TSTP Solution File: SWV474+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV474+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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  : 600s
% DateTime : Wed Jul 20 17:47:34 EDT 2022

% Result   : Theorem 16.28s 3.47s
% Output   : CNFRefutation 16.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   82 (  41 unt;  10 nHn;  71 RR)
%            Number of literals    :  200 (  94 equ; 112 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  14 con; 0-2 aty)
%            Number of variables   :   91 (  22 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_104,negated_conjecture,
    host(esk6_0) = host(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_104) ).

cnf(i_0_100,negated_conjecture,
    host(esk12_0) = nbr_proc,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_100) ).

cnf(i_0_99,negated_conjecture,
    index(status,host(esk12_0)) = elec_1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_99) ).

cnf(i_0_103,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = host(esk11_0)
    | leq(host(esk12_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_103) ).

cnf(i_0_108,negated_conjecture,
    ( leq(s(zero),esk8_0)
    | index(status,host(esk6_0)) != elec_1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_108) ).

cnf(i_0_106,negated_conjecture,
    ( host(esk7_0) != esk8_0
    | index(status,host(esk6_0)) != elec_1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_106) ).

cnf(i_0_109,negated_conjecture,
    ( index(status,host(esk6_0)) != elec_1
    | ~ leq(host(esk6_0),esk8_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_109) ).

cnf(i_0_107,negated_conjecture,
    ( index(status,host(esk6_0)) != elec_1
    | ~ setIn(esk8_0,index(down,host(esk6_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_107) ).

cnf(i_0_120,plain,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X5,X6,X7)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ setIn(host(X3),index(down,host(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_120) ).

cnf(i_0_114,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_114) ).

cnf(i_0_98,negated_conjecture,
    setIn(esk9_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_98) ).

cnf(i_0_105,negated_conjecture,
    host(esk9_0) != host(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_105) ).

cnf(i_0_113,negated_conjecture,
    setIn(esk6_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_113) ).

cnf(i_0_2,plain,
    leq(s(zero),host(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_2) ).

cnf(i_0_121,plain,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X5,X6,X7)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(host(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_121) ).

cnf(i_0_101,negated_conjecture,
    host(esk10_0) = host(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_101) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_52) ).

cnf(i_0_115,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_115) ).

cnf(i_0_97,negated_conjecture,
    elem(m_Down(esk10_0),queue(host(esk9_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_97) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_87) ).

cnf(i_0_4,plain,
    leq(host(X1),nbr_proc),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_4) ).

cnf(i_0_51,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_51) ).

cnf(i_0_102,negated_conjecture,
    elem(m_Down(esk11_0),esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ankub6qh/input.p',i_0_102) ).

cnf(c_0_145,negated_conjecture,
    host(esk6_0) = host(esk12_0),
    i_0_104 ).

cnf(c_0_146,negated_conjecture,
    host(esk12_0) = nbr_proc,
    i_0_100 ).

cnf(c_0_147,negated_conjecture,
    index(status,host(esk12_0)) = elec_1,
    i_0_99 ).

cnf(c_0_148,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = host(esk11_0)
    | leq(host(esk12_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    i_0_103 ).

cnf(c_0_149,negated_conjecture,
    host(esk6_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_150,negated_conjecture,
    ( leq(s(zero),esk8_0)
    | index(status,host(esk6_0)) != elec_1 ),
    i_0_108 ).

cnf(c_0_151,negated_conjecture,
    index(status,nbr_proc) = elec_1,
    inference(rw,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_152,negated_conjecture,
    ( host(esk7_0) != esk8_0
    | index(status,host(esk6_0)) != elec_1 ),
    i_0_106 ).

cnf(c_0_153,negated_conjecture,
    ( index(status,host(esk6_0)) != elec_1
    | ~ leq(host(esk6_0),esk8_0) ),
    i_0_109 ).

cnf(c_0_154,negated_conjecture,
    ( index(status,host(esk6_0)) != elec_1
    | ~ setIn(esk8_0,index(down,host(esk6_0))) ),
    i_0_107 ).

