.50/1.49  % (3804)Memory used [KB]: 14200
% 4.50/1.49  % (3804)Time elapsed: 0.031 s
% 4.50/1.49  % (3804)Instructions burned: 45 (million)
% 4.50/1.49  % (3804)------------------------------
% 4.50/1.49  % (3804)------------------------------
% 4.50/1.50  % (3807)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2988ds/31Mi)
% 4.50/1.50  % (3806)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2988ds/62Mi)
% 4.50/1.51  % (3808)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2988ds/96Mi)
% 4.64/1.52  % (3784)Instruction limit reached!
% 4.64/1.52  % (3784)------------------------------
% 4.64/1.52  % (3784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.64/1.52  % (3784)Termination reason: Unknown
% 4.64/1.52  % (3784)Termination phase: Property scanning
% 4.64/1.52  
% 4.64/1.52  % (3784)Memory used [KB]: 26481
% 4.64/1.52  % (3784)Time elapsed: 0.459 s
% 4.64/1.52  % (3784)Instructions burned: 880 (million)
% 4.64/1.52  % (3784)------------------------------
% 4.64/1.52  % (3784)------------------------------
% 4.64/1.52  % (3795)Instruction limit reached!
% 4.64/1.52  % (3795)------------------------------
% 4.64/1.52  % (3795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.64/1.52  % (3795)Termination reason: Unknown
% 4.64/1.52  % (3795)Termination phase: shuffling
% 4.64/1.52  
% 4.64/1.52  % (3795)Memory used [KB]: 21875
% 4.64/1.52  % (3795)Time elapsed: 0.186 s
% 4.64/1.52  % (3795)Instructions burned: 448 (million)
% 4.64/1.52  % (3795)------------------------------
% 4.64/1.52  % (3795)------------------------------
% 4.84/1.53  % (3807)Instruction limit reached!
% 4.84/1.53  % (3807)------------------------------
% 4.84/1.53  % (3807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.53  % (3807)Termination reason: Unknown
% 4.84/1.53  % (3807)Termination phase: shuffling
% 4.84/1.53  
% 4.84/1.53  % (3807)Memory used [KB]: 13944
% 4.84/1.53  % (3807)Time elapsed: 0.023 s
% 4.84/1.53  % (3807)Instructions burned: 31 (million)
% 4.84/1.53  % (3807)------------------------------
% 4.84/1.53  % (3807)------------------------------
% 4.84/1.54  % (3811)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2988ds/71Mi)
% 4.84/1.54  % (3806)Instruction limit reached!
% 4.84/1.54  % (3806)------------------------------
% 4.84/1.54  % (3806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.54  % (3806)Termination reason: Unknown
% 4.84/1.54  % (3806)Termination phase: shuffling
% 4.84/1.54  
% 4.84/1.54  % (3806)Memory used [KB]: 14456
% 4.84/1.54  % (3806)Time elapsed: 0.039 s
% 4.84/1.54  % (3806)Instructions burned: 62 (million)
% 4.84/1.54  % (3806)------------------------------
% 4.84/1.54  % (3806)------------------------------
% 4.84/1.54  % (3810)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2988ds/453Mi)
% 4.84/1.55  % (3813)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2988ds/11Mi)
% 4.84/1.55  % (3812)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2988ds/83Mi)
% 4.84/1.57  % (3813)Instruction limit reached!
% 4.84/1.57  % (3813)------------------------------
% 4.84/1.57  % (3813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.57  % (3813)Termination reason: Unknown
% 4.84/1.57  % (3813)Termination phase: shuffling
% 4.84/1.57  
% 4.84/1.57  % (3813)Memory used [KB]: 13688
% 4.84/1.57  % (3813)Time elapsed: 0.016 s
% 4.84/1.57  % (3813)Instructions burned: 11 (million)
% 4.84/1.57  % (3813)------------------------------
% 4.84/1.57  % (3813)------------------------------
% 4.84/1.57  % (3811)Instruction limit reached!
% 4.84/1.57  % (3811)------------------------------
% 4.84/1.57  % (3811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.57  % (3811)Termination reason: Unknown
% 4.84/1.57  % (3811)Termination phase: shuffling
% 4.84/1.57  
% 4.84/1.57  % (3811)Memory used [KB]: 14583
% 4.84/1.57  % (3811)Time elapsed: 0.034 s
% 4.84/1.57  % (3811)Instructions burned: 72 (million)
% 4.84/1.57  % (3811)------------------------------
% 4.84/1.57  % (3811)------------------------------
% 4.84/1.57  % (3808)Instruction limit reached!
% 4.84/1.57  % (3808)------------------------------
% 4.84/1.57  % (3808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.58  % (3808)Termination reason: Unknown
% 4.84/1.58  % (3808)Termination phase: shuffling
% 4.84/1.58  
% 4.84/1.58  % (3808)Memory used [KB]: 14967
% 4.84/1.58  % (3808)Time elapsed: 0.058 s
% 4.84/1.58  % (3808)Instructions burned: 97 (million)
% 4.84/1.58  % (3808)------------------------------
% 4.84/1.58  % (3808)------------------------------
% 4.84/1.58  % (3798)Instruction limit reached!
% 4.84/1.58  % (3798)------------------------------
% 4.84/1.58  % (3798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.58  % (3798)Termination reason: Unknown
% 4.84/1.58  % (3798)Termination phase: shuffling
% 4.84/1.58  
% 4.84/1.58  % (3798)Memory used [KB]: 20340
% 4.84/1.58  % (3798)Time elapsed: 0.251 s
% 4.84/1.58  % (3798)Instructions burned: 507 (million)
% 4.84/1.58  % (3798)------------------------------
% 4.84/1.58  % (3798)------------------------------
% 4.84/1.58  % (3814)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2988ds/41Mi)
% 4.84/1.58  % (3815)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2988ds/6Mi)
% 4.84/1.59  % (3816)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2987ds/150Mi)
% 4.84/1.59  % (3815)Instruction limit reached!
% 4.84/1.59  % (3815)------------------------------
% 4.84/1.59  % (3815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.84/1.59  % (3815)Termination reason: Unknown
% 4.84/1.59  % (3815)Termination phase: shuffling
% 4.84/1.59  
% 4.84/1.59  % (3815)Memory used [KB]: 13176
% 4.84/1.59  % (3815)Time elapsed: 0.008 s
% 4.84/1.59  % (3815)Instructions burned: 6 (million)
% 4.84/1.59  % (3815)------------------------------
% 4.84/1.59  % (3815)------------------------------
% 4.84/1.59  % (3817)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2987ds/343Mi)
% 4.84/1.60  % (3818)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2987ds/109Mi)
% 5.35/1.61  % (3812)Instruction limit reached!
% 5.35/1.61  % (3812)------------------------------
% 5.35/1.61  % (3812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.35/1.61  % (3812)Termination reason: Unknown
% 5.35/1.61  % (3812)Termination phase: shuffling
% 5.35/1.61  
% 5.35/1.61  % (3812)Memory used [KB]: 14839
% 5.35/1.61  % (3812)Time elapsed: 0.054 s
% 5.35/1.61  % (3812)Instructions burned: 84 (million)
% 5.35/1.61  % (3812)------------------------------
% 5.35/1.61  % (3812)------------------------------
% 5.35/1.61  % (3814)Instruction limit reached!
% 5.35/1.61  % (3814)------------------------------
% 5.35/1.61  % (3814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.35/1.61  % (3814)Termination reason: Unknown
% 5.35/1.61  % (3814)Termination phase: shuffling
% 5.35/1.61  
% 5.35/1.61  % (3814)Memory used [KB]: 14200
% 5.35/1.61  % (3814)Time elapsed: 0.031 s
% 5.35/1.61  % (3814)Instructions burned: 43 (million)
% 5.35/1.61  % (3814)------------------------------
% 5.35/1.61  % (3814)------------------------------
% 5.35/1.63  % (3820)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2987ds/140Mi)
% 5.35/1.63  % (3819)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2987ds/253Mi)
% 5.35/1.65  % (3818)Instruction limit reached!
% 5.35/1.65  % (3818)------------------------------
% 5.35/1.65  % (3818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.35/1.65  % (3818)Termination reason: Unknown
% 5.35/1.65  % (3818)Termination phase: shuffling
% 5.35/1.65  
% 5.35/1.65  % (3818)Memory used [KB]: 15223
% 5.35/1.65  % (3818)Time elapsed: 0.048 s
% 5.35/1.65  % (3818)Instructions burned: 110 (million)
% 5.35/1.65  % (3818)------------------------------
% 5.35/1.65  % (3818)------------------------------
% 5.35/1.66  % (3821)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2987ds/614Mi)
% 5.35/1.67  % (3816)Instruction limit reached!
% 5.35/1.67  % (3816)------------------------------
% 5.35/1.67  % (3816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.35/1.67  % (3816)Termination reason: Unknown
% 5.35/1.67  % (3816)Termination phase: shuffling
% 5.35/1.67  
% 5.35/1.67  % (3816)Memory used [KB]: 15863
% 5.35/1.67  % (3816)Time elapsed: 0.086 s
% 5.35/1.67  % (3816)Instructions burned: 151 (million)
% 5.35/1.67  % (3816)------------------------------
% 5.35/1.67  % (3816)------------------------------
% 5.35/1.68  % (3805)Instruction limit reached!
