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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 1747-1748
(domain lessThan 1 Quantity) Merge.kif 1744-1744
(domain lessThan 2 Quantity) Merge.kif 1745-1745
(instance lessThan BinaryPredicate) Merge.kif 1739-1739
(instance lessThan IrreflexiveRelation) Merge.kif 1741-1741
(instance lessThan RelationExtendedToQuantities) Merge.kif 1742-1742
(instance lessThan TransitiveRelation) Merge.kif 1740-1740
(trichotomizingOn lessThan RealNumber) Merge.kif 1743-1743

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 1758-1758
(termFormat ChineseLanguage lessThan "少于") chinese_format.kif 142-142
(termFormat ChineseTraditionalLanguage lessThan "少於") domainEnglishFormat.kif 34059-34059
(termFormat EnglishLanguage lessThan "less than") domainEnglishFormat.kif 34058-34058

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


(<=>
    (and
        (instance ?LD LiquidDrop)
        (approximateDiameter ?LD
            (MeasureFn ?S Micrometer))
        (lessThan 500 ?S))
    (instance ?LD Droplet))		 Geography.kif 6890-6896
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option CallOption)
            (underlier ?Option ?Stock)
            (price ?Stock ?StockPrice ?Time)
            (strikePrice ?Option ?StrikePrice)
            (lessThan ?StockPrice ?StrikePrice)))
    (outOfTheMoney ?Option ?Time))		 FinancialOntology.kif 2966-2974
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option CallOption)
            (underlier ?Option ?Stock)
            (price ?Stock ?StockPrice ?Time)
            (strikePrice ?Option ?StrikePrice)
            (lessThan ?StrikePrice ?StockPrice)))
    (inTheMoney ?Option ?Time))		 FinancialOntology.kif 2923-2931
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option PutOption)
            (underlier ?Option ?Stock)
            (price ?Stock ?StockPrice ?Time)
            (strikePrice ?Option ?StrikePrice)
            (lessThan ?StockPrice ?StrikePrice)))
    (inTheMoney ?Option ?Time))		 FinancialOntology.kif 2933-2941
(<=>
    (exists (?Stock ?StockPrice ?StrikePrice)
        (and
            (instance ?Option PutOption)
            (underlier ?Option ?Stock)
            (price ?Stock ?StockPrice ?Time)
            (strikePrice ?Option ?StrikePrice)
            (lessThan ?StrikePrice ?StockPrice)))
    (outOfTheMoney ?Option ?Time))		 FinancialOntology.kif 2976-2984
(=>
    (and
        (currentAccountBalance ?Account ?Date
            (MeasureFn ?Balance UnitedStatesDollar))
        (lessThan ?Balance 0)
        (equal ?Overdraft
            (SubtractionFn 0 ?Balance)))
    (overdraft ?Account
        (MeasureFn ?Overdraft UnitedStatesDollar) ?Date))		 FinancialOntology.kif 732-737
(=>
    (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 3036-3057
(=>
    (and
