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KB Term:  Term intersection
English Word: 

Sigma KEE - lessThan
lessThan

appearance as argument number 1
-------------------------


(documentation lessThan ChineseLanguage "(lessThan ?NUMBER1 ?NUMBER2) 是真的 以防 ?NUMBER1 的 Quantity 比 ?NUMBER2 的 Quantity 要少。") chinese_format.kif 1729-1730
(documentation lessThan EnglishLanguage "(lessThan ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is less than the Quantity ?NUMBER2.") Merge.kif 1753-1754
(domain lessThan 1 Quantity) Merge.kif 1750-1750
(domain lessThan 2 Quantity) Merge.kif 1751-1751
(instance lessThan BinaryPredicate) Merge.kif 1745-1745
(instance lessThan IrreflexiveRelation) Merge.kif 1747-1747
(instance lessThan RelationExtendedToQuantities) Merge.kif 1748-1748
(instance lessThan TransitiveRelation) Merge.kif 1746-1746
(trichotomizingOn lessThan RealNumber) Merge.kif 1749-1749

appearance as argument number 2
-------------------------


(format ChineseLanguage lessThan "%1 %n 是 lessThan %2") chinese_format.kif 141-141
(format EnglishLanguage lessThan "%1 is %n less than %2") english_format.kif 142-142
(inverse greaterThan lessThan) Merge.kif 1764-1764
(termFormat ChineseLanguage lessThan "少于") chinese_format.kif 142-142
(termFormat ChineseTraditionalLanguage lessThan "少於") domainEnglishFormat.kif 34127-34127
(termFormat EnglishLanguage lessThan "less than") domainEnglishFormat.kif 34126-34126