% 5.35/1.68  % (3805)------------------------------
% 5.35/1.68  % (3805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.35/1.68  % (3805)Termination reason: Unknown
% 5.35/1.68  % (3805)Termination phase: shuffling
% 5.35/1.68  
% 5.35/1.68  % (3805)Memory used [KB]: 21748
% 5.35/1.68  % (3805)Time elapsed: 0.205 s
% 5.35/1.68  % (3805)Instructions burned: 432 (million)
% 5.35/1.68  % (3805)------------------------------
% 5.35/1.68  % (3805)------------------------------
% 6.43/1.69  % (3822)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2987ds/202Mi)
% 6.43/1.70  % (3823)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2986ds/339Mi)
% 6.43/1.70  % (3820)Instruction limit reached!
% 6.43/1.70  % (3820)------------------------------
% 6.43/1.70  % (3820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.43/1.70  % (3820)Termination reason: Unknown
% 6.43/1.70  % (3820)Termination phase: shuffling
% 6.43/1.70  
% 6.43/1.70  % (3820)Memory used [KB]: 15607
% 6.43/1.70  % (3820)Time elapsed: 0.080 s
% 6.43/1.70  % (3820)Instructions burned: 141 (million)
% 6.43/1.70  % (3820)------------------------------
% 6.43/1.70  % (3820)------------------------------
% 6.43/1.72  % (3824)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2986ds/283Mi)
% 6.43/1.77  % (3817)Instruction limit reached!
% 6.43/1.77  % (3817)------------------------------
% 6.43/1.77  % (3817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.43/1.77  % (3817)Termination reason: Unknown
% 6.43/1.77  % (3810)Instruction limit reached!
% 6.43/1.77  % (3810)------------------------------
% 6.43/1.77  % (3810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.43/1.77  % (3810)Termination reason: Unknown
% 6.43/1.77  % (3810)Termination phase: shuffling
% 6.43/1.77  
% 6.43/1.77  % (3810)Memory used [KB]: 22003
% 6.43/1.77  % (3810)Time elapsed: 0.227 s
% 6.43/1.77  % (3810)Instructions burned: 455 (million)
% 6.43/1.77  % (3810)------------------------------
% 6.43/1.77  % (3810)------------------------------
% 6.43/1.77  % (3817)Termination phase: shuffling
% 6.43/1.77  
% 6.43/1.77  % (3817)Memory used [KB]: 18677
% 6.43/1.77  % (3817)Time elapsed: 0.175 s
% 6.43/1.77  % (3817)Instructions burned: 343 (million)
% 6.43/1.77  % (3817)------------------------------
% 6.43/1.77  % (3817)------------------------------
% 6.43/1.77  % (3819)Instruction limit reached!
% 6.43/1.77  % (3819)------------------------------
% 6.43/1.77  % (3819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.43/1.77  % (3819)Termination reason: Unknown
% 6.43/1.77  % (3819)Termination phase: shuffling
% 6.43/1.77  
% 6.43/1.77  % (3819)Memory used [KB]: 17142
% 6.43/1.77  % (3819)Time elapsed: 0.141 s
% 6.43/1.77  % (3819)Instructions burned: 253 (million)
% 6.43/1.77  % (3819)------------------------------
% 6.43/1.77  % (3819)------------------------------
% 6.99/1.78  % (3825)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2986ds/134Mi)
% 6.99/1.79  % (3827)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2986ds/192Mi)
% 6.99/1.79  % (3826)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2986ds/298Mi)
% 6.99/1.80  % (3822)Instruction limit reached!
% 6.99/1.80  % (3822)------------------------------
% 6.99/1.80  % (3822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.99/1.80  % (3822)Termination reason: Unknown
% 6.99/1.80  % (3822)Termination phase: shuffling
% 6.99/1.80  
% 6.99/1.80  % (3822)Memory used [KB]: 16630
% 6.99/1.80  % (3822)Time elapsed: 0.111 s
% 6.99/1.80  % (3822)Instructions burned: 202 (million)
% 6.99/1.80  % (3822)------------------------------
% 6.99/1.80  % (3822)------------------------------
% 7.16/1.82  % (3828)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2985ds/258Mi)
% 7.19/1.85  % (3824)Instruction limit reached!
% 7.19/1.85  % (3824)------------------------------
% 7.19/1.85  % (3824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/1.86  % (3824)Termination reason: Unknown
% 7.19/1.86  % (3824)Termination phase: shuffling
% 7.19/1.86  
% 7.19/1.86  % (3824)Memory used [KB]: 19573
% 7.19/1.86  % (3824)Time elapsed: 0.136 s
% 7.19/1.86  % (3824)Instructions burned: 283 (million)
% 7.19/1.86  % (3824)------------------------------
% 7.19/1.86  % (3824)------------------------------
% 7.19/1.86  % (3825)Instruction limit reached!
% 7.19/1.86  % (3825)------------------------------
% 7.19/1.86  % (3825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/1.86  % (3825)Termination reason: Unknown
% 7.19/1.86  % (3825)Termination phase: shuffling
% 7.19/1.86  
% 7.19/1.86  % (3825)Memory used [KB]: 15479
% 7.19/1.86  % (3825)Time elapsed: 0.079 s
% 7.19/1.86  % (3825)Instructions burned: 134 (million)
% 7.19/1.86  % (3825)------------------------------
% 7.19/1.86  % (3825)------------------------------
% 7.19/1.87  % (3823)Instruction limit reached!
% 7.19/1.87  % (3823)------------------------------
% 7.19/1.87  % (3823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/1.87  % (3823)Termination reason: Unknown
% 7.19/1.87  % (3823)Termination phase: shuffling
% 7.19/1.87  
% 7.19/1.87  % (3823)Memory used [KB]: 18166
% 7.19/1.87  % (3823)Time elapsed: 0.176 s
% 7.19/1.87  % (3823)Instructions burned: 340 (million)
% 7.19/1.87  % (3823)------------------------------
% 7.19/1.87  % (3823)------------------------------
% 7.19/1.88  % (3829)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2985ds/90Mi)
% 7.19/1.89  % (3831)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2985ds/458Mi)
% 7.19/1.89  % (3830)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2985ds/231Mi)
% 7.19/1.89  % (3821)Instruction limit reached!
% 7.19/1.89  % (3821)------------------------------
% 7.19/1.89  % (3821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/1.89  % (3821)Termination reason: Unknown
% 7.19/1.89  % (3821)Termination phase: shuffling
% 7.19/1.89  
% 7.19/1.89  % (3821)Memory used [KB]: 24178
% 7.19/1.89  % (3821)Time elapsed: 0.228 s
% 7.19/1.89  % (3821)Instructions burned: 614 (million)
% 7.19/1.89  % (3821)------------------------------
% 7.19/1.89  % (3821)------------------------------
% 7.19/1.90  % (3827)Instruction limit reached!
% 7.19/1.90  % (3827)------------------------------
% 7.19/1.90  % (3827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/1.90  % (3827)Termination reason: Unknown
% 7.19/1.90  % (3827)Termination phase: shuffling
% 7.19/1.90  
% 7.19/1.90  % (3827)Memory used [KB]: 16502
% 7.19/1.90  % (3827)Time elapsed: 0.111 s
% 7.19/1.90  % (3827)Instructions burned: 193 (million)
% 7.19/1.90  % (3827)------------------------------
% 7.19/1.90  % (3827)------------------------------
% 7.19/1.91  % (3832)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2984ds/31Mi)
% 7.91/1.93  % (3832)Instruction limit reached!
% 7.91/1.93  % (3832)------------------------------
% 7.91/1.93  % (3832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.91/1.93  % (3832)Termination reason: Unknown
% 7.91/1.93  % (3832)Termination phase: shuffling
% 7.91/1.93  
% 7.91/1.93  % (3832)Memory used [KB]: 13944
% 7.91/1.93  % (3832)Time elapsed: 0.021 s
% 7.91/1.93  % (3832)Instructions burned: 31 (million)
% 7.91/1.93  % (3832)------------------------------
% 7.91/1.93  % (3832)------------------------------
% 7.91/1.93  % (3833)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2984ds/297Mi)
% 7.91/1.93  % (3829)Instruction limit reached!
% 7.91/1.93  % (3829)------------------------------
% 7.91/1.93  % (3829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.91/1.93  % (3829)Termination reason: Unknown
% 7.91/1.93  % (3829)Termination phase: shuffling
% 7.91/1.93  
% 7.91/1.93  % (3829)Memory used [KB]: 14839
% 7.91/1.93  % (3829)Time elapsed: 0.057 s
% 7.91/1.93  % (3829)Instructions burned: 91 (million)
% 7.91/1.93  % (3829)------------------------------
% 7.91/1.93  % (3829)------------------------------
% 7.91/1.93  % (3826)Instruction limit reached!
