(<=>
(average ?LIST1 ?AVERAGE)
(exists (?LIST2 ?LASTPLACE)
(and
(equal
(ListLengthFn ?LIST2)
(ListLengthFn ?LIST1))
(equal
(ListOrderFn ?LIST2 1)
(ListOrderFn ?LIST1 1))
(forall (?ITEMFROM2)
(=>
(inList ?ITEMFROM2 ?LIST2)
(exists (?POSITION ?POSITIONMINUSONE ?ITEMFROM1 ?PRIORFROM2)
(and
(greaterThan ?POSITION 1)
(lessThanOrEqualTo ?POSITION
(ListLengthFn ?LIST2))
(equal
(ListOrderFn ?LIST2 ?ITEMFROM2) ?POSITION)
(inList ?ITEMFROM1 ?LIST1)
(equal ?POSITION
(ListOrderFn ?LIST1 ?ITEMFROM1))
(inList ?PRIORFROM2 ?LIST2)
(equal ?POSITIONMINUSONE
(SubtractionFn ?POSITION 1))
(equal ?POSITIONMINUSONE
(ListOrderFn ?LIST2 ?PRIORFROM2))
(equal ?ITEMFROM2
(AdditionFn ?ITEMFROM1 ?PRIORFROM2))))))
(equal ?LASTPLACE
(ListLengthFn ?LIST2))
(equal ?AVERAGE
(DivisionFn
(ListOrderFn ?LIST2 ?LASTPLACE) ?LASTPLACE))))) 
People.kif 272293 
A real number is an average of a list if and only if there exist another list and a positive integer such that length of the other list is equal to length of the list and 1th element of the other list is equal to 1th element of the list and for all another positive integer and the positive integer is equal to length of the other list and the real number is equal to the positive integerth element of the other list and the positive integer 
(=>
(and
(equal
(PathWeightFn ?PATH) ?SUM)
(graphPart ?ARC1 ?PATH)
(graphPart ?ARC2 ?PATH)
(arcWeight ?ARC1 ?NUMBER1)
(arcWeight ?ARC2 ?NUMBER2)
(forall (?ARC3)
(=>
(graphPart ?ARC3 ?PATH)
(or
(equal ?ARC3 ?ARC1)
(equal ?ARC3 ?ARC2)))))
(equal
(PathWeightFn ?PATH)
(AdditionFn ?NUMBER1 ?NUMBER2))) 
Merge.kif 59946007 

(=>
(and
(equal
(PathWeightFn ?PATH) ?SUM)
(subGraph ?SUBPATH ?PATH)
(graphPart ?ARC1 ?PATH)
(arcWeight ?ARC1 ?NUMBER1)
(forall (?ARC2)
(=>
(graphPart ?ARC2 ?PATH)
(or
(graphPart ?ARC2 ?SUBPATH)
(equal ?ARC2 ?ARC1)))))
(equal ?SUM
(AdditionFn
(PathWeightFn ?SUBPATH) ?NUMBER1))) 
Merge.kif 59805992 

(=>
(and
(equal
(RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
(not
(equal ?NUMBER2 0)))
(equal
(AdditionFn
(MultiplicationFn
(FloorFn
(DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1)) 
Merge.kif 51055116 

(=>
(and
(equal ?A
(ListSumFn ?L))
(greaterThan
(ListLengthFn ?L) 1))
(equal ?A
(AdditionFn
(FirstFn ?L)
(ListSumFn
(SubListFn 2
(ListLengthFn ?L) ?L))))) 
Merge.kif 32593269 

(=>
(and
(equal ?LIST3
(ListConcatenateFn ?LIST1 ?LIST2))
(not
(equal ?LIST1 NullList))
(not
(equal ?LIST2 NullList))
(lessThanOrEqualTo ?NUMBER1
(ListLengthFn ?LIST1))
(lessThanOrEqualTo ?NUMBER2
(ListLengthFn ?LIST2))
(instance ?NUMBER1 PositiveInteger)
(instance ?NUMBER2 PositiveInteger))
(and
(equal
(ListOrderFn ?LIST3 ?NUMBER1)
(ListOrderFn ?LIST1 ?NUMBER1))
(equal
(ListOrderFn ?LIST3
(AdditionFn
(ListLengthFn ?LIST1) ?NUMBER2))
(ListOrderFn ?LIST2 ?NUMBER2)))) 
Merge.kif 30843103 

(=>
(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 30503071 

(=>
(and
(equal ?R
(SubListFn ?S ?E ?L))
(greaterThan
(SubtractionFn ?E ?S) 1))
(equal ?R
(ListConcatenateFn
(ListFn
(ListOrderFn ?L ?S))
(SubListFn
(AdditionFn 1 ?S) ?E ?L)))) 
Merge.kif 31913203 

(=>
(and
(equal ?VA
(VarianceAverageFn ?M ?L))
(greaterThan
(ListLengthFn ?L) 1))
(equal ?VA
(AdditionFn
(VarianceAverageFn ?M
(ListOrderFn ?L 1))
(VarianceAverageFn ?M
(SubListFn 2
(ListLengthFn ?L) ?L))))) 
Weather.kif 14371449 

