%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO010+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:17 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 12 unt; 4 def)
% Number of atoms : 263 ( 9 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 287 ( 96 ~; 90 |; 83 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 4 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 163 ( 125 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X12,X13] :
( occurrence_of(X13,X12)
=> ( activity_occurrence(X13)
& activity(X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X28,X29,X30] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X31,X32,X33] :
( ( leaf_occ(X32,X31)
& occurrence_of(X31,X33) )
=> ~ ? [X34] : min_precedes(X32,X34,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X41] :
( activity_occurrence(X41)
=> ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X47,X48] :
( leaf(X47,X48)
<=> ( ~ ? [X50] : min_precedes(X47,X50,X48)
& ( ? [X49] : min_precedes(X49,X47,X48)
| root(X47,X48) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X55,X56] :
( leaf_occ(X55,X56)
<=> ? [X57] :
( leaf(X55,X57)
& subactivity_occurrence(X55,X56)
& occurrence_of(X56,X57) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103,X104] :
( leaf_occ(X104,X101)
& next_subocc(X103,X104,tptp0)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp1) )
& next_subocc(X102,X103,tptp0)
& occurrence_of(X103,tptp4)
& root_occ(X102,X101)
& occurrence_of(X102,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,conjecture,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( ( occurrence_of(X107,tptp2)
=> ~ ? [X109] :
( min_precedes(X106,X109,tptp0)
& occurrence_of(X109,tptp1) ) )
& ( occurrence_of(X107,tptp1)
=> ~ ? [X108] :
( min_precedes(X106,X108,tptp0)
& occurrence_of(X108,tptp2) ) )
& leaf_occ(X107,X105) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ ! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( ( occurrence_of(X107,tptp2)
=> ~ ? [X109] :
( min_precedes(X106,X109,tptp0)
& occurrence_of(X109,tptp1) ) )
& ( occurrence_of(X107,tptp1)
=> ~ ? [X108] :
( min_precedes(X106,X108,tptp0)
& occurrence_of(X108,tptp2) ) )
& leaf_occ(X107,X105) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f58,plain,
! [X12,X13] :
( ( activity_occurrence(X13)
& activity(X12) )
| ~ occurrence_of(X13,X12) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f77,plain,
! [X28,X29,X30] :
( X29 = X30
| ~ occurrence_of(X28,X30)
| ~ occurrence_of(X28,X29) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
! [X29,X30] :
( X29 = X30
| ! [X28] :
( ~ occurrence_of(X28,X30)
| ~ occurrence_of(X28,X29) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X31,X32,X33] :
( ! [X34] : ~ min_precedes(X32,X34,X33)
| ~ leaf_occ(X32,X31)
| ~ occurrence_of(X31,X33) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f81,plain,
! [X32,X33] :
( ! [X34] : ~ min_precedes(X32,X34,X33)
| ! [X31] :
( ~ leaf_occ(X32,X31)
| ~ occurrence_of(X31,X33) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X2,X3,X1)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f89,plain,
! [X41] :
( ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) )
| ~ activity_occurrence(X41) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f90,plain,
! [X41] :
( ( occurrence_of(X41,sK4_skl(X41))
& activity(sK4_skl(X41)) )
| ~ activity_occurrence(X41) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X42,sK4_skl(X41))],[f89]) ).