% 7.91/1.93  % (3826)------------------------------
% 7.91/1.93  % (3826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.91/1.93  % (3826)Termination reason: Unknown
% 7.91/1.93  % (3826)Termination phase: shuffling
% 7.91/1.93  
% 7.91/1.93  % (3826)Memory used [KB]: 19829
% 7.91/1.93  % (3826)Time elapsed: 0.144 s
% 7.91/1.93  % (3826)Instructions burned: 299 (million)
% 7.91/1.93  % (3826)------------------------------
% 7.91/1.93  % (3826)------------------------------
% 7.91/1.94  % (3834)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2984ds/987Mi)
% 7.91/1.95  % (3828)Instruction limit reached!
% 7.91/1.95  % (3828)------------------------------
% 7.91/1.95  % (3828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.91/1.95  % (3828)Termination reason: Unknown
% 7.91/1.95  % (3828)Termination phase: shuffling
% 7.91/1.95  
% 7.91/1.95  % (3828)Memory used [KB]: 17142
% 7.91/1.95  % (3828)Time elapsed: 0.133 s
% 7.91/1.95  % (3828)Instructions burned: 260 (million)
% 7.91/1.95  % (3828)------------------------------
% 7.91/1.95  % (3828)------------------------------
% 7.91/1.95  % (3836)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2984ds/182Mi)
% 7.91/1.95  % (3835)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2984ds/182Mi)
% 7.91/1.97  % (3802)Instruction limit reached!
% 7.91/1.97  % (3802)------------------------------
% 7.91/1.97  % (3802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.91/1.97  % (3802)Termination reason: Unknown
% 7.91/1.97  % (3802)Termination phase: Property scanning
% 7.91/1.97  
% 7.91/1.97  % (3802)Memory used [KB]: 26609
% 7.91/1.97  % (3802)Time elapsed: 0.548 s
% 7.91/1.97  % (3802)Instructions burned: 1088 (million)
% 7.91/1.97  % (3802)------------------------------
% 7.91/1.97  % (3802)------------------------------
% 7.91/1.97  % (3837)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2984ds/154Mi)
% 8.39/1.99  % (3838)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2983ds/79Mi)
% 8.39/2.00  % (3830)Instruction limit reached!
% 8.39/2.00  % (3830)------------------------------
% 8.39/2.00  % (3830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.39/2.00  % (3830)Termination reason: Unknown
% 8.39/2.00  % (3830)Termination phase: shuffling
% 8.39/2.00  
% 8.39/2.00  % (3830)Memory used [KB]: 16886
% 8.39/2.00  % (3830)Time elapsed: 0.116 s
% 8.39/2.00  % (3830)Instructions burned: 232 (million)
% 8.39/2.00  % (3830)------------------------------
% 8.39/2.00  % (3830)------------------------------
% 8.39/2.02  % (3839)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2983ds/216Mi)
% 8.39/2.04  % (3838)Instruction limit reached!
% 8.39/2.04  % (3838)------------------------------
% 8.39/2.04  % (3838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.39/2.04  % (3838)Termination reason: Unknown
% 8.39/2.04  % (3838)Termination phase: shuffling
% 8.39/2.04  
% 8.39/2.04  % (3838)Memory used [KB]: 14711
% 8.39/2.04  % (3838)Time elapsed: 0.051 s
% 8.39/2.04  % (3838)Instructions burned: 79 (million)
% 8.39/2.04  % (3838)------------------------------
% 8.39/2.04  % (3838)------------------------------
% 8.39/2.05  % (3836)Instruction limit reached!
% 8.39/2.05  % (3836)------------------------------
% 8.39/2.05  % (3836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.39/2.05  % (3836)Termination reason: Unknown
% 8.39/2.05  % (3836)Termination phase: shuffling
% 8.39/2.05  
% 8.39/2.05  % (3836)Memory used [KB]: 16247
% 8.39/2.05  % (3836)Time elapsed: 0.103 s
% 8.39/2.05  % (3836)Instructions burned: 183 (million)
% 8.39/2.05  % (3836)------------------------------
% 8.39/2.05  % (3836)------------------------------
% 8.39/2.05  % (3835)Instruction limit reached!
% 8.39/2.05  % (3835)------------------------------
% 8.39/2.05  % (3835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.39/2.05  % (3835)Termination reason: Unknown
% 8.39/2.05  % (3835)Termination phase: shuffling
% 8.39/2.05  
% 8.39/2.05  % (3835)Memory used [KB]: 16247
% 8.39/2.05  % (3835)Time elapsed: 0.104 s
% 8.39/2.05  % (3835)Instructions burned: 183 (million)
% 8.39/2.05  % (3835)------------------------------
% 8.39/2.05  % (3835)------------------------------
% 8.39/2.05  % (3840)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2983ds/114Mi)
% 8.39/2.06  % (3837)Instruction limit reached!
% 8.39/2.06  % (3837)------------------------------
% 8.39/2.06  % (3837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.39/2.06  % (3837)Termination reason: Unknown
% 8.39/2.06  % (3837)Termination phase: shuffling
% 8.39/2.06  
% 8.39/2.06  % (3837)Memory used [KB]: 15735
% 8.39/2.06  % (3837)Time elapsed: 0.058 s
% 8.39/2.06  % (3837)Instructions burned: 156 (million)
% 8.39/2.06  % (3837)------------------------------
% 8.39/2.06  % (3837)------------------------------
% 8.39/2.07  % (3841)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2983ds/922Mi)
% 8.89/2.07  % (3843)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2983ds/164Mi)
% 8.89/2.08  % (3842)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2983ds/182Mi)
% 8.89/2.08  % (3833)Instruction limit reached!
% 8.89/2.08  % (3833)------------------------------
% 8.89/2.08  % (3833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.89/2.08  % (3833)Termination reason: Unknown
% 8.89/2.08  % (3833)Termination phase: shuffling
% 8.89/2.08  
% 8.89/2.08  % (3833)Memory used [KB]: 19957
% 8.89/2.08  % (3833)Time elapsed: 0.154 s
% 8.89/2.08  % (3833)Instructions burned: 298 (million)
% 8.89/2.08  % (3833)------------------------------
% 8.89/2.08  % (3833)------------------------------
% 9.07/2.11  % (3844)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2982ds/50Mi)
% 9.07/2.12  % (3840)Instruction limit reached!
% 9.07/2.12  % (3840)------------------------------
% 9.07/2.12  % (3840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.12  % (3840)Termination reason: Unknown
% 9.07/2.12  % (3840)Termination phase: shuffling
% 9.07/2.12  
% 9.07/2.12  % (3840)Memory used [KB]: 15223
% 9.07/2.12  % (3840)Time elapsed: 0.069 s
% 9.07/2.12  % (3840)Instructions burned: 114 (million)
% 9.07/2.12  % (3840)------------------------------
% 9.07/2.12  % (3840)------------------------------
% 9.07/2.12  % (3831)Instruction limit reached!
% 9.07/2.12  % (3831)------------------------------
% 9.07/2.12  % (3831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.12  % (3831)Termination reason: Unknown
% 9.07/2.12  % (3831)Termination phase: shuffling
% 9.07/2.12  
% 9.07/2.12  % (3831)Memory used [KB]: 19701
% 9.07/2.12  % (3831)Time elapsed: 0.235 s
% 9.07/2.12  % (3831)Instructions burned: 458 (million)
% 9.07/2.12  % (3831)------------------------------
% 9.07/2.12  % (3831)------------------------------
% 9.07/2.13  % (3839)Instruction limit reached!
% 9.07/2.13  % (3839)------------------------------
% 9.07/2.13  % (3839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.13  % (3839)Termination reason: Unknown
% 9.07/2.13  % (3839)Termination phase: shuffling
% 9.07/2.13  
% 9.07/2.13  % (3839)Memory used [KB]: 16630
% 9.07/2.13  % (3839)Time elapsed: 0.109 s
% 9.07/2.13  % (3839)Instructions burned: 216 (million)
% 9.07/2.13  % (3839)------------------------------
% 9.07/2.13  % (3839)------------------------------
% 9.07/2.14  % (3845)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2982ds/368Mi)
% 9.07/2.14  % (3846)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2982ds/1021Mi)
% 9.07/2.14  % (3847)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2982ds/267Mi)
% 9.07/2.14  % (3843)Instruction limit reached!
% 9.07/2.14  % (3843)------------------------------
% 9.07/2.14  % (3843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.14  % (3843)Termination reason: Unknown
% 9.07/2.14  % (3843)Termination phase: shuffling
% 9.07/2.14  
% 9.07/2.14  % (3843)Memory used [KB]: 15991
% 9.07/2.14  % (3843)Time elapsed: 0.067 s
% 9.07/2.14  % (3843)Instructions burned: 166 (million)
% 9.07/2.14  % (3843)------------------------------
% 9.07/2.14  % (3843)------------------------------
% 9.07/2.14  % (3844)Instruction limit reached!