        (instance ?Account FinancialAccount)
        (minimumBalance ?Account UsingAnAccount ?Balance)
        (currentAccountBalance ?Account ?Date ?Amount)
        (lessThan ?Amount ?Balance))
    (exists (?Penalty)
        (and
            (instance ?Penalty Penalty)
            (date ?Penalty ?Date)
            (destination ?Penalty
                (CurrencyFn ?Account)))))		 FinancialOntology.kif 657-667
(=>
    (and
        (instance ?Account LiabilityAccount)
        (minimumPayment ?Account ?MinPayment MonthDuration)
        (exists (?Payment ?Month)
            (and
                (instance ?Month Month)
                (destination ?Payment
                    (CurrencyFn ?Account))
                (paymentsPerPeriod ?Account ?Amount ?Month)
                (lessThan ?Amount ?MinPayment))))
    (exists (?Penalty)
        (and
            (instance ?Penalty Penalty)
            (destination ?Penalty
                (CurrencyFn ?Account)))))		 FinancialOntology.kif 711-724
(=>
    (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 491-497
(=>
    (and
        (instance ?H Human)
        (holdsDuring ?T1
            (age ?H
                (MeasureFn ?N YearDuration)))
        (lessThan ?N 18))
    (holdsDuring ?T1
        (instance ?H HumanYouth)))		 Mid-level-ontology.kif 418-423
(=>
    (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 12849-12864
(=>
    (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 12866-12879
(=>
    (and
        (instance ?WATERWAY Waterway)
        (depth ?OBJ ?WATERWAY
            (MeasureFn ?DEPTH ?UNIT))
        (instance ?UNIT UnitOfLength)
        (lessThan ?DRAFT ?DEPTH))
    (navigableForDraft ?WATERWAY
        (MeasureFn ?DRAFT ?UNIT)))		 Transportation.kif 2645-2651
(=>
    (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 12795-12804
(=>
    (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 12806-12815
(=>
    (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 ?PRICE1 ?AGENT)
        (publishedPrice ?ENT ?PRICE2 ?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 415-427
(=>
    (holdsDuring ?T
        (and
            (minDeviceOperatingTemp ?D ?T1)
            (located ?D ?A)
            (attribute ?D DeviceOn)
            (airTemperature ?A ?T2)
            (lessThan ?T2 ?T1)))
    (modalAttribute
        (holdsDuring
            (ImmediateFutureFn ?T)
            (attribute ?D DeviceDamaged)) Likely))		 ComputingBrands.kif 3663-3673
(=>
    (holdsDuring ?T
        (and
            (minDeviceStorageTemp ?D ?T1)
            (located ?D ?A)
            (attribute ?D DeviceOff)
            (airTemperature ?A ?T2)
            (lessThan ?T2 ?T1)))
    (modalAttribute
        (holdsDuring
            (ImmediateFutureFn ?T)
            (attribute ?D DeviceDamaged)) Likely))		 ComputingBrands.kif 3686-3696

