equal
(=>
(
and
(
chromosomeSetCount
?SUB ?COLL ?I)
(
subCollection
?SUB ?COLL))
(
equal
?I
(
CardinalityFn
(
KappaFn
?I
(
subCollection
?SUB ?COLL)))))
VirusProteinAndCellPart.kif 835-842
If There are
an integer
number of
a monoploid chromosome set
MonoploidChromosomeSet in
Collection
a collection
. and
the monoploid chromosome set
is a proper
sub
-collection of
the collection
,
then
the integer
is
equal
to the number of
instances
in the
class
described by
the integer
(=>
(
and
(
connectedBodyPartTypes
?P1 ?P2 ?O)
(
instance
?OC ?O)
(
not
(
attribute
?H
DiseaseOrSyndrome
)))
(
exists
(?PC1 ?PC2)
(
and
(
instance
?PC1 ?P1)
(
instance
?PC2 ?P2)
(
not
(
equal
?PC1 ?PC2))
(
part
?PC1 ?OC)
(
part
?PC2 ?OC)
(
connected
?PC1 ?PC2))))
Anatomy.kif 32-46
If
connected body parts
a kind of body part
,
another kind of body part
and
a kind of organism
and
a kind of organism
C is an
instance
of
the kind of organism
and
disease or syndrome
is not an
attribute
of
another object
,
then there exist
a third object
and
a fourth object
such that
the third object
is an
instance
of
a kind of body part
and
the fourth object
is an
instance
of
another kind of body part
and
the third object
is not
equal
to
the fourth object
and
the third object
is a
part
of
the kind of organism
C and
the fourth object
is a
part
of
the kind of organism
C and
the third object
is
connected
to
the fourth object
(=>
(
and
(
defaultValue
?REL ?ARG ?N)
(?REL @ARGS)
(
equal
?VAL
(
ListOrderFn
(
ListFn
@ARGS) ?ARG)))
(
modalAttribute
(
equal
?N ?VAL)
Likely
))
Merge.kif 18635-18640
If The
defaultValue
of
a predicate
with
a positive integer
arguments is
a quantity
. and
the predicate
@ARGS and
another entity
is
equal
to
the positive integer
th
element
of (@ARGS),
then the statement
the quantity
is
equal
to
the other entity
has the
modal
force
of
likely
(=>
(
and
(
distanceOnPath
?DIST ?PATH)
(
pathInSystem
?PATH ?SYS)
(
routeStart
?START ?PATH)
(
routeEnd
?END ?PATH)
(
abstractCounterpart
?GRAPH ?SYS))
(
exists
(?S ?BN ?EN)
(
and
(
subGraph
?S ?GRAPH)
(
equal
?BN
(
BeginNodeFn
?GRAPH))
(
equal
?EN
(
EndNodeFn
?GRAPH))
(
abstractCounterpart
?BN ?START)
(
abstractCounterpart
?EN ?END))))
Transportation.kif 3404-3417
If the
distance
of
a transitway
is
a constant quantity
and
a transit system
is a
path
in system of
the transitway
and
a region
is the
start
of
the transitway
and
another region
is the
end
of
the transitway
and the
abstract
counterpart
of
the transit system
is
a graph path
,
then there exist
a graph
,
a graph node
and
another graph node
such that
the graph
is a
subgraph
of
the graph path
and
the graph node
is
equal
to the
beginning
of
the graph path
and
the other graph node
is
equal
to the
end
of
the graph path
and the
abstract
counterpart
of
the region
is
the graph node
and the
abstract
counterpart
of
the other region
is
the other graph node
(=>
(
and
(
element
?ROOM
(
PropertyFn
?HOTEL))
(
attribute
?ROOM
AnnexRoom
)
(
instance
?ROOM
HotelRoom
))
(
exists
(?BLDG1 ?BLDG2 ?FRNT)
(
and
(
subOrganization
?FRNT ?HOTEL)
(
instance
?FRNT
HotelFrontDesk
)
(
located
?FRNT ?BLDG1)
(
element
?BLDG1
(
PropertyFn
?HOTEL))
(
element
?BLDG2
(
PropertyFn
?HOTEL))
(
part
?ROOM ?BLDG2)
(
not
(
equal
?BLDG1 ?BLDG2)))))
Hotel.kif 1135-1148
If
an object
is an
element
of
belongings
of
an organization
and
annex room
is an
attribute
of
the object
and
the object
is an
instance
of
hotel room
,
then there exist
another object
,
a third object
and
another organization
such that
the other organization
is a part of the organization
the organization
and
the other organization
is an
instance
of
front desk
and
the other organization
is
located
at
the other object
and
the other object
is an
