TSTP Solution File: GEO191+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO191+3 : 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 : n010.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 10:38:33 EDT 2023
% Result : Theorem 17.68s 7.29s
% Output : CNFRefutation 17.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 88 ( 24 unt; 20 typ; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 128 ( 47 ~; 67 |; 7 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 16 >; 14 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 144 (; 144 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > parallel_lines > orthogonal_lines > incident_point_and_line > equal_points > equal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > orthogonal_through_point > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(equal_lines,type,
equal_lines: ( $i * $i ) > $o ).
tff(equal_points,type,
equal_points: ( $i * $i ) > $o ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(parallel_through_point,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $i * $i ) > $o ).
tff(orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(point,type,
point: $i > $o ).
tff(line,type,
line: $i > $o ).
tff(parallel_lines,type,
parallel_lines: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_292,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
tff(f_246,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_79,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_61,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_426,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).
tff(f_242,axiom,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
tff(f_441,negated_conjecture,
~ ! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_126,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_249,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_321,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',couo1) ).
tff(c_17341,plain,
! [L_908,M_909] :
( unorthogonal_lines(L_908,M_909)
| convergent_lines(L_908,M_909) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_48,plain,
! [L_49,A_48] : ~ unorthogonal_lines(orthogonal_through_point(L_49,A_48),L_49),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_17346,plain,
! [M_909,A_48] : convergent_lines(orthogonal_through_point(M_909,A_48),M_909),
inference(resolution,[status(thm)],[c_17341,c_48]) ).
tff(c_17401,plain,
! [Y_950,Z_951,X_952] :
( convergent_lines(Y_950,Z_951)
| convergent_lines(X_952,Z_951)
| ~ convergent_lines(X_952,Y_950) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_17433,plain,
! [M_955,Z_956,A_957] :
( convergent_lines(M_955,Z_956)
| convergent_lines(orthogonal_through_point(M_955,A_957),Z_956) ),
inference(resolution,[status(thm)],[c_17346,c_17401]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_17441,plain,
! [M_955,A_957] : convergent_lines(M_955,orthogonal_through_point(M_955,A_957)),
inference(resolution,[status(thm)],[c_17433,c_6]) ).
tff(c_92,plain,
! [X_80,Y_81] :
( orthogonal_lines(X_80,Y_81)
| unorthogonal_lines(X_80,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_19448,plain,
! [L_1145,N_1146,M_1147] :
( convergent_lines(L_1145,N_1146)
| unorthogonal_lines(M_1147,N_1146)
| ~ unorthogonal_lines(L_1145,M_1147)
| ~ convergent_lines(L_1145,M_1147) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_22137,plain,
! [X_1253,N_1254,Y_1255] :
( convergent_lines(X_1253,N_1254)
| unorthogonal_lines(Y_1255,N_1254)
| ~ convergent_lines(X_1253,Y_1255)
| orthogonal_lines(X_1253,Y_1255) ),
inference(resolution,[status(thm)],[c_92,c_19448]) ).
tff(c_22329,plain,
! [Y_1256,N_1257] :
( unorthogonal_lines(Y_1256,N_1257)
| ~ convergent_lines(N_1257,Y_1256)
| orthogonal_lines(N_1257,Y_1256) ),
inference(resolution,[status(thm)],[c_22137,c_6]) ).
tff(c_22350,plain,
! [N_1257,A_48] :
( ~ convergent_lines(N_1257,orthogonal_through_point(N_1257,A_48))
| orthogonal_lines(N_1257,orthogonal_through_point(N_1257,A_48)) ),
inference(resolution,[status(thm)],[c_22329,c_48]) ).
tff(c_22361,plain,
! [N_1257,A_48] : orthogonal_lines(N_1257,orthogonal_through_point(N_1257,A_48)),
inference(demodulation,[status(thm),theory(equality)],[c_17441,c_22350]) ).
