TSTP Solution File: SWC340+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC340+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : 300s
% DateTime : Tue Apr 30 20:45:25 EDT 2024
% Result : Theorem 18.22s 2.67s
% Output : CNFRefutation 18.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 84 ( 12 unt; 0 def)
% Number of atoms : 340 ( 31 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 404 ( 148 ~; 163 |; 50 &)
% ( 19 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 82 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [U] :
( ssList(U)
=> ( totalorderedP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U
=> leq(V,W) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [U] :
( ssList(U)
=> ( strictorderedP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U
=> lt(V,W) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
<=> ( U != V
& leq(U,V) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ segmentP(X,W)
| ~ strictorderedP(W)
| ( segmentP(V,U)
& totalorderedP(U) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ segmentP(X,W)
| ~ strictorderedP(W)
| ( segmentP(V,U)
& totalorderedP(U) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f174,plain,
! [U] :
( ~ ssList(U)
| ( totalorderedP(U)
<=> ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| leq(V,W) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f175,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ totalorderedP(U)
| ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| leq(V,W) ) ) ) ) ) )
& ( totalorderedP(U)
| ? [V] :
( ssItem(V)
& ? [W] :
( ssItem(W)
& ? [X] :
( ssList(X)
& ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& app(app(X,cons(V,Y)),cons(W,Z)) = U
& ~ leq(V,W) ) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ totalorderedP(U)
| ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| leq(V,W) ) ) ) ) ) )
& ( totalorderedP(U)
| ( ssItem(sk0_24(U))
& ssItem(sk0_25(U))
& ssList(sk0_26(U))
& ssList(sk0_27(U))
& ssList(sk0_28(U))
& app(app(sk0_26(U),cons(sk0_24(U),sk0_27(U))),cons(sk0_25(U),sk0_28(U))) = U
& ~ leq(sk0_24(U),sk0_25(U)) ) ) ) ),
inference(skolemization,[status(esa)],[f175]) ).
fof(f178,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssItem(sk0_24(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f179,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssItem(sk0_25(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f180,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssList(sk0_26(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f181,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssList(sk0_27(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f182,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssList(sk0_28(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f183,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(sk0_26(X0),cons(sk0_24(X0),sk0_27(X0))),cons(sk0_25(X0),sk0_28(X0))) = X0 ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f184,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(sk0_24(X0),sk0_25(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f185,plain,
! [U] :
( ~ ssList(U)
| ( strictorderedP(U)
<=> ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| lt(V,W) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f186,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ strictorderedP(U)
| ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| lt(V,W) ) ) ) ) ) )
& ( strictorderedP(U)
| ? [V] :
( ssItem(V)
& ? [W] :
( ssItem(W)
& ? [X] :
( ssList(X)
& ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& app(app(X,cons(V,Y)),cons(W,Z)) = U
& ~ lt(V,W) ) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f185]) ).
fof(f187,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ strictorderedP(U)
| ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| lt(V,W) ) ) ) ) ) )
& ( strictorderedP(U)
| ( ssItem(sk0_29(U))
& ssItem(sk0_30(U))
& ssList(sk0_31(U))
& ssList(sk0_32(U))
& ssList(sk0_33(U))
& app(app(sk0_31(U),cons(sk0_29(U),sk0_32(U))),cons(sk0_30(U),sk0_33(U))) = U
& ~ lt(sk0_29(U),sk0_30(U)) ) ) ) ),
inference(skolemization,[status(esa)],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssList(X0)
| ~ strictorderedP(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f406,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ( lt(U,V)
<=> ( U != V
& leq(U,V) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f93]) ).
fof(f407,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ( ( ~ lt(U,V)
| ( U != V
& leq(U,V) ) )
& ( lt(U,V)
| U = V
| ~ leq(U,V) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f406]) ).
fof(f409,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f407]) ).
fof(f415,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& segmentP(X,W)
& strictorderedP(W)
& ( ~ segmentP(V,U)
| ~ totalorderedP(U) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f416,plain,
( ssList(sk0_47)
& ssList(sk0_48)
& ssList(sk0_49)
& ssList(sk0_50)
& sk0_48 = sk0_50
& sk0_47 = sk0_49
& segmentP(sk0_50,sk0_49)
& strictorderedP(sk0_49)
& ( ~ segmentP(sk0_48,sk0_47)
| ~ totalorderedP(sk0_47) ) ),
inference(skolemization,[status(esa)],[f415]) ).
