TSTP Solution File: RNG115+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG115+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 : 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 10:55:00 EDT 2023
% Result : Theorem 159.09s 135.08s
% Output : CNFRefutation 159.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 55
% Syntax : Number of formulae : 92 ( 14 unt; 49 typ; 2 def)
% Number of atoms : 136 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 174 ( 81 ~; 73 |; 13 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 41 >; 47 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 8 con; 0-4 aty)
% Number of variables : 55 (; 50 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aGcdOfAnd0 > misRelativelyPrime0 > iLess0 > doDivides0 > aElementOf0 > aDivisorOf0 > aSet0 > aNaturalNumber0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > slsdtgt0 > sbrdtbr0 > xu > xc > xb > xa > xI > sz10 > sz00 > #skF_22 > #skF_6 > #skF_17 > #skF_20 > #skF_4 > #skF_8 > #skF_14 > #skF_15 > #skF_18 > #skF_23 > #skF_5 > #skF_19 > #skF_7 > #skF_9 > #skF_13 > #skF_11 > #skF_3 > #skF_2 > #skF_24 > #skF_12 > #skF_1 > #skF_16 > #skF_21 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(xa,type,
xa: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sz00,type,
sz00: $i ).
tff(misRelativelyPrime0,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff(xu,type,
xu: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(aIdeal0,type,
aIdeal0: $i > $o ).
tff(xI,type,
xI: $i ).
tff(xc,type,
xc: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(slsdtgt0,type,
slsdtgt0: $i > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff(aGcdOfAnd0,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(xb,type,
xb: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_352,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
tff(f_345,definition,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( W1 = slsdtgt0(W0) )
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& ( sdtasdt0(W0,W3) = W2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
tff(f_172,definition,
! [W0,W1] :
( ( aSet0(W0)
& aSet0(W1) )
=> ! [W2] :
( ( W2 = sdtpldt1(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ? [W4,W5] :
( aElementOf0(W4,W0)
& aElementOf0(W5,W1)
& ( sdtpldt0(W4,W5) = W3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
tff(f_397,negated_conjecture,
~ ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& ( xu = sdtpldt0(W0,W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_361,hypothesis,
( aIdeal0(xI)
& ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
tff(f_386,hypothesis,
( aElementOf0(xu,xI)
& ( xu != sz00 )
& ! [W0] :
( ( aElementOf0(W0,xI)
& ( W0 != sz00 ) )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
tff(c_210,plain,
aElement0(xa),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_188,plain,
! [W0_181] :
( aSet0(slsdtgt0(W0_181))
| ~ aElement0(W0_181) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_86,plain,
! [W0_35,W1_36,W2_74] :
( aElementOf0('#skF_4'(W0_35,W1_36,W2_74),W0_35)
| aElementOf0('#skF_6'(W0_35,W1_36,W2_74),W2_74)
| ( sdtpldt1(W0_35,W1_36) = W2_74 )
| ~ aSet0(W2_74)
| ~ aSet0(W1_36)
| ~ aSet0(W0_35) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_21973,plain,
! [W0_574,W1_575,W2_576] :
( ( sdtpldt0('#skF_4'(W0_574,W1_575,W2_576),'#skF_5'(W0_574,W1_575,W2_576)) = '#skF_3'(W0_574,W1_575,W2_576) )
| aElementOf0('#skF_6'(W0_574,W1_575,W2_576),W2_576)
| ( sdtpldt1(W0_574,W1_575) = W2_576 )
| ~ aSet0(W2_576)
| ~ aSet0(W1_575)
| ~ aSet0(W0_574) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_240,plain,
! [W0_223,W1_224] :
( ( sdtpldt0(W0_223,W1_224) != xu )
| ~ aElementOf0(W1_224,slsdtgt0(xb))
| ~ aElementOf0(W0_223,slsdtgt0(xa)) ),
inference(cnfTransformation,[status(thm)],[f_397]) ).
tff(c_22128,plain,
! [W0_577,W1_578,W2_579] :
( ( '#skF_3'(W0_577,W1_578,W2_579) != xu )
| ~ aElementOf0('#skF_5'(W0_577,W1_578,W2_579),slsdtgt0(xb))
| ~ aElementOf0('#skF_4'(W0_577,W1_578,W2_579),slsdtgt0(xa))
| aElementOf0('#skF_6'(W0_577,W1_578,W2_579),W2_579)
| ( sdtpldt1(W0_577,W1_578) = W2_579 )
| ~ aSet0(W2_579)
| ~ aSet0(W1_578)
| ~ aSet0(W0_577) ),
inference(superposition,[status(thm),theory(equality)],[c_21973,c_240]) ).
