TSTP Solution File: ITP090^1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ITP090^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n014.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 Jun 24 09:35:46 EDT 2024

% Result   : Theorem 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   97 (  31 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  159 (  21   ~;  11   |;   4   &; 122   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :   14 (  13 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   87 (  84 usr;  12 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^  12   !;   0   ?;  12   :)

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

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

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

thf(type_def_9,type,
    list_S529945141ession: $tType ).

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

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

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

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

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

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

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

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

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

thf(func_def_0,type,
    list_S529945141ession: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_13,type,
    localSecrets: secrecy_specID > set_Secrecy_KS ).

thf(func_def_14,type,
    knowle233900195orrect: secrecy_specID > secrecy_KS > $o ).

thf(func_def_15,type,
    knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).

thf(func_def_16,type,
    knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).

thf(func_def_17,type,
    sup_su1301156759ecy_KS: set_Secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).

thf(func_def_18,type,
    sup_su552545507y_Keys: set_Secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).

thf(func_def_19,type,
    sup_su1029080330ecrets: set_Secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).

thf(func_def_20,type,
    sup_su370684444chanID: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).

thf(func_def_21,type,
    sup_su1712599557specID: set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).

thf(func_def_22,type,
    mem_Se1967555118ession: secrecy_Expression > list_S529945141ession > $o ).

thf(func_def_23,type,
    bot_bot_Secrecy_KS_o: secrecy_KS > $o ).

thf(func_def_24,type,
    bot_bo2072920570Keys_o: secrecy_Keys > $o ).

thf(func_def_25,type,
    bot_bo1909946299rets_o: secrecy_Secrets > $o ).

thf(func_def_26,type,
    bot_bo1012329985anID_o: secrecy_chanID > $o ).

thf(func_def_27,type,
    bot_bo1767780696ecID_o: secrecy_specID > $o ).

thf(func_def_28,type,
    bot_bo1943466239ecy_KS: set_Secrecy_KS ).

thf(func_def_29,type,
    bot_bo701486667y_Keys: set_Secrecy_Keys ).

thf(func_def_30,type,
    bot_bo1124690338ecrets: set_Secrecy_Secrets ).

thf(func_def_31,type,
    bot_bo443197316chanID: set_Secrecy_chanID ).

thf(func_def_32,type,
    bot_bo1785112429specID: set_Secrecy_specID ).

thf(func_def_33,type,
    ord_le1802272080chanID: set_Secrecy_chanID > set_Secrecy_chanID > $o ).

thf(func_def_34,type,
    decr: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_35,type,
    enc: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_36,type,
    encrDecrKeys: secrecy_Keys > secrecy_Keys > $o ).

thf(func_def_37,type,
    ext: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_38,type,
    sign: secrecy_Keys > list_S529945141ession > list_S529945141ession ).

thf(func_def_39,type,
    correctCompositionKS: secrecy_specID > $o ).

thf(func_def_40,type,
    eout: secrecy_specID > secrecy_Expression > $o ).

thf(func_def_41,type,
    eoutM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_42,type,
    exprChannel: secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_43,type,
    ine: secrecy_specID > secrecy_Expression > $o ).

thf(func_def_44,type,
    ineM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_45,type,
    ine_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_46,type,
    ine_ex1303305700Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_47,type,
    notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).

thf(func_def_48,type,
    out_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_49,type,
    out_ex985543062Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).

thf(func_def_50,type,
    specKeys: secrecy_specID > set_Secrecy_Keys ).

thf(func_def_51,type,
    specKeysSecrets: secrecy_specID > set_Secrecy_KS ).

thf(func_def_52,type,
    specSecrets: secrecy_specID > set_Secrecy_Secrets ).

thf(func_def_53,type,
    secrecy_kE: secrecy_Keys > secrecy_Expression ).

thf(func_def_54,type,
    secrecy_sE: secrecy_Secrets > secrecy_Expression ).

thf(func_def_55,type,
    secrec1016742679ession: secrecy_KS > secrecy_Expression ).

