TSTP Solution File: SCT027-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n020.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 Aug 22 10:55:08 EDT 2023
% Result : Unsatisfiable 7.70s 2.83s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 96
% Syntax : Number of formulae : 101 ( 6 unt; 93 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 248 ( 85 >; 163 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 2 prp; 0-9 aty)
% Number of functors : 66 ( 66 usr; 7 con; 0-5 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Nitpick_Ofold__graph_H > c_Finite__Set_Ofold__graph > c_Typedef_Otype__definition > c_Fun_Oinj__on > c_lessequals > c_HOL_Oord__class_Oless > c_Equiv__Relations_Oequiv > hBOOL > class_Ring__and__Field_Oordered__idom > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_Lattices_Oboolean__algebra > class_HOL_Oord > class_Complete__Lattice_Ocomplete__lattice > c_SetInterval_Oord_OgreaterThanAtMost > c_SetInterval_Oord_OatLeastLessThan > c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 > c_FuncSet_Osko__FuncSet__XextensionalityI__1__1 > c_FuncSet_Osko__FuncSet__XPi__I__1__1 > c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 > c_Fun_Ooverride__on > c_Fun_Ofun__upd > c_COMBB > c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 > c_Set_Ovimage > c_Set_Oimage > c_SetInterval_Oord_OgreaterThanLessThan > c_SetInterval_Oord_OatLeastAtMost > c_Relation_OImage > c_Pair > c_List_Osko__Equiv__Relations__XquotientE__1__1 > c_FuncSet_OPi > c_Finite__Set_Osetsum > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_COMBC > c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 > c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 > c_Set_Oinsert > c_SetInterval_Oord_OlessThan > c_SetInterval_Oord_OgreaterThan > c_SetInterval_Oord_OatMost > c_Relation_Oconverse > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Ominus__class_Ominus > c_FuncSet_Oextensional > c_Equiv__Relations_Oquotient > c_COMBK > c_Arrow__Order__Mirabelle_Obelow > c_Arrow__Order__Mirabelle_Oabove > c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 > c_ATP__Linkup_Osko__Set__XbexI__1__1 > c_ATP__Linkup_Osko__Set__XbexE__1__1 > c_ATP__Linkup_Osko__Set__XbexCI__1__1 > c_ATP__Linkup_Osko__Set__XballE__1__1 > c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 > c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1 > c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 > c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 > tc_prod > tc_fun > hAPP > c_Set_OPow > c_Complete__Lattice_OSup__class_OSup > c_Complete__Lattice_OInf__class_OInf > c_Collect > c_Arrow__Order__Mirabelle_Omktop > c_Arrow__Order__Mirabelle_Omkbot > #nlpp > c_in > c_fequal > c_Orderings_Obot__class_Obot > c_HOL_Oundefined > c_HOL_Ouminus__class_Ouminus > v_thesis____ > v_sko__CHAINED__1 > v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 > tc_nat > tc_bool > tc_Arrow__Order__Mirabelle_Oalt > c_Not > c_Arrow__Order__Mirabelle_OLin
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OatLeastLessThan,type,
c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OgreaterThanLessThan,type,
c_SetInterval_Oord_OgreaterThanLessThan: ( $i * $i * $i * $i ) > $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3: ( $i * $i * $i ) > $i ).
tff(c_Relation_Oconverse,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__XbexCI__1__1,type,
c_ATP__Linkup_Osko__Set__XbexCI__1__1: ( $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Set_OPow,type,
c_Set_OPow: ( $i * $i ) > $i ).
tff(c_SetInterval_Oord_OgreaterThanAtMost,type,
c_SetInterval_Oord_OgreaterThanAtMost: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OlessThan,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(c_List_Osko__Equiv__Relations__XquotientE__1__1,type,
c_List_Osko__Equiv__Relations__XquotientE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__3: ( $i * $i * $i * $i ) > $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_Arrow__Order__Mirabelle_Oabove,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(c_Fun_Ooverride__on,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_thesis____,type,
v_thesis____: $o ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1,type,
c_FuncSet_Osko__FuncSet__XfuncsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(c_Complete__Lattice_OInf__class_OInf,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(c_Not,type,
c_Not: $i ).
tff(c_Set_Ovimage,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1,type,
c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1: ( $i * $i * $i ) > $i ).
tff(c_HOL_Oundefined,type,
c_HOL_Oundefined: $i > $i ).
tff(c_Collect,type,
c_Collect: ( $i * $i ) > $i ).
tff(c_Equiv__Relations_Oquotient,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(c_Finite__Set_Ofold__graph,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(v_sko__CHAINED__1,type,
v_sko__CHAINED__1: $i ).
tff(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,type,
v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1: $i ).
tff(c_SetInterval_Oord_OatMost,type,
c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_SetInterval_Oord_OgreaterThan,type,
c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $i ).
