TSTP Solution File: ITP085^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP085^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 : Sun May  5 06:49:47 EDT 2024

% Result   : Theorem 2.59s 0.70s
% Output   : Refutation 2.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  162
% Syntax   : Number of formulae    :  201 (  45 unt; 156 typ;   0 def)
%            Number of atoms       :  140 (  59 equ;   0 cnn)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :  269 (   4   ~;   0   |;   0   &; 252   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :   20 (  19 usr)
%            Number of type conns  :  226 ( 226   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  122 ( 118 usr;  11 con; 0-3 aty)
%                                         (  13  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (  17   ^  24   !;   0   ?;  42   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_li185139947ession: $tType ).

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

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

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

thf(type_def_10,type,
    set_li849033543y_Keys: $tType ).

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

thf(type_def_12,type,
    set_li2007071804ecrets: $tType ).

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

thf(type_def_14,type,
    list_S529945141ession: $tType ).

thf(type_def_15,type,
    set_Se1942955227ession: $tType ).

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

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

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

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

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

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

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

thf(type_def_23,type,
    list_l425507653ession: $tType ).

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

thf(func_def_0,type,
    list_l425507653ession: $tType ).

thf(func_def_1,type,
    set_li185139947ession: $tType ).

thf(func_def_2,type,
    set_li2007071804ecrets: $tType ).

thf(func_def_3,type,
    set_li849033543y_Keys: $tType ).

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

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

thf(func_def_6,type,
    list_S529945141ession: $tType ).

thf(func_def_7,type,
    set_Se1942955227ession: $tType ).

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_19,type,
    bNF_Gr275623750ession: set_li185139947ession > secrecy_Expression > set_li185139947ession ).

thf(func_def_20,type,
    bNF_Gr660123862ecy_KS: set_list_Secrecy_KS > secrecy_KS > set_list_Secrecy_KS ).

thf(func_def_21,type,
    bNF_Gr414702370y_Keys: set_li849033543y_Keys > secrecy_Keys > set_li849033543y_Keys ).

thf(func_def_22,type,
    bNF_Gr28627573ecrets: set_li2007071804ecrets > secrecy_Secrets > set_li2007071804ecrets ).

thf(func_def_23,type,
    bNF_Gr979629770ession: set_li185139947ession > list_S529945141ession > set_Se1942955227ession ).

thf(func_def_24,type,
    bNF_Gr577175642ecy_KS: set_list_Secrecy_KS > list_Secrecy_KS > set_Secrecy_KS ).

thf(func_def_25,type,
    bNF_Gr344893606y_Keys: set_li849033543y_Keys > list_Secrecy_Keys > set_Secrecy_Keys ).

thf(func_def_26,type,
    bNF_Gr957048817ecrets: set_li2007071804ecrets > list_Secrecy_Secrets > set_Secrecy_Secrets ).

thf(func_def_27,type,
    localSecrets: secrecy_specID > set_Secrecy_KS ).

thf(func_def_28,type,
    knowle233900195orrect: secrecy_specID > secrecy_KS > $o ).

thf(func_def_29,type,
    knowle1268625169orrect: secrecy_specID > secrecy_Expression > $o ).

thf(func_def_30,type,
    knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).

thf(func_def_31,type,
    knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).

thf(func_def_32,type,
    mem_Se1967555118ession: secrecy_Expression > list_S529945141ession > $o ).

thf(func_def_33,type,
    mem_Secrecy_KS: secrecy_KS > list_Secrecy_KS > $o ).

thf(func_def_34,type,
    append1105297242ession: list_l425507653ession > list_l425507653ession > list_l425507653ession ).

thf(func_def_35,type,
    append1376766698ecy_KS: list_list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).

thf(func_def_36,type,
    append2089414218ession: list_S529945141ession > list_S529945141ession > list_S529945141ession ).

thf(func_def_37,type,
    append_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_38,type,
    append_Secrecy_Keys: list_Secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys ).

thf(func_def_39,type,
    append186372209ecrets: list_Secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets ).

thf(func_def_40,type,
    bind_S815874003ession: list_S529945141ession > ( secrecy_Expression > list_S529945141ession ) > list_S529945141ession ).

thf(func_def_41,type,
    bind_S1823644515ecy_KS: list_S529945141ession > ( secrecy_Expression > list_Secrecy_KS ) > list_Secrecy_KS ).

thf(func_def_42,type,
    bind_S711229283ession: list_Secrecy_KS > ( secrecy_KS > list_S529945141ession ) > list_S529945141ession ).

thf(func_def_43,type,
    bind_S645462771ecy_KS: list_Secrecy_KS > ( secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS ).

thf(func_def_44,type,
    butlas171474643ession: list_S529945141ession > list_S529945141ession ).

thf(func_def_45,type,
    butlast_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_46,type,
    concat388015140ession: list_l425507653ession > list_S529945141ession ).

thf(func_def_47,type,
    concat_Secrecy_KS: list_list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_48,type,
    distin1076152135ession: list_S529945141ession > $o ).

thf(func_def_49,type,
    distin1495927511ecy_KS: list_Secrecy_KS > $o ).

thf(func_def_50,type,
    foldr_1531709715ession: ( list_S529945141ession > list_S529945141ession > list_S529945141ession ) > list_l425507653ession > list_S529945141ession > list_S529945141ession ).

thf(func_def_51,type,
    foldr_1711005747ecy_KS: ( list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ) > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_52,type,
    insert1173886601ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).

thf(func_def_53,type,
    insert_Secrecy_KS: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_54,type,
    last_S1532390982ession: list_S529945141ession > secrecy_Expression ).

thf(func_def_55,type,
    last_Secrecy_KS: list_Secrecy_KS > secrecy_KS ).

thf(func_def_56,type,
    cons_l533358079ession: list_S529945141ession > list_l425507653ession > list_l425507653ession ).

thf(func_def_57,type,
    cons_list_Secrecy_KS: list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).

thf(func_def_58,type,
    cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).

thf(func_def_59,type,
    cons_Secrecy_KS: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_60,type,
    cons_Secrecy_Keys: secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys ).

thf(func_def_61,type,
    cons_Secrecy_Secrets: secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets ).

thf(func_def_62,type,
    nil_li311616943ession: list_l425507653ession ).

thf(func_def_63,type,
    nil_list_Secrecy_KS: list_list_Secrecy_KS ).

thf(func_def_64,type,
    nil_Se901661471ession: list_S529945141ession ).

thf(func_def_65,type,
    nil_Secrecy_KS: list_Secrecy_KS ).

thf(func_def_66,type,
    nil_Secrecy_Keys: list_Secrecy_Keys ).

thf(func_def_67,type,
    nil_Secrecy_Secrets: list_Secrecy_Secrets ).

thf(func_def_68,type,
    hd_lis1623417098ession: list_l425507653ession > list_S529945141ession ).

thf(func_def_69,type,
    hd_list_Secrecy_KS: list_list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_70,type,
    hd_Sec357328890ession: list_S529945141ession > secrecy_Expression ).

thf(func_def_71,type,
    hd_Secrecy_KS: list_Secrecy_KS > secrecy_KS ).

thf(func_def_72,type,
    tl_Sec1905266422ession: list_S529945141ession > list_S529945141ession ).

thf(func_def_73,type,
    tl_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_74,type,
    list_e1486860828ession: ( secrecy_Expression > $o ) > list_S529945141ession > $o ).

thf(func_def_75,type,
    list_ex1_Secrecy_KS: ( secrecy_KS > $o ) > list_Secrecy_KS > $o ).

thf(func_def_76,type,
    listre84909707ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > $o ).

