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KB Term:  Term intersection
English Word: 

Sigma KEE - lessThan
lessThan

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


s__documentation(s__lessThan__m,s__ChineseLanguage,'"(lessThan ?NUMBER1 ?NUMBER2) 是真的 以防 ?NUMBER1 的 Quantity 比 ?NUMBER2 的 Quantity 要少。"')

chinese_format.kif 1729-1730
s__documentation(s__lessThan__m,s__EnglishLanguage,'"(lessThan ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is less than the Quantity ?NUMBER2."')

Merge.kif 1753-1754
s__domain(s__lessThan__m,n__1,s__Quantity)

Merge.kif 1750-1750 The number 1 argument of less than is an instance of quantity
s__domain(s__lessThan__m,n__2,s__Quantity)

Merge.kif 1751-1751 The number 2 argument of less than is an instance of quantity
s__instance(s__BinaryPredicate,s__SetOrClass)

s__instance(s__lessThan__m,s__BinaryPredicate)

Merge.kif 1745-1745 less than is an instance of binary predicate
s__instance(s__IrreflexiveRelation,s__SetOrClass)

s__instance(s__lessThan__m,s__IrreflexiveRelation)

Merge.kif 1747-1747 less than is an instance of irreflexive relation
s__instance(s__lessThan__m,s__RelationExtendedToQuantities)

s__instance(s__RelationExtendedToQuantities,s__SetOrClass)

Merge.kif 1748-1748 less than is an instance of relation extended to quantities
s__instance(s__lessThan__m,s__TransitiveRelation)

s__instance(s__TransitiveRelation,s__SetOrClass)

Merge.kif 1746-1746 less than is an instance of transitive relation
s__trichotomizingOn(s__lessThan__m,s__RealNumber)

Merge.kif 1749-1749 less than is trichotomizing on real number

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


s__format(s__ChineseLanguage,s__lessThan__m,'"%1 %n 是 lessThan %2"')

chinese_format.kif 141-141
s__format(s__EnglishLanguage,s__lessThan__m,'"%1 is %n less than %2"')

english_format.kif 142-142
s__inverse(s__greaterThan__m,s__lessThan__m)

Merge.kif 1764-1764 greater than is an inverse of less than
s__termFormat(s__ChineseLanguage,s__lessThan__m,'"少于"')

chinese_format.kif 142-142
s__termFormat(s__ChineseTraditionalLanguage,s__lessThan__m,'"少於"')

domainEnglishFormat.kif 34127-34127
s__termFormat(s__EnglishLanguage,s__lessThan__m,'"less than"')

domainEnglishFormat.kif 34126-34126

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


( ! [V__S,V__LD] :
   ((s__instance(V__S,s__RealNumber) =>
       ((((s__instance(V__LD,s__LiquidDrop) &
               s__approximateDiameter(V__LD,s__MeasureFn(V__S,s__Micrometer))
             &
             s__lessThan(n__500,V__S))
         =>
         s__instance(V__LD,s__Droplet))
       &
       (s__instance(V__LD,s__Droplet) =>
         (s__instance(V__LD,s__LiquidDrop) &
           s__approximateDiameter(V__LD,s__MeasureFn(V__S,s__Micrometer))
         &
         s__lessThan(n__500,V__S))))))
)
)

Geography.kif 7082-7088 A self connected object is an instance of liquid drop and the approximate diameter of the self connected object is a real number micrometer(s) and 500 is less than the real number if and only if the self connected object is an instance of droplet
( ! [V__Time,V__U,V__Option] :
   (((s__instance(V__Time,s__Agent) &
         s__instance(V__Time,s__TimePosition))
       =>
       (((( ? [V__Stock, V__StockPrice, V__StrikePrice] :
               ((s__instance(V__Stock,s__FinancialInstrument) &
                   s__instance(V__StockPrice,s__RealNumber) &
                   s__instance(V__StrikePrice,s__RealNumber) &
                   (s__instance(V__Option,s__CallOption) &
                     s__underlier(V__Option,V__Stock)
                   &
                   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
                ,V__Time)
               &
               s__instance(V__U,s__UnitOfCurrency) &
               s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
           &
           s__lessThan(V__StockPrice,V__StrikePrice)))))
=>
s__outOfTheMoney(V__Option,V__Time))
&
(s__outOfTheMoney(V__Option,V__Time)
=>
( ? [V__Stock, V__StockPrice, V__StrikePrice] :
((s__instance(V__Stock,s__FinancialInstrument) &
   s__instance(V__StockPrice,s__RealNumber) &
   s__instance(V__StrikePrice,s__RealNumber) &
   (s__instance(V__Option,s__CallOption) &
     s__underlier(V__Option,V__Stock)
   &
   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
,V__Time)
&
s__instance(V__U,s__UnitOfCurrency) &
s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
&
s__lessThan(V__StockPrice,V__StrikePrice)))))))))
)
)