cnf(c_0_155,plain,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X5,X6,X7)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ setIn(host(X3),index(down,host(X1))) ),
    i_0_120 ).

cnf(c_0_156,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_114 ).

cnf(c_0_157,negated_conjecture,
    ( X1 = host(esk11_0)
    | X1 = host(esk7_0)
    | leq(nbr_proc,X1)
    | setIn(X1,index(down,nbr_proc))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_146]),c_0_149]) ).

cnf(c_0_158,negated_conjecture,
    leq(s(zero),esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_149]),c_0_151])]) ).

cnf(c_0_159,negated_conjecture,
    host(esk7_0) != esk8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_149]),c_0_151])]) ).

cnf(c_0_160,negated_conjecture,
    ~ leq(nbr_proc,esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_149]),c_0_151]),c_0_149])]) ).

cnf(c_0_161,negated_conjecture,
    ~ setIn(esk8_0,index(down,nbr_proc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_149]),c_0_151]),c_0_149])]) ).

cnf(c_0_162,negated_conjecture,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ setIn(host(X3),index(down,host(X1)))
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_163,negated_conjecture,
    setIn(esk9_0,alive),
    i_0_98 ).

cnf(c_0_164,negated_conjecture,
    host(esk9_0) != host(esk6_0),
    i_0_105 ).

cnf(c_0_165,negated_conjecture,
    host(esk11_0) = esk8_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_160]),c_0_161]) ).

cnf(c_0_166,negated_conjecture,
    ( host(X1) = host(esk9_0)
    | host(esk9_0) != host(X2)
    | host(X1) != host(X3)
    | ~ elem(m_Down(X3),queue(host(esk9_0)))
    | ~ setIn(host(X2),index(down,host(X1)))
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_167,negated_conjecture,
    setIn(esk6_0,alive),
    i_0_113 ).

cnf(c_0_168,negated_conjecture,
    host(esk9_0) != nbr_proc,
    inference(rw,[status(thm)],[c_0_164,c_0_149]) ).

cnf(c_0_169,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = esk8_0
    | leq(nbr_proc,X1)
    | setIn(X1,index(down,nbr_proc))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_157,c_0_165]) ).

cnf(c_0_170,plain,
    leq(s(zero),host(X1)),
    i_0_2 ).

cnf(c_0_171,plain,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X5,X6,X7)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(host(X1))) ),
    i_0_121 ).

cnf(c_0_172,negated_conjecture,
    ( host(esk9_0) != host(X1)
    | host(X2) != nbr_proc
    | ~ elem(m_Down(X2),queue(host(esk9_0)))
    | ~ setIn(host(X1),index(down,nbr_proc)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_149]),c_0_149]),c_0_149]),c_0_168]) ).

cnf(c_0_173,plain,
    ( host(X1) = host(esk7_0)
    | host(X1) = esk8_0
    | leq(nbr_proc,host(X1))
    | setIn(host(X1),index(down,nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_174,negated_conjecture,
    host(esk10_0) = host(esk12_0),
    i_0_101 ).

cnf(c_0_175,negated_conjecture,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_171,c_0_156]) ).

cnf(c_0_176,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_177,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_115 ).

cnf(c_0_178,plain,
    ( host(X1) = host(esk7_0)
    | host(X1) = esk8_0
    | leq(nbr_proc,host(X1))
    | host(esk9_0) != host(X1)
    | host(X2) != nbr_proc
    | ~ elem(m_Down(X2),queue(host(esk9_0))) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_179,negated_conjecture,
    elem(m_Down(esk10_0),queue(host(esk9_0))),
    i_0_97 ).

cnf(c_0_180,negated_conjecture,
    host(esk10_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_174,c_0_146]) ).

cnf(c_0_181,negated_conjecture,
    ( host(X1) = host(esk9_0)
    | host(esk9_0) != host(X2)
    | host(X1) != host(X3)
    | ~ elem(m_Down(X3),queue(host(esk9_0)))
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_175,c_0_163]) ).

cnf(c_0_182,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_176]) ).

