TSTP Solution File: ITP115^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP115^1 : TPTP v8.2.0. 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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:33:44 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  116 (  12 unt;  61 typ;   0 def)
%            Number of atoms       :  326 ( 123 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  393 (  70   ~;  70   |;  40   &; 202   @)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   85 (  85   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   61 (  58 usr;  14 con; 0-4 aty)
%            Number of variables   :   29 (   0   ^  19   !;  10   ?;  29   :)

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

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

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

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

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

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

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

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

thf(func_def_4,type,
    minus_minus_set_a: set_a > set_a > set_a ).

thf(func_def_5,type,
    minus_minus_set_b: set_b > set_b > set_b ).

thf(func_def_6,type,
    inf_inf_set_a: set_a > set_a > set_a ).

thf(func_def_7,type,
    inf_inf_set_b: set_b > set_b > set_b ).

thf(func_def_8,type,
    inf_inf_b: b > b > b ).

thf(func_def_9,type,
    lower_464587817at_a_b: a > ( a > b ) > $o ).

thf(func_def_10,type,
    bot_bot_a_o: a > $o ).

thf(func_def_11,type,
    bot_bot_b_o: b > $o ).

thf(func_def_12,type,
    bot_bot_set_a: set_a ).

thf(func_def_13,type,
    bot_bot_set_b: set_b ).

thf(func_def_14,type,
    bot_bot_b: b ).

thf(func_def_15,type,
    ord_less_eq_set_a: set_a > set_a > $o ).

thf(func_def_16,type,
    ord_less_eq_set_b: set_b > set_b > $o ).

thf(func_def_17,type,
    ord_less_eq_b: b > b > $o ).

thf(func_def_18,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_19,type,
    collect_b: ( b > $o ) > set_b ).

thf(func_def_20,type,
    insert_a: a > set_a > set_a ).

thf(func_def_21,type,
    insert_b: b > set_b > set_b ).

thf(func_def_22,type,
    is_empty_a: set_a > $o ).

thf(func_def_23,type,
    is_empty_b: set_b > $o ).

thf(func_def_24,type,
    is_singleton_a: set_a > $o ).

thf(func_def_25,type,
    is_singleton_b: set_b > $o ).

thf(func_def_26,type,
    the_elem_a: set_a > a ).

thf(func_def_27,type,
    the_elem_b: set_b > b ).

thf(func_def_28,type,
    topolo1276428101open_a: set_a > $o ).

thf(func_def_29,type,
    topolo1276428102open_b: set_b > $o ).

thf(func_def_30,type,
    member_a: a > set_a > $o ).

thf(func_def_31,type,
    member_b: b > set_b > $o ).

thf(func_def_32,type,
    a2: b ).

thf(func_def_33,type,
    f: a > b ).

thf(func_def_35,type,
    x0: a ).

thf(func_def_45,type,
    sP0: set_b > b > b > set_b > $o ).

thf(func_def_46,type,
    sP1: b > set_b > b > set_b > $o ).

thf(func_def_47,type,
    sK2: set_b ).

thf(func_def_48,type,
    sK3: set_b ).

thf(func_def_49,type,
    sK4: set_b > b > b > set_b > set_b ).

thf(func_def_50,type,
    sK5: set_b > b ).

thf(func_def_51,type,
    sK6: b > set_b > set_b ).

thf(func_def_52,type,
    sK7: b > b > set_b ).

thf(func_def_53,type,
    sK8: set_b > set_b > b ).

thf(func_def_54,type,
    sK9: set_b > set_b > b ).

thf(func_def_55,type,
    sK10: set_b > b ).

thf(func_def_56,type,
    sK11: b > b > set_b ).

thf(func_def_57,type,
    sK12: b > b > set_b ).

thf(func_def_58,type,
    sK13: b > b > set_b ).

thf(func_def_59,type,
    sK14: set_b > set_b > b ).

