TSTP Solution File: GEO177+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 : Wed May 31 12:08:03 EDT 2023

% Result   : Theorem 2.15s 0.66s
% Output   : CNFRefutation 2.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 11:26:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 2.15/0.66  % Refutation found
% 2.15/0.66  % SZS status Theorem for theBenchmark: Theorem is valid
% 2.15/0.66  % SZS output start CNFRefutation for theBenchmark
% 2.15/0.66  fof(f1,axiom,(
% 2.15/0.66    (! [X] : ~ distinct_points(X,X) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f4,axiom,(
% 2.15/0.66    (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f7,axiom,(
% 2.15/0.66    (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f8,axiom,(
% 2.15/0.66    (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f11,axiom,(
% 2.15/0.66    (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f13,axiom,(
% 2.15/0.66    (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f15,conjecture,(
% 2.15/0.66    (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_points(U,V) )=> ( ( apart_point_and_line(X,line_connecting(U,V))| apart_point_and_line(Y,line_connecting(U,V)) )=> ( apart_point_and_line(U,line_connecting(X,Y))| apart_point_and_line(V,line_connecting(X,Y)) ) ) ) )),
% 2.15/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.15/0.66  fof(f16,negated_conjecture,(
% 2.15/0.66    ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_points(U,V) )=> ( ( apart_point_and_line(X,line_connecting(U,V))| apart_point_and_line(Y,line_connecting(U,V)) )=> ( apart_point_and_line(U,line_connecting(X,Y))| apart_point_and_line(V,line_connecting(X,Y)) ) ) ) ))),
% 2.15/0.66    inference(negated_conjecture,[status(cth)],[f15])).
% 2.15/0.66  fof(f17,plain,(
% 2.15/0.66    ![X0]: (~distinct_points(X0,X0))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f1])).
% 2.15/0.66  fof(f20,plain,(
% 2.15/0.66    ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 2.15/0.66    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 2.15/0.66  fof(f21,plain,(
% 2.15/0.66    ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 2.15/0.66    inference(miniscoping,[status(esa)],[f20])).
% 2.15/0.66  fof(f22,plain,(
% 2.15/0.66    ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f21])).
% 2.15/0.66  fof(f29,plain,(
% 2.15/0.66    ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 2.15/0.66    inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.15/0.66  fof(f30,plain,(
% 2.15/0.66    ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f29])).
% 2.15/0.66  fof(f31,plain,(
% 2.15/0.66    ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 2.15/0.66    inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.15/0.66  fof(f32,plain,(
% 2.15/0.66    ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f31])).
% 2.15/0.66  fof(f37,plain,(
% 2.15/0.66    ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 2.15/0.66    inference(pre_NNF_transformation,[status(esa)],[f11])).
% 2.15/0.66  fof(f38,plain,(
% 2.15/0.66    ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f37])).
% 2.15/0.66  fof(f42,plain,(
% 2.15/0.66    ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 2.15/0.66    inference(pre_NNF_transformation,[status(esa)],[f13])).
% 2.15/0.66  fof(f43,plain,(
% 2.15/0.66    ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 2.15/0.66    inference(miniscoping,[status(esa)],[f42])).
% 2.15/0.66  fof(f44,plain,(
% 2.15/0.66    ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f43])).
% 2.15/0.66  fof(f48,plain,(
% 2.15/0.66    (?[X,Y,U,V]: ((distinct_points(X,Y)&distinct_points(U,V))&((apart_point_and_line(X,line_connecting(U,V))|apart_point_and_line(Y,line_connecting(U,V)))&(~apart_point_and_line(U,line_connecting(X,Y))&~apart_point_and_line(V,line_connecting(X,Y))))))),
% 2.15/0.66    inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.15/0.66  fof(f49,plain,(
% 2.15/0.66    ((distinct_points(sk0_0,sk0_1)&distinct_points(sk0_2,sk0_3))&((apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3)))&(~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))&~apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1)))))),
% 2.15/0.66    inference(skolemization,[status(esa)],[f48])).
% 2.15/0.66  fof(f50,plain,(
% 2.15/0.66    distinct_points(sk0_0,sk0_1)),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f49])).
% 2.15/0.66  fof(f51,plain,(
% 2.15/0.66    distinct_points(sk0_2,sk0_3)),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f49])).
% 2.15/0.66  fof(f52,plain,(
% 2.15/0.66    apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f49])).
% 2.15/0.66  fof(f53,plain,(
% 2.15/0.66    ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f49])).
% 2.15/0.66  fof(f54,plain,(
% 2.15/0.66    ~apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 2.15/0.66    inference(cnf_transformation,[status(esa)],[f49])).
% 2.15/0.66  fof(f55,plain,(
% 2.15/0.66    spl0_0 <=> apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f56,plain,(
% 2.15/0.66    apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|~spl0_0),
% 2.15/0.66    inference(component_clause,[status(thm)],[f55])).