tff(c_118,plain,
! [L_99,M_100] :
( unorthogonal_lines(L_99,M_100)
| convergent_lines(L_99,M_100) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_123,plain,
! [M_100,A_48] : convergent_lines(orthogonal_through_point(M_100,A_48),M_100),
inference(resolution,[status(thm)],[c_118,c_48]) ).
tff(c_175,plain,
! [Y_138,Z_139,X_140] :
( convergent_lines(Y_138,Z_139)
| convergent_lines(X_140,Z_139)
| ~ convergent_lines(X_140,Y_138) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_214,plain,
! [M_144,Z_145,A_146] :
( convergent_lines(M_144,Z_145)
| convergent_lines(orthogonal_through_point(M_144,A_146),Z_145) ),
inference(resolution,[status(thm)],[c_123,c_175]) ).
tff(c_222,plain,
! [M_144,A_146] : convergent_lines(M_144,orthogonal_through_point(M_144,A_146)),
inference(resolution,[status(thm)],[c_214,c_6]) ).
tff(c_2098,plain,
! [L_326,N_327,M_328] :
( convergent_lines(L_326,N_327)
| unorthogonal_lines(M_328,N_327)
| ~ unorthogonal_lines(L_326,M_328)
| ~ convergent_lines(L_326,M_328) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_5468,plain,
! [X_473,N_474,Y_475] :
( convergent_lines(X_473,N_474)
| unorthogonal_lines(Y_475,N_474)
| ~ convergent_lines(X_473,Y_475)
| orthogonal_lines(X_473,Y_475) ),
inference(resolution,[status(thm)],[c_92,c_2098]) ).
tff(c_6321,plain,
! [Y_499,N_500] :
( unorthogonal_lines(Y_499,N_500)
| ~ convergent_lines(N_500,Y_499)
| orthogonal_lines(N_500,Y_499) ),
inference(resolution,[status(thm)],[c_5468,c_6]) ).
tff(c_6342,plain,
! [N_500,A_48] :
( ~ convergent_lines(N_500,orthogonal_through_point(N_500,A_48))
| orthogonal_lines(N_500,orthogonal_through_point(N_500,A_48)) ),
inference(resolution,[status(thm)],[c_6321,c_48]) ).
tff(c_6353,plain,
! [N_500,A_48] : orthogonal_lines(N_500,orthogonal_through_point(N_500,A_48)),
inference(demodulation,[status(thm),theory(equality)],[c_222,c_6342]) ).
tff(c_98,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_108,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_273,plain,
! [X_156,Z_157,Y_158] :
( apart_point_and_line(X_156,Z_157)
| distinct_lines(Y_158,Z_157)
| ~ apart_point_and_line(X_156,Y_158) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_299,plain,
! [Z_161] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_161)
| distinct_lines('#skF_3',Z_161) ),
inference(resolution,[status(thm)],[c_108,c_273]) ).
tff(c_50,plain,
! [A_50,L_51] : ~ apart_point_and_line(A_50,orthogonal_through_point(L_51,A_50)),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_628,plain,
! [L_185] : distinct_lines('#skF_3',orthogonal_through_point(L_185,intersection_point('#skF_1','#skF_2'))),
inference(resolution,[status(thm)],[c_299,c_50]) ).
tff(c_30,plain,
! [X_34,Y_35] :
( convergent_lines(X_34,Y_35)
| ~ distinct_lines(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_635,plain,
! [L_185] : convergent_lines('#skF_3',orthogonal_through_point(L_185,intersection_point('#skF_1','#skF_2'))),
inference(resolution,[status(thm)],[c_628,c_30]) ).
tff(c_2405,plain,
! [L_346,N_347,M_348] :
( unorthogonal_lines(L_346,N_347)
| unorthogonal_lines(M_348,N_347)
| ~ unorthogonal_lines(L_346,M_348)
| ~ convergent_lines(L_346,M_348) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_5976,plain,
! [X_488,N_489,Y_490] :
( unorthogonal_lines(X_488,N_489)
| unorthogonal_lines(Y_490,N_489)
| ~ convergent_lines(X_488,Y_490)
| orthogonal_lines(X_488,Y_490) ),
inference(resolution,[status(thm)],[c_92,c_2405]) ).