thf(func_def_60,type,
    sK15: set_b > set_b > b ).

thf(func_def_61,type,
    sK16: set_b > b > set_b ).

thf(func_def_62,type,
    sK17: set_b > b ).

thf(func_def_63,type,
    sK18: b > b > set_b ).

thf(func_def_64,type,
    sK19: b > b > set_b ).

thf(func_def_65,type,
    sK20: b > b > set_b ).

thf(func_def_66,type,
    sK21: b > b > set_b ).

thf(f1483,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1337,f1346,f1409,f1446,f1482]) ).

thf(f1482,plain,
    spl22_5,
    inference(avatar_contradiction_clause,[],[f1481]) ).

thf(f1481,plain,
    ( $false
    | spl22_5 ),
    inference(subsumption_resolution,[],[f1480,f1117]) ).

thf(f1117,plain,
    ( a2
   != ( f @ x0 ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    ( a2
   != ( f @ x0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062) ).

thf(f1480,plain,
    ( ( a2
      = ( f @ x0 ) )
    | spl22_5 ),
    inference(trivial_inequality_removal,[],[f1479]) ).

thf(f1479,plain,
    ( ( a2
      = ( f @ x0 ) )
    | ( $true != $true )
    | spl22_5 ),
    inference(superposition,[],[f1404,f1095]) ).

thf(f1095,plain,
    ( ( ( topolo1276428102open_b @ sK2 )
      = $true )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(cnf_transformation,[],[f1024]) ).

thf(f1024,plain,
    ( ( ( $true
        = ( member_b @ a2 @ sK2 ) )
      & ( ( topolo1276428102open_b @ sK3 )
        = $true )
      & ( ( topolo1276428102open_b @ sK2 )
        = $true )
      & ( bot_bot_set_b
        = ( inf_inf_set_b @ sK3 @ sK2 ) )
      & ( ( member_b @ ( f @ x0 ) @ sK3 )
        = $true ) )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f989,f1023]) ).

thf(f1023,plain,
    ( ? [X0: set_b,X1: set_b] :
        ( ( $true
          = ( member_b @ a2 @ X0 ) )
        & ( ( topolo1276428102open_b @ X1 )
          = $true )
        & ( ( topolo1276428102open_b @ X0 )
          = $true )
        & ( bot_bot_set_b
          = ( inf_inf_set_b @ X1 @ X0 ) )
        & ( ( member_b @ ( f @ x0 ) @ X1 )
          = $true ) )
   => ( ( $true
        = ( member_b @ a2 @ sK2 ) )
      & ( ( topolo1276428102open_b @ sK3 )
        = $true )
      & ( ( topolo1276428102open_b @ sK2 )
        = $true )
      & ( bot_bot_set_b
        = ( inf_inf_set_b @ sK3 @ sK2 ) )
      & ( ( member_b @ ( f @ x0 ) @ sK3 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f989,plain,
    ( ? [X0: set_b,X1: set_b] :
        ( ( $true
          = ( member_b @ a2 @ X0 ) )
        & ( ( topolo1276428102open_b @ X1 )
          = $true )
        & ( ( topolo1276428102open_b @ X0 )
          = $true )
        & ( bot_bot_set_b
          = ( inf_inf_set_b @ X1 @ X0 ) )
        & ( ( member_b @ ( f @ x0 ) @ X1 )
          = $true ) )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(ennf_transformation,[],[f725]) ).

thf(f725,plain,
    ( ( a2
     != ( f @ x0 ) )
   => ? [X0: set_b,X1: set_b] :
        ( ( $true
          = ( member_b @ a2 @ X0 ) )
        & ( ( topolo1276428102open_b @ X1 )
          = $true )
        & ( ( topolo1276428102open_b @ X0 )
          = $true )
        & ( bot_bot_set_b
          = ( inf_inf_set_b @ X1 @ X0 ) )
        & ( ( member_b @ ( f @ x0 ) @ X1 )
          = $true ) ) ),
    inference(fool_elimination,[],[f724]) ).

