%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN011-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:45:24 PM UTC 2026
% Result : Unsatisfiable 34.17s 4.74s
% Output : CNFRefutation 34.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 96 ( 41 unt; 0 def)
% Number of atoms : 214 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 239 ( 121 ~; 118 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 187 ( 187 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Z] :
( less_equal(Z,X)
| ~ quotient(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,V1,Z,V2,V3,V4,V5] :
( less_equal(V4,V5)
| ~ quotient(V1,Z,V5)
| ~ quotient(V3,V2,V4)
| ~ quotient(X,Z,V3)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( X = Y
| ~ less_equal(Y,X)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( less_equal(X,Z)
| ~ less_equal(Y,Z)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,Z,W1,W2] :
( less_equal(W1,W2)
| ~ quotient(Z,X,W2)
| ~ quotient(Z,Y,W1)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,Z,W1,W2] :
( less_equal(W1,W2)
| ~ quotient(Y,Z,W2)
| ~ quotient(X,Z,W1)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y1,Y2,Y3] :
( Y1 = Y3
| ~ quotient(identity,Y2,Y3)
| ~ quotient(identity,Y1,Y2)
| ~ quotient(identity,X,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y1,Y2,Y3] :
( Y1 = Y3
| ~ quotient(Y1,Y2,Y3)
| ~ quotient(identity,Y1,Y2)
| ~ quotient(identity,X,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
quotient(identity,b,idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X,Z] :
( less_equal(Z,X)
| ! [Y] : ~ quotient(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f30,plain,
! [X0,X1,X2] :
( less_equal(X2,X0)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [V4,V5] :
( less_equal(V4,V5)
| ! [V1,Z] :
( ~ quotient(V1,Z,V5)
| ! [V2,V3] :
( ~ quotient(V3,V2,V4)
| ! [X] :
( ~ quotient(X,Z,V3)
| ! [Y] :
( ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( less_equal(X6,X7)
| ~ quotient(X2,X3,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
! [X0] : less_equal(X0,identity),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f36,plain,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
! [X,Z] :
( less_equal(X,Z)
| ! [Y] :
( ~ less_equal(Y,Z)
| ~ less_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f44,plain,
! [X0,X1,X2] :
( less_equal(X0,X2)
| ~ less_equal(X1,X2)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f47,plain,
! [W1,W2] :
( less_equal(W1,W2)
| ! [X,Z] :
( ~ quotient(Z,X,W2)
| ! [Y] :
( ~ quotient(Z,Y,W1)
| ~ less_equal(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(X2,X0,X4)
| ~ quotient(X2,X1,X3)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [W1,W2] :
( less_equal(W1,W2)
| ! [Y,Z] :
( ~ quotient(Y,Z,W2)
| ! [X] :
( ~ quotient(X,Z,W1)
| ~ less_equal(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X2,X3)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [Y1,Y3] :
( Y1 = Y3
| ! [Y2] :
( ~ quotient(identity,Y2,Y3)
| ~ quotient(identity,Y1,Y2)
| ! [X] : ~ quotient(identity,X,Y1) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| ~ quotient(identity,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [Y1,Y3] :
( Y1 = Y3
| ! [Y2] :
( ~ quotient(Y1,Y2,Y3)
| ~ quotient(identity,Y1,Y2)
| ! [X] : ~ quotient(identity,X,Y1) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ quotient(X1,X2,X3)
| ~ quotient(identity,X1,X2)
| ~ quotient(identity,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
quotient(identity,a,idQa),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f56,plain,
quotient(identity,b,idQb),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f57,plain,
quotient(identity,idQb,idQ_idQb),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f58,plain,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f59,plain,
quotient(identity,idQa,idQ_idQa),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f60,plain,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f61,plain,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(idQb_Q__idQ_idQa,X0,X4)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQb,X0,X2)
| ~ quotient(idQ_idQa,X0,X1) ),
inference(resolution,[status(thm)],[f32,f60]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(idQa_Q__idQ_idQb,X0,X4)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQa,X0,X2)
| ~ quotient(idQ_idQb,X0,X1) ),
inference(resolution,[status(thm)],[f32,f58]) ).