antecedent
-------------------------


(<=>
    (and
        (instance ?LD LiquidDrop)
        (approximateDiameter ?LD
            (MeasureFn ?S Micrometer))
        (lessThan 500 ?S))
    (instance ?LD Droplet))
Geography.kif 7082-7088
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option CallOption)
            (underlier ?Option ?Stock)
            (price ?Stock
                (MeasureFn ?StockPrice ?U) ?Time)
            (instance ?U UnitOfCurrency)
            (strikePrice ?Option
                (MeasureFn ?StrikePrice ?U))
            (lessThan ?StockPrice ?StrikePrice)))
    (outOfTheMoney ?Option ?Time))
FinancialOntology.kif 2991-3002
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option CallOption)
            (underlier ?Option ?Stock)
            (price ?Stock
                (MeasureFn ?StockPrice ?U) ?Time)
            (instance ?U UnitOfCurrency)
            (strikePrice ?Option
                (MeasureFn ?StrikePrice ?U))
            (lessThan ?StrikePrice ?StockPrice)))
    (inTheMoney ?Option ?Time))
FinancialOntology.kif 2942-2953
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option PutOption)
            (underlier ?Option ?Stock)
            (price ?Stock
                (MeasureFn ?StockPrice ?U) ?Time)
            (instance ?U UnitOfCurrency)
            (strikePrice ?Option
                (MeasureFn ?StrikePrice ?U))
            (lessThan ?StockPrice ?StrikePrice)))
    (inTheMoney ?Option ?Time))
FinancialOntology.kif 2955-2966
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option PutOption)
            (underlier ?Option ?Stock)
            (price ?Stock
                (MeasureFn ?StockPrice ?U) ?Time)
            (instance ?U UnitOfCurrency)
            (strikePrice ?Option
                (MeasureFn ?StrikePrice ?U))
            (lessThan ?StrikePrice ?StockPrice)))
    (outOfTheMoney ?Option ?Time))
FinancialOntology.kif 3004-3015
(=>
    (and
        (currentAccountBalance ?Account ?Date
            (MeasureFn ?Balance UnitedStatesDollar))
        (lessThan ?Balance 0)
        (equal ?Overdraft
            (SubtractionFn 0 ?Balance)))
    (overdraft ?Account
        (MeasureFn ?Overdraft UnitedStatesDollar) ?Date))
FinancialOntology.kif 742-747
(=>
    (and
        (equal ?OUT
            (ReverseFn ?IN))
        (equal ?LEN
            (StringLengthFn ?IN))
        (greaterThan ?LEN 1)
        (greaterThan ?N 0)
        (lessThan ?N ?LEN)
        (equal ?PIVOT
            (CeilingFn
                (DivisionFn
                    (SubtractionFn ?LEN 1) 2)))
        (equal ?NEW
            (AdditionFn
                (SubtractionFn ?PIVOT ?N) ?PIVOT))
        (equal ?S
            (SubstringFn ?IN ?N
                (AdditionFn 1 ?N))))
    (equal ?S
        (SubstringFn ?OUT ?NEW
            (AdditionFn 1 ?NEW))))
Media.kif 3038-3059
(=>
    (and
        (instance ?Account FinancialAccount)
        (minimumBalance ?Account UsingAnAccount
            (MeasureFn ?Balance ?U))
        (instance ?U UnitOfCurrency)
        (currentAccountBalance ?Account ?Date
            (MeasureFn ?Amount ?U))
        (lessThan ?Amount ?Balance))
    (exists (?Penalty)
        (and
            (instance ?Penalty Penalty)
            (date ?Penalty ?Date)
            (destination ?Penalty
                (CurrencyFn ?Account)))))
FinancialOntology.kif 661-674
(=>
    (and
        (instance ?Account LiabilityAccount)
        (minimumPayment ?Account
            (MeasureFn ?MinPayment ?U) MonthDuration)
        (instance ?U UnitOfCurrency)
        (exists (?Payment ?Month)
            (and
                (instance ?Month Month)
                (destination ?Payment
                    (CurrencyFn ?Account))
                (paymentsPerPeriod ?Account
                    (MeasureFn ?Amount ?U) ?Month)
                (lessThan ?Amount ?MinPayment))))
    (exists (?Penalty)
        (and
            (instance ?Penalty Penalty)
            (destination ?Penalty
                (CurrencyFn ?Account)))))
FinancialOntology.kif 718-734
(=>
    (and
        (instance ?H Human)
        (holdsDuring ?T1
            (age ?H
                (MeasureFn ?N YearDuration)))
        (greaterThan ?N 12)
        (lessThan ?N 20))
    (holdsDuring ?T1
        (instance ?H Teenager)))
Mid-level-ontology.kif 320-326
(=>
    (and
        (instance ?H Human)
        (holdsDuring ?T1
            (age ?H
                (MeasureFn ?N YearDuration)))