thf(func_def_77,type,
    listre565996059ecy_KS: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > $o ).

thf(func_def_78,type,
    listre1601064475ession: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > $o ).

thf(func_def_79,type,
    listre788412843ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > $o ).

thf(func_def_80,type,
    map_ta1624757057ession: ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > list_S529945141ession ).

thf(func_def_81,type,
    map_ta623472337ession: ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession ).

thf(func_def_82,type,
    maps_S599402637ession: ( secrecy_Expression > list_S529945141ession ) > list_S529945141ession > list_S529945141ession ).

thf(func_def_83,type,
    maps_S399472669ecy_KS: ( secrecy_Expression > list_Secrecy_KS ) > list_S529945141ession > list_Secrecy_KS ).

thf(func_def_84,type,
    maps_S1434541085ession: ( secrecy_KS > list_S529945141ession ) > list_Secrecy_KS > list_S529945141ession ).

thf(func_def_85,type,
    maps_S377605037ecy_KS: ( secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_86,type,
    member2020590922ession: list_S529945141ession > secrecy_Expression > $o ).

thf(func_def_87,type,
    member_Secrecy_KS: list_Secrecy_KS > secrecy_KS > $o ).

thf(func_def_88,type,
    lexord1123423577ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > $o ).

thf(func_def_89,type,
    lexord948960489ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > $o ).

thf(func_def_90,type,
    produc1450295286ession: list_l425507653ession > list_l425507653ession ).

thf(func_def_91,type,
    produc713695622ecy_KS: list_list_Secrecy_KS > list_list_Secrecy_KS ).

thf(func_def_92,type,
    remdup484344169ession: list_S529945141ession > list_S529945141ession ).

thf(func_def_93,type,
    remdup351570169ecy_KS: list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_94,type,
    rev_Se1073238207ession: list_S529945141ession > list_S529945141ession ).

thf(func_def_95,type,
    rev_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_96,type,
    rotate1237234450ession: list_S529945141ession > list_S529945141ession ).

thf(func_def_97,type,
    rotate1_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_98,type,
    shuffl552897610ession: list_S529945141ession > list_S529945141ession > set_li185139947ession ).

thf(func_def_99,type,
    shuffles_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > set_list_Secrecy_KS ).

thf(func_def_100,type,
    splice1390717708ession: list_S529945141ession > list_S529945141ession > list_S529945141ession ).

thf(func_def_101,type,
    splice_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).

thf(func_def_102,type,
    subseq348280080ession: list_S529945141ession > list_l425507653ession ).

thf(func_def_103,type,
    subseqs_Secrecy_KS: list_Secrecy_KS > list_list_Secrecy_KS ).

thf(func_def_104,type,
    succes1388047762ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ).

thf(func_def_105,type,
    succes590251810ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ).

thf(func_def_106,type,
    decr: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_107,type,
    enc: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_108,type,
    encrDecrKeys: secrecy_Keys > secrecy_Keys > $o ).

thf(func_def_109,type,
    ext: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_110,type,
    sign: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_111,type,
    eout: secrecy_specID > secrecy_Expression > $o ).

thf(func_def_112,type,
    ine: secrecy_specID > secrecy_Expression > $o ).

thf(func_def_113,type,
    notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).

thf(func_def_114,type,
    specKeys: secrecy_specID > set_Secrecy_Keys ).

thf(func_def_115,type,
    specKeysSecrets: secrecy_specID > set_Secrecy_KS ).

thf(func_def_116,type,
    specSecrets: secrecy_specID > set_Secrecy_Secrets ).

thf(func_def_117,type,
    secrec1371625429on2KSL: list_S529945141ession > list_Secrecy_KS ).

thf(func_def_118,type,
    secrecy_kE: secrecy_Keys > secrecy_Expression ).

thf(func_def_119,type,
    secrecy_sE: secrecy_Secrets > secrecy_Expression ).

thf(func_def_120,type,
    secrec1016742679ession: secrecy_KS > secrecy_Expression ).

thf(func_def_121,type,
    secrecy_kKS: secrecy_Keys > secrecy_KS ).

thf(func_def_122,type,
    secrecy_sKS: secrecy_Secrets > secrecy_KS ).

thf(func_def_123,type,
    collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).

thf(func_def_124,type,
    collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).

thf(func_def_125,type,
    collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).

thf(func_def_126,type,
    member249235532ession: list_S529945141ession > set_li185139947ession > $o ).

thf(func_def_127,type,
    member193705948ecy_KS: list_Secrecy_KS > set_list_Secrecy_KS > $o ).

thf(func_def_128,type,
    member341114536y_Keys: list_Secrecy_Keys > set_li849033543y_Keys > $o ).

thf(func_def_129,type,
    member1138497285ecrets: list_Secrecy_Secrets > set_li2007071804ecrets > $o ).

thf(func_def_130,type,
    member279582780ession: secrecy_Expression > set_Se1942955227ession > $o ).

thf(func_def_131,type,
    member_Secrecy_KS2: secrecy_KS > set_Secrecy_KS > $o ).

thf(func_def_132,type,
    member_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > $o ).

thf(func_def_133,type,
    member2138796287ecrets: secrecy_Secrets > set_Secrecy_Secrets > $o ).

thf(func_def_134,type,
    a: secrecy_specID ).

thf(func_def_135,type,
    m: secrecy_Secrets ).

thf(func_def_156,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f4107,plain,
    $false,
    inference(trivial_inequality_removal,[],[f4106]) ).

thf(f4106,plain,
    $true = $false,
    inference(equality_proxy_clausification,[],[f4105]) ).

thf(f4105,plain,
    ( $true
    = ( $true = $false ) ),
    inference(forward_demodulation,[],[f4100,f1687]) ).

thf(f1687,plain,
    ( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
    = $false ),
    inference(not_proxy_clausification,[],[f1368]) ).

thf(f1368,plain,
    ( $true
    = ( ~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ) ) ),
    inference(cnf_transformation,[],[f924]) ).

thf(f924,plain,
    ( $true
    = ( ~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ) ) ),
    inference(fool_elimination,[],[f923]) ).

thf(f923,plain,
    ~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ),
    inference(rectify,[],[f354]) ).

thf(f354,negated_conjecture,
    ~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ),
    inference(negated_conjecture,[],[f353]) ).

thf(f353,conjecture,
    knowle945212990e_know @ a @ ( secrecy_sKS @ m ),
    file('/export/starexec/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226',conj_0) ).

thf(f4100,plain,
    ( $true
    = ( $true
      = ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ) ) ),
    inference(superposition,[],[f4098,f1919]) ).

thf(f1919,plain,
    ( $true
    = ( knowle731562421_knows @ a @ ( insert1173886601ession @ ( secrecy_sE @ m ) @ ( concat388015140ession @ nil_li311616943ession ) ) ) ),
    inference(backward_demodulation,[],[f1426,f1918]) ).

thf(f1918,plain,
    ! [X1: secrecy_Expression] :
      ( ( cons_S112077679ession @ X1 @ ( concat388015140ession @ nil_li311616943ession ) )
      = ( insert1173886601ession @ X1 @ ( concat388015140ession @ nil_li311616943ession ) ) ),
    inference(equality_proxy_clausification,[],[f1917]) ).

thf(f1917,plain,
    ! [X1: secrecy_Expression] :
      ( ( ( cons_S112077679ession @ X1 @ ( concat388015140ession @ nil_li311616943ession ) )
        = ( insert1173886601ession @ X1 @ ( concat388015140ession @ nil_li311616943ession ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f1916]) ).