FinancialOntology.kif 3012-3023 There exist a financial instrument, the financial instrumentPrice and another real number such that an agreement is an instance of call option and the financial instrument is an underlier of the agreement and the financial instrument is price the financial instrumentPrice an unit of measure(s) for an agent and the unit of measure is an instance of UnitOfCurrency and the other real number the unit of measure(s) is a strike price of the agreement and the financial instrumentPrice is less than the other real number if and only if the agent is an out of the money of the agreement
( ! [V__Time,V__U,V__Option] :
   (((s__instance(V__Time,s__Agent) &
         s__instance(V__Time,s__TimePosition))
       =>
       (((( ? [V__Stock, V__StockPrice, V__StrikePrice] :
               ((s__instance(V__Stock,s__FinancialInstrument) &
                   s__instance(V__StockPrice,s__RealNumber) &
                   s__instance(V__StrikePrice,s__RealNumber) &
                   (s__instance(V__Option,s__CallOption) &
                     s__underlier(V__Option,V__Stock)
                   &
                   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
                ,V__Time)
               &
               s__instance(V__U,s__UnitOfCurrency) &
               s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
           &
           s__lessThan(V__StrikePrice,V__StockPrice)))))
=>
s__inTheMoney(V__Option,V__Time))
&
(s__inTheMoney(V__Option,V__Time)
=>
( ? [V__Stock, V__StockPrice, V__StrikePrice] :
((s__instance(V__Stock,s__FinancialInstrument) &
   s__instance(V__StockPrice,s__RealNumber) &
   s__instance(V__StrikePrice,s__RealNumber) &
   (s__instance(V__Option,s__CallOption) &
     s__underlier(V__Option,V__Stock)
   &
   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
,V__Time)
&
s__instance(V__U,s__UnitOfCurrency) &
s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
&
s__lessThan(V__StrikePrice,V__StockPrice)))))))))
)
)

FinancialOntology.kif 2963-2974 There exist a financial instrument, the financial instrumentPrice and another real number such that an agreement is an instance of call option and the financial instrument is an underlier of the agreement and the financial instrument is price the financial instrumentPrice an unit of measure(s) for an agent and the unit of measure is an instance of UnitOfCurrency and the other real number the unit of measure(s) is a strike price of the agreement and the other real number is less than the financial instrumentPrice if and only if the agent is an in the money of the agreement
( ! [V__Time,V__U,V__Option] :
   (((s__instance(V__Time,s__Agent) &
         s__instance(V__Time,s__TimePosition))
       =>
       (((( ? [V__Stock, V__StockPrice, V__StrikePrice] :
               ((s__instance(V__Stock,s__FinancialInstrument) &
                   s__instance(V__StockPrice,s__RealNumber) &
                   s__instance(V__StrikePrice,s__RealNumber) &
                   (s__instance(V__Option,s__PutOption) &
                     s__underlier(V__Option,V__Stock)
                   &
                   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
                ,V__Time)
               &
               s__instance(V__U,s__UnitOfCurrency) &
               s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
           &
           s__lessThan(V__StockPrice,V__StrikePrice)))))
=>
s__inTheMoney(V__Option,V__Time))
&
(s__inTheMoney(V__Option,V__Time)
=>
( ? [V__Stock, V__StockPrice, V__StrikePrice] :
((s__instance(V__Stock,s__FinancialInstrument) &
   s__instance(V__StockPrice,s__RealNumber) &
   s__instance(V__StrikePrice,s__RealNumber) &
   (s__instance(V__Option,s__PutOption) &
     s__underlier(V__Option,V__Stock)
   &
   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
,V__Time)
&
s__instance(V__U,s__UnitOfCurrency) &
s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
&
s__lessThan(V__StockPrice,V__StrikePrice)))))))))
)
)