        (lessThan ?N 18))
    (holdsDuring ?T1
        (instance ?H HumanYouth)))
Mid-level-ontology.kif 255-260
(=>
    (and
        (instance ?SUBSTANCE ?TYPE)
        (boilingPoint ?TYPE
            (MeasureFn ?TEMP1 ?MEASURE))
        (meltingPoint ?TYPE
            (MeasureFn ?TEMP2 ?MEASURE))
        (instance ?MEASURE UnitOfTemperature)
        (holdsDuring ?TIME
            (measure ?SUBSTANCE
                (MeasureFn ?TEMP3 ?MEASURE)))
        (greaterThan ?TEMP3 ?TEMP2)
        (lessThan ?TEMP3 ?TEMP1))
    (or
        (holdsDuring ?TIME
            (attribute ?SUBSTANCE Liquid))
        (exists (?MELT)
            (and
                (overlapsTemporally
                    (WhenFn ?MELT) ?TIME)
                (instance ?MELT Melting)
                (patient ?MELT ?SUBSTANCE)))))
Merge.kif 13199-13214
(=>
    (and
        (instance ?SUBSTANCE ?TYPE)
        (meltingPoint ?TYPE
            (MeasureFn ?TEMP1 ?MEASURE))
        (holdsDuring ?TIME
            (measure ?SUBSTANCE
                (MeasureFn ?TEMP2 ?MEASURE)))
        (instance ?MEASURE UnitOfTemperature)
        (lessThan ?TEMP2 ?TEMP1))
    (or
        (holdsDuring ?TIME
            (attribute ?SUBSTANCE Solid))
        (exists (?FREEZE)
            (and
                (overlapsTemporally
                    (WhenFn ?FREEZE) ?TIME)
                (instance ?FREEZE Freezing)
                (patient ?FREEZE ?SUBSTANCE)))))
Merge.kif 13216-13229
(=>
    (and
        (instance ?WATERWAY Waterway)
        (depth ?OBJ ?WATERWAY
            (MeasureFn ?DEPTH ?UNIT))
        (instance ?UNIT UnitOfLength)
        (lessThan ?DRAFT ?DEPTH))
    (navigableForDraft ?WATERWAY
        (MeasureFn ?DRAFT ?UNIT)))
Transportation.kif 2674-2680
(=>
    (and
        (instance ?X ?Y)
        (subclass ?Y PureSubstance)
        (boilingPoint ?Y
            (MeasureFn ?BOIL KelvinDegree))
        (meltingPoint ?Y
            (MeasureFn ?MELT KelvinDegree))
        (measure ?X
            (MeasureFn ?TEMP KelvinDegree))
        (greaterThan ?TEMP ?MELT)
        (lessThan ?TEMP ?BOIL))
    (attribute ?X Liquid))
Merge.kif 13145-13154
(=>
    (and
        (instance ?X ?Y)
        (subclass ?Y PureSubstance)
        (meltingPoint ?Y
            (MeasureFn ?MELT KelvinDegree))
        (barometricPressure ?X
            (MeasureFn ?PRES InchMercury))
        (greaterThan ?PRES 29.92)
        (measure ?X
            (MeasureFn ?TEMP KelvinDegree))
        (lessThan ?TEMP ?MELT))
    (attribute ?X Solid))
Merge.kif 13156-13165
(=>
    (and
        (processList @ROW)
        (inList ?Process1
            (ListFn @ROW))
        (inList ?Process2
            (ListFn @ROW))
        (equal
            (ListOrderFn
                (ListFn @ROW) ?Number1) ?Process1)
        (equal
            (ListOrderFn
                (ListFn @ROW) ?Number2) ?Process2)
        (lessThan ?Number1 ?Number2))
    (earlier
        (WhenFn ?Process1)
        (WhenFn ?Process2)))
QoSontology.kif 692-708
(=>
    (and
        (productPrice ?ENT
            (MeasureFn ?PRICE1 ?U) ?AGENT)
        (instance ?U UnitOfCurrency)
        (publishedPrice ?ENT
            (MeasureFn ?PRICE2 ?U) ?AGENT ?PS)
        (validFor ?PS ?CUSTCLASS)
        (instance ?ITEM ?ENT)
        (instance ?B Buying)
        (immediateInstance ?CUST ?CUSTCLASS)
        (agent ?B ?CUST)
        (origin ?B ?AGENT)
        (lessThan ?PRICE2 ?PRICE1))
    (modalAttribute
        (transactionAmount ?B ?PRICE1) Likely))
Catalog.kif 421-436
(=>
    (holdsDuring ?T
        (and
            (minDeviceOperatingTemp ?D
                (MeasureFn ?T1 ?U))
            (instance ?U UnitOfTemperature)
            (located ?D ?A)
            (attribute ?D DeviceOn)
            (airTemperature ?A
                (MeasureFn ?T2 ?U))
            (lessThan ?T2 ?T1)))
    (modalAttribute
        (holdsDuring
            (ImmediateFutureFn ?T)
            (attribute ?D DeviceDamaged)) Likely))
ComputingBrands.kif 3653-3666
(=>
    (holdsDuring ?T
        (and
            (minDeviceStorageTemp ?D
                (MeasureFn ?T1 ?U))
            (instance ?U UnitOfTemperature)
            (located ?D ?A)
            (attribute ?D DeviceOff)
            (airTemperature ?A
                (MeasureFn ?T2 ?U))
            (lessThan ?T2 ?T1)))
    (modalAttribute
        (holdsDuring
            (ImmediateFutureFn ?T)
            (attribute ?D DeviceDamaged)) Likely))
ComputingBrands.kif 3679-3692