thf(f1916,plain,
    ! [X1: secrecy_Expression] :
      ( $true
      = ( ^ [Y0: secrecy_Expression] :
            ( ( cons_S112077679ession @ Y0 @ ( concat388015140ession @ nil_li311616943ession ) )
            = ( insert1173886601ession @ Y0 @ ( concat388015140ession @ nil_li311616943ession ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f1447]) ).

thf(f1447,plain,
    ( $true
    = ( !! @ secrecy_Expression
      @ ^ [Y0: secrecy_Expression] :
          ( ( cons_S112077679ession @ Y0 @ ( concat388015140ession @ nil_li311616943ession ) )
          = ( insert1173886601ession @ Y0 @ ( concat388015140ession @ nil_li311616943ession ) ) ) ) ),
    inference(definition_unfolding,[],[f1102,f1329,f1329]) ).

thf(f1329,plain,
    ( nil_Se901661471ession
    = ( concat388015140ession @ nil_li311616943ession ) ),
    inference(cnf_transformation,[],[f1000]) ).

thf(f1000,plain,
    ( nil_Se901661471ession
    = ( concat388015140ession @ nil_li311616943ession ) ),
    inference(fool_elimination,[],[f200]) ).

thf(f200,axiom,
    ( nil_Se901661471ession
    = ( concat388015140ession @ nil_li311616943ession ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226',fact_199_concat_Osimps_I1_J) ).

thf(f1102,plain,
    ( $true
    = ( !! @ secrecy_Expression
      @ ^ [Y0: secrecy_Expression] :
          ( ( cons_S112077679ession @ Y0 @ nil_Se901661471ession )
          = ( insert1173886601ession @ Y0 @ nil_Se901661471ession ) ) ) ),
    inference(cnf_transformation,[],[f509]) ).

thf(f509,plain,
    ( $true
    = ( !! @ secrecy_Expression
      @ ^ [Y0: secrecy_Expression] :
          ( ( cons_S112077679ession @ Y0 @ nil_Se901661471ession )
          = ( insert1173886601ession @ Y0 @ nil_Se901661471ession ) ) ) ),
    inference(fool_elimination,[],[f508]) ).

thf(f508,plain,
    ! [X0: secrecy_Expression] :
      ( ( cons_S112077679ession @ X0 @ nil_Se901661471ession )
      = ( insert1173886601ession @ X0 @ nil_Se901661471ession ) ),
    inference(rectify,[],[f71]) ).

thf(f71,axiom,
    ! [X39: secrecy_Expression] :
      ( ( insert1173886601ession @ X39 @ nil_Se901661471ession )
      = ( cons_S112077679ession @ X39 @ nil_Se901661471ession ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226',fact_70_insert__Nil) ).

thf(f1426,plain,
    ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
    = $true ),
    inference(definition_unfolding,[],[f1076,f1329]) ).

thf(f1076,plain,
    ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ) )
    = $true ),
    inference(cnf_transformation,[],[f630]) ).

thf(f630,plain,
    ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ) )
    = $true ),
    inference(fool_elimination,[],[f629]) ).

thf(f629,plain,
    knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ),
    file('/export/starexec/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226',fact_0_assms) ).

thf(f4098,plain,
    ! [X2: secrecy_Secrets,X1: secrecy_specID] :
      ( ( ( knowle731562421_knows @ X1 @ ( insert1173886601ession @ ( secrecy_sE @ X2 ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
        = ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ X2 ) ) )
      = $true ),
    inference(forward_demodulation,[],[f4097,f1727]) ).

thf(f1727,plain,
    ! [X1: secrecy_Secrets] :
      ( ( secrecy_sE @ X1 )
      = ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) ),
    inference(equality_proxy_clausification,[],[f1726]) ).

thf(f1726,plain,
    ! [X1: secrecy_Secrets] :
      ( $true
      = ( ( secrecy_sE @ X1 )
        = ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f1725]) ).

thf(f1725,plain,
    ! [X1: secrecy_Secrets] :
      ( $true
      = ( ^ [Y0: secrecy_Secrets] :
            ( ( secrecy_sE @ Y0 )
            = ( secrec1016742679ession @ ( secrecy_sKS @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f1257]) ).

thf(f1257,plain,
    ( $true
    = ( !! @ secrecy_Secrets
      @ ^ [Y0: secrecy_Secrets] :
          ( ( secrecy_sE @ Y0 )
          = ( secrec1016742679ession @ ( secrecy_sKS @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f824]) ).

thf(f824,plain,
    ( $true
    = ( !! @ secrecy_Secrets
      @ ^ [Y0: secrecy_Secrets] :
          ( ( secrecy_sE @ Y0 )
          = ( secrec1016742679ession @ ( secrecy_sKS @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f823]) ).

thf(f823,plain,
    ! [X0: secrecy_Secrets] :
      ( ( secrecy_sE @ X0 )
      = ( secrec1016742679ession @ ( secrecy_sKS @ X0 ) ) ),
    inference(rectify,[],[f8]) ).

thf(f8,axiom,
    ! [X3: secrecy_Secrets] :
      ( ( secrecy_sE @ X3 )
      = ( secrec1016742679ession @ ( secrecy_sKS @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226',fact_7_KS2Expression_Osimps_I2_J) ).

thf(f4097,plain,
    ! [X2: secrecy_Secrets,X1: secrecy_specID] :
      ( ( ( knowle731562421_knows @ X1 @ ( insert1173886601ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X2 ) ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
        = ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ X2 ) ) )
      = $true ),
    inference(forward_demodulation,[],[f4096,f1918]) ).

thf(f4096,plain,
    ! [X2: secrecy_Secrets,X1: secrecy_specID] :
      ( $true
      = ( ( knowle731562421_knows @ X1 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X2 ) ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
        = ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ X2 ) ) ) ),
    inference(beta_eta_normalization,[],[f4095]) ).

thf(f4095,plain,
    ! [X2: secrecy_Secrets,X1: secrecy_specID] :
      ( ( ^ [Y0: secrecy_Secrets] :
            ( ( knowle731562421_knows @ X1 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ Y0 ) ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
            = ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ Y0 ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f4094]) ).

thf(f4094,plain,
    ! [X1: secrecy_specID] :
      ( ( !! @ secrecy_Secrets
        @ ^ [Y0: secrecy_Secrets] :
            ( ( knowle731562421_knows @ X1 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ Y0 ) ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
            = ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ Y0 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f4093]) ).

thf(f4093,plain,
    ! [X1: secrecy_specID] :
      ( $true
      = ( ^ [Y0: secrecy_specID] :
            ( !! @ secrecy_Secrets
            @ ^ [Y1: secrecy_Secrets] :
                ( ( knowle731562421_knows @ Y0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ Y1 ) ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
                = ( knowle945212990e_know @ Y0 @ ( secrecy_sKS @ Y1 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f1556]) ).

thf(f1556,plain,
    ( $true
    = ( !! @ secrecy_specID
      @ ^ [Y0: secrecy_specID] :
          ( !! @ secrecy_Secrets
          @ ^ [Y1: secrecy_Secrets] :
              ( ( knowle731562421_knows @ Y0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ Y1 ) ) @ ( concat388015140ession @ nil_li311616943ession ) ) )
              = ( knowle945212990e_know @ Y0 @ ( secrecy_sKS @ Y1 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f1250,f1329]) ).

thf(f1250,plain,
    ( ( !! @ secrecy_specID
      @ ^ [Y0: secrecy_specID] :
          ( !! @ secrecy_Secrets
          @ ^ [Y1: secrecy_Secrets] :
              ( ( knowle731562421_knows @ Y0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ Y1 ) ) @ nil_Se901661471ession ) )
              = ( knowle945212990e_know @ Y0 @ ( secrecy_sKS @ Y1 ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f652]) ).