fof(f81,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[status(thm)],[f36,f30]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( less_equal(X2,X3)
| ~ quotient(idQb_Q__idQ_idQa,X0,X3)
| ~ quotient(X1,divide(idQ_idQa,X0),X2)
| ~ quotient(idQb,X0,X1) ),
inference(resolution,[status(thm)],[f72,f36]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( less_equal(X2,X3)
| ~ quotient(idQa_Q__idQ_idQb,X0,X3)
| ~ quotient(X1,divide(idQ_idQb,X0),X2)
| ~ quotient(idQa,X0,X1) ),
inference(resolution,[status(thm)],[f73,f36]) ).
fof(f117,plain,
! [X0,X1] :
( divide(X0,X1) = X0
| ~ less_equal(X0,divide(X0,X1)) ),
inference(resolution,[status(thm)],[f81,f34]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X2,X4)
| ~ quotient(X0,divide(X1,X3),X4)
| ~ quotient(X0,X1,X2) ),
inference(resolution,[status(thm)],[f48,f81]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( less_equal(X2,X3)
| ~ quotient(identity,X1,X3)
| ~ quotient(X0,X1,X2) ),
inference(resolution,[status(thm)],[f50,f35]) ).
fof(f178,plain,
! [X0,X1,X2] :
( less_equal(divide(X1,divide(idQ_idQa,X0)),X2)
| ~ quotient(idQb_Q__idQ_idQa,X0,X2)
| ~ quotient(idQb,X0,X1) ),
inference(resolution,[status(thm)],[f99,f36]) ).
fof(f183,plain,
! [X0,X1] :
( idQa = X1
| ~ quotient(idQa,X0,X1)
| ~ quotient(identity,idQa,X0) ),
inference(resolution,[status(thm)],[f55,f54]) ).
fof(f184,plain,
! [X0,X1] :
( idQa = X1
| ~ quotient(identity,X0,X1)
| ~ quotient(identity,idQa,X0) ),
inference(resolution,[status(thm)],[f55,f52]) ).
fof(f189,plain,
! [X0,X1] :
( idQb = X1
| ~ quotient(idQb,X0,X1)
| ~ quotient(identity,idQb,X0) ),
inference(resolution,[status(thm)],[f56,f54]) ).
fof(f190,plain,
! [X0,X1] :
( idQb = X1
| ~ quotient(identity,X0,X1)
| ~ quotient(identity,idQb,X0) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f254,plain,
! [X0,X1,X2] :
( less_equal(divide(X1,divide(idQ_idQb,X0)),X2)
| ~ quotient(idQa_Q__idQ_idQb,X0,X2)
| ~ quotient(idQa,X0,X1) ),
inference(resolution,[status(thm)],[f103,f36]) ).
fof(f480,plain,
! [X0] :
( less_equal(idQb_Q__idQ_idQa,X0)
| ~ quotient(identity,idQ_idQa,X0) ),
inference(resolution,[status(thm)],[f147,f60]) ).
fof(f481,plain,
! [X0] :
( less_equal(idQa_Q__idQ_idQb,X0)
| ~ quotient(identity,idQ_idQb,X0) ),
inference(resolution,[status(thm)],[f147,f58]) ).
fof(f615,plain,
! [X0] :
( idQa = divide(idQa,X0)
| ~ quotient(identity,idQa,X0) ),
inference(resolution,[status(thm)],[f183,f36]) ).
fof(f617,plain,
! [X0] :
( idQa = X0
| ~ quotient(identity,idQ_idQa,X0) ),
inference(resolution,[status(thm)],[f184,f59]) ).