thf(f724,plain,
    ( ( a2
     != ( f @ x0 ) )
   => ? [X0: set_b,X1: set_b] :
        ( ( bot_bot_set_b
          = ( inf_inf_set_b @ X1 @ X0 ) )
        & ( member_b @ a2 @ X0 )
        & ( member_b @ ( f @ x0 ) @ X1 )
        & ( topolo1276428102open_b @ X1 )
        & ( topolo1276428102open_b @ X0 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( ( a2
     != ( f @ x0 ) )
   => ? [X1: set_b,X0: set_b] :
        ( ( ( inf_inf_set_b @ X0 @ X1 )
          = bot_bot_set_b )
        & ( member_b @ a2 @ X1 )
        & ( member_b @ ( f @ x0 ) @ X0 )
        & ( topolo1276428102open_b @ X0 )
        & ( topolo1276428102open_b @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062) ).

thf(f1404,plain,
    ( ( ( topolo1276428102open_b @ sK2 )
     != $true )
    | spl22_5 ),
    inference(avatar_component_clause,[],[f1402]) ).

thf(f1402,plain,
    ( spl22_5
  <=> ( ( topolo1276428102open_b @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

thf(f1446,plain,
    spl22_6,
    inference(avatar_contradiction_clause,[],[f1445]) ).

thf(f1445,plain,
    ( $false
    | spl22_6 ),
    inference(subsumption_resolution,[],[f1444,f1117]) ).

thf(f1444,plain,
    ( ( a2
      = ( f @ x0 ) )
    | spl22_6 ),
    inference(trivial_inequality_removal,[],[f1443]) ).

thf(f1443,plain,
    ( ( a2
      = ( f @ x0 ) )
    | ( bot_bot_set_b != bot_bot_set_b )
    | spl22_6 ),
    inference(superposition,[],[f1408,f1094]) ).

thf(f1094,plain,
    ( ( bot_bot_set_b
      = ( inf_inf_set_b @ sK3 @ sK2 ) )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(cnf_transformation,[],[f1024]) ).

thf(f1408,plain,
    ( ( bot_bot_set_b
     != ( inf_inf_set_b @ sK3 @ sK2 ) )
    | spl22_6 ),
    inference(avatar_component_clause,[],[f1406]) ).

thf(f1406,plain,
    ( spl22_6
  <=> ( bot_bot_set_b
      = ( inf_inf_set_b @ sK3 @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

thf(f1409,plain,
    ( ~ spl22_5
    | ~ spl22_6
    | ~ spl22_1 ),
    inference(avatar_split_clause,[],[f1400,f1331,f1406,f1402]) ).

thf(f1331,plain,
    ( spl22_1
  <=> ! [X0: set_b] :
        ( ( $true
         != ( member_b @ a2 @ X0 ) )
        | ( bot_bot_set_b
         != ( inf_inf_set_b @ sK3 @ X0 ) )
        | ( ( topolo1276428102open_b @ X0 )
         != $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

thf(f1400,plain,
    ( ( ( topolo1276428102open_b @ sK2 )
     != $true )
    | ( bot_bot_set_b
     != ( inf_inf_set_b @ sK3 @ sK2 ) )
    | ~ spl22_1 ),
    inference(subsumption_resolution,[],[f1369,f1117]) ).

thf(f1369,plain,
    ( ( ( topolo1276428102open_b @ sK2 )
     != $true )
    | ( bot_bot_set_b
     != ( inf_inf_set_b @ sK3 @ sK2 ) )
    | ( a2
      = ( f @ x0 ) )
    | ~ spl22_1 ),
    inference(trivial_inequality_removal,[],[f1365]) ).

thf(f1365,plain,
    ( ( bot_bot_set_b
     != ( inf_inf_set_b @ sK3 @ sK2 ) )
    | ( ( topolo1276428102open_b @ sK2 )
     != $true )
    | ( $true != $true )
    | ( a2
      = ( f @ x0 ) )
    | ~ spl22_1 ),
    inference(superposition,[],[f1332,f1097]) ).

