TSTP Solution File: SEU215+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% 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 20:41:31 EDT 2024

% Result   : Theorem 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   90 (  14 unt;   0 def)
%            Number of atoms       :  322 (  36 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  381 ( 149   ~; 152   |;  45   &)
%                                         (  17 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  12 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   96 (  90   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [A] :
      ( ( relation(A)
        & function(A) )
     => ! [B,C] :
          ( ( in(B,relation_dom(A))
           => ( C = apply(A,B)
            <=> in(ordered_pair(B,C),A) ) )
          & ( ~ in(B,relation_dom(A))
           => ( C = apply(A,B)
            <=> C = empty_set ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [A,B] :
      ( ( relation(A)
        & relation(B) )
     => relation(relation_composition(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [A,B] :
      ( ( relation(A)
        & function(A)
        & relation(B)
        & function(B) )
     => ( relation(relation_composition(A,B))
        & function(relation_composition(A,B)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [A,B] :
      ( in(A,B)
     => element(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [A,B] :
      ( ( relation(B)
        & function(B) )
     => ! [C] :
          ( ( relation(C)
            & function(C) )
         => ( in(A,relation_dom(relation_composition(C,B)))
          <=> ( in(A,relation_dom(C))
              & in(apply(C,A),relation_dom(B)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [A,B] :
      ( ( relation(B)
        & function(B) )
     => ! [C] :
          ( ( relation(C)
            & function(C) )
         => ( in(A,relation_dom(relation_composition(C,B)))
           => apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,conjecture,
    ! [A,B] :
      ( ( relation(B)
        & function(B) )
     => ! [C] :
          ( ( relation(C)
            & function(C) )
         => ( in(A,relation_dom(B))
           => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ~ ! [A,B] :
        ( ( relation(B)
          & function(B) )
       => ! [C] :
            ( ( relation(C)
              & function(C) )
           => ( in(A,relation_dom(B))
             => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f36]) ).

fof(f38,axiom,
    ! [A,B] :
      ( element(A,B)
     => ( empty(B)
        | in(A,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [A,B] :
      ~ ( in(A,B)
        & empty(B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,plain,
    ! [A] :
      ( ~ relation(A)
      | ~ function(A)
      | ! [B,C] :
          ( ( ~ in(B,relation_dom(A))
            | ( C = apply(A,B)
            <=> in(ordered_pair(B,C),A) ) )
          & ( in(B,relation_dom(A))
            | ( C = apply(A,B)
            <=> C = empty_set ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f50,plain,
    ! [A] :
      ( ~ relation(A)
      | ~ function(A)
      | ! [B,C] :
          ( ( ~ in(B,relation_dom(A))
            | ( ( C != apply(A,B)
                | in(ordered_pair(B,C),A) )
              & ( C = apply(A,B)
                | ~ in(ordered_pair(B,C),A) ) ) )
          & ( in(B,relation_dom(A))
            | ( ( C != apply(A,B)
                | C = empty_set )
              & ( C = apply(A,B)
                | C != empty_set ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f49]) ).

fof(f51,plain,
    ! [A] :
      ( ~ relation(A)
      | ~ function(A)
      | ( ! [B] :
            ( ~ in(B,relation_dom(A))
            | ( ! [C] :
                  ( C != apply(A,B)
                  | in(ordered_pair(B,C),A) )
              & ! [C] :
                  ( C = apply(A,B)
                  | ~ in(ordered_pair(B,C),A) ) ) )
        & ! [B] :
            ( in(B,relation_dom(A))
            | ( ! [C] :
                  ( C != apply(A,B)
                  | C = empty_set )
              & ! [C] :
                  ( C = apply(A,B)
                  | C != empty_set ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f50]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | ~ function(X0)
      | in(X1,relation_dom(X0))
      | X2 != apply(X0,X1)
      | X2 = empty_set ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | ~ function(X0)
      | in(X1,relation_dom(X0))
      | X2 = apply(X0,X1)
      | X2 != empty_set ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f57,plain,
    ! [A,B] :
      ( ~ relation(A)
      | ~ relation(B)
      | relation(relation_composition(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | relation(relation_composition(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f67,plain,
    ! [A,B] :
      ( ~ relation(A)
      | ~ function(A)
      | ~ relation(B)
      | ~ function(B)
      | ( relation(relation_composition(A,B))
        & function(relation_composition(A,B)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ relation(X1)
      | ~ function(X1)
      | function(relation_composition(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f100,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | element(A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f100]) ).

fof(f102,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ~ function(B)
      | ! [C] :
          ( ~ relation(C)
          | ~ function(C)
          | ( in(A,relation_dom(relation_composition(C,B)))
          <=> ( in(A,relation_dom(C))
              & in(apply(C,A),relation_dom(B)) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f34]) ).

fof(f103,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ~ function(B)
      | ! [C] :
          ( ~ relation(C)
          | ~ function(C)
          | ( ( ~ in(A,relation_dom(relation_composition(C,B)))
              | ( in(A,relation_dom(C))
                & in(apply(C,A),relation_dom(B)) ) )
            & ( in(A,relation_dom(relation_composition(C,B)))
              | ~ in(A,relation_dom(C))
              | ~ in(apply(C,A),relation_dom(B)) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f102]) ).