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


(<=>
    (and
        (instance ?REL TotalValuedRelation)
        (instance ?REL Predicate))
    (exists (?VALENCE)
        (and
            (instance ?REL Relation)
            (valence ?REL ?VALENCE)
            (=>
                (forall (?NUMBER ?ELEMENT ?CLASS)
                    (=>
                        (and
                            (lessThan ?NUMBER ?VALENCE)
                            (domain ?REL ?NUMBER ?CLASS)
                            (equal ?ELEMENT
                                (ListOrderFn
                                    (ListFn @ROW) ?NUMBER)))
                        (instance ?ELEMENT ?CLASS)))
                (exists (?ITEM)
                    (?REL @ROW ?ITEM))))))		 Merge.kif 2111-2128
(<=>
    (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 1856-1860
(<=>
    (lessThanOrEqualTo ?NUMBER1 ?NUMBER2)
    (or
        (equal ?NUMBER1 ?NUMBER2)
        (lessThan ?NUMBER1 ?NUMBER2)))		 Merge.kif 1775-1779
(=>
    (and
        (attribute ?P CollegeFreshman)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring ?T
                (student ?H ?ORG))
            (lessThan ?T
                (MeasureFn 1 YearDuration)))))		 Mid-level-ontology.kif 16425-16433
(=>
    (and
        (attribute ?P CollegeJunior)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring ?T
                (student ?H ?ORG))
            (greaterThanOrEqualTo ?T
                (MeasureFn 2 YearDuration))
            (lessThan ?T
                (MeasureFn 3 YearDuration)))))		 Mid-level-ontology.kif 16439-16450
(=>
    (and
        (attribute ?P CollegeSenior)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring ?T
                (student ?H ?ORG))
            (greaterThanOrEqualTo ?T
                (MeasureFn 3 YearDuration))
            (lessThan ?T
                (MeasureFn 4 YearDuration)))))		 Mid-level-ontology.kif 16456-16467
(=>
    (and
        (attribute ?P CollegeSophomore)
        (occupiesPosition ?H ?P ?ORG))
    (exists (?T)
        (and
            (holdsDuring ?T
                (student ?H ?ORG))
            (greaterThanOrEqualTo ?T
                (MeasureFn 1 YearDuration))
            (lessThan ?T
                (MeasureFn 2 YearDuration)))))		 Mid-level-ontology.kif 16473-16484
(=>
    (and
        (conditionalProbability
            (attribute ?X ComfortFood)
            (attribute ?X HeartHealthyFood) ?NUMBER1)
        (conditionalProbability
            (attribute ?X ComfortFood)
            (not
                (attribute ?X HeartHealthyFood)) ?NUMBER2))
    (lessThan ?NUMBER1 ?NUMBER2))		 Dining.kif 1098-1106
(=>
    (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 3590-3598
(=>
    (and
        (decreasesLikelihood ?FORMULA1 ?FORMULA2)
        (equal
            (ProbabilityFn ?FORMULA2) ?NUMBER1)
        (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
    (lessThan ?NUMBER2 ?NUMBER1))		 Merge.kif 2524-2529
(=>
    (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 11202-11211
(=>
    (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 11133-11142
(=>
    (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
                    (MeasureFn ?QUANTITY ?UNIT2)
                    (MeasureFn ?Q ?UNIT1)))) Unlikely))		 Mid-level-ontology.kif 11143-11154
(=>
    (and
        (defaultMinimumSphereRadius ?OBJECT ?R)
        (instance ?INST ?OBJECT)
        (attribute ?INST Sphere))
    (modalAttribute
        (and
            (sphereRadius ?INST ?RADIUS)
            (lessThan ?RADIUS ?R)) Unlikely))		 Mid-level-ontology.kif 11100-11108
(=>
    (and
        (instance ?A AcuteAngle)
        (angularMeasure ?A
            (MeasureFn ?N AngularDegree)))
    (lessThan ?N 90))		 Mid-level-ontology.kif 5182-5186
(=>
    (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 ?LENGTH)
            (lessThan ?LENGTH
                (MeasureFn 914 Meter)))))		 Transportation.kif 1380-1389
(=>
    (and
        (instance ?AREA GeographicArea)
        (geographicSubregion
            (ElevationLowPointFn ?AREA) ?AREA)
        (elevation
            (ElevationLowPointFn ?AREA) ?ELEV1))
    (not
        (exists (?OTHER ?ELEV2)
            (and
                (geographicSubregion ?OTHER ?AREA)
                (not
                    (equal ?OTHER
                        (ElevationLowPointFn ?AREA)))
                (elevation ?OTHER ?ELEV2)
                (lessThan ?ELEV2 ?ELEV1)))))		 Geography.kif 1893-1904
(=>
    (and
        (instance ?AREA GeographicArea)
        (instance ?WEATHER ClearWeather)
        (eventLocated ?WEATHER ?AREA)
        (cloudCoverFraction ?AREA ?FRACTION))
    (lessThan ?FRACTION 0.3))		 Weather.kif 503-509
(=>
    (and
        (instance ?AREA GeographicArea)
        (instance ?WEATHER ClearWeather)
        (eventLocated ?WEATHER ?AREA))
    (exists (?FRACTION)
        (and
            (cloudCoverFraction ?AREA ?FRACTION)
            (lessThan ?FRACTION 0.3))))		 Weather.kif 493-501
(=>
    (and
        (instance ?BOTTLE Bottle)
        (bottom ?BOTTOM ?BOTTLE)
        (top ?TOP ?BOTTLE)
        (width ?BOTTOM ?WIDTH1)
        (width ?TOP ?WIDTH2))
    (lessThan ?WIDTH2 ?WIDTH1))		 Mid-level-ontology.kif 5024-5031
(=>
    (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 10231-10244
(=>
    (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

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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 5785-5792


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