thf(func_def_56,type,
    secrecy_kKS: secrecy_Keys > secrecy_KS ).

thf(func_def_57,type,
    secrecy_sKS: secrecy_Secrets > secrecy_KS ).

thf(func_def_58,type,
    collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).

thf(func_def_59,type,
    collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).

thf(func_def_60,type,
    collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).

thf(func_def_61,type,
    collec625564175chanID: ( secrecy_chanID > $o ) > set_Secrecy_chanID ).

thf(func_def_62,type,
    collec1545797240specID: ( secrecy_specID > $o ) > set_Secrecy_specID ).

thf(func_def_63,type,
    insert_Secrecy_KS: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).

thf(func_def_64,type,
    insert_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).

thf(func_def_65,type,
    insert565337510ecrets: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).

thf(func_def_66,type,
    insert751661162chanID: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).

thf(func_def_67,type,
    insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).

thf(func_def_68,type,
    is_emp928984296chanID: set_Secrecy_chanID > $o ).

thf(func_def_69,type,
    is_emp1849217361specID: set_Secrecy_specID > $o ).

thf(func_def_70,type,
    is_sin1442426433ecy_KS: set_Secrecy_KS > $o ).

thf(func_def_71,type,
    is_sin1096471309y_Keys: set_Secrecy_Keys > $o ).

thf(func_def_72,type,
    is_sin1002224330ecrets: set_Secrecy_Secrets > $o ).

thf(func_def_73,type,
    is_sin581274182chanID: set_Secrecy_chanID > $o ).

thf(func_def_74,type,
    is_sin1501507247specID: set_Secrecy_specID > $o ).

thf(func_def_75,type,
    the_el2054381829chanID: set_Secrecy_chanID > secrecy_chanID ).

thf(func_def_76,type,
    the_el827131246specID: set_Secrecy_specID > secrecy_specID ).

thf(func_def_77,type,
    correctCompositionIn: secrecy_specID > $o ).

thf(func_def_78,type,
    correc965049635ionLoc: secrecy_specID > $o ).

thf(func_def_79,type,
    correc990227761ionOut: secrecy_specID > $o ).

thf(func_def_80,type,
    inStream: secrecy_specID > set_Secrecy_chanID > $o ).

thf(func_def_81,type,
    ins: secrecy_specID > set_Secrecy_chanID ).

thf(func_def_82,type,
    loc: secrecy_specID > set_Secrecy_chanID ).

thf(func_def_83,type,
    locStream: secrecy_specID > set_Secrecy_chanID > $o ).

thf(func_def_84,type,
    out: secrecy_specID > set_Secrecy_chanID ).

thf(func_def_85,type,
    outStream: secrecy_specID > set_Secrecy_chanID > $o ).

thf(func_def_86,type,
    subcomponents: secrecy_specID > set_Secrecy_specID ).

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

thf(func_def_88,type,
    member_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > $o ).

thf(func_def_89,type,
    member2138796287ecrets: secrecy_Secrets > set_Secrecy_Secrets > $o ).

thf(func_def_90,type,
    member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).

thf(func_def_91,type,
    member740727610specID: secrecy_specID > set_Secrecy_specID > $o ).

thf(func_def_92,type,
    p: secrecy_specID ).

thf(func_def_93,type,
    pq: secrecy_specID ).

thf(func_def_94,type,
    q: secrecy_specID ).

thf(func_def_95,type,
    key: secrecy_Keys ).

thf(func_def_96,type,
    m: secrecy_KS ).

thf(f998,plain,
    $false,
    inference(subsumption_resolution,[],[f996,f991]) ).

thf(f991,plain,
    ( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
   != $true ),
    inference(definition_unfolding,[],[f986,f982]) ).

thf(f982,plain,
    ( m
    = ( secrecy_kKS @ key ) ),
    inference(cnf_transformation,[],[f2]) ).

thf(f2,axiom,
    ( m
    = ( secrecy_kKS @ key ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_a1) ).