fof(f92,plain,
! [X0] :
( occurrence_of(X0,sK4_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f102,plain,
! [X47,X48] :
( leaf(X47,X48)
<=> ( ! [X50] : ~ min_precedes(X47,X50,X48)
& ( ? [X49] : min_precedes(X49,X47,X48)
| root(X47,X48) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f103,plain,
! [X47,X48] :
( ( ? [X50] : min_precedes(X47,X50,X48)
| ( ! [X49] : ~ min_precedes(X49,X47,X48)
& ~ root(X47,X48) )
| leaf(X47,X48) )
& ( ( ! [X50] : ~ min_precedes(X47,X50,X48)
& ( ? [X49] : min_precedes(X49,X47,X48)
| root(X47,X48) ) )
| ~ leaf(X47,X48) ) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( ! [X47,X48] :
( ? [X50] : min_precedes(X47,X50,X48)
| ( ! [X49] : ~ min_precedes(X49,X47,X48)
& ~ root(X47,X48) )
| leaf(X47,X48) )
& ! [X47,X48] :
( ( ! [X50] : ~ min_precedes(X47,X50,X48)
& ( ? [X49] : min_precedes(X49,X47,X48)
| root(X47,X48) ) )
| ~ leaf(X47,X48) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
( ! [X47,X48] :
( min_precedes(X47,sK7_skl(X48,X47),X48)
| ( ! [X49] : ~ min_precedes(X49,X47,X48)
& ~ root(X47,X48) )
| leaf(X47,X48) )
& ! [X47,X48] :
( ( ! [X50] : ~ min_precedes(X47,X50,X48)
& ( min_precedes(sK6_skl(X48,X47),X47,X48)
| root(X47,X48) ) )
| ~ leaf(X47,X48) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(X49,sK6_skl(X48,X47)),skolemize(X50,sK7_skl(X48,X47))],[f104]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X2,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f117,plain,
! [X55,X56] :
( ( ! [X57] :
( ~ leaf(X55,X57)
| ~ subactivity_occurrence(X55,X56)
| ~ occurrence_of(X56,X57) )
| leaf_occ(X55,X56) )
& ( ? [X57] :
( leaf(X55,X57)
& subactivity_occurrence(X55,X56)
& occurrence_of(X56,X57) )
| ~ leaf_occ(X55,X56) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f118,plain,
( ! [X55,X56] :
( ! [X57] :
( ~ leaf(X55,X57)
| ~ subactivity_occurrence(X55,X56)
| ~ occurrence_of(X56,X57) )
| leaf_occ(X55,X56) )
& ! [X55,X56] :
( ? [X57] :
( leaf(X55,X57)
& subactivity_occurrence(X55,X56)
& occurrence_of(X56,X57) )
| ~ leaf_occ(X55,X56) ) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f119,plain,
( ! [X55,X56] :
( ! [X57] :
( ~ leaf(X55,X57)
| ~ subactivity_occurrence(X55,X56)
| ~ occurrence_of(X56,X57) )
| leaf_occ(X55,X56) )
& ! [X55,X56] :
( ( leaf(X55,sK8_skl(X56,X55))
& subactivity_occurrence(X55,X56)
& occurrence_of(X56,sK8_skl(X56,X55)) )
| ~ leaf_occ(X55,X56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(X57,sK8_skl(X56,X55))],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( occurrence_of(X1,sK8_skl(X1,X0))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f122,plain,
! [X0,X1] :
( leaf(X0,sK8_skl(X1,X0))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f176,plain,
! [X101] :
( ? [X102,X103,X104] :
( leaf_occ(X104,X101)
& next_subocc(X103,X104,tptp0)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp1) )
& next_subocc(X102,X103,tptp0)
& occurrence_of(X103,tptp4)
& root_occ(X102,X101)
& occurrence_of(X102,tptp3) )
| ~ occurrence_of(X101,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f177,plain,
! [X101] :
( ? [X104] :
( leaf_occ(X104,X101)
& ? [X103] :
( next_subocc(X103,X104,tptp0)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp1) )
& ? [X102] :
( next_subocc(X102,X103,tptp0)
& occurrence_of(X103,tptp4)
& root_occ(X102,X101)
& occurrence_of(X102,tptp3) ) ) )
| ~ occurrence_of(X101,tptp0) ),
inference(miniscoping,[status(thm)],[f176]) ).
fof(f178,plain,
! [X101] :
( ( leaf_occ(sK12_skl(X101),X101)
& next_subocc(sK13_skl(X101),sK12_skl(X101),tptp0)
& ( occurrence_of(sK12_skl(X101),tptp2)
| occurrence_of(sK12_skl(X101),tptp1) )
& next_subocc(sK14_skl(X101),sK13_skl(X101),tptp0)
& occurrence_of(sK13_skl(X101),tptp4)
& root_occ(sK14_skl(X101),X101)
& occurrence_of(sK14_skl(X101),tptp3) )
| ~ occurrence_of(X101,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(X104,sK12_skl(X101)),skolemize(X103,sK13_skl(X101)),skolemize(X102,sK14_skl(X101))],[f177]) ).