tff(c_15979,plain,
! [X_890,N_891,A_892] :
( unorthogonal_lines(X_890,N_891)
| ~ convergent_lines(X_890,orthogonal_through_point(N_891,A_892))
| orthogonal_lines(X_890,orthogonal_through_point(N_891,A_892)) ),
inference(resolution,[status(thm)],[c_5976,c_48]) ).
tff(c_650,plain,
! [M_188,N_189,L_190] :
( ~ convergent_lines(M_188,N_189)
| unorthogonal_lines(L_190,N_189)
| unorthogonal_lines(L_190,M_188) ),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_1097,plain,
! [L_236,M_237,A_238] :
( unorthogonal_lines(L_236,M_237)
| unorthogonal_lines(L_236,orthogonal_through_point(M_237,A_238)) ),
inference(resolution,[status(thm)],[c_123,c_650]) ).
tff(c_90,plain,
! [X_80,Y_81] :
( ~ unorthogonal_lines(X_80,Y_81)
| ~ orthogonal_lines(X_80,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_1108,plain,
! [L_236,M_237,A_238] :
( ~ orthogonal_lines(L_236,orthogonal_through_point(M_237,A_238))
| unorthogonal_lines(L_236,M_237) ),
inference(resolution,[status(thm)],[c_1097,c_90]) ).
tff(c_16813,plain,
! [X_899,N_900,A_901] :
( unorthogonal_lines(X_899,N_900)
| ~ convergent_lines(X_899,orthogonal_through_point(N_900,A_901)) ),
inference(resolution,[status(thm)],[c_15979,c_1108]) ).
tff(c_17265,plain,
! [L_902] : unorthogonal_lines('#skF_3',L_902),
inference(resolution,[status(thm)],[c_635,c_16813]) ).
tff(c_17293,plain,
! [L_903] : ~ orthogonal_lines('#skF_3',L_903),
inference(resolution,[status(thm)],[c_17265,c_90]) ).
tff(c_17336,plain,
$false,
inference(resolution,[status(thm)],[c_6353,c_17293]) ).
tff(c_17337,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4'),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_17875,plain,
! [X_1009,Z_1010,Y_1011] :
( apart_point_and_line(X_1009,Z_1010)
| distinct_lines(Y_1011,Z_1010)
| ~ apart_point_and_line(X_1009,Y_1011) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_17892,plain,
! [Z_1015] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1015)
| distinct_lines('#skF_4',Z_1015) ),
inference(resolution,[status(thm)],[c_17337,c_17875]) ).
tff(c_18439,plain,
! [L_1056] : distinct_lines('#skF_4',orthogonal_through_point(L_1056,intersection_point('#skF_1','#skF_2'))),
inference(resolution,[status(thm)],[c_17892,c_50]) ).
tff(c_18446,plain,
! [L_1056] : convergent_lines('#skF_4',orthogonal_through_point(L_1056,intersection_point('#skF_1','#skF_2'))),
inference(resolution,[status(thm)],[c_18439,c_30]) ).
tff(c_18689,plain,
! [L_1078,N_1079,M_1080] :
( unorthogonal_lines(L_1078,N_1079)
| unorthogonal_lines(M_1080,N_1079)
| ~ unorthogonal_lines(L_1078,M_1080)
| ~ convergent_lines(L_1078,M_1080) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_20481,plain,
! [X_1198,N_1199,Y_1200] :
( unorthogonal_lines(X_1198,N_1199)
| unorthogonal_lines(Y_1200,N_1199)
| ~ convergent_lines(X_1198,Y_1200)
| orthogonal_lines(X_1198,Y_1200) ),
inference(resolution,[status(thm)],[c_92,c_18689]) ).
tff(c_29323,plain,
! [X_1580,N_1581,A_1582] :
( unorthogonal_lines(X_1580,N_1581)
| ~ convergent_lines(X_1580,orthogonal_through_point(N_1581,A_1582))
| orthogonal_lines(X_1580,orthogonal_through_point(N_1581,A_1582)) ),
inference(resolution,[status(thm)],[c_20481,c_48]) ).
