TSTP Solution File: ITP225^3 by Vampire---4.8

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP225^3 : 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 : n013.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 22:36:06 EDT 2024

% Result   : Theorem 19.15s 3.53s
% Output   : Refutation 19.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      : 1339
% Syntax   : Number of formulae    : 1361 (  21 unt;1334 typ;   0 def)
%            Number of atoms       :   71 (  33 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  16   ~;   6   |;   1   &;  55   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :   72 (  71 usr)
%            Number of type conns  : 3255 (3255   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1195 (1192 usr;  69 con; 0-8 aty)
%            Number of variables   :   17 (   6   ^  10   !;   0   ?;  17   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(type_def_9,type,
    set_Pr1261947904930325089at_nat: $tType ).

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

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

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

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

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

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

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

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

thf(type_def_18,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_19,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_20,type,
    set_int: $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,
    filter_real: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_37,type,
    set_Pr8693737435421807431at_nat: $tType ).

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

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

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

thf(type_def_41,type,
    set_Pr958786334691620121nt_int: $tType ).

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

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

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

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

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

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

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

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

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

thf(type_def_51,type,
    list_P4002435161011370285od_o_o: $tType ).

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

thf(type_def_53,type,
    list_P3795440434834930179_o_int: $tType ).

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

thf(type_def_55,type,
    list_P6285523579766656935_o_nat: $tType ).

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

thf(type_def_57,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_58,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(type_def_59,type,
    list_P8526636022914148096eger_o: $tType ).

thf(type_def_60,type,
    list_P5578671422887162913nteger: $tType ).

thf(type_def_61,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_62,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_63,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_64,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_65,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_66,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_67,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_68,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_69,type,
    option4927543243414619207at_nat: $tType ).

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

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

thf(type_def_72,type,
    produc7822875418678951345atural: $tType ).

thf(type_def_73,type,
    produc5835291356934675326atural: $tType ).

thf(type_def_74,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_75,type,
    produc7272778201969148633d_enat: $tType ).

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

thf(func_def_0,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(func_def_1,type,
    produc5835291356934675326atural: $tType ).

thf(func_def_2,type,
    produc859450856879609959at_nat: $tType ).

thf(func_def_3,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(func_def_4,type,
    list_P5578671422887162913nteger: $tType ).

thf(func_def_5,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(func_def_6,type,
    list_P4547456442757143711BT_int: $tType ).

thf(func_def_7,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(func_def_8,type,
    produc7822875418678951345atural: $tType ).

thf(func_def_9,type,
    produc8923325533196201883nteger: $tType ).

thf(func_def_10,type,
    produc7272778201969148633d_enat: $tType ).

thf(func_def_11,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(func_def_12,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(func_def_13,type,
    list_P8526636022914148096eger_o: $tType ).

thf(func_def_14,type,
    option4927543243414619207at_nat: $tType ).

thf(func_def_15,type,
    produc9072475918466114483BT_nat: $tType ).

thf(func_def_16,type,
    produc4894624898956917775BT_int: $tType ).

thf(func_def_17,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(func_def_18,type,
    set_Pr958786334691620121nt_int: $tType ).

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

thf(func_def_20,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(func_def_21,type,
    list_P3795440434834930179_o_int: $tType ).

thf(func_def_22,type,
    produc334124729049499915VEBT_o: $tType ).

thf(func_def_23,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(func_def_24,type,
    produc6271795597528267376eger_o: $tType ).

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

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

thf(func_def_27,type,
    list_P4002435161011370285od_o_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_71,type,
    archim2889992004027027881ng_rat: rat > int ).

thf(func_def_72,type,
    archim7802044766580827645g_real: real > int ).

thf(func_def_73,type,
    archim3151403230148437115or_rat: rat > int ).

thf(func_def_74,type,
    archim6058952711729229775r_real: real > int ).

thf(func_def_75,type,
    archimedean_frac_rat: rat > rat ).

thf(func_def_76,type,
    archim2898591450579166408c_real: real > real ).

thf(func_def_77,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(func_def_78,type,
    archim8280529875227126926d_real: real > int ).

thf(func_def_79,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_80,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

thf(func_def_81,type,
    bNF_re1962705104956426057at_rat: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( ( nat > rat ) > nat > rat ) > ( ( nat > rat ) > nat > rat ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > $o ).

thf(func_def_82,type,
    bNF_re895249473297799549at_rat: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > nat > rat ) > ( ( nat > rat ) > nat > rat ) > $o ).

thf(func_def_83,type,
    bNF_re728719798268516973at_o_o: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( ( nat > rat ) > $o ) > $o ).

thf(func_def_84,type,
    bNF_re4695409256820837752l_real: ( ( nat > rat ) > real > $o ) > ( ( ( nat > rat ) > nat > rat ) > ( real > real ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > ( real > real > real ) > $o ).

thf(func_def_85,type,
    bNF_re4521903465945308077real_o: ( ( nat > rat ) > real > $o ) > ( ( ( nat > rat ) > $o ) > ( real > $o ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > $o ) > ( real > real > $o ) > $o ).

thf(func_def_86,type,
    bNF_re3023117138289059399t_real: ( ( nat > rat ) > real > $o ) > ( ( nat > rat ) > real > $o ) > ( ( nat > rat ) > nat > rat ) > ( real > real ) > $o ).

thf(func_def_87,type,
    bNF_re4297313714947099218al_o_o: ( ( nat > rat ) > real > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( real > $o ) > $o ).

thf(func_def_88,type,
    bNF_re6321650412969554871eger_o: ( int > code_integer > $o ) > ( ( int > $o ) > ( code_integer > $o ) > $o ) > ( int > int > $o ) > ( code_integer > code_integer > $o ) > $o ).

thf(func_def_89,type,
    bNF_re398004352372739002nteger: ( int > code_integer > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( int > int > int ) > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_90,type,
    bNF_re6574881592172037608er_o_o: ( int > code_integer > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( code_integer > $o ) > $o ).

thf(func_def_91,type,
    bNF_re3379532845092657523nteger: ( int > code_integer > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).

thf(func_def_92,type,
    bNF_re1831474436612530402atural: ( int > code_integer > $o ) > ( nat > code_natural > $o ) > ( int > nat ) > ( code_integer > code_natural ) > $o ).

thf(func_def_93,type,
    bNF_re2807294637932363402at_nat: ( int > code_integer > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( code_integer > nat ) > $o ).

thf(func_def_94,type,
    bNF_re6718328864250387230um_num: ( int > code_integer > $o ) > ( num > num > $o ) > ( int > num ) > ( code_integer > num ) > $o ).

thf(func_def_95,type,
    bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_96,type,
    bNF_re711492959462206631nt_int: ( int > int > $o ) > ( ( int > int ) > ( int > int ) > $o ) > ( int > int > int ) > ( int > int > int ) > $o ).

thf(func_def_97,type,
    bNF_re157797125943740599nt_int: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > $o ).

thf(func_def_98,type,
    bNF_re3461391660133120880nt_rat: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > rat ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > rat ) > $o ).

thf(func_def_99,type,
    bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_100,type,
    bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).

thf(func_def_101,type,
    bNF_re3715656647883201625at_nat: ( int > int > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( int > nat ) > $o ).

thf(func_def_102,type,
    bNF_re7626690874201225453um_num: ( int > int > $o ) > ( num > num > $o ) > ( int > num ) > ( int > num ) > $o ).

thf(func_def_103,type,
    bNF_re6250860962936578807nt_int: ( int > int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ).

thf(func_def_104,type,
    bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).

thf(func_def_105,type,
    bNF_re1639080489988575423ural_o: ( nat > code_natural > $o ) > ( ( nat > $o ) > ( code_natural > $o ) > $o ) > ( nat > nat > $o ) > ( code_natural > code_natural > $o ) > $o ).

thf(func_def_106,type,
    bNF_re88643428490162567atural: ( nat > code_natural > $o ) > ( ( nat > nat ) > ( code_natural > code_natural ) > $o ) > ( nat > nat > nat ) > ( code_natural > code_natural > code_natural ) > $o ).

thf(func_def_107,type,
    bNF_re2785088596696291543al_o_o: ( nat > code_natural > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( code_natural > $o ) > $o ).

thf(func_def_108,type,
    bNF_re5252274238750452962nteger: ( nat > code_natural > $o ) > ( int > code_integer > $o ) > ( nat > int ) > ( code_natural > code_integer ) > $o ).

thf(func_def_109,type,
    bNF_re3704215830270325841atural: ( nat > code_natural > $o ) > ( nat > code_natural > $o ) > ( nat > nat ) > ( code_natural > code_natural ) > $o ).

thf(func_def_110,type,
    bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_111,type,
    bNF_re1345281282404953727at_nat: ( nat > nat > $o ) > ( ( nat > nat ) > ( nat > nat ) > $o ) > ( nat > nat > nat ) > ( nat > nat > nat ) > $o ).

thf(func_def_112,type,
    bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_113,type,
    bNF_re4153400068438556298nteger: ( nat > nat > $o ) > ( int > code_integer > $o ) > ( nat > int ) > ( nat > code_integer ) > $o ).

thf(func_def_114,type,
    bNF_re6650684261131312217nt_int: ( nat > nat > $o ) > ( int > int > $o ) > ( nat > int ) > ( nat > int ) > $o ).

thf(func_def_115,type,
    bNF_re5653821019739307937at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).

thf(func_def_116,type,
    bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).

thf(func_def_117,type,
    bNF_re7876454716742015248nteger: ( num > num > $o ) > ( ( num > int ) > ( num > code_integer ) > $o ) > ( num > num > int ) > ( num > num > code_integer ) > $o ).

thf(func_def_118,type,
    bNF_re8402795839162346335um_int: ( num > num > $o ) > ( ( num > int ) > ( num > int ) > $o ) > ( num > num > int ) > ( num > num > int ) > $o ).

thf(func_def_119,type,
    bNF_re6501075790457514782nteger: ( num > num > $o ) > ( int > code_integer > $o ) > ( num > int ) > ( num > code_integer ) > $o ).

thf(func_def_120,type,
    bNF_re1822329894187522285nt_int: ( num > num > $o ) > ( int > int > $o ) > ( num > int ) > ( num > int ) > $o ).

thf(func_def_121,type,
    bNF_re5228765855967844073nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > $o ).

thf(func_def_122,type,
    bNF_re8699439704749558557nt_o_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_123,type,
    bNF_re7145576690424134365nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ).

thf(func_def_124,type,
    bNF_re7627151682743391978at_rat: ( product_prod_int_int > rat > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( rat > rat > rat ) > $o ).

thf(func_def_125,type,
    bNF_re1494630372529172596at_o_o: ( product_prod_int_int > rat > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( rat > $o ) > $o ).

thf(func_def_126,type,
    bNF_re8279943556446156061nt_rat: ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ).

thf(func_def_127,type,
    bNF_re717283939379294677_int_o: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > $o ).

thf(func_def_128,type,
    bNF_re7408651293131936558nt_int: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > $o ).

thf(func_def_129,type,
    bNF_re6644619430987730960nt_o_o: ( product_prod_nat_nat > int > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).

thf(func_def_130,type,
    bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).

thf(func_def_131,type,
    bNF_re7400052026677387805at_int: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).

thf(func_def_132,type,
    bNF_re4202695980764964119_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(func_def_133,type,
    bNF_re3099431351363272937at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > $o ).

thf(func_def_134,type,
    bNF_re3666534408544137501at_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_135,type,
    bNF_re8246922863344978751at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ).

thf(func_def_136,type,
    bNF_re2241393799969408733at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ).

thf(func_def_137,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_138,type,
    binomial: nat > nat > nat ).

thf(func_def_139,type,
    gbinom8545251970709558553nteger: code_integer > nat > code_integer ).

thf(func_def_140,type,
    gbinomial_complex: complex > nat > complex ).

thf(func_def_141,type,
    gbinomial_int: int > nat > int ).

thf(func_def_142,type,
    gbinomial_nat: nat > nat > nat ).

thf(func_def_143,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_144,type,
    gbinomial_real: real > nat > real ).

thf(func_def_145,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_146,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_147,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_148,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_149,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

thf(func_def_150,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_151,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_152,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_153,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_154,type,
    bit_se2773287842338716102atural: code_natural > code_natural > code_natural ).

thf(func_def_155,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_156,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_157,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_158,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_159,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_160,type,
    bit_se168947363167071951atural: nat > code_natural > code_natural ).

thf(func_def_161,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_162,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_163,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_164,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_165,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_166,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_167,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_168,type,
    bit_se7788150548672797655nteger: nat > code_integer > code_integer ).

thf(func_def_169,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_170,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_171,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_172,type,
    bit_se1617098188084679374atural: nat > code_natural > code_natural ).

thf(func_def_173,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_174,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_175,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_176,type,
    bit_se569199155075624693atural: nat > code_natural > code_natural ).

thf(func_def_177,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_178,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_179,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_180,type,
    bit_se7083795435491715335atural: nat > code_natural > code_natural ).

thf(func_def_181,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_182,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_183,type,
    bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).

thf(func_def_184,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_185,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_186,type,
    bit_se9216721137139052372nteger: code_integer > nat > $o ).

thf(func_def_187,type,
    bit_se8040316288895769887atural: code_natural > nat > $o ).

thf(func_def_188,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_189,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_190,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_191,type,
    code_Nat: code_integer > code_natural ).

thf(func_def_192,type,
    code_Suc: code_natural > code_natural ).

thf(func_def_193,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_194,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_195,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_196,type,
    code_dup: code_integer > code_integer ).

thf(func_def_197,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_198,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_199,type,
    code_integer_of_nat: nat > code_integer ).

thf(func_def_200,type,
    code_i5400310926305786745atural: code_natural > code_integer ).

thf(func_def_201,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_202,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_203,type,
    code_nat_of_natural: code_natural > nat ).

thf(func_def_204,type,
    code_natural_of_nat: nat > code_natural ).

thf(func_def_205,type,
    code_n4118661773612635043nteger: code_integer > code_natural ).

thf(func_def_206,type,
    code_negative: num > code_integer ).

thf(func_def_207,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_208,type,
    code_pcr_integer: int > code_integer > $o ).

thf(func_def_209,type,
    code_pcr_natural: nat > code_natural > $o ).

thf(func_def_210,type,
    code_sub: num > num > code_integer ).

thf(func_def_211,type,
    code_Target_negative: num > int ).

thf(func_def_212,type,
    code_Target_Nat: code_integer > nat ).

thf(func_def_213,type,
    code_T6385005292777649522of_nat: nat > int ).

thf(func_def_214,type,
    complete_Inf_Inf_int: set_int > int ).

thf(func_def_215,type,
    comple4887499456419720421f_real: set_real > real ).

thf(func_def_216,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

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

thf(func_def_218,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_219,type,
    comple1385675409528146559p_real: set_real > real ).

thf(func_def_220,type,
    arg: complex > real ).

thf(func_def_221,type,
    cis: real > complex ).

thf(func_def_222,type,
    cnj: complex > complex ).

thf(func_def_223,type,
    complex2: real > real > complex ).

thf(func_def_224,type,
    im: complex > real ).

thf(func_def_225,type,
    re: complex > real ).

thf(func_def_226,type,
    csqrt: complex > complex ).

thf(func_def_227,type,
    imaginary_unit: complex ).

thf(func_def_228,type,
    rcis: real > real > complex ).

thf(func_def_229,type,
    nth_item_rel: nat > nat > $o ).

thf(func_def_230,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_231,type,
    has_ve631408500373753343e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_232,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_233,type,
    adjust_mod: int > int > int ).

thf(func_def_234,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_235,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_236,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_237,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_238,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_239,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_240,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_241,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_242,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_243,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_244,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_245,type,
    euclid4774559944035922753ze_int: int > nat ).

thf(func_def_246,type,
    euclid3395696857347342551nt_int: int > int ).

thf(func_def_247,type,
    euclid3398187327856392827nt_nat: nat > nat ).

thf(func_def_248,type,
    extended_eSuc: extended_enat > extended_enat ).

thf(func_def_249,type,
    extended_enat2: nat > extended_enat ).

thf(func_def_250,type,
    extended_case_enat_o: ( nat > $o ) > $o > extended_enat > $o ).

thf(func_def_251,type,
    extend3600170679010898289d_enat: ( nat > extended_enat ) > extended_enat > extended_enat > extended_enat ).

thf(func_def_252,type,
    extend5688581933313929465d_enat: extended_enat ).

thf(func_def_253,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_254,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(func_def_255,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_256,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_257,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_258,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(func_def_259,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_260,type,
    semiri2447717529341329178atural: nat > code_natural ).

thf(func_def_261,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_262,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_263,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_264,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_265,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_266,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_267,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_268,type,
    inverse_inverse_real: real > real ).

thf(func_def_269,type,
    at_bot_real: filter_real ).

thf(func_def_270,type,
    at_top_int: filter_int ).

thf(func_def_271,type,
    at_top_nat: filter_nat ).

thf(func_def_272,type,
    at_top_real: filter_real ).

thf(func_def_273,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_274,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_275,type,
    filterlim_int_nat: ( int > nat ) > filter_nat > filter_int > $o ).

thf(func_def_276,type,
    filterlim_int_real: ( int > real ) > filter_real > filter_int > $o ).

thf(func_def_277,type,
    filterlim_nat_int: ( nat > int ) > filter_int > filter_nat > $o ).