fof(f623,plain,
less_equal(idQb_Q__idQ_idQa,divide(identity,idQ_idQa)),
inference(resolution,[status(thm)],[f480,f36]) ).
fof(f624,plain,
less_equal(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),
inference(resolution,[status(thm)],[f481,f36]) ).
fof(f626,plain,
! [X0,X1,X2] :
( less_equal(X1,X2)
| ~ quotient(divide(identity,idQ_idQa),X0,X2)
| ~ quotient(idQb_Q__idQ_idQa,X0,X1) ),
inference(resolution,[status(thm)],[f623,f50]) ).
fof(f632,plain,
! [X0,X1,X2] :
( less_equal(X1,X2)
| ~ quotient(divide(identity,idQ_idQb),X0,X2)
| ~ quotient(idQa_Q__idQ_idQb,X0,X1) ),
inference(resolution,[status(thm)],[f624,f50]) ).
fof(f693,plain,
! [X0] :
( idQb = divide(idQb,X0)
| ~ quotient(identity,idQb,X0) ),
inference(resolution,[status(thm)],[f189,f36]) ).
fof(f695,plain,
! [X0] :
( idQb = X0
| ~ quotient(identity,idQ_idQb,X0) ),
inference(resolution,[status(thm)],[f190,f57]) ).
fof(f748,plain,
! [X0,X1] :
( less_equal(divide(divide(idQb,X0),divide(idQ_idQa,X0)),X1)
| ~ quotient(idQb_Q__idQ_idQa,X0,X1) ),
inference(resolution,[status(thm)],[f178,f36]) ).
fof(f969,plain,
idQa = divide(identity,idQ_idQa),
inference(resolution,[status(thm)],[f617,f36]) ).
fof(f999,plain,
! [X0,X1] :
( less_equal(idQb_Q__idQ_idQa,X1)
| ~ quotient(idQb,divide(idQ_idQa,X0),X1) ),
inference(resolution,[status(thm)],[f137,f60]) ).
fof(f1000,plain,
! [X0,X1] :
( less_equal(idQa_Q__idQ_idQb,X1)
| ~ quotient(idQa,divide(idQ_idQb,X0),X1) ),
inference(resolution,[status(thm)],[f137,f58]) ).
fof(f1317,plain,
idQb = divide(identity,idQ_idQb),
inference(resolution,[status(thm)],[f695,f36]) ).
fof(f1402,plain,
! [X0] : less_equal(idQb_Q__idQ_idQa,divide(idQb,divide(idQ_idQa,X0))),
inference(resolution,[status(thm)],[f999,f36]) ).
fof(f1407,plain,
! [X0] : less_equal(idQa_Q__idQ_idQb,divide(idQa,divide(idQ_idQb,X0))),
inference(resolution,[status(thm)],[f1000,f36]) ).
fof(f1783,plain,
! [X0,X1,X2] :
( less_equal(X1,X2)
| ~ quotient(idQa,X0,X2)
| ~ quotient(idQb_Q__idQ_idQa,X0,X1) ),
inference(forward_demodulation,[status(thm)],[f969,f626]) ).
fof(f1788,plain,
! [X0,X1] :
( less_equal(divide(idQb_Q__idQ_idQa,X0),X1)
| ~ quotient(idQa,X0,X1) ),
inference(resolution,[status(thm)],[f1783,f36]) ).
fof(f1906,plain,
! [X0,X1,X2] :
( less_equal(X1,X2)
| ~ quotient(idQb,X0,X2)
| ~ quotient(idQa_Q__idQ_idQb,X0,X1) ),
inference(forward_demodulation,[status(thm)],[f1317,f632]) ).
fof(f1911,plain,
! [X0,X1] :
( less_equal(divide(idQa_Q__idQ_idQb,X0),X1)
| ~ quotient(idQb,X0,X1) ),
inference(resolution,[status(thm)],[f1906,f36]) ).
fof(f2352,plain,
idQa = divide(idQa,idQ_idQa),
inference(resolution,[status(thm)],[f615,f59]) ).