thf(f652,plain,
    ( ( !! @ secrecy_specID
      @ ^ [Y0: secrecy_specID] :
          ( !! @ secrecy_Secrets
          @ ^ [Y1: secrecy_Secrets] :
              ( ( knowle731562421_knows @ Y0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ Y1 ) ) @ nil_Se901661471ession ) )
              = ( knowle945212990e_know @ Y0 @ ( secrecy_sKS @ Y1 ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f651]) ).

thf(f651,plain,
    ! [X0: secrecy_Secrets,X1: secrecy_specID] :
      ( ( knowle731562421_knows @ X1 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X0 ) ) @ nil_Se901661471ession ) )
      = ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ X0 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X5: secrecy_Secrets,X4: secrecy_specID] :
      ( ( knowle731562421_knows @ X4 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X5 ) ) @ nil_Se901661471ession ) )
      = ( knowle945212990e_know @ X4 @ ( secrecy_sKS @ X5 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226',fact_3_know1s) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : ITP085^1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Fri May  3 19:08:23 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.09/0.28  This is a TH0_THM_EQU_NAR problem
% 0.09/0.29  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/sandbox2/tmp/tmp.8bvucLJTh4/Vampire---4.8_19226
% 0.13/0.32  % (19394)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 Vampire---4 for (2999ds/27Mi)
% 0.13/0.32  % (19393)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 Vampire---4 for (2999ds/4Mi)
% 0.13/0.32  % (19396)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.13/0.32  % (19396)Instruction limit reached!
% 0.13/0.32  % (19396)------------------------------
% 0.13/0.32  % (19396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32  % (19396)Termination reason: Unknown
% 0.13/0.32  % (19396)Termination phase: shuffling
% 0.13/0.32  
% 0.13/0.32  % (19396)Memory used [KB]: 1535
% 0.13/0.32  % (19392)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.13/0.32  % (19396)Time elapsed: 0.003 s
% 0.13/0.32  % (19396)Instructions burned: 3 (million)
% 0.13/0.32  % (19396)------------------------------
% 0.13/0.32  % (19396)------------------------------
% 0.13/0.33  % (19393)Instruction limit reached!
% 0.13/0.33  % (19393)------------------------------
% 0.13/0.33  % (19393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (19393)Termination reason: Unknown
% 0.13/0.33  % (19393)Termination phase: shuffling
% 0.13/0.33  
% 0.13/0.33  % (19393)Memory used [KB]: 1663
% 0.13/0.33  % (19393)Time elapsed: 0.004 s
% 0.13/0.33  % (19393)Instructions burned: 6 (million)
% 0.13/0.33  % (19393)------------------------------
% 0.13/0.33  % (19393)------------------------------
% 0.13/0.33  % (19395)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.13/0.33  % (19398)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.13/0.33  % (19399)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.33  % (19395)Instruction limit reached!
% 0.13/0.33  % (19395)------------------------------
% 0.13/0.33  % (19395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (19395)Termination reason: Unknown
% 0.13/0.33  % (19395)Termination phase: shuffling
% 0.13/0.33  
% 0.13/0.33  % (19395)Memory used [KB]: 1535
% 0.13/0.33  % (19395)Time elapsed: 0.003 s
% 0.13/0.33  % (19395)Instructions burned: 3 (million)
% 0.13/0.33  % (19395)------------------------------
% 0.13/0.33  % (19395)------------------------------
% 0.13/0.33  % (19397)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.13/0.33  % (19399)Instruction limit reached!
% 0.13/0.33  % (19399)------------------------------
% 0.13/0.33  % (19399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (19399)Termination reason: Unknown
% 0.13/0.33  % (19399)Termination phase: shuffling
% 0.13/0.33  
% 0.13/0.33  % (19399)Memory used [KB]: 1535
% 0.13/0.33  % (19399)Time elapsed: 0.004 s
% 0.13/0.33  % (19399)Instructions burned: 3 (million)
% 0.13/0.33  % (19399)------------------------------
% 0.13/0.33  % (19399)------------------------------
% 0.13/0.33  % (19394)Instruction limit reached!
% 0.13/0.33  % (19394)------------------------------
% 0.13/0.33  % (19394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (19394)Termination reason: Unknown
% 0.13/0.33  % (19394)Termination phase: Property scanning
% 0.13/0.33  
% 0.13/0.33  % (19394)Memory used [KB]: 2046
% 0.13/0.33  % (19394)Time elapsed: 0.012 s
% 0.13/0.33  % (19394)Instructions burned: 29 (million)
% 0.13/0.33  % (19394)------------------------------
% 0.13/0.33  % (19394)------------------------------
% 0.13/0.34  % (19406)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 Vampire---4 for (2999ds/37Mi)
% 0.13/0.34  % (19407)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 Vampire---4 for (2999ds/15Mi)
% 0.13/0.34  % (19398)Instruction limit reached!
% 0.13/0.34  % (19398)------------------------------
% 0.13/0.34  % (19398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (19398)Termination reason: Unknown
% 0.13/0.34  % (19398)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (19398)Memory used [KB]: 1918
% 0.13/0.34  % (19398)Time elapsed: 0.011 s
% 0.13/0.34  % (19398)Instructions burned: 19 (million)
% 0.13/0.34  % (19398)------------------------------
% 0.13/0.34  % (19398)------------------------------
% 0.13/0.34  % (19409)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.34  % (19409)Instruction limit reached!
% 0.13/0.34  % (19409)------------------------------
% 0.13/0.34  % (19409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (19409)Termination reason: Unknown
% 0.13/0.34  % (19409)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (19409)Memory used [KB]: 1535
% 0.13/0.34  % (19409)Time elapsed: 0.003 s
% 0.13/0.34  % (19409)Instructions burned: 4 (million)
% 0.13/0.34  % (19409)------------------------------
% 0.13/0.34  % (19409)------------------------------
% 0.13/0.34  % (19411)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 Vampire---4 for (2999ds/1041Mi)
% 0.13/0.34  % (19407)Instruction limit reached!
% 0.13/0.34  % (19407)------------------------------
% 0.13/0.34  % (19407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (19407)Termination reason: Unknown
% 0.13/0.34  % (19407)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (19407)Memory used [KB]: 1791
% 0.13/0.34  % (19407)Time elapsed: 0.007 s
% 0.13/0.34  % (19407)Instructions burned: 16 (million)
% 0.13/0.34  % (19407)------------------------------
% 0.13/0.34  % (19407)------------------------------
% 0.13/0.34  % (19415)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.13/0.35  % (19415)Instruction limit reached!
% 0.13/0.35  % (19415)------------------------------
% 0.13/0.35  % (19415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (19415)Termination reason: Unknown
% 0.13/0.35  % (19415)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (19415)Memory used [KB]: 1663
% 0.13/0.35  % (19415)Time elapsed: 0.004 s
% 0.13/0.35  % (19415)Instructions burned: 7 (million)
% 0.13/0.35  % (19415)------------------------------
% 0.13/0.35  % (19415)------------------------------
% 0.13/0.35  % (19406)Instruction limit reached!
% 0.13/0.35  % (19406)------------------------------
% 0.13/0.35  % (19406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (19406)Termination reason: Unknown
% 0.13/0.35  % (19406)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (19406)Memory used [KB]: 2302