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

thf(func_def_279,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_280,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_281,type,
    filtermap_real_real: ( real > real ) > filter_real > filter_real ).

thf(func_def_282,type,
    finite_card_o: set_o > nat ).

thf(func_def_283,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_284,type,
    finite_card_int: set_int > nat ).

thf(func_def_285,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_286,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_287,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_288,type,
    finite_card_real: set_real > nat ).

thf(func_def_289,type,
    finite_card_set_nat: set_set_nat > nat ).

thf(func_def_290,type,
    finite7802652506058667612T_VEBT: set_VEBT_VEBT > nat ).

thf(func_def_291,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_292,type,
    finite_finite_int: set_int > $o ).

thf(func_def_293,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_294,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_295,type,
    bij_betw_int_nat: ( int > nat ) > set_int > set_nat > $o ).

thf(func_def_296,type,
    bij_be8532844293280997160at_nat: ( list_nat > nat ) > set_list_nat > set_nat > $o ).

thf(func_def_297,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(func_def_298,type,
    bij_betw_nat_int: ( nat > int ) > set_nat > set_int > $o ).

thf(func_def_299,type,
    bij_be6293887246118711976st_nat: ( nat > list_nat ) > set_nat > set_list_nat > $o ).

thf(func_def_300,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_301,type,
    bij_be8693218025023041337at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_302,type,
    bij_be4790990086886966983at_nat: ( nat > sum_sum_nat_nat ) > set_nat > set_Sum_sum_nat_nat > $o ).

thf(func_def_303,type,
    bij_be5333170631980326235at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat > $o ).

thf(func_def_304,type,
    bij_be5432664580149595207at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > set_nat > $o ).

thf(func_def_305,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_306,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_307,type,
    comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).

thf(func_def_308,type,
    comp_int_int_num: ( int > int ) > ( num > int ) > num > int ).

thf(func_def_309,type,
    comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).

thf(func_def_310,type,
    comp_int_real_real: ( int > real ) > ( real > int ) > real > real ).

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

thf(func_def_312,type,
    comp_nat_num_int: ( nat > num ) > ( int > nat ) > int > num ).

thf(func_def_313,type,
    id_o: $o > $o ).

thf(func_def_314,type,
    id_nat: nat > nat ).

thf(func_def_315,type,
    id_num: num > num ).

thf(func_def_316,type,
    inj_on_int_nat: ( int > nat ) > set_int > $o ).

thf(func_def_317,type,
    inj_on_list_nat_nat: ( list_nat > nat ) > set_list_nat > $o ).

thf(func_def_318,type,
    inj_on_nat_int: ( nat > int ) > set_nat > $o ).

thf(func_def_319,type,
    inj_on_nat_list_nat: ( nat > list_nat ) > set_nat > $o ).

thf(func_def_320,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_321,type,
    inj_on5538052773655684606at_nat: ( nat > product_prod_nat_nat ) > set_nat > $o ).

thf(func_def_322,type,
    inj_on_nat_char: ( nat > char ) > set_nat > $o ).

thf(func_def_323,type,
    inj_on5701776251185195458at_nat: ( nat > sum_sum_nat_nat ) > set_nat > $o ).

thf(func_def_324,type,
    inj_on2178005380612969504at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_325,type,
    inj_on_real_real: ( real > real ) > set_real > $o ).

thf(func_def_326,type,
    inj_on_set_nat_nat: ( set_nat > nat ) > set_set_nat > $o ).

thf(func_def_327,type,
    inj_on6343450744447823682at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > $o ).

thf(func_def_328,type,
    map_fu8272188784021352819nteger: ( code_integer > int ) > ( ( int > int ) > code_integer > code_integer ) > ( int > int > int ) > code_integer > code_integer > code_integer ).

thf(func_def_329,type,
    map_fu2599414010547811884nteger: ( code_integer > int ) > ( int > code_integer ) > ( int > int ) > code_integer > code_integer ).

thf(func_def_330,type,
    map_fu1051355602067684763atural: ( code_integer > int ) > ( nat > code_natural ) > ( int > nat ) > code_integer > code_natural ).

thf(func_def_331,type,
    map_fu6539832666145259331at_nat: ( code_integer > int ) > ( nat > nat ) > ( int > nat ) > code_integer > nat ).

thf(func_def_332,type,
    map_fu1227494855608507351um_num: ( code_integer > int ) > ( num > num ) > ( int > num ) > code_integer > num ).

thf(func_def_333,type,
    map_fu6549440983881763648atural: ( code_natural > nat ) > ( ( nat > nat ) > code_natural > code_natural ) > ( nat > nat > nat ) > code_natural > code_natural > code_natural ).

thf(func_def_334,type,
    map_fu2787874002554666395nteger: ( code_natural > nat ) > ( int > code_integer ) > ( nat > int ) > code_natural > code_integer ).

thf(func_def_335,type,
    map_fu1239815594074539274atural: ( code_natural > nat ) > ( nat > code_natural ) > ( nat > nat ) > code_natural > code_natural ).

thf(func_def_336,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_337,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_338,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_339,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_340,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_341,type,
    map_fu6290471996055670595nteger: ( nat > nat ) > ( int > code_integer ) > ( nat > int ) > nat > code_integer ).

thf(func_def_342,type,
    map_fu6891787308814931657nteger: ( num > num ) > ( ( num > int ) > num > code_integer ) > ( num > num > int ) > num > num > code_integer ).

thf(func_def_343,type,
    map_fu8638147718074629079nteger: ( num > num ) > ( int > code_integer ) > ( num > int ) > num > code_integer ).

thf(func_def_344,type,
    map_fu4333342158222067775at_rat: ( rat > product_prod_int_int ) > ( ( product_prod_int_int > product_prod_int_int ) > rat > rat ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > rat > rat > rat ).

thf(func_def_345,type,
    map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).

thf(func_def_346,type,
    map_fu5673905371560938248nt_rat: ( rat > product_prod_int_int ) > ( product_prod_int_int > rat ) > ( product_prod_int_int > product_prod_int_int ) > rat > rat ).

thf(func_def_347,type,
    map_fu1532550112467129777l_real: ( real > nat > rat ) > ( ( ( nat > rat ) > nat > rat ) > real > real ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > real > real > real ).

thf(func_def_348,type,
    map_fu7146612038024189824t_real: ( real > nat > rat ) > ( ( nat > rat ) > real ) > ( ( nat > rat ) > nat > rat ) > real > real ).

thf(func_def_349,type,
    map_fu1856342031159181835at_o_o: ( real > nat > rat ) > ( $o > $o ) > ( ( nat > rat ) > $o ) > real > $o ).

thf(func_def_350,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_351,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

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

thf(func_def_353,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_354,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_355,type,
    gcd_Gcd_int: set_int > int ).

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

thf(func_def_357,type,
    gcd_Lcm_int: set_int > int ).

thf(func_def_358,type,
    gcd_Lcm_nat: set_nat > nat ).

thf(func_def_359,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_360,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_361,type,
    gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_362,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_363,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_364,type,
    gcd_lcm_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_365,type,
    gcd_lcm_int: int > int > int ).

thf(func_def_366,type,
    gcd_lcm_nat: nat > nat > nat ).

thf(func_def_367,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_368,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_369,type,
    abs_abs_complex: complex > complex ).

thf(func_def_370,type,
    abs_abs_int: int > int ).

thf(func_def_371,type,
    abs_abs_rat: rat > rat ).

thf(func_def_372,type,
    abs_abs_real: real > real ).

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

thf(func_def_374,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_375,type,
    minus_7197305767214868737atural: code_natural > code_natural > code_natural ).

thf(func_def_376,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_377,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

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

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

thf(func_def_380,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_381,type,
    minus_minus_real: real > real > real ).

thf(func_def_382,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_383,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_384,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_385,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_386,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_387,type,
    minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_388,type,
    monoid_nat: ( nat > nat > nat ) > nat > $o ).

thf(func_def_389,type,
    one_one_Code_integer: code_integer ).

thf(func_def_390,type,
    one_one_Code_natural: code_natural ).

thf(func_def_391,type,
    one_one_complex: complex ).

thf(func_def_392,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_393,type,
    one_one_int: int ).

thf(func_def_394,type,
    one_one_nat: nat ).

thf(func_def_395,type,
    one_one_rat: rat ).

thf(func_def_396,type,
    one_one_real: real ).

thf(func_def_397,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_398,type,
    plus_p4538020629002901425atural: code_natural > code_natural > code_natural ).

thf(func_def_399,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_400,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_401,type,
    plus_plus_int: int > int > int ).

thf(func_def_402,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_403,type,
    plus_plus_num: num > num > num ).

thf(func_def_404,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_405,type,
    plus_plus_real: real > real > real ).

thf(func_def_406,type,
    plus_plus_literal: literal > literal > literal ).

thf(func_def_407,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_408,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_409,type,
    sgn_sgn_int: int > int ).

thf(func_def_410,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_411,type,
    sgn_sgn_real: real > real ).

thf(func_def_412,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_413,type,
    times_2397367101498566445atural: code_natural > code_natural > code_natural ).

thf(func_def_414,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_415,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_416,type,
    times_times_int: int > int > int ).

thf(func_def_417,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_418,type,
    times_times_num: num > num > num ).

thf(func_def_419,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_420,type,
    times_times_real: real > real > real ).

thf(func_def_421,type,
    uminus1680532995456772888plex_o: ( complex > $o ) > complex > $o ).

thf(func_def_422,type,
    uminus_uminus_int_o: ( int > $o ) > int > $o ).

thf(func_def_423,type,
    uminus5770388063884162150_nat_o: ( list_nat > $o ) > list_nat > $o ).

thf(func_def_424,type,
    uminus_uminus_nat_o: ( nat > $o ) > nat > $o ).

thf(func_def_425,type,
    uminus_uminus_real_o: ( real > $o ) > real > $o ).

thf(func_def_426,type,
    uminus6401447641752708672_nat_o: ( set_nat > $o ) > set_nat > $o ).

thf(func_def_427,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_428,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_429,type,
    uminus_uminus_int: int > int ).

thf(func_def_430,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_431,type,
    uminus_uminus_real: real > real ).

thf(func_def_432,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

thf(func_def_433,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_434,type,
    uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).

thf(func_def_435,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_436,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_437,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

thf(func_def_438,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_439,type,
    zero_z2226904508553997617atural: code_natural ).

thf(func_def_440,type,
    zero_zero_complex: complex ).

thf(func_def_441,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_442,type,
    zero_zero_int: int ).

thf(func_def_443,type,
    zero_zero_nat: nat ).

thf(func_def_444,type,
    zero_zero_rat: rat ).

thf(func_def_445,type,
    zero_zero_real: real ).

thf(func_def_446,type,
    zero_zero_literal: literal ).

thf(func_def_447,type,
    groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_448,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_449,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_450,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_451,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_452,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_453,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_454,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_455,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_456,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_457,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_458,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_459,type,
    groups4396056296759096172at_nat: ( list_nat > nat ) > set_list_nat > nat ).

thf(func_def_460,type,
    groups8399112307953289288t_real: ( list_nat > real ) > set_list_nat > real ).

thf(func_def_461,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_462,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_463,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_464,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_465,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_466,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_467,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_468,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_469,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_470,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_471,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_472,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_473,type,
    groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_474,type,
    groups5107569545109728110t_real: ( set_nat > real ) > set_set_nat > real ).

thf(func_def_475,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_476,type,
    groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_477,type,
    groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_478,type,
    groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_479,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(func_def_480,type,
    groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_481,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(func_def_482,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_483,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_484,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_485,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(func_def_486,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_487,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_488,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_489,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_490,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_491,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(func_def_492,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(func_def_493,type,
    groups4694064378042380927al_int: ( real > int ) > set_real > int ).

thf(func_def_494,type,
    groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_495,type,
    groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_496,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(func_def_497,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_498,type,
    groups9119017779487936845_o_nat: ( $o > nat ) > nat > list_o > nat ).

thf(func_def_499,type,
    groups4561878855575611511st_nat: list_nat > nat ).

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

thf(func_def_501,type,
    the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_502,type,
    the_real: ( real > $o ) > real ).

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

thf(func_def_504,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_505,type,
    if_Code_natural: $o > code_natural > code_natural > code_natural ).

thf(func_def_506,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_507,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_508,type,
    if_int: $o > int > int > int ).

thf(func_def_509,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_510,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_511,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_512,type,
    if_num: $o > num > num > num ).

thf(func_def_513,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_514,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_515,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_516,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_517,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_518,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_519,type,
    if_real: $o > real > real > real ).

thf(func_def_520,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_521,type,
    if_Sum_sum_nat_nat: $o > sum_sum_nat_nat > sum_sum_nat_nat > sum_sum_nat_nat ).

thf(func_def_522,type,
    infini8530281810654367211te_nat: set_nat > nat > nat ).

thf(func_def_523,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_524,type,
    neg: num > int ).

thf(func_def_525,type,
    pos: num > int ).

thf(func_def_526,type,
    rep_Integ: int > product_prod_nat_nat ).

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

thf(func_def_528,type,
    dup: int > int ).

thf(func_def_529,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_530,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_531,type,
    intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_532,type,
    nat2: int > nat ).

thf(func_def_533,type,
    pcr_int: product_prod_nat_nat > int > $o ).

thf(func_def_534,type,
    power_int_complex: complex > int > complex ).

thf(func_def_535,type,
    power_int_rat: rat > int > rat ).

thf(func_def_536,type,
    power_int_real: real > int > real ).

thf(func_def_537,type,
    ring_11222124179247155820nteger: set_Code_integer ).

thf(func_def_538,type,
    ring_1_Ints_complex: set_complex ).

thf(func_def_539,type,
    ring_1_Ints_int: set_int ).

thf(func_def_540,type,
    ring_1_Ints_rat: set_rat ).

thf(func_def_541,type,
    ring_1_Ints_real: set_real ).

thf(func_def_542,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_543,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_544,type,
    ring_1_of_int_int: int > int ).

thf(func_def_545,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_546,type,
    ring_1_of_int_real: int > real ).

thf(func_def_547,type,
    sub: num > num > int ).

thf(func_def_548,type,
    inf_inf_int: int > int > int ).

thf(func_def_549,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_550,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_551,type,
    semila9081495762789891438tr_nat: ( nat > nat > nat ) > nat > $o ).

thf(func_def_552,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_553,type,
    semila1248733672344298208er_nat: ( nat > nat > nat ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_554,type,
    sup_sup_int: int > int > int ).

thf(func_def_555,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_556,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_557,type,
    sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_558,type,
    lattic8263393255366662781ax_int: set_int > int ).

thf(func_def_559,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_560,type,
    lattic7826324295020591184_F_nat: ( nat > nat > nat ) > nat > set_nat > nat ).

thf(func_def_561,type,
    quotie3684837364556693515t_real: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > real ) > ( real > nat > rat ) > ( ( nat > rat ) > real > $o ) > $o ).

thf(func_def_562,type,
    quotie1194848508323700631at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int > $o ) > $o ).

thf(func_def_563,type,
    bfun_nat_real: ( nat > real ) > filter_nat > $o ).

thf(func_def_564,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_565,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_566,type,
    count_list_complex: list_complex > complex > nat ).

thf(func_def_567,type,
    count_list_int: list_int > int > nat ).

thf(func_def_568,type,
    count_list_nat: list_nat > nat > nat ).

thf(func_def_569,type,
    count_list_real: list_real > real > nat ).

thf(func_def_570,type,
    count_list_set_nat: list_set_nat > set_nat > nat ).

thf(func_def_571,type,
    count_list_VEBT_VEBT: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_572,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_573,type,
    fold_int_int: ( int > int > int ) > list_int > int > int ).

thf(func_def_574,type,
    fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).

thf(func_def_575,type,
    last_nat: list_nat > nat ).

thf(func_def_576,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_577,type,
    cons_int: int > list_int > list_int ).

thf(func_def_578,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_579,type,
    nil_int: list_int ).

thf(func_def_580,type,
    nil_nat: list_nat ).

thf(func_def_581,type,
    hd_nat: list_nat > nat ).

thf(func_def_582,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_583,type,
    map_VE8901447254227204932T_VEBT: ( vEBT_VEBT > vEBT_VEBT ) > list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_584,type,
    set_o2: list_o > set_o ).

thf(func_def_585,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_586,type,
    set_int2: list_int > set_int ).

thf(func_def_587,type,
    set_list_nat2: list_list_nat > set_list_nat ).

thf(func_def_588,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_589,type,
    set_real2: list_real > set_real ).

thf(func_def_590,type,
    set_set_nat2: list_set_nat > set_set_nat ).

thf(func_def_591,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_592,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_593,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_594,type,
    nth_o: list_o > nat > $o ).

thf(func_def_595,type,
    nth_Code_integer: list_Code_integer > nat > code_integer ).

thf(func_def_596,type,
    nth_complex: list_complex > nat > complex ).

thf(func_def_597,type,
    nth_int: list_int > nat > int ).

thf(func_def_598,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_599,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_600,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_601,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_602,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_603,type,
    nth_Pr8522763379788166057eger_o: list_P8526636022914148096eger_o > nat > produc6271795597528267376eger_o ).

thf(func_def_604,type,
    nth_Pr2304437835452373666nteger: list_P5578671422887162913nteger > nat > produc8923325533196201883nteger ).

thf(func_def_605,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_606,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_607,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_608,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_609,type,
    nth_real: list_real > nat > real ).

thf(func_def_610,type,
    nth_set_nat: list_set_nat > nat > set_nat ).

thf(func_def_611,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_612,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_613,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_614,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_615,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_616,type,
    produc3607205314601156340eger_o: list_Code_integer > list_o > list_P8526636022914148096eger_o ).

thf(func_def_617,type,
    produc8792966785426426881nteger: list_Code_integer > list_Code_integer > list_P5578671422887162913nteger ).

thf(func_def_618,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_619,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_620,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_621,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_622,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_623,type,
    replicate_complex: nat > complex > list_complex ).

thf(func_def_624,type,
    replicate_int: nat > int > list_int ).

thf(func_def_625,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_626,type,
    replicate_real: nat > real > list_real ).

thf(func_def_627,type,
    replicate_set_nat: nat > set_nat > list_set_nat ).

thf(func_def_628,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_629,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

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

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

thf(func_def_632,type,
    take_VEBT_VEBT: nat > list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_633,type,
    upt: nat > nat > list_nat ).

thf(func_def_634,type,
    upto: int > int > list_int ).

thf(func_def_635,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_636,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_637,type,
    suc: nat > nat ).

thf(func_def_638,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

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

thf(func_def_640,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_641,type,
    pred: nat > nat ).

thf(func_def_642,type,
    semiring_1_Nats_int: set_int ).

thf(func_def_643,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_644,type,
    semiri3763490453095760265atural: nat > code_natural ).

thf(func_def_645,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_646,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_647,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_648,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_649,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_650,type,
    size_size_list_o: list_o > nat ).

thf(func_def_651,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

thf(func_def_652,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_653,type,
    size_size_list_int: list_int > nat ).

thf(func_def_654,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

thf(func_def_655,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_656,type,
    size_size_list_real: list_real > nat ).

thf(func_def_657,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

thf(func_def_658,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_659,type,
    size_size_num: num > nat ).

thf(func_def_660,type,
    size_size_option_num: option_num > nat ).

thf(func_def_661,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_662,type,
    size_size_char: char > nat ).

thf(func_def_663,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_664,type,
    nat_int_decode: nat > int ).

thf(func_def_665,type,
    nat_int_encode: int > nat ).

thf(func_def_666,type,
    nat_list_decode: nat > list_nat ).

thf(func_def_667,type,
    nat_list_decode_rel: nat > nat > $o ).

thf(func_def_668,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_669,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_670,type,
    nat_prod_decode: nat > product_prod_nat_nat ).

thf(func_def_671,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_672,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

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

thf(func_def_674,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_675,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_676,type,
    nat_sum_decode: nat > sum_sum_nat_nat ).

thf(func_def_677,type,
    nat_sum_encode: sum_sum_nat_nat > nat ).

thf(func_def_678,type,
    nat_triangle: nat > nat ).

thf(func_def_679,type,
    root: nat > real > real ).

thf(func_def_680,type,
    sqrt: real > real ).

thf(func_def_681,type,
    bitM: num > num ).

thf(func_def_682,type,
    inc: num > num ).

thf(func_def_683,type,
    nat_of_num: num > nat ).

thf(func_def_684,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_685,type,
    neg_nu7009210354673126013omplex: complex > complex ).

thf(func_def_686,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_687,type,
    neg_numeral_dbl_rat: rat > rat ).

