TSTP Solution File: GRP110-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n014.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 10:39:51 EDT 2023
% Result : Unsatisfiable 181.52s 143.84s
% Output : CNFRefutation 181.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 184 ( 168 unt; 12 typ; 0 def)
% Number of atoms : 181 ( 177 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 22 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 347 (; 347 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > c3 > b4 > b3 > b2 > b1 > a4 > a3 > a2 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(b4,type,
b4: $i ).
tff(b3,type,
b3: $i ).
tff(a2,type,
a2: $i ).
tff(a4,type,
a4: $i ).
tff(f_29,axiom,
! [X,Y] : ( multiply(X,Y) = inverse(double_divide(Y,X)) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y,Z] : ( inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))) = Y ),
file(unknown,unknown) ).
tff(f_40,axiom,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(a4,b4) != multiply(b4,a4) ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [Y_5,X_4] : ( inverse(double_divide(Y_5,X_4)) = multiply(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( inverse(double_divide(inverse(double_divide(inverse(double_divide(X_1,Y_2)),Z_3)),double_divide(X_1,Z_3))) = Y_2 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_7,plain,
! [X_1,Z_3,Y_2] : ( multiply(double_divide(X_1,Z_3),multiply(Z_3,multiply(Y_2,X_1))) = Y_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_17,plain,
! [X_8,Z_9,Y_10] : ( multiply(double_divide(X_8,Z_9),multiply(Z_9,multiply(Y_10,X_8))) = Y_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_64,plain,
! [Z_14,Y_15,X_16,Z_17] : ( multiply(double_divide(multiply(Z_14,multiply(Y_15,X_16)),Z_17),multiply(Z_17,Y_15)) = double_divide(X_16,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_23,plain,
! [Y_10,X_8,Z_9] : ( multiply(double_divide(multiply(Y_10,X_8),double_divide(X_8,Z_9)),Y_10) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_145533,plain,
! [X_620,Y_621,Z_622] : ( double_divide(X_620,multiply(double_divide(multiply(Y_621,X_620),Z_622),Y_621)) = Z_622 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_145561,plain,
! [Y_621,X_620,Z_622] : ( multiply(multiply(double_divide(multiply(Y_621,X_620),Z_622),Y_621),X_620) = inverse(Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_145533,c_4]) ).
tff(c_83,plain,
! [X_16,Y_15,Z_9] : ( double_divide(X_16,multiply(double_divide(multiply(Y_15,X_16),Z_9),Y_15)) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_29,plain,
! [Z_3,Y_2,X_1,Z_9] : ( multiply(double_divide(multiply(Z_3,multiply(Y_2,X_1)),Z_9),multiply(Z_9,Y_2)) = double_divide(X_1,Z_3) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_145634,plain,
! [Y_624,X_625,Z_626] : ( double_divide(multiply(Y_624,X_625),double_divide(X_625,multiply(Z_626,Y_624))) = Z_626 ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_145533]) ).
tff(c_146031,plain,
! [X_634,Z_635,Y_636] : ( multiply(double_divide(X_634,multiply(Z_635,Y_636)),multiply(Y_636,X_634)) = inverse(Z_635) ),
inference(superposition,[status(thm),theory(equality)],[c_145634,c_4]) ).
tff(c_146078,plain,
! [X_634,Z_635,Y_636] : ( multiply(double_divide(X_634,double_divide(X_634,multiply(Z_635,Y_636))),inverse(Z_635)) = Y_636 ),
inference(superposition,[status(thm),theory(equality)],[c_146031,c_7]) ).
tff(c_146511,plain,
! [X_642,Z_643,Y_644] : ( multiply(double_divide(X_642,double_divide(X_642,multiply(Z_643,Y_644))),inverse(Z_643)) = Y_644 ),
inference(superposition,[status(thm),theory(equality)],[c_146031,c_7]) ).
tff(c_146927,plain,
! [Z_648,X_649,Y_650] : ( double_divide(multiply(inverse(Z_648),X_649),multiply(Z_648,Y_650)) = double_divide(X_649,Y_650) ),
inference(superposition,[status(thm),theory(equality)],[c_146511,c_83]) ).
tff(c_147968,plain,
! [X_668,Y_669,Z_670] : ( double_divide(X_668,multiply(double_divide(X_668,Y_669),inverse(Z_670))) = multiply(Z_670,Y_669) ),
inference(superposition,[status(thm),theory(equality)],[c_146927,c_83]) ).
tff(c_148463,plain,
! [Z_675,X_676,Y_677] : ( multiply(Z_675,double_divide(X_676,multiply(Z_675,Y_677))) = double_divide(X_676,Y_677) ),
inference(superposition,[status(thm),theory(equality)],[c_146078,c_147968]) ).
tff(c_149874,plain,
! [Y_686,X_687,Z_688] : ( multiply(double_divide(multiply(Y_686,X_687),Z_688),Z_688) = double_divide(X_687,Y_686) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_148463]) ).
tff(c_150218,plain,
! [X_689,Z_690] : ( double_divide(X_689,double_divide(X_689,Z_690)) = Z_690 ),
inference(superposition,[status(thm),theory(equality)],[c_149874,c_83]) ).