fof(f2381,plain,
! [X0] : less_equal(divide(divide(idQb,X0),divide(idQ_idQa,X0)),divide(idQb_Q__idQ_idQa,X0)),
inference(resolution,[status(thm)],[f748,f36]) ).
fof(f2405,plain,
quotient(idQa,idQ_idQa,idQa),
inference(paramodulation,[status(thm)],[f2352,f36]) ).
fof(f2516,plain,
! [X0] :
( less_equal(divide(idQa,divide(idQ_idQb,idQ_idQa)),X0)
| ~ quotient(idQa_Q__idQ_idQb,idQ_idQa,X0) ),
inference(resolution,[status(thm)],[f2405,f254]) ).
fof(f2580,plain,
idQb = divide(idQb,idQ_idQb),
inference(resolution,[status(thm)],[f693,f57]) ).
fof(f3203,plain,
! [X0,X1] :
( less_equal(idQb_Q__idQ_idQa,X1)
| ~ less_equal(divide(idQb,divide(idQ_idQa,X0)),X1) ),
inference(resolution,[status(thm)],[f1402,f44]) ).
fof(f3266,plain,
! [X0,X1] :
( less_equal(idQa_Q__idQ_idQb,X1)
| ~ less_equal(divide(idQa,divide(idQ_idQb,X0)),X1) ),
inference(resolution,[status(thm)],[f1407,f44]) ).
fof(f6282,plain,
less_equal(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb),
inference(resolution,[status(thm)],[f1788,f58]) ).
fof(f6302,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),
inference(resolution,[status(thm)],[f1911,f60]) ).
fof(f6622,plain,
less_equal(divide(idQb,divide(idQ_idQa,idQ_idQb)),divide(idQb_Q__idQ_idQa,idQ_idQb)),
inference(paramodulation,[status(thm)],[f2580,f2381]) ).
fof(f7173,plain,
less_equal(divide(idQa,divide(idQ_idQb,idQ_idQa)),divide(idQa_Q__idQ_idQb,idQ_idQa)),
inference(resolution,[status(thm)],[f2516,f36]) ).
fof(f59947,plain,
less_equal(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,idQ_idQb)),
inference(resolution,[status(thm)],[f6622,f3203]) ).
fof(f59969,plain,
divide(idQb_Q__idQ_idQa,idQ_idQb) = idQb_Q__idQ_idQa,
inference(resolution,[status(thm)],[f59947,f117]) ).
fof(f59987,plain,
less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),
inference(backward_demodulation,[status(thm)],[f59969,f6282]) ).
fof(f60273,plain,
( idQb_Q__idQ_idQa = idQa_Q__idQ_idQb
| ~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) ),
inference(resolution,[status(thm)],[f59987,f34]) ).
fof(f60275,plain,
~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),
inference(forward_subsumption_resolution,[status(thm)],[f60273,f61]) ).
fof(f61456,plain,
less_equal(idQa_Q__idQ_idQb,divide(idQa_Q__idQ_idQb,idQ_idQa)),
inference(resolution,[status(thm)],[f7173,f3266]) ).
fof(f63671,plain,
divide(idQa_Q__idQ_idQb,idQ_idQa) = idQa_Q__idQ_idQb,
inference(resolution,[status(thm)],[f61456,f117]) ).
fof(f63692,plain,
less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),
inference(backward_demodulation,[status(thm)],[f63671,f6302]) ).
fof(f63870,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f63692,f60275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n018.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 : Sun Sep 20 20:48:44 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 34.17/4.74 % Refutation found
% 34.17/4.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 34.17/4.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 34.17/4.78 % Elapsed time: 4.412234 seconds
% 34.17/4.78 % CPU time: 34.609237 seconds
% 34.17/4.78 % Total memory used: 195.876 MB
% 34.17/4.78 % Net memory used: 160.237 MB
%------------------------------------------------------------------------------