%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU266+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:19:57 PM UTC 2026
% Result : Theorem 0.18s 0.62s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 10 unt; 0 def)
% Number of atoms : 247 ( 49 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 273 ( 107 ~; 121 |; 25 &)
% ( 8 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 190 ( 171 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
=> relation(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( relation_of2(C,A,B)
=> element(relation_rng_as_subset(A,B,C),powerset(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> element(C,powerset(cartesian_product2(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C] :
( relation_of2(C,A,B)
=> relation_rng_as_subset(A,B,C) = relation_rng(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,conjecture,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( ! [D] :
~ ( ! [E] : ~ in(ordered_pair(E,D),C)
& in(D,B) )
<=> relation_rng_as_subset(A,B,C) = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ ! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( ! [D] :
~ ( ! [E] : ~ in(ordered_pair(E,D),C)
& in(D,B) )
<=> relation_rng_as_subset(A,B,C) = B ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f32,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B,C] :
( ( element(B,powerset(C))
& in(A,B) )
=> element(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A,B,C] :
~ ( empty(C)
& element(B,powerset(C))
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,plain,
! [A,B,C] :
( relation(C)
| ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
! [C] :
( relation(C)
| ! [A,B] : ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f46,plain,
! [A] :
( ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ! [C] :
( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
! [A] :
( ( ! [B] :
( ( ( in(ordered_pair(sK2_skl(B,A),sK1_skl(B,A)),A)
| in(sK1_skl(B,A),B) )
& ( ! [D] : ~ in(ordered_pair(D,sK1_skl(B,A)),A)
| ~ in(sK1_skl(B,A),B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ! [C] :
( in(ordered_pair(sK0_skl(C,B,A),C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK0_skl(X2,X1,X0),X2),X0)
| ~ in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f55,plain,
! [A,B,C] :
( element(relation_rng_as_subset(A,B,C),powerset(B))
| ~ relation_of2(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f56,plain,
! [X0,X1,X2] :
( element(relation_rng_as_subset(X1,X2,X0),powerset(X2))
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
| ~ relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f58,plain,
! [X0,X1,X2] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f71,plain,
! [A,B,C] :
( relation_rng_as_subset(A,B,C) = relation_rng(C)
| ~ relation_of2(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f72,plain,
! [X0,X1,X2] :
( relation_rng_as_subset(X1,X2,X0) = relation_rng(X0)
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [A,B,C] :
( ( ~ relation_of2(C,A,B)
| relation_of2_as_subset(C,A,B) )
& ( relation_of2(C,A,B)
| ~ relation_of2_as_subset(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f74,plain,
( ! [A,B,C] :
( ~ relation_of2(C,A,B)
| relation_of2_as_subset(C,A,B) )
& ! [A,B,C] :
( relation_of2(C,A,B)
| ~ relation_of2_as_subset(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f85,plain,
? [A,B,C] :
( ( ! [D] :
( ? [E] : in(ordered_pair(E,D),C)
| ~ in(D,B) )
<~> relation_rng_as_subset(A,B,C) = B )
& relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f86,plain,
? [A,B,C] :
( ( relation_rng_as_subset(A,B,C) != B
| ? [D] :
( ! [E] : ~ in(ordered_pair(E,D),C)
& in(D,B) ) )
& ( relation_rng_as_subset(A,B,C) = B
| ! [D] :
( ? [E] : in(ordered_pair(E,D),C)
| ~ in(D,B) ) )
& relation_of2_as_subset(C,A,B) ),
inference(NNF_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
( ( relation_rng_as_subset(sK8_skl,sK9_skl,sK10_skl) != sK9_skl
| ( ! [E] : ~ in(ordered_pair(E,sK12_skl),sK10_skl)
& in(sK12_skl,sK9_skl) ) )
& ( relation_rng_as_subset(sK8_skl,sK9_skl,sK10_skl) = sK9_skl
| ! [D] :
( in(ordered_pair(sK11_skl(D),D),sK10_skl)
| ~ in(D,sK9_skl) ) )
& relation_of2_as_subset(sK10_skl,sK8_skl,sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl),skolemize(C,sK10_skl),skolemize(E,sK11_skl(D)),skolemize(D,sK12_skl)],[f86]) ).