(=>
(and
(instance ?M Mixture)
(instance ?Z UnitOfMeasure)
(mixtureRatio ?A ?B ?X ?Y ?Z)
(measure ?M
(MeasureFn ?T ?Z))
(part ?A ?M)
(part ?B ?M)
(measure ?A
(MeasureFn ?X ?Z))
(measure ?B
(MeasureFn ?Y ?Z)))
(equal ?T
(AdditionFn ?X ?Y))) 
Food.kif 12481262 

(=>
(and
(instance ?MIT BarMitzvah)
(patient ?MIT ?X)
(instance ?X Boy)
(member ?X ?GROUP)
(instance ?GROUP Judaism)
(birthdate ?X ?DAY)
(instance ?DAY
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(exists (?Y13 ?BD13)
(and
(instance ?Y13 Integer)
(equal ?Y13
(AdditionFn ?Y 13))
(instance ?BD13
(DayFn ?D
(MonthFn ?M
(YearFn ?Y13))))
(equal
(WhenFn ?MIT)
(ImmediateFutureFn ?BD13))))) 
Biography.kif 6985 

(=>
(and
(instance ?MIT BatMitzvah)
(patient ?MIT ?X)
(instance ?X Girl)
(member ?X ?GROUP)
(instance ?GROUP Judaism)
(birthdate ?X ?DAY)
(instance ?DAY
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(exists (?Y13 ?BD13)
(and
(instance ?Y13 Integer)
(equal ?Y13
(AdditionFn ?Y 13))
(instance ?BD13
(DayFn ?D
(MonthFn ?M
(YearFn ?Y13))))
(equal
(WhenFn ?MIT)
(ImmediateFutureFn ?BD13))))) 
Biography.kif 99115 

(=>
(and
(instance ?UNIT UnitOfArea)
(landAreaOnly ?AREA
(MeasureFn ?LAND ?UNIT))
(waterAreaOnly ?AREA
(MeasureFn ?WATER ?UNIT)))
(totalArea ?AREA
(MeasureFn
(AdditionFn ?LAND ?WATER) ?UNIT))) 
Geography.kif 555560 

(=>
(and
(instance ?UTC
(HourFn ?H1
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(instance ?CST
(HourFn ?H2
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(equal
(RelativeTimeFn ?UTC CentralTimeZone) ?CST))
(equal ?H2
(AdditionFn ?H1 6))) 
Merge.kif 1727717283 

(=>
(and
(instance ?UTC
(HourFn ?H1
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(instance ?EST
(HourFn ?H2
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(equal
(RelativeTimeFn ?UTC EasternTimeZone) ?EST))
(equal ?H2
(AdditionFn ?H1 5))) 
Merge.kif 1728917295 

(=>
(and
(instance ?UTC
(HourFn ?H1
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(instance ?MST
(HourFn ?H2
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(equal
(RelativeTimeFn ?UTC MountainTimeZone) ?MST))
(equal ?H2
(AdditionFn ?H1 7))) 
Merge.kif 1726517271 

(=>
(and
(instance ?UTC
(HourFn ?H1
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(instance ?PST
(HourFn ?H2
(DayFn ?D
(MonthFn ?M
(YearFn ?Y)))))
(equal
(RelativeTimeFn ?UTC PacificTimeZone) ?PST))
(equal ?H2
(AdditionFn ?H1 8))) 
Merge.kif 1725317259 

(=>
(and
(totalLengthOfHighwaySystem ?AREA
(MeasureFn ?LENGTH ?UNIT))
(lengthOfPavedHighway ?AREA
(MeasureFn ?LENGTH1 ?UNIT))
(lengthOfUnpavedHighway ?AREA
(MeasureFn ?LENGTH2 ?UNIT))
(instance ?UNIT UnitOfLength))
(totalLengthOfHighwaySystem ?AREA
(MeasureFn
(AdditionFn ?LENGTH1 ?LENGTH2) ?UNIT))) 
Transportation.kif 510517 

(=>
(and
(totalLengthOfHighwaySystem ?AREA
(MeasureFn ?LENGTH ?UNIT))
(lengthOfPavedHighway ?AREA
(MeasureFn ?LENGTH1 ?UNIT))
(lengthOfUnpavedHighway ?AREA
(MeasureFn ?LENGTH2 ?UNIT)))
(equal ?LENGTH
(AdditionFn ?LENGTH1 ?LENGTH2))) 
Transportation.kif 503508 

(=>
(conjugate ?COMPOUND1 ?COMPOUND2)
(exists (?NUMBER1 ?NUMBER2)
(and
(protonNumber ?COMPOUND1 ?NUMBER1)
(protonNumber ?COMPOUND2 ?NUMBER2)
(or
(equal ?NUMBER1
(AdditionFn ?NUMBER2 1))
(equal ?NUMBER2
(AdditionFn ?NUMBER1 1)))))) 
Midlevelontology.kif 64956503 