thf(f986,plain,
    ( ( knowle945212990e_know @ q @ m )
   != $true ),
    inference(cnf_transformation,[],[f971]) ).

thf(f971,plain,
    ( ( knowle945212990e_know @ q @ m )
   != $true ),
    inference(flattening,[],[f600]) ).

thf(f600,plain,
    ( ( knowle945212990e_know @ q @ m )
   != $true ),
    inference(fool_elimination,[],[f599]) ).

thf(f599,plain,
    ~ ( knowle945212990e_know @ q @ m ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ~ ( knowle945212990e_know @ q @ m ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_not__knowQm) ).

thf(f996,plain,
    ( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f994]) ).

thf(f994,plain,
    ( ( $true != $true )
    | ( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
      = $true ) ),
    inference(superposition,[],[f984,f978]) ).

thf(f978,plain,
    ( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
    = $true ),
    inference(cnf_transformation,[],[f969]) ).

thf(f969,plain,
    ( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
    = $true ),
    inference(flattening,[],[f478]) ).

thf(f478,plain,
    ~ ( ( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
       != $true ) ),
    inference(fool_elimination,[],[f477]) ).

thf(f477,plain,
    ~ ~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
    inference(rectify,[],[f357]) ).

thf(f357,negated_conjecture,
    ~ ~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
    inference(negated_conjecture,[],[f356]) ).

thf(f356,conjecture,
    ~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f984,plain,
    ! [X0: secrecy_specID,X1: secrecy_Keys] :
      ( ( $true
       != ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) )
      | ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f977]) ).

thf(f977,plain,
    ! [X0: secrecy_specID,X1: secrecy_Keys] :
      ( ( ( $true
          = ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) )
        | ( $true
          = ( ine @ X0 @ ( secrecy_kE @ X1 ) ) )
        | ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
         != $true ) )
      & ( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
          = $true )
        | ( ( $true
           != ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) )
          & ( $true
           != ( ine @ X0 @ ( secrecy_kE @ X1 ) ) ) ) ) ),
    inference(flattening,[],[f976]) ).

thf(f976,plain,
    ! [X0: secrecy_specID,X1: secrecy_Keys] :
      ( ( ( $true
          = ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) )
        | ( $true
          = ( ine @ X0 @ ( secrecy_kE @ X1 ) ) )
        | ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
         != $true ) )
      & ( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
          = $true )
        | ( ( $true
           != ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) )
          & ( $true
           != ( ine @ X0 @ ( secrecy_kE @ X1 ) ) ) ) ) ),
    inference(nnf_transformation,[],[f736]) ).

thf(f736,plain,
    ! [X0: secrecy_specID,X1: secrecy_Keys] :
      ( ( ( $true
          = ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) )
        | ( $true
          = ( ine @ X0 @ ( secrecy_kE @ X1 ) ) ) )
    <=> ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
        = $true ) ),
    inference(fool_elimination,[],[f735]) ).