% 0.13/0.35  % (19406)Time elapsed: 0.013 s
% 0.13/0.35  % (19406)Instructions burned: 39 (million)
% 0.13/0.35  % (19406)------------------------------
% 0.13/0.35  % (19406)------------------------------
% 0.13/0.35  % (19419)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.13/0.35  % (19424)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 Vampire---4 for (2999ds/3Mi)
% 0.13/0.35  % (19422)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 Vampire---4 for (2999ds/3Mi)
% 0.13/0.35  % (19424)Instruction limit reached!
% 0.13/0.35  % (19424)------------------------------
% 0.13/0.35  % (19424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (19424)Termination reason: Unknown
% 0.13/0.35  % (19424)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (19424)Memory used [KB]: 1535
% 0.13/0.35  % (19424)Time elapsed: 0.003 s
% 0.13/0.35  % (19424)Instructions burned: 5 (million)
% 0.13/0.35  % (19424)------------------------------
% 0.13/0.35  % (19424)------------------------------
% 0.13/0.35  % (19422)Instruction limit reached!
% 0.13/0.35  % (19422)------------------------------
% 0.13/0.35  % (19422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (19422)Termination reason: Unknown
% 0.13/0.35  % (19422)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (19422)Memory used [KB]: 1535
% 0.13/0.35  % (19422)Time elapsed: 0.003 s
% 0.13/0.35  % (19422)Instructions burned: 3 (million)
% 0.13/0.35  % (19422)------------------------------
% 0.13/0.35  % (19422)------------------------------
% 0.13/0.35  % (19427)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.13/0.35  % (19397)Refutation not found, incomplete strategy
% 0.13/0.35  % (19397)------------------------------
% 0.13/0.35  % (19397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (19397)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % (19397)Memory used [KB]: 6780
% 0.13/0.35  % (19397)Time elapsed: 0.028 s
% 0.13/0.35  % (19397)Instructions burned: 56 (million)
% 0.13/0.35  % (19397)------------------------------
% 0.13/0.35  % (19397)------------------------------
% 0.13/0.36  % (19419)Instruction limit reached!
% 0.13/0.36  % (19419)------------------------------
% 0.13/0.36  % (19419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (19419)Termination reason: Unknown
% 0.13/0.36  % (19419)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (19419)Memory used [KB]: 1918
% 0.13/0.36  % (19419)Time elapsed: 0.009 s
% 0.13/0.36  % (19419)Instructions burned: 18 (million)
% 0.13/0.36  % (19419)------------------------------
% 0.13/0.36  % (19419)------------------------------
% 0.13/0.36  % (19428)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.36  % (19427)Instruction limit reached!
% 0.13/0.36  % (19427)------------------------------
% 0.13/0.36  % (19427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (19427)Termination reason: Unknown
% 0.13/0.36  % (19427)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (19427)Memory used [KB]: 1791
% 0.13/0.36  % (19427)Time elapsed: 0.004 s
% 0.13/0.36  % (19427)Instructions burned: 9 (million)
% 0.13/0.36  % (19427)------------------------------
% 0.13/0.36  % (19427)------------------------------
% 0.13/0.36  % (19428)Instruction limit reached!
% 0.13/0.36  % (19428)------------------------------
% 0.13/0.36  % (19428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (19428)Termination reason: Unknown
% 0.13/0.36  % (19428)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (19428)Memory used [KB]: 1663
% 0.13/0.36  % (19428)Time elapsed: 0.003 s
% 0.13/0.36  % (19428)Instructions burned: 5 (million)
% 0.13/0.36  % (19428)------------------------------
% 0.13/0.36  % (19428)------------------------------
% 0.13/0.36  % (19430)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.13/0.36  % (19431)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.13/0.36  % (19430)Instruction limit reached!
% 0.13/0.36  % (19430)------------------------------
% 0.13/0.36  % (19430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (19430)Termination reason: Unknown
% 0.13/0.36  % (19430)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (19430)Memory used [KB]: 1663
% 0.13/0.36  % (19430)Time elapsed: 0.003 s
% 0.13/0.36  % (19430)Instructions burned: 5 (million)
% 0.13/0.36  % (19430)------------------------------
% 0.13/0.36  % (19430)------------------------------
% 0.13/0.36  % (19435)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 Vampire---4 for (2999ds/902Mi)
% 0.13/0.37  % (19432)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.13/0.37  % (19434)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.13/0.37  % (19437)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 Vampire---4 for (2999ds/21Mi)
% 0.13/0.37  % (19434)Instruction limit reached!
% 0.13/0.37  % (19434)------------------------------
% 0.13/0.37  % (19434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (19434)Termination reason: Unknown
% 0.13/0.37  % (19434)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (19434)Memory used [KB]: 1663
% 0.13/0.37  % (19434)Time elapsed: 0.005 s
% 0.13/0.37  % (19434)Instructions burned: 8 (million)
% 0.13/0.37  % (19434)------------------------------
% 0.13/0.37  % (19434)------------------------------
% 0.13/0.37  % (19431)Instruction limit reached!
% 0.13/0.37  % (19431)------------------------------
% 0.13/0.37  % (19431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (19431)Termination reason: Unknown
% 0.13/0.37  % (19431)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (19431)Memory used [KB]: 1918
% 0.13/0.37  % (19431)Time elapsed: 0.008 s
% 0.13/0.37  % (19431)Instructions burned: 19 (million)
% 0.13/0.37  % (19431)------------------------------
% 0.13/0.37  % (19431)------------------------------
% 0.13/0.37  % (19441)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.13/0.37  % (19441)Instruction limit reached!
% 0.13/0.37  % (19441)------------------------------
% 0.13/0.37  % (19441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (19441)Termination reason: Unknown
% 0.13/0.37  % (19441)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (19441)Memory used [KB]: 1663
% 0.13/0.37  % (19441)Time elapsed: 0.003 s
% 0.13/0.37  % (19441)Instructions burned: 6 (million)
% 0.13/0.37  % (19441)------------------------------
% 0.13/0.37  % (19441)------------------------------
% 0.13/0.37  % (19437)Instruction limit reached!
% 0.13/0.37  % (19437)------------------------------
% 0.13/0.37  % (19437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (19437)Termination reason: Unknown
% 0.13/0.37  % (19437)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (19437)Memory used [KB]: 1918
% 0.13/0.37  % (19437)Time elapsed: 0.009 s
% 0.13/0.37  % (19437)Instructions burned: 21 (million)
% 0.13/0.37  % (19437)------------------------------
% 0.13/0.37  % (19437)------------------------------
% 0.13/0.38  % (19445)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 Vampire---4 for (2999ds/6Mi)
% 0.13/0.38  % (19446)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.13/0.38  % (19445)Instruction limit reached!
% 0.13/0.38  % (19445)------------------------------
% 0.13/0.38  % (19445)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (19445)Termination reason: Unknown
% 0.13/0.38  % (19445)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (19445)Memory used [KB]: 1663
% 0.13/0.38  % (19445)Time elapsed: 0.004 s
% 0.13/0.38  % (19445)Instructions burned: 6 (million)
% 0.13/0.38  % (19445)------------------------------