FinancialOntology.kif 2976-2987 There exist a financial instrument, the financial instrumentPrice and another real number such that an agreement is an instance of put option and the financial instrument is an underlier of the agreement and the financial instrument is price the financial instrumentPrice an unit of measure(s) for an agent and the unit of measure is an instance of UnitOfCurrency and the other real number the unit of measure(s) is a strike price of the agreement and the financial instrumentPrice is less than the other real number if and only if the agent is an in the money of the agreement
( ! [V__Time,V__U,V__Option] :
   (((s__instance(V__Time,s__Agent) &
         s__instance(V__Time,s__TimePosition))
       =>
       (((( ? [V__Stock, V__StockPrice, V__StrikePrice] :
               ((s__instance(V__Stock,s__FinancialInstrument) &
                   s__instance(V__StockPrice,s__RealNumber) &
                   s__instance(V__StrikePrice,s__RealNumber) &
                   (s__instance(V__Option,s__PutOption) &
                     s__underlier(V__Option,V__Stock)
                   &
                   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
                ,V__Time)
               &
               s__instance(V__U,s__UnitOfCurrency) &
               s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
           &
           s__lessThan(V__StrikePrice,V__StockPrice)))))
=>
s__outOfTheMoney(V__Option,V__Time))
&
(s__outOfTheMoney(V__Option,V__Time)
=>
( ? [V__Stock, V__StockPrice, V__StrikePrice] :
((s__instance(V__Stock,s__FinancialInstrument) &
   s__instance(V__StockPrice,s__RealNumber) &
   s__instance(V__StrikePrice,s__RealNumber) &
   (s__instance(V__Option,s__PutOption) &
     s__underlier(V__Option,V__Stock)
   &
   s__price(V__Stock,s__MeasureFn(V__StockPrice,V__U)
,V__Time)
&
s__instance(V__U,s__UnitOfCurrency) &
s__strikePrice(V__Option,s__MeasureFn(V__StrikePrice,V__U))
&
s__lessThan(V__StrikePrice,V__StockPrice)))))))))
)
)

FinancialOntology.kif 3025-3036 There exist a financial instrument, the financial instrumentPrice and another real number such that an agreement is an instance of put option and the financial instrument is an underlier of the agreement and the financial instrument is price the financial instrumentPrice an unit of measure(s) for an agent and the unit of measure is an instance of UnitOfCurrency and the other real number the unit of measure(s) is a strike price of the agreement and the other real number is less than the financial instrumentPrice if and only if the agent is an out of the money of the agreement
( ! [V__Date,V__Balance,V__Account,V__Overdraft] :
   (((s__instance(V__Date,s__Day) &
         s__instance(V__Balance,s__RealNumber) &
         s__instance(V__Account,s__FinancialAccount) &
         s__instance(V__Overdraft,s__RealNumber))
       =>
       (((s__currentAccountBalance(V__Account,V__Date,s__MeasureFn(V__Balance,s__UnitedStatesDollar))
           &
           s__lessThan(V__Balance,n__0)
         &
         (V__Overdraft = s__SubtractionFn(n__0,V__Balance)))
     =>
     (s__overdraft(V__Account,s__MeasureFn(V__Overdraft,s__UnitedStatesDollar),V__Date)))))
)
)

FinancialOntology.kif 742-747
( ! [V__OUT,V__IN,V__S,V__PIVOT,V__LEN,V__NEW,V__N] :
   (((s__instance(V__OUT,s__SymbolicString) &
         s__instance(V__IN,s__SymbolicString) &
         s__instance(V__S,s__SymbolicString) &
         s__instance(V__PIVOT,s__Integer) &
         s__instance(V__LEN,s__NonnegativeInteger) &
         s__instance(V__NEW,s__NonnegativeInteger) &
         s__instance(V__N,s__NonnegativeInteger))
       =>
       ((((V__OUT = s__ReverseFn(V__IN))
           &
           (V__LEN = s__StringLengthFn(V__IN))
         &
         s__greaterThan(V__LEN,n__1)
       &
       s__greaterThan(V__N,n__0)
     &
     s__lessThan(V__N,V__LEN)
   &
   (V__PIVOT = s__CeilingFn(s__DivisionFn(s__SubtractionFn(V__LEN,n__1)
  ,n__2)))
&
(V__NEW = s__AdditionFn(s__SubtractionFn(V__PIVOT,V__N)
,V__PIVOT))
&
(V__S = s__SubstringFn(V__IN,V__N,s__AdditionFn(n__1,V__N))))
=>
((V__S = s__SubstringFn(V__OUT,V__NEW,s__AdditionFn(n__1,V__NEW)))))))
)
)