thf(f1097,plain,
    ( ( $true
      = ( member_b @ a2 @ sK2 ) )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(cnf_transformation,[],[f1024]) ).

thf(f1332,plain,
    ( ! [X0: set_b] :
        ( ( $true
         != ( member_b @ a2 @ X0 ) )
        | ( bot_bot_set_b
         != ( inf_inf_set_b @ sK3 @ X0 ) )
        | ( ( topolo1276428102open_b @ X0 )
         != $true ) )
    | ~ spl22_1 ),
    inference(avatar_component_clause,[],[f1331]) ).

thf(f1346,plain,
    spl22_2,
    inference(avatar_contradiction_clause,[],[f1345]) ).

thf(f1345,plain,
    ( $false
    | spl22_2 ),
    inference(subsumption_resolution,[],[f1344,f1117]) ).

thf(f1344,plain,
    ( ( a2
      = ( f @ x0 ) )
    | spl22_2 ),
    inference(trivial_inequality_removal,[],[f1343]) ).

thf(f1343,plain,
    ( ( $true != $true )
    | ( a2
      = ( f @ x0 ) )
    | spl22_2 ),
    inference(superposition,[],[f1336,f1096]) ).

thf(f1096,plain,
    ( ( ( topolo1276428102open_b @ sK3 )
      = $true )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(cnf_transformation,[],[f1024]) ).

thf(f1336,plain,
    ( ( ( topolo1276428102open_b @ sK3 )
     != $true )
    | spl22_2 ),
    inference(avatar_component_clause,[],[f1334]) ).

thf(f1334,plain,
    ( spl22_2
  <=> ( ( topolo1276428102open_b @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

thf(f1337,plain,
    ( spl22_1
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f1329,f1334,f1331]) ).

thf(f1329,plain,
    ! [X0: set_b] :
      ( ( $true
       != ( member_b @ a2 @ X0 ) )
      | ( ( topolo1276428102open_b @ sK3 )
       != $true )
      | ( ( topolo1276428102open_b @ X0 )
       != $true )
      | ( bot_bot_set_b
       != ( inf_inf_set_b @ sK3 @ X0 ) ) ),
    inference(subsumption_resolution,[],[f1321,f1117]) ).

thf(f1321,plain,
    ! [X0: set_b] :
      ( ( a2
        = ( f @ x0 ) )
      | ( ( topolo1276428102open_b @ sK3 )
       != $true )
      | ( bot_bot_set_b
       != ( inf_inf_set_b @ sK3 @ X0 ) )
      | ( ( topolo1276428102open_b @ X0 )
       != $true )
      | ( $true
       != ( member_b @ a2 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f1308]) ).

thf(f1308,plain,
    ! [X0: set_b] :
      ( ( bot_bot_set_b
       != ( inf_inf_set_b @ sK3 @ X0 ) )
      | ( ( topolo1276428102open_b @ X0 )
       != $true )
      | ( $true != $true )
      | ( ( topolo1276428102open_b @ sK3 )
       != $true )
      | ( $true
       != ( member_b @ a2 @ X0 ) )
      | ( a2
        = ( f @ x0 ) ) ),
    inference(superposition,[],[f1289,f1093]) ).

thf(f1093,plain,
    ( ( ( member_b @ ( f @ x0 ) @ sK3 )
      = $true )
    | ( a2
      = ( f @ x0 ) ) ),
    inference(cnf_transformation,[],[f1024]) ).

thf(f1289,plain,
    ! [X0: set_b,X1: set_b] :
      ( ( ( member_b @ ( f @ x0 ) @ X0 )
       != $true )
      | ( ( topolo1276428102open_b @ X0 )
       != $true )
      | ( ( inf_inf_set_b @ X0 @ X1 )
       != bot_bot_set_b )
      | ( ( member_b @ a2 @ X1 )
       != $true )
      | ( ( topolo1276428102open_b @ X1 )
       != $true ) ),
    inference(subsumption_resolution,[],[f1135,f1209]) ).

