TSTP Solution File: GRP501-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP501-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:11:52 EDT 2023
% Result : Unsatisfiable 9.55s 1.63s
% Output : CNFRefutation 10.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 85 ( 85 unt; 0 def)
% Number of atoms : 85 ( 84 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 300 (; 300 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),inverse(double_divide(X0,double_divide(X2,X3))))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X1,X0)))) = X4,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),X2)),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),inverse(X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),double_divide(X3,X4))),multiply(X4,X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f66,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X0)),X3)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(double_divide(X1,X0)),X3)),multiply(X4,X2)))) = X4,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(multiply(X0,X1),X3)),multiply(X4,X2)))) = X4,
inference(forward_demodulation,[status(thm)],[f5,f104]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(multiply(X3,X4),X0)),double_divide(X4,X3))),
inference(paramodulation,[status(thm)],[f5,f66]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,double_divide(multiply(X5,X6),X0)),double_divide(X6,X5))),X2)),multiply(X7,X1)))) = X7,
inference(paramodulation,[status(thm)],[f123,f105]) ).
fof(f221,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X0,X2)),multiply(X3,X1)))) = X3,
inference(forward_demodulation,[status(thm)],[f123,f220]) ).
fof(f288,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X0)),multiply(X2,X3)) = multiply(double_divide(X4,double_divide(X1,X4)),multiply(X2,X3)),
inference(paramodulation,[status(thm)],[f221,f66]) ).
fof(f308,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,X0))),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f221,f5]) ).
fof(f530,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(X3,double_divide(X1,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(multiply(X6,X7),X2)),double_divide(X7,X6)))),
inference(paramodulation,[status(thm)],[f123,f288]) ).
fof(f531,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(X3,double_divide(X1,X3)),X2),
inference(forward_demodulation,[status(thm)],[f123,f530]) ).
fof(f598,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X0,X1)))),X3) = inverse(double_divide(X6,double_divide(X5,X6))),
inference(paramodulation,[status(thm)],[f288,f308]) ).
fof(f599,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(X1,X0))) = inverse(double_divide(X2,double_divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f308,f598]) ).
fof(f600,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = inverse(double_divide(X2,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5,f599]) ).
fof(f601,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f5,f600]) ).
fof(f603,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(X0,double_divide(inverse(multiply(X1,X2)),multiply(double_divide(X3,double_divide(X0,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X1,X2))))) = double_divide(X6,double_divide(X5,X6)),
inference(paramodulation,[status(thm)],[f288,f221]) ).
fof(f604,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f221,f603]) ).
fof(f667,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = inverse(double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f601,f15]) ).
fof(f668,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = multiply(X3,X4),
inference(forward_demodulation,[status(thm)],[f5,f667]) ).
fof(f721,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X3,double_divide(X1,X3)),
inference(paramodulation,[status(thm)],[f604,f604]) ).
fof(f742,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X0,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3)),
inference(paramodulation,[status(thm)],[f604,f66]) ).
fof(f759,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X0)),
inference(paramodulation,[status(thm)],[f604,f601]) ).
fof(f2366,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X0,X1)),inverse(multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3))),
inference(paramodulation,[status(thm)],[f742,f742]) ).
fof(f3362,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = multiply(double_divide(X4,double_divide(X3,X4)),inverse(multiply(double_divide(X5,double_divide(inverse(X6),X5)),X6))),
inference(paramodulation,[status(thm)],[f2366,f668]) ).
fof(f3363,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = X3,
inference(forward_demodulation,[status(thm)],[f2366,f3362]) ).
fof(f3429,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,X0))),X3) = X3,
inference(paramodulation,[status(thm)],[f11,f3363]) ).
fof(f3509,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(inverse(X0),X1)))),X2) = X2,
inference(paramodulation,[status(thm)],[f742,f3429]) ).
fof(f3510,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X0),X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f5,f3509]) ).
fof(f3624,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(inverse(double_divide(X1,X0)),X2),X2)),X3) = X3,
inference(paramodulation,[status(thm)],[f5,f3510]) ).
fof(f3625,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(multiply(X0,X1),X2),X2)),X3) = X3,
inference(forward_demodulation,[status(thm)],[f5,f3624]) ).
fof(f3702,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,multiply(double_divide(multiply(double_divide(multiply(X1,X2),multiply(double_divide(multiply(X1,X2),X3),X3)),X0),X4),X4)),X5) = X5,
inference(paramodulation,[status(thm)],[f3625,f3625]) ).
fof(f3703,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f3625,f3702]) ).