fof(f88,plain,
relation_of2_as_subset(sK10_skl,sK8_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0] :
( relation_rng_as_subset(sK8_skl,sK9_skl,sK10_skl) = sK9_skl
| in(ordered_pair(sK11_skl(X0),X0),sK10_skl)
| ~ in(X0,sK9_skl) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f90,plain,
( relation_rng_as_subset(sK8_skl,sK9_skl,sK10_skl) != sK9_skl
| in(sK12_skl,sK9_skl) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
! [X0] :
( relation_rng_as_subset(sK8_skl,sK9_skl,sK10_skl) != sK9_skl
| ~ in(ordered_pair(X0,sK12_skl),sK10_skl) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f92,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f93,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [A,B] :
( A = B
| ? [C] :
( in(C,A)
<~> in(C,B) ) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f95,plain,
! [A,B] :
( A = B
| ? [C] :
( ( ~ in(C,B)
| ~ in(C,A) )
& ( in(C,B)
| in(C,A) ) ) ),
inference(NNF_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [A,B] :
( A = B
| ( ( ~ in(sK13_skl(B,A),B)
| ~ in(sK13_skl(B,A),A) )
& ( in(sK13_skl(B,A),B)
| in(sK13_skl(B,A),A) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(C,sK13_skl(B,A))],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( X1 = X0
| in(sK13_skl(X0,X1),X0)
| in(sK13_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( X1 = X0
| ~ in(sK13_skl(X0,X1),X0)
| ~ in(sK13_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f103,plain,
! [A,B,C] :
( element(A,C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f104,plain,
! [A,C] :
( element(A,C)
| ! [B] :
( ~ element(B,powerset(C))
| ~ in(A,B) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [A,B,C] :
( ~ empty(C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f107,plain,
! [C] :
( ~ empty(C)
| ! [B] :
( ~ element(B,powerset(C))
| ! [A] : ~ in(A,B) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f117,plain,
! [X0,X1] :
( in(ordered_pair(sK0_skl(X1,relation_rng(X0),X0),X1),X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f50]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f51]) ).
fof(f122,plain,
relation_of2(sK10_skl,sK8_skl,sK9_skl),
inference(resolution,[status(thm)],[f75,f88]) ).
fof(f124,plain,
relation_rng_as_subset(sK8_skl,sK9_skl,sK10_skl) = relation_rng(sK10_skl),
inference(resolution,[status(thm)],[f72,f122]) ).
fof(f126,plain,
! [X0] :
( relation_rng(sK10_skl) = sK9_skl
| in(ordered_pair(sK11_skl(X0),X0),sK10_skl)
| ~ in(X0,sK9_skl) ),
inference(backward_demodulation,[status(thm)],[f124,f89]) ).
fof(f127,plain,
! [X0] :
( relation_rng(sK10_skl) != sK9_skl
| ~ in(ordered_pair(X0,sK12_skl),sK10_skl) ),
inference(backward_demodulation,[status(thm)],[f124,f91]) ).
fof(f128,plain,
( relation_rng(sK10_skl) != sK9_skl
| in(sK12_skl,sK9_skl) ),
inference(backward_demodulation,[status(thm)],[f124,f90]) ).
fof(f131,plain,
( element(relation_rng(sK10_skl),powerset(sK9_skl))
| ~ relation_of2(sK10_skl,sK8_skl,sK9_skl) ),
inference(paramodulation,[status(thm)],[f124,f56]) ).
fof(f132,plain,
element(relation_rng(sK10_skl),powerset(sK9_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f131,f122]) ).
fof(f283,plain,
! [X0,X1,X2] :
( relation(X0)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(resolution,[status(thm)],[f58,f44]) ).
fof(f312,plain,
! [X0] :
( relation_rng(sK10_skl) = sK9_skl
| in(ordered_pair(sK11_skl(sK13_skl(sK9_skl,X0)),sK13_skl(sK9_skl,X0)),sK10_skl)
| X0 = sK9_skl
| in(sK13_skl(sK9_skl,X0),X0) ),
inference(resolution,[status(thm)],[f97,f126]) ).
fof(f337,plain,
! [X0] :
( in(sK13_skl(sK9_skl,X0),relation_rng(sK10_skl))
| ~ relation(sK10_skl)
| relation_rng(sK10_skl) = sK9_skl
| X0 = sK9_skl
| in(sK13_skl(sK9_skl,X0),X0) ),
inference(resolution,[status(thm)],[f312,f118]) ).