tff(c_22132,plain,
! [W1_36,W2_74] :
( ( '#skF_3'(slsdtgt0(xa),W1_36,W2_74) != xu )
| ~ aElementOf0('#skF_5'(slsdtgt0(xa),W1_36,W2_74),slsdtgt0(xb))
| aElementOf0('#skF_6'(slsdtgt0(xa),W1_36,W2_74),W2_74)
| ( sdtpldt1(slsdtgt0(xa),W1_36) = W2_74 )
| ~ aSet0(W2_74)
| ~ aSet0(W1_36)
| ~ aSet0(slsdtgt0(xa)) ),
inference(resolution,[status(thm)],[c_86,c_22128]) ).
tff(c_22350,plain,
~ aSet0(slsdtgt0(xa)),
inference(splitLeft,[status(thm)],[c_22132]) ).
tff(c_22353,plain,
~ aElement0(xa),
inference(resolution,[status(thm)],[c_188,c_22350]) ).
tff(c_22360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_210,c_22353]) ).
tff(c_22362,plain,
aSet0(slsdtgt0(xa)),
inference(splitRight,[status(thm)],[c_22132]) ).
tff(c_208,plain,
aElement0(xb),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_68,plain,
! [W0_35,W1_36,W3_99] :
( aElementOf0('#skF_8'(W0_35,W1_36,sdtpldt1(W0_35,W1_36),W3_99),W1_36)
| ~ aElementOf0(W3_99,sdtpldt1(W0_35,W1_36))
| ~ aSet0(W1_36)
| ~ aSet0(W0_35) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_20018,plain,
! [W0_541,W1_542,W3_543] :
( ( sdtpldt0('#skF_7'(W0_541,W1_542,sdtpldt1(W0_541,W1_542),W3_543),'#skF_8'(W0_541,W1_542,sdtpldt1(W0_541,W1_542),W3_543)) = W3_543 )
| ~ aElementOf0(W3_543,sdtpldt1(W0_541,W1_542))
| ~ aSet0(W1_542)
| ~ aSet0(W0_541) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_20340,plain,
! [W3_544,W0_545,W1_546] :
( ( xu != W3_544 )
| ~ aElementOf0('#skF_8'(W0_545,W1_546,sdtpldt1(W0_545,W1_546),W3_544),slsdtgt0(xb))
| ~ aElementOf0('#skF_7'(W0_545,W1_546,sdtpldt1(W0_545,W1_546),W3_544),slsdtgt0(xa))
| ~ aElementOf0(W3_544,sdtpldt1(W0_545,W1_546))
| ~ aSet0(W1_546)
| ~ aSet0(W0_545) ),
inference(superposition,[status(thm),theory(equality)],[c_20018,c_240]) ).
tff(c_20348,plain,
! [W3_99,W0_35] :
( ( xu != W3_99 )
| ~ aElementOf0('#skF_7'(W0_35,slsdtgt0(xb),sdtpldt1(W0_35,slsdtgt0(xb)),W3_99),slsdtgt0(xa))
| ~ aElementOf0(W3_99,sdtpldt1(W0_35,slsdtgt0(xb)))
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(W0_35) ),
inference(resolution,[status(thm)],[c_68,c_20340]) ).
tff(c_20656,plain,
~ aSet0(slsdtgt0(xb)),
inference(splitLeft,[status(thm)],[c_20348]) ).
tff(c_20659,plain,
~ aElement0(xb),
inference(resolution,[status(thm)],[c_188,c_20656]) ).
tff(c_20666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208,c_20659]) ).
tff(c_20668,plain,
aSet0(slsdtgt0(xb)),
inference(splitRight,[status(thm)],[c_20348]) ).
tff(c_216,plain,
sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_7619,plain,
! [W0_384,W1_385,W3_386] :
( aElementOf0('#skF_7'(W0_384,W1_385,sdtpldt1(W0_384,W1_385),W3_386),W0_384)
| ~ aElementOf0(W3_386,sdtpldt1(W0_384,W1_385))
| ~ aSet0(W1_385)
| ~ aSet0(W0_384) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_7633,plain,
! [W3_386] :
( aElementOf0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_386),slsdtgt0(xa))
| ~ aElementOf0(W3_386,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa)) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_7619]) ).
tff(c_7637,plain,
! [W3_386] :
( aElementOf0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_386),slsdtgt0(xa))
| ~ aElementOf0(W3_386,xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa)) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_7633]) ).
tff(c_106611,plain,
! [W3_386] :
( aElementOf0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_386),slsdtgt0(xa))
| ~ aElementOf0(W3_386,xI) ),
inference(demodulation,[status(thm),theory(equality)],[c_22362,c_20668,c_7637]) ).