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

thf(func_def_689,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_690,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_691,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_692,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_693,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_694,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_695,type,
    neg_nu8557863876264182079omplex: complex > complex ).

thf(func_def_696,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_697,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_698,type,
    neg_nu8295874005876285629c_real: real > real ).

thf(func_def_699,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_700,type,
    bit0: num > num ).

thf(func_def_701,type,
    bit1: num > num ).

thf(func_def_702,type,
    one: num ).

thf(func_def_703,type,
    size_num: num > nat ).

thf(func_def_704,type,
    num_of_nat: nat > num ).

thf(func_def_705,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_706,type,
    numera5444537566228673987atural: num > code_natural ).

thf(func_def_707,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_708,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_709,type,
    numeral_numeral_int: num > int ).

thf(func_def_710,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_711,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_712,type,
    numeral_numeral_real: num > real ).

thf(func_def_713,type,
    pow: num > num > num ).

thf(func_def_714,type,
    pred_numeral: num > nat ).

thf(func_def_715,type,
    sqr: num > num ).

thf(func_def_716,type,
    none_num: option_num ).

thf(func_def_717,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_718,type,
    some_num: num > option_num ).

thf(func_def_719,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_720,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_721,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_722,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_723,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_724,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_725,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_726,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_727,type,
    order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

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

thf(func_def_729,type,
    bot_bot_nat: nat ).

thf(func_def_730,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_731,type,
    bot_bot_set_int: set_int ).

thf(func_def_732,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(func_def_733,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_734,type,
    bot_bot_set_num: set_num ).

thf(func_def_735,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_736,type,
    bot_bot_set_real: set_real ).

thf(func_def_737,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_738,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_739,type,
    ord_Least_nat: ( nat > $o ) > nat ).

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

thf(func_def_741,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_742,type,
    ord_le5570908160329646204atural: code_natural > code_natural > $o ).

thf(func_def_743,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_744,type,
    ord_less_int: int > int > $o ).

thf(func_def_745,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_746,type,
    ord_less_num: num > num > $o ).

thf(func_def_747,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_748,type,
    ord_less_real: real > real > $o ).

thf(func_def_749,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_750,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_751,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_752,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_753,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_754,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_755,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_756,type,
    ord_le1926595141338095240atural: code_natural > code_natural > $o ).

thf(func_def_757,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_758,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_759,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_760,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_761,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_762,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_763,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_764,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_765,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_766,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_767,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_768,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_769,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_770,type,
    ord_max_int: int > int > int ).

thf(func_def_771,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_772,type,
    ord_min_int: int > int > int ).

thf(func_def_773,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_774,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_775,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_776,type,
    ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_777,type,
    top_top_set_int: set_int ).

thf(func_def_778,type,
    top_top_set_list_nat: set_list_nat ).

thf(func_def_779,type,
    top_top_set_nat: set_nat ).

thf(func_def_780,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_781,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_782,type,
    top_top_set_real: set_real ).

thf(func_def_783,type,
    top_top_set_char: set_char ).

thf(func_def_784,type,
    top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).

thf(func_def_785,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_786,type,
    power_7079662738309270450atural: code_natural > nat > code_natural ).

thf(func_def_787,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_788,type,
    power_power_int: int > nat > int ).

thf(func_def_789,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_790,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_791,type,
    power_power_real: real > nat > real ).

thf(func_def_792,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_793,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_794,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_795,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_796,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_797,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_798,type,
    produc3574140220909816553atural: code_natural > code_natural > produc7822875418678951345atural ).

thf(func_def_799,type,
    produc6639722614265839536atural: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_800,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_801,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_802,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_803,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_804,type,
    produc581526299967858633d_enat: vEBT_VEBT > extended_enat > produc7272778201969148633d_enat ).

thf(func_def_805,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_806,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_807,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_808,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_809,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_810,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_811,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_812,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_813,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_814,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_815,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_816,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_817,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_818,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_819,type,
    produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_820,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_821,type,
    produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).

thf(func_def_822,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_823,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_824,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_825,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_826,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_827,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_828,type,
    produc5538323210962509403atural: ( produc7822875418678951345atural > produc5835291356934675326atural ) > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_829,type,
    quotie8700032322157300518t_real: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > real ) > ( real > nat > rat ) > $o ).

thf(func_def_830,type,
    quotie6776551016481293500at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > $o ).

thf(func_def_831,type,
    inc_shift: code_natural > code_natural > code_natural ).

thf(func_def_832,type,
    iterat8892046348760725948atural: code_natural > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_833,type,
    log: code_natural > code_natural > code_natural ).

thf(func_def_834,type,
    log_rel: produc7822875418678951345atural > produc7822875418678951345atural > $o ).

thf(func_def_835,type,
    minus_shift: code_natural > code_natural > code_natural > code_natural ).

thf(func_def_836,type,
    next: produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_837,type,
    range: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_838,type,
    abs_Rat: product_prod_int_int > rat ).

thf(func_def_839,type,
    fract: int > int > rat ).

thf(func_def_840,type,
    frct: product_prod_int_int > rat ).

thf(func_def_841,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_842,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_843,type,
    field_7254667332652039916t_real: rat > real ).

thf(func_def_844,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_845,type,
    of_int: int > rat ).

thf(func_def_846,type,
    pcr_rat: product_prod_int_int > rat > $o ).

thf(func_def_847,type,
    positive: rat > $o ).

thf(func_def_848,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_849,type,
    ratrel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_850,type,
    ratreal: rat > real ).

thf(func_def_851,type,
    real2: ( nat > rat ) > real ).

thf(func_def_852,type,
    cauchy: ( nat > rat ) > $o ).

thf(func_def_853,type,
    cr_real: ( nat > rat ) > real > $o ).

thf(func_def_854,type,
    pcr_real: ( nat > rat ) > real > $o ).

thf(func_def_855,type,
    positive2: real > $o ).

thf(func_def_856,type,
    realrel: ( nat > rat ) > ( nat > rat ) > $o ).

thf(func_def_857,type,
    rep_real: real > nat > rat ).

thf(func_def_858,type,
    vanishes: ( nat > rat ) > $o ).

thf(func_def_859,type,
    real_V2521375963428798218omplex: set_complex ).

thf(func_def_860,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_861,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_862,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_863,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_864,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_865,type,
    real_V1803761363581548252l_real: real > real ).

thf(func_def_866,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_867,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_868,type,
    transp_nat_rat: ( ( nat > rat ) > ( nat > rat ) > $o ) > $o ).

thf(func_def_869,type,
    algebr932160517623751201me_int: int > int > $o ).

thf(func_def_870,type,
    algebr934650988132801477me_nat: nat > nat > $o ).

thf(func_def_871,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_872,type,
    divide5121882707175180666atural: code_natural > code_natural > code_natural ).

thf(func_def_873,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_874,type,
    divide_divide_int: int > int > int ).

thf(func_def_875,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_876,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_877,type,
    divide_divide_real: real > real > real ).

thf(func_def_878,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_879,type,
    dvd_dvd_Code_natural: code_natural > code_natural > $o ).

thf(func_def_880,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_881,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_882,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_883,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_884,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_885,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_886,type,
    modulo8411746178871703098atural: code_natural > code_natural > code_natural ).

thf(func_def_887,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_888,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_889,type,
    unit_f2748546683901255202or_nat: nat > nat ).

thf(func_def_890,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_891,type,
    zero_n8403883297036319079atural: $o > code_natural ).

thf(func_def_892,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_893,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_894,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_895,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_896,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_897,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_898,type,
    suminf_int: ( nat > int ) > int ).

thf(func_def_899,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(func_def_900,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_901,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_902,type,
    summable_int: ( nat > int ) > $o ).

thf(func_def_903,type,
    summable_nat: ( nat > nat ) > $o ).

thf(func_def_904,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_905,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(func_def_906,type,
    sums_int: ( nat > int ) > int > $o ).

thf(func_def_907,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(func_def_908,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_909,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_910,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_911,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_912,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_913,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_914,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_915,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_916,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_917,type,
    pow_nat: set_nat > set_set_nat ).

thf(func_def_918,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_919,type,
    image_int_nat: ( int > nat ) > set_int > set_nat ).

thf(func_def_920,type,
    image_list_nat_nat: ( list_nat > nat ) > set_list_nat > set_nat ).

thf(func_def_921,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(func_def_922,type,
    image_nat_list_nat: ( nat > list_nat ) > set_nat > set_list_nat ).

thf(func_def_923,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_924,type,
    image_5846123807819985514at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_925,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_926,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_927,type,
    image_678696785212003926at_nat: ( nat > sum_sum_nat_nat ) > set_nat > set_Sum_sum_nat_nat ).

thf(func_def_928,type,
    image_2486076414777270412at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_929,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_930,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_931,type,
    image_1320371278474632150at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > set_nat ).

thf(func_def_932,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_933,type,
    insert_int: int > set_int > set_int ).

thf(func_def_934,type,
    insert_list_nat: list_nat > set_list_nat > set_list_nat ).

thf(func_def_935,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_936,type,
    insert_real: real > set_real > set_real ).

thf(func_def_937,type,
    insert_set_nat: set_nat > set_set_nat > set_set_nat ).

thf(func_def_938,type,
    insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_939,type,
    vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_940,type,
    set_fo1084959871951514735nteger: ( nat > code_integer > code_integer ) > nat > nat > code_integer > code_integer ).

thf(func_def_941,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_942,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_943,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_944,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_945,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_946,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_947,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_948,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_949,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_950,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_951,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_952,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_953,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_954,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_955,type,
    set_ord_atLeast_real: real > set_real ).

thf(func_def_956,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_957,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_958,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_959,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_960,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_961,type,
    set_or2392100141987894638an_num: num > num > set_num ).

thf(func_def_962,type,
    set_or5199638295745620268an_rat: rat > rat > set_rat ).

thf(func_def_963,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_964,type,
    set_or8625682525731655386et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_965,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_966,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_967,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_968,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_969,type,
    abort_real: literal > ( product_unit > real ) > real ).

thf(func_def_970,type,
    literal2: $o > $o > $o > $o > $o > $o > $o > literal > literal ).

thf(func_def_971,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_972,type,
    size_char: char > nat ).

thf(func_def_973,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_974,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_975,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

thf(func_def_976,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

thf(func_def_977,type,
    sum_ca7763040182479039464nt_nat: ( nat > int ) > ( nat > int ) > sum_sum_nat_nat > int ).

thf(func_def_978,type,
    sum_ca6763686470577984908at_nat: ( nat > nat ) > ( nat > nat ) > sum_sum_nat_nat > nat ).

thf(func_def_979,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_980,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_981,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_982,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_983,type,
    topolo7531315842566124627t_real: ( nat > real ) > $o ).

thf(func_def_984,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_985,type,
    topolo6517432010174082258omplex: ( nat > complex ) > $o ).

thf(func_def_986,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_987,type,
    arccos: real > real ).

thf(func_def_988,type,
    arcosh_real: real > real ).

thf(func_def_989,type,
    arcsin: real > real ).

thf(func_def_990,type,
    arctan: real > real ).

thf(func_def_991,type,
    arsinh_real: real > real ).

thf(func_def_992,type,
    artanh_real: real > real ).

thf(func_def_993,type,
    cos_complex: complex > complex ).

thf(func_def_994,type,
    cos_real: real > real ).

thf(func_def_995,type,
    cos_coeff: nat > real ).

thf(func_def_996,type,
    cosh_complex: complex > complex ).

thf(func_def_997,type,
    cosh_real: real > real ).

thf(func_def_998,type,
    cot_complex: complex > complex ).

thf(func_def_999,type,
    cot_real: real > real ).

thf(func_def_1000,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(func_def_1001,type,
    exp_complex: complex > complex ).

thf(func_def_1002,type,
    exp_real: real > real ).

thf(func_def_1003,type,
    ln_ln_real: real > real ).

thf(func_def_1004,type,
    log2: real > real > real ).

thf(func_def_1005,type,
    pi: real ).

thf(func_def_1006,type,
    powr_real: real > real > real ).

thf(func_def_1007,type,
    powr_real2: real > real > real ).

thf(func_def_1008,type,
    sin_complex: complex > complex ).

thf(func_def_1009,type,
    sin_real: real > real ).

thf(func_def_1010,type,
    sin_coeff: nat > real ).

thf(func_def_1011,type,
    sinh_complex: complex > complex ).

thf(func_def_1012,type,
    sinh_real: real > real ).

thf(func_def_1013,type,
    tan_complex: complex > complex ).

thf(func_def_1014,type,
    tan_real: real > real ).

thf(func_def_1015,type,
    tanh_complex: complex > complex ).

thf(func_def_1016,type,
    tanh_real: real > real ).

thf(func_def_1017,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1018,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_1019,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1020,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_1021,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_1022,type,
    vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).

thf(func_def_1023,type,
    vEBT_V312737461966249ad_rel: produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o ).

thf(func_def_1024,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_1025,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_1026,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_1027,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_1028,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1029,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_1030,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1031,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_1032,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1033,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_1034,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1035,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_1036,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_1037,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_1038,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_1039,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1040,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1041,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_1042,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1043,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_1044,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_1045,type,
    accp_P8126237942716283194atural: ( produc7822875418678951345atural > produc7822875418678951345atural > $o ) > produc7822875418678951345atural > $o ).

thf(func_def_1046,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_1047,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1048,type,
    accp_P6183159247885693666d_enat: ( produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o ) > produc7272778201969148633d_enat > $o ).

thf(func_def_1049,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_1050,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(func_def_1051,type,
    less_than: set_Pr1261947904930325089at_nat ).

thf(func_def_1052,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1053,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_1054,type,
    member_o: $o > set_o > $o ).

thf(func_def_1055,type,
    member_Code_integer: code_integer > set_Code_integer > $o ).

thf(func_def_1056,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_1057,type,
    member_int: int > set_int > $o ).

thf(func_def_1058,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_1059,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_1060,type,
    member_num: num > set_num > $o ).

thf(func_def_1061,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1062,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_1063,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_1064,type,
    member_real: real > set_real > $o ).

thf(func_def_1065,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_1066,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_1067,type,
    deg: nat ).

thf(func_def_1068,type,
    m: nat ).

thf(func_def_1069,type,
    na: nat ).

thf(func_def_1070,type,
    summary: vEBT_VEBT ).

thf(func_def_1071,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_1072,type,
    xa: nat ).

thf(func_def_1091,type,
    sP0: nat > ( nat > $o ) > $o ).

thf(func_def_1092,type,
    sP1: ( nat > $o ) > $o ).

thf(func_def_1093,type,
    sP2: nat > nat > $o ).

thf(func_def_1094,type,
    sP3: ( nat > $o ) > nat > nat > $o ).

thf(func_def_1095,type,
    sP4: nat > nat > ( nat > $o ) > $o ).

thf(func_def_1096,type,
    sP5: ( nat > nat > $o ) > $o ).

thf(func_def_1097,type,
    sP6: nat > nat > $o ).

thf(func_def_1098,type,
    sP7: nat > nat > $o ).

thf(func_def_1099,type,
    sP8: nat > ( nat > $o ) > $o ).