tff(c_150307,plain,
! [X_689,Z_690] : ( multiply(double_divide(X_689,Z_690),X_689) = inverse(Z_690) ),
inference(superposition,[status(thm),theory(equality)],[c_150218,c_4]) ).
tff(c_89,plain,
! [Y_15,Z_14,X_16,Z_17] : ( multiply(double_divide(Y_15,double_divide(multiply(Z_14,multiply(Y_15,X_16)),Z_17)),double_divide(X_16,Z_14)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_7]) ).
tff(c_150908,plain,
! [X_697,Z_698] : ( multiply(double_divide(X_697,Z_698),X_697) = inverse(Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_150218,c_4]) ).
tff(c_151048,plain,
! [Z_14,X_16,Z_17] : ( inverse(double_divide(multiply(Z_14,multiply(double_divide(X_16,Z_14),X_16)),Z_17)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_150908]) ).
tff(c_151123,plain,
! [Z_17,Z_14] : ( multiply(Z_17,multiply(Z_14,inverse(Z_14))) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_150307,c_151048]) ).
tff(c_149994,plain,
! [X_687,Z_688] : ( double_divide(X_687,double_divide(X_687,Z_688)) = Z_688 ),
inference(superposition,[status(thm),theory(equality)],[c_149874,c_83]) ).
tff(c_115,plain,
! [X_16,Y_15,Z_9] : ( double_divide(X_16,multiply(double_divide(multiply(Y_15,X_16),Z_9),Y_15)) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_23,c_64]) ).
tff(c_142517,plain,
! [X_550,Y_551,Z_552] : ( double_divide(X_550,multiply(double_divide(multiply(Y_551,X_550),Z_552),Y_551)) = Z_552 ),
inference(superposition,[status(thm),theory(equality)],[c_23,c_64]) ).
tff(c_142568,plain,
! [Y_553,X_554,Z_555] : ( double_divide(multiply(Y_553,X_554),double_divide(X_554,multiply(Z_555,Y_553))) = Z_555 ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_142517]) ).
tff(c_142751,plain,
! [X_560,Z_561,Y_562] : ( multiply(double_divide(X_560,multiply(Z_561,Y_562)),multiply(Y_562,X_560)) = inverse(Z_561) ),
inference(superposition,[status(thm),theory(equality)],[c_142568,c_4]) ).
tff(c_142794,plain,
! [X_560,Z_561,Y_562] : ( multiply(double_divide(X_560,double_divide(X_560,multiply(Z_561,Y_562))),inverse(Z_561)) = Y_562 ),
inference(superposition,[status(thm),theory(equality)],[c_142751,c_7]) ).
tff(c_142852,plain,
! [X_563,Z_564,Y_565] : ( multiply(double_divide(X_563,double_divide(X_563,multiply(Z_564,Y_565))),inverse(Z_564)) = Y_565 ),
inference(superposition,[status(thm),theory(equality)],[c_142751,c_7]) ).
tff(c_143069,plain,
! [Z_570,X_571,Y_572] : ( double_divide(multiply(inverse(Z_570),X_571),multiply(Z_570,Y_572)) = double_divide(X_571,Y_572) ),
inference(superposition,[status(thm),theory(equality)],[c_142852,c_115]) ).
tff(c_143240,plain,
! [X_576,Y_577,Z_578] : ( double_divide(X_576,multiply(double_divide(X_576,Y_577),inverse(Z_578))) = multiply(Z_578,Y_577) ),
inference(superposition,[status(thm),theory(equality)],[c_143069,c_115]) ).
tff(c_143324,plain,
! [Z_579,X_580,Y_581] : ( multiply(Z_579,double_divide(X_580,multiply(Z_579,Y_581))) = double_divide(X_580,Y_581) ),
inference(superposition,[status(thm),theory(equality)],[c_142794,c_143240]) ).
tff(c_143426,plain,
! [Y_582,X_583,Z_584] : ( multiply(double_divide(multiply(Y_582,X_583),Z_584),Z_584) = double_divide(X_583,Y_582) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_143324]) ).
tff(c_143489,plain,
! [X_583,Z_584] : ( double_divide(X_583,double_divide(X_583,Z_584)) = Z_584 ),
inference(superposition,[status(thm),theory(equality)],[c_143426,c_115]) ).
tff(c_142554,plain,
! [Y_2,X_1,Z_9] : ( double_divide(multiply(Y_2,X_1),double_divide(X_1,multiply(Z_9,Y_2))) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_142517]) ).
tff(c_142590,plain,
! [X_554,Z_555,Y_553] : ( multiply(double_divide(X_554,multiply(Z_555,Y_553)),multiply(Y_553,X_554)) = inverse(Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_142568,c_4]) ).
tff(c_143541,plain,
! [Z_555,Z_584,Y_553,X_554] : ( multiply(double_divide(inverse(Z_555),Z_584),Z_584) = double_divide(multiply(Y_553,X_554),double_divide(X_554,multiply(Z_555,Y_553))) ),
inference(superposition,[status(thm),theory(equality)],[c_142590,c_143426]) ).