% 0.13/0.38  % (19445)------------------------------
% 0.13/0.38  % (19450)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 Vampire---4 for (2999ds/779Mi)
% 0.13/0.38  % (19452)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 Vampire---4 for (2999ds/19Mi)
% 0.13/0.38  % (19392)Instruction limit reached!
% 0.13/0.38  % (19392)------------------------------
% 0.13/0.38  % (19392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (19392)Termination reason: Unknown
% 0.13/0.38  % (19392)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (19392)Memory used [KB]: 7675
% 0.13/0.38  % (19392)Time elapsed: 0.060 s
% 0.13/0.38  % (19392)Instructions burned: 184 (million)
% 0.13/0.38  % (19392)------------------------------
% 0.13/0.38  % (19392)------------------------------
% 0.13/0.39  % (19452)Instruction limit reached!
% 0.13/0.39  % (19452)------------------------------
% 0.13/0.39  % (19452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (19452)Termination reason: Unknown
% 0.13/0.39  % (19452)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (19452)Memory used [KB]: 2046
% 0.13/0.39  % (19452)Time elapsed: 0.007 s
% 0.13/0.39  % (19452)Instructions burned: 19 (million)
% 0.13/0.39  % (19452)------------------------------
% 0.13/0.39  % (19452)------------------------------
% 0.13/0.39  % (19455)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.13/0.39  % (19457)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.13/0.40  % (19460)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.40  % (19457)Instruction limit reached!
% 0.13/0.40  % (19457)------------------------------
% 0.13/0.40  % (19457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (19457)Termination reason: Unknown
% 0.13/0.40  % (19457)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (19457)Memory used [KB]: 1918
% 0.13/0.40  % (19457)Time elapsed: 0.008 s
% 0.13/0.40  % (19457)Instructions burned: 19 (million)
% 0.13/0.40  % (19457)------------------------------
% 0.13/0.40  % (19457)------------------------------
% 0.13/0.40  % (19460)Instruction limit reached!
% 0.13/0.40  % (19460)------------------------------
% 0.13/0.40  % (19460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (19460)Termination reason: Unknown
% 0.13/0.40  % (19460)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (19460)Memory used [KB]: 1535
% 0.13/0.40  % (19460)Time elapsed: 0.003 s
% 0.13/0.40  % (19460)Instructions burned: 5 (million)
% 0.13/0.40  % (19460)------------------------------
% 0.13/0.40  % (19460)------------------------------
% 0.13/0.41  % (19465)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.13/0.41  % (19466)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.13/0.42  % (19435)Refutation not found, incomplete strategy
% 0.13/0.42  % (19435)------------------------------
% 0.13/0.42  % (19435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (19435)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.42  
% 0.13/0.42  
% 0.13/0.42  % (19435)Memory used [KB]: 8571
% 0.13/0.42  % (19435)Time elapsed: 0.054 s
% 0.13/0.42  % (19435)Instructions burned: 181 (million)
% 0.13/0.42  % (19435)------------------------------
% 0.13/0.42  % (19435)------------------------------
% 0.13/0.42  % (19465)Instruction limit reached!
% 0.13/0.42  % (19465)------------------------------
% 0.13/0.42  % (19465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (19465)Termination reason: Unknown
% 0.13/0.42  % (19465)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (19465)Memory used [KB]: 2174
% 0.13/0.42  % (19465)Time elapsed: 0.012 s
% 0.13/0.42  % (19465)Instructions burned: 31 (million)
% 0.13/0.42  % (19465)------------------------------
% 0.13/0.42  % (19465)------------------------------
% 0.13/0.43  % (19483)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.13/0.43  % (19484)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 Vampire---4 for (2998ds/3Mi)
% 0.13/0.43  % (19484)Instruction limit reached!
% 0.13/0.43  % (19484)------------------------------
% 0.13/0.43  % (19484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43  % (19484)Termination reason: Unknown
% 0.13/0.43  % (19484)Termination phase: shuffling
% 0.13/0.43  
% 0.13/0.43  % (19484)Memory used [KB]: 1663
% 0.13/0.43  % (19484)Time elapsed: 0.003 s
% 0.13/0.43  % (19484)Instructions burned: 5 (million)
% 0.13/0.43  % (19484)------------------------------
% 0.13/0.43  % (19484)------------------------------
% 0.13/0.44  % (19495)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 Vampire---4 for (2998ds/20Mi)
% 0.13/0.45  % (19495)Instruction limit reached!
% 0.13/0.45  % (19495)------------------------------
% 0.13/0.45  % (19495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.45  % (19495)Termination reason: Unknown
% 0.13/0.45  % (19495)Termination phase: shuffling
% 0.13/0.45  
% 0.13/0.45  % (19495)Memory used [KB]: 1918
% 0.13/0.45  % (19495)Time elapsed: 0.009 s
% 0.13/0.45  % (19495)Instructions burned: 21 (million)
% 0.13/0.45  % (19495)------------------------------
% 0.13/0.45  % (19495)------------------------------
% 0.13/0.45  % (19466)Instruction limit reached!
% 0.13/0.45  % (19466)------------------------------
% 0.13/0.45  % (19466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.45  % (19466)Termination reason: Unknown
% 0.13/0.45  % (19466)Termination phase: Property scanning
% 0.13/0.45  
% 0.13/0.45  % (19466)Memory used [KB]: 3070
% 0.13/0.45  % (19466)Time elapsed: 0.039 s
% 0.13/0.45  % (19466)Instructions burned: 127 (million)
% 0.13/0.45  % (19466)------------------------------
% 0.13/0.45  % (19466)------------------------------
% 0.13/0.45  % (19483)Instruction limit reached!
% 0.13/0.45  % (19483)------------------------------
% 0.13/0.45  % (19483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.45  % (19483)Termination reason: Unknown
% 0.13/0.45  % (19483)Termination phase: Property scanning
% 0.13/0.45  
% 0.13/0.45  % (19483)Memory used [KB]: 2814
% 0.13/0.45  % (19483)Time elapsed: 0.027 s
% 0.13/0.45  % (19483)Instructions burned: 100 (million)
% 0.13/0.45  % (19483)------------------------------
% 0.13/0.45  % (19483)------------------------------
% 0.13/0.45  % (19512)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 Vampire---4 for (2998ds/86Mi)
% 0.13/0.45  % (19514)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 Vampire---4 for (2998ds/107Mi)
% 0.13/0.46  % (19520)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 Vampire---4 for (2998ds/39Mi)
% 0.13/0.47  % (19520)Instruction limit reached!
% 0.13/0.47  % (19520)------------------------------
% 0.13/0.47  % (19520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.47  % (19520)Termination reason: Unknown
% 0.13/0.47  % (19520)Termination phase: shuffling
% 0.13/0.47  
% 0.13/0.47  % (19520)Memory used [KB]: 2302
% 0.13/0.47  % (19520)Time elapsed: 0.012 s
% 0.13/0.47  % (19520)Instructions burned: 39 (million)
% 0.13/0.47  % (19520)------------------------------
% 0.13/0.47  % (19520)------------------------------
% 0.13/0.48  % (19534)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 Vampire---4 for (2998ds/448Mi)
% 0.13/0.48  % (19512)Instruction limit reached!
% 0.13/0.48  % (19512)------------------------------
% 0.13/0.48  % (19512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48  % (19512)Termination reason: Unknown
% 0.13/0.48  % (19512)Termination phase: Property scanning
% 0.13/0.48  
% 0.13/0.48  % (19512)Memory used [KB]: 2942