cnf(c_0_183,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(nbr_proc),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_156]),c_0_149]) ).

cnf(c_0_184,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | host(X1) = esk8_0
    | leq(nbr_proc,host(X1))
    | host(esk9_0) != host(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180])]) ).

cnf(c_0_185,negated_conjecture,
    ( host(esk9_0) != host(X1)
    | host(X2) != nbr_proc
    | ~ elem(m_Down(X2),queue(host(esk9_0)))
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_167]),c_0_149]),c_0_149]),c_0_149]),c_0_168]) ).

cnf(c_0_186,plain,
    elem(m_Down(esk7_0),queue(nbr_proc)),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_187,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_188,negated_conjecture,
    ( host(esk9_0) = host(esk7_0)
    | host(esk9_0) = esk8_0
    | leq(nbr_proc,host(esk9_0)) ),
    inference(er,[status(thm)],[c_0_184]) ).

cnf(c_0_189,plain,
    leq(host(X1),nbr_proc),
    i_0_4 ).

cnf(c_0_190,plain,
    ( host(esk9_0) != host(esk7_0)
    | host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(esk9_0))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_191,plain,
    ( host(esk9_0) = host(esk7_0)
    | host(esk9_0) = esk8_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]),c_0_168]) ).

cnf(c_0_192,plain,
    ( host(esk9_0) = esk8_0
    | host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(esk7_0))) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_193,negated_conjecture,
    ( host(esk9_0) = esk8_0
    | elem(m_Down(esk10_0),queue(host(esk7_0))) ),
    inference(spm,[status(thm)],[c_0_179,c_0_191]) ).

cnf(c_0_194,negated_conjecture,
    ( host(X1) = nbr_proc
    | host(X1) != host(X2)
    | host(X3) != nbr_proc
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_167]),c_0_149]),c_0_149]),c_0_149]) ).

cnf(c_0_195,negated_conjecture,
    host(esk9_0) = esk8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_180])]) ).

cnf(c_0_196,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    i_0_51 ).

cnf(c_0_197,negated_conjecture,
    elem(m_Down(esk11_0),esk5_0),
    i_0_102 ).

cnf(c_0_198,negated_conjecture,
    ( host(X1) != esk8_0
    | host(X2) != nbr_proc
    | ~ elem(m_Down(X2),queue(esk8_0))
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_163]),c_0_168]),c_0_195]),c_0_195]) ).

cnf(c_0_199,negated_conjecture,
    elem(m_Down(esk10_0),queue(esk8_0)),
    inference(rw,[status(thm)],[c_0_179,c_0_195]) ).

cnf(c_0_200,negated_conjecture,
    elem(m_Down(esk11_0),cons(X1,esk5_0)),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_201,negated_conjecture,
    ( host(X1) != esk8_0
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_180])]) ).

cnf(c_0_202,negated_conjecture,
    elem(m_Down(esk11_0),queue(nbr_proc)),
    inference(spm,[status(thm)],[c_0_200,c_0_183]) ).

cnf(c_0_203,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_165])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV474+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 08:31:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.28/3.47  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.28/3.47  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 89; version: 991; iters: 150)
% 16.28/3.47  # Preprocessing time       : 0.814 s
% 16.28/3.47  # Presaturation interreduction done
% 16.28/3.47  
% 16.28/3.47  # Proof found!
% 16.28/3.47  # SZS status Theorem
% 16.28/3.47  # SZS output start CNFRefutation
% See solution above
% 16.28/3.47  # Training examples: 0 positive, 0 negative
% 16.28/3.47  
% 16.28/3.47  # -------------------------------------------------
% 16.28/3.47  # User time                : 0.890 s
% 16.28/3.47  # System time              : 0.109 s
% 16.28/3.47  # Total time               : 0.999 s
% 16.28/3.47  # ...preprocessing         : 0.814 s
% 16.28/3.47  # ...main loop             : 0.185 s
% 16.28/3.47  # Maximum resident set size: 166584 pages
% 16.28/3.47  
%------------------------------------------------------------------------------