thf(f1209,plain,
    thesis != $true,
    inference(cnf_transformation,[],[f900]) ).

thf(f900,plain,
    thesis != $true,
    inference(flattening,[],[f697]) ).

thf(f697,plain,
    thesis != $true,
    inference(fool_elimination,[],[f696]) ).

thf(f696,plain,
    ~ thesis,
    inference(rectify,[],[f358]) ).

thf(f358,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[],[f357]) ).

thf(f357,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

thf(f1135,plain,
    ! [X0: set_b,X1: set_b] :
      ( ( ( topolo1276428102open_b @ X0 )
       != $true )
      | ( ( member_b @ a2 @ X1 )
       != $true )
      | ( ( topolo1276428102open_b @ X1 )
       != $true )
      | ( ( member_b @ ( f @ x0 ) @ X0 )
       != $true )
      | ( ( inf_inf_set_b @ X0 @ X1 )
       != bot_bot_set_b )
      | ( thesis = $true ) ),
    inference(cnf_transformation,[],[f971]) ).

thf(f971,plain,
    ! [X0: set_b,X1: set_b] :
      ( ( ( topolo1276428102open_b @ X0 )
       != $true )
      | ( ( member_b @ ( f @ x0 ) @ X0 )
       != $true )
      | ( thesis = $true )
      | ( ( member_b @ a2 @ X1 )
       != $true )
      | ( ( inf_inf_set_b @ X0 @ X1 )
       != bot_bot_set_b )
      | ( ( topolo1276428102open_b @ X1 )
       != $true ) ),
    inference(flattening,[],[f970]) ).

thf(f970,plain,
    ! [X0: set_b,X1: set_b] :
      ( ( thesis = $true )
      | ( ( member_b @ a2 @ X1 )
       != $true )
      | ( ( inf_inf_set_b @ X0 @ X1 )
       != bot_bot_set_b )
      | ( ( member_b @ ( f @ x0 ) @ X0 )
       != $true )
      | ( ( topolo1276428102open_b @ X1 )
       != $true )
      | ( ( topolo1276428102open_b @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f845]) ).

thf(f845,plain,
    ! [X0: set_b,X1: set_b] :
      ( ( ( ( member_b @ a2 @ X1 )
          = $true )
        & ( ( inf_inf_set_b @ X0 @ X1 )
          = bot_bot_set_b )
        & ( ( member_b @ ( f @ x0 ) @ X0 )
          = $true )
        & ( ( topolo1276428102open_b @ X1 )
          = $true )
        & ( ( topolo1276428102open_b @ X0 )
          = $true ) )
     => ( thesis = $true ) ),
    inference(fool_elimination,[],[f844]) ).

thf(f844,plain,
    ! [X0: set_b,X1: set_b] :
      ( ( ( ( inf_inf_set_b @ X0 @ X1 )
          = bot_bot_set_b )
        & ( member_b @ ( f @ x0 ) @ X0 )
        & ( member_b @ a2 @ X1 )
        & ( topolo1276428102open_b @ X1 )
        & ( topolo1276428102open_b @ X0 ) )
     => thesis ),
    inference(rectify,[],[f356]) ).