thf(func_def_1100,type,
    sP9: nat > nat > $o ).

thf(func_def_1101,type,
    sP10: nat > nat > $o ).

thf(func_def_1102,type,
    sP11: ( nat > $o ) > $o ).

thf(func_def_1103,type,
    sP12: nat > ( nat > $o ) > nat > $o ).

thf(func_def_1104,type,
    sP13: nat > nat > ( nat > $o ) > $o ).

thf(func_def_1105,type,
    sP14: ( nat > nat > $o ) > $o ).

thf(func_def_1106,type,
    sP15: ( nat > $o ) > nat > nat > $o ).

thf(func_def_1107,type,
    sP16: nat > ( nat > $o ) > nat > $o ).

thf(func_def_1108,type,
    sP17: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1109,type,
    sP18: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1110,type,
    sP19: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1111,type,
    sP20: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1112,type,
    sP21: nat > real > $o ).

thf(func_def_1113,type,
    sP22: nat > ( nat > $o ) > $o ).

thf(func_def_1114,type,
    sP23: nat > ( nat > $o ) > $o ).

thf(func_def_1115,type,
    sP24: ( nat > $o ) > nat > nat > $o ).

thf(func_def_1116,type,
    sP25: ( nat > $o ) > nat > nat > $o ).

thf(func_def_1117,type,
    sP26: nat > nat > $o ).

thf(func_def_1118,type,
    sP27: nat > nat > $o ).

thf(func_def_1119,type,
    sP28: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1120,type,
    sP29: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1121,type,
    sP30: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1122,type,
    sP31: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1123,type,
    sP32: ( nat > $o ) > nat > $o ).

thf(func_def_1124,type,
    sP33: nat > ( nat > $o ) > $o ).

thf(func_def_1125,type,
    sP34: nat > nat > $o ).

thf(func_def_1126,type,
    sP35: nat > nat > $o ).

thf(func_def_1127,type,
    sP36: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1128,type,
    sP37: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1129,type,
    sP38: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1130,type,
    sP39: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1131,type,
    sP40: nat > ( nat > $o ) > $o ).

thf(func_def_1132,type,
    sP41: real > num > $o ).

thf(func_def_1133,type,
    sP42: real > num > $o ).

thf(func_def_1134,type,
    sP43: real > nat > $o ).

thf(func_def_1135,type,
    sP44: real > nat > $o ).

thf(func_def_1136,type,
    sP45: nat > ( nat > $o ) > $o ).

thf(func_def_1137,type,
    sP46: nat > ( nat > $o ) > $o ).

thf(func_def_1138,type,
    sP47: ( nat > $o ) > nat > $o ).

thf(func_def_1139,type,
    sP48: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1140,type,
    sP49: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1141,type,
    sP50: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1142,type,
    sP51: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1143,type,
    sP52: ( nat > $o ) > nat > $o ).

thf(func_def_1144,type,
    sP53: nat > ( nat > $o ) > $o ).

thf(func_def_1145,type,
    sP54: ( nat > $o ) > $o ).

thf(func_def_1146,type,
    sK55: ( rat > nat ) > rat ).

thf(func_def_1147,type,
    sK56: ( rat > nat ) > rat ).

thf(func_def_1148,type,
    sK57: nat > nat ).

thf(func_def_1149,type,
    sK58: nat > nat ).

thf(func_def_1150,type,
    sK59: nat > nat > nat ).

thf(func_def_1151,type,
    sK60: nat > nat > nat ).

thf(func_def_1152,type,
    sK61: ( nat > real ) > nat ).

thf(func_def_1153,type,
    sK62: nat > ( nat > $o ) > nat ).

thf(func_def_1154,type,
    sK63: ( nat > $o ) > nat ).

thf(func_def_1155,type,
    sK64: nat > nat > nat ).

thf(func_def_1156,type,
    sK65: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1157,type,
    sK66: ( nat > rat ) > nat ).

thf(func_def_1158,type,
    sK67: ( nat > rat ) > nat ).

thf(func_def_1159,type,
    sK68: nat > nat > nat ).

thf(func_def_1160,type,
    sK69: ( nat > nat > $o ) > nat ).

thf(func_def_1161,type,
    sK70: ( nat > nat > $o ) > nat ).

thf(func_def_1162,type,
    sK71: ( nat > nat > $o ) > nat ).

thf(func_def_1163,type,
    sK72: ( nat > nat > $o ) > nat ).

thf(func_def_1164,type,
    sK73: ( nat > nat > $o ) > nat ).

thf(func_def_1165,type,
    sK74: real > nat > real ).

thf(func_def_1166,type,
    sK75: nat > ( nat > $o ) > nat ).

thf(func_def_1167,type,
    sK76: nat > ( nat > $o ) > nat ).

thf(func_def_1168,type,
    sK77: nat > nat ).

thf(func_def_1169,type,
    sK78: ( nat > nat > $o ) > nat ).

thf(func_def_1170,type,
    sK79: ( nat > nat > $o ) > nat ).

thf(func_def_1171,type,
    sK80: ( nat > nat > $o ) > nat ).

thf(func_def_1172,type,
    sK81: ( nat > nat > $o ) > nat ).

thf(func_def_1173,type,
    sK82: nat > nat ).

thf(func_def_1174,type,
    sK83: nat > nat ).

thf(func_def_1175,type,
    sK84: nat > nat ).

thf(func_def_1176,type,
    sK85: nat > nat ).

thf(func_def_1177,type,
    sK86: nat > nat ).

thf(func_def_1178,type,
    sK87: ( nat > $o ) > nat ).

thf(func_def_1179,type,
    sK88: ( nat > $o ) > nat ).

thf(func_def_1180,type,
    sK89: ( nat > $o ) > nat ).

thf(func_def_1181,type,
    sK90: ( nat > nat ) > nat ).

thf(func_def_1182,type,
    sK91: ( nat > nat ) > nat ).

thf(func_def_1183,type,
    sK92: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1184,type,
    sK93: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1185,type,
    sK94: nat > nat ).

thf(func_def_1186,type,
    sK95: nat > nat ).

thf(func_def_1187,type,
    sK96: nat > nat ).

thf(func_def_1188,type,
    sK97: ( nat > nat > $o ) > nat ).

thf(func_def_1189,type,
    sK98: ( nat > nat > $o ) > nat ).

thf(func_def_1190,type,
    sK99: ( nat > nat > $o ) > nat ).

thf(func_def_1191,type,
    sK100: ( nat > nat > $o ) > nat ).

thf(func_def_1192,type,
    sK101: ( nat > int ) > nat ).

thf(func_def_1193,type,
    sK102: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1194,type,
    sK103: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1195,type,
    sK104: ( rat > nat ) > rat ).

thf(func_def_1196,type,
    sK105: ( rat > nat ) > rat ).

thf(func_def_1197,type,
    sK106: nat > nat ).

thf(func_def_1198,type,
    sK107: nat > nat ).

thf(func_def_1199,type,
    sK108: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1200,type,
    sK109: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1201,type,
    sK110: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1202,type,
    sK111: ( nat > rat ) > nat ).

thf(func_def_1203,type,
    sK112: ( nat > rat ) > nat ).

thf(func_def_1204,type,
    sK113: ( real > nat ) > real ).

thf(func_def_1205,type,
    sK114: ( real > nat ) > real ).

thf(func_def_1206,type,
    sK115: ( rat > nat ) > rat ).

thf(func_def_1207,type,
    sK116: ( rat > nat ) > rat ).

thf(func_def_1208,type,
    sK117: nat > real > real ).

thf(func_def_1209,type,
    sK118: ( rat > nat ) > rat ).

thf(func_def_1210,type,
    sK119: ( rat > nat ) > rat ).

thf(func_def_1211,type,
    sK120: nat > ( nat > $o ) > nat ).

thf(func_def_1212,type,
    sK121: nat > ( nat > $o ) > nat ).

thf(func_def_1213,type,
    sK122: nat > nat ).

thf(func_def_1214,type,
    sK123: nat > nat > nat ).

thf(func_def_1215,type,
    sK124: nat > nat ).

thf(func_def_1216,type,
    sK125: ( nat > nat ) > nat ).

thf(func_def_1217,type,
    sK126: ( nat > nat ) > nat ).

thf(func_def_1218,type,
    sK127: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1219,type,
    sK128: ( nat > $o ) > nat ).

thf(func_def_1220,type,
    sK129: ( nat > real ) > nat ).

thf(func_def_1221,type,
    sK130: ( nat > real ) > nat ).

thf(func_def_1222,type,
    sK131: ( nat > $o ) > nat ).

thf(func_def_1223,type,
    sK132: ( nat > real ) > nat ).

thf(func_def_1224,type,
    sK133: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1225,type,
    sK134: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1226,type,
    sK135: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1227,type,
    sK136: nat > nat > nat ).

thf(func_def_1228,type,
    sK137: ( nat > rat ) > nat ).

thf(func_def_1229,type,
    sK138: ( nat > rat ) > nat ).

thf(func_def_1230,type,
    sK139: ( nat > $o ) > nat ).

thf(func_def_1231,type,
    sK140: nat > ( nat > $o ) > nat ).

thf(func_def_1232,type,
    sK141: ( nat > $o ) > nat > nat ).

thf(func_def_1233,type,
    sK142: ( real > nat ) > real ).

thf(func_def_1234,type,
    sK143: ( real > nat ) > real ).

thf(func_def_1235,type,
    sK144: ( nat > rat ) > nat ).

thf(func_def_1236,type,
    sK145: ( nat > rat ) > nat ).

thf(func_def_1237,type,
    sK146: nat > nat ).

thf(func_def_1238,type,
    sK147: nat > nat > nat ).

thf(func_def_1239,type,
    sK148: ( nat > real ) > nat ).

thf(func_def_1240,type,
    sK149: ( nat > real ) > nat ).

thf(func_def_1241,type,
    sK150: nat > nat > nat ).

thf(func_def_1242,type,
    sK151: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1243,type,
    sK152: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1244,type,
    sK153: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1245,type,
    sK154: ( nat > nat ) > nat ).

thf(func_def_1246,type,
    sK155: nat > ( nat > $o ) > nat ).

thf(func_def_1247,type,
    sK156: ( nat > $o ) > nat ).

thf(func_def_1248,type,
    sK157: nat > nat > nat ).

thf(func_def_1249,type,
    sK158: ( rat > nat ) > rat ).

thf(func_def_1250,type,
    sK159: ( rat > nat ) > rat ).

thf(func_def_1251,type,
    sK160: ( nat > nat ) > nat ).

thf(func_def_1252,type,
    sK161: nat > ( nat > $o ) > nat ).

thf(func_def_1253,type,
    sK162: nat > ( nat > $o ) > nat ).

thf(func_def_1254,type,
    sK163: nat > nat > nat ).

thf(func_def_1255,type,
    sK164: ( nat > $o ) > nat ).

thf(func_def_1256,type,
    sK165: nat > nat ).

thf(func_def_1257,type,
    sK166: ( nat > $o ) > nat > nat ).

thf(func_def_1258,type,
    sK167: nat > ( nat > $o ) > nat ).

thf(func_def_1259,type,
    sK168: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1260,type,
    sK169: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1261,type,
    sK170: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1262,type,
    sK171: ( nat > real ) > nat ).

thf(func_def_1263,type,
    sK172: ( nat > real ) > nat ).

thf(func_def_1264,type,
    sK173: nat > nat > nat ).

thf(func_def_1265,type,
    sK174: ( nat > nat > $o ) > nat ).

thf(func_def_1266,type,
    sK175: ( nat > nat > $o ) > nat ).

thf(func_def_1267,type,
    sK176: ( nat > nat > $o ) > nat ).

thf(func_def_1268,type,
    sK177: ( nat > nat > $o ) > nat ).

thf(func_def_1269,type,
    sK178: ( nat > nat > $o ) > nat ).

thf(func_def_1270,type,
    sK179: ( nat > int ) > nat ).

thf(func_def_1271,type,
    sK180: nat > ( nat > $o ) > nat ).

thf(func_def_1272,type,
    sK181: ( nat > $o ) > nat > nat ).

thf(func_def_1273,type,
    sK182: ( real > nat ) > real ).

thf(func_def_1274,type,
    sK183: ( real > nat ) > real ).

thf(func_def_1275,type,
    sK184: nat > nat ).

thf(func_def_1276,type,
    sK185: ( nat > $o ) > nat ).

thf(func_def_1277,type,
    sK186: nat > nat ).

thf(func_def_1278,type,
    sK187: ( nat > $o ) > nat ).

thf(func_def_1279,type,
    sK188: nat > nat > nat ).

thf(func_def_1281,type,
    ph190: 
      !>[X0: $tType] : X0 ).

thf(f25416,plain,
    $false,
    inference(subsumption_resolution,[],[f25415,f23619]) ).

thf(f23619,plain,
    ! [X0: nat] :
      ( zero_zero_nat
     != ( suc @ X0 ) ),
    inference(cnf_transformation,[],[f22545]) ).

thf(f22545,plain,
    ! [X0: nat] :
      ( zero_zero_nat
     != ( suc @ X0 ) ),
    inference(rectify,[],[f31]) ).

thf(f31,axiom,
    ! [X6: nat] :
      ( zero_zero_nat
     != ( suc @ X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_old_Onat_Odistinct_I2_J) ).

thf(f25415,plain,
    ( zero_zero_nat
    = ( suc @ na ) ),
    inference(trivial_inequality_removal,[],[f25404]) ).

thf(f25404,plain,
    ( ( zero_zero_nat
      = ( suc @ na ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f25241,f24847]) ).

thf(f24847,plain,
    ! [X0: nat] :
      ( ( $true
        = ( ord_less_eq_nat @ ( suc @ zero_zero_nat ) @ X0 ) )
      | ( zero_zero_nat = X0 ) ),
    inference(beta_eta_normalization,[],[f24361]) ).

thf(f24361,plain,
    ! [X0: nat] :
      ( ( $true
        = ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) )
          @ zero_zero_nat
          @ X0 ) )
      | ( zero_zero_nat = X0 ) ),
    inference(definition_unfolding,[],[f23680,f23740]) ).

thf(f23740,plain,
    ( ord_less_nat
    = ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f20858]) ).

thf(f20858,plain,
    ( ord_less_nat
    = ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f20857]) ).

thf(f20857,plain,
    ( ( ^ [X0: nat] : ( ord_less_eq_nat @ ( suc @ X0 ) ) )
    = ord_less_nat ),
    inference(rectify,[],[f1562]) ).

thf(f1562,axiom,
    ( ( ^ [X49: nat] : ( ord_less_eq_nat @ ( suc @ X49 ) ) )
    = ord_less_nat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1561_less__eq__Suc__le) ).

thf(f23680,plain,
    ! [X0: nat] :
      ( ( ( ord_less_nat @ zero_zero_nat @ X0 )
        = $true )
      | ( zero_zero_nat = X0 ) ),
    inference(cnf_transformation,[],[f23185]) ).

thf(f23185,plain,
    ! [X0: nat] :
      ( ( ( zero_zero_nat != X0 )
        | ( ( ord_less_nat @ zero_zero_nat @ X0 )
         != $true ) )
      & ( ( ( ord_less_nat @ zero_zero_nat @ X0 )
          = $true )
        | ( zero_zero_nat = X0 ) ) ),
    inference(nnf_transformation,[],[f22343]) ).

thf(f22343,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat != X0 )
    <=> ( ( ord_less_nat @ zero_zero_nat @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f22342]) ).

thf(f22342,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat != X0 )
      = ( ord_less_nat @ zero_zero_nat @ X0 ) ),
    inference(rectify,[],[f95]) ).

thf(f95,axiom,
    ! [X1: nat] :
      ( ( zero_zero_nat != X1 )
      = ( ord_less_nat @ zero_zero_nat @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_zero__less__iff__neq__zero) ).

thf(f25241,plain,
    ( $true
   != ( ord_less_eq_nat @ ( suc @ zero_zero_nat ) @ ( suc @ na ) ) ),
    inference(beta_eta_normalization,[],[f24334]) ).

thf(f24334,plain,
    ( ( ^ [Y0: nat] : ( ord_less_eq_nat @ ( suc @ Y0 ) )
      @ zero_zero_nat
      @ ( suc @ na ) )
   != $true ),
    inference(definition_unfolding,[],[f23632,f23740,f24027]) ).

thf(f24027,plain,
    ( m
    = ( suc @ na ) ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,axiom,
    ( m
    = ( suc @ na ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__C3_Ohyps_C_I3_J) ).

thf(f23632,plain,
    ( ( ord_less_nat @ zero_zero_nat @ m )
   != $true ),
    inference(cnf_transformation,[],[f22507]) ).

thf(f22507,plain,
    ( ( ord_less_nat @ zero_zero_nat @ m )
   != $true ),
    inference(flattening,[],[f12313]) ).

thf(f12313,plain,
    ( ( ord_less_nat @ zero_zero_nat @ m )
   != $true ),
    inference(fool_elimination,[],[f12312]) ).

thf(f12312,plain,
    ~ ( ord_less_nat @ zero_zero_nat @ m ),
    inference(rectify,[],[f10194]) ).

thf(f10194,negated_conjecture,
    ~ ( ord_less_nat @ zero_zero_nat @ m ),
    inference(negated_conjecture,[],[f10193]) ).