tff(c_143851,plain,
! [Z_591,Z_592] : ( multiply(double_divide(inverse(Z_591),Z_592),Z_592) = Z_591 ),
inference(demodulation,[status(thm),theory(equality)],[c_142554,c_143541]) ).
tff(c_143888,plain,
! [Z_591] : ( inverse(inverse(Z_591)) = Z_591 ),
inference(superposition,[status(thm),theory(equality)],[c_143851,c_142590]) ).
tff(c_144252,plain,
! [Z_599,Z_600] : ( multiply(Z_599,double_divide(inverse(Z_600),Z_599)) = Z_600 ),
inference(superposition,[status(thm),theory(equality)],[c_143489,c_143851]) ).
tff(c_144339,plain,
! [Z_601,Z_602] : ( multiply(Z_601,double_divide(Z_602,Z_601)) = inverse(Z_602) ),
inference(superposition,[status(thm),theory(equality)],[c_143888,c_144252]) ).
tff(c_143465,plain,
! [Y_582,X_583] : ( inverse(multiply(Y_582,X_583)) = double_divide(X_583,Y_582) ),
inference(superposition,[status(thm),theory(equality)],[c_143426,c_142590]) ).
tff(c_144349,plain,
! [Z_602,Z_601] : ( double_divide(double_divide(Z_602,Z_601),Z_601) = inverse(inverse(Z_602)) ),
inference(superposition,[status(thm),theory(equality)],[c_144339,c_143465]) ).
tff(c_144432,plain,
! [Z_603,Z_604] : ( double_divide(double_divide(Z_603,Z_604),Z_604) = Z_603 ),
inference(demodulation,[status(thm),theory(equality)],[c_143888,c_144349]) ).
tff(c_144707,plain,
! [Z_608,X_609] : ( double_divide(Z_608,double_divide(X_609,Z_608)) = X_609 ),
inference(superposition,[status(thm),theory(equality)],[c_143489,c_144432]) ).
tff(c_144785,plain,
! [Y_10,X_609] : ( multiply(Y_10,X_609) = multiply(X_609,Y_10) ),
inference(superposition,[status(thm),theory(equality)],[c_144707,c_23]) ).
tff(c_128,plain,
! [X_18,Y_19,Z_20] : ( double_divide(X_18,multiply(double_divide(multiply(Y_19,X_18),Z_20),Y_19)) = Z_20 ),
inference(superposition,[status(thm),theory(equality)],[c_23,c_64]) ).
tff(c_176,plain,
! [Y_21,X_22,Z_23] : ( multiply(multiply(double_divide(multiply(Y_21,X_22),Z_23),Y_21),X_22) = inverse(Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_4]) ).
tff(c_222,plain,
! [X_1,Z_9,Y_2] : ( multiply(double_divide(X_1,multiply(Z_9,Y_2)),multiply(Y_2,X_1)) = inverse(Z_9) ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_176]) ).
tff(c_297,plain,
! [X_27,Z_28,Y_29] : ( multiply(double_divide(X_27,multiply(Z_28,Y_29)),multiply(Y_29,X_27)) = inverse(Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_176]) ).
tff(c_336,plain,
! [X_27,Z_28,Y_29] : ( multiply(double_divide(X_27,double_divide(X_27,multiply(Z_28,Y_29))),inverse(Z_28)) = Y_29 ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_7]) ).
tff(c_381,plain,
! [X_30,Z_31,Y_32] : ( multiply(double_divide(X_30,double_divide(X_30,multiply(Z_31,Y_32))),inverse(Z_31)) = Y_32 ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_7]) ).
tff(c_462,plain,
! [Z_33,X_34,Y_35] : ( double_divide(multiply(inverse(Z_33),X_34),multiply(Z_33,Y_35)) = double_divide(X_34,Y_35) ),
inference(superposition,[status(thm),theory(equality)],[c_381,c_115]) ).
tff(c_685,plain,
! [X_42,Y_43,Z_44] : ( double_divide(X_42,multiply(double_divide(X_42,Y_43),inverse(Z_44))) = multiply(Z_44,Y_43) ),
inference(superposition,[status(thm),theory(equality)],[c_462,c_115]) ).
tff(c_843,plain,
! [Z_48,X_49,Y_50] : ( multiply(Z_48,double_divide(X_49,multiply(Z_48,Y_50))) = double_divide(X_49,Y_50) ),
inference(superposition,[status(thm),theory(equality)],[c_336,c_685]) ).
tff(c_942,plain,
! [Y_51,X_52,Z_53] : ( multiply(double_divide(multiply(Y_51,X_52),Z_53),Z_53) = double_divide(X_52,Y_51) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_843]) ).
tff(c_1061,plain,
! [Y_51,X_52] : ( inverse(multiply(Y_51,X_52)) = double_divide(X_52,Y_51) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_942]) ).
tff(c_1002,plain,
! [X_52,Z_53] : ( double_divide(X_52,double_divide(X_52,Z_53)) = Z_53 ),
inference(superposition,[status(thm),theory(equality)],[c_942,c_115]) ).
tff(c_1625,plain,
! [Z_67,Y_68] : ( multiply(multiply(Z_67,Y_68),inverse(Z_67)) = Y_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_1002,c_336]) ).