fof(f104,plain,
    ! [B] :
      ( ~ relation(B)
      | ~ function(B)
      | ! [C] :
          ( ~ relation(C)
          | ~ function(C)
          | ( ! [A] :
                ( ~ in(A,relation_dom(relation_composition(C,B)))
                | ( in(A,relation_dom(C))
                  & in(apply(C,A),relation_dom(B)) ) )
            & ! [A] :
                ( in(A,relation_dom(relation_composition(C,B)))
                | ~ in(A,relation_dom(C))
                | ~ in(apply(C,A),relation_dom(B)) ) ) ) ),
    inference(miniscoping,[status(esa)],[f103]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ relation(X1)
      | ~ function(X1)
      | in(X2,relation_dom(relation_composition(X1,X0)))
      | ~ in(X2,relation_dom(X1))
      | ~ in(apply(X1,X2),relation_dom(X0)) ),
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f108,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ~ function(B)
      | ! [C] :
          ( ~ relation(C)
          | ~ function(C)
          | ~ in(A,relation_dom(relation_composition(C,B)))
          | apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f35]) ).

fof(f109,plain,
    ! [B] :
      ( ~ relation(B)
      | ~ function(B)
      | ! [C] :
          ( ~ relation(C)
          | ~ function(C)
          | ! [A] :
              ( ~ in(A,relation_dom(relation_composition(C,B)))
              | apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ),
    inference(miniscoping,[status(esa)],[f108]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ relation(X1)
      | ~ function(X1)
      | ~ in(X2,relation_dom(relation_composition(X1,X0)))
      | apply(relation_composition(X1,X0),X2) = apply(X0,apply(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f109]) ).

fof(f111,plain,
    ? [A,B] :
      ( relation(B)
      & function(B)
      & ? [C] :
          ( relation(C)
          & function(C)
          & in(A,relation_dom(B))
          & apply(relation_composition(B,C),A) != apply(C,apply(B,A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f37]) ).

fof(f112,plain,
    ? [B] :
      ( relation(B)
      & function(B)
      & ? [C] :
          ( relation(C)
          & function(C)
          & ? [A] :
              ( in(A,relation_dom(B))
              & apply(relation_composition(B,C),A) != apply(C,apply(B,A)) ) ) ),
    inference(miniscoping,[status(esa)],[f111]) ).

fof(f113,plain,
    ( relation(sk0_7)
    & function(sk0_7)
    & relation(sk0_8)
    & function(sk0_8)
    & in(sk0_9,relation_dom(sk0_7))
    & apply(relation_composition(sk0_7,sk0_8),sk0_9) != apply(sk0_8,apply(sk0_7,sk0_9)) ),
    inference(skolemization,[status(esa)],[f112]) ).

fof(f114,plain,
    relation(sk0_7),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f115,plain,
    function(sk0_7),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f116,plain,
    relation(sk0_8),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f117,plain,
    function(sk0_8),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f118,plain,
    in(sk0_9,relation_dom(sk0_7)),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f119,plain,
    apply(relation_composition(sk0_7,sk0_8),sk0_9) != apply(sk0_8,apply(sk0_7,sk0_9)),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f120,plain,
    ! [A,B] :
      ( ~ element(A,B)
      | empty(B)
      | in(A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f124,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | ~ empty(B) ),
    inference(pre_NNF_transformation,[status(esa)],[f40]) ).

fof(f125,plain,
    ! [B] :
      ( ! [A] : ~ in(A,B)
      | ~ empty(B) ),
    inference(miniscoping,[status(esa)],[f124]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[status(esa)],[f125]) ).

fof(f130,plain,
    ~ empty(relation_dom(sk0_7)),
    inference(resolution,[status(thm)],[f126,f118]) ).

fof(f136,plain,
    ( spl0_0
  <=> relation(sk0_8) ),
    introduced(split_symbol_definition) ).

fof(f138,plain,
    ( ~ relation(sk0_8)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f136]) ).

fof(f139,plain,
    ( spl0_1
  <=> function(sk0_8) ),
    introduced(split_symbol_definition) ).

fof(f141,plain,
    ( ~ function(sk0_8)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f139]) ).

fof(f142,plain,
    ( spl0_2
  <=> relation(sk0_7) ),
    introduced(split_symbol_definition) ).

fof(f144,plain,
    ( ~ relation(sk0_7)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f142]) ).

fof(f145,plain,
    ( spl0_3
  <=> function(sk0_7) ),
    introduced(split_symbol_definition) ).

fof(f147,plain,
    ( ~ function(sk0_7)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f145]) ).

fof(f148,plain,
    ( spl0_4
  <=> in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8))) ),
    introduced(split_symbol_definition) ).

fof(f151,plain,
    ( ~ relation(sk0_8)
    | ~ function(sk0_8)
    | ~ relation(sk0_7)
    | ~ function(sk0_7)
    | ~ in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8))) ),
    inference(resolution,[status(thm)],[f110,f119]) ).

fof(f152,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f151,f136,f139,f142,f145,f148]) ).