fof(f3851,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(double_divide(X1,double_divide(X2,X1)),double_divide(X2,X0))),X3) = X3,
inference(paramodulation,[status(thm)],[f531,f3703]) ).
fof(f3899,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),X0)) = multiply(double_divide(X2,X3),X3),
inference(paramodulation,[status(thm)],[f3703,f8]) ).
fof(f5779,plain,
! [X0,X1,X2,X3] : double_divide(inverse(double_divide(X0,X1)),multiply(double_divide(X1,X2),X2)) = multiply(double_divide(X0,X3),X3),
inference(paramodulation,[status(thm)],[f759,f3899]) ).
fof(f5780,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X0,X2),X2)) = multiply(double_divide(X1,X3),X3),
inference(forward_demodulation,[status(thm)],[f5,f5779]) ).
fof(f6318,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(multiply(X1,X0),multiply(double_divide(X1,X2),X2))),X3) = X3,
inference(paramodulation,[status(thm)],[f5780,f3851]) ).
fof(f6386,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X1) = double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X0),
inference(paramodulation,[status(thm)],[f759,f6318]) ).
fof(f6394,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),X0)),X3) = X3,
inference(paramodulation,[status(thm)],[f531,f6318]) ).
fof(f6514,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X2),X2),X3) = X3,
inference(paramodulation,[status(thm)],[f6318,f3363]) ).
fof(f7043,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X1)),multiply(X4,X0))),X4),X5) = X5,
inference(paramodulation,[status(thm)],[f221,f6394]) ).
fof(f7044,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),multiply(X1,X0)),X1),X2) = X2,
inference(forward_demodulation,[status(thm)],[f6394,f7043]) ).
fof(f7230,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),multiply(X1,X0)),X2),X2) = X1,
inference(paramodulation,[status(thm)],[f601,f7044]) ).
fof(f8483,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X1)),X0)),X4) = X4,
inference(paramodulation,[status(thm)],[f3899,f6514]) ).
fof(f8484,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f6394,f8483]) ).
fof(f8488,plain,
! [X0,X1,X2] : multiply(multiply(multiply(double_divide(X0,X1),X1),X0),X2) = X2,
inference(paramodulation,[status(thm)],[f6386,f6514]) ).
fof(f8598,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f601,f8484]) ).
fof(f8738,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f8598]) ).
fof(f8863,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(multiply(double_divide(X0,X1),X1),X0),multiply(X2,multiply(double_divide(X2,X3),X3))),X4) = X4,
inference(paramodulation,[status(thm)],[f6386,f8488]) ).
fof(f8864,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f8488,f8863]) ).
fof(f10458,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f8598,f8864]) ).
fof(f10560,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(inverse(X0),X0),X1),X1),X2) = X2,
inference(paramodulation,[status(thm)],[f10458,f8864]) ).
fof(f10561,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f8738,f10560]) ).
fof(f10608,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f8738,f10561]) ).
fof(f10609,plain,
! [X0,X1] : X0 = inverse(double_divide(inverse(X1),multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f7230,f10561]) ).
fof(f10610,plain,
! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f10609]) ).
fof(f10611,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8598,f10561]) ).
fof(f10616,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f601,f10561]) ).
fof(f10925,plain,
! [X0,X1] : X0 = inverse(multiply(double_divide(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f8864,f10610]) ).
fof(f10926,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10608,f10925]) ).
fof(f11085,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f10926,f721]) ).
fof(f11086,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f10926,f11085]) ).
fof(f11099,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(X1,multiply(double_divide(X1,X2),X0))) = X2,
inference(backward_demodulation,[status(thm)],[f10926,f8]) ).
fof(f11297,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f11086,f5]) ).
fof(f11577,plain,
! [X0,X1] : X0 = multiply(inverse(X1),inverse(double_divide(X0,X1))),
inference(paramodulation,[status(thm)],[f11297,f10610]) ).
fof(f11578,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f5,f11577]) ).
fof(f11718,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f10611,f11578]) ).
fof(f11861,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(inverse(double_divide(X0,X1)),X2)),multiply(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f11718,f11099]) ).
fof(f11862,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),multiply(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f10608,f11861]) ).
fof(f11863,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f11862]) ).
fof(f29201,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f11863,f10616]) ).
fof(f29202,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f5,f29201]) ).
fof(f35053,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f29202,f6]) ).
fof(f35054,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f35053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP501-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 11:33:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 9.55/1.63 % Refutation found
% 9.55/1.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.55/1.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.28/1.68 % Elapsed time: 1.317471 seconds
% 10.28/1.68 % CPU time: 10.286577 seconds
% 10.28/1.68 % Memory used: 195.576 MB
%------------------------------------------------------------------------------