Media.kif 3038-3059
( ! [V__Amount,V__Date,V__Balance,V__U,V__Account] :
   (((s__instance(V__Amount,s__RealNumber) &
         s__instance(V__Date,s__Day) &
         s__instance(V__Balance,s__RealNumber))
       =>
       (((s__instance(V__Account,s__FinancialAccount) &
             s__minimumBalance(V__Account,s__UsingAnAccount,s__MeasureFn(V__Balance,V__U))
         &
         s__instance(V__U,s__UnitOfCurrency) &
         s__currentAccountBalance(V__Account,V__Date,s__MeasureFn(V__Amount,V__U))
     &
     s__lessThan(V__Amount,V__Balance))
=>
(( ? [V__Penalty] :
     ((s__instance(V__Penalty,s__Penalty) &
         s__date(V__Penalty,V__Date)
       &
       s__destination(V__Penalty,s__CurrencyFn(V__Account)))))))))
)
)

FinancialOntology.kif 661-674
( ! [V__Amount,V__MinPayment,V__U,V__Account] :
   (((s__instance(V__Amount,s__RealNumber) &
         s__instance(V__MinPayment,s__RealNumber))
       =>
       (((s__instance(V__Account,s__LiabilityAccount) &
             s__minimumPayment(V__Account,s__MeasureFn(V__MinPayment,V__U)
          ,s__MonthDuration) &
           s__instance(V__U,s__UnitOfCurrency) &
           ( ? [V__Payment, V__Month] :
             ((s__instance(V__Payment,s__Process) &
                 (s__instance(V__Month,s__Month) &
                   s__destination(V__Payment,s__CurrencyFn(V__Account))
               &
               s__paymentsPerPeriod(V__Account,s__MeasureFn(V__Amount,V__U)
            ,V__Month)
           &
           s__lessThan(V__Amount,V__MinPayment))))))
=>
(( ? [V__Penalty] :
   ((s__instance(V__Penalty,s__Penalty) &
       s__destination(V__Penalty,s__CurrencyFn(V__Account)))))))))
)
)

FinancialOntology.kif 718-734
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 320-326
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 255-260
No TPTP formula. May not be expressible in strict first order. Merge.kif 13199-13214
No TPTP formula. May not be expressible in strict first order. Merge.kif 13216-13229
( ! [V__DEPTH,V__OBJ,V__DRAFT,V__WATERWAY,V__UNIT] :
   (((s__instance(V__DEPTH,s__RealNumber) &
         s__instance(V__OBJ,s__Physical) &
         s__instance(V__DRAFT,s__RealNumber))
       =>
       (((s__instance(V__WATERWAY,s__Waterway) &
             s__depth(V__OBJ,V__WATERWAY,s__MeasureFn(V__DEPTH,V__UNIT))
         &
         s__instance(V__UNIT,s__UnitOfLength) &
         s__lessThan(V__DRAFT,V__DEPTH))
     =>
     (s__navigableForDraft(V__WATERWAY,s__MeasureFn(V__DRAFT,V__UNIT))))))
)
)

Transportation.kif 2674-2680
( ! [V__MELT,V__X,V__BOIL,V__Y,V__TEMP] :
   (((s__instance(V__MELT,s__RealNumber) &
         s__instance(V__X,s__Object) &
         s__instance(V__BOIL,s__RealNumber) &
         s__instance(V__Y,s__Class) &
         s__subclass(V__Y,s__PureSubstance) &
         s__instance(V__TEMP,s__RealNumber))
       =>
       (((s__instance(V__X,V__Y)
           &
           s__subclass(V__Y,s__PureSubstance) &
           s__boilingPoint(V__Y,s__MeasureFn(V__BOIL,s__KelvinDegree))
         &
         s__meltingPoint(V__Y,s__MeasureFn(V__MELT,s__KelvinDegree))
       &
       s__measure(V__X,s__MeasureFn(V__TEMP,s__KelvinDegree))
     &
     s__greaterThan(V__TEMP,V__MELT)
   &
   s__lessThan(V__TEMP,V__BOIL))
=>
(s__attribute(V__X,s__Liquid)))))
)
)