thf(f735,plain,
    ! [X0: secrecy_specID,X1: secrecy_Keys] :
      ( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
        = ( ine @ X0 @ ( secrecy_kE @ X1 ) ) )
      | ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) ) ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ! [X2: secrecy_specID,X3: secrecy_Keys] :
      ( ( ( knowle945212990e_know @ X2 @ ( secrecy_kKS @ X3 ) )
        = ( ine @ X2 @ ( secrecy_kE @ X3 ) ) )
      | ( member_Secrecy_KS @ ( secrecy_kKS @ X3 ) @ ( localSecrets @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_know_Osimps_I1_J) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : ITP090^1 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Jun 19 00:11:54 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.37  This is a TH0_THM_EQU_NAR problem
% 0.14/0.38  Running higher-order theorem proving
% 0.14/0.38  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.14/0.42  % (12266)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.44  % (12266)Instruction limit reached!
% 0.23/0.44  % (12266)------------------------------
% 0.23/0.44  % (12266)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44  % (12266)Termination reason: Unknown
% 0.23/0.44  % (12266)Termination phase: shuffling
% 0.23/0.44  
% 0.23/0.44  % (12266)Memory used [KB]: 1791
% 0.23/0.44  % (12266)Time elapsed: 0.015 s
% 0.23/0.44  % (12266)Instructions burned: 18 (million)
% 0.23/0.44  % (12266)------------------------------
% 0.23/0.44  % (12266)------------------------------
% 0.23/0.44  % (12262)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 (2999ds/27Mi)
% 0.23/0.44  % (12264)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 (2999ds/2Mi)
% 0.23/0.44  % (12265)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 (2999ds/275Mi)
% 0.23/0.44  % (12260)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.44  % (12264)Instruction limit reached!
% 0.23/0.44  % (12264)------------------------------
% 0.23/0.44  % (12264)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44  % (12264)Termination reason: Unknown
% 0.23/0.44  % (12264)Termination phase: shuffling
% 0.23/0.44  
% 0.23/0.44  % (12264)Memory used [KB]: 1407
% 0.23/0.44  % (12264)Time elapsed: 0.004 s
% 0.23/0.44  % (12264)Instructions burned: 2 (million)
% 0.23/0.44  % (12264)------------------------------
% 0.23/0.44  % (12264)------------------------------
% 0.23/0.44  % (12261)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 (2999ds/4Mi)
% 0.23/0.44  % (12261)Instruction limit reached!
% 0.23/0.44  % (12261)------------------------------
% 0.23/0.44  % (12261)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44  % (12261)Termination reason: Unknown
% 0.23/0.44  % (12261)Termination phase: shuffling
% 0.23/0.44  
% 0.23/0.44  % (12261)Memory used [KB]: 1535
% 0.23/0.44  % (12261)Time elapsed: 0.006 s
% 0.23/0.44  % (12261)Instructions burned: 5 (million)
% 0.23/0.44  % (12261)------------------------------
% 0.23/0.44  % (12261)------------------------------
% 0.23/0.45  % (12263)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.45  % (12263)Instruction limit reached!
% 0.23/0.45  % (12263)------------------------------
% 0.23/0.45  % (12263)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45  % (12263)Termination reason: Unknown
% 0.23/0.45  % (12263)Termination phase: shuffling
% 0.23/0.45  
% 0.23/0.45  % (12263)Memory used [KB]: 1407
% 0.23/0.45  % (12263)Time elapsed: 0.003 s
% 0.23/0.45  % (12263)Instructions burned: 2 (million)
% 0.23/0.45  % (12263)------------------------------
% 0.23/0.45  % (12263)------------------------------
% 0.23/0.45  % (12267)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.45  % (12268)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 (2999ds/37Mi)
% 0.23/0.45  % (12267)Instruction limit reached!
% 0.23/0.45  % (12267)------------------------------
% 0.23/0.45  % (12267)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45  % (12267)Termination reason: Unknown
% 0.23/0.45  % (12267)Termination phase: shuffling