tff(c_Fun_Ofun__upd,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_FuncSet_Osko__FuncSet__XPi__I__1__1,type,
c_FuncSet_Osko__FuncSet__XPi__I__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1,type,
c_FuncSet_Osko__FuncSet__XPi__I_H__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Omktop,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Relation_OImage,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_Ocomplete__lattice,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_Arrow__Order__Mirabelle_OLin,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(c_SetInterval_Oord_OatLeastAtMost,type,
c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_OSup__class_OSup,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(c_in,type,
c_in: $i > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Omkbot,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(c_Typedef_Otype__definition,type,
c_Typedef_Otype__definition: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_FuncSet_Oextensional,type,
c_FuncSet_Oextensional: ( $i * $i * $i ) > $i ).
tff(c_Equiv__Relations_Oequiv,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(c_Nitpick_Ofold__graph_H,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_FuncSet_Osko__FuncSet__XextensionalityI__1__1,type,
c_FuncSet_Osko__FuncSet__XextensionalityI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__XbexI__1__1,type,
c_ATP__Linkup_Osko__Set__XbexI__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1: ( $i * $i * $i * $i ) > $i ).
tff(tc_Arrow__Order__Mirabelle_Oalt,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(c_Finite__Set_Osetsum,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__XbexE__1__1,type,
c_ATP__Linkup_Osko__Set__XbexE__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1: ( $i * $i * $i ) > $i ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(c_FuncSet_OPi,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__XballE__1__1,type,
c_ATP__Linkup_Osko__Set__XballE__1__1: ( $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Obelow,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(f_4216,axiom,
~ v_thesis____,
file(unknown,unknown) ).
tff(f_4221,axiom,
! [V_x] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_x),c_Arrow__Order__Mirabelle_OLin)) ),
file(unknown,unknown) ).
tff(f_4214,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__CHAINED__1),c_Arrow__Order__Mirabelle_OLin)),
file(unknown,unknown) ).
tff(c_1334,plain,
~ v_thesis____,
inference(cnfTransformation,[status(thm)],[f_4216]) ).
tff(c_1336,plain,
! [V_x_2642] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_x_2642),c_Arrow__Order__Mirabelle_OLin))
| v_thesis____ ),
inference(cnfTransformation,[status(thm)],[f_4221]) ).
tff(c_1403,plain,
! [V_x_2642] : ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_x_2642),c_Arrow__Order__Mirabelle_OLin)),
inference(negUnitSimplification,[status(thm)],[c_1334,c_1336]) ).
tff(c_1332,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__CHAINED__1),c_Arrow__Order__Mirabelle_OLin)),
inference(cnfTransformation,[status(thm)],[f_4214]) ).
tff(c_1404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1403,c_1332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 13:21:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 7.70/2.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.70/2.83
% 7.70/2.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.70/2.86
% 7.70/2.86 Inference rules
% 7.70/2.86 ----------------------
% 7.70/2.86 #Ref : 0
% 7.70/2.86 #Sup : 0
% 7.70/2.86 #Fact : 0
% 7.70/2.86 #Define : 0
% 7.70/2.86 #Split : 0
% 7.70/2.86 #Chain : 0
% 7.70/2.86 #Close : 0
% 7.70/2.86
% 7.70/2.86 Ordering : KBO
% 7.70/2.86
% 7.70/2.86 Simplification rules
% 7.70/2.86 ----------------------
% 7.70/2.86 #Subsume : 700
% 7.70/2.86 #Demod : 0
% 7.70/2.86 #Tautology : 0
% 7.70/2.86 #SimpNegUnit : 2
% 7.70/2.86 #BackRed : 0
% 7.70/2.86
% 7.70/2.86 #Partial instantiations: 0
% 7.70/2.86 #Strategies tried : 1
% 7.70/2.86
% 7.70/2.86 Timing (in seconds)
% 7.70/2.86 ----------------------
% 7.70/2.86 Preprocessing : 1.64
% 7.70/2.86 Parsing : 0.94
% 7.70/2.86 CNF conversion : 0.13
% 7.70/2.86 Main loop : 0.14
% 7.70/2.86 Inferencing : 0.00
% 7.70/2.86 Reduction : 0.06
% 7.70/2.86 Demodulation : 0.04
% 7.70/2.86 BG Simplification : 0.13
% 7.70/2.86 Subsumption : 0.05
% 7.70/2.86 Abstraction : 0.03
% 7.70/2.86 MUC search : 0.00
% 7.70/2.86 Cooper : 0.00
% 7.70/2.86 Total : 1.83
% 7.70/2.86 Index Insertion : 0.00
% 7.70/2.86 Index Deletion : 0.00
% 7.70/2.86 Index Matching : 0.00
% 7.70/2.86 BG Taut test : 0.00
%------------------------------------------------------------------------------