consequent
-------------------------


(<=>
    (equal
        (DeathsPerThousandLiveBirthsFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (and
        (equal ?BIRTHCOUNT
            (CardinalityFn
                (KappaFn ?BIRTH
                    (and
                        (instance ?BIRTH Birth)
                        (experiencer ?BIRTH ?INFANT)
                        (instance ?INFANT Human)
                        (during
                            (WhenFn ?BIRTH)
                            (YearFn ?YEAR))
                        (equal
                            (WhereFn ?BIRTH
                                (WhenFn ?BIRTH)) ?AREA)))))
        (equal
            (DivisionFn ?BIRTHCOUNT 1000) ?THOUSANDSOFBIRTHS)
        (equal ?INFANTDEATHCOUNT
            (CardinalityFn
                (KappaFn ?DEATH
                    (and
                        (instance ?DEATH Death)
                        (experiencer ?DEATH ?INFANT)
                        (instance ?INFANT Human)
                        (age ?INFANT
                            (MeasureFn ?AGE YearDuration))
                        (lessThan ?AGE 1)
                        (during
                            (WhenFn ?DEATH)
                            (YearFn ?YEAR))
                        (equal
                            (WhereFn ?DEATH
                                (WhenFn ?DEATH)) ?AREA)))))
        (equal
            (DivisionFn ?INFANTDEATHCOUNT ?THOUSANDSOFBIRTHS) ?REALNUMBER)))
People.kif 253-277
(<=>
    (instance ?NUMBER NegativeRealNumber)
    (and
        (lessThan ?NUMBER 0)
        (instance ?NUMBER RealNumber)))
Merge.kif 1862-1866
(<=>
    (lessThanOrEqualTo ?NUMBER1 ?NUMBER2)
    (or
        (equal ?NUMBER1 ?NUMBER2)
        (lessThan ?NUMBER1 ?NUMBER2)))
Merge.kif 1781-1785
(=>
    (and
        (attribute ?P CollegeFreshman)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring
                (MeasureFn ?T YearDuration)
                (student ?H ?ORG))
            (lessThan ?T 1))))
Mid-level-ontology.kif 17143-17152
(=>
    (and
        (attribute ?P CollegeJunior)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring
                (MeasureFn ?T YearDuration)
                (student ?H ?ORG))
            (greaterThanOrEqualTo ?T 2)
            (lessThan ?T 3))))
Mid-level-ontology.kif 17158-17168
(=>
    (and
        (attribute ?P CollegeSenior)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring
                (MeasureFn ?T YearDuration)
                (student ?H ?ORG))
            (greaterThanOrEqualTo ?T 3)
            (lessThan ?T 4))))
Mid-level-ontology.kif 17174-17184
(=>
    (and
        (attribute ?P CollegeSophomore)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring
                (MeasureFn ?T YearDuration)
                (student ?H ?ORG))
            (greaterThanOrEqualTo ?T 1)
            (lessThan ?T 2))))
Mid-level-ontology.kif 17190-17200
(=>
    (and
        (conditionalProbability
            (attribute ?X ComfortFood)
            (attribute ?X HeartHealthyFood) ?NUMBER1)
        (conditionalProbability
            (attribute ?X ComfortFood)
            (not
                (attribute ?X HeartHealthyFood)) ?NUMBER2))
    (lessThan ?NUMBER1 ?NUMBER2))
Dining.kif 1101-1109
(=>
    (and
        (dayPhone ?Number ?Agent)
        (instance ?Day Day))
    (exists (?Phone)
        (and
            (phoneNumber ?Number ?Phone)
            (holdsDuring
                (HourFn ?Number ?Day)
                (possesses ?Agent ?Phone))
            (lessThan ?Number 18))))
FinancialOntology.kif 3632-3640
(=>
    (and
        (decreasesLikelihood ?FORMULA1 ?FORMULA2)