thf(f356,axiom,
    ! [X15: set_b,X38: set_b] :
      ( ( ( bot_bot_set_b
          = ( inf_inf_set_b @ X15 @ X38 ) )
        & ( member_b @ ( f @ x0 ) @ X15 )
        & ( member_b @ a2 @ X38 )
        & ( topolo1276428102open_b @ X38 )
        & ( topolo1276428102open_b @ X15 ) )
     => thesis ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : ITP115^1 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.10  % 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
% 0.10/0.30  % Computer : n016.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat May 18 16:01:07 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a TH0_THM_EQU_NAR problem
% 0.10/0.30  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/benchmark/theBenchmark.p
% 0.15/0.33  % (30135)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.33  % (30134)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)
% 0.15/0.33  % (30132)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.34  % (30132)Instruction limit reached!
% 0.15/0.34  % (30132)------------------------------
% 0.15/0.34  % (30132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (30132)Termination reason: Unknown
% 0.15/0.34  % (30132)Termination phase: shuffling
% 0.15/0.34  
% 0.15/0.34  % (30132)Memory used [KB]: 1279
% 0.15/0.34  % (30132)Time elapsed: 0.003 s
% 0.15/0.34  % (30132)Instructions burned: 3 (million)
% 0.15/0.34  % (30132)------------------------------
% 0.15/0.34  % (30132)------------------------------
% 0.15/0.34  % (30130)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)
% 0.15/0.34  % (30135)Instruction limit reached!
% 0.15/0.34  % (30135)------------------------------
% 0.15/0.34  % (30135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (30135)Termination reason: Unknown
% 0.15/0.34  % (30135)Termination phase: Property scanning
% 0.15/0.34  
% 0.15/0.34  % (30135)Memory used [KB]: 1663
% 0.15/0.34  % (30135)Time elapsed: 0.011 s
% 0.15/0.34  % (30135)Instructions burned: 18 (million)
% 0.15/0.34  % (30135)------------------------------
% 0.15/0.34  % (30135)------------------------------
% 0.15/0.34  % (30130)Instruction limit reached!
% 0.15/0.34  % (30130)------------------------------
% 0.15/0.34  % (30130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (30130)Termination reason: Unknown
% 0.15/0.34  % (30130)Termination phase: shuffling
% 0.15/0.34  
% 0.15/0.34  % (30130)Memory used [KB]: 1407
% 0.15/0.34  % (30130)Time elapsed: 0.004 s
% 0.15/0.34  % (30130)Instructions burned: 4 (million)
% 0.15/0.34  % (30130)------------------------------
% 0.15/0.34  % (30130)------------------------------
% 0.15/0.35  % (30136)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)
% 0.15/0.35  % (30131)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)
% 0.15/0.35  % (30129)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.35  % (30133)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)
% 0.15/0.35  % (30133)Instruction limit reached!
% 0.15/0.35  % (30133)------------------------------
% 0.15/0.35  % (30133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35  % (30133)Termination reason: Unknown
% 0.15/0.35  % (30133)Termination phase: shuffling
% 0.15/0.35  
% 0.15/0.35  % (30133)Memory used [KB]: 1407
% 0.15/0.35  % (30133)Time elapsed: 0.004 s
% 0.15/0.35  % (30133)Instructions burned: 3 (million)
% 0.15/0.35  % (30133)------------------------------
% 0.15/0.35  % (30133)------------------------------
% 0.15/0.36  % (30139)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)
% 0.15/0.36  % (30131)Instruction limit reached!
% 0.15/0.36  % (30131)------------------------------
% 0.15/0.36  % (30131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36  % (30131)Termination reason: Unknown
% 0.15/0.36  % (30131)Termination phase: Property scanning
% 0.15/0.36  
% 0.15/0.36  % (30131)Memory used [KB]: 1663
% 0.15/0.36  % (30131)Time elapsed: 0.015 s
% 0.15/0.36  % (30131)Instructions burned: 27 (million)
% 0.15/0.36  % (30131)------------------------------
% 0.15/0.36  % (30131)------------------------------
% 0.15/0.36  % (30139)Instruction limit reached!