thf(f10193,conjecture,
    ord_less_nat @ zero_zero_nat @ m,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP225^3 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 15:59:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.37  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
% 1.02/1.18  % (3099)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 (2992ds/4Mi)
% 1.02/1.18  % (3098)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2992ds/183Mi)
% 1.02/1.18  % (3102)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 (2992ds/2Mi)
% 1.02/1.18  % (3100)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 (2992ds/27Mi)
% 1.02/1.18  % (3103)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 (2992ds/275Mi)
% 1.02/1.18  % (3104)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2992ds/18Mi)
% 1.02/1.18  % (3101)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2992ds/2Mi)
% 1.02/1.18  % (3105)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2992ds/3Mi)
% 1.02/1.18  % (3102)Instruction limit reached!
% 1.02/1.18  % (3102)------------------------------
% 1.02/1.18  % (3102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.18  % (3102)Termination reason: Unknown
% 1.02/1.18  % (3102)Termination phase: shuffling
% 1.02/1.18  
% 1.02/1.18  % (3102)Memory used [KB]: 12025
% 1.02/1.18  % (3102)Time elapsed: 0.004 s
% 1.02/1.18  % (3102)Instructions burned: 2 (million)
% 1.02/1.18  % (3102)------------------------------
% 1.02/1.18  % (3102)------------------------------
% 1.02/1.18  % (3101)Instruction limit reached!
% 1.02/1.18  % (3101)------------------------------
% 1.02/1.18  % (3101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.18  % (3101)Termination reason: Unknown
% 1.02/1.18  % (3101)Termination phase: shuffling
% 1.02/1.18  
% 1.02/1.18  % (3101)Memory used [KB]: 12025
% 1.02/1.18  % (3101)Time elapsed: 0.004 s
% 1.02/1.18  % (3101)Instructions burned: 2 (million)
% 1.02/1.18  % (3101)------------------------------
% 1.02/1.18  % (3101)------------------------------
% 1.02/1.18  % (3105)Instruction limit reached!
% 1.02/1.18  % (3105)------------------------------
% 1.02/1.18  % (3105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.18  % (3105)Termination reason: Unknown
% 1.02/1.18  % (3105)Termination phase: shuffling
% 1.02/1.18  
% 1.02/1.18  % (3105)Memory used [KB]: 12153
% 1.02/1.18  % (3105)Time elapsed: 0.005 s
% 1.02/1.18  % (3105)Instructions burned: 3 (million)
% 1.02/1.18  % (3105)------------------------------
% 1.02/1.18  % (3105)------------------------------
% 1.02/1.18  % (3099)Instruction limit reached!
% 1.02/1.18  % (3099)------------------------------
% 1.02/1.18  % (3099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.18  % (3099)Termination reason: Unknown
% 1.02/1.18  % (3099)Termination phase: shuffling
% 1.02/1.18  
% 1.02/1.18  % (3099)Memory used [KB]: 12153
% 1.02/1.18  % (3099)Time elapsed: 0.006 s
% 1.02/1.18  % (3099)Instructions burned: 4 (million)
% 1.02/1.18  % (3099)------------------------------
% 1.02/1.18  % (3099)------------------------------
% 1.02/1.20  % (3106)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 (2991ds/37Mi)
% 1.02/1.20  % (3108)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 (2991ds/3Mi)
% 1.02/1.20  % (3107)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 (2991ds/15Mi)
% 1.02/1.20  % (3109)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 (2991ds/1041Mi)
% 1.02/1.20  % (3104)Instruction limit reached!
% 1.02/1.20  % (3104)------------------------------
% 1.02/1.20  % (3104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.20  % (3104)Termination reason: Unknown
% 1.02/1.20  % (3104)Termination phase: shuffling
% 1.02/1.20  
% 1.02/1.20  % (3104)Memory used [KB]: 12792
% 1.02/1.20  % (3104)Time elapsed: 0.022 s
% 1.02/1.20  % (3104)Instructions burned: 18 (million)
% 1.02/1.20  % (3104)------------------------------
% 1.02/1.20  % (3104)------------------------------
% 1.02/1.20  % (3108)Instruction limit reached!
% 1.02/1.20  % (3108)------------------------------
% 1.02/1.20  % (3108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.20  % (3108)Termination reason: Unknown
% 1.02/1.20  % (3108)Termination phase: shuffling
% 1.02/1.20  
% 1.02/1.20  % (3108)Memory used [KB]: 12153
% 1.02/1.20  % (3108)Time elapsed: 0.005 s
% 1.02/1.20  % (3108)Instructions burned: 3 (million)
% 1.02/1.20  % (3108)------------------------------
% 1.02/1.20  % (3108)------------------------------
% 1.02/1.20  % (3100)Instruction limit reached!
% 1.02/1.20  % (3100)------------------------------
% 1.02/1.20  % (3100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.20  % (3100)Termination reason: Unknown
% 1.02/1.20  % (3100)Termination phase: shuffling
% 1.02/1.20  
% 1.02/1.20  % (3100)Memory used [KB]: 12792
% 1.02/1.20  % (3100)Time elapsed: 0.028 s
% 1.02/1.20  % (3100)Instructions burned: 28 (million)
% 1.02/1.20  % (3100)------------------------------
% 1.02/1.20  % (3100)------------------------------
% 1.02/1.21  % (3107)Instruction limit reached!
% 1.02/1.21  % (3107)------------------------------
% 1.02/1.21  % (3107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.21  % (3107)Termination reason: Unknown
% 1.02/1.21  % (3107)Termination phase: shuffling
% 1.02/1.21  
% 1.02/1.21  % (3107)Memory used [KB]: 12792
% 1.02/1.21  % (3107)Time elapsed: 0.020 s
% 1.02/1.21  % (3107)Instructions burned: 15 (million)
% 1.02/1.21  % (3107)------------------------------
% 1.02/1.21  % (3107)------------------------------
% 1.02/1.22  % (3111)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2991ds/16Mi)
% 1.02/1.22  % (3110)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2991ds/7Mi)
% 1.02/1.22  % (3112)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 (2991ds/3Mi)
% 1.02/1.22  % (3106)Instruction limit reached!
% 1.02/1.22  % (3106)------------------------------
% 1.02/1.22  % (3106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.22  % (3106)Termination reason: Unknown
% 1.02/1.22  % (3106)Termination phase: shuffling
% 1.02/1.22  
% 1.02/1.22  % (3106)Memory used [KB]: 13048
% 1.02/1.22  % (3106)Time elapsed: 0.031 s
% 1.02/1.22  % (3106)Instructions burned: 39 (million)
% 1.02/1.22  % (3106)------------------------------
% 1.02/1.22  % (3106)------------------------------
% 1.02/1.22  % (3110)Instruction limit reached!
% 1.02/1.22  % (3110)------------------------------
% 1.02/1.22  % (3110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.23  % (3110)Termination reason: Unknown
% 1.02/1.23  % (3110)Termination phase: shuffling
% 1.02/1.23  
% 1.02/1.23  % (3110)Memory used [KB]: 12537
% 1.02/1.23  % (3110)Time elapsed: 0.012 s
% 1.02/1.23  % (3110)Instructions burned: 7 (million)
% 1.02/1.23  % (3110)------------------------------
% 1.02/1.23  % (3110)------------------------------
% 1.02/1.23  % (3112)Instruction limit reached!
% 1.02/1.23  % (3112)------------------------------
% 1.02/1.23  % (3112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.23  % (3112)Termination reason: Unknown
% 1.02/1.23  % (3112)Termination phase: shuffling
% 1.02/1.23  
% 1.02/1.23  % (3112)Memory used [KB]: 12153
% 1.02/1.23  % (3112)Time elapsed: 0.005 s
% 1.02/1.23  % (3112)Instructions burned: 3 (million)
% 1.02/1.23  % (3112)------------------------------
% 1.02/1.23  % (3112)------------------------------
% 1.02/1.23  % (3113)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 (2991ds/3Mi)
% 1.02/1.23  % (3111)Instruction limit reached!
% 1.02/1.23  % (3111)------------------------------
% 1.02/1.23  % (3111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.23  % (3111)Termination reason: Unknown
% 1.02/1.23  % (3111)Termination phase: shuffling
% 1.02/1.23  
% 1.02/1.23  % (3111)Memory used [KB]: 12792
% 1.02/1.23  % (3111)Time elapsed: 0.021 s
% 1.02/1.23  % (3111)Instructions burned: 16 (million)
% 1.02/1.23  % (3111)------------------------------
% 1.02/1.23  % (3111)------------------------------
% 1.02/1.24  % (3113)Instruction limit reached!
% 1.02/1.24  % (3113)------------------------------
% 1.02/1.24  % (3113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/1.24  % (3113)Termination reason: Unknown
% 1.02/1.24  % (3113)Termination phase: shuffling
% 1.02/1.24  
% 1.02/1.24  % (3113)Memory used [KB]: 12153
% 1.02/1.24  % (3113)Time elapsed: 0.005 s
% 1.02/1.24  % (3113)Instructions burned: 3 (million)
% 1.02/1.24  % (3113)------------------------------
% 1.02/1.24  % (3113)------------------------------
% 1.35/1.24  % (3116)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2991ds/4Mi)
% 1.35/1.24  % (3114)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2991ds/7Mi)
% 1.35/1.24  % (3115)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 (2991ds/3Mi)
% 1.35/1.24  % (3115)Instruction limit reached!
% 1.35/1.24  % (3115)------------------------------
% 1.35/1.24  % (3115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.35/1.25  % (3115)Termination reason: Unknown
% 1.35/1.25  % (3115)Termination phase: shuffling
% 1.35/1.25  
% 1.35/1.25  % (3115)Memory used [KB]: 12153
% 1.35/1.25  % (3115)Time elapsed: 0.005 s
% 1.35/1.25  % (3115)Instructions burned: 3 (million)
% 1.35/1.25  % (3115)------------------------------
% 1.35/1.25  % (3115)------------------------------
% 1.35/1.25  % (3116)Instruction limit reached!
% 1.35/1.25  % (3116)------------------------------
% 1.35/1.25  % (3116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.35/1.25  % (3116)Termination reason: Unknown
% 1.35/1.25  % (3116)Termination phase: shuffling
% 1.35/1.25  
% 1.35/1.25  % (3116)Memory used [KB]: 12281
% 1.35/1.25  % (3116)Time elapsed: 0.007 s
% 1.35/1.25  % (3116)Instructions burned: 4 (million)
% 1.35/1.25  % (3116)------------------------------
% 1.35/1.25  % (3116)------------------------------
% 1.35/1.25  % (3114)Instruction limit reached!
% 1.35/1.25  % (3114)------------------------------
% 1.35/1.25  % (3114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.35/1.25  % (3114)Termination reason: Unknown
% 1.35/1.25  % (3114)Termination phase: shuffling
% 1.35/1.25  
% 1.35/1.25  % (3114)Memory used [KB]: 12537
% 1.35/1.25  % (3114)Time elapsed: 0.012 s
% 1.35/1.25  % (3114)Instructions burned: 7 (million)
% 1.35/1.25  % (3114)------------------------------
% 1.35/1.25  % (3114)------------------------------
% 1.35/1.25  % (3117)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 (2991ds/18Mi)
% 1.35/1.25  % (3118)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2991ds/710Mi)
% 1.43/1.26  % (3119)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2991ds/6Mi)
% 1.43/1.26  % (3120)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 (2991ds/902Mi)
% 1.43/1.27  % (3119)Instruction limit reached!
% 1.43/1.27  % (3119)------------------------------
% 1.43/1.27  % (3119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/1.27  % (3119)Termination reason: Unknown
% 1.43/1.27  % (3119)Termination phase: shuffling
% 1.43/1.27  
% 1.43/1.27  % (3119)Memory used [KB]: 12409
% 1.43/1.27  % (3119)Time elapsed: 0.011 s
% 1.43/1.27  % (3119)Instructions burned: 6 (million)
% 1.43/1.27  % (3119)------------------------------
% 1.43/1.27  % (3119)------------------------------
% 1.43/1.27  % (3121)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 (2991ds/21Mi)
% 1.43/1.28  % (3117)Instruction limit reached!
% 1.43/1.28  % (3117)------------------------------
% 1.43/1.28  % (3117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/1.28  % (3117)Termination reason: Unknown
% 1.43/1.28  % (3117)Termination phase: shuffling
% 1.43/1.28  
% 1.43/1.28  % (3117)Memory used [KB]: 12792
% 1.43/1.28  % (3117)Time elapsed: 0.024 s
% 1.43/1.28  % (3117)Instructions burned: 19 (million)
% 1.43/1.28  % (3117)------------------------------
% 1.43/1.28  % (3117)------------------------------
% 1.43/1.29  % (3122)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2991ds/5Mi)
% 1.43/1.29  % (3121)Instruction limit reached!
% 1.43/1.29  % (3121)------------------------------
% 1.43/1.29  % (3121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/1.29  % (3098)Instruction limit reached!
% 1.43/1.29  % (3098)------------------------------
% 1.43/1.29  % (3098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/1.29  % (3098)Termination reason: Unknown
% 1.43/1.29  % (3098)Termination phase: shuffling
% 1.43/1.29  
% 1.43/1.29  % (3098)Memory used [KB]: 15095
% 1.43/1.29  % (3098)Time elapsed: 0.118 s
% 1.43/1.29  % (3098)Instructions burned: 183 (million)
% 1.43/1.29  % (3098)------------------------------
% 1.43/1.29  % (3098)------------------------------
% 1.43/1.29  % (3121)Termination reason: Unknown
% 1.43/1.29  % (3121)Termination phase: shuffling
% 1.43/1.29  
% 1.43/1.29  % (3121)Memory used [KB]: 12792
% 1.43/1.29  % (3121)Time elapsed: 0.025 s
% 1.43/1.29  % (3121)Instructions burned: 21 (million)
% 1.43/1.29  % (3121)------------------------------
% 1.43/1.29  % (3121)------------------------------
% 1.43/1.29  % (3123)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 (2991ds/6Mi)
% 1.43/1.29  % (3122)Instruction limit reached!
% 1.43/1.29  % (3122)------------------------------
% 1.43/1.29  % (3122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/1.29  % (3122)Termination reason: Unknown
% 1.43/1.29  % (3122)Termination phase: shuffling
% 1.43/1.29  
% 1.43/1.29  % (3122)Memory used [KB]: 12281
% 1.43/1.29  % (3122)Time elapsed: 0.008 s
% 1.43/1.29  % (3122)Instructions burned: 5 (million)
% 1.43/1.29  % (3122)------------------------------
% 1.43/1.29  % (3122)------------------------------
% 1.43/1.30  % (3123)Instruction limit reached!
% 1.43/1.30  % (3123)------------------------------
% 1.43/1.30  % (3123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/1.30  % (3123)Termination reason: Unknown
% 1.43/1.30  % (3123)Termination phase: shuffling
% 1.43/1.30  
% 1.43/1.30  % (3123)Memory used [KB]: 12409
% 1.43/1.30  % (3123)Time elapsed: 0.010 s
% 1.43/1.30  % (3123)Instructions burned: 6 (million)
% 1.43/1.30  % (3123)------------------------------
% 1.43/1.30  % (3123)------------------------------
% 1.43/1.31  % (3124)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2990ds/377Mi)
% 1.43/1.31  % (3125)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 (2990ds/779Mi)
% 1.43/1.31  % (3127)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 (2990ds/19Mi)
% 1.73/1.32  % (3128)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2990ds/879Mi)
% 1.73/1.33  % (3127)Instruction limit reached!
% 1.73/1.33  % (3127)------------------------------
% 1.73/1.33  % (3127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.73/1.33  % (3127)Termination reason: Unknown
% 1.73/1.33  % (3127)Termination phase: shuffling
% 1.73/1.33  
% 1.73/1.33  % (3127)Memory used [KB]: 12792
% 1.73/1.33  % (3127)Time elapsed: 0.021 s
% 1.73/1.33  % (3127)Instructions burned: 19 (million)
% 1.73/1.33  % (3127)------------------------------
% 1.73/1.33  % (3127)------------------------------
% 1.73/1.35  % (3103)Instruction limit reached!
% 1.73/1.35  % (3103)------------------------------
% 1.73/1.35  % (3103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.73/1.35  % (3103)Termination reason: Unknown
% 1.73/1.35  % (3103)Termination phase: shuffling
% 1.73/1.35  
% 1.73/1.35  % (3103)Memory used [KB]: 16630
% 1.73/1.35  % (3103)Time elapsed: 0.171 s
% 1.73/1.35  % (3103)Instructions burned: 276 (million)
% 1.73/1.35  % (3103)------------------------------
% 1.73/1.35  % (3103)------------------------------
% 1.73/1.35  % (3129)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2990ds/17Mi)
% 1.95/1.37  % (3130)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2990ds/3Mi)
% 1.95/1.37  % (3129)Instruction limit reached!
% 1.95/1.37  % (3129)------------------------------
% 1.95/1.37  % (3129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/1.37  % (3129)Termination reason: Unknown
% 1.95/1.37  % (3129)Termination phase: shuffling
% 1.95/1.37  
% 1.95/1.37  % (3129)Memory used [KB]: 12792
% 1.95/1.37  % (3129)Time elapsed: 0.022 s
% 1.95/1.37  % (3129)Instructions burned: 17 (million)
% 1.95/1.37  % (3129)------------------------------
% 1.95/1.37  % (3129)------------------------------
% 1.95/1.37  % (3130)Instruction limit reached!
% 1.95/1.37  % (3130)------------------------------
% 1.95/1.37  % (3130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/1.37  % (3130)Termination reason: Unknown