fof(f417,plain,
ssList(sk0_47),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f421,plain,
sk0_48 = sk0_50,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f422,plain,
sk0_47 = sk0_49,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f423,plain,
segmentP(sk0_50,sk0_49),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f424,plain,
strictorderedP(sk0_49),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f425,plain,
( ~ segmentP(sk0_48,sk0_47)
| ~ totalorderedP(sk0_47) ),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f426,plain,
( spl0_0
<=> segmentP(sk0_48,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f428,plain,
( ~ segmentP(sk0_48,sk0_47)
| spl0_0 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_1
<=> totalorderedP(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f431,plain,
( ~ totalorderedP(sk0_47)
| spl0_1 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f425,f426,f429]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(destructive_equality_resolution,[status(esa)],[f188]) ).
fof(f465,plain,
strictorderedP(sk0_47),
inference(forward_demodulation,[status(thm)],[f422,f424]) ).
fof(f466,plain,
segmentP(sk0_48,sk0_49),
inference(forward_demodulation,[status(thm)],[f421,f423]) ).
fof(f467,plain,
segmentP(sk0_48,sk0_47),
inference(forward_demodulation,[status(thm)],[f422,f466]) ).
fof(f468,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f467]) ).
fof(f469,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f498,plain,
( spl0_7
<=> ssList(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( ~ ssList(sk0_47)
| spl0_7 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f512,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f417]) ).
fof(f513,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f868,plain,
( spl0_62
<=> ssList(sk0_26(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( totalorderedP(sk0_47)
| ssList(sk0_26(sk0_47)) ),
inference(resolution,[status(thm)],[f180,f417]) ).
fof(f872,plain,
( spl0_1
| spl0_62 ),
inference(split_clause,[status(thm)],[f871,f429,f868]) ).
fof(f1002,plain,
( spl0_81
<=> ssList(sk0_27(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f1005,plain,
( totalorderedP(sk0_47)
| ssList(sk0_27(sk0_47)) ),
inference(resolution,[status(thm)],[f181,f417]) ).
fof(f1006,plain,
( spl0_1
| spl0_81 ),
inference(split_clause,[status(thm)],[f1005,f429,f1002]) ).
fof(f1135,plain,
( spl0_99
<=> ssList(sk0_28(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f1138,plain,
( ~ ssList(sk0_47)
| ssList(sk0_28(sk0_47))
| spl0_1 ),
inference(resolution,[status(thm)],[f182,f431]) ).
fof(f1139,plain,
( ~ spl0_7
| spl0_99
| spl0_1 ),
inference(split_clause,[status(thm)],[f1138,f498,f1135,f429]) ).
fof(f7161,plain,
( spl0_750
<=> ssItem(sk0_24(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f7164,plain,
( ~ ssList(sk0_47)
| ssItem(sk0_24(sk0_47))
| spl0_1 ),
inference(resolution,[status(thm)],[f178,f431]) ).
fof(f7165,plain,
( ~ spl0_7
| spl0_750
| spl0_1 ),
inference(split_clause,[status(thm)],[f7164,f498,f7161,f429]) ).
fof(f7170,plain,
( spl0_751
<=> ssItem(sk0_25(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f7173,plain,
( ~ ssList(sk0_47)
| ssItem(sk0_25(sk0_47))
| spl0_1 ),
inference(resolution,[status(thm)],[f179,f431]) ).
fof(f7174,plain,
( ~ spl0_7
| spl0_751
| spl0_1 ),
inference(split_clause,[status(thm)],[f7173,f498,f7170,f429]) ).
fof(f7179,plain,
( spl0_752
<=> app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))) = sk0_47 ),
introduced(split_symbol_definition) ).
fof(f7180,plain,
( app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))) = sk0_47
| ~ spl0_752 ),
inference(component_clause,[status(thm)],[f7179]) ).
fof(f7182,plain,
( ~ ssList(sk0_47)
| app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))) = sk0_47
| spl0_1 ),
inference(resolution,[status(thm)],[f183,f431]) ).