% 0.23/0.45  
% 0.23/0.45  % (12267)Memory used [KB]: 1535
% 0.23/0.45  % (12267)Time elapsed: 0.004 s
% 0.23/0.45  % (12267)Instructions burned: 4 (million)
% 0.23/0.45  % (12267)------------------------------
% 0.23/0.45  % (12267)------------------------------
% 0.23/0.46  % (12262)Instruction limit reached!
% 0.23/0.46  % (12262)------------------------------
% 0.23/0.46  % (12262)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.46  % (12262)Termination reason: Unknown
% 0.23/0.46  % (12262)Termination phase: shuffling
% 0.23/0.46  
% 0.23/0.46  % (12262)Memory used [KB]: 2046
% 0.23/0.46  % (12262)Time elapsed: 0.021 s
% 0.23/0.46  % (12262)Instructions burned: 27 (million)
% 0.23/0.46  % (12262)------------------------------
% 0.23/0.46  % (12262)------------------------------
% 0.23/0.46  % (12269)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 (2999ds/15Mi)
% 0.23/0.46  % (12270)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 (2999ds/3Mi)
% 0.23/0.47  % (12270)Instruction limit reached!
% 0.23/0.47  % (12270)------------------------------
% 0.23/0.47  % (12270)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47  % (12270)Termination reason: Unknown
% 0.23/0.47  % (12270)Termination phase: shuffling
% 0.23/0.47  
% 0.23/0.47  % (12270)Memory used [KB]: 1535
% 0.23/0.47  % (12270)Time elapsed: 0.004 s
% 0.23/0.47  % (12270)Instructions burned: 3 (million)
% 0.23/0.47  % (12270)------------------------------
% 0.23/0.47  % (12270)------------------------------
% 0.23/0.47  % (12271)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 (2999ds/1041Mi)
% 0.23/0.47  % (12268)Instruction limit reached!
% 0.23/0.47  % (12268)------------------------------
% 0.23/0.47  % (12268)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47  % (12268)Termination reason: Unknown
% 0.23/0.47  % (12268)Termination phase: shuffling
% 0.23/0.47  
% 0.23/0.47  % (12268)Memory used [KB]: 2302
% 0.23/0.47  % (12268)Time elapsed: 0.019 s
% 0.23/0.47  % (12268)Instructions burned: 39 (million)
% 0.23/0.47  % (12268)------------------------------
% 0.23/0.47  % (12268)------------------------------
% 0.23/0.47  % (12269)Instruction limit reached!
% 0.23/0.47  % (12269)------------------------------
% 0.23/0.47  % (12269)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47  % (12269)Termination reason: Unknown
% 0.23/0.47  % (12269)Termination phase: shuffling
% 0.23/0.47  
% 0.23/0.47  % (12269)Memory used [KB]: 1791
% 0.23/0.47  % (12269)Time elapsed: 0.012 s
% 0.23/0.47  % (12269)Instructions burned: 15 (million)
% 0.23/0.47  % (12269)------------------------------
% 0.23/0.47  % (12269)------------------------------
% 0.23/0.47  % (12265)Refutation not found, incomplete strategy
% 0.23/0.47  % (12265)------------------------------
% 0.23/0.47  % (12265)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47  % (12265)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  % (12265)Memory used [KB]: 6652
% 0.23/0.47  % (12265)Time elapsed: 0.037 s
% 0.23/0.47  % (12265)Instructions burned: 54 (million)
% 0.23/0.47  % (12265)------------------------------
% 0.23/0.47  % (12265)------------------------------
% 0.23/0.47  % (12272)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.48  % (12272)Instruction limit reached!
% 0.23/0.48  % (12272)------------------------------
% 0.23/0.48  % (12272)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.48  % (12272)Termination reason: Unknown
% 0.23/0.48  % (12272)Termination phase: shuffling
% 0.23/0.48  
% 0.23/0.48  % (12272)Memory used [KB]: 1535
% 0.23/0.48  % (12272)Time elapsed: 0.007 s
% 0.23/0.48  % (12272)Instructions burned: 7 (million)
% 0.23/0.48  % (12272)------------------------------
% 0.23/0.48  % (12272)------------------------------
% 0.23/0.48  % (12273)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.49  % (12275)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 (2999ds/3Mi)
% 0.23/0.49  % (12274)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 (2999ds/3Mi)
% 0.23/0.49  % (12275)Instruction limit reached!