tff(c_16800,plain,
! [Z_191,Y_192] : ( double_divide(inverse(Z_191),multiply(Z_191,Y_192)) = inverse(Y_192) ),
inference(superposition,[status(thm),theory(equality)],[c_1625,c_1061]) ).
tff(c_1097,plain,
! [X_54,Z_55] : ( double_divide(X_54,double_divide(X_54,Z_55)) = Z_55 ),
inference(superposition,[status(thm),theory(equality)],[c_942,c_115]) ).
tff(c_1137,plain,
! [X_54,Z_55] : ( multiply(double_divide(X_54,Z_55),X_54) = inverse(Z_55) ),
inference(superposition,[status(thm),theory(equality)],[c_1097,c_4]) ).
tff(c_16893,plain,
! [Y_192,Z_191] : ( multiply(inverse(Y_192),inverse(Z_191)) = inverse(multiply(Z_191,Y_192)) ),
inference(superposition,[status(thm),theory(equality)],[c_16800,c_1137]) ).
tff(c_26164,plain,
! [Y_237,Z_238] : ( multiply(inverse(Y_237),inverse(Z_238)) = double_divide(Y_237,Z_238) ),
inference(demodulation,[status(thm),theory(equality)],[c_1061,c_16893]) ).
tff(c_162,plain,
! [Y_2,X_1,Z_9] : ( double_divide(multiply(Y_2,X_1),double_divide(X_1,multiply(Z_9,Y_2))) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_128]) ).
tff(c_1304,plain,
! [Y_60,X_61] : ( inverse(multiply(Y_60,X_61)) = double_divide(X_61,Y_60) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_942]) ).
tff(c_1337,plain,
! [Y_2,X_1,Z_9] : ( double_divide(multiply(Y_2,X_1),double_divide(X_1,multiply(Z_9,Y_2))) = inverse(inverse(Z_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_1304]) ).
tff(c_1355,plain,
! [Z_9] : ( inverse(inverse(Z_9)) = Z_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_1337]) ).
tff(c_148,plain,
! [Y_19,X_18,Z_20] : ( multiply(multiply(double_divide(multiply(Y_19,X_18),Z_20),Y_19),X_18) = inverse(Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_4]) ).
tff(c_1067,plain,
! [Z_20,Z_53,X_18,Y_19] : ( multiply(double_divide(inverse(Z_20),Z_53),Z_53) = double_divide(X_18,multiply(double_divide(multiply(Y_19,X_18),Z_20),Y_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_148,c_942]) ).
tff(c_1507,plain,
! [Z_65,Z_66] : ( multiply(double_divide(inverse(Z_65),Z_66),Z_66) = Z_65 ),
inference(demodulation,[status(thm),theory(equality)],[c_115,c_1067]) ).
tff(c_480,plain,
! [X_34,Y_35,Z_33] : ( double_divide(X_34,multiply(double_divide(X_34,Y_35),inverse(Z_33))) = multiply(Z_33,Y_35) ),
inference(superposition,[status(thm),theory(equality)],[c_462,c_115]) ).
tff(c_17152,plain,
! [Z_193,Z_194] : ( multiply(Z_193,inverse(Z_193)) = double_divide(inverse(Z_194),Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_1507,c_480]) ).
tff(c_17551,plain,
! [Z_193,Z_9] : ( multiply(Z_193,inverse(Z_193)) = double_divide(Z_9,inverse(Z_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_1355,c_17152]) ).
tff(c_26204,plain,
! [Z_9,Y_237] : ( double_divide(Z_9,inverse(Z_9)) = double_divide(Y_237,inverse(Y_237)) ),
inference(superposition,[status(thm),theory(equality)],[c_26164,c_17551]) ).
tff(c_1096,plain,
! [Z_28,Y_29] : ( multiply(multiply(Z_28,Y_29),inverse(Z_28)) = Y_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_1002,c_336]) ).
tff(c_1682,plain,
! [Y_29,Z_28] : ( multiply(Y_29,inverse(multiply(Z_28,Y_29))) = inverse(Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_1096,c_1625]) ).
tff(c_2177,plain,
! [Y_77,Z_78] : ( multiply(Y_77,double_divide(Y_77,Z_78)) = inverse(Z_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_1061,c_1682]) ).
tff(c_2193,plain,
! [Y_77,Z_78] : ( double_divide(double_divide(Y_77,Z_78),Y_77) = inverse(inverse(Z_78)) ),
inference(superposition,[status(thm),theory(equality)],[c_2177,c_1061]) ).
tff(c_2498,plain,
! [Y_82,Z_83] : ( double_divide(double_divide(Y_82,Z_83),Y_82) = Z_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_1355,c_2193]) ).
tff(c_2565,plain,
! [Z_53,X_52] : ( double_divide(Z_53,X_52) = double_divide(X_52,Z_53) ),
inference(superposition,[status(thm),theory(equality)],[c_1002,c_2498]) ).
tff(c_1095,plain,
! [Z_20,Z_53] : ( multiply(double_divide(inverse(Z_20),Z_53),Z_53) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_115,c_1067]) ).