% 2.15/0.66  fof(f58,plain,(
% 2.15/0.66    spl0_1 <=> apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f59,plain,(
% 2.15/0.66    apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))|~spl0_1),
% 2.15/0.66    inference(component_clause,[status(thm)],[f58])).
% 2.15/0.66  fof(f61,plain,(
% 2.15/0.66    spl0_0|spl0_1),
% 2.15/0.66    inference(split_clause,[status(thm)],[f52,f55,f58])).
% 2.15/0.66  fof(f62,plain,(
% 2.15/0.66    ![X0]: (distinct_points(sk0_2,X0)|distinct_points(sk0_3,X0))),
% 2.15/0.66    inference(resolution,[status(thm)],[f22,f51])).
% 2.15/0.66  fof(f64,plain,(
% 2.15/0.66    ![X0,X1]: (distinct_points(sk0_2,X0)|distinct_points(sk0_3,X1)|distinct_points(X0,X1))),
% 2.15/0.66    inference(resolution,[status(thm)],[f62,f22])).
% 2.15/0.66  fof(f77,plain,(
% 2.15/0.66    distinct_points(sk0_3,sk0_2)),
% 2.15/0.66    inference(resolution,[status(thm)],[f64,f17])).
% 2.15/0.66  fof(f1158,plain,(
% 2.15/0.66    ![X0]: (distinct_lines(line_connecting(sk0_2,sk0_3),X0)|apart_point_and_line(sk0_1,X0)|~spl0_1)),
% 2.15/0.66    inference(resolution,[status(thm)],[f44,f59])).
% 2.15/0.66  fof(f1180,plain,(
% 2.15/0.66    ![X0]: (distinct_lines(line_connecting(sk0_2,sk0_3),X0)|apart_point_and_line(sk0_0,X0)|~spl0_0)),
% 2.15/0.66    inference(resolution,[status(thm)],[f56,f44])).
% 2.15/0.66  fof(f1759,plain,(
% 2.15/0.66    ![X0,X1,X2]: (apart_point_and_line(sk0_0,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X2,X0)|~spl0_0)),
% 2.15/0.66    inference(resolution,[status(thm)],[f1180,f38])).
% 2.15/0.66  fof(f1811,plain,(
% 2.15/0.66    spl0_55 <=> apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f1812,plain,(
% 2.15/0.66    apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))|~spl0_55),
% 2.15/0.66    inference(component_clause,[status(thm)],[f1811])).
% 2.15/0.66  fof(f1819,plain,(
% 2.15/0.66    spl0_57 <=> apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_3))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f1820,plain,(
% 2.15/0.66    apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_3))|~spl0_57),
% 2.15/0.66    inference(component_clause,[status(thm)],[f1819])).
% 2.15/0.66  fof(f2124,plain,(
% 2.15/0.66    spl0_106 <=> apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_3,X0)|apart_point_and_line(sk0_2,X0)),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f2125,plain,(
% 2.15/0.66    ![X0]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_3,X0)|apart_point_and_line(sk0_2,X0)|~spl0_106)),
% 2.15/0.66    inference(component_clause,[status(thm)],[f2124])).
% 2.15/0.66  fof(f2127,plain,(
% 2.15/0.66    ![X0]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_3,X0)|apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_2,X0)|~spl0_0)),
% 2.15/0.66    inference(resolution,[status(thm)],[f1759,f77])).
% 2.15/0.66  fof(f2128,plain,(
% 2.15/0.66    spl0_106|spl0_55|spl0_57|~spl0_0),
% 2.15/0.66    inference(split_clause,[status(thm)],[f2127,f2124,f1811,f1819,f55])).
% 2.15/0.66  fof(f3077,plain,(
% 2.15/0.66    ~distinct_points(sk0_2,sk0_3)|~spl0_55),
% 2.15/0.66    inference(resolution,[status(thm)],[f1812,f32])).
% 2.15/0.66  fof(f3078,plain,(
% 2.15/0.66    $false|~spl0_55),
% 2.15/0.66    inference(forward_subsumption_resolution,[status(thm)],[f3077,f51])).
% 2.15/0.66  fof(f3079,plain,(
% 2.15/0.66    ~spl0_55),
% 2.15/0.66    inference(contradiction_clause,[status(thm)],[f3078])).
% 2.15/0.66  fof(f3086,plain,(
% 2.15/0.66    ![X0,X1,X2]: (apart_point_and_line(sk0_1,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X2,X0)|~spl0_1)),
% 2.15/0.66    inference(resolution,[status(thm)],[f1158,f38])).
% 2.15/0.66  fof(f4042,plain,(
% 2.15/0.66    spl0_242 <=> apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_3,X0)|apart_point_and_line(sk0_2,X0)),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f4043,plain,(
% 2.15/0.66    ![X0]: (apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_3,X0)|apart_point_and_line(sk0_2,X0)|~spl0_242)),
% 2.15/0.66    inference(component_clause,[status(thm)],[f4042])).