% 9.07/2.14  % (3844)------------------------------
% 9.07/2.14  % (3844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.14  % (3844)Termination reason: Unknown
% 9.07/2.15  % (3844)Termination phase: shuffling
% 9.07/2.15  
% 9.07/2.15  % (3844)Memory used [KB]: 14200
% 9.07/2.15  % (3844)Time elapsed: 0.035 s
% 9.07/2.15  % (3844)Instructions burned: 50 (million)
% 9.07/2.15  % (3844)------------------------------
% 9.07/2.15  % (3844)------------------------------
% 9.07/2.15  % (3848)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2982ds/204Mi)
% 9.07/2.16  % (3849)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2982ds/26Mi)
% 9.07/2.17  % (3842)Instruction limit reached!
% 9.07/2.17  % (3842)------------------------------
% 9.07/2.17  % (3842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.17  % (3842)Termination reason: Unknown
% 9.07/2.18  % (3842)Termination phase: shuffling
% 9.07/2.18  
% 9.07/2.18  % (3842)Memory used [KB]: 16247
% 9.07/2.18  % (3842)Time elapsed: 0.098 s
% 9.07/2.18  % (3842)Instructions burned: 183 (million)
% 9.07/2.18  % (3842)------------------------------
% 9.07/2.18  % (3842)------------------------------
% 9.07/2.18  % (3849)Instruction limit reached!
% 9.07/2.18  % (3849)------------------------------
% 9.07/2.18  % (3849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.07/2.18  % (3849)Termination reason: Unknown
% 9.07/2.18  % (3849)Termination phase: shuffling
% 9.07/2.18  
% 9.07/2.18  % (3849)Memory used [KB]: 13944
% 9.07/2.18  % (3849)Time elapsed: 0.025 s
% 9.07/2.18  % (3849)Instructions burned: 27 (million)
% 9.07/2.18  % (3849)------------------------------
% 9.07/2.18  % (3849)------------------------------
% 9.07/2.20  % (3851)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2981ds/4436Mi)
% 9.07/2.20  % (3850)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2982ds/53Mi)
% 9.78/2.23  % (3848)Instruction limit reached!
% 9.78/2.23  % (3848)------------------------------
% 9.78/2.23  % (3848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.78/2.23  % (3848)Termination reason: Unknown
% 9.78/2.23  % (3848)Termination phase: shuffling
% 9.78/2.23  
% 9.78/2.23  % (3848)Memory used [KB]: 16502
% 9.78/2.23  % (3848)Time elapsed: 0.080 s
% 9.78/2.23  % (3848)Instructions burned: 205 (million)
% 9.78/2.23  % (3848)------------------------------
% 9.78/2.23  % (3848)------------------------------
% 9.78/2.23  % (3850)Instruction limit reached!
% 9.78/2.23  % (3850)------------------------------
% 9.78/2.23  % (3850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.78/2.23  % (3850)Termination reason: Unknown
% 9.78/2.23  % (3850)Termination phase: shuffling
% 9.78/2.23  
% 9.78/2.23  % (3850)Memory used [KB]: 14328
% 9.78/2.23  % (3850)Time elapsed: 0.036 s
% 9.78/2.23  % (3850)Instructions burned: 53 (million)
% 9.78/2.23  % (3850)------------------------------
% 9.78/2.23  % (3850)------------------------------
% 9.78/2.24  % (3852)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2981ds/1539Mi)
% 9.78/2.25  % (3853)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2981ds/408Mi)
% 9.78/2.27  % (3847)Instruction limit reached!
% 9.78/2.27  % (3847)------------------------------
% 9.78/2.27  % (3847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.78/2.27  % (3847)Termination reason: Unknown
% 9.78/2.27  % (3847)Termination phase: shuffling
% 9.78/2.27  
% 9.78/2.27  % (3847)Memory used [KB]: 19445
% 9.78/2.27  % (3847)Time elapsed: 0.127 s
% 9.78/2.27  % (3847)Instructions burned: 268 (million)
% 9.78/2.27  % (3847)------------------------------
% 9.78/2.27  % (3847)------------------------------
% 11.14/2.30  % (3854)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2981ds/5205Mi)
% 11.14/2.33  % (3845)Instruction limit reached!
% 11.14/2.33  % (3845)------------------------------
% 11.14/2.33  % (3845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.14/2.33  % (3845)Termination reason: Unknown
% 11.14/2.33  % (3845)Termination phase: shuffling
% 11.14/2.33  
% 11.14/2.33  % (3845)Memory used [KB]: 18805
% 11.14/2.33  % (3845)Time elapsed: 0.197 s
% 11.14/2.33  % (3845)Instructions burned: 368 (million)
% 11.14/2.33  % (3845)------------------------------
% 11.14/2.33  % (3845)------------------------------
% 11.14/2.36  % (3855)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2980ds/1913Mi)
% 11.84/2.40  % (3834)Instruction limit reached!
% 11.84/2.40  % (3834)------------------------------
% 11.84/2.40  % (3834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.84/2.40  % (3834)Termination reason: Unknown
% 11.84/2.40  % (3834)Termination phase: shuffling
% 11.84/2.40  
% 11.84/2.40  % (3834)Memory used [KB]: 33261
% 11.84/2.40  % (3834)Time elapsed: 0.428 s
% 11.84/2.40  % (3834)Instructions burned: 987 (million)
% 11.84/2.40  % (3834)------------------------------
% 11.84/2.40  % (3834)------------------------------
% 11.94/2.42  % (3856)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2979ds/4350Mi)
% 11.94/2.47  % (3853)Instruction limit reached!
% 11.94/2.47  % (3853)------------------------------
% 11.94/2.47  % (3853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/2.47  % (3853)Termination reason: Unknown
% 11.94/2.47  % (3853)Termination phase: shuffling
% 11.94/2.47  
% 11.94/2.47  % (3853)Memory used [KB]: 19317
% 11.94/2.47  % (3853)Time elapsed: 0.221 s
% 11.94/2.47  % (3853)Instructions burned: 408 (million)
% 11.94/2.47  % (3853)------------------------------
% 11.94/2.47  % (3853)------------------------------
% 11.94/2.49  % (3857)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2979ds/68Mi)
% 12.51/2.51  % (3841)Instruction limit reached!
% 12.51/2.51  % (3841)------------------------------
% 12.51/2.51  % (3841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.51/2.51  % (3841)Termination reason: Unknown
% 12.51/2.51  % (3841)Termination phase: Property scanning
% 12.51/2.51  
% 12.51/2.51  % (3841)Memory used [KB]: 26609
% 12.51/2.51  % (3841)Time elapsed: 0.447 s
% 12.51/2.51  % (3841)Instructions burned: 923 (million)
% 12.51/2.51  % (3841)------------------------------
% 12.51/2.51  % (3841)------------------------------
% 12.51/2.53  % (3857)Instruction limit reached!
% 12.51/2.53  % (3857)------------------------------
% 12.51/2.53  % (3857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.51/2.53  % (3857)Termination reason: Unknown
% 12.51/2.53  % (3857)Termination phase: shuffling
% 12.51/2.53  
% 12.51/2.53  % (3857)Memory used [KB]: 14583
% 12.51/2.53  % (3857)Time elapsed: 0.033 s
% 12.51/2.53  % (3857)Instructions burned: 68 (million)
% 12.51/2.53  % (3857)------------------------------
% 12.51/2.53  % (3857)------------------------------
% 12.51/2.54  % (3859)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2978ds/31Mi)
% 12.51/2.54  % (3858)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2978ds/358Mi)
% 12.51/2.55  % (3859)Instruction limit reached!
% 12.51/2.55  % (3859)------------------------------
% 12.51/2.55  % (3859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.51/2.55  % (3859)Termination reason: Unknown
% 12.51/2.55  % (3859)Termination phase: shuffling
% 12.51/2.55  
% 12.51/2.55  % (3859)Memory used [KB]: 13944
% 12.51/2.55  % (3859)Time elapsed: 0.020 s
% 12.51/2.55  % (3859)Instructions burned: 31 (million)
% 12.51/2.55  % (3859)------------------------------
% 12.51/2.55  % (3859)------------------------------
% 12.51/2.56  % (3860)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2978ds/279Mi)
% 12.93/2.64  % (3846)Instruction limit reached!
% 12.93/2.64  % (3846)------------------------------
% 12.93/2.64  % (3846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.93/2.64  % (3846)Termination reason: Unknown
% 12.93/2.64  % (3846)Termination phase: Property scanning
% 12.93/2.64  
% 12.93/2.64  % (3846)Memory used [KB]: 26609
% 12.93/2.64  % (3846)Time elapsed: 0.499 s
% 12.93/2.64  % (3846)Instructions burned: 1021 (million)
% 12.93/2.64  % (3846)------------------------------
% 12.93/2.64  % (3846)------------------------------
% 12.93/2.66  % (3860)Instruction limit reached!