% 0.23/0.49  % (12275)------------------------------
% 0.23/0.49  % (12275)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49  % (12274)Instruction limit reached!
% 0.23/0.49  % (12274)------------------------------
% 0.23/0.49  % (12274)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49  % (12274)Termination reason: Unknown
% 0.23/0.49  % (12274)Termination phase: shuffling
% 0.23/0.49  
% 0.23/0.49  % (12274)Memory used [KB]: 1535
% 0.23/0.49  % (12274)Time elapsed: 0.004 s
% 0.23/0.49  % (12274)Instructions burned: 4 (million)
% 0.23/0.49  % (12274)------------------------------
% 0.23/0.49  % (12274)------------------------------
% 0.23/0.49  % (12275)Termination reason: Unknown
% 0.23/0.49  % (12275)Termination phase: shuffling
% 0.23/0.49  
% 0.23/0.49  % (12275)Memory used [KB]: 1535
% 0.23/0.49  % (12275)Time elapsed: 0.005 s
% 0.23/0.49  % (12275)Instructions burned: 3 (million)
% 0.23/0.49  % (12275)------------------------------
% 0.23/0.49  % (12275)------------------------------
% 0.23/0.49  % (12276)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.49  % (12273)Instruction limit reached!
% 0.23/0.49  % (12273)------------------------------
% 0.23/0.49  % (12273)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49  % (12273)Termination reason: Unknown
% 0.23/0.49  % (12273)Termination phase: shuffling
% 0.23/0.49  
% 0.23/0.49  % (12273)Memory used [KB]: 1791
% 0.23/0.49  % (12273)Time elapsed: 0.010 s
% 0.23/0.49  % (12273)Instructions burned: 16 (million)
% 0.23/0.49  % (12273)------------------------------
% 0.23/0.49  % (12273)------------------------------
% 0.23/0.49  % (12276)Instruction limit reached!
% 0.23/0.49  % (12276)------------------------------
% 0.23/0.49  % (12276)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49  % (12276)Termination reason: Unknown
% 0.23/0.49  % (12276)Termination phase: shuffling
% 0.23/0.49  
% 0.23/0.49  % (12276)Memory used [KB]: 1535
% 0.23/0.49  % (12276)Time elapsed: 0.007 s
% 0.23/0.49  % (12276)Instructions burned: 7 (million)
% 0.23/0.49  % (12276)------------------------------
% 0.23/0.49  % (12276)------------------------------
% 0.23/0.50  % (12277)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 (2999ds/3Mi)
% 0.23/0.50  % (12277)Instruction limit reached!
% 0.23/0.50  % (12277)------------------------------
% 0.23/0.50  % (12277)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.50  % (12277)Termination reason: Unknown
% 0.23/0.50  % (12277)Termination phase: shuffling
% 0.23/0.50  
% 0.23/0.50  % (12277)Memory used [KB]: 1535
% 0.23/0.50  % (12277)Time elapsed: 0.005 s
% 0.23/0.50  % (12277)Instructions burned: 4 (million)
% 0.23/0.50  % (12277)------------------------------
% 0.23/0.50  % (12277)------------------------------
% 0.23/0.50  % (12278)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.23/0.50  % (12279)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 (2998ds/18Mi)
% 0.23/0.51  % (12278)Instruction limit reached!
% 0.23/0.51  % (12278)------------------------------
% 0.23/0.51  % (12278)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.51  % (12278)Termination reason: Unknown
% 0.23/0.51  % (12278)Termination phase: shuffling
% 0.23/0.51  
% 0.23/0.51  % (12278)Memory used [KB]: 1535
% 0.23/0.51  % (12278)Time elapsed: 0.005 s
% 0.23/0.51  % (12278)Instructions burned: 5 (million)
% 0.23/0.51  % (12278)------------------------------
% 0.23/0.51  % (12278)------------------------------
% 0.23/0.51  % (12280)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.23/0.51  % (12281)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.23/0.51  % (12260)Instruction limit reached!
% 0.23/0.51  % (12260)------------------------------
% 0.23/0.51  % (12260)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.51  % (12260)Termination reason: Unknown
% 0.23/0.51  % (12260)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (12260)Memory used [KB]: 7547
% 0.23/0.51  % (12260)Time elapsed: 0.074 s
% 0.23/0.51  % (12260)Instructions burned: 184 (million)
