TSTP Solution File: RNG083+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n026.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 10:54:54 EDT 2023
% Result : Theorem 13.16s 4.29s
% Output : CNFRefutation 13.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 85 ( 30 unt; 7 typ; 0 def)
% Number of atoms : 163 ( 63 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 158 ( 73 ~; 66 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 53 (; 53 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aElement0 > sdtpldt0 > sdtasdt0 > #nlpp > smndt0 > xx > sz10 > sz00
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(f_30,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
tff(f_110,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__468) ).
tff(f_79,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(f_114,negated_conjecture,
~ ( ( sdtasdt0(xx,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,xx) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_67,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
tff(f_31,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_35,axiom,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
tff(f_109,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
& ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
tff(f_73,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
tff(f_87,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
tff(f_103,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
& ( sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
tff(c_4,plain,
aElement0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_42,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_329,plain,
! [W1_38,W0_39] :
( ( sdtasdt0(W1_38,W0_39) = sdtasdt0(W0_39,W1_38) )
| ~ aElement0(W1_38)
| ~ aElement0(W0_39) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_404,plain,
! [W0_41] :
( ( sdtasdt0(xx,W0_41) = sdtasdt0(W0_41,xx) )
| ~ aElement0(W0_41) ),
inference(resolution,[status(thm)],[c_42,c_329]) ).
tff(c_426,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(resolution,[status(thm)],[c_4,c_404]) ).
tff(c_44,plain,
( ( sdtasdt0(sz00,xx) != sz00 )
| ( sdtasdt0(xx,sz00) != sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_92,plain,
sdtasdt0(xx,sz00) != sz00,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_431,plain,
sdtasdt0(sz00,xx) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_426,c_92]) ).
tff(c_102,plain,
! [W0_27] :
( ( sdtpldt0(sz00,W0_27) = W0_27 )
| ~ aElement0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_116,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[c_4,c_102]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aElement0(sdtasdt0(W0_5,W1_6))
| ~ aElement0(W1_6)
| ~ aElement0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_435,plain,
( aElement0(sdtasdt0(sz00,xx))
| ~ aElement0(sz00)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_426,c_12]) ).
tff(c_439,plain,
aElement0(sdtasdt0(sz00,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_4,c_435]) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [W0_2] :
( aElement0(smndt0(W0_2))
| ~ aElement0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1713,plain,
! [W0_69] :
( ( sdtasdt0(smndt0(W0_69),xx) = sdtasdt0(xx,smndt0(W0_69)) )
| ~ aElement0(W0_69) ),
inference(resolution,[status(thm)],[c_8,c_404]) ).
tff(c_40,plain,
! [W0_23] :
( ( sdtasdt0(smndt0(sz10),W0_23) = smndt0(W0_23) )
| ~ aElement0(W0_23) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1735,plain,
( ( sdtasdt0(xx,smndt0(sz10)) = smndt0(xx) )
| ~ aElement0(xx)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_1713,c_40]) ).
tff(c_1761,plain,
sdtasdt0(xx,smndt0(sz10)) = smndt0(xx),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_42,c_1735]) ).
tff(c_1790,plain,
( aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_1761,c_12]) ).
tff(c_1810,plain,
( aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1790]) ).
tff(c_1917,plain,
~ aElement0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_1810]) ).
tff(c_1920,plain,
~ aElement0(sz10),
inference(resolution,[status(thm)],[c_8,c_1917]) ).
tff(c_1924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1920]) ).
tff(c_1925,plain,
aElement0(smndt0(xx)),
inference(splitRight,[status(thm)],[c_1810]) ).
tff(c_119,plain,
! [W0_28] :
( ( sdtpldt0(W0_28,sz00) = W0_28 )
| ~ aElement0(W0_28) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_348,plain,
! [W0_40] :
( ( sdtpldt0(smndt0(W0_40),sz00) = smndt0(W0_40) )
| ~ aElement0(W0_40) ),
inference(resolution,[status(thm)],[c_8,c_119]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aElement0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_358,plain,
( ( smndt0(sz00) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_348,c_22]) ).
tff(c_370,plain,
smndt0(sz00) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_358]) ).
tff(c_649,plain,
! [W0_50] :
( ( sdtasdt0(sz00,W0_50) = sdtasdt0(W0_50,sz00) )
| ~ aElement0(W0_50) ),
inference(resolution,[status(thm)],[c_4,c_329]) ).
tff(c_1816,plain,
! [W0_70] :
( ( sdtasdt0(smndt0(W0_70),sz00) = sdtasdt0(sz00,smndt0(W0_70)) )
| ~ aElement0(W0_70) ),
inference(resolution,[status(thm)],[c_8,c_649]) ).