tff(c_1688,plain,
! [Z_20,Z_53] : ( multiply(Z_20,inverse(double_divide(inverse(Z_20),Z_53))) = Z_53 ),
inference(superposition,[status(thm),theory(equality)],[c_1095,c_1625]) ).
tff(c_2041,plain,
! [Z_75,Z_76] : ( multiply(Z_75,multiply(Z_76,inverse(Z_75))) = Z_76 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1688]) ).
tff(c_2141,plain,
! [Z_75,Z_55] : ( multiply(Z_75,inverse(Z_55)) = double_divide(inverse(Z_75),Z_55) ),
inference(superposition,[status(thm),theory(equality)],[c_1137,c_2041]) ).
tff(c_2286,plain,
! [Y_77,Z_78] : ( double_divide(double_divide(Y_77,Z_78),Y_77) = Z_78 ),
inference(demodulation,[status(thm),theory(equality)],[c_1355,c_2193]) ).
tff(c_2586,plain,
! [Z_84,Y_85] : ( double_divide(Z_84,double_divide(Y_85,Z_84)) = Y_85 ),
inference(superposition,[status(thm),theory(equality)],[c_2498,c_2286]) ).
tff(c_2676,plain,
! [Y_85,Y_10] : ( multiply(Y_85,Y_10) = multiply(Y_10,Y_85) ),
inference(superposition,[status(thm),theory(equality)],[c_2586,c_23]) ).
tff(c_6,plain,
( ( multiply(b4,a4) != multiply(a4,b4) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_127,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_3293,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_2676,c_2676,c_127]) ).
tff(c_104991,plain,
double_divide(b1,inverse(b1)) != double_divide(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_2565,c_2141,c_2565,c_2141,c_3293]) ).
tff(c_104995,plain,
! [Y_237] : ( double_divide(a1,inverse(a1)) != double_divide(Y_237,inverse(Y_237)) ),
inference(superposition,[status(thm),theory(equality)],[c_26204,c_104991]) ).
tff(c_142497,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_104995]) ).
tff(c_142498,plain,
( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(b4,a4) != multiply(a4,b4) ) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_142516,plain,
multiply(b4,a4) != multiply(a4,b4),
inference(splitLeft,[status(thm)],[c_142498]) ).
tff(c_145459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_144785,c_142516]) ).
tff(c_145461,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(splitRight,[status(thm)],[c_142498]) ).
tff(c_145684,plain,
! [Z_626] : ( double_divide(multiply(a4,b4),double_divide(a4,multiply(Z_626,b4))) = Z_626 ),
inference(superposition,[status(thm),theory(equality)],[c_145461,c_145634]) ).
tff(c_145882,plain,
! [Z_632] : ( double_divide(multiply(a4,b4),double_divide(a4,multiply(Z_632,b4))) = Z_632 ),
inference(superposition,[status(thm),theory(equality)],[c_145461,c_145634]) ).
tff(c_145906,plain,
! [Z_632] : ( multiply(double_divide(a4,multiply(Z_632,b4)),multiply(a4,b4)) = inverse(Z_632) ),
inference(superposition,[status(thm),theory(equality)],[c_145882,c_4]) ).
tff(c_145660,plain,
! [X_625,Z_626,Y_624] : ( multiply(double_divide(X_625,multiply(Z_626,Y_624)),multiply(Y_624,X_625)) = inverse(Z_626) ),
inference(superposition,[status(thm),theory(equality)],[c_145634,c_4]) ).
tff(c_151133,plain,
! [Y_699,X_700] : ( inverse(multiply(Y_699,X_700)) = double_divide(X_700,Y_699) ),
inference(superposition,[status(thm),theory(equality)],[c_145660,c_149874]) ).
tff(c_151226,plain,
! [Z_632] : ( double_divide(multiply(a4,b4),double_divide(a4,multiply(Z_632,b4))) = inverse(inverse(Z_632)) ),
inference(superposition,[status(thm),theory(equality)],[c_145906,c_151133]) ).
tff(c_151284,plain,
! [Z_632] : ( inverse(inverse(Z_632)) = Z_632 ),
inference(demodulation,[status(thm),theory(equality)],[c_145684,c_151226]) ).
tff(c_145577,plain,
! [Z_622] : ( double_divide(a4,multiply(double_divide(multiply(a4,b4),Z_622),b4)) = Z_622 ),
inference(superposition,[status(thm),theory(equality)],[c_145461,c_145533]) ).
tff(c_145789,plain,
! [Y_629,X_630,Z_631] : ( multiply(multiply(double_divide(multiply(Y_629,X_630),Z_631),Y_629),X_630) = inverse(Z_631) ),
inference(superposition,[status(thm),theory(equality)],[c_145533,c_4]) ).
tff(c_145857,plain,
! [Z_631] : ( multiply(multiply(double_divide(multiply(a4,b4),Z_631),b4),a4) = inverse(Z_631) ),
inference(superposition,[status(thm),theory(equality)],[c_145461,c_145789]) ).