fof(f185,plain,
! [X0] :
( leaf_occ(sK12_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f198,plain,
? [X105] :
( ! [X106,X107] :
( ( ? [X109] :
( min_precedes(X106,X109,tptp0)
& occurrence_of(X109,tptp1) )
& occurrence_of(X107,tptp2) )
| ( ? [X108] :
( min_precedes(X106,X108,tptp0)
& occurrence_of(X108,tptp2) )
& occurrence_of(X107,tptp1) )
| ~ leaf_occ(X107,X105) )
& occurrence_of(X105,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f199,definition,
! [X106,X107] :
( sP0_prd(X107,X106)
<=> ( ? [X108] :
( min_precedes(X106,X108,tptp0)
& occurrence_of(X108,tptp2) )
& occurrence_of(X107,tptp1) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f200,plain,
? [X105] :
( ! [X106,X107] :
( ( ? [X109] :
( min_precedes(X106,X109,tptp0)
& occurrence_of(X109,tptp1) )
& occurrence_of(X107,tptp2) )
| sP0_prd(X107,X106)
| ~ leaf_occ(X107,X105) )
& occurrence_of(X105,tptp0) ),
inference(formula_renaming,[status(thm)],[f198,f199]) ).
fof(f201,plain,
( ! [X106,X107] :
( ( min_precedes(X106,sK16_skl(X107,X106),tptp0)
& occurrence_of(sK16_skl(X107,X106),tptp1)
& occurrence_of(X107,tptp2) )
| sP0_prd(X107,X106)
| ~ leaf_occ(X107,sK15_skl) )
& occurrence_of(sK15_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(X105,sK15_skl),skolemize(X109,sK16_skl(X107,X106))],[f200]) ).
fof(f202,plain,
occurrence_of(sK15_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f205,plain,
! [X0,X1] :
( min_precedes(X1,sK16_skl(X0,X1),tptp0)
| sP0_prd(X0,X1)
| ~ leaf_occ(X0,sK15_skl) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f206,plain,
! [X106,X107] :
( ( ! [X108] :
( ~ min_precedes(X106,X108,tptp0)
| ~ occurrence_of(X108,tptp2) )
| ~ occurrence_of(X107,tptp1)
| sP0_prd(X107,X106) )
& ( ( ? [X108] :
( min_precedes(X106,X108,tptp0)
& occurrence_of(X108,tptp2) )
& occurrence_of(X107,tptp1) )
| ~ sP0_prd(X107,X106) ) ),
inference(NNF_transformation,[status(thm)],[f199]) ).
fof(f207,plain,
( ! [X106,X107] :
( ! [X108] :
( ~ min_precedes(X106,X108,tptp0)
| ~ occurrence_of(X108,tptp2) )
| ~ occurrence_of(X107,tptp1)
| sP0_prd(X107,X106) )
& ! [X106,X107] :
( ( ? [X108] :
( min_precedes(X106,X108,tptp0)
& occurrence_of(X108,tptp2) )
& occurrence_of(X107,tptp1) )
| ~ sP0_prd(X107,X106) ) ),
inference(miniscoping,[status(thm)],[f206]) ).
fof(f208,plain,
( ! [X106,X107] :
( ! [X108] :
( ~ min_precedes(X106,X108,tptp0)
| ~ occurrence_of(X108,tptp2) )
| ~ occurrence_of(X107,tptp1)
| sP0_prd(X107,X106) )
& ! [X106,X107] :
( ( min_precedes(X106,sK17_skl(X107,X106),tptp0)
& occurrence_of(sK17_skl(X107,X106),tptp2)
& occurrence_of(X107,tptp1) )
| ~ sP0_prd(X107,X106) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(X108,sK17_skl(X107,X106))],[f207]) ).
