TSTP Solution File: ALG036+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG036+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 : Tue Apr 30 20:09:05 EDT 2024

% Result   : Theorem 0.21s 0.36s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   81 (   1 unt;   0 def)
%            Number of atoms       :  430 ( 300 equ)
%            Maximal formula atoms :   64 (   5 avg)
%            Number of connectives :  445 (  96   ~; 199   |; 128   &)
%                                         (  19 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  23 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,conjecture,
    ( ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 )
    | ( op(e0,e0) = e1
      & op(e1,e1) = e1
      & op(e2,e2) = e1
      & op(e3,e3) = e1 )
    | ( op(e0,e0) = e2
      & op(e1,e1) = e2
      & op(e2,e2) = e2
      & op(e3,e3) = e2 )
    | ( op(e0,e0) = e3
      & op(e1,e1) = e3
      & op(e2,e2) = e3
      & op(e3,e3) = e3 )
    | ~ ( ( op(e0,e0) = e0
          & op(e1,e1) = e0
          & op(e2,e2) = e0
          & op(e3,e3) = e0 )
        | ( op(e0,e0) = e1
          & op(e1,e1) = e1
          & op(e2,e2) = e1
          & op(e3,e3) = e1 )
        | ( op(e0,e0) = e2
          & op(e1,e1) = e2
          & op(e2,e2) = e2
          & op(e3,e3) = e2 )
        | ( op(e0,e0) = e3
          & op(e1,e1) = e3
          & op(e2,e2) = e3
          & op(e3,e3) = e3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ~ ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 )
      | ~ ( ( op(e0,e0) = e0
            & op(e1,e1) = e0
            & op(e2,e2) = e0
            & op(e3,e3) = e0 )
          | ( op(e0,e0) = e1
            & op(e1,e1) = e1
            & op(e2,e2) = e1
            & op(e3,e3) = e1 )
          | ( op(e0,e0) = e2
            & op(e1,e1) = e2
            & op(e2,e2) = e2
            & op(e3,e3) = e2 )
          | ( op(e0,e0) = e3
            & op(e1,e1) = e3
            & op(e2,e2) = e3
            & op(e3,e3) = e3 ) ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f14,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f24,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f121,plain,
    ( ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e2,e2) != e0
      | op(e3,e3) != e0 )
    & ( op(e0,e0) != e1
      | op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e3,e3) != e1 )
    & ( op(e0,e0) != e2
      | op(e1,e1) != e2
      | op(e2,e2) != e2
      | op(e3,e3) != e2 )
    & ( op(e0,e0) != e3
      | op(e1,e1) != e3
      | op(e2,e2) != e3
      | op(e3,e3) != e3 )
    & ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f122,plain,
    ( pd0_0
   => ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 ) ) ),
    introduced(predicate_definition,[f121]) ).

fof(f123,plain,
    ( ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e2,e2) != e0
      | op(e3,e3) != e0 )
    & ( op(e0,e0) != e1
      | op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e3,e3) != e1 )
    & ( op(e0,e0) != e2
      | op(e1,e1) != e2
      | op(e2,e2) != e2
      | op(e3,e3) != e2 )
    & ( op(e0,e0) != e3
      | op(e1,e1) != e3
      | op(e2,e2) != e3
      | op(e3,e3) != e3 )
    & ( pd0_0
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f121,f122]) ).

fof(f124,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f125,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f126,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f127,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f128,plain,
    ( pd0_0
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f129,plain,
    ( pd0_0
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f130,plain,
    ( pd0_0
    | op(e2,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f131,plain,
    ( pd0_0
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f132,plain,
    ( ~ pd0_0
    | ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 )
    | ( op(e0,e0) = e1
      & op(e1,e1) = e1
      & op(e2,e2) = e1
      & op(e3,e3) = e1 )
    | ( op(e0,e0) = e2
      & op(e1,e1) = e2
      & op(e2,e2) = e2
      & op(e3,e3) = e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f122]) ).

fof(f133,plain,
    ( pd0_1
   => ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 ) ) ),
    introduced(predicate_definition,[f132]) ).

fof(f134,plain,
    ( ~ pd0_0
    | pd0_1
    | ( op(e0,e0) = e2
      & op(e1,e1) = e2
      & op(e2,e2) = e2
      & op(e3,e3) = e2 ) ),
    inference(formula_renaming,[status(thm)],[f132,f133]) ).

fof(f135,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f136,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e1,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f137,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e2,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f138,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f139,plain,
    ( ~ pd0_1
    | ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 )
    | ( op(e0,e0) = e1
      & op(e1,e1) = e1
      & op(e2,e2) = e1
      & op(e3,e3) = e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f133]) ).

