TSTP Solution File: NUM422+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM422+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n021.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 10:51:37 EDT 2023
% Result : Theorem 21.99s 8.48s
% Output : CNFRefutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 83 ( 31 unt; 7 typ; 0 def)
% Number of atoms : 167 ( 59 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 168 ( 77 ~; 69 |; 12 &)
% ( 0 <=>; 10 =>; 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 : 56 (; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aInteger0 > sdtpldt0 > sdtasdt0 > #nlpp > smndt0 > xa > sz10 > sz00
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aInteger0,type,
aInteger0: $i > $o ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(xa,type,
xa: $i ).
tff(sz10,type,
sz10: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(f_31,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
tff(f_35,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
tff(f_110,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__446) ).
tff(f_87,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
tff(f_112,negated_conjecture,
sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_30,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
tff(f_67,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
tff(f_73,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
tff(f_55,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> ( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
tff(f_109,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
tff(f_93,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
tff(f_103,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
& ( sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
tff(f_61,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
tff(c_6,plain,
aInteger0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [W0_2] :
( aInteger0(smndt0(W0_2))
| ~ aInteger0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_42,plain,
aInteger0(xa),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_485,plain,
! [W1_42,W0_43] :
( ( sdtasdt0(W1_42,W0_43) = sdtasdt0(W0_43,W1_42) )
| ~ aInteger0(W1_42)
| ~ aInteger0(W0_43) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_598,plain,
! [W0_49] :
( ( sdtasdt0(xa,W0_49) = sdtasdt0(W0_49,xa) )
| ~ aInteger0(W0_49) ),
inference(resolution,[status(thm)],[c_42,c_485]) ).
tff(c_1997,plain,
! [W0_74] :
( ( sdtasdt0(smndt0(W0_74),xa) = sdtasdt0(xa,smndt0(W0_74)) )
| ~ aInteger0(W0_74) ),
inference(resolution,[status(thm)],[c_8,c_598]) ).
tff(c_44,plain,
sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2027,plain,
( ( sdtasdt0(xa,smndt0(sz10)) != smndt0(xa) )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_1997,c_44]) ).
tff(c_2052,plain,
sdtasdt0(xa,smndt0(sz10)) != smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2027]) ).
tff(c_4,plain,
aInteger0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_127,plain,
! [W0_28] :
( ( sdtpldt0(sz00,W0_28) = W0_28 )
| ~ aInteger0(W0_28) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_141,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[c_4,c_127]) ).
tff(c_156,plain,
! [W0_29] :
( ( sdtpldt0(W0_29,sz00) = W0_29 )
| ~ aInteger0(W0_29) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_172,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[c_6,c_156]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_878,plain,
! [W0_56,W1_57,W2_58] :
( ( sdtpldt0(sdtpldt0(W0_56,W1_57),W2_58) = sdtpldt0(W0_56,sdtpldt0(W1_57,W2_58)) )
| ~ aInteger0(W2_58)
| ~ aInteger0(W1_57)
| ~ aInteger0(W0_56) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_18529,plain,
! [W0_185,W2_186] :
( ( sdtpldt0(smndt0(W0_185),sdtpldt0(W0_185,W2_186)) = sdtpldt0(sz00,W2_186) )
| ~ aInteger0(W2_186)
| ~ aInteger0(W0_185)
| ~ aInteger0(smndt0(W0_185))
| ~ aInteger0(W0_185) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_878]) ).
tff(c_18735,plain,
( ( sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sz00,sz00) )
| ~ aInteger0(sz00)
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_172,c_18529]) ).
tff(c_18818,plain,
( ( sdtpldt0(smndt0(sz10),sz10) = sz00 )
| ~ aInteger0(smndt0(sz10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_4,c_141,c_18735]) ).
tff(c_22591,plain,
~ aInteger0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_18818]) ).
tff(c_22594,plain,
~ aInteger0(sz10),
inference(resolution,[status(thm)],[c_8,c_22591]) ).
tff(c_22598,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_22594]) ).
tff(c_22600,plain,
aInteger0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_18818]) ).
tff(c_173,plain,
sdtpldt0(xa,sz00) = xa,
inference(resolution,[status(thm)],[c_42,c_156]) ).
tff(c_18732,plain,
( ( sdtpldt0(smndt0(xa),xa) = sdtpldt0(sz00,sz00) )
| ~ aInteger0(sz00)
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_18529]) ).
tff(c_18816,plain,
( ( sdtpldt0(smndt0(xa),xa) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_42,c_4,c_141,c_18732]) ).