tff(c_150128,plain,
! [Z_631,Z_688] : ( multiply(double_divide(inverse(Z_631),Z_688),Z_688) = double_divide(a4,multiply(double_divide(multiply(a4,b4),Z_631),b4)) ),
inference(superposition,[status(thm),theory(equality)],[c_145857,c_149874]) ).
tff(c_152007,plain,
! [Z_707,Z_708] : ( multiply(double_divide(inverse(Z_707),Z_708),Z_708) = Z_707 ),
inference(demodulation,[status(thm),theory(equality)],[c_145577,c_150128]) ).
tff(c_153920,plain,
! [Z_719,Z_720] : ( multiply(Z_719,double_divide(inverse(Z_720),Z_719)) = Z_720 ),
inference(superposition,[status(thm),theory(equality)],[c_149994,c_152007]) ).
tff(c_156158,plain,
! [Z_732,Z_733] : ( multiply(Z_732,double_divide(Z_733,Z_732)) = inverse(Z_733) ),
inference(superposition,[status(thm),theory(equality)],[c_151284,c_153920]) ).
tff(c_150135,plain,
! [Y_686,X_687] : ( inverse(multiply(Y_686,X_687)) = double_divide(X_687,Y_686) ),
inference(superposition,[status(thm),theory(equality)],[c_145660,c_149874]) ).
tff(c_156214,plain,
! [Z_733,Z_732] : ( double_divide(double_divide(Z_733,Z_732),Z_732) = inverse(inverse(Z_733)) ),
inference(superposition,[status(thm),theory(equality)],[c_156158,c_150135]) ).
tff(c_156412,plain,
! [Z_734,Z_735] : ( double_divide(double_divide(Z_734,Z_735),Z_735) = Z_734 ),
inference(demodulation,[status(thm),theory(equality)],[c_151284,c_156214]) ).
tff(c_157218,plain,
! [Z_741,X_742] : ( double_divide(Z_741,double_divide(X_742,Z_741)) = X_742 ),
inference(superposition,[status(thm),theory(equality)],[c_149994,c_156412]) ).
tff(c_157413,plain,
! [Y_10,X_742] : ( multiply(Y_10,X_742) = multiply(X_742,Y_10) ),
inference(superposition,[status(thm),theory(equality)],[c_157218,c_23]) ).
tff(c_145460,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(splitRight,[status(thm)],[c_142498]) ).
tff(c_145718,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(splitLeft,[status(thm)],[c_145460]) ).
tff(c_158396,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_157413,c_157413,c_145718]) ).
tff(c_171281,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_151123,c_158396]) ).
tff(c_171283,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(splitRight,[status(thm)],[c_145460]) ).
tff(c_171550,plain,
! [Z_824] : ( multiply(double_divide(a2,Z_824),multiply(Z_824,a2)) = multiply(inverse(b2),b2) ),
inference(superposition,[status(thm),theory(equality)],[c_171283,c_7]) ).
tff(c_171595,plain,
! [Z_9,Y_15] : ( multiply(Z_9,multiply(multiply(double_divide(multiply(Y_15,a2),Z_9),Y_15),a2)) = multiply(inverse(b2),b2) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_171550]) ).
tff(c_171604,plain,
! [Z_825] : ( multiply(inverse(b2),b2) = multiply(Z_825,inverse(Z_825)) ),
inference(demodulation,[status(thm),theory(equality)],[c_145561,c_171595]) ).
tff(c_172123,plain,
! [Y_834,X_835] : ( multiply(double_divide(Y_834,X_835),multiply(X_835,Y_834)) = multiply(inverse(b2),b2) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171604]) ).
tff(c_173925,plain,
! [Y_860,X_861] : ( multiply(double_divide(Y_860,double_divide(Y_860,X_861)),multiply(inverse(b2),b2)) = X_861 ),
inference(superposition,[status(thm),theory(equality)],[c_172123,c_7]) ).
tff(c_175946,plain,
! [Y_883,X_884] : ( multiply(double_divide(b2,double_divide(Y_883,double_divide(Y_883,X_884))),X_884) = inverse(b2) ),
inference(superposition,[status(thm),theory(equality)],[c_173925,c_7]) ).
tff(c_171603,plain,
! [Z_9] : ( multiply(inverse(b2),b2) = multiply(Z_9,inverse(Z_9)) ),
inference(demodulation,[status(thm),theory(equality)],[c_145561,c_171595]) ).
tff(c_174016,plain,
! [Y_860,X_861,Z_9] : ( multiply(double_divide(Y_860,double_divide(Y_860,X_861)),multiply(Z_9,inverse(Z_9))) = X_861 ),
inference(superposition,[status(thm),theory(equality)],[c_171603,c_173925]) ).
tff(c_176132,plain,
! [Z_885] : ( double_divide(b2,multiply(Z_885,inverse(Z_885))) = inverse(b2) ),
inference(superposition,[status(thm),theory(equality)],[c_175946,c_174016]) ).
tff(c_145587,plain,
! [Y_2,X_1,Z_9] : ( double_divide(multiply(Y_2,X_1),double_divide(X_1,multiply(Z_9,Y_2))) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_145533]) ).
tff(c_176170,plain,
! [Z_885] : ( double_divide(multiply(inverse(Z_885),b2),inverse(b2)) = Z_885 ),
inference(superposition,[status(thm),theory(equality)],[c_176132,c_145587]) ).