fof(f165,plain,
    element(sk0_9,relation_dom(sk0_7)),
    inference(resolution,[status(thm)],[f101,f118]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | in(X1,relation_dom(X0))
      | apply(X0,X1) = empty_set ),
    inference(equality_resolution,[status(esa)],[f54]) ).

fof(f369,plain,
    ( spl0_16
  <=> relation(relation_composition(sk0_7,sk0_8)) ),
    introduced(split_symbol_definition) ).

fof(f371,plain,
    ( ~ relation(relation_composition(sk0_7,sk0_8))
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f369]) ).

fof(f372,plain,
    ( spl0_17
  <=> function(relation_composition(sk0_7,sk0_8)) ),
    introduced(split_symbol_definition) ).

fof(f374,plain,
    ( ~ function(relation_composition(sk0_7,sk0_8))
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f372]) ).

fof(f384,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f147,f115]) ).

fof(f385,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f384]) ).

fof(f386,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f144,f114]) ).

fof(f387,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f386]) ).

fof(f388,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f141,f117]) ).

fof(f389,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f388]) ).

fof(f390,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f138,f116]) ).

fof(f391,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f390]) ).

fof(f402,plain,
    ( ~ relation(sk0_7)
    | ~ function(sk0_7)
    | ~ relation(sk0_8)
    | ~ function(sk0_8)
    | spl0_17 ),
    inference(resolution,[status(thm)],[f374,f69]) ).

fof(f403,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_0
    | ~ spl0_1
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f402,f142,f145,f136,f139,f372]) ).

fof(f408,plain,
    ( ~ relation(sk0_7)
    | ~ relation(sk0_8)
    | spl0_16 ),
    inference(resolution,[status(thm)],[f371,f58]) ).

fof(f409,plain,
    ( ~ spl0_2
    | ~ spl0_0
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f408,f142,f136,f369]) ).

fof(f410,plain,
    ( spl0_20
  <=> in(apply(sk0_7,sk0_9),relation_dom(sk0_8)) ),
    introduced(split_symbol_definition) ).

fof(f411,plain,
    ( in(apply(sk0_7,sk0_9),relation_dom(sk0_8))
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f418,plain,
    ( spl0_22
  <=> apply(sk0_8,apply(sk0_7,sk0_9)) = empty_set ),
    introduced(split_symbol_definition) ).

fof(f420,plain,
    ( apply(sk0_8,apply(sk0_7,sk0_9)) != empty_set
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f418]) ).

fof(f421,plain,
    ( ~ relation(relation_composition(sk0_7,sk0_8))
    | ~ function(relation_composition(sk0_7,sk0_8))
    | in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8)))
    | apply(sk0_8,apply(sk0_7,sk0_9)) != empty_set ),
    inference(resolution,[status(thm)],[f55,f119]) ).

fof(f422,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_4
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f421,f369,f372,f148,f418]) ).

fof(f423,plain,
    ( ~ relation(sk0_8)
    | ~ function(sk0_8)
    | in(apply(sk0_7,sk0_9),relation_dom(sk0_8))
    | spl0_22 ),
    inference(resolution,[status(thm)],[f420,f348]) ).

fof(f424,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | spl0_20
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f423,f136,f139,f410,f418]) ).

fof(f607,plain,
    ( spl0_33
  <=> empty(relation_dom(sk0_7)) ),
    introduced(split_symbol_definition) ).

fof(f608,plain,
    ( empty(relation_dom(sk0_7))
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f607]) ).

fof(f610,plain,
    ( spl0_34
  <=> in(sk0_9,relation_dom(sk0_7)) ),
    introduced(split_symbol_definition) ).

fof(f613,plain,
    ( empty(relation_dom(sk0_7))
    | in(sk0_9,relation_dom(sk0_7)) ),
    inference(resolution,[status(thm)],[f121,f165]) ).

fof(f614,plain,
    ( spl0_33
    | spl0_34 ),
    inference(split_clause,[status(thm)],[f613,f607,f610]) ).

fof(f615,plain,
    ( $false
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f608,f130]) ).

fof(f616,plain,
    ~ spl0_33,
    inference(contradiction_clause,[status(thm)],[f615]) ).

fof(f617,plain,
    ( ~ relation(sk0_8)
    | ~ function(sk0_8)
    | ~ relation(sk0_7)
    | ~ function(sk0_7)
    | in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8)))
    | ~ in(sk0_9,relation_dom(sk0_7))
    | ~ spl0_20 ),
    inference(resolution,[status(thm)],[f107,f411]) ).

fof(f618,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_34
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f617,f136,f139,f142,f145,f148,f610,f410]) ).

fof(f619,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f152,f385,f387,f389,f391,f403,f409,f422,f424,f614,f616,f618]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % 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 19:50:29 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.19/0.52  % Refutation found
% 0.19/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.53  % Elapsed time: 0.181820 seconds
% 0.19/0.53  % CPU time: 1.339401 seconds
% 0.19/0.53  % Total memory used: 78.254 MB
% 0.19/0.53  % Net memory used: 77.567 MB
%------------------------------------------------------------------------------