tff(c_17761,plain,
! [M_997,N_998,L_999] :
( ~ convergent_lines(M_997,N_998)
| unorthogonal_lines(L_999,N_998)
| unorthogonal_lines(L_999,M_997) ),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_18530,plain,
! [L_1063,M_1064,A_1065] :
( unorthogonal_lines(L_1063,M_1064)
| unorthogonal_lines(L_1063,orthogonal_through_point(M_1064,A_1065)) ),
inference(resolution,[status(thm)],[c_17346,c_17761]) ).
tff(c_18547,plain,
! [L_1063,M_1064,A_1065] :
( ~ orthogonal_lines(L_1063,orthogonal_through_point(M_1064,A_1065))
| unorthogonal_lines(L_1063,M_1064) ),
inference(resolution,[status(thm)],[c_18530,c_90]) ).
tff(c_29556,plain,
! [X_1583,N_1584,A_1585] :
( unorthogonal_lines(X_1583,N_1584)
| ~ convergent_lines(X_1583,orthogonal_through_point(N_1584,A_1585)) ),
inference(resolution,[status(thm)],[c_29323,c_18547]) ).
tff(c_29954,plain,
! [L_1588] : unorthogonal_lines('#skF_4',L_1588),
inference(resolution,[status(thm)],[c_18446,c_29556]) ).
tff(c_29982,plain,
! [L_1589] : ~ orthogonal_lines('#skF_4',L_1589),
inference(resolution,[status(thm)],[c_29954,c_90]) ).
tff(c_30021,plain,
$false,
inference(resolution,[status(thm)],[c_22361,c_29982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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 : n010.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 : Fri Aug 4 00:22:29 EDT 2023
% 0.15/0.37 % CPUTime :
% 17.68/7.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.68/7.30
% 17.68/7.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.68/7.34
% 17.68/7.34 Inference rules
% 17.68/7.34 ----------------------
% 17.68/7.34 #Ref : 0
% 17.68/7.34 #Sup : 7043
% 17.68/7.34 #Fact : 222
% 17.68/7.34 #Define : 0
% 17.68/7.34 #Split : 10
% 17.68/7.34 #Chain : 0
% 17.68/7.34 #Close : 0
% 17.68/7.34
% 17.68/7.34 Ordering : KBO
% 17.68/7.34
% 17.68/7.34 Simplification rules
% 17.68/7.34 ----------------------
% 17.68/7.34 #Subsume : 747
% 17.68/7.34 #Demod : 1178
% 17.68/7.34 #Tautology : 769
% 17.68/7.34 #SimpNegUnit : 81
% 17.68/7.34 #BackRed : 0
% 17.68/7.34
% 17.68/7.34 #Partial instantiations: 0
% 17.68/7.34 #Strategies tried : 1
% 17.68/7.34
% 17.68/7.34 Timing (in seconds)
% 17.68/7.34 ----------------------
% 17.68/7.34 Preprocessing : 0.56
% 17.68/7.34 Parsing : 0.31
% 17.68/7.34 CNF conversion : 0.04
% 17.68/7.34 Main loop : 5.70
% 17.68/7.34 Inferencing : 1.49
% 17.68/7.34 Reduction : 1.70
% 17.68/7.34 Demodulation : 1.18
% 17.68/7.34 BG Simplification : 0.09
% 17.68/7.34 Subsumption : 1.99
% 17.68/7.34 Abstraction : 0.09
% 17.68/7.34 MUC search : 0.00
% 17.68/7.34 Cooper : 0.00
% 17.68/7.34 Total : 6.32
% 17.68/7.35 Index Insertion : 0.00
% 17.68/7.35 Index Deletion : 0.00
% 17.68/7.35 Index Matching : 0.00
% 17.68/7.35 BG Taut test : 0.00
%------------------------------------------------------------------------------