tff(c_18825,plain,
~ aInteger0(smndt0(xa)),
inference(splitLeft,[status(thm)],[c_18816]) ).
tff(c_18828,plain,
~ aInteger0(xa),
inference(resolution,[status(thm)],[c_8,c_18825]) ).
tff(c_18832,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_18828]) ).
tff(c_18834,plain,
aInteger0(smndt0(xa)),
inference(splitRight,[status(thm)],[c_18816]) ).
tff(c_503,plain,
! [W0_43] :
( ( sdtasdt0(xa,W0_43) = sdtasdt0(W0_43,xa) )
| ~ aInteger0(W0_43) ),
inference(resolution,[status(thm)],[c_42,c_485]) ).
tff(c_22653,plain,
sdtasdt0(smndt0(sz10),xa) = sdtasdt0(xa,smndt0(sz10)),
inference(resolution,[status(thm)],[c_22600,c_503]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aInteger0(sdtasdt0(W0_5,W1_6))
| ~ aInteger0(W1_6)
| ~ aInteger0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_27401,plain,
( aInteger0(sdtasdt0(xa,smndt0(sz10)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_22653,c_12]) ).
tff(c_27451,plain,
aInteger0(sdtasdt0(xa,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_22600,c_42,c_27401]) ).
tff(c_20,plain,
! [W0_12] :
( ( sdtpldt0(W0_12,sz00) = W0_12 )
| ~ aInteger0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_18893,plain,
sdtpldt0(smndt0(xa),sz00) = smndt0(xa),
inference(resolution,[status(thm)],[c_18834,c_20]) ).
tff(c_182,plain,
! [W0_30] :
( ( sdtasdt0(sz00,W0_30) = sz00 )
| ~ aInteger0(W0_30) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_200,plain,
sdtasdt0(sz00,xa) = sz00,
inference(resolution,[status(thm)],[c_42,c_182]) ).
tff(c_22599,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(splitRight,[status(thm)],[c_18818]) ).
tff(c_28,plain,
! [W1_18,W0_17] :
( ( sdtasdt0(W1_18,W0_17) = sdtasdt0(W0_17,W1_18) )
| ~ aInteger0(W1_18)
| ~ aInteger0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_22657,plain,
! [W0_17] :
( ( sdtasdt0(smndt0(sz10),W0_17) = sdtasdt0(W0_17,smndt0(sz10)) )
| ~ aInteger0(W0_17) ),
inference(resolution,[status(thm)],[c_22600,c_28]) ).
tff(c_46,plain,
! [W0_25] :
( ( sdtasdt0(sz10,W0_25) = W0_25 )
| ~ aInteger0(W0_25) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_62,plain,
sdtasdt0(sz10,xa) = xa,
inference(resolution,[status(thm)],[c_42,c_46]) ).
tff(c_1128,plain,
! [W0_61,W2_62,W1_63] :
( ( sdtpldt0(sdtasdt0(W0_61,W2_62),sdtasdt0(W1_63,W2_62)) = sdtasdt0(sdtpldt0(W0_61,W1_63),W2_62) )
| ~ aInteger0(W2_62)
| ~ aInteger0(W1_63)
| ~ aInteger0(W0_61) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_1236,plain,
! [W0_61] :
( ( sdtpldt0(sdtasdt0(W0_61,xa),xa) = sdtasdt0(sdtpldt0(W0_61,sz10),xa) )
| ~ aInteger0(xa)
| ~ aInteger0(sz10)
| ~ aInteger0(W0_61) ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_1128]) ).
tff(c_55402,plain,
! [W0_284] :
( ( sdtpldt0(sdtasdt0(W0_284,xa),xa) = sdtasdt0(sdtpldt0(W0_284,sz10),xa) )
| ~ aInteger0(W0_284) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_42,c_1236]) ).
tff(c_55482,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(sz10)),xa) = sdtasdt0(sdtpldt0(smndt0(sz10),sz10),xa) )
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_22657,c_55402]) ).
tff(c_55596,plain,
sdtpldt0(sdtasdt0(xa,smndt0(sz10)),xa) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_22600,c_200,c_22599,c_55482]) ).
tff(c_579,plain,
! [W1_47,W0_48] :
( ( sdtpldt0(W1_47,W0_48) = sdtpldt0(W0_48,W1_47) )
| ~ aInteger0(W1_47)
| ~ aInteger0(W0_48) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_593,plain,
! [W0_5,W1_6,W0_48] :
( ( sdtpldt0(sdtasdt0(W0_5,W1_6),W0_48) = sdtpldt0(W0_48,sdtasdt0(W0_5,W1_6)) )
| ~ aInteger0(W0_48)
| ~ aInteger0(W1_6)
| ~ aInteger0(W0_5) ),
inference(resolution,[status(thm)],[c_12,c_579]) ).