% 12.93/2.66  % (3860)------------------------------
% 12.93/2.66  % (3860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.93/2.66  % (3860)Termination reason: Unknown
% 12.93/2.66  % (3860)Termination phase: shuffling
% 12.93/2.66  
% 12.93/2.66  % (3860)Memory used [KB]: 19701
% 12.93/2.66  % (3860)Time elapsed: 0.093 s
% 12.93/2.66  % (3860)Instructions burned: 280 (million)
% 12.93/2.66  % (3860)------------------------------
% 12.93/2.66  % (3860)------------------------------
% 12.93/2.67  % (3861)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2977ds/258Mi)
% 12.93/2.67  % (3862)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2977ds/26Mi)
% 13.41/2.69  % (3862)Instruction limit reached!
% 13.41/2.69  % (3862)------------------------------
% 13.41/2.69  % (3862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.41/2.70  % (3862)Termination reason: Unknown
% 13.41/2.70  % (3862)Termination phase: shuffling
% 13.41/2.70  
% 13.41/2.70  % (3862)Memory used [KB]: 13944
% 13.41/2.70  % (3862)Time elapsed: 0.024 s
% 13.41/2.70  % (3862)Instructions burned: 26 (million)
% 13.41/2.70  % (3862)------------------------------
% 13.41/2.70  % (3862)------------------------------
% 13.50/2.71  % (3863)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2976ds/995Mi)
% 13.50/2.72  % (3858)Instruction limit reached!
% 13.50/2.72  % (3858)------------------------------
% 13.50/2.72  % (3858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.50/2.72  % (3858)Termination reason: Unknown
% 13.50/2.72  % (3858)Termination phase: shuffling
% 13.50/2.72  
% 13.50/2.72  % (3858)Memory used [KB]: 18805
% 13.50/2.72  % (3858)Time elapsed: 0.186 s
% 13.50/2.72  % (3858)Instructions burned: 359 (million)
% 13.50/2.72  % (3858)------------------------------
% 13.50/2.72  % (3858)------------------------------
% 13.50/2.75  % (3864)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2976ds/373Mi)
% 13.50/2.77  % (3861)Instruction limit reached!
% 13.50/2.77  % (3861)------------------------------
% 13.50/2.77  % (3861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.50/2.77  % (3861)Termination reason: Unknown
% 13.50/2.77  % (3861)Termination phase: shuffling
% 13.50/2.77  
% 13.50/2.77  % (3861)Memory used [KB]: 17270
% 13.50/2.77  % (3861)Time elapsed: 0.106 s
% 13.50/2.77  % (3861)Instructions burned: 258 (million)
% 13.50/2.77  % (3861)------------------------------
% 13.50/2.77  % (3861)------------------------------
% 13.50/2.78  % (3865)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2976ds/253Mi)
% 15.12/2.88  % (3865)Instruction limit reached!
% 15.12/2.88  % (3865)------------------------------
% 15.12/2.88  % (3865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.12/2.88  % (3865)Termination reason: Unknown
% 15.12/2.88  % (3865)Termination phase: shuffling
% 15.12/2.88  
% 15.12/2.88  % (3865)Memory used [KB]: 17142
% 15.12/2.88  % (3865)Time elapsed: 0.086 s
% 15.12/2.88  % (3865)Instructions burned: 254 (million)
% 15.12/2.88  % (3865)------------------------------
% 15.12/2.88  % (3865)------------------------------
% 15.12/2.89  % (3866)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2974ds/832Mi)
% 15.84/2.93  % (3864)Instruction limit reached!
% 15.84/2.93  % (3864)------------------------------
% 15.84/2.93  % (3864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.84/2.93  % (3864)Termination reason: Unknown
% 15.84/2.93  % (3864)Termination phase: shuffling
% 15.84/2.93  
% 15.84/2.93  % (3864)Memory used [KB]: 18933
% 15.84/2.93  % (3864)Time elapsed: 0.190 s
% 15.84/2.93  % (3864)Instructions burned: 373 (million)
% 15.84/2.93  % (3864)------------------------------
% 15.84/2.93  % (3864)------------------------------
% 15.84/2.94  % (3852)Instruction limit reached!
% 15.84/2.94  % (3852)------------------------------
% 15.84/2.94  % (3852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.84/2.94  % (3852)Termination reason: Unknown
% 15.84/2.94  % (3852)Termination phase: SInE selection
% 15.84/2.94  
% 15.84/2.94  % (3852)Memory used [KB]: 26609
% 15.84/2.94  % (3852)Time elapsed: 0.689 s
% 15.84/2.94  % (3852)Instructions burned: 1539 (million)
% 15.84/2.94  % (3852)------------------------------
% 15.84/2.94  % (3852)------------------------------
% 15.84/2.95  % (3868)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2974ds/40Mi)
% 15.84/2.96  % (3867)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2974ds/668Mi)
% 15.84/2.98  % (3868)Instruction limit reached!
% 15.84/2.98  % (3868)------------------------------
% 15.84/2.98  % (3868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.84/2.98  % (3868)Termination reason: Unknown
% 15.84/2.98  % (3868)Termination phase: shuffling
% 15.84/2.98  
% 15.84/2.98  % (3868)Memory used [KB]: 14072
% 15.84/2.98  % (3868)Time elapsed: 0.030 s
% 15.84/2.98  % (3868)Instructions burned: 41 (million)
% 15.84/2.98  % (3868)------------------------------
% 15.84/2.98  % (3868)------------------------------
% 15.84/3.00  % (3869)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2973ds/294Mi)
% 16.95/3.14  % (3869)Instruction limit reached!
% 16.95/3.14  % (3869)------------------------------
% 16.95/3.14  % (3869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.95/3.14  % (3869)Termination reason: Unknown
% 16.95/3.14  % (3869)Termination phase: shuffling
% 16.95/3.14  
% 16.95/3.14  % (3869)Memory used [KB]: 19701
% 16.95/3.14  % (3869)Time elapsed: 0.143 s
% 16.95/3.14  % (3869)Instructions burned: 294 (million)
% 16.95/3.14  % (3869)------------------------------
% 16.95/3.14  % (3869)------------------------------
% 16.95/3.16  % (3870)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2972ds/187Mi)
% 16.95/3.17  % (3863)Instruction limit reached!
% 16.95/3.17  % (3863)------------------------------
% 16.95/3.17  % (3863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.95/3.17  % (3863)Termination reason: Unknown
% 16.95/3.17  % (3863)Termination phase: shuffling
% 16.95/3.17  
% 16.95/3.17  % (3863)Memory used [KB]: 33389
% 16.95/3.17  % (3863)Time elapsed: 0.457 s
% 16.95/3.17  % (3863)Instructions burned: 997 (million)
% 16.95/3.17  % (3863)------------------------------
% 16.95/3.17  % (3863)------------------------------
% 16.95/3.18  % (3856)Refutation not found, incomplete strategy
% 16.95/3.18  % (3856)------------------------------
% 16.95/3.18  % (3856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.95/3.18  % (3856)Termination reason: Refutation not found, incomplete strategy
% 16.95/3.18  
% 16.95/3.18  
% 16.95/3.18  % (3856)Memory used [KB]: 31470
% 16.95/3.18  % (3856)Time elapsed: 0.769 s
% 16.95/3.18  % (3856)Instructions burned: 1601 (million)
% 16.95/3.18  % (3856)------------------------------
% 16.95/3.18  % (3856)------------------------------
% 17.62/3.19  % (3871)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2972ds/371Mi)
% 17.64/3.20  % (3872)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2971ds/1827Mi)
% 17.64/3.21  % (3867)Instruction limit reached!
% 17.64/3.21  % (3867)------------------------------
% 17.64/3.21  % (3867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.64/3.21  % (3867)Termination reason: Unknown
% 17.64/3.21  % (3867)Termination phase: shuffling
% 17.64/3.21  
% 17.64/3.21  % (3867)Memory used [KB]: 24946
% 17.64/3.21  % (3867)Time elapsed: 0.217 s
% 17.64/3.21  % (3867)Instructions burned: 669 (million)
% 17.64/3.21  % (3867)------------------------------
% 17.64/3.21  % (3867)------------------------------
% 17.64/3.22  % (3873)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2971ds/70Mi)
% 17.64/3.26  % (3870)Instruction limit reached!
% 17.64/3.26  % (3870)------------------------------
% 17.64/3.26  % (3870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.64/3.26  % (3870)Termination reason: Unknown
% 17.64/3.26  % (3870)Termination phase: shuffling
% 17.64/3.26  
% 17.64/3.26  % (3870)Memory used [KB]: 16119
% 17.64/3.26  % (3870)Time elapsed: 0.103 s
% 17.64/3.26  % (3870)Instructions burned: 188 (million)
% 17.64/3.26  % (3870)------------------------------
% 17.64/3.26  % (3870)------------------------------
% 17.64/3.26  % (3855)Instruction limit reached!
% 17.64/3.26  % (3855)------------------------------
% 17.64/3.26  % (3855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.64/3.26  % (3855)Termination reason: Unknown
% 17.64/3.26  % (3855)Termination phase: SInE selection
% 17.64/3.26  
% 17.64/3.26  % (3855)Memory used [KB]: 27376
% 17.64/3.26  % (3855)Time elapsed: 0.903 s
% 17.64/3.26  % (3855)Instructions burned: 1914 (million)
% 17.64/3.26  % (3855)------------------------------
% 17.64/3.26  % (3855)------------------------------
% 17.64/3.26  % (3873)Instruction limit reached!