% 1.95/1.37  % (3130)Termination phase: shuffling
% 1.95/1.37  
% 1.95/1.37  % (3130)Memory used [KB]: 12153
% 1.95/1.37  % (3130)Time elapsed: 0.006 s
% 1.95/1.37  % (3130)Instructions burned: 3 (million)
% 1.95/1.37  % (3130)------------------------------
% 1.95/1.37  % (3130)------------------------------
% 1.95/1.39  % (3131)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2989ds/30Mi)
% 1.95/1.39  % (3132)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 (2989ds/127Mi)
% 1.95/1.41  % (3131)Instruction limit reached!
% 1.95/1.41  % (3131)------------------------------
% 1.95/1.41  % (3131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/1.41  % (3131)Termination reason: Unknown
% 1.95/1.41  % (3131)Termination phase: shuffling
% 1.95/1.41  
% 1.95/1.41  % (3131)Memory used [KB]: 12920
% 1.95/1.41  % (3131)Time elapsed: 0.029 s
% 1.95/1.41  % (3131)Instructions burned: 30 (million)
% 1.95/1.41  % (3131)------------------------------
% 1.95/1.41  % (3131)------------------------------
% 1.95/1.43  % (3133)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 (2989ds/100Mi)
% 2.05/1.47  % (3132)Instruction limit reached!
% 2.05/1.47  % (3132)------------------------------
% 2.05/1.47  % (3132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.05/1.47  % (3132)Termination reason: Unknown
% 2.05/1.47  % (3132)Termination phase: shuffling
% 2.05/1.47  
% 2.05/1.47  % (3132)Memory used [KB]: 14328
% 2.05/1.47  % (3132)Time elapsed: 0.085 s
% 2.05/1.47  % (3132)Instructions burned: 127 (million)
% 2.05/1.47  % (3132)------------------------------
% 2.05/1.47  % (3132)------------------------------
% 2.15/1.49  % (3134)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 (2988ds/3Mi)
% 2.15/1.49  % (3134)Instruction limit reached!
% 2.15/1.49  % (3134)------------------------------
% 2.15/1.49  % (3134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/1.49  % (3134)Termination reason: Unknown
% 2.15/1.49  % (3134)Termination phase: shuffling
% 2.15/1.49  
% 2.15/1.49  % (3134)Memory used [KB]: 12153
% 2.15/1.49  % (3134)Time elapsed: 0.006 s
% 2.15/1.49  % (3134)Instructions burned: 3 (million)
% 2.15/1.49  % (3134)------------------------------
% 2.15/1.49  % (3134)------------------------------
% 2.15/1.50  % (3133)Instruction limit reached!
% 2.15/1.50  % (3133)------------------------------
% 2.15/1.50  % (3133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/1.50  % (3133)Termination reason: Unknown
% 2.15/1.50  % (3133)Termination phase: shuffling
% 2.15/1.50  
% 2.15/1.50  % (3133)Memory used [KB]: 13944
% 2.15/1.50  % (3133)Time elapsed: 0.067 s
% 2.15/1.50  % (3133)Instructions burned: 101 (million)
% 2.15/1.50  % (3133)------------------------------
% 2.15/1.50  % (3133)------------------------------
% 2.15/1.51  % (3135)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 (2988ds/20Mi)
% 2.15/1.52  % (3136)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 (2988ds/86Mi)
% 2.15/1.53  % (3135)Instruction limit reached!
% 2.15/1.53  % (3135)------------------------------
% 2.15/1.53  % (3135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/1.53  % (3135)Termination reason: Unknown
% 2.15/1.53  % (3135)Termination phase: shuffling
% 2.15/1.53  
% 2.15/1.53  % (3135)Memory used [KB]: 12792
% 2.15/1.53  % (3135)Time elapsed: 0.024 s
% 2.15/1.53  % (3135)Instructions burned: 21 (million)
% 2.15/1.53  % (3135)------------------------------
% 2.15/1.53  % (3135)------------------------------
% 2.29/1.55  % (3124)Instruction limit reached!
% 2.29/1.55  % (3124)------------------------------
% 2.29/1.55  % (3124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/1.55  % (3124)Termination reason: Unknown
% 2.29/1.55  % (3124)Termination phase: shuffling
% 2.29/1.55  
% 2.29/1.55  % (3124)Memory used [KB]: 17782
% 2.29/1.55  % (3124)Time elapsed: 0.239 s
% 2.29/1.55  % (3124)Instructions burned: 377 (million)
% 2.29/1.55  % (3124)------------------------------
% 2.29/1.55  % (3124)------------------------------
% 2.29/1.55  % (3137)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 (2988ds/107Mi)
% 2.55/1.57  % (3138)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 (2988ds/39Mi)
% 2.55/1.57  % (3136)Instruction limit reached!
% 2.55/1.57  % (3136)------------------------------
% 2.55/1.57  % (3136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.55/1.57  % (3136)Termination reason: Unknown
% 2.55/1.57  % (3136)Termination phase: shuffling
% 2.55/1.57  
% 2.55/1.57  % (3136)Memory used [KB]: 13816
% 2.55/1.57  % (3136)Time elapsed: 0.060 s
% 2.55/1.57  % (3136)Instructions burned: 87 (million)
% 2.55/1.57  % (3136)------------------------------
% 2.55/1.57  % (3136)------------------------------
% 2.55/1.59  % (3139)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 (2988ds/448Mi)
% 2.55/1.60  % (3138)Instruction limit reached!
% 2.55/1.60  % (3138)------------------------------
% 2.55/1.60  % (3138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.55/1.60  % (3138)Termination reason: Unknown
% 2.55/1.60  % (3138)Termination phase: shuffling
% 2.55/1.60  
% 2.55/1.60  % (3138)Memory used [KB]: 13048
% 2.55/1.60  % (3138)Time elapsed: 0.033 s
% 2.55/1.60  % (3138)Instructions burned: 39 (million)
% 2.55/1.60  % (3138)------------------------------
% 2.55/1.60  % (3138)------------------------------
% 2.55/1.62  % (3140)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 (2987ds/46Mi)
% 2.55/1.62  % (3137)Instruction limit reached!
% 2.55/1.62  % (3137)------------------------------
% 2.55/1.62  % (3137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.55/1.62  % (3137)Termination reason: Unknown
% 2.55/1.62  % (3137)Termination phase: shuffling
% 2.55/1.62  
% 2.55/1.62  % (3137)Memory used [KB]: 14072
% 2.55/1.62  % (3137)Time elapsed: 0.074 s
% 2.55/1.62  % (3137)Instructions burned: 108 (million)
% 2.55/1.62  % (3137)------------------------------
% 2.55/1.62  % (3137)------------------------------
% 2.55/1.64  % (3141)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 (2987ds/98Mi)
% 4.65/1.66  % (3140)Instruction limit reached!
% 4.65/1.66  % (3140)------------------------------
% 4.65/1.66  % (3140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.65/1.66  % (3140)Termination reason: Unknown
% 4.65/1.66  % (3140)Termination phase: shuffling
% 4.65/1.66  
% 4.65/1.66  % (3140)Memory used [KB]: 13176
% 4.65/1.66  % (3140)Time elapsed: 0.040 s
% 4.65/1.66  % (3140)Instructions burned: 46 (million)
% 4.65/1.66  % (3140)------------------------------
% 4.65/1.66  % (3140)------------------------------
% 4.65/1.67  % (3118)Instruction limit reached!
% 4.65/1.67  % (3118)------------------------------
% 4.65/1.67  % (3118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.65/1.67  % (3118)Termination reason: Unknown
% 4.65/1.67  % (3118)Termination phase: Property scanning
% 4.65/1.67  
% 4.65/1.67  % (3118)Memory used [KB]: 21236
% 4.65/1.67  % (3118)Time elapsed: 0.422 s
% 4.65/1.67  % (3118)Instructions burned: 711 (million)
% 4.65/1.67  % (3118)------------------------------
% 4.65/1.67  % (3118)------------------------------
% 4.65/1.68  % (3142)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 (2987ds/507Mi)
% 4.98/1.69  % (3143)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 (2987ds/149Mi)
% 4.98/1.70  % (3141)Instruction limit reached!
% 4.98/1.70  % (3141)------------------------------
% 4.98/1.70  % (3141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.70  % (3141)Termination reason: Unknown
% 4.98/1.70  % (3141)Termination phase: shuffling
% 4.98/1.70  
% 4.98/1.70  % (3141)Memory used [KB]: 13944
% 4.98/1.70  % (3141)Time elapsed: 0.062 s
% 4.98/1.70  % (3141)Instructions burned: 99 (million)
% 4.98/1.70  % (3141)------------------------------
% 4.98/1.70  % (3141)------------------------------
% 4.98/1.72  % (3144)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2986ds/39Mi)
% 4.98/1.72  % (3125)Instruction limit reached!
% 4.98/1.72  % (3125)------------------------------
% 4.98/1.72  % (3125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.72  % (3125)Termination reason: Unknown
% 4.98/1.72  % (3125)Termination phase: shuffling
% 4.98/1.72  
% 4.98/1.72  % (3125)Memory used [KB]: 25330
% 4.98/1.72  % (3125)Time elapsed: 0.412 s
% 4.98/1.72  % (3125)Instructions burned: 780 (million)
% 4.98/1.72  % (3125)------------------------------
% 4.98/1.72  % (3125)------------------------------
% 4.98/1.74  % (3145)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 (2986ds/6Mi)
% 4.98/1.75  % (3145)Instruction limit reached!
% 4.98/1.75  % (3145)------------------------------
% 4.98/1.75  % (3145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.75  % (3145)Termination reason: Unknown
% 4.98/1.75  % (3145)Termination phase: shuffling
% 4.98/1.75  
% 4.98/1.75  % (3145)Memory used [KB]: 12409
% 4.98/1.75  % (3145)Time elapsed: 0.010 s
% 4.98/1.75  % (3145)Instructions burned: 6 (million)
% 4.98/1.75  % (3145)------------------------------
% 4.98/1.75  % (3145)------------------------------
% 4.98/1.75  % (3144)Instruction limit reached!
% 4.98/1.75  % (3144)------------------------------
% 4.98/1.75  % (3144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.75  % (3144)Termination reason: Unknown
% 4.98/1.75  % (3144)Termination phase: shuffling
% 4.98/1.75  
% 4.98/1.75  % (3144)Memory used [KB]: 13048
% 4.98/1.75  % (3144)Time elapsed: 0.035 s
% 4.98/1.75  % (3144)Instructions burned: 40 (million)
% 4.98/1.75  % (3144)------------------------------
% 4.98/1.75  % (3144)------------------------------
% 4.98/1.75  % (3109)Instruction limit reached!
% 4.98/1.75  % (3109)------------------------------
% 4.98/1.75  % (3109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.75  % (3109)Termination reason: Unknown
% 4.98/1.75  % (3109)Termination phase: shuffling
% 4.98/1.75  
% 4.98/1.75  % (3109)Memory used [KB]: 33005
% 4.98/1.75  % (3109)Time elapsed: 0.559 s
% 4.98/1.75  % (3109)Instructions burned: 1042 (million)
% 4.98/1.75  % (3109)------------------------------
% 4.98/1.75  % (3109)------------------------------
% 5.53/1.77  % (3147)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2986ds/47Mi)
% 5.53/1.77  % (3146)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 (2986ds/1087Mi)
% 5.53/1.77  % (3148)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 (2986ds/44Mi)
% 5.56/1.79  % (3143)Instruction limit reached!
% 5.56/1.79  % (3143)------------------------------
% 5.56/1.79  % (3143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.79  % (3143)Termination reason: Unknown
% 5.56/1.79  % (3143)Termination phase: shuffling
% 5.56/1.79  
% 5.56/1.79  % (3143)Memory used [KB]: 14711
% 5.56/1.79  % (3143)Time elapsed: 0.099 s
% 5.56/1.79  % (3143)Instructions burned: 150 (million)
% 5.56/1.79  % (3143)------------------------------
% 5.56/1.79  % (3143)------------------------------
% 5.56/1.80  % (3147)Instruction limit reached!
% 5.56/1.80  % (3147)------------------------------
% 5.56/1.80  % (3147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.80  % (3147)Termination reason: Unknown
% 5.56/1.80  % (3147)Termination phase: shuffling
% 5.56/1.80  
% 5.56/1.80  % (3147)Memory used [KB]: 13176
% 5.56/1.80  % (3147)Time elapsed: 0.038 s
% 5.56/1.80  % (3147)Instructions burned: 47 (million)
% 5.56/1.80  % (3147)------------------------------
% 5.56/1.80  % (3147)------------------------------
% 5.56/1.81  % (3148)Instruction limit reached!
% 5.56/1.81  % (3148)------------------------------
% 5.56/1.81  % (3148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.81  % (3148)Termination reason: Unknown
% 5.56/1.81  % (3148)Termination phase: shuffling
% 5.56/1.81  
% 5.56/1.81  % (3148)Memory used [KB]: 13048
% 5.56/1.81  % (3148)Time elapsed: 0.033 s
% 5.56/1.81  % (3148)Instructions burned: 44 (million)
% 5.56/1.81  % (3148)------------------------------
% 5.56/1.81  % (3148)------------------------------
% 5.56/1.81  % (3120)Instruction limit reached!
% 5.56/1.81  % (3120)------------------------------
% 5.56/1.81  % (3120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.81  % (3120)Termination reason: Unknown
% 5.56/1.81  % (3120)Termination phase: Property scanning
% 5.56/1.81  
% 5.56/1.81  % (3120)Memory used [KB]: 21364
% 5.56/1.81  % (3120)Time elapsed: 0.529 s
% 5.56/1.81  % (3120)Instructions burned: 902 (million)
% 5.56/1.81  % (3120)------------------------------
% 5.56/1.81  % (3120)------------------------------
% 5.56/1.81  % (3128)Instruction limit reached!
% 5.56/1.81  % (3128)------------------------------
% 5.56/1.81  % (3128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.81  % (3128)Termination reason: Unknown
% 5.56/1.81  % (3128)Termination phase: Property scanning
% 5.56/1.81  
% 5.56/1.81  % (3128)Memory used [KB]: 23283
% 5.56/1.81  % (3128)Time elapsed: 0.492 s
% 5.56/1.81  % (3128)Instructions burned: 879 (million)
% 5.56/1.81  % (3128)------------------------------
% 5.56/1.81  % (3128)------------------------------
% 5.87/1.81  % (3149)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 (2985ds/432Mi)
% 5.87/1.82  % (3151)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 (2985ds/31Mi)
% 5.87/1.82  % (3152)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2985ds/96Mi)
% 5.87/1.82  % (3150)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2985ds/62Mi)
% 5.93/1.83  % (3153)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 (2985ds/453Mi)
% 5.93/1.83  % (3139)Instruction limit reached!
% 5.93/1.83  % (3139)------------------------------
% 5.93/1.83  % (3139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.83  % (3139)Termination reason: Unknown
% 5.93/1.83  % (3139)Termination phase: shuffling
% 5.93/1.83  
% 5.93/1.83  % (3139)Memory used [KB]: 20852
% 5.93/1.83  % (3139)Time elapsed: 0.242 s
% 5.93/1.83  % (3139)Instructions burned: 449 (million)
% 5.93/1.83  % (3139)------------------------------
% 5.93/1.83  % (3139)------------------------------
% 5.93/1.85  % (3151)Instruction limit reached!
% 5.93/1.85  % (3151)------------------------------
% 5.93/1.85  % (3151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.85  % (3151)Termination reason: Unknown
% 5.93/1.85  % (3151)Termination phase: shuffling
% 5.93/1.85  
% 5.93/1.85  % (3151)Memory used [KB]: 12920
% 5.93/1.85  % (3151)Time elapsed: 0.030 s
% 5.93/1.85  % (3151)Instructions burned: 31 (million)
% 5.93/1.85  % (3151)------------------------------
% 5.93/1.85  % (3151)------------------------------
% 5.93/1.85  % (3154)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 (2985ds/71Mi)
% 5.93/1.86  % (3150)Instruction limit reached!
% 5.93/1.86  % (3150)------------------------------
% 5.93/1.86  % (3150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.86  % (3150)Termination reason: Unknown
% 5.93/1.86  % (3150)Termination phase: shuffling
% 5.93/1.86  
% 5.93/1.86  % (3150)Memory used [KB]: 13432
% 5.93/1.86  % (3150)Time elapsed: 0.042 s
% 5.93/1.86  % (3150)Instructions burned: 62 (million)
% 5.93/1.86  % (3150)------------------------------
% 5.93/1.86  % (3150)------------------------------
% 5.93/1.87  % (3155)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2985ds/83Mi)
% 5.93/1.88  % (3156)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2985ds/11Mi)
% 5.93/1.88  % (3152)Instruction limit reached!
% 5.93/1.88  % (3152)------------------------------
% 5.93/1.88  % (3152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.88  % (3152)Termination reason: Unknown
% 5.93/1.88  % (3152)Termination phase: shuffling
% 5.93/1.88  
% 5.93/1.88  % (3152)Memory used [KB]: 13944
% 5.93/1.88  % (3152)Time elapsed: 0.064 s
% 5.93/1.88  % (3152)Instructions burned: 96 (million)
% 5.93/1.88  % (3152)------------------------------
% 5.93/1.88  % (3152)------------------------------
% 5.93/1.90  % (3156)Instruction limit reached!
% 5.93/1.90  % (3156)------------------------------
% 5.93/1.90  % (3156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.90  % (3156)Termination reason: Unknown
% 5.93/1.90  % (3156)Termination phase: shuffling
% 5.93/1.90  
% 5.93/1.90  % (3156)Memory used [KB]: 12792
% 5.93/1.90  % (3156)Time elapsed: 0.017 s
% 5.93/1.90  % (3156)Instructions burned: 11 (million)
% 5.93/1.90  % (3156)------------------------------
% 5.93/1.90  % (3156)------------------------------