% 0.13/0.48  % (19512)Time elapsed: 0.028 s
% 0.13/0.48  % (19512)Instructions burned: 89 (million)
% 0.13/0.48  % (19512)------------------------------
% 0.13/0.48  % (19512)------------------------------
% 0.13/0.49  % (19514)Instruction limit reached!
% 0.13/0.49  % (19514)------------------------------
% 0.13/0.49  % (19514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.49  % (19514)Termination reason: Unknown
% 0.13/0.49  % (19514)Termination phase: Saturation
% 0.13/0.49  
% 0.13/0.49  % (19514)Memory used [KB]: 7164
% 0.13/0.49  % (19514)Time elapsed: 0.035 s
% 0.13/0.49  % (19514)Instructions burned: 108 (million)
% 0.13/0.49  % (19514)------------------------------
% 0.13/0.49  % (19514)------------------------------
% 0.13/0.49  % (19544)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 Vampire---4 for (2998ds/46Mi)
% 0.13/0.50  % (19550)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 Vampire---4 for (2998ds/98Mi)
% 0.13/0.50  % (19446)Instruction limit reached!
% 0.13/0.50  % (19446)------------------------------
% 0.13/0.50  % (19446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.50  % (19446)Termination reason: Unknown
% 0.13/0.50  % (19446)Termination phase: Saturation
% 0.13/0.50  
% 0.13/0.50  % (19446)Memory used [KB]: 9210
% 0.13/0.50  % (19446)Time elapsed: 0.124 s
% 0.13/0.50  % (19446)Instructions burned: 377 (million)
% 0.13/0.50  % (19446)------------------------------
% 0.13/0.50  % (19446)------------------------------
% 0.13/0.50  % (19544)Instruction limit reached!
% 0.13/0.50  % (19544)------------------------------
% 0.13/0.50  % (19544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.50  % (19544)Termination reason: Unknown
% 0.13/0.50  % (19544)Termination phase: SInE selection
% 0.13/0.50  
% 0.13/0.50  % (19544)Memory used [KB]: 2046
% 0.13/0.50  % (19544)Time elapsed: 0.016 s
% 0.13/0.50  % (19544)Instructions burned: 48 (million)
% 0.13/0.50  % (19544)------------------------------
% 0.13/0.50  % (19544)------------------------------
% 0.13/0.51  % (19557)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 Vampire---4 for (2997ds/507Mi)
% 0.13/0.51  % (19559)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 Vampire---4 for (2997ds/149Mi)
% 0.13/0.53  % (19550)Instruction limit reached!
% 0.13/0.53  % (19550)------------------------------
% 0.13/0.53  % (19550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.53  % (19550)Termination reason: Unknown
% 0.13/0.53  % (19550)Termination phase: Property scanning
% 0.13/0.53  
% 0.13/0.53  % (19550)Memory used [KB]: 2814
% 0.13/0.53  % (19550)Time elapsed: 0.029 s
% 0.13/0.53  % (19550)Instructions burned: 98 (million)
% 0.13/0.53  % (19550)------------------------------
% 0.13/0.53  % (19550)------------------------------
% 1.85/0.55  % (19569)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.98/0.56  % (19559)Instruction limit reached!
% 1.98/0.56  % (19559)------------------------------
% 1.98/0.56  % (19559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.56  % (19559)Termination reason: Unknown
% 1.98/0.56  % (19559)Termination phase: Property scanning
% 1.98/0.56  
% 1.98/0.56  % (19559)Memory used [KB]: 3070
% 1.98/0.56  % (19559)Time elapsed: 0.044 s
% 1.98/0.56  % (19559)Instructions burned: 151 (million)
% 1.98/0.56  % (19559)------------------------------
% 1.98/0.56  % (19559)------------------------------
% 1.98/0.56  % (19569)Instruction limit reached!
% 1.98/0.56  % (19569)------------------------------
% 1.98/0.56  % (19569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.56  % (19569)Termination reason: Unknown
% 1.98/0.56  % (19569)Termination phase: Property scanning
% 1.98/0.56  
% 1.98/0.56  % (19569)Memory used [KB]: 2046
% 1.98/0.56  % (19569)Time elapsed: 0.014 s
% 1.98/0.56  % (19569)Instructions burned: 42 (million)
% 1.98/0.56  % (19569)------------------------------
% 1.98/0.56  % (19569)------------------------------
% 1.98/0.56  % (19570)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 Vampire---4 for (2997ds/6Mi)
% 1.98/0.57  % (19571)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 Vampire---4 for (2997ds/1087Mi)
% 1.98/0.57  % (19570)Instruction limit reached!
% 1.98/0.57  % (19570)------------------------------
% 1.98/0.57  % (19570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.57  % (19570)Termination reason: Unknown
% 1.98/0.57  % (19570)Termination phase: shuffling
% 1.98/0.57  
% 1.98/0.57  % (19570)Memory used [KB]: 1663
% 1.98/0.57  % (19570)Time elapsed: 0.003 s
% 1.98/0.57  % (19570)Instructions burned: 6 (million)
% 1.98/0.57  % (19570)------------------------------
% 1.98/0.57  % (19570)------------------------------
% 1.98/0.57  % (19557)Refutation not found, incomplete strategy
% 1.98/0.57  % (19557)------------------------------
% 1.98/0.57  % (19557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.57  % (19557)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.57  
% 1.98/0.57  
% 1.98/0.57  % (19557)Memory used [KB]: 8955
% 1.98/0.57  % (19557)Time elapsed: 0.065 s
% 1.98/0.57  % (19557)Instructions burned: 206 (million)
% 1.98/0.57  % (19557)------------------------------
% 1.98/0.57  % (19557)------------------------------
% 1.98/0.58  % (19574)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 1.98/0.58  % (19579)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 Vampire---4 for (2997ds/44Mi)
% 1.98/0.59  % (19574)Instruction limit reached!
% 1.98/0.59  % (19574)------------------------------
% 1.98/0.59  % (19574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.59  % (19574)Termination reason: Unknown
% 1.98/0.59  % (19574)Termination phase: Preprocessing 1
% 1.98/0.59  
% 1.98/0.59  % (19574)Memory used [KB]: 2174
% 1.98/0.59  % (19574)Time elapsed: 0.016 s
% 1.98/0.59  % (19574)Instructions burned: 47 (million)
% 1.98/0.59  % (19574)------------------------------
% 1.98/0.59  % (19574)------------------------------
% 1.98/0.60  % (19579)Instruction limit reached!
% 1.98/0.60  % (19579)------------------------------
% 1.98/0.60  % (19579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.60  % (19579)Termination reason: Unknown
% 1.98/0.60  % (19579)Termination phase: shuffling
% 1.98/0.60  
% 1.98/0.60  % (19579)Memory used [KB]: 2302
% 1.98/0.60  % (19579)Time elapsed: 0.014 s
% 1.98/0.60  % (19579)Instructions burned: 44 (million)
% 1.98/0.60  % (19579)------------------------------
% 1.98/0.60  % (19579)------------------------------
% 1.98/0.60  % (19585)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 Vampire---4 for (2997ds/432Mi)
% 1.98/0.61  % (19589)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2997ds/62Mi)
% 1.98/0.61  % (19432)Instruction limit reached!
% 1.98/0.61  % (19432)------------------------------
% 1.98/0.61  % (19432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.61  % (19432)Termination reason: Unknown
% 1.98/0.61  % (19432)Termination phase: Saturation
% 1.98/0.61  
% 1.98/0.61  % (19432)Memory used [KB]: 7803
% 1.98/0.61  % (19432)Time elapsed: 0.245 s
% 1.98/0.61  % (19432)Instructions burned: 712 (million)
% 1.98/0.61  % (19432)------------------------------
% 1.98/0.61  % (19432)------------------------------
% 1.98/0.61  % (19534)Instruction limit reached!
% 1.98/0.61  % (19534)------------------------------
% 1.98/0.61  % (19534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.61  % (19534)Termination reason: Unknown
% 1.98/0.61  % (19534)Termination phase: Saturation
% 1.98/0.61  
% 1.98/0.61  % (19534)Memory used [KB]: 9083