Merge.kif 13145-13154
( ! [V__PRES,V__MELT,V__X,V__Y,V__TEMP] :
   (((s__instance(V__PRES,s__RealNumber) &
         s__instance(V__MELT,s__RealNumber) &
         s__instance(V__X,s__Object) &
         s__instance(V__Y,s__Class) &
         s__subclass(V__Y,s__PureSubstance) &
         s__instance(V__TEMP,s__RealNumber))
       =>
       (((s__instance(V__X,V__Y)
           &
           s__subclass(V__Y,s__PureSubstance) &
           s__meltingPoint(V__Y,s__MeasureFn(V__MELT,s__KelvinDegree))
         &
         s__barometricPressure(V__X,s__MeasureFn(V__PRES,s__InchMercury))
       &
       s__greaterThan(V__PRES,n__29_92)
     &
     s__measure(V__X,s__MeasureFn(V__TEMP,s__KelvinDegree))
   &
   s__lessThan(V__TEMP,V__MELT))
=>
(s__attribute(V__X,s__Solid)))))
)
)

Merge.kif 13156-13165
( ! [V__ROW7,V__ROW8,V__ROW5,V__ROW6,V__ROW3,V__ROW4,V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__7(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7,V__ROW8)
           &
           s__inList(V__Process1,s__ListFn__7Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7,V__ROW8))
       &
       s__inList(V__Process2,s__ListFn__7Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7,V__ROW8))
   &
   (s__ListOrderFn(s__ListFn__7Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7,V__ROW8)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__7Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7,V__ROW8)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

( ! [V__ROW5,V__ROW6,V__ROW3,V__ROW4,V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__5(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6)
           &
           s__inList(V__Process1,s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6))
       &
       s__inList(V__Process2,s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6))
   &
   (s__ListOrderFn(s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

( ! [V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__1(V__ROW2)
           &
           s__inList(V__Process1,s__ListFn__1Fn(V__ROW2))
       &
       s__inList(V__Process2,s__ListFn__1Fn(V__ROW2))
   &
   (s__ListOrderFn(s__ListFn__1Fn(V__ROW2)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__1Fn(V__ROW2)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

( ! [V__ROW3,V__ROW4,V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__3(V__ROW2,V__ROW3,V__ROW4)
           &
           s__inList(V__Process1,s__ListFn__3Fn(V__ROW2,V__ROW3,V__ROW4))
       &
       s__inList(V__Process2,s__ListFn__3Fn(V__ROW2,V__ROW3,V__ROW4))
   &
   (s__ListOrderFn(s__ListFn__3Fn(V__ROW2,V__ROW3,V__ROW4)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__3Fn(V__ROW2,V__ROW3,V__ROW4)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

( ! [V__ROW7,V__ROW5,V__ROW6,V__ROW3,V__ROW4,V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__6(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7)
           &
           s__inList(V__Process1,s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7))
       &
       s__inList(V__Process2,s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7))
   &
   (s__ListOrderFn(s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ROW7)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

( ! [V__ROW3,V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__2(V__ROW2,V__ROW3)
           &
           s__inList(V__Process1,s__ListFn__2Fn(V__ROW2,V__ROW3))
       &
       s__inList(V__Process2,s__ListFn__2Fn(V__ROW2,V__ROW3))
   &
   (s__ListOrderFn(s__ListFn__2Fn(V__ROW2,V__ROW3)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__2Fn(V__ROW2,V__ROW3)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

( ! [V__ROW5,V__ROW3,V__ROW4,V__Process1,V__ROW2,V__Process2,V__Number1,V__Number2] :
   (((s__instance(V__Process1,s__Physical) &
         s__instance(V__Process2,s__Physical) &
         s__instance(V__Number1,s__PositiveInteger) &
         s__instance(V__Number2,s__PositiveInteger))
       =>
       (((s__processList__4(V__ROW2,V__ROW3,V__ROW4,V__ROW5)
           &
           s__inList(V__Process1,s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5))
       &
       s__inList(V__Process2,s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5))
   &
   (s__ListOrderFn(s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5)
  ,V__Number1)
= V__Process1)
&
(s__ListOrderFn(s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5)
,V__Number2)
= V__Process2)
&
s__lessThan(V__Number1,V__Number2))
=>
(s__earlier(s__WhenFn(V__Process1)
,s__WhenFn(V__Process2))))))
)
)