% 0.23/0.51  % (12260)------------------------------
% 0.23/0.51  % (12260)------------------------------
% 0.23/0.51  % (12282)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 (2998ds/902Mi)
% 0.23/0.51  % (12281)Instruction limit reached!
% 0.23/0.51  % (12281)------------------------------
% 0.23/0.51  % (12281)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.51  % (12281)Termination reason: Unknown
% 0.23/0.51  % (12281)Termination phase: shuffling
% 0.23/0.51  
% 0.23/0.51  % (12281)Memory used [KB]: 1535
% 0.23/0.51  % (12281)Time elapsed: 0.006 s
% 0.23/0.51  % (12281)Instructions burned: 7 (million)
% 0.23/0.51  % (12281)------------------------------
% 0.23/0.51  % (12281)------------------------------
% 0.23/0.51  % (12279)Instruction limit reached!
% 0.23/0.51  % (12279)------------------------------
% 0.23/0.51  % (12279)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.51  % (12279)Termination reason: Unknown
% 0.23/0.51  % (12279)Termination phase: shuffling
% 0.23/0.51  
% 0.23/0.51  % (12279)Memory used [KB]: 1918
% 0.23/0.51  % (12279)Time elapsed: 0.012 s
% 0.23/0.51  % (12279)Instructions burned: 18 (million)
% 0.23/0.51  % (12279)------------------------------
% 0.23/0.51  % (12279)------------------------------
% 0.23/0.52  % (12284)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.23/0.52  % (12283)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 (2998ds/21Mi)
% 0.23/0.52  % (12284)Instruction limit reached!
% 0.23/0.52  % (12284)------------------------------
% 0.23/0.52  % (12284)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.52  % (12284)Termination reason: Unknown
% 0.23/0.52  % (12284)Termination phase: shuffling
% 0.23/0.52  
% 0.23/0.52  % (12284)Memory used [KB]: 1535
% 0.23/0.52  % (12284)Time elapsed: 0.004 s
% 0.23/0.52  % (12284)Instructions burned: 6 (million)
% 0.23/0.52  % (12284)------------------------------
% 0.23/0.52  % (12284)------------------------------
% 0.23/0.52  % (12285)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 (2998ds/6Mi)
% 0.23/0.52  % (12286)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.53  % (12285)Instruction limit reached!
% 0.23/0.53  % (12285)------------------------------
% 0.23/0.53  % (12285)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.53  % (12285)Termination reason: Unknown
% 0.23/0.53  % (12285)Termination phase: shuffling
% 0.23/0.53  
% 0.23/0.53  % (12285)Memory used [KB]: 1535
% 0.23/0.53  % (12285)Time elapsed: 0.004 s
% 0.23/0.53  % (12285)Instructions burned: 6 (million)
% 0.23/0.53  % (12285)------------------------------
% 0.23/0.53  % (12285)------------------------------
% 0.23/0.53  % (12287)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 (2998ds/779Mi)
% 0.23/0.53  % (12283)Instruction limit reached!
% 0.23/0.53  % (12283)------------------------------
% 0.23/0.53  % (12283)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.53  % (12283)Termination reason: Unknown
% 0.23/0.53  % (12283)Termination phase: shuffling
% 0.23/0.53  
% 0.23/0.53  % (12283)Memory used [KB]: 1918
% 0.23/0.53  % (12283)Time elapsed: 0.013 s
% 0.23/0.53  % (12283)Instructions burned: 21 (million)
% 0.23/0.53  % (12283)------------------------------
% 0.23/0.53  % (12283)------------------------------
% 0.23/0.53  % (12280)First to succeed.
% 0.23/0.54  % (12280)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Theorem for theBenchmark
% 0.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54  % (12280)------------------------------
% 0.23/0.54  % (12280)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.54  % (12280)Termination reason: Refutation
% 0.23/0.54  
% 0.23/0.54  % (12280)Memory used [KB]: 6652
% 0.23/0.54  % (12280)Time elapsed: 0.029 s
% 0.23/0.54  % (12280)Instructions burned: 52 (million)
% 0.23/0.54  % (12280)------------------------------
% 0.23/0.54  % (12280)------------------------------
% 0.23/0.54  % (12259)Success in time 0.143 s
%------------------------------------------------------------------------------