fof(f7183,plain,
( ~ spl0_7
| spl0_752
| spl0_1 ),
inference(split_clause,[status(thm)],[f7182,f498,f7179,f429]) ).
fof(f7468,plain,
( spl0_785
<=> ssList(app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47)))) ),
introduced(split_symbol_definition) ).
fof(f7470,plain,
( ~ ssList(app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))))
| spl0_785 ),
inference(component_clause,[status(thm)],[f7468]) ).
fof(f7474,plain,
( spl0_787
<=> lt(sk0_24(sk0_47),sk0_25(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f7475,plain,
( lt(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_787 ),
inference(component_clause,[status(thm)],[f7474]) ).
fof(f7485,plain,
( spl0_790
<=> leq(sk0_24(sk0_47),sk0_25(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f7486,plain,
( leq(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_790 ),
inference(component_clause,[status(thm)],[f7485]) ).
fof(f7518,plain,
( spl0_797
<=> strictorderedP(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f7520,plain,
( ~ strictorderedP(sk0_47)
| spl0_797 ),
inference(component_clause,[status(thm)],[f7518]) ).
fof(f7521,plain,
( ~ ssList(app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))))
| ~ strictorderedP(sk0_47)
| ~ ssItem(sk0_24(sk0_47))
| ~ ssItem(sk0_25(sk0_47))
| ~ ssList(sk0_26(sk0_47))
| ~ ssList(sk0_27(sk0_47))
| ~ ssList(sk0_28(sk0_47))
| lt(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_752 ),
inference(paramodulation,[status(thm)],[f7180,f444]) ).
fof(f7522,plain,
( ~ spl0_785
| ~ spl0_797
| ~ spl0_750
| ~ spl0_751
| ~ spl0_62
| ~ spl0_81
| ~ spl0_99
| spl0_787
| ~ spl0_752 ),
inference(split_clause,[status(thm)],[f7521,f7468,f7518,f7161,f7170,f868,f1002,f1135,f7474,f7179]) ).
fof(f7619,plain,
( $false
| spl0_797 ),
inference(forward_subsumption_resolution,[status(thm)],[f7520,f465]) ).
fof(f7620,plain,
spl0_797,
inference(contradiction_clause,[status(thm)],[f7619]) ).
fof(f7661,plain,
( ~ ssList(sk0_47)
| ~ spl0_752
| spl0_785 ),
inference(forward_demodulation,[status(thm)],[f7180,f7470]) ).
fof(f7662,plain,
( $false
| ~ spl0_752
| spl0_785 ),
inference(forward_subsumption_resolution,[status(thm)],[f7661,f417]) ).
fof(f7663,plain,
( ~ spl0_752
| spl0_785 ),
inference(contradiction_clause,[status(thm)],[f7662]) ).
fof(f9978,plain,
( ~ ssItem(sk0_24(sk0_47))
| ~ ssItem(sk0_25(sk0_47))
| leq(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_787 ),
inference(resolution,[status(thm)],[f7475,f409]) ).
fof(f9979,plain,
( ~ spl0_750
| ~ spl0_751
| spl0_790
| ~ spl0_787 ),
inference(split_clause,[status(thm)],[f9978,f7161,f7170,f7485,f7474]) ).
fof(f9987,plain,
( ~ ssList(sk0_47)
| totalorderedP(sk0_47)
| ~ spl0_790 ),
inference(resolution,[status(thm)],[f7486,f184]) ).
fof(f9988,plain,
( ~ spl0_7
| spl0_1
| ~ spl0_790 ),
inference(split_clause,[status(thm)],[f9987,f498,f429,f7485]) ).
fof(f10001,plain,
$false,
inference(sat_refutation,[status(thm)],[f432,f469,f513,f872,f1006,f1139,f7165,f7174,f7183,f7522,f7620,f7663,f9979,f9988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC340+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:03:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.37 % Drodi V3.6.0
% 18.22/2.67 % Refutation found
% 18.22/2.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.22/2.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.33/2.71 % Elapsed time: 2.336932 seconds
% 18.33/2.71 % CPU time: 18.433524 seconds
% 18.33/2.71 % Total memory used: 151.661 MB
% 18.33/2.71 % Net memory used: 148.335 MB
%------------------------------------------------------------------------------