QoSontology.kif 692-708
No TPTP formula. May not be expressible in strict first order. Catalog.kif 421-436
No TPTP formula. May not be expressible in strict first order. ComputingBrands.kif 3653-3666
No TPTP formula. May not be expressible in strict first order. ComputingBrands.kif 3679-3692

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


No TPTP formula. May not be expressible in strict first order. People.kif 253-277 The deaths per thousand live births of a geopolitical area and the year an integer is equal to a real number if and only if another integer is equal to the number of instances in the class described by a symbolic string and the other integer and 1000 is equal to a number and a third integer is equal to the number of instances in the class described by another symbolic string and the third integer and the number is equal to the real number
( ! [V__NUMBER] :
   (((s__instance(V__NUMBER,s__NegativeRealNumber) =>
         (s__lessThan(V__NUMBER,n__0)
         &
         s__instance(V__NUMBER,s__RealNumber)))
     &
     ((s__lessThan(V__NUMBER,n__0)
       &
       s__instance(V__NUMBER,s__RealNumber))
     =>
     s__instance(V__NUMBER,s__NegativeRealNumber)))
)
)

Merge.kif 1862-1866 A quantity is an instance of negative real number if and only if the quantity is less than 0 and the quantity is an instance of real number
( ! [V__NUMBER1,V__NUMBER2] :
   (((s__instance(V__NUMBER1,s__Quantity) &
         s__instance(V__NUMBER2,s__Quantity))
       =>
       (((s__lessThanOrEqualTo(V__NUMBER1,V__NUMBER2)
           =>
           ((V__NUMBER1 = V__NUMBER2)
             |
             s__lessThan(V__NUMBER1,V__NUMBER2)))
       &
       (((V__NUMBER1 = V__NUMBER2)
           |
           s__lessThan(V__NUMBER1,V__NUMBER2))
       =>
       s__lessThanOrEqualTo(V__NUMBER1,V__NUMBER2)))))
)
)

Merge.kif 1781-1785 A quantity is less than or equal to another quantity if and only if the quantity is equal to the other quantity or the quantity is less than the other quantity
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 17412-17421
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 17427-17437
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 17443-17453
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 17459-17469
No TPTP formula. May not be expressible in strict first order. Dining.kif 1101-1109
No TPTP formula. May not be expressible in strict first order. FinancialOntology.kif 3653-3661
No TPTP formula. May not be expressible in strict first order. Merge.kif 2531-2536
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 12438-12447
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 12366-12375
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 12377-12388
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 12328-12337
( ! [V__A,V__N] :
   ((s__instance(V__N,s__RealNumber) =>
       (((s__instance(V__A,s__AcuteAngle) &
             s__angularMeasure(V__A,s__MeasureFn(V__N,s__AngularDegree)))
         =>
         (s__lessThan(V__N,n__90)))))
)
)

Mid-level-ontology.kif 4576-4580
No TPTP formula. May not be expressible in strict first order. Dining.kif 725-748
( ! [V__AIRPORT] :
   (((s__instance(V__AIRPORT,s__Airport) &
         s__attribute(V__AIRPORT,s__VeryShortRunwayAirport))
       =>
       (( ? [V__RUNWAY, V__LENGTH] :
           ((s__instance(V__LENGTH,s__RealNumber) &
               (s__instance(V__RUNWAY,s__Runway) &
                 s__part(V__RUNWAY,V__AIRPORT)
               &
               s__length(V__RUNWAY,s__MeasureFn(V__LENGTH,s__Meter))
             &
             s__lessThan(V__LENGTH,n__914)))))))
)
)