% 1.98/0.61  % (19534)Time elapsed: 0.135 s
% 1.98/0.61  % (19534)Instructions burned: 451 (million)
% 1.98/0.61  % (19534)------------------------------
% 1.98/0.61  % (19534)------------------------------
% 1.98/0.62  % (19593)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 Vampire---4 for (2996ds/31Mi)
% 1.98/0.62  % (19594)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2996ds/96Mi)
% 2.40/0.62  % (19589)Instruction limit reached!
% 2.40/0.62  % (19589)------------------------------
% 2.40/0.62  % (19589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.62  % (19589)Termination reason: Unknown
% 2.40/0.62  % (19589)Termination phase: shuffling
% 2.40/0.62  
% 2.40/0.62  % (19589)Memory used [KB]: 2686
% 2.40/0.62  % (19589)Time elapsed: 0.019 s
% 2.40/0.62  % (19589)Instructions burned: 62 (million)
% 2.40/0.62  % (19589)------------------------------
% 2.40/0.62  % (19589)------------------------------
% 2.40/0.63  % (19593)Instruction limit reached!
% 2.40/0.63  % (19593)------------------------------
% 2.40/0.63  % (19593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.63  % (19593)Termination reason: Unknown
% 2.40/0.63  % (19593)Termination phase: Property scanning
% 2.40/0.63  
% 2.40/0.63  % (19593)Memory used [KB]: 2046
% 2.40/0.63  % (19593)Time elapsed: 0.012 s
% 2.40/0.63  % (19593)Instructions burned: 33 (million)
% 2.40/0.63  % (19593)------------------------------
% 2.40/0.63  % (19593)------------------------------
% 2.40/0.63  % (19601)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 Vampire---4 for (2996ds/453Mi)
% 2.40/0.64  % (19450)Instruction limit reached!
% 2.40/0.64  % (19450)------------------------------
% 2.40/0.64  % (19450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.64  % (19450)Termination reason: Unknown
% 2.40/0.64  % (19450)Termination phase: Saturation
% 2.40/0.64  
% 2.40/0.64  % (19450)Memory used [KB]: 9083
% 2.40/0.64  % (19450)Time elapsed: 0.255 s
% 2.40/0.64  % (19450)Instructions burned: 779 (million)
% 2.40/0.64  % (19450)------------------------------
% 2.40/0.64  % (19450)------------------------------
% 2.40/0.64  % (19604)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2996ds/71Mi)
% 2.40/0.64  % (19608)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2996ds/83Mi)
% 2.40/0.65  % (19594)Instruction limit reached!
% 2.40/0.65  % (19594)------------------------------
% 2.40/0.65  % (19594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.65  % (19594)Termination reason: Unknown
% 2.40/0.65  % (19594)Termination phase: Function definition elimination
% 2.40/0.65  
% 2.40/0.65  % (19594)Memory used [KB]: 2814
% 2.40/0.65  % (19594)Time elapsed: 0.029 s
% 2.40/0.65  % (19594)Instructions burned: 99 (million)
% 2.40/0.65  % (19594)------------------------------
% 2.40/0.65  % (19594)------------------------------
% 2.40/0.66  % (19612)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2996ds/11Mi)
% 2.40/0.66  % (19612)Instruction limit reached!
% 2.40/0.66  % (19612)------------------------------
% 2.40/0.66  % (19612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.66  % (19612)Termination reason: Unknown
% 2.40/0.66  % (19612)Termination phase: shuffling
% 2.40/0.66  
% 2.40/0.66  % (19612)Memory used [KB]: 1791
% 2.40/0.66  % (19612)Time elapsed: 0.005 s
% 2.40/0.66  % (19612)Instructions burned: 13 (million)
% 2.40/0.66  % (19612)------------------------------
% 2.40/0.66  % (19612)------------------------------
% 2.59/0.66  % (19604)Instruction limit reached!
% 2.59/0.66  % (19604)------------------------------
% 2.59/0.66  % (19604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.66  % (19604)Termination reason: Unknown
% 2.59/0.66  % (19604)Termination phase: Preprocessing 3
% 2.59/0.66  
% 2.59/0.66  % (19604)Memory used [KB]: 2814
% 2.59/0.66  % (19604)Time elapsed: 0.025 s
% 2.59/0.66  % (19604)Instructions burned: 73 (million)
% 2.59/0.66  % (19604)------------------------------
% 2.59/0.66  % (19604)------------------------------
% 2.59/0.67  % (19617)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 Vampire---4 for (2996ds/41Mi)
% 2.59/0.67  % (19608)Instruction limit reached!
% 2.59/0.67  % (19608)------------------------------
% 2.59/0.67  % (19608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.67  % (19608)Termination reason: Unknown
% 2.59/0.67  % (19608)Termination phase: Saturation
% 2.59/0.67  
% 2.59/0.67  % (19608)Memory used [KB]: 6908
% 2.59/0.67  % (19608)Time elapsed: 0.027 s
% 2.59/0.67  % (19608)Instructions burned: 83 (million)
% 2.59/0.67  % (19608)------------------------------
% 2.59/0.67  % (19608)------------------------------
% 2.59/0.67  % (19619)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2996ds/6Mi)
% 2.59/0.67  % (19619)Instruction limit reached!
% 2.59/0.67  % (19619)------------------------------
% 2.59/0.67  % (19619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.67  % (19619)Termination reason: Unknown
% 2.59/0.67  % (19619)Termination phase: shuffling
% 2.59/0.67  
% 2.59/0.67  % (19619)Memory used [KB]: 1663
% 2.59/0.67  % (19619)Time elapsed: 0.004 s
% 2.59/0.67  % (19619)Instructions burned: 8 (million)
% 2.59/0.67  % (19619)------------------------------
% 2.59/0.67  % (19619)------------------------------
% 2.59/0.68  % (19626)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2996ds/150Mi)
% 2.59/0.68  % (19617)Instruction limit reached!
% 2.59/0.68  % (19617)------------------------------
% 2.59/0.68  % (19617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.68  % (19617)Termination reason: Unknown
% 2.59/0.68  % (19617)Termination phase: shuffling
% 2.59/0.68  
% 2.59/0.68  % (19617)Memory used [KB]: 2302
% 2.59/0.68  % (19617)Time elapsed: 0.013 s
% 2.59/0.68  % (19617)Instructions burned: 42 (million)
% 2.59/0.68  % (19617)------------------------------
% 2.59/0.68  % (19617)------------------------------
% 2.59/0.68  % (19630)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (2996ds/343Mi)
% 2.59/0.68  % (19455)Instruction limit reached!
% 2.59/0.68  % (19455)------------------------------
% 2.59/0.68  % (19455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.68  % (19455)Termination reason: Unknown
% 2.59/0.68  % (19455)Termination phase: Saturation
% 2.59/0.68  
% 2.59/0.68  % (19455)Memory used [KB]: 7291
% 2.59/0.68  % (19455)Time elapsed: 0.294 s
% 2.59/0.68  % (19455)Instructions burned: 879 (million)
% 2.59/0.68  % (19455)------------------------------
% 2.59/0.68  % (19455)------------------------------
% 2.59/0.69  % (19636)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 Vampire---4 for (2996ds/109Mi)
% 2.59/0.69  % (19640)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 Vampire---4 for (2996ds/253Mi)
% 2.59/0.70  % (19411)First to succeed.
% 2.59/0.70  % (19411)Refutation found. Thanks to Tanya!
% 2.59/0.70  % SZS status Theorem for Vampire---4
% 2.59/0.70  % SZS output start Proof for Vampire---4
% See solution above
% 2.59/0.71  % (19411)------------------------------
% 2.59/0.71  % (19411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.71  % (19411)Termination reason: Refutation
% 2.59/0.71  
% 2.59/0.71  % (19411)Memory used [KB]: 10490
% 2.59/0.71  % (19411)Time elapsed: 0.364 s
% 2.59/0.71  % (19411)Instructions burned: 1034 (million)
% 2.59/0.71  % (19411)------------------------------
% 2.59/0.71  % (19411)------------------------------
% 2.59/0.71  % (19376)Success in time 0.408 s
% 2.59/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------