tff(c_7819,plain,
! [W0_389,W1_390,W3_391] :
( aElementOf0('#skF_8'(W0_389,W1_390,sdtpldt1(W0_389,W1_390),W3_391),W1_390)
| ~ aElementOf0(W3_391,sdtpldt1(W0_389,W1_390))
| ~ aSet0(W1_390)
| ~ aSet0(W0_389) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_7833,plain,
! [W3_391] :
( aElementOf0('#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_391),slsdtgt0(xb))
| ~ aElementOf0(W3_391,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa)) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_7819]) ).
tff(c_7837,plain,
! [W3_391] :
( aElementOf0('#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_391),slsdtgt0(xb))
| ~ aElementOf0(W3_391,xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa)) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_7833]) ).
tff(c_108698,plain,
! [W3_391] :
( aElementOf0('#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_391),slsdtgt0(xb))
| ~ aElementOf0(W3_391,xI) ),
inference(demodulation,[status(thm),theory(equality)],[c_22362,c_20668,c_7837]) ).
tff(c_20083,plain,
! [W3_543] :
( ( sdtpldt0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),W3_543),'#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_543)) = W3_543 )
| ~ aElementOf0(W3_543,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa)) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_20018]) ).
tff(c_20087,plain,
! [W3_543] :
( ( sdtpldt0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_543),'#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_543)) = W3_543 )
| ~ aElementOf0(W3_543,xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa)) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_216,c_20083]) ).
tff(c_191964,plain,
! [W3_1348] :
( ( sdtpldt0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_1348),'#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_1348)) = W3_1348 )
| ~ aElementOf0(W3_1348,xI) ),
inference(demodulation,[status(thm),theory(equality)],[c_22362,c_20668,c_20087]) ).
tff(c_192160,plain,
! [W3_1349] :
( ( xu != W3_1349 )
| ~ aElementOf0('#skF_8'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_1349),slsdtgt0(xb))
| ~ aElementOf0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_1349),slsdtgt0(xa))
| ~ aElementOf0(W3_1349,xI) ),
inference(superposition,[status(thm),theory(equality)],[c_191964,c_240]) ).
tff(c_193267,plain,
! [W3_1354] :
( ( xu != W3_1354 )
| ~ aElementOf0('#skF_7'(slsdtgt0(xa),slsdtgt0(xb),xI,W3_1354),slsdtgt0(xa))
| ~ aElementOf0(W3_1354,xI) ),
inference(resolution,[status(thm)],[c_108698,c_192160]) ).
tff(c_193278,plain,
~ aElementOf0(xu,xI),
inference(resolution,[status(thm)],[c_106611,c_193267]) ).
tff(c_236,plain,
aElementOf0(xu,xI),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_193280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193278,c_236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG115+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
% 0.13/0.35 % Computer : n021.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 17:58:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 159.09/135.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 159.09/135.09
% 159.09/135.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 159.16/135.13
% 159.16/135.13 Inference rules
% 159.16/135.13 ----------------------
% 159.16/135.13 #Ref : 0
% 159.16/135.13 #Sup : 45056
% 159.16/135.13 #Fact : 0
% 159.16/135.13 #Define : 0
% 159.16/135.13 #Split : 87
% 159.16/135.13 #Chain : 0
% 159.16/135.13 #Close : 0
% 159.16/135.13
% 159.16/135.13 Ordering : KBO
% 159.16/135.13
% 159.16/135.13 Simplification rules
% 159.16/135.13 ----------------------
% 159.16/135.13 #Subsume : 8896
% 159.16/135.13 #Demod : 107381
% 159.16/135.13 #Tautology : 8509
% 159.16/135.13 #SimpNegUnit : 361
% 159.16/135.13 #BackRed : 146
% 159.16/135.13
% 159.16/135.13 #Partial instantiations: 0
% 159.16/135.13 #Strategies tried : 1
% 159.16/135.13
% 159.16/135.13 Timing (in seconds)
% 159.16/135.13 ----------------------
% 159.16/135.13 Preprocessing : 0.69
% 159.16/135.13 Parsing : 0.32
% 159.16/135.13 CNF conversion : 0.07
% 159.16/135.13 Main loop : 133.50
% 159.16/135.13 Inferencing : 6.87
% 159.16/135.13 Reduction : 103.29
% 159.16/135.13 Demodulation : 97.85
% 159.16/135.13 BG Simplification : 0.38
% 159.16/135.13 Subsumption : 19.77
% 159.16/135.13 Abstraction : 0.61
% 159.16/135.13 MUC search : 0.00
% 159.16/135.13 Cooper : 0.00
% 159.16/135.13 Total : 134.25
% 159.16/135.13 Index Insertion : 0.00
% 159.16/135.13 Index Deletion : 0.00
% 159.16/135.13 Index Matching : 0.00
% 159.16/135.13 BG Taut test : 0.00
%------------------------------------------------------------------------------