% 17.64/3.26  % (3873)------------------------------
% 17.64/3.26  % (3873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.64/3.26  % (3873)Termination reason: Unknown
% 17.64/3.26  % (3873)Termination phase: shuffling
% 17.64/3.26  
% 17.64/3.26  % (3873)Memory used [KB]: 14583
% 17.64/3.26  % (3873)Time elapsed: 0.042 s
% 17.64/3.26  % (3873)Instructions burned: 70 (million)
% 17.64/3.26  % (3873)------------------------------
% 17.64/3.26  % (3873)------------------------------
% 17.64/3.27  % (3874)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2971ds/316Mi)
% 17.64/3.28  % (3875)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2971ds/932Mi)
% 17.64/3.28  % (3876)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2971ds/4714Mi)
% 18.29/3.32  % (3866)Instruction limit reached!
% 18.29/3.32  % (3866)------------------------------
% 18.29/3.32  % (3866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.29/3.32  % (3866)Termination reason: Unknown
% 18.29/3.32  % (3866)Termination phase: Property scanning
% 18.29/3.32  
% 18.29/3.32  % (3866)Memory used [KB]: 26609
% 18.29/3.32  % (3866)Time elapsed: 0.404 s
% 18.29/3.32  % (3866)Instructions burned: 832 (million)
% 18.29/3.32  % (3866)------------------------------
% 18.29/3.32  % (3866)------------------------------
% 18.29/3.34  % (3871)Instruction limit reached!
% 18.29/3.34  % (3871)------------------------------
% 18.29/3.34  % (3871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.29/3.34  % (3871)Termination reason: Unknown
% 18.29/3.34  % (3871)Termination phase: shuffling
% 18.29/3.34  
% 18.29/3.34  % (3871)Memory used [KB]: 18677
% 18.29/3.34  % (3871)Time elapsed: 0.150 s
% 18.29/3.34  % (3871)Instructions burned: 371 (million)
% 18.29/3.34  % (3871)------------------------------
% 18.29/3.34  % (3871)------------------------------
% 18.29/3.35  % (3877)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2970ds/8250Mi)
% 18.29/3.36  % (3878)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2970ds/770Mi)
% 19.06/3.43  % (3874)Instruction limit reached!
% 19.06/3.43  % (3874)------------------------------
% 19.06/3.43  % (3874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.06/3.43  % (3874)Termination reason: Unknown
% 19.06/3.43  % (3874)Termination phase: shuffling
% 19.06/3.43  
% 19.06/3.43  % (3874)Memory used [KB]: 20084
% 19.06/3.43  % (3874)Time elapsed: 0.157 s
% 19.06/3.43  % (3874)Instructions burned: 316 (million)
% 19.06/3.43  % (3874)------------------------------
% 19.06/3.43  % (3874)------------------------------
% 19.06/3.45  % (3879)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2969ds/794Mi)
% 22.08/3.70  % (3875)Instruction limit reached!
% 22.08/3.70  % (3875)------------------------------
% 22.08/3.70  % (3875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.08/3.70  % (3875)Termination reason: Unknown
% 22.08/3.70  % (3875)Termination phase: shuffling
% 22.08/3.70  
% 22.08/3.70  % (3875)Memory used [KB]: 32622
% 22.08/3.70  % (3875)Time elapsed: 0.422 s
% 22.08/3.70  % (3875)Instructions burned: 933 (million)
% 22.08/3.70  % (3875)------------------------------
% 22.08/3.70  % (3875)------------------------------
% 22.08/3.72  % (3880)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2966ds/464Mi)
% 22.08/3.76  % (3879)Instruction limit reached!
% 22.08/3.76  % (3879)------------------------------
% 22.08/3.76  % (3879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.08/3.76  % (3879)Termination reason: Unknown
% 22.08/3.76  % (3879)Termination phase: shuffling
% 22.08/3.76  
% 22.08/3.76  % (3879)Memory used [KB]: 26353
% 22.08/3.76  % (3879)Time elapsed: 0.297 s
% 22.08/3.76  % (3879)Instructions burned: 794 (million)
% 22.08/3.76  % (3879)------------------------------
% 22.08/3.76  % (3879)------------------------------
% 22.08/3.76  % (3878)Instruction limit reached!
% 22.08/3.76  % (3878)------------------------------
% 22.08/3.76  % (3878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.08/3.76  % (3878)Termination reason: Unknown
% 22.08/3.76  % (3878)Termination phase: shuffling
% 22.08/3.76  
% 22.08/3.76  % (3878)Memory used [KB]: 26225
% 22.08/3.76  % (3878)Time elapsed: 0.386 s
% 22.08/3.76  % (3878)Instructions burned: 771 (million)
% 22.08/3.76  % (3878)------------------------------
% 22.08/3.76  % (3878)------------------------------
% 22.58/3.77  % (3881)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2966ds/1376Mi)
% 22.58/3.78  % (3882)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2966ds/906Mi)
% 23.39/3.99  % (3880)Instruction limit reached!
% 23.39/3.99  % (3880)------------------------------
% 23.39/3.99  % (3880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.39/3.99  % (3880)Termination reason: Unknown
% 23.39/3.99  % (3880)Termination phase: shuffling
% 23.39/3.99  
% 23.39/3.99  % (3880)Memory used [KB]: 20084
% 23.39/3.99  % (3880)Time elapsed: 0.247 s
% 23.39/3.99  % (3880)Instructions burned: 464 (million)
% 23.39/3.99  % (3880)------------------------------
% 23.39/3.99  % (3880)------------------------------
% 23.39/4.02  % (3883)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2963ds/434Mi)
% 24.13/4.09  % (3872)Instruction limit reached!
% 24.13/4.09  % (3872)------------------------------
% 24.13/4.09  % (3872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.13/4.09  % (3872)Termination reason: Unknown
% 24.13/4.09  % (3872)Termination phase: Preprocessing 3
% 24.13/4.09  
% 24.13/4.09  % (3872)Memory used [KB]: 34668
% 24.13/4.09  % (3872)Time elapsed: 0.890 s
% 24.13/4.09  % (3872)Instructions burned: 1827 (million)
% 24.13/4.09  % (3872)------------------------------
% 24.13/4.09  % (3872)------------------------------
% 24.49/4.12  % (3884)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2962ds/865Mi)
% 24.76/4.20  % (3882)Instruction limit reached!
% 24.76/4.20  % (3882)------------------------------
% 24.76/4.20  % (3882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.76/4.20  % (3882)Termination reason: Unknown
% 24.76/4.20  % (3882)Termination phase: Property scanning
% 24.76/4.20  
% 24.76/4.20  % (3882)Memory used [KB]: 26481
% 24.76/4.20  % (3882)Time elapsed: 0.414 s
% 24.76/4.20  % (3882)Instructions burned: 908 (million)
% 24.76/4.20  % (3882)------------------------------
% 24.76/4.20  % (3882)------------------------------
% 24.76/4.22  % (3885)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2961ds/593Mi)
% 24.76/4.26  % (3883)Instruction limit reached!
% 24.76/4.26  % (3883)------------------------------
% 24.76/4.26  % (3883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.76/4.26  % (3883)Termination reason: Unknown
% 24.76/4.26  % (3883)Termination phase: shuffling
% 24.76/4.26  
% 24.76/4.26  % (3883)Memory used [KB]: 19829
% 24.76/4.26  % (3883)Time elapsed: 0.237 s
% 24.76/4.26  % (3883)Instructions burned: 436 (million)
% 24.76/4.26  % (3883)------------------------------
% 24.76/4.26  % (3883)------------------------------
% 26.58/4.29  % (3886)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2961ds/443Mi)
% 27.10/4.35  % (3851)Instruction limit reached!
% 27.10/4.35  % (3851)------------------------------
% 27.10/4.35  % (3851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.10/4.35  % (3851)Termination reason: Unknown
% 27.10/4.35  % (3851)Termination phase: Saturation
% 27.10/4.35  
% 27.10/4.35  % (3851)Memory used [KB]: 35948
% 27.10/4.35  % (3851)Time elapsed: 2.152 s
% 27.10/4.35  % (3851)Instructions burned: 4437 (million)
% 27.10/4.35  % (3851)------------------------------
% 27.10/4.35  % (3851)------------------------------
% 27.10/4.37  % (3887)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2960ds/594Mi)
% 27.10/4.42  % (3881)Instruction limit reached!
% 27.10/4.42  % (3881)------------------------------
% 27.10/4.42  % (3881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.10/4.42  % (3881)Termination reason: Unknown
% 27.10/4.42  % (3881)Termination phase: shuffling
% 27.10/4.42  
% 27.10/4.42  % (3881)Memory used [KB]: 38378
% 27.10/4.42  % (3881)Time elapsed: 0.643 s
% 27.10/4.42  % (3881)Instructions burned: 1376 (million)
% 27.10/4.42  % (3881)------------------------------
% 27.10/4.42  % (3881)------------------------------
% 27.73/4.44  % (3884)Instruction limit reached!