fof(f211,plain,
! [X0,X1] :
( min_precedes(X1,sK17_skl(X0,X1),tptp0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f214,plain,
! [X0] :
( X0 = tptp0
| ~ occurrence_of(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f79,f202]) ).
fof(f236,plain,
! [X0,X1] :
( X1 = sK4_skl(X0)
| ~ occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(resolution,[status(thm)],[f92,f79]) ).
fof(f237,definition,
( sQ2_spl
<=> activity_occurrence(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( sQ2_spl
| ~ activity_occurrence(sK15_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f244,plain,
! [X0,X1] :
( X1 = sK4_skl(X0)
| ~ occurrence_of(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f60]) ).
fof(f246,plain,
tptp0 = sK4_skl(sK15_skl),
inference(resolution,[status(thm)],[f244,f202]) ).
fof(f250,plain,
! [X0] :
( sQ2_spl
| ~ occurrence_of(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f239,f60]) ).
fof(f252,plain,
( sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f202,f250]) ).
fof(f254,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( occurrence_of(sK15_skl,tptp0)
| ~ activity_occurrence(sK15_skl) ),
inference(paramodulation,[status(thm)],[f246,f92]) ).
fof(f257,definition,
( sQ4_spl
<=> occurrence_of(sK15_skl,tptp0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f255,f237,f257]) ).
fof(f339,plain,
leaf_occ(sK12_skl(sK15_skl),sK15_skl),
inference(resolution,[status(thm)],[f185,f202]) ).
fof(f341,plain,
! [X0] :
( min_precedes(X0,sK16_skl(sK12_skl(sK15_skl),X0),tptp0)
| sP0_prd(sK12_skl(sK15_skl),X0) ),
inference(resolution,[status(thm)],[f339,f205]) ).
fof(f344,plain,
leaf(sK12_skl(sK15_skl),sK8_skl(sK15_skl,sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f339,f122]) ).
fof(f345,plain,
occurrence_of(sK15_skl,sK8_skl(sK15_skl,sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f339,f120]) ).
fof(f347,plain,
! [X0,X1] :
( ~ min_precedes(sK12_skl(sK15_skl),X1,X0)
| ~ occurrence_of(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f339,f82]) ).
fof(f425,plain,
sK8_skl(sK15_skl,sK12_skl(sK15_skl)) = tptp0,
inference(resolution,[status(thm)],[f345,f214]) ).
fof(f430,plain,
! [X0] :
( ~ sP0_prd(X0,sK12_skl(sK15_skl))
| ~ occurrence_of(sK15_skl,tptp0) ),
inference(resolution,[status(thm)],[f347,f211]) ).
fof(f431,definition,
! [X0] :
( sQ24_spl
<=> ~ sP0_prd(X0,sK12_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f432,plain,
! [X0] :
( ~ sQ24_spl
| ~ sP0_prd(X0,sK12_skl(sK15_skl)) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f430,f257,f431]) ).
fof(f513,plain,
leaf(sK12_skl(sK15_skl),tptp0),
inference(forward_demodulation,[status(thm)],[f425,f344]) ).
fof(f517,plain,
! [X0] : ~ min_precedes(sK12_skl(sK15_skl),X0,tptp0),
inference(resolution,[status(thm)],[f513,f107]) ).
fof(f600,plain,
sP0_prd(sK12_skl(sK15_skl),sK12_skl(sK15_skl)),
inference(resolution,[status(thm)],[f341,f517]) ).
fof(f608,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f432]) ).
fof(f609,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f608]) ).
fof(f610,plain,
$false,
inference(sat_refutation,[status(thm)],[f254,f260,f434,f609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO010+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 03:42:55 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.059642 seconds
% 0.12/0.41 % CPU time: 0.200648 seconds
% 0.12/0.41 % Total memory used: 85.163 MB
% 0.12/0.41 % Net memory used: 84.983 MB
%------------------------------------------------------------------------------