tff(c_172166,plain,
! [Y_834,X_835] : ( multiply(double_divide(Y_834,double_divide(Y_834,X_835)),multiply(inverse(b2),b2)) = X_835 ),
inference(superposition,[status(thm),theory(equality)],[c_172123,c_7]) ).
tff(c_175963,plain,
double_divide(b2,multiply(inverse(b2),b2)) = inverse(b2),
inference(superposition,[status(thm),theory(equality)],[c_175946,c_172166]) ).
tff(c_176354,plain,
double_divide(multiply(b2,b2),inverse(b2)) = inverse(b2),
inference(superposition,[status(thm),theory(equality)],[c_175963,c_145587]) ).
tff(c_171287,plain,
! [Z_9] : ( double_divide(a2,double_divide(a2,multiply(Z_9,multiply(inverse(b2),b2)))) = Z_9 ),
inference(superposition,[status(thm),theory(equality)],[c_171283,c_145587]) ).
tff(c_174044,plain,
! [X_862,Y_863] : ( double_divide(a2,double_divide(a2,X_862)) = double_divide(Y_863,double_divide(Y_863,X_862)) ),
inference(superposition,[status(thm),theory(equality)],[c_173925,c_171287]) ).
tff(c_173943,plain,
! [X_861,Y_860] : ( double_divide(a2,double_divide(a2,X_861)) = double_divide(Y_860,double_divide(Y_860,X_861)) ),
inference(superposition,[status(thm),theory(equality)],[c_173925,c_171287]) ).
tff(c_174056,plain,
! [Y_863,X_862,Y_860] : ( double_divide(Y_863,double_divide(Y_863,X_862)) = double_divide(Y_860,double_divide(Y_860,X_862)) ),
inference(superposition,[status(thm),theory(equality)],[c_174044,c_173943]) ).
tff(c_176746,plain,
! [Y_860] : ( double_divide(multiply(b2,b2),inverse(b2)) = double_divide(Y_860,double_divide(Y_860,inverse(b2))) ),
inference(superposition,[status(thm),theory(equality)],[c_176354,c_174056]) ).
tff(c_177461,plain,
! [Y_894] : ( double_divide(Y_894,double_divide(Y_894,inverse(b2))) = inverse(b2) ),
inference(demodulation,[status(thm),theory(equality)],[c_176354,c_176746]) ).
tff(c_179330,plain,
! [Z_912] : ( double_divide(multiply(inverse(Z_912),b2),Z_912) = inverse(b2) ),
inference(superposition,[status(thm),theory(equality)],[c_176170,c_177461]) ).
tff(c_179381,plain,
! [Z_912,Y_860] : ( double_divide(multiply(inverse(Z_912),b2),inverse(b2)) = double_divide(Y_860,double_divide(Y_860,Z_912)) ),
inference(superposition,[status(thm),theory(equality)],[c_179330,c_174056]) ).
tff(c_179454,plain,
! [Y_860,Z_912] : ( double_divide(Y_860,double_divide(Y_860,Z_912)) = Z_912 ),
inference(demodulation,[status(thm),theory(equality)],[c_176170,c_179381]) ).
tff(c_172025,plain,
! [Z_832] : ( multiply(double_divide(a2,double_divide(a2,Z_832)),multiply(inverse(b2),b2)) = Z_832 ),
inference(superposition,[status(thm),theory(equality)],[c_171283,c_23]) ).
tff(c_172380,plain,
! [Z_839,Z_840] : ( multiply(double_divide(a2,double_divide(a2,Z_839)),multiply(Z_840,inverse(Z_840))) = Z_839 ),
inference(superposition,[status(thm),theory(equality)],[c_171603,c_172025]) ).
tff(c_172419,plain,
! [Z_840,Z_839] : ( multiply(double_divide(inverse(Z_840),double_divide(a2,double_divide(a2,Z_839))),Z_839) = Z_840 ),
inference(superposition,[status(thm),theory(equality)],[c_172380,c_7]) ).
tff(c_180990,plain,
! [Z_925,Z_926] : ( multiply(double_divide(inverse(Z_925),Z_926),Z_926) = Z_925 ),
inference(demodulation,[status(thm),theory(equality)],[c_179454,c_172419]) ).
tff(c_171309,plain,
! [Y_818,X_819,Z_820] : ( multiply(multiply(double_divide(multiply(Y_818,X_819),Z_820),Y_818),X_819) = inverse(Z_820) ),
inference(superposition,[status(thm),theory(equality)],[c_145533,c_4]) ).
tff(c_171383,plain,
! [X_1,Z_9,Y_2] : ( multiply(double_divide(X_1,multiply(Z_9,Y_2)),multiply(Y_2,X_1)) = inverse(Z_9) ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_171309]) ).
tff(c_181061,plain,
! [Z_925] : ( inverse(inverse(Z_925)) = Z_925 ),
inference(superposition,[status(thm),theory(equality)],[c_180990,c_171383]) ).