% 5.93/1.90  % (3157)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 (2984ds/41Mi)
% 5.93/1.90  % (3154)Instruction limit reached!
% 5.93/1.90  % (3154)------------------------------
% 5.93/1.90  % (3154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.90  % (3154)Termination reason: Unknown
% 5.93/1.90  % (3154)Termination phase: shuffling
% 5.93/1.90  
% 5.93/1.90  % (3154)Memory used [KB]: 13432
% 5.93/1.90  % (3154)Time elapsed: 0.053 s
% 5.93/1.90  % (3154)Instructions burned: 71 (million)
% 5.93/1.90  % (3154)------------------------------
% 5.93/1.90  % (3154)------------------------------
% 6.22/1.92  % (3158)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2984ds/6Mi)
% 6.22/1.92  % (3159)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2984ds/150Mi)
% 6.22/1.92  % (3158)Instruction limit reached!
% 6.22/1.92  % (3158)------------------------------
% 6.22/1.92  % (3158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.22/1.92  % (3158)Termination reason: Unknown
% 6.22/1.92  % (3158)Termination phase: shuffling
% 6.22/1.92  
% 6.22/1.92  % (3158)Memory used [KB]: 12409
% 6.22/1.92  % (3158)Time elapsed: 0.010 s
% 6.22/1.92  % (3158)Instructions burned: 6 (million)
% 6.22/1.92  % (3158)------------------------------
% 6.22/1.92  % (3158)------------------------------
% 6.22/1.93  % (3155)Instruction limit reached!
% 6.22/1.93  % (3155)------------------------------
% 6.22/1.93  % (3155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.22/1.93  % (3155)Termination reason: Unknown
% 6.22/1.93  % (3155)Termination phase: shuffling
% 6.22/1.93  
% 6.22/1.93  % (3155)Memory used [KB]: 13688
% 6.22/1.93  % (3155)Time elapsed: 0.060 s
% 6.22/1.93  % (3155)Instructions burned: 84 (million)
% 6.22/1.93  % (3155)------------------------------
% 6.22/1.93  % (3155)------------------------------
% 6.22/1.93  % (3157)Instruction limit reached!
% 6.22/1.93  % (3157)------------------------------
% 6.22/1.93  % (3157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.22/1.93  % (3157)Termination reason: Unknown
% 6.22/1.93  % (3157)Termination phase: shuffling
% 6.22/1.93  
% 6.22/1.93  % (3157)Memory used [KB]: 13048
% 6.22/1.93  % (3157)Time elapsed: 0.032 s
% 6.22/1.93  % (3157)Instructions burned: 42 (million)
% 6.22/1.93  % (3157)------------------------------
% 6.22/1.93  % (3157)------------------------------
% 6.22/1.94  % (3160)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 (2984ds/343Mi)
% 6.22/1.94  % (3161)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 (2984ds/109Mi)
% 6.22/1.95  % (3162)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 (2984ds/253Mi)
% 6.38/2.00  % (3142)Instruction limit reached!
% 6.38/2.00  % (3142)------------------------------
% 6.38/2.00  % (3142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/2.00  % (3142)Termination reason: Unknown
% 6.38/2.00  % (3142)Termination phase: shuffling
% 6.38/2.00  
% 6.38/2.00  % (3142)Memory used [KB]: 19317
% 6.38/2.00  % (3142)Time elapsed: 0.325 s
% 6.38/2.00  % (3142)Instructions burned: 507 (million)
% 6.38/2.00  % (3142)------------------------------
% 6.38/2.00  % (3142)------------------------------
% 6.38/2.02  % (3161)Instruction limit reached!
% 6.38/2.02  % (3161)------------------------------
% 6.38/2.02  % (3161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/2.02  % (3161)Termination reason: Unknown
% 6.38/2.02  % (3161)Termination phase: shuffling
% 6.38/2.02  
% 6.38/2.02  % (3161)Memory used [KB]: 14072
% 6.38/2.02  % (3161)Time elapsed: 0.075 s
% 6.38/2.02  % (3161)Instructions burned: 109 (million)
% 6.38/2.02  % (3161)------------------------------
% 6.38/2.02  % (3161)------------------------------
% 6.38/2.02  % (3159)Instruction limit reached!
% 6.38/2.02  % (3159)------------------------------
% 6.38/2.02  % (3159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/2.02  % (3159)Termination reason: Unknown
% 6.38/2.02  % (3159)Termination phase: shuffling
% 6.38/2.02  
% 6.38/2.02  % (3159)Memory used [KB]: 14583
% 6.38/2.02  % (3159)Time elapsed: 0.098 s
% 6.38/2.02  % (3159)Instructions burned: 150 (million)
% 6.38/2.02  % (3159)------------------------------
% 6.38/2.02  % (3159)------------------------------
% 6.38/2.02  % (3163)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2983ds/140Mi)
% 6.38/2.03  % (3164)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 (2983ds/614Mi)
% 6.38/2.04  % (3165)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 (2983ds/202Mi)
% 6.38/2.05  % (3149)Instruction limit reached!
% 6.38/2.05  % (3149)------------------------------
% 6.38/2.05  % (3149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/2.05  % (3149)Termination reason: Unknown
% 6.38/2.05  % (3149)Termination phase: shuffling
% 6.38/2.05  
% 6.38/2.05  % (3149)Memory used [KB]: 20724
% 6.38/2.05  % (3149)Time elapsed: 0.244 s
% 6.38/2.05  % (3149)Instructions burned: 433 (million)
% 6.38/2.05  % (3149)------------------------------
% 6.38/2.05  % (3149)------------------------------
% 7.19/2.07  % (3166)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 (2983ds/339Mi)
% 7.19/2.08  % (3153)Instruction limit reached!
% 7.19/2.08  % (3153)------------------------------
% 7.19/2.08  % (3153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/2.08  % (3153)Termination reason: Unknown
% 7.19/2.08  % (3153)Termination phase: shuffling
% 7.19/2.08  
% 7.19/2.08  % (3153)Memory used [KB]: 20980
% 7.19/2.08  % (3153)Time elapsed: 0.254 s
% 7.19/2.08  % (3153)Instructions burned: 453 (million)
% 7.19/2.08  % (3153)------------------------------
% 7.19/2.08  % (3153)------------------------------
% 7.19/2.10  % (3167)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 (2982ds/283Mi)
% 7.19/2.10  % (3162)Instruction limit reached!
% 7.19/2.10  % (3162)------------------------------
% 7.19/2.10  % (3162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/2.10  % (3162)Termination reason: Unknown
% 7.19/2.10  % (3162)Termination phase: shuffling
% 7.19/2.10  
% 7.19/2.10  % (3162)Memory used [KB]: 16375
% 7.19/2.10  % (3162)Time elapsed: 0.156 s
% 7.19/2.10  % (3162)Instructions burned: 254 (million)
% 7.19/2.10  % (3162)------------------------------
% 7.19/2.10  % (3162)------------------------------
% 7.63/2.12  % (3163)Instruction limit reached!
% 7.63/2.12  % (3163)------------------------------
% 7.63/2.12  % (3163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.63/2.12  % (3163)Termination reason: Unknown
% 7.63/2.12  % (3163)Termination phase: shuffling
% 7.63/2.12  
% 7.63/2.12  % (3163)Memory used [KB]: 14456
% 7.63/2.12  % (3163)Time elapsed: 0.099 s
% 7.63/2.12  % (3163)Instructions burned: 140 (million)
% 7.63/2.12  % (3163)------------------------------
% 7.63/2.12  % (3163)------------------------------
% 7.63/2.12  % (3168)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 (2982ds/134Mi)
% 7.63/2.14  % (3169)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2982ds/298Mi)
% 7.63/2.15  % (3160)Instruction limit reached!
% 7.63/2.15  % (3160)------------------------------
% 7.63/2.15  % (3160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.63/2.15  % (3160)Termination reason: Unknown
% 7.63/2.15  % (3160)Termination phase: shuffling
% 7.63/2.15  
% 7.63/2.15  % (3160)Memory used [KB]: 17270
% 7.63/2.15  % (3160)Time elapsed: 0.211 s
% 7.63/2.15  % (3160)Instructions burned: 344 (million)
% 7.63/2.15  % (3160)------------------------------
% 7.63/2.15  % (3160)------------------------------
% 8.76/2.17  % (3170)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2982ds/192Mi)
% 8.76/2.19  % (3165)Instruction limit reached!
% 8.76/2.19  % (3165)------------------------------
% 8.76/2.19  % (3165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.76/2.19  % (3165)Termination reason: Unknown
% 8.76/2.19  % (3165)Termination phase: shuffling
% 8.76/2.19  
% 8.76/2.19  % (3165)Memory used [KB]: 15479
% 8.76/2.19  % (3165)Time elapsed: 0.135 s
% 8.76/2.19  % (3165)Instructions burned: 202 (million)
% 8.76/2.19  % (3165)------------------------------
% 8.76/2.19  % (3165)------------------------------
% 8.76/2.21  % (3171)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 (2981ds/258Mi)
% 8.76/2.21  % (3168)Instruction limit reached!
% 8.76/2.21  % (3168)------------------------------
% 8.76/2.21  % (3168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.76/2.21  % (3168)Termination reason: Unknown
% 8.76/2.21  % (3168)Termination phase: shuffling
% 8.76/2.21  
% 8.76/2.21  % (3168)Memory used [KB]: 14456
% 8.76/2.21  % (3168)Time elapsed: 0.093 s
% 8.76/2.21  % (3168)Instructions burned: 135 (million)
% 8.76/2.21  % (3168)------------------------------
% 8.76/2.21  % (3168)------------------------------
% 8.76/2.23  % (3172)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 (2981ds/90Mi)
% 9.36/2.26  % (3167)Instruction limit reached!
% 9.36/2.26  % (3167)------------------------------
% 9.36/2.26  % (3167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.36/2.26  % (3167)Termination reason: Unknown
% 9.36/2.26  % (3167)Termination phase: shuffling
% 9.36/2.26  
% 9.36/2.26  % (3167)Memory used [KB]: 18549
% 9.36/2.26  % (3167)Time elapsed: 0.164 s
% 9.36/2.26  % (3167)Instructions burned: 284 (million)
% 9.36/2.26  % (3167)------------------------------
% 9.36/2.26  % (3167)------------------------------
% 9.36/2.29  % (3173)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 (2981ds/231Mi)
% 9.36/2.29  % (3166)Instruction limit reached!
% 9.36/2.29  % (3166)------------------------------
% 9.36/2.29  % (3166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.36/2.29  % (3166)Termination reason: Unknown
% 9.36/2.29  % (3166)Termination phase: shuffling
% 9.36/2.29  
% 9.36/2.29  % (3166)Memory used [KB]: 17270
% 9.36/2.29  % (3166)Time elapsed: 0.216 s
% 9.36/2.29  % (3166)Instructions burned: 339 (million)
% 9.36/2.29  % (3166)------------------------------
% 9.36/2.29  % (3166)------------------------------
% 9.36/2.29  % (3170)Instruction limit reached!
% 9.36/2.29  % (3170)------------------------------
% 9.36/2.29  % (3170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.36/2.29  % (3170)Termination reason: Unknown
% 9.36/2.29  % (3170)Termination phase: shuffling
% 9.36/2.29  
% 9.36/2.29  % (3170)Memory used [KB]: 15351
% 9.36/2.29  % (3170)Time elapsed: 0.123 s
% 9.36/2.29  % (3170)Instructions burned: 192 (million)
% 9.36/2.29  % (3170)------------------------------
% 9.36/2.29  % (3170)------------------------------
% 9.36/2.30  % (3172)Instruction limit reached!
% 9.36/2.30  % (3172)------------------------------
% 9.36/2.30  % (3172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.36/2.30  % (3172)Termination reason: Unknown
% 9.36/2.30  % (3172)Termination phase: shuffling
% 9.36/2.30  
% 9.36/2.30  % (3172)Memory used [KB]: 13816
% 9.36/2.30  % (3172)Time elapsed: 0.068 s
% 9.36/2.30  % (3172)Instructions burned: 91 (million)
% 9.36/2.30  % (3172)------------------------------
% 9.36/2.30  % (3172)------------------------------
% 9.36/2.31  % (3174)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 (2980ds/458Mi)
% 9.88/2.31  % (3175)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 (2980ds/31Mi)
% 9.88/2.31  % (3169)Instruction limit reached!
% 9.88/2.31  % (3169)------------------------------
% 9.88/2.31  % (3169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.88/2.31  % (3169)Termination reason: Unknown
% 9.88/2.31  % (3169)Termination phase: shuffling
% 9.88/2.31  
% 9.88/2.31  % (3169)Memory used [KB]: 18805
% 9.88/2.31  % (3169)Time elapsed: 0.179 s
% 9.88/2.31  % (3169)Instructions burned: 299 (million)
% 9.88/2.31  % (3169)------------------------------
% 9.88/2.31  % (3169)------------------------------
% 9.88/2.32  % (3176)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 (2980ds/297Mi)
% 9.88/2.34  % (3177)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 (2980ds/987Mi)
% 9.88/2.34  % (3175)Instruction limit reached!
% 9.88/2.34  % (3175)------------------------------
% 9.88/2.34  % (3175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.88/2.34  % (3175)Termination reason: Unknown
% 9.88/2.34  % (3175)Termination phase: shuffling
% 9.88/2.34  
% 9.88/2.34  % (3175)Memory used [KB]: 12920
% 9.88/2.34  % (3175)Time elapsed: 0.031 s
% 9.88/2.34  % (3175)Instructions burned: 31 (million)
% 9.88/2.34  % (3175)------------------------------
% 9.88/2.34  % (3175)------------------------------
% 9.88/2.36  % (3178)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 (2980ds/182Mi)
% 10.05/2.37  % (3171)Instruction limit reached!
% 10.05/2.37  % (3171)------------------------------
% 10.05/2.37  % (3171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.05/2.37  % (3171)Termination reason: Unknown
% 10.05/2.37  % (3171)Termination phase: shuffling
% 10.05/2.37  
% 10.05/2.37  % (3171)Memory used [KB]: 16119
% 10.05/2.37  % (3171)Time elapsed: 0.163 s
% 10.05/2.37  % (3171)Instructions burned: 258 (million)
% 10.05/2.37  % (3171)------------------------------
% 10.05/2.37  % (3171)------------------------------
% 10.05/2.39  % (3179)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 (2980ds/182Mi)
% 10.05/2.39  % (3146)Instruction limit reached!
% 10.05/2.39  % (3146)------------------------------
% 10.05/2.39  % (3146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.05/2.39  % (3146)Termination reason: Unknown
% 10.05/2.39  % (3146)Termination phase: Property scanning
% 10.05/2.39  
% 10.05/2.39  % (3146)Memory used [KB]: 21236
% 10.05/2.39  % (3146)Time elapsed: 0.623 s
% 10.05/2.39  % (3146)Instructions burned: 1088 (million)
% 10.05/2.39  % (3146)------------------------------
% 10.05/2.39  % (3146)------------------------------
% 10.05/2.40  % (3164)Instruction limit reached!
% 10.05/2.40  % (3164)------------------------------
% 10.05/2.40  % (3164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.05/2.40  % (3164)Termination reason: Unknown
% 10.05/2.40  % (3164)Termination phase: shuffling
% 10.05/2.40  
% 10.05/2.40  % (3164)Memory used [KB]: 23027
% 10.05/2.40  % (3164)Time elapsed: 0.371 s
% 10.05/2.40  % (3164)Instructions burned: 614 (million)
% 10.05/2.40  % (3164)------------------------------
% 10.05/2.40  % (3164)------------------------------
% 10.05/2.41  % (3180)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 (2979ds/154Mi)
% 10.05/2.42  % (3173)Instruction limit reached!
% 10.05/2.42  % (3173)------------------------------
% 10.05/2.42  % (3173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.05/2.42  % (3173)Termination reason: Unknown
% 10.05/2.42  % (3173)Termination phase: shuffling
% 10.05/2.42  
% 10.05/2.42  % (3173)Memory used [KB]: 15863
% 10.05/2.42  % (3173)Time elapsed: 0.136 s
% 10.05/2.42  % (3173)Instructions burned: 231 (million)
% 10.05/2.42  % (3173)------------------------------
% 10.05/2.42  % (3173)------------------------------
% 10.05/2.42  % (3181)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 (2979ds/79Mi)
% 10.05/2.44  % (3182)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 (2979ds/216Mi)
% 10.49/2.48  % (3178)Instruction limit reached!
% 10.49/2.48  % (3178)------------------------------
% 10.49/2.48  % (3178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.49/2.48  % (3178)Termination reason: Unknown
% 10.49/2.48  % (3178)Termination phase: shuffling
% 10.49/2.48  
% 10.49/2.48  % (3178)Memory used [KB]: 15095
% 10.49/2.48  % (3178)Time elapsed: 0.124 s
% 10.49/2.48  % (3178)Instructions burned: 182 (million)
% 10.49/2.48  % (3178)------------------------------
% 10.49/2.48  % (3178)------------------------------
% 10.63/2.48  % (3181)Instruction limit reached!
% 10.63/2.48  % (3181)------------------------------
% 10.63/2.48  % (3181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.63/2.48  % (3181)Termination reason: Unknown
% 10.63/2.48  % (3181)Termination phase: shuffling
% 10.63/2.48  
% 10.63/2.48  % (3181)Memory used [KB]: 13688
% 10.63/2.48  % (3181)Time elapsed: 0.061 s
% 10.63/2.48  % (3181)Instructions burned: 80 (million)
% 10.63/2.48  % (3181)------------------------------
% 10.63/2.48  % (3181)------------------------------
% 10.63/2.49  % (3176)Instruction limit reached!
% 10.63/2.49  % (3176)------------------------------
% 10.63/2.49  % (3176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.63/2.49  % (3176)Termination reason: Unknown
% 10.63/2.49  % (3176)Termination phase: shuffling
% 10.63/2.49  
