%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV202+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:46:52 PM UTC 2026
% Result : Theorem 0.08s 0.44s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 77 ( 17 unt; 11 def)
% Number of atoms : 365 ( 174 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 386 ( 98 ~; 89 |; 174 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 53 ( 51 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [C,D] :
( ( leq(D,pred(pv5))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(z_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,pred(pv5))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(u_defuse,A,B) = use )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [E,F] :
( ( leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( ( ~ ( pv5 = F
& n2 = E )
& ~ ( pv5 = F
& n1 = E )
& ~ ( pv5 = F
& n0 = E ) )
=> a_select3(u_defuse,E,F) = use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [C,D] :
( ( leq(D,pred(pv5))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(z_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,pred(pv5))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(u_defuse,A,B) = use )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [E,F] :
( ( leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( ( ~ ( pv5 = F
& n2 = E )
& ~ ( pv5 = F
& n1 = E )
& ~ ( pv5 = F
& n0 = E ) )
=> a_select3(u_defuse,E,F) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f86,axiom,
! [X] :
( ( leq(X,n1)
& leq(n0,X) )
=> ( X = n1
| X = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f118,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f122,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f123,plain,
( ! [X,Y] :
( ~ gt(succ(Y),X)
| leq(X,Y) )
& ! [X,Y] :
( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f125,plain,
! [X0,X1] :
( ~ gt(succ(X1),X0)
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f251,plain,
( ? [E,F] :
( a_select3(u_defuse,E,F) != use
& ( pv5 != F
| n2 != E )
& ( pv5 != F
| n1 != E )
& ( pv5 != F
| n0 != E )
& leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
& ! [C,D] :
( a_select3(z_defuse,C,D) = use
| ~ leq(D,pred(pv5))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(u_defuse,A,B) = use
| ~ leq(B,pred(pv5))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select3(u_defuse,sK23_skl,sK24_skl) != use
& ( pv5 != sK24_skl
| n2 != sK23_skl )
& ( pv5 != sK24_skl
| n1 != sK23_skl )
& ( pv5 != sK24_skl
| n0 != sK23_skl )
& leq(sK24_skl,pv5)
& leq(sK23_skl,n2)
& leq(n0,sK24_skl)
& leq(n0,sK23_skl)
& ! [C,D] :
( a_select3(z_defuse,C,D) = use
| ~ leq(D,pred(pv5))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(u_defuse,A,B) = use
| ~ leq(B,pred(pv5))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251]) ).
fof(f280,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f283,plain,
! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f285,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f286,plain,
leq(n0,sK24_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f287,plain,
leq(sK23_skl,n2),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f288,plain,
leq(sK24_skl,pv5),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f289,plain,
( pv5 != sK24_skl
| n0 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f290,plain,
( pv5 != sK24_skl
| n1 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f291,plain,
( pv5 != sK24_skl
| n2 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f292,plain,
a_select3(u_defuse,sK23_skl,sK24_skl) != use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f327,plain,
! [X] :
( X = n1
| X = n0
| ~ leq(X,n1)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f86]) ).
fof(f328,plain,
! [X0] :
( X0 = n1
| X0 = n0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f335,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f336,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f374,definition,
( sQ0_spl
<=> n0 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f377,definition,
( sQ1_spl
<=> pv5 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f289,f374,f377]) ).
fof(f381,definition,
( sQ2_spl
<=> n1 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ2_spl
| n1 != sK23_skl ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f290,f381,f377]) ).
fof(f385,definition,
( sQ3_spl
<=> n2 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f291,f385,f377]) ).
fof(f406,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f335,f336]) ).
fof(f684,plain,
( ~ leq(sK24_skl,pred(pv5))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f292,f283]) ).
fof(f685,definition,
( sQ48_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( sQ48_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ49_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( sQ49_spl
| ~ leq(n0,sK24_skl) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,definition,
( sQ50_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( sQ50_spl
| ~ leq(sK23_skl,n2) ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,definition,
( sQ51_spl
<=> leq(sK24_skl,pred(pv5)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( sQ51_spl
| ~ leq(sK24_skl,pred(pv5)) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| ~ sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f684,f685,f688,f691,f694]) ).
fof(f698,plain,
( sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f287]) ).
fof(f699,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f286]) ).
fof(f701,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f285]) ).
fof(f703,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( sQ51_spl
| ~ gt(pv5,sK24_skl) ),
inference(resolution,[status(thm)],[f696,f118]) ).
fof(f711,plain,
( sQ51_spl
| sK24_skl = pv5
| ~ leq(sK24_skl,pv5) ),
inference(resolution,[status(thm)],[f704,f114]) ).
fof(f715,definition,
( sQ52_spl
<=> leq(sK24_skl,pv5) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( sQ52_spl
| ~ leq(sK24_skl,pv5) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( sQ51_spl
| sQ1_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f711,f715,f377,f694]) ).
fof(f723,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f288]) ).
fof(f724,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f740,plain,
( sQ2_spl
| sK23_skl = n0
| ~ leq(sK23_skl,n1)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f383,f328]) ).
fof(f741,definition,
( sQ54_spl
<=> leq(sK23_skl,n1) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( sQ54_spl
| ~ leq(sK23_skl,n1) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( sQ2_spl
| sQ0_spl
| ~ sQ54_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f740,f685,f741,f374,f381]) ).
fof(f746,definition,
( sQ55_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( sQ55_spl
| ~ leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f753,plain,
( sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f748,f280]) ).
fof(f754,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f755,plain,
( sQ54_spl
| ~ gt(succ(n1),sK23_skl) ),
inference(resolution,[status(thm)],[f743,f125]) ).
fof(f759,plain,
( sQ54_spl
| ~ gt(n2,sK23_skl) ),
inference(forward_demodulation,[status(thm)],[f406,f755]) ).
fof(f788,plain,
( sQ54_spl
| sK23_skl = n2
| ~ leq(sK23_skl,n2) ),
inference(resolution,[status(thm)],[f759,f114]) ).
fof(f792,plain,
( sQ54_spl
| sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f788,f691,f385,f741]) ).
fof(f797,plain,
$false,
inference(sat_refutation,[status(thm)],[f380,f384,f388,f697,f699,f701,f703,f718,f724,f744,f754,f792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV202+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:32:36 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.44 % Refutation found
% 0.08/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.46 % Elapsed time: 0.091989 seconds
% 0.08/0.46 % CPU time: 0.412402 seconds
% 0.08/0.46 % Total memory used: 114.586 MB
% 0.08/0.46 % Net memory used: 113.978 MB
%------------------------------------------------------------------------------