        (equal
            (ProbabilityFn ?FORMULA2) ?NUMBER1)
        (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
    (lessThan ?NUMBER2 ?NUMBER1))
Merge.kif 2531-2536
(=>
    (and
        (defaultMeasure ?OBJECT
            (MeasureFn ?Q ?UNIT))
        (instance ?UNIT CompositeUnitOfMeasure))
    (modalAttribute
        (exists (?INST ?QUANTITY)
            (and
                (instance ?INST ?OBJECT)
                (measure ?INST
                    (MeasureFn ?QUANTITY ?UNIT))
                (lessThan ?QUANTITY
                    (MultiplicationFn ?Q .5)))) Unlikely))
Mid-level-ontology.kif 12169-12178
(=>
    (and
        (defaultMinimumMeasure ?OBJECT
            (MeasureFn ?Q ?UNIT))
        (instance ?UNIT CompositeUnitOfMeasure))
    (modalAttribute
        (exists (?INST ?QUANTITY)
            (and
                (instance ?INST ?OBJECT)
                (measure ?INST
                    (MeasureFn ?QUANTITY ?UNIT))
                (lessThan ?QUANTITY ?Q))) Unlikely))
Mid-level-ontology.kif 12097-12106
(=>
    (and
        (defaultMinimumMeasure ?OBJECT
            (MeasureFn ?Q ?UNIT1))
        (subclass ?UNITCLASS NonCompositeUnitOfMeasure)
        (instance ?UNIT1 ?UNITCLASS))
    (modalAttribute
        (exists (?INST ?QUANTITY ?UNIT2)
            (and
                (instance ?INST ?OBJECT)
                (measure ?INST
                    (MeasureFn ?QUANTITY ?UNIT2))
                (instance ?UNIT2 ?UNITCLASS)
                (lessThan ?QUANTITY ?Q))) Unlikely))
Mid-level-ontology.kif 12108-12119
(=>
    (and
        (defaultMinimumSphereRadius ?OBJECT
            (MeasureFn ?R ?U))
        (instance ?INST ?OBJECT)
        (attribute ?INST Sphere))
    (modalAttribute
        (and
            (sphereRadius ?INST
                (MeasureFn ?RADIUS ?U))
            (lessThan ?RADIUS ?R)) Unlikely))
Mid-level-ontology.kif 12059-12068
(=>
    (and
        (instance ?A AcuteAngle)
        (angularMeasure ?A
            (MeasureFn ?N AngularDegree)))
    (lessThan ?N 90))
Mid-level-ontology.kif 4575-4579
(=>
    (and
        (instance ?AGENT Agent)
        (potentialCustomer ?CUST ?AGENT)
        (modalAttribute
            (and
                (instance ?R Reserving)
                (destination ?R ?AGENT)) Necessity)
        (conditionalProbability
            (exists (?RES1)
                (and
                    (instance ?RES1 Reservation)
                    (reservingEntity ?CUST ?RES1)
                    (fulfillingEntity ?AGENT ?RES1)))
            (customer ?CUST ?AGENT) ?NUM1)
        (conditionalProbability
            (not
                (exists (?RES2)
                    (and
                        (instance ?RES2 Reservation)
                        (reservingEntity ?CUST ?RES2)
                        (fulfillingEntity ?AGENT ?RES2))))
            (customer ?CUST ?AGENT) ?NUM2))
    (lessThan ?NUM2 ?NUM1))
Dining.kif 725-748
(=>
    (and
        (instance ?AIRPORT Airport)
        (attribute ?AIRPORT VeryShortRunwayAirport))
    (exists (?RUNWAY ?LENGTH)
        (and
            (instance ?RUNWAY Runway)
            (part ?RUNWAY ?AIRPORT)
            (length ?RUNWAY
                (MeasureFn ?LENGTH Meter))
            (lessThan ?LENGTH 914))))
Transportation.kif 1391-1400
(=>
    (and
        (instance ?AREA GeographicArea)
        (geographicSubregion
            (ElevationLowPointFn ?AREA) ?AREA)
        (instance ?U UnitOfLength)
        (elevation
            (ElevationLowPointFn ?AREA)
            (MeasureFn ?ELEV1 ?U)))
    (not
        (exists (?OTHER ?ELEV2)
            (and
                (geographicSubregion ?OTHER ?AREA)