tff(c_1838,plain,
( ( sdtasdt0(sz00,smndt0(sz10)) = smndt0(sz00) )
| ~ aElement0(sz00)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_1816,c_40]) ).
tff(c_1864,plain,
sdtasdt0(sz00,smndt0(sz10)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_370,c_1838]) ).
tff(c_674,plain,
! [W0_2] :
( ( sdtasdt0(smndt0(W0_2),sz00) = sdtasdt0(sz00,smndt0(W0_2)) )
| ~ aElement0(W0_2) ),
inference(resolution,[status(thm)],[c_8,c_649]) ).
tff(c_1926,plain,
aElement0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_1810]) ).
tff(c_38,plain,
! [W0_23] :
( ( sdtasdt0(W0_23,smndt0(sz10)) = smndt0(W0_23) )
| ~ aElement0(W0_23) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_726,plain,
! [W0_52,W1_53,W2_54] :
( ( sdtasdt0(sdtasdt0(W0_52,W1_53),W2_54) = sdtasdt0(W0_52,sdtasdt0(W1_53,W2_54)) )
| ~ aElement0(W2_54)
| ~ aElement0(W1_53)
| ~ aElement0(W0_52) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_760,plain,
! [W0_23,W2_54] :
( ( sdtasdt0(W0_23,sdtasdt0(smndt0(sz10),W2_54)) = sdtasdt0(smndt0(W0_23),W2_54) )
| ~ aElement0(W2_54)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(W0_23)
| ~ aElement0(W0_23) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_726]) ).
tff(c_16845,plain,
! [W0_149,W2_150] :
( ( sdtasdt0(W0_149,sdtasdt0(smndt0(sz10),W2_150)) = sdtasdt0(smndt0(W0_149),W2_150) )
| ~ aElement0(W2_150)
| ~ aElement0(W0_149) ),
inference(demodulation,[status(thm),theory(equality)],[c_1926,c_760]) ).
tff(c_17042,plain,
! [W0_149] :
( ( sdtasdt0(W0_149,sdtasdt0(sz00,smndt0(sz10))) = sdtasdt0(smndt0(W0_149),sz00) )
| ~ aElement0(sz00)
| ~ aElement0(W0_149)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_674,c_16845]) ).
tff(c_18363,plain,
! [W0_157] :
( ( sdtasdt0(smndt0(W0_157),sz00) = sdtasdt0(W0_157,sz00) )
| ~ aElement0(W0_157) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_1864,c_17042]) ).
tff(c_26,plain,
! [W1_15,W0_14] :
( ( sdtasdt0(W1_15,W0_14) = sdtasdt0(W0_14,W1_15) )
| ~ aElement0(W1_15)
| ~ aElement0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1969,plain,
! [W0_14] :
( ( sdtasdt0(smndt0(xx),W0_14) = sdtasdt0(W0_14,smndt0(xx)) )
| ~ aElement0(W0_14) ),
inference(resolution,[status(thm)],[c_1925,c_26]) ).
tff(c_18402,plain,
( ( sdtasdt0(sz00,smndt0(xx)) = sdtasdt0(xx,sz00) )
| ~ aElement0(sz00)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_18363,c_1969]) ).
tff(c_18511,plain,
sdtasdt0(sz00,smndt0(xx)) = sdtasdt0(sz00,xx),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_4,c_426,c_18402]) ).
tff(c_757,plain,
! [W0_23,W2_54] :
( ( sdtasdt0(smndt0(sz10),sdtasdt0(W0_23,W2_54)) = sdtasdt0(smndt0(W0_23),W2_54) )
| ~ aElement0(W2_54)
| ~ aElement0(W0_23)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(W0_23) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_726]) ).
tff(c_15551,plain,
! [W0_23,W2_54] :
( ( sdtasdt0(smndt0(sz10),sdtasdt0(W0_23,W2_54)) = sdtasdt0(smndt0(W0_23),W2_54) )
| ~ aElement0(W2_54)
| ~ aElement0(W0_23) ),
inference(demodulation,[status(thm),theory(equality)],[c_1926,c_757]) ).
tff(c_18572,plain,
( ( sdtasdt0(smndt0(sz10),sdtasdt0(sz00,xx)) = sdtasdt0(smndt0(sz00),smndt0(xx)) )
| ~ aElement0(smndt0(xx))
| ~ aElement0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_18511,c_15551]) ).