fof(f140,plain,
    ( pd0_2
   => ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 ) ),
    introduced(predicate_definition,[f139]) ).

fof(f141,plain,
    ( ~ pd0_1
    | pd0_2
    | ( op(e0,e0) = e1
      & op(e1,e1) = e1
      & op(e2,e2) = e1
      & op(e3,e3) = e1 ) ),
    inference(formula_renaming,[status(thm)],[f139,f140]) ).

fof(f142,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f143,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e1,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f144,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e2,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f145,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f146,plain,
    ( ~ pd0_2
    | ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f140]) ).

fof(f147,plain,
    ( ~ pd0_2
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f146]) ).

fof(f148,plain,
    ( ~ pd0_2
    | op(e1,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f146]) ).

fof(f149,plain,
    ( ~ pd0_2
    | op(e2,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f146]) ).

fof(f150,plain,
    ( ~ pd0_2
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f146]) ).

fof(f151,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f154,plain,
    ( spl0_1
  <=> op(e0,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f157,plain,
    ( spl0_2
  <=> op(e0,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f160,plain,
    ( spl0_3
  <=> op(e0,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f163,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f9,f151,f154,f157,f160]) ).

fof(f216,plain,
    ( spl0_20
  <=> op(e1,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f219,plain,
    ( spl0_21
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f222,plain,
    ( spl0_22
  <=> op(e1,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f225,plain,
    ( spl0_23
  <=> op(e1,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f228,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f14,f216,f219,f222,f225]) ).

fof(f281,plain,
    ( spl0_40
  <=> op(e2,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f284,plain,
    ( spl0_41
  <=> op(e2,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f287,plain,
    ( spl0_42
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f290,plain,
    ( spl0_43
  <=> op(e2,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f293,plain,
    ( spl0_40
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f19,f281,f284,f287,f290]) ).

fof(f346,plain,
    ( spl0_60
  <=> op(e3,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f349,plain,
    ( spl0_61
  <=> op(e3,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f352,plain,
    ( spl0_62
  <=> op(e3,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f355,plain,
    ( spl0_63
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f358,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f24,f346,f349,f352,f355]) ).

fof(f404,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | ~ spl0_40
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f124,f151,f216,f281,f346]) ).

fof(f405,plain,
    ( ~ spl0_1
    | ~ spl0_21
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f125,f154,f219,f284,f349]) ).

fof(f406,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_42
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f126,f157,f222,f287,f352]) ).

fof(f407,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | ~ spl0_43
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f127,f160,f225,f290,f355]) ).

fof(f408,plain,
    ( spl0_68
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f411,plain,
    ( spl0_68
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f128,f408,f160]) ).

fof(f412,plain,
    ( spl0_68
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f129,f408,f225]) ).

fof(f413,plain,
    ( spl0_68
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f130,f408,f290]) ).

fof(f414,plain,
    ( spl0_68
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f131,f408,f355]) ).

fof(f415,plain,
    ( spl0_69
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f418,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f135,f408,f415,f157]) ).

fof(f419,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f136,f408,f415,f222]) ).

fof(f420,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f137,f408,f415,f287]) ).

fof(f421,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f138,f408,f415,f352]) ).

fof(f422,plain,
    ( spl0_70
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f425,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f142,f415,f422,f154]) ).

fof(f426,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f143,f415,f422,f219]) ).

fof(f427,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_41 ),
    inference(split_clause,[status(thm)],[f144,f415,f422,f284]) ).

fof(f428,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f145,f415,f422,f349]) ).

fof(f429,plain,
    ( ~ spl0_70
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f147,f422,f151]) ).

fof(f430,plain,
    ( ~ spl0_70
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f148,f422,f216]) ).

fof(f431,plain,
    ( ~ spl0_70
    | spl0_40 ),
    inference(split_clause,[status(thm)],[f149,f422,f281]) ).

fof(f432,plain,
    ( ~ spl0_70
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f150,f422,f346]) ).

fof(f433,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f163,f228,f293,f358,f404,f405,f406,f407,f411,f412,f413,f414,f418,f419,f420,f421,f425,f426,f427,f428,f429,f430,f431,f432]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG036+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 00:03:47 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.36  % Refutation found
% 0.21/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.018574 seconds
% 0.21/0.38  % CPU time: 0.030098 seconds
% 0.21/0.38  % Total memory used: 2.205 MB
% 0.21/0.38  % Net memory used: 2.188 MB
%------------------------------------------------------------------------------