fof(f353,plain,
relation(sK10_skl),
inference(resolution,[status(thm)],[f283,f88]) ).
fof(f357,plain,
! [X0] :
( in(sK13_skl(sK9_skl,X0),relation_rng(sK10_skl))
| relation_rng(sK10_skl) = sK9_skl
| X0 = sK9_skl
| in(sK13_skl(sK9_skl,X0),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f337,f353]) ).
fof(f412,plain,
! [X0,X1,X2] :
( in(X0,X2)
| empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[f105,f93]) ).
fof(f413,plain,
! [X0,X1,X2] :
( in(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f108]) ).
fof(f427,plain,
! [X0] :
( in(X0,sK9_skl)
| ~ in(X0,relation_rng(sK10_skl)) ),
inference(resolution,[status(thm)],[f413,f132]) ).
fof(f743,plain,
( relation_rng(sK10_skl) = sK9_skl
| ~ in(sK13_skl(sK9_skl,relation_rng(sK10_skl)),sK9_skl)
| relation_rng(sK10_skl) = sK9_skl
| relation_rng(sK10_skl) = sK9_skl ),
inference(resolution,[status(thm)],[f357,f98]) ).
fof(f754,plain,
( in(sK13_skl(sK9_skl,relation_rng(sK10_skl)),sK9_skl)
| relation_rng(sK10_skl) = sK9_skl
| relation_rng(sK10_skl) = sK9_skl ),
inference(resolution,[status(thm)],[f357,f427]) ).
fof(f769,plain,
( ~ in(sK13_skl(sK9_skl,relation_rng(sK10_skl)),sK9_skl)
| relation_rng(sK10_skl) = sK9_skl ),
inference(duplicate_literals_removal,[status(thm)],[f743]) ).
fof(f771,plain,
( in(sK13_skl(sK9_skl,relation_rng(sK10_skl)),sK9_skl)
| relation_rng(sK10_skl) = sK9_skl ),
inference(duplicate_literals_removal,[status(thm)],[f754]) ).
fof(f813,plain,
! [X0] :
( sK9_skl != sK9_skl
| ~ in(ordered_pair(X0,sK12_skl),sK10_skl) ),
inference(backward_demodulation,[status(thm)],[f857,f127]) ).
fof(f816,plain,
( sK9_skl != sK9_skl
| in(sK12_skl,sK9_skl) ),
inference(backward_demodulation,[status(thm)],[f857,f128]) ).
fof(f857,plain,
relation_rng(sK10_skl) = sK9_skl,
inference(forward_subsumption_resolution,[status(thm)],[f771,f769]) ).
fof(f870,plain,
! [X0] : ~ in(ordered_pair(X0,sK12_skl),sK10_skl),
inference(trivial_equality_resolution,[status(thm)],[f813]) ).
fof(f872,plain,
in(sK12_skl,sK9_skl),
inference(trivial_equality_resolution,[status(thm)],[f816]) ).
fof(f888,plain,
! [X0] :
( in(ordered_pair(sK0_skl(X0,relation_rng(sK10_skl),sK10_skl),X0),sK10_skl)
| ~ in(X0,sK9_skl)
| ~ relation(sK10_skl) ),
inference(paramodulation,[status(thm)],[f857,f117]) ).
fof(f889,plain,
! [X0] :
( in(ordered_pair(sK0_skl(X0,sK9_skl,sK10_skl),X0),sK10_skl)
| ~ in(X0,sK9_skl)
| ~ relation(sK10_skl) ),
inference(forward_demodulation,[status(thm)],[f857,f888]) ).
fof(f890,plain,
! [X0] :
( in(ordered_pair(sK0_skl(X0,sK9_skl,sK10_skl),X0),sK10_skl)
| ~ in(X0,sK9_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f889,f353]) ).
fof(f1428,plain,
~ in(sK12_skl,sK9_skl),
inference(resolution,[status(thm)],[f890,f870]) ).
fof(f1434,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1428,f872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU266+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n005.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 06:04:47 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.62 % Refutation found
% 0.18/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.66 % Elapsed time: 0.208950 seconds
% 0.18/0.66 % CPU time: 1.221653 seconds
% 0.18/0.66 % Total memory used: 121.340 MB
% 0.18/0.66 % Net memory used: 119.684 MB
%------------------------------------------------------------------------------