% 27.73/4.44  % (3884)------------------------------
% 27.73/4.44  % (3884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.73/4.44  % (3884)Termination reason: Unknown
% 27.73/4.44  % (3884)Termination phase: shuffling
% 27.73/4.44  % (3888)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2959ds/327Mi)
% 27.73/4.44  
% 27.73/4.44  % (3884)Memory used [KB]: 27632
% 27.73/4.44  % (3884)Time elapsed: 0.317 s
% 27.73/4.44  % (3884)Instructions burned: 866 (million)
% 27.73/4.44  % (3884)------------------------------
% 27.73/4.44  % (3884)------------------------------
% 27.73/4.44  % (3886)Instruction limit reached!
% 27.73/4.44  % (3886)------------------------------
% 27.73/4.44  % (3886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.73/4.44  % (3886)Termination reason: Unknown
% 27.73/4.45  % (3886)Termination phase: shuffling
% 27.73/4.45  
% 27.73/4.45  % (3886)Memory used [KB]: 19701
% 27.73/4.45  % (3886)Time elapsed: 0.161 s
% 27.73/4.45  % (3886)Instructions burned: 445 (million)
% 27.73/4.45  % (3886)------------------------------
% 27.73/4.45  % (3886)------------------------------
% 27.73/4.46  % (3890)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2959ds/1762Mi)
% 27.73/4.46  % (3889)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2959ds/5411Mi)
% 27.99/4.50  % (3854)Instruction limit reached!
% 27.99/4.50  % (3854)------------------------------
% 27.99/4.50  % (3854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.99/4.50  % (3854)Termination reason: Unknown
% 27.99/4.50  % (3854)Termination phase: Property scanning
% 27.99/4.50  
% 27.99/4.50  % (3854)Memory used [KB]: 59871
% 27.99/4.50  % (3854)Time elapsed: 2.187 s
% 27.99/4.50  % (3854)Instructions burned: 5205 (million)
% 27.99/4.50  % (3854)------------------------------
% 27.99/4.50  % (3854)------------------------------
% 27.99/4.50  % (3885)Instruction limit reached!
% 27.99/4.50  % (3885)------------------------------
% 27.99/4.50  % (3885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.99/4.50  % (3885)Termination reason: Unknown
% 27.99/4.50  % (3885)Termination phase: shuffling
% 27.99/4.50  
% 27.99/4.50  % (3885)Memory used [KB]: 23922
% 27.99/4.50  % (3885)Time elapsed: 0.289 s
% 27.99/4.50  % (3885)Instructions burned: 594 (million)
% 27.99/4.50  % (3885)------------------------------
% 27.99/4.50  % (3885)------------------------------
% 27.99/4.52  % (3891)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2958ds/96Mi)
% 27.99/4.52  % (3892)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2958ds/503Mi)
% 28.24/4.58  % (3891)Instruction limit reached!
% 28.24/4.58  % (3891)------------------------------
% 28.24/4.58  % (3891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.24/4.58  % (3891)Termination reason: Unknown
% 28.24/4.58  % (3891)Termination phase: shuffling
% 28.24/4.58  
% 28.24/4.58  % (3891)Memory used [KB]: 14967
% 28.24/4.58  % (3891)Time elapsed: 0.057 s
% 28.24/4.58  % (3891)Instructions burned: 98 (million)
% 28.24/4.58  % (3891)------------------------------
% 28.24/4.58  % (3891)------------------------------
% 28.24/4.59  % (3893)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2957ds/90Mi)
% 28.41/4.61  % (3888)Instruction limit reached!
% 28.41/4.61  % (3888)------------------------------
% 28.41/4.61  % (3888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.41/4.61  % (3888)Termination reason: Unknown
% 28.41/4.61  % (3888)Termination phase: shuffling
% 28.41/4.61  
% 28.41/4.61  % (3888)Memory used [KB]: 18293
% 28.41/4.61  % (3888)Time elapsed: 0.177 s
% 28.41/4.61  % (3888)Instructions burned: 328 (million)
% 28.41/4.61  % (3888)------------------------------
% 28.41/4.61  % (3888)------------------------------
% 28.41/4.63  % (3894)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2957ds/593Mi)
% 28.66/4.65  % (3893)Instruction limit reached!
% 28.66/4.65  % (3893)------------------------------
% 28.66/4.65  % (3893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.66/4.65  % (3893)Termination reason: Unknown
% 28.66/4.65  % (3893)Termination phase: shuffling
% 28.66/4.65  
% 28.66/4.65  % (3893)Memory used [KB]: 14967
% 28.66/4.65  % (3893)Time elapsed: 0.059 s
% 28.66/4.65  % (3893)Instructions burned: 91 (million)
% 28.66/4.65  % (3893)------------------------------
% 28.66/4.65  % (3893)------------------------------
% 28.66/4.67  % (3895)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2957ds/1512Mi)
% 28.66/4.67  % (3887)Instruction limit reached!
% 28.66/4.67  % (3887)------------------------------
% 28.66/4.67  % (3887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.66/4.67  % (3887)Termination reason: Unknown
% 28.66/4.67  % (3887)Termination phase: shuffling
% 28.66/4.67  
% 28.66/4.67  % (3887)Memory used [KB]: 21748
% 28.66/4.67  % (3887)Time elapsed: 0.304 s
% 28.66/4.67  % (3887)Instructions burned: 594 (million)
% 28.66/4.67  % (3887)------------------------------
% 28.66/4.67  % (3887)------------------------------
% 28.66/4.69  % (3896)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2956ds/569Mi)
% 29.32/4.80  % (3892)Instruction limit reached!
% 29.32/4.80  % (3892)------------------------------
% 29.32/4.80  % (3892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.32/4.80  % (3892)Termination reason: Unknown
% 29.32/4.80  % (3892)Termination phase: shuffling
% 29.32/4.80  
% 29.32/4.80  % (3892)Memory used [KB]: 20468
% 29.32/4.80  % (3892)Time elapsed: 0.266 s
% 29.32/4.80  % (3892)Instructions burned: 504 (million)
% 29.32/4.80  % (3892)------------------------------
% 29.32/4.80  % (3892)------------------------------
% 29.32/4.82  % (3897)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2955ds/501Mi)
% 31.80/4.95  % (3894)Instruction limit reached!
% 31.80/4.95  % (3894)------------------------------
% 31.80/4.95  % (3894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.80/4.95  % (3894)Termination reason: Unknown
% 31.80/4.95  % (3894)Termination phase: shuffling
% 31.80/4.95  
% 31.80/4.95  % (3894)Memory used [KB]: 21748
% 31.80/4.95  % (3894)Time elapsed: 0.321 s
% 31.80/4.95  % (3894)Instructions burned: 594 (million)
% 31.80/4.95  % (3894)------------------------------
% 31.80/4.95  % (3894)------------------------------
% 31.80/4.96  % (3896)Instruction limit reached!
% 31.80/4.96  % (3896)------------------------------
% 31.80/4.96  % (3896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.80/4.96  % (3896)Termination reason: Unknown
% 31.80/4.96  % (3896)Termination phase: shuffling
% 31.80/4.96  
% 31.80/4.96  % (3896)Memory used [KB]: 23666
% 31.80/4.96  % (3896)Time elapsed: 0.267 s
% 31.80/4.96  % (3896)Instructions burned: 570 (million)
% 31.80/4.96  % (3896)------------------------------
% 31.80/4.96  % (3896)------------------------------
% 31.80/4.97  % (3898)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2954ds/562Mi)
% 31.80/4.98  % (3899)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2954ds/406Mi)
% 31.80/5.00  % (3890)Instruction limit reached!
% 31.80/5.00  % (3890)------------------------------
% 31.80/5.00  % (3890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.80/5.00  % (3890)Termination reason: Unknown
% 31.80/5.00  % (3890)Termination phase: Property scanning
% 31.80/5.00  
% 31.80/5.00  % (3890)Memory used [KB]: 41577
% 31.80/5.00  % (3890)Time elapsed: 0.525 s
% 31.80/5.00  % (3890)Instructions burned: 1762 (million)
% 31.80/5.00  % (3890)------------------------------
% 31.80/5.00  % (3890)------------------------------
% 32.27/5.01  % (3900)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2953ds/582Mi)
% 32.54/5.10  % (3897)Instruction limit reached!
% 32.54/5.10  % (3897)------------------------------
% 32.54/5.10  % (3897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.54/5.10  % (3897)Termination reason: Unknown
% 32.54/5.10  % (3897)Termination phase: shuffling
% 32.54/5.10  
% 32.54/5.10  % (3897)Memory used [KB]: 20596
% 32.54/5.10  % (3897)Time elapsed: 0.254 s
% 32.54/5.10  % (3897)Instructions burned: 501 (million)
% 32.54/5.10  % (3897)------------------------------
% 32.54/5.10  % (3897)------------------------------
% 32.54/5.12  % (3901)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2952ds/456Mi)
% 33.05/5.20  % (3899)Instruction limit reached!