tff(c_179470,plain,
! [Y_913,Z_914] : ( double_divide(Y_913,double_divide(Y_913,Z_914)) = Z_914 ),
inference(demodulation,[status(thm),theory(equality)],[c_176170,c_179381]) ).
tff(c_179551,plain,
! [Y_913,Z_914] : ( multiply(double_divide(Y_913,Z_914),Y_913) = inverse(Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_179470,c_4]) ).
tff(c_172647,plain,
! [X_844,Z_845,Y_846] : ( multiply(double_divide(X_844,multiply(Z_845,Y_846)),multiply(Y_846,X_844)) = inverse(Z_845) ),
inference(superposition,[status(thm),theory(equality)],[c_29,c_171309]) ).
tff(c_172701,plain,
! [X_844,Z_845,Y_846] : ( multiply(double_divide(X_844,double_divide(X_844,multiply(Z_845,Y_846))),inverse(Z_845)) = Y_846 ),
inference(superposition,[status(thm),theory(equality)],[c_172647,c_7]) ).
tff(c_180046,plain,
! [Z_918,Y_919] : ( multiply(multiply(Z_918,Y_919),inverse(Z_918)) = Y_919 ),
inference(demodulation,[status(thm),theory(equality)],[c_179454,c_172701]) ).
tff(c_180110,plain,
! [Z_914,Y_913] : ( multiply(inverse(Z_914),inverse(double_divide(Y_913,Z_914))) = Y_913 ),
inference(superposition,[status(thm),theory(equality)],[c_179551,c_180046]) ).
tff(c_184988,plain,
! [Z_958,Y_959] : ( multiply(inverse(Z_958),multiply(Z_958,Y_959)) = Y_959 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_180110]) ).
tff(c_179469,plain,
! [Z_845,Y_846] : ( multiply(multiply(Z_845,Y_846),inverse(Z_845)) = Y_846 ),
inference(demodulation,[status(thm),theory(equality)],[c_179454,c_172701]) ).
tff(c_185033,plain,
! [Y_959,Z_958] : ( multiply(Y_959,inverse(inverse(Z_958))) = multiply(Z_958,Y_959) ),
inference(superposition,[status(thm),theory(equality)],[c_184988,c_179469]) ).
tff(c_185278,plain,
! [Z_958,Y_959] : ( multiply(Z_958,Y_959) = multiply(Y_959,Z_958) ),
inference(demodulation,[status(thm),theory(equality)],[c_181061,c_185033]) ).
tff(c_180215,plain,
! [Y_2,X_1,Z_3] : ( multiply(Y_2,inverse(double_divide(X_1,Z_3))) = multiply(Z_3,multiply(Y_2,X_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_180046]) ).
tff(c_180247,plain,
! [Z_3,Y_2,X_1] : ( multiply(Z_3,multiply(Y_2,X_1)) = multiply(Y_2,multiply(Z_3,X_1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_180215]) ).
tff(c_171282,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitRight,[status(thm)],[c_145460]) ).
tff(c_185334,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_185278,c_171282]) ).
tff(c_560220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_185278,c_180247,c_185334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n014.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 : Thu Aug 3 22:13:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 181.52/143.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 181.59/143.86
% 181.59/143.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 181.85/143.92
% 181.85/143.92 Inference rules
% 181.85/143.92 ----------------------
% 181.85/143.92 #Ref : 1
% 181.85/143.92 #Sup : 146376
% 181.85/143.92 #Fact : 0
% 181.85/143.92 #Define : 0
% 181.85/143.92 #Split : 3
% 181.85/143.92 #Chain : 0
% 181.85/143.92 #Close : 0
% 181.85/143.92
% 181.85/143.92 Ordering : KBO
% 181.85/143.92
% 181.85/143.92 Simplification rules
% 181.85/143.92 ----------------------
% 181.85/143.92 #Subsume : 16669
% 181.85/143.92 #Demod : 317386
% 181.85/143.92 #Tautology : 29889
% 181.85/143.92 #SimpNegUnit : 0
% 181.85/143.92 #BackRed : 222
% 181.85/143.92
% 181.85/143.92 #Partial instantiations: 0
% 181.85/143.92 #Strategies tried : 1
% 181.85/143.92
% 181.85/143.92 Timing (in seconds)
% 181.85/143.92 ----------------------
% 181.85/143.92 Preprocessing : 0.42
% 181.85/143.92 Parsing : 0.22
% 181.85/143.92 CNF conversion : 0.02
% 181.85/143.92 Main loop : 142.40
% 181.85/143.92 Inferencing : 11.02
% 181.85/143.92 Reduction : 107.62
% 181.85/143.92 Demodulation : 104.65
% 181.85/143.92 BG Simplification : 1.86
% 181.85/143.92 Subsumption : 14.62
% 181.85/143.92 Abstraction : 3.63
% 181.85/143.92 MUC search : 0.00
% 181.85/143.92 Cooper : 0.00
% 181.85/143.92 Total : 142.91
% 181.85/143.92 Index Insertion : 0.00
% 181.85/143.92 Index Deletion : 0.00
% 181.85/143.92 Index Matching : 0.00
% 181.85/143.92 BG Taut test : 0.00
%------------------------------------------------------------------------------