TSTP Solution File: ALG039+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG039+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:09:10 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% 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 :  447 (  98   ~; 197   |; 130   &)
%                                         (  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(f122,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(f123,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,[f122]) ).

fof(f124,plain,
    ( ( pd0_0
      | ( 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(formula_renaming,[status(thm)],[f122,f123]) ).

fof(f125,plain,
    ( pd0_0
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f126,plain,
    ( pd0_0
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f127,plain,
    ( pd0_0
    | op(e2,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f128,plain,
    ( pd0_0
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f129,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f130,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f131,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f132,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f133,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)],[f123]) ).

fof(f134,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,[f133]) ).

fof(f135,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)],[f133,f134]) ).

fof(f136,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f137,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e1,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f138,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e2,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f139,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f140,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)],[f134]) ).

fof(f141,plain,
    ( pd0_2
   => ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 ) ),
    introduced(predicate_definition,[f140]) ).

fof(f142,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)],[f140,f141]) ).

fof(f143,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f144,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e1,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f145,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e2,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f146,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f147,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)],[f141]) ).

fof(f148,plain,
    ( ~ pd0_2
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

fof(f149,plain,
    ( ~ pd0_2
    | op(e1,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

fof(f150,plain,
    ( ~ pd0_2
    | op(e2,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

fof(f151,plain,
    ( ~ pd0_2
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

fof(f152,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f155,plain,
    ( spl0_1
  <=> op(e0,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f158,plain,
    ( spl0_2
  <=> op(e0,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f161,plain,
    ( spl0_3
  <=> op(e0,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f164,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f9,f152,f155,f158,f161]) ).

fof(f217,plain,
    ( spl0_20
  <=> op(e1,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f220,plain,
    ( spl0_21
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f223,plain,
    ( spl0_22
  <=> op(e1,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f226,plain,
    ( spl0_23
  <=> op(e1,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f229,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f14,f217,f220,f223,f226]) ).

fof(f282,plain,
    ( spl0_40
  <=> op(e2,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f285,plain,
    ( spl0_41
  <=> op(e2,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f288,plain,
    ( spl0_42
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f291,plain,
    ( spl0_43
  <=> op(e2,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f294,plain,
    ( spl0_40
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f19,f282,f285,f288,f291]) ).

fof(f347,plain,
    ( spl0_60
  <=> op(e3,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f350,plain,
    ( spl0_61
  <=> op(e3,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f353,plain,
    ( spl0_62
  <=> op(e3,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f356,plain,
    ( spl0_63
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f359,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f24,f347,f350,f353,f356]) ).

fof(f405,plain,
    ( spl0_68
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f408,plain,
    ( spl0_68
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f125,f405,f161]) ).

fof(f409,plain,
    ( spl0_68
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f126,f405,f226]) ).

fof(f410,plain,
    ( spl0_68
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f127,f405,f291]) ).

fof(f411,plain,
    ( spl0_68
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f128,f405,f356]) ).

fof(f412,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | ~ spl0_40
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f129,f152,f217,f282,f347]) ).

fof(f413,plain,
    ( ~ spl0_1
    | ~ spl0_21
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f130,f155,f220,f285,f350]) ).

fof(f414,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_42
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f131,f158,f223,f288,f353]) ).

fof(f415,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | ~ spl0_43
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f132,f161,f226,f291,f356]) ).

fof(f416,plain,
    ( spl0_69
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f419,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f136,f405,f416,f158]) ).

fof(f420,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f137,f405,f416,f223]) ).

fof(f421,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f138,f405,f416,f288]) ).

fof(f422,plain,
    ( ~ spl0_68
    | spl0_69
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f139,f405,f416,f353]) ).

fof(f423,plain,
    ( spl0_70
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f426,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f143,f416,f423,f155]) ).

fof(f427,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f144,f416,f423,f220]) ).

fof(f428,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_41 ),
    inference(split_clause,[status(thm)],[f145,f416,f423,f285]) ).

fof(f429,plain,
    ( ~ spl0_69
    | spl0_70
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f146,f416,f423,f350]) ).

fof(f430,plain,
    ( ~ spl0_70
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f148,f423,f152]) ).

fof(f431,plain,
    ( ~ spl0_70
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f149,f423,f217]) ).

fof(f432,plain,
    ( ~ spl0_70
    | spl0_40 ),
    inference(split_clause,[status(thm)],[f150,f423,f282]) ).

fof(f433,plain,
    ( ~ spl0_70
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f151,f423,f347]) ).

fof(f434,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f164,f229,f294,f359,f408,f409,f410,f411,f412,f413,f414,f415,f419,f420,f421,f422,f426,f427,f428,f429,f430,f431,f432,f433]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG039+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 23:34:29 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.018172 seconds
% 0.13/0.37  % CPU time: 0.029202 seconds
% 0.13/0.37  % Total memory used: 2.219 MB
% 0.13/0.37  % Net memory used: 2.202 MB
%------------------------------------------------------------------------------