% 33.05/5.20  % (3899)------------------------------
% 33.05/5.20  % (3899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.05/5.20  % (3899)Termination reason: Unknown
% 33.05/5.20  % (3899)Termination phase: shuffling
% 33.05/5.20  
% 33.05/5.20  % (3899)Memory used [KB]: 19189
% 33.05/5.20  % (3899)Time elapsed: 0.218 s
% 33.05/5.20  % (3899)Instructions burned: 407 (million)
% 33.05/5.20  % (3899)------------------------------
% 33.05/5.20  % (3899)------------------------------
% 33.05/5.21  % (3902)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2951ds/393Mi)
% 33.46/5.23  % (3898)Instruction limit reached!
% 33.46/5.23  % (3898)------------------------------
% 33.46/5.23  % (3898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.46/5.23  % (3898)Termination reason: Unknown
% 33.46/5.23  % (3898)Termination phase: shuffling
% 33.46/5.23  
% 33.46/5.23  % (3898)Memory used [KB]: 23539
% 33.46/5.23  % (3898)Time elapsed: 0.262 s
% 33.46/5.23  % (3898)Instructions burned: 563 (million)
% 33.46/5.23  % (3898)------------------------------
% 33.46/5.23  % (3898)------------------------------
% 33.79/5.26  % (3903)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2951ds/1335Mi)
% 33.79/5.27  % (3876)Instruction limit reached!
% 33.79/5.27  % (3876)------------------------------
% 33.79/5.27  % (3876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.79/5.27  % (3876)Termination reason: Unknown
% 33.79/5.27  % (3876)Termination phase: Property scanning
% 33.79/5.27  
% 33.79/5.27  % (3876)Memory used [KB]: 59487
% 33.79/5.27  % (3876)Time elapsed: 1.996 s
% 33.79/5.27  % (3876)Instructions burned: 4716 (million)
% 33.79/5.27  % (3876)------------------------------
% 33.79/5.27  % (3876)------------------------------
% 33.79/5.29  % (3904)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2950ds/3373Mi)
% 33.79/5.30  % (3900)Instruction limit reached!
% 33.79/5.30  % (3900)------------------------------
% 33.79/5.30  % (3900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.79/5.30  % (3900)Termination reason: Unknown
% 33.79/5.30  % (3900)Termination phase: shuffling
% 33.79/5.30  
% 33.79/5.30  % (3900)Memory used [KB]: 22003
% 33.79/5.30  % (3900)Time elapsed: 0.222 s
% 33.79/5.30  % (3900)Instructions burned: 584 (million)
% 33.79/5.30  % (3900)------------------------------
% 33.79/5.30  % (3900)------------------------------
% 34.28/5.32  % (3905)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2950ds/474Mi)
% 35.00/5.41  % (3902)Instruction limit reached!
% 35.00/5.41  % (3902)------------------------------
% 35.00/5.41  % (3902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.00/5.41  % (3902)Termination reason: Unknown
% 35.00/5.41  % (3902)Termination phase: shuffling
% 35.00/5.41  
% 35.00/5.41  % (3902)Memory used [KB]: 21108
% 35.00/5.41  % (3902)Time elapsed: 0.194 s
% 35.00/5.41  % (3902)Instructions burned: 394 (million)
% 35.00/5.41  % (3902)------------------------------
% 35.00/5.41  % (3902)------------------------------
% 35.00/5.41  % (3901)Instruction limit reached!
% 35.00/5.41  % (3901)------------------------------
% 35.00/5.41  % (3901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.00/5.41  % (3901)Termination reason: Unknown
% 35.00/5.41  % (3901)Termination phase: shuffling
% 35.00/5.41  
% 35.00/5.41  % (3901)Memory used [KB]: 19829
% 35.00/5.41  % (3901)Time elapsed: 0.234 s
% 35.00/5.41  % (3901)Instructions burned: 457 (million)
% 35.00/5.41  % (3901)------------------------------
% 35.00/5.41  % (3901)------------------------------
% 35.00/5.42  % (3895)Instruction limit reached!
% 35.00/5.42  % (3895)------------------------------
% 35.00/5.42  % (3895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.00/5.42  % (3895)Termination reason: Unknown
% 35.00/5.42  % (3895)Termination phase: Property scanning
% 35.00/5.42  
% 35.00/5.42  % (3895)Memory used [KB]: 29167
% 35.00/5.42  % (3895)Time elapsed: 0.750 s
% 35.00/5.42  % (3895)Instructions burned: 1512 (million)
% 35.00/5.42  % (3895)------------------------------
% 35.00/5.42  % (3895)------------------------------
% 35.00/5.42  % (3906)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2949ds/157Mi)
% 35.00/5.43  % (3907)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2949ds/590Mi)
% 35.00/5.43  % (3908)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2949ds/104Mi)
% 35.56/5.50  % (3908)Instruction limit reached!
% 35.56/5.50  % (3908)------------------------------
% 35.56/5.50  % (3908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.56/5.50  % (3908)Termination reason: Unknown
% 35.56/5.50  % (3908)Termination phase: shuffling
% 35.56/5.50  
% 35.56/5.50  % (3908)Memory used [KB]: 15095
% 35.56/5.50  % (3908)Time elapsed: 0.065 s
% 35.56/5.50  % (3908)Instructions burned: 104 (million)
% 35.56/5.50  % (3908)------------------------------
% 35.56/5.50  % (3908)------------------------------
% 35.80/5.50  % (3906)Instruction limit reached!
% 35.80/5.50  % (3906)------------------------------
% 35.80/5.50  % (3906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.80/5.50  % (3906)Termination reason: Unknown
% 35.80/5.50  % (3906)Termination phase: shuffling
% 35.80/5.50  
% 35.80/5.50  % (3906)Memory used [KB]: 15607
% 35.80/5.50  % (3906)Time elapsed: 0.082 s
% 35.80/5.50  % (3906)Instructions burned: 158 (million)
% 35.80/5.50  % (3906)------------------------------
% 35.80/5.50  % (3906)------------------------------
% 35.80/5.51  % (3909)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2948ds/414Mi)
% 35.80/5.52  % (3910)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2948ds/715Mi)
% 36.03/5.58  % (3905)Instruction limit reached!
% 36.03/5.58  % (3905)------------------------------
% 36.03/5.58  % (3905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.03/5.58  % (3905)Termination reason: Unknown
% 36.03/5.58  % (3905)Termination phase: shuffling
% 36.03/5.58  
% 36.03/5.58  % (3905)Memory used [KB]: 22259
% 36.03/5.58  % (3905)Time elapsed: 0.215 s
% 36.03/5.58  % (3905)Instructions burned: 475 (million)
% 36.03/5.58  % (3905)------------------------------
% 36.03/5.58  % (3905)------------------------------
% 36.03/5.60  % (3911)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2948ds/961Mi)
% 36.74/5.71  % (3877)First to succeed.
% 36.74/5.72  % (3909)Instruction limit reached!
% 36.74/5.72  % (3909)------------------------------
% 36.74/5.72  % (3909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.74/5.72  % (3909)Termination reason: Unknown
% 36.74/5.72  % (3909)Termination phase: shuffling
% 36.74/5.72  
% 36.74/5.72  % (3909)Memory used [KB]: 21364
% 36.74/5.72  % (3909)Time elapsed: 0.204 s
% 36.74/5.72  % (3909)Instructions burned: 415 (million)
% 36.74/5.72  % (3909)------------------------------
% 36.74/5.72  % (3909)------------------------------
% 36.74/5.73  % (3907)Instruction limit reached!
% 36.74/5.73  % (3907)------------------------------
% 36.74/5.73  % (3907)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.74/5.73  % (3907)Termination reason: Unknown
% 36.74/5.73  % (3907)Termination phase: shuffling
% 36.74/5.73  
% 36.74/5.73  % (3907)Memory used [KB]: 21492
% 36.74/5.73  % (3907)Time elapsed: 0.297 s
% 36.74/5.73  % (3907)Instructions burned: 590 (million)
% 36.74/5.73  % (3907)------------------------------
% 36.74/5.73  % (3907)------------------------------
% 36.74/5.73  % (3877)Refutation found. Thanks to Tanya!
% 36.74/5.73  % SZS status Theorem for theBenchmark
% 36.74/5.73  % SZS output start Proof for theBenchmark
% See solution above
% 36.74/5.74  % (3877)------------------------------
% 36.74/5.74  % (3877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.74/5.74  % (3877)Termination reason: Refutation
% 36.74/5.74  
% 36.74/5.74  % (3877)Memory used [KB]: 54242
% 36.74/5.74  % (3877)Time elapsed: 2.396 s
% 36.74/5.74  % (3877)Instructions burned: 4967 (million)
% 36.74/5.74  % (3877)------------------------------
% 36.74/5.74  % (3877)------------------------------
% 36.74/5.74  % (3754)Success in time 5.37 s
% 36.74/5.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------