% 2.15/0.66  fof(f4045,plain,(
% 2.15/0.66    ![X0]: (apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_3,X0)|apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_2,X0)|~spl0_1)),
% 2.15/0.66    inference(resolution,[status(thm)],[f3086,f77])).
% 2.15/0.66  fof(f4046,plain,(
% 2.15/0.66    spl0_242|spl0_55|spl0_57|~spl0_1),
% 2.15/0.66    inference(split_clause,[status(thm)],[f4045,f4042,f1811,f1819,f58])).
% 2.15/0.66  fof(f5037,plain,(
% 2.15/0.66    ~distinct_points(sk0_2,sk0_3)|~spl0_57),
% 2.15/0.66    inference(resolution,[status(thm)],[f1820,f30])).
% 2.15/0.66  fof(f5038,plain,(
% 2.15/0.66    $false|~spl0_57),
% 2.15/0.66    inference(forward_subsumption_resolution,[status(thm)],[f5037,f51])).
% 2.15/0.66  fof(f5039,plain,(
% 2.15/0.66    ~spl0_57),
% 2.15/0.66    inference(contradiction_clause,[status(thm)],[f5038])).
% 2.15/0.66  fof(f5045,plain,(
% 2.15/0.66    spl0_313 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f5046,plain,(
% 2.15/0.66    apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_313),
% 2.15/0.66    inference(component_clause,[status(thm)],[f5045])).
% 2.15/0.66  fof(f5048,plain,(
% 2.15/0.66    spl0_314 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f5049,plain,(
% 2.15/0.66    apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_314),
% 2.15/0.66    inference(component_clause,[status(thm)],[f5048])).
% 2.15/0.66  fof(f5057,plain,(
% 2.15/0.66    ~distinct_points(sk0_0,sk0_1)|~spl0_313),
% 2.15/0.66    inference(resolution,[status(thm)],[f5046,f30])).
% 2.15/0.66  fof(f5058,plain,(
% 2.15/0.66    $false|~spl0_313),
% 2.15/0.66    inference(forward_subsumption_resolution,[status(thm)],[f5057,f50])).
% 2.15/0.66  fof(f5059,plain,(
% 2.15/0.66    ~spl0_313),
% 2.15/0.66    inference(contradiction_clause,[status(thm)],[f5058])).
% 2.15/0.66  fof(f5060,plain,(
% 2.15/0.66    ~distinct_points(sk0_0,sk0_1)|~spl0_314),
% 2.15/0.66    inference(resolution,[status(thm)],[f5049,f32])).
% 2.15/0.66  fof(f5061,plain,(
% 2.15/0.66    $false|~spl0_314),
% 2.15/0.66    inference(forward_subsumption_resolution,[status(thm)],[f5060,f50])).
% 2.15/0.66  fof(f5062,plain,(
% 2.15/0.66    ~spl0_314),
% 2.15/0.66    inference(contradiction_clause,[status(thm)],[f5061])).
% 2.15/0.66  fof(f5169,plain,(
% 2.15/0.66    spl0_318 <=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 2.15/0.66    introduced(split_symbol_definition)).
% 2.15/0.66  fof(f5170,plain,(
% 2.15/0.66    apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_318),
% 2.15/0.66    inference(component_clause,[status(thm)],[f5169])).
% 2.15/0.66  fof(f5172,plain,(
% 2.15/0.66    apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_242),
% 2.15/0.66    inference(resolution,[status(thm)],[f4043,f54])).
% 2.15/0.66  fof(f5173,plain,(
% 2.15/0.66    spl0_314|spl0_318|~spl0_242),
% 2.15/0.66    inference(split_clause,[status(thm)],[f5172,f5048,f5169,f4042])).
% 2.15/0.66  fof(f5178,plain,(
% 2.15/0.66    $false|~spl0_318),
% 2.15/0.66    inference(forward_subsumption_resolution,[status(thm)],[f5170,f53])).
% 2.15/0.66  fof(f5179,plain,(
% 2.15/0.66    ~spl0_318),
% 2.15/0.66    inference(contradiction_clause,[status(thm)],[f5178])).
% 2.15/0.66  fof(f5352,plain,(
% 2.15/0.66    apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_106),
% 2.15/0.66    inference(resolution,[status(thm)],[f2125,f54])).
% 2.15/0.66  fof(f5353,plain,(
% 2.15/0.66    spl0_313|spl0_318|~spl0_106),
% 2.15/0.66    inference(split_clause,[status(thm)],[f5352,f5045,f5169,f2124])).
% 2.15/0.66  fof(f5358,plain,(
% 2.15/0.66    $false),
% 2.15/0.66    inference(sat_refutation,[status(thm)],[f61,f2128,f3079,f4046,f5039,f5059,f5062,f5173,f5179,f5353])).
% 2.15/0.66  % SZS output end CNFRefutation for theBenchmark.p
% 2.48/0.67  % Elapsed time: 0.327983 seconds
% 2.48/0.67  % CPU time: 2.486710 seconds
% 2.48/0.67  % Memory used: 18.238 MB
%------------------------------------------------------------------------------