tff(c_55667,plain,
( ( sdtpldt0(xa,sdtasdt0(xa,smndt0(sz10))) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_55596,c_593]) ).
tff(c_55726,plain,
sdtpldt0(xa,sdtasdt0(xa,smndt0(sz10))) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_22600,c_42,c_55667]) ).
tff(c_909,plain,
! [W0_13,W2_58] :
( ( sdtpldt0(smndt0(W0_13),sdtpldt0(W0_13,W2_58)) = sdtpldt0(sz00,W2_58) )
| ~ aInteger0(W2_58)
| ~ aInteger0(W0_13)
| ~ aInteger0(smndt0(W0_13))
| ~ aInteger0(W0_13) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_878]) ).
tff(c_56009,plain,
( ( sdtpldt0(sz00,sdtasdt0(xa,smndt0(sz10))) = sdtpldt0(smndt0(xa),sz00) )
| ~ aInteger0(sdtasdt0(xa,smndt0(sz10)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_55726,c_909]) ).
tff(c_56072,plain,
sdtpldt0(sz00,sdtasdt0(xa,smndt0(sz10))) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_18834,c_42,c_27451,c_18893,c_56009]) ).
tff(c_241,plain,
! [W0_35,W1_36] :
( aInteger0(sdtasdt0(W0_35,W1_36))
| ~ aInteger0(W1_36)
| ~ aInteger0(W0_35) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aInteger0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_292,plain,
! [W0_35,W1_36] :
( ( sdtpldt0(sz00,sdtasdt0(W0_35,W1_36)) = sdtasdt0(W0_35,W1_36) )
| ~ aInteger0(W1_36)
| ~ aInteger0(W0_35) ),
inference(resolution,[status(thm)],[c_241,c_18]) ).
tff(c_57470,plain,
( ( sdtasdt0(xa,smndt0(sz10)) = smndt0(xa) )
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_56072,c_292]) ).
tff(c_57533,plain,
sdtasdt0(xa,smndt0(sz10)) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_22600,c_57470]) ).
tff(c_57535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2052,c_57533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM422+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 15:08:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 21.99/8.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.04/8.49
% 22.04/8.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.04/8.52
% 22.04/8.52 Inference rules
% 22.04/8.53 ----------------------
% 22.04/8.53 #Ref : 0
% 22.04/8.53 #Sup : 12115
% 22.04/8.53 #Fact : 0
% 22.04/8.53 #Define : 0
% 22.04/8.53 #Split : 2
% 22.04/8.53 #Chain : 0
% 22.04/8.53 #Close : 0
% 22.04/8.53
% 22.04/8.53 Ordering : KBO
% 22.04/8.53
% 22.04/8.53 Simplification rules
% 22.04/8.53 ----------------------
% 22.04/8.53 #Subsume : 1685
% 22.04/8.53 #Demod : 19574
% 22.04/8.53 #Tautology : 3876
% 22.04/8.53 #SimpNegUnit : 1
% 22.04/8.53 #BackRed : 5
% 22.04/8.53
% 22.04/8.53 #Partial instantiations: 0
% 22.04/8.53 #Strategies tried : 1
% 22.04/8.53
% 22.04/8.53 Timing (in seconds)
% 22.04/8.53 ----------------------
% 22.04/8.53 Preprocessing : 0.50
% 22.04/8.53 Parsing : 0.27
% 22.04/8.53 CNF conversion : 0.03
% 22.04/8.53 Main loop : 6.93
% 22.04/8.53 Inferencing : 1.58
% 22.04/8.53 Reduction : 3.10
% 22.04/8.53 Demodulation : 2.64
% 22.04/8.53 BG Simplification : 0.18
% 22.04/8.53 Subsumption : 1.71
% 22.04/8.53 Abstraction : 0.32
% 22.04/8.53 MUC search : 0.00
% 22.04/8.53 Cooper : 0.00
% 22.04/8.53 Total : 7.49
% 22.04/8.53 Index Insertion : 0.00
% 22.04/8.53 Index Deletion : 0.00
% 22.04/8.53 Index Matching : 0.00
% 22.04/8.53 BG Taut test : 0.00
%------------------------------------------------------------------------------