                (not
                    (equal ?OTHER
                        (ElevationLowPointFn ?AREA)))
                (elevation ?OTHER
                    (MeasureFn ?ELEV2 ?U))
                (lessThan ?ELEV2 ?ELEV1)))))
Geography.kif 1911-1925
(=>
    (and
        (instance ?AREA GeographicArea)
        (instance ?WEATHER ClearWeather)
        (eventLocated ?WEATHER ?AREA)
        (cloudCoverFraction ?AREA ?FRACTION))
    (lessThan ?FRACTION 0.3))
Weather.kif 892-898
(=>
    (and
        (instance ?AREA GeographicArea)
        (instance ?WEATHER ClearWeather)
        (eventLocated ?WEATHER ?AREA))
    (exists (?FRACTION)
        (and
            (cloudCoverFraction ?AREA ?FRACTION)
            (lessThan ?FRACTION 0.3))))
Weather.kif 882-890
(=>
    (and
        (instance ?BOTTLE Bottle)
        (bottom ?BOTTOM ?BOTTLE)
        (top ?TOP ?BOTTLE)
        (instance ?U UnitOfLength)
        (width ?BOTTOM
            (MeasureFn ?WIDTH1 ?U))
        (width ?TOP
            (MeasureFn ?WIDTH2 ?U)))
    (lessThan ?WIDTH2 ?WIDTH1))
Mid-level-ontology.kif 4412-4422
(=>
    (and
        (instance ?COOL Cooling)
        (patient ?COOL ?OBJ))
    (exists (?UNIT ?QUANT1 ?QUANT2)
        (and
            (instance ?UNIT TemperatureMeasure)
            (holdsDuring
                (BeginFn
                    (WhenFn ?COOL))
                (equal
                    (MeasureFn ?OBJ ?UNIT) ?QUANT1))
            (holdsDuring
                (EndFn
                    (WhenFn ?COOL))
                (equal
                    (MeasureFn ?OBJ ?UNIT) ?QUANT2))
            (lessThan ?QUANT2 ?QUANT1))))
Merge.kif 10484-10497
(=>
    (and
        (instance ?Compression DataCompression)
        (dataProcessed ?Compression ?Data)
        (holdsDuring
            (ImmediatePastFn
                (WhenFn ?Compression))
            (memorySize ?Data
                (MeasureFn ?Memory ?Measure)))
        (holdsDuring
            (ImmediateFutureFn
                (WhenFn ?Compression))
            (memorySize ?Data
                (MeasureFn ?NewMemory ?Measure))))
    (lessThan ?NewMemory ?Memory))
QoSontology.kif 1932-1946
(=>
    (and
        (instance ?D DeliveryService)
        (destination ?D ?LOC1)
        (deliveryRegion ?AGENT ?REGION)
        (conditionalProbability
            (located ?LOC1 ?REGION)
            (agent ?D ?AGENT) ?NUMBER1)
        (conditionalProbability
            (not
                (located ?LOC1 ?REGION))
            (agent ?D ?AGENT) ?NUMBER2))
    (lessThan ?NUMBER2 ?NUMBER1))
Dining.kif 507-516
(=>
    (and
        (instance ?DECREASE Decreasing)
        (patient ?DECREASE ?OBJ))
    (exists (?UNIT ?QUANT1 ?QUANT2)
        (and
            (holdsDuring
                (BeginFn
                    (WhenFn ?DECREASE))
                (equal
                    (MeasureFn ?OBJ ?UNIT) ?QUANT1))
            (holdsDuring
                (EndFn
                    (WhenFn ?DECREASE))
                (equal
                    (MeasureFn ?OBJ ?UNIT) ?QUANT2))
            (lessThan ?QUANT2 ?QUANT1))))
Merge.kif 10464-10477

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25

statement
-------------------------


(not
    (exists (?PATH1 ?PATH2)
        (and
            (instance ?PATH1
                (CutSetFn ?GRAPH))
            (instance ?PATH2
                (MinimalCutSetFn ?GRAPH))
            (pathLength ?PATH1 ?NUMBER1)
            (pathLength ?PATH2 ?NUMBER2)
            (lessThan ?NUMBER1 ?NUMBER2))))
Merge.kif 5839-5846


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Sigma version 3.0 is open source software produced by Articulate Software and its partners