Transportation.kif 1391-1400
( ! [V__U,V__AREA,V__ELEV1] :
   ((s__instance(V__ELEV1,s__RealNumber) =>
       (((s__instance(V__AREA,s__GeographicArea) &
             s__geographicSubregion(s__ElevationLowPointFn(V__AREA)
          ,V__AREA)
         &
         s__instance(V__U,s__UnitOfLength) &
         s__elevation(s__ElevationLowPointFn(V__AREA)
      ,s__MeasureFn(V__ELEV1,V__U)))
=>
(~(( ? [V__OTHER, V__ELEV2] :
       ((s__instance(V__OTHER,s__GeographicArea) &
           s__instance(V__ELEV2,s__RealNumber) &
           (s__geographicSubregion(V__OTHER,V__AREA)
           &
           ~((V__OTHER = s__ElevationLowPointFn(V__AREA)))
         &
         s__elevation(V__OTHER,s__MeasureFn(V__ELEV2,V__U))
     &
     s__lessThan(V__ELEV2,V__ELEV1))))))))))
)
)

Geography.kif 1911-1925
( ! [V__WEATHER,V__FRACTION,V__AREA] :
   ((s__instance(V__FRACTION,s__NonnegativeRealNumber) =>
       (((s__instance(V__AREA,s__GeographicArea) &
             s__instance(V__WEATHER,s__ClearWeather) &
             s__eventLocated(V__WEATHER,V__AREA)
           &
           s__cloudCoverFraction(V__AREA,V__FRACTION))
       =>
       (s__lessThan(V__FRACTION,n__0_3)))))
)
)

Weather.kif 892-898
( ! [V__WEATHER,V__AREA] :
   (((s__instance(V__AREA,s__GeographicArea) &
         s__instance(V__WEATHER,s__ClearWeather) &
         s__eventLocated(V__WEATHER,V__AREA))
     =>
     (( ? [V__FRACTION] :
         ((s__instance(V__FRACTION,s__NonnegativeRealNumber) &
             (s__cloudCoverFraction(V__AREA,V__FRACTION)
             &
             s__lessThan(V__FRACTION,n__0_3)))))))
)
)

Weather.kif 882-890
( ! [V__BOTTOM,V__U,V__WIDTH2,V__WIDTH1,V__TOP,V__BOTTLE] :
   (((s__instance(V__BOTTOM,s__SelfConnectedObject) &
         s__instance(V__WIDTH2,s__RealNumber) &
         s__instance(V__WIDTH1,s__RealNumber) &
         s__instance(V__TOP,s__SelfConnectedObject))
       =>
       (((s__instance(V__BOTTLE,s__Bottle) &
             s__bottom(V__BOTTOM,V__BOTTLE)
           &
           s__top(V__TOP,V__BOTTLE)
         &
         s__instance(V__U,s__UnitOfLength) &
         s__width(V__BOTTOM,s__MeasureFn(V__WIDTH1,V__U))
     &
     s__width(V__TOP,s__MeasureFn(V__WIDTH2,V__U)))
=>
(s__lessThan(V__WIDTH2,V__WIDTH1)))))
)
)

Mid-level-ontology.kif 4413-4423
No TPTP formula. May not be expressible in strict first order. Merge.kif 10484-10497
No TPTP formula. May not be expressible in strict first order. QoSontology.kif 1932-1946
No TPTP formula. May not be expressible in strict first order. Dining.kif 507-516
No TPTP formula. May not be expressible in strict first order. Merge.kif 10464-10477

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


( ! [V__NUMBER1,V__NUMBER2,V__GRAPH] :
   (((s__instance(V__NUMBER1,s__PositiveInteger) &
         s__instance(V__NUMBER2,s__PositiveInteger) &
         s__instance(V__GRAPH,s__Graph))
       =>
       (~(( ? [V__PATH1, V__PATH2] :
             ((s__instance(V__PATH1,s__GraphPath) &
                 s__instance(V__PATH2,s__GraphPath) &
                 (s__instance(V__PATH1,s__CutSetFn(V__GRAPH))
               &
               s__instance(V__PATH2,s__MinimalCutSetFn(V__GRAPH))
           &
           s__pathLength(V__PATH1,V__NUMBER1)
         &
         s__pathLength(V__PATH2,V__NUMBER2)
       &
       s__lessThan(V__NUMBER1,V__NUMBER2))))))))
)
)

Merge.kif 5839-5846 There don't exist a graph path and another graph path such that the graph path is an instance of the set of paths that partition a graph into two separate graphs and the other graph path is an instance of the set of minimal paths that partition the graph into two separate graphs and the length of the graph path is a positive integer and the length of the other graph path is another positive integer and the positive integer is less than the other positive integer


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