% 10.63/2.49  % (3176)Memory used [KB]: 18805
% 10.63/2.49  % (3176)Time elapsed: 0.170 s
% 10.63/2.49  % (3176)Instructions burned: 297 (million)
% 10.63/2.49  % (3176)------------------------------
% 10.63/2.49  % (3176)------------------------------
% 10.63/2.50  % (3183)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 (2978ds/114Mi)
% 10.63/2.50  % (3184)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 (2978ds/922Mi)
% 10.63/2.51  % (3179)Instruction limit reached!
% 10.63/2.51  % (3179)------------------------------
% 10.63/2.51  % (3179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.63/2.51  % (3179)Termination reason: Unknown
% 10.63/2.51  % (3179)Termination phase: shuffling
% 10.63/2.51  
% 10.63/2.51  % (3179)Memory used [KB]: 15223
% 10.63/2.51  % (3185)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 (2978ds/182Mi)
% 10.63/2.51  % (3179)Time elapsed: 0.117 s
% 10.63/2.51  % (3179)Instructions burned: 182 (million)
% 10.63/2.51  % (3179)------------------------------
% 10.63/2.51  % (3179)------------------------------
% 10.63/2.51  % (3180)Instruction limit reached!
% 10.63/2.51  % (3180)------------------------------
% 10.63/2.51  % (3180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.63/2.51  % (3180)Termination reason: Unknown
% 10.63/2.51  % (3180)Termination phase: shuffling
% 10.63/2.51  
% 10.63/2.51  % (3180)Memory used [KB]: 14711
% 10.63/2.51  % (3180)Time elapsed: 0.097 s
% 10.63/2.51  % (3180)Instructions burned: 155 (million)
% 10.63/2.51  % (3180)------------------------------
% 10.63/2.51  % (3180)------------------------------
% 10.63/2.53  % (3186)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 (2978ds/164Mi)
% 11.15/2.53  % (3187)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 (2978ds/50Mi)
% 11.15/2.56  % (3182)Instruction limit reached!
% 11.15/2.56  % (3182)------------------------------
% 11.15/2.56  % (3182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/2.56  % (3182)Termination reason: Unknown
% 11.15/2.56  % (3182)Termination phase: shuffling
% 11.15/2.56  
% 11.15/2.56  % (3182)Memory used [KB]: 15607
% 11.15/2.56  % (3182)Time elapsed: 0.125 s
% 11.15/2.56  % (3182)Instructions burned: 217 (million)
% 11.15/2.56  % (3182)------------------------------
% 11.15/2.56  % (3182)------------------------------
% 11.15/2.57  % (3187)Instruction limit reached!
% 11.15/2.57  % (3187)------------------------------
% 11.15/2.57  % (3187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/2.57  % (3187)Termination reason: Unknown
% 11.15/2.57  % (3187)Termination phase: shuffling
% 11.15/2.57  
% 11.15/2.57  % (3187)Memory used [KB]: 13176
% 11.15/2.57  % (3187)Time elapsed: 0.041 s
% 11.15/2.57  % (3187)Instructions burned: 51 (million)
% 11.15/2.57  % (3187)------------------------------
% 11.15/2.57  % (3187)------------------------------
% 11.15/2.57  % (3183)Instruction limit reached!
% 11.15/2.57  % (3183)------------------------------
% 11.15/2.57  % (3183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/2.57  % (3183)Termination reason: Unknown
% 11.15/2.57  % (3183)Termination phase: shuffling
% 11.15/2.57  
% 11.15/2.57  % (3183)Memory used [KB]: 14200
% 11.15/2.57  % (3183)Time elapsed: 0.076 s
% 11.15/2.57  % (3183)Instructions burned: 114 (million)
% 11.15/2.57  % (3183)------------------------------
% 11.15/2.57  % (3183)------------------------------
% 11.15/2.58  % (3188)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 (2978ds/368Mi)
% 11.15/2.58  % (3174)Instruction limit reached!
% 11.15/2.58  % (3174)------------------------------
% 11.15/2.58  % (3174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/2.58  % (3174)Termination reason: Unknown
% 11.15/2.58  % (3174)Termination phase: shuffling
% 11.15/2.58  
% 11.15/2.58  % (3174)Memory used [KB]: 18933
% 11.15/2.58  % (3174)Time elapsed: 0.276 s
% 11.15/2.58  % (3174)Instructions burned: 458 (million)
% 11.15/2.58  % (3174)------------------------------
% 11.15/2.58  % (3174)------------------------------
% 11.15/2.59  % (3189)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 (2978ds/1021Mi)
% 11.15/2.59  % (3190)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 (2978ds/267Mi)
% 11.15/2.60  % (3191)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 (2977ds/204Mi)
% 11.73/2.62  % (3185)Instruction limit reached!
% 11.73/2.62  % (3185)------------------------------
% 11.73/2.62  % (3185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.73/2.62  % (3185)Termination reason: Unknown
% 11.73/2.62  % (3185)Termination phase: shuffling
% 11.73/2.62  
% 11.73/2.62  % (3185)Memory used [KB]: 15095
% 11.73/2.62  % (3185)Time elapsed: 0.114 s
% 11.73/2.62  % (3185)Instructions burned: 183 (million)
% 11.73/2.62  % (3185)------------------------------
% 11.73/2.62  % (3185)------------------------------
% 11.73/2.62  % (3186)Instruction limit reached!
% 11.73/2.62  % (3186)------------------------------
% 11.73/2.62  % (3186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.73/2.62  % (3186)Termination reason: Unknown
% 11.73/2.62  % (3186)Termination phase: shuffling
% 11.73/2.62  
% 11.73/2.62  % (3186)Memory used [KB]: 14839
% 11.73/2.62  % (3186)Time elapsed: 0.099 s
% 11.73/2.62  % (3186)Instructions burned: 164 (million)
% 11.73/2.62  % (3186)------------------------------
% 11.73/2.62  % (3186)------------------------------
% 11.73/2.64  % (3192)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)
% 11.73/2.64  % (3193)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 (2977ds/53Mi)
% 11.73/2.66  % (3192)Instruction limit reached!
% 11.73/2.66  % (3192)------------------------------
% 11.73/2.66  % (3192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.73/2.66  % (3192)Termination reason: Unknown
% 11.73/2.66  % (3192)Termination phase: shuffling
% 11.73/2.66  
% 11.73/2.66  % (3192)Memory used [KB]: 12792
% 11.73/2.66  % (3192)Time elapsed: 0.024 s
% 11.73/2.66  % (3192)Instructions burned: 26 (million)
% 11.73/2.66  % (3192)------------------------------
% 11.73/2.66  % (3192)------------------------------
% 12.01/2.68  % (3194)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 (2977ds/4436Mi)
% 12.01/2.68  % (3193)Instruction limit reached!
% 12.01/2.68  % (3193)------------------------------
% 12.01/2.68  % (3193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.01/2.68  % (3193)Termination reason: Unknown
% 12.01/2.68  % (3193)Termination phase: shuffling
% 12.01/2.68  
% 12.01/2.68  % (3193)Memory used [KB]: 13304
% 12.01/2.68  % (3193)Time elapsed: 0.043 s
% 12.01/2.68  % (3193)Instructions burned: 53 (million)
% 12.01/2.68  % (3193)------------------------------
% 12.01/2.68  % (3193)------------------------------
% 12.01/2.70  % (3195)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 (2976ds/1539Mi)
% 12.01/2.72  % (3191)Instruction limit reached!
% 12.01/2.72  % (3191)------------------------------
% 12.01/2.72  % (3191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.01/2.72  % (3191)Termination reason: Unknown
% 12.01/2.72  % (3191)Termination phase: shuffling
% 12.01/2.72  
% 12.01/2.72  % (3191)Memory used [KB]: 15479
% 12.01/2.72  % (3191)Time elapsed: 0.124 s
% 12.01/2.72  % (3191)Instructions burned: 205 (million)
% 12.01/2.72  % (3191)------------------------------
% 12.01/2.72  % (3191)------------------------------
% 12.01/2.73  % (3190)Instruction limit reached!
% 12.01/2.73  % (3190)------------------------------
% 12.01/2.73  % (3190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.01/2.73  % (3190)Termination reason: Unknown
% 12.01/2.73  % (3190)Termination phase: shuffling
% 12.01/2.73  
% 12.01/2.73  % (3190)Memory used [KB]: 16375
% 12.01/2.73  % (3190)Time elapsed: 0.144 s
% 12.01/2.73  % (3190)Instructions burned: 267 (million)
% 12.01/2.73  % (3190)------------------------------
% 12.01/2.73  % (3190)------------------------------
% 12.01/2.74  % (3196)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 (2976ds/408Mi)
% 12.01/2.75  % (3197)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 (2976ds/5205Mi)
% 12.37/2.80  % (3188)Instruction limit reached!
% 12.37/2.80  % (3188)------------------------------
% 12.37/2.80  % (3188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.37/2.80  % (3188)Termination reason: Unknown
% 12.37/2.80  % (3188)Termination phase: shuffling
% 12.37/2.80  
% 12.37/2.80  % (3188)Memory used [KB]: 17654
% 12.37/2.80  % (3188)Time elapsed: 0.223 s
% 12.37/2.80  % (3188)Instructions burned: 368 (million)
% 12.37/2.80  % (3188)------------------------------
% 12.37/2.80  % (3188)------------------------------
% 14.03/2.82  % (3198)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 (2975ds/1913Mi)
% 14.49/2.90  % (3177)Instruction limit reached!
% 14.49/2.90  % (3177)------------------------------
% 14.49/2.90  % (3177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.49/2.90  % (3177)Termination reason: Unknown
% 14.49/2.90  % (3177)Termination phase: shuffling
% 14.49/2.90  
% 14.49/2.90  % (3177)Memory used [KB]: 32238
% 14.49/2.90  % (3177)Time elapsed: 0.563 s
% 14.49/2.90  % (3177)Instructions burned: 987 (million)
% 14.49/2.90  % (3177)------------------------------
% 14.49/2.90  % (3177)------------------------------
% 14.70/2.92  % (3199)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 (2974ds/4350Mi)
% 14.84/2.99  % (3196)Instruction limit reached!
% 14.84/2.99  % (3196)------------------------------
% 14.84/2.99  % (3196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.84/2.99  % (3196)Termination reason: Unknown
% 14.84/2.99  % (3196)Termination phase: shuffling
% 14.84/2.99  
% 14.84/2.99  % (3196)Memory used [KB]: 18549
% 14.84/2.99  % (3196)Time elapsed: 0.251 s
% 14.84/2.99  % (3196)Instructions burned: 409 (million)
% 14.84/2.99  % (3196)------------------------------
% 14.84/2.99  % (3196)------------------------------
% 14.84/3.01  % (3200)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 (2973ds/68Mi)
% 15.35/3.06  % (3184)Instruction limit reached!
% 15.35/3.06  % (3184)------------------------------
% 15.35/3.06  % (3184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.35/3.06  % (3184)Termination reason: Unknown
% 15.35/3.06  % (3184)Termination phase: Property scanning
% 15.35/3.06  
% 15.35/3.06  % (3184)Memory used [KB]: 21364
% 15.35/3.06  % (3184)Time elapsed: 0.558 s
% 15.35/3.06  % (3184)Instructions burned: 922 (million)
% 15.35/3.06  % (3184)------------------------------
% 15.35/3.06  % (3184)------------------------------
% 15.35/3.07  % (3200)Instruction limit reached!
% 15.35/3.07  % (3200)------------------------------
% 15.35/3.07  % (3200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.35/3.07  % (3200)Termination reason: Unknown
% 15.35/3.07  % (3200)Termination phase: shuffling
% 15.35/3.07  
% 15.35/3.07  % (3200)Memory used [KB]: 13432
% 15.35/3.07  % (3200)Time elapsed: 0.056 s
% 15.35/3.07  % (3200)Instructions burned: 68 (million)
% 15.35/3.07  % (3200)------------------------------
% 15.35/3.07  % (3200)------------------------------
% 15.35/3.08  % (3201)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 (2973ds/358Mi)
% 15.73/3.08  % (3202)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 (2973ds/31Mi)
% 15.73/3.11  % (3202)Instruction limit reached!
% 15.73/3.11  % (3202)------------------------------
% 15.73/3.11  % (3202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.73/3.11  % (3202)Termination reason: Unknown
% 15.73/3.11  % (3202)Termination phase: shuffling
% 15.73/3.11  
% 15.73/3.11  % (3202)Memory used [KB]: 12920
% 15.73/3.11  % (3202)Time elapsed: 0.031 s
% 15.73/3.11  % (3202)Instructions burned: 32 (million)
% 15.73/3.11  % (3202)------------------------------
% 15.73/3.11  % (3202)------------------------------
% 15.73/3.13  % (3203)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2972ds/279Mi)
% 16.09/3.17  % (3189)Instruction limit reached!
% 16.09/3.17  % (3189)------------------------------
% 16.09/3.17  % (3189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/3.17  % (3189)Termination reason: Unknown
% 16.09/3.17  % (3189)Termination phase: Property scanning
% 16.09/3.17  
% 16.09/3.17  % (3189)Memory used [KB]: 21364
% 16.09/3.17  % (3189)Time elapsed: 0.589 s
% 16.09/3.17  % (3189)Instructions burned: 1022 (million)
% 16.09/3.17  % (3189)------------------------------
% 16.09/3.17  % (3189)------------------------------
% 16.14/3.19  % (3204)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2971ds/258Mi)
% 16.34/3.29  % (3201)Instruction limit reached!
% 16.34/3.29  % (3201)------------------------------
% 16.34/3.29  % (3201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.34/3.29  % (3201)Termination reason: Unknown
% 16.34/3.29  % (3201)Termination phase: shuffling
% 16.34/3.29  
% 16.34/3.29  % (3201)Memory used [KB]: 17654
% 16.34/3.29  % (3201)Time elapsed: 0.218 s
% 16.34/3.29  % (3201)Instructions burned: 358 (million)
% 16.34/3.29  % (3201)------------------------------
% 16.34/3.29  % (3201)------------------------------
% 16.34/3.29  % (3203)Instruction limit reached!
% 16.34/3.29  % (3203)------------------------------
% 16.34/3.29  % (3203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.34/3.29  % (3203)Termination reason: Unknown
% 16.34/3.29  % (3203)Termination phase: shuffling
% 16.34/3.29  
% 16.34/3.29  % (3203)Memory used [KB]: 18549
% 16.34/3.29  % (3203)Time elapsed: 0.166 s
% 16.34/3.29  % (3203)Instructions burned: 279 (million)
% 16.34/3.29  % (3203)------------------------------
% 16.34/3.29  % (3203)------------------------------
% 16.34/3.31  % (3206)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 (2970ds/995Mi)
% 16.34/3.31  % (3205)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 (2970ds/26Mi)
% 16.34/3.34  % (3205)Instruction limit reached!
% 16.34/3.34  % (3205)------------------------------
% 16.34/3.34  % (3205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.34/3.34  % (3205)Termination reason: Unknown
% 16.34/3.34  % (3205)Termination phase: shuffling
% 16.34/3.34  
% 16.34/3.34  % (3205)Memory used [KB]: 12792
% 16.34/3.34  % (3205)Time elapsed: 0.027 s
% 16.34/3.34  % (3205)Instructions burned: 27 (million)
% 16.34/3.34  % (3205)------------------------------
% 16.34/3.34  % (3205)------------------------------
% 18.24/3.36  % (3207)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 (2970ds/373Mi)
% 18.24/3.36  % (3204)Instruction limit reached!
% 18.24/3.36  % (3204)------------------------------
% 18.24/3.36  % (3204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.24/3.36  % (3204)Termination reason: Unknown
% 18.24/3.36  % (3204)Termination phase: shuffling
% 18.24/3.36  
% 18.24/3.36  % (3204)Memory used [KB]: 16119
% 18.24/3.36  % (3204)Time elapsed: 0.164 s
% 18.24/3.36  % (3204)Instructions burned: 259 (million)
% 18.24/3.36  % (3204)------------------------------
% 18.24/3.36  % (3204)------------------------------
% 18.24/3.38  % (3208)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 (2970ds/253Mi)
% 19.15/3.52  % (3194)First to succeed.
% 19.15/3.53  % (3208)Instruction limit reached!
% 19.15/3.53  % (3208)------------------------------
% 19.15/3.53  % (3208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.15/3.53  % (3208)Termination reason: Unknown
% 19.15/3.53  % (3208)Termination phase: shuffling
% 19.15/3.53  
% 19.15/3.53  % (3208)Memory used [KB]: 16119
% 19.15/3.53  % (3208)Time elapsed: 0.151 s
% 19.15/3.53  % (3208)Instructions burned: 253 (million)
% 19.15/3.53  % (3208)------------------------------
% 19.15/3.53  % (3208)------------------------------
% 19.15/3.53  % (3194)Refutation found. Thanks to Tanya!
% 19.15/3.53  % SZS status Theorem for theBenchmark
% 19.15/3.53  % SZS output start Proof for theBenchmark
% See solution above
% 19.15/3.54  % (3194)------------------------------
% 19.15/3.54  % (3194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.15/3.54  % (3194)Termination reason: Refutation
% 19.15/3.54  
% 19.15/3.54  % (3194)Memory used [KB]: 27121
% 19.15/3.54  % (3194)Time elapsed: 0.854 s
% 19.15/3.54  % (3194)Instructions burned: 1444 (million)
% 19.15/3.54  % (3194)------------------------------
% 19.15/3.54  % (3194)------------------------------
% 19.15/3.54  % (3097)Success in time 3.164 s
% 19.15/3.54  % Vampire---4.8 exiting
%------------------------------------------------------------------------------