tff(c_18630,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1925,c_18511,c_370,c_18572]) ).
tff(c_19560,plain,
( ( smndt0(sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx) )
| ~ aElement0(sdtasdt0(sz00,xx)) ),
inference(superposition,[status(thm),theory(equality)],[c_18630,c_40]) ).
tff(c_19611,plain,
smndt0(sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(demodulation,[status(thm),theory(equality)],[c_439,c_19560]) ).
tff(c_24,plain,
! [W0_13] :
( ( sdtpldt0(W0_13,smndt0(W0_13)) = sz00 )
| ~ aElement0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_19676,plain,
( ( sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,xx)) = sz00 )
| ~ aElement0(sdtasdt0(sz00,xx)) ),
inference(superposition,[status(thm),theory(equality)],[c_19611,c_24]) ).
tff(c_19723,plain,
sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,xx)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_439,c_19676]) ).
tff(c_34,plain,
! [W1_21,W0_20,W2_22] :
( ( sdtpldt0(sdtasdt0(W1_21,W0_20),sdtasdt0(W2_22,W0_20)) = sdtasdt0(sdtpldt0(W1_21,W2_22),W0_20) )
| ~ aElement0(W2_22)
| ~ aElement0(W1_21)
| ~ aElement0(W0_20) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_20142,plain,
( ( sdtasdt0(sdtpldt0(sz00,sz00),xx) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sz00)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_19723,c_34]) ).
tff(c_20184,plain,
sdtasdt0(sz00,xx) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_4,c_4,c_116,c_20142]) ).
tff(c_20186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_431,c_20184]) ).
tff(c_20187,plain,
sdtasdt0(sz00,xx) != sz00,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_20188,plain,
sdtasdt0(xx,sz00) = sz00,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_20476,plain,
! [W1_178,W0_179] :
( ( sdtasdt0(W1_178,W0_179) = sdtasdt0(W0_179,W1_178) )
| ~ aElement0(W1_178)
| ~ aElement0(W0_179) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_20714,plain,
! [W0_187] :
( ( sdtasdt0(sz00,W0_187) = sdtasdt0(W0_187,sz00) )
| ~ aElement0(W0_187) ),
inference(resolution,[status(thm)],[c_4,c_20476]) ).
tff(c_20735,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(resolution,[status(thm)],[c_42,c_20714]) ).
tff(c_20745,plain,
sdtasdt0(sz00,xx) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_20188,c_20735]) ).
tff(c_20747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20187,c_20745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 18:22:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.16/4.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.16/4.30
% 13.16/4.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.16/4.34
% 13.16/4.34 Inference rules
% 13.16/4.34 ----------------------
% 13.16/4.34 #Ref : 0
% 13.16/4.34 #Sup : 4445
% 13.16/4.34 #Fact : 0
% 13.16/4.34 #Define : 0
% 13.16/4.34 #Split : 2
% 13.16/4.34 #Chain : 0
% 13.16/4.34 #Close : 0
% 13.16/4.34
% 13.16/4.34 Ordering : KBO
% 13.16/4.34
% 13.16/4.34 Simplification rules
% 13.16/4.34 ----------------------
% 13.16/4.34 #Subsume : 503
% 13.16/4.34 #Demod : 6611
% 13.16/4.34 #Tautology : 1720
% 13.16/4.34 #SimpNegUnit : 2
% 13.16/4.34 #BackRed : 20
% 13.16/4.34
% 13.16/4.34 #Partial instantiations: 0
% 13.16/4.34 #Strategies tried : 1
% 13.16/4.34
% 13.16/4.34 Timing (in seconds)
% 13.16/4.34 ----------------------
% 13.16/4.34 Preprocessing : 0.50
% 13.16/4.34 Parsing : 0.27
% 13.16/4.34 CNF conversion : 0.03
% 13.16/4.34 Main loop : 2.71
% 13.16/4.34 Inferencing : 0.80
% 13.16/4.34 Reduction : 1.07
% 13.16/4.34 Demodulation : 0.87
% 13.16/4.34 BG Simplification : 0.08
% 13.16/4.34 Subsumption : 0.56
% 13.16/4.34 Abstraction : 0.16
% 13.16/4.34 MUC search : 0.00
% 13.16/4.34 Cooper : 0.00
% 13.16/4.34 Total : 3.27
% 13.16/4.34 Index Insertion : 0.00
% 13.16/4.34 Index Deletion : 0.00
% 13.16/4.34 Index Matching : 0.00
% 13.16/4.34 BG Taut test : 0.00
%------------------------------------------------------------------------------