% 0.15/0.36  % (30139)------------------------------
% 0.15/0.36  % (30139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36  % (30139)Termination reason: Unknown
% 0.15/0.36  % (30139)Termination phase: shuffling
% 0.15/0.36  
% 0.15/0.36  % (30139)Memory used [KB]: 1407
% 0.15/0.36  % (30139)Time elapsed: 0.004 s
% 0.15/0.36  % (30139)Instructions burned: 4 (million)
% 0.15/0.36  % (30139)------------------------------
% 0.15/0.36  % (30139)------------------------------
% 0.15/0.36  % (30136)Instruction limit reached!
% 0.15/0.36  % (30136)------------------------------
% 0.15/0.36  % (30136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36  % (30136)Termination reason: Unknown
% 0.15/0.36  % (30136)Termination phase: shuffling
% 0.15/0.36  
% 0.15/0.36  % (30136)Memory used [KB]: 1407
% 0.15/0.36  % (30136)Time elapsed: 0.005 s
% 0.15/0.36  % (30136)Instructions burned: 4 (million)
% 0.15/0.36  % (30136)------------------------------
% 0.15/0.36  % (30136)------------------------------
% 0.15/0.36  % (30137)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)
% 0.15/0.36  % (30140)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)
% 0.15/0.37  % (30141)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.37  % (30138)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)
% 0.15/0.37  % (30141)Instruction limit reached!
% 0.15/0.37  % (30141)------------------------------
% 0.15/0.37  % (30141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (30141)Termination reason: Unknown
% 0.15/0.37  % (30141)Termination phase: shuffling
% 0.15/0.37  
% 0.15/0.37  % (30141)Memory used [KB]: 1407
% 0.15/0.37  % (30141)Time elapsed: 0.005 s
% 0.15/0.37  % (30141)Instructions burned: 7 (million)
% 0.15/0.37  % (30141)------------------------------
% 0.15/0.37  % (30141)------------------------------
% 0.15/0.38  % (30138)Instruction limit reached!
% 0.15/0.38  % (30138)------------------------------
% 0.15/0.38  % (30138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (30138)Termination reason: Unknown
% 0.15/0.38  % (30138)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (30137)Instruction limit reached!
% 0.15/0.38  % (30137)------------------------------
% 0.15/0.38  % (30137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (30137)Termination reason: Unknown
% 0.15/0.38  % (30137)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (30137)Memory used [KB]: 2046
% 0.15/0.38  % (30137)Time elapsed: 0.020 s
% 0.15/0.38  % (30137)Instructions burned: 38 (million)
% 0.15/0.38  % (30137)------------------------------
% 0.15/0.38  % (30137)------------------------------
% 0.15/0.38  % (30138)Memory used [KB]: 1663
% 0.15/0.38  % (30138)Time elapsed: 0.010 s
% 0.15/0.38  % (30138)Instructions burned: 16 (million)
% 0.15/0.38  % (30138)------------------------------
% 0.15/0.38  % (30138)------------------------------
% 0.15/0.39  % (30134)First to succeed.
% 0.15/0.39  % (30144)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)
% 0.15/0.39  % (30144)Instruction limit reached!
% 0.15/0.39  % (30144)------------------------------
% 0.15/0.39  % (30144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30144)Termination reason: Unknown
% 0.15/0.39  % (30144)Termination phase: shuffling
% 0.15/0.39  
% 0.15/0.39  % (30144)Memory used [KB]: 1407
% 0.15/0.39  % (30144)Time elapsed: 0.004 s
% 0.15/0.39  % (30144)Instructions burned: 3 (million)
% 0.15/0.39  % (30144)------------------------------
% 0.15/0.39  % (30144)------------------------------
% 0.15/0.39  % (30134)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (30134)------------------------------
% 0.15/0.39  % (30134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30134)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (30134)Memory used [KB]: 6652
% 0.15/0.39  % (30134)Time elapsed: 0.056 s
% 0.15/0.39  % (30134)Instructions burned: 106 (million)
% 0.15/0.39  % (30134)------------------------------
% 0.15/0.39  % (30134)------------------------------
% 0.15/0.39  % (30128)Success in time 0.065 s
% 0.15/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------