element
of
belongings
of
the organization
and
the third object
is an
element
of
belongings
of
the organization
and
the object
is a
part
of
the third object
and
the other object
is not
equal
to
the third object
(=>
(
and
(
equal
(
CenterOfCircleFn
?C) ?P)
(
pointOfFigure
?P2 ?C)
(
geometricDistance
?P2 ?P ?R))
(
equal
(
RadiusFn
?C) ?R))
Mid-level-ontology.kif 5589-5594
If the
center
of circle of
a circle
is
equal
to
a geometric point
and
the geometric point
2 is a
vertex
of
the circle
and
the geometric point
2 is
geometric
distance
the geometric point
for
a length measure
,
then the
radius
of
the circle
is
equal
to
the length measure
(=>
(
and
(
equal
(
GreatestCommonDivisorFn
@ROW) ?NUMBER)
(
not
(
equal
?NUMBER 0)))
(
forall
(?ELEMENT)
(=>
(
inList
?ELEMENT
(
ListFn
@ROW))
(
equal
(
RemainderFn
?ELEMENT ?NUMBER) 0))))
Merge.kif 4874-4885
If the
greatest
common divisor of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then for all
another integer
if
the other integer
is a
member
of (@ROW),
then
the other integer
mod
the integer
is
equal
to 0
(=>
(
and
(
equal
(
GreatestCommonDivisorFn
@ROW) ?NUMBER)
(
not
(
equal
?NUMBER 0)))
(
not
(
exists
(?GREATER)
(
and
(
greaterThan
?GREATER ?NUMBER)
(
forall
(?ELEMENT)
(=>
(
inList
?ELEMENT
(
ListFn
@ROW))
(
equal
(
RemainderFn
?ELEMENT ?GREATER) 0)))))))
Merge.kif 4887-4901
If the
greatest
common divisor of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then there doesn't exist
another integer
such that
the other integer
is
greater
than
the integer
and for all
a third integer
if
the third integer
is a
member
of (@ROW),
then
the third integer
mod
the other integer
is
equal
to 0
(=>
(
and
(
equal
(
LeastCommonMultipleFn
@ROW) ?NUMBER)
(
not
(
equal
?NUMBER 0)))
(
forall
(?ELEMENT)
(=>
(
inList
?ELEMENT
(
ListFn
@ROW))
(
equal
(
RemainderFn
?NUMBER ?ELEMENT) 0))))
Merge.kif 4959-4969
If the
least
common multiple of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then for all
another integer
if
the other integer
is a
member
of (@ROW),
then
the integer
mod
the other integer
is
equal
to 0
(=>
(
and
(
equal
(
LeastCommonMultipleFn
@ROW) ?NUMBER)
(
not
(
equal
?NUMBER 0)))
(
not
(
exists
(?LESS)
(
and
(
lessThan
?LESS ?NUMBER)
(
forall
(?ELEMENT)
(=>
(
inList
?ELEMENT
(
ListFn
@ROW))
(
equal
(
RemainderFn
?LESS ?ELEMENT) 0)))))))
Merge.kif 4971-4985
If the
least
common multiple of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then there doesn't exist
another integer
such that
the other integer
is
less
than
the integer
and for all
a third integer
if
the third integer
is a
member
of (@ROW),
then
the other integer
mod
the third integer
is
equal
to 0
(=>
(
and
(
equal
(
ListLengthFn
?LIST) ?NUMBER)
(
equal
(
ListOrderFn
?LIST ?NUMBER) ?ITEM))
(
equal
(
LastFn
?LIST) ?ITEM))
Merge.kif 3217-3221
If
length
of
a list
is
equal
to
a positive integer
and
the positive integer
th
element
of
the list
is
equal
to
another entity
,
then the
last
of
the list
is
equal
to
the other entity
(=>
(
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 6003-6016
If the
value
of
a graph path
is
equal
to
a real number
and
a graph arc
is a
part
of
the graph path
and
another graph arc
is a
part
of
the graph path
and the
value
of
the graph arc
is
another real number
and the
value
of
the other graph arc
is
a third real number
and for all
a graph element
if
the graph element
is a
part
of
the graph path
,
then
the graph element
is
equal
to
the graph arc
or
the graph element
is
equal
to
the other graph arc
,
then the
value
of
the graph path
is
equal
to (
the other real number
and
the third real number
)
(=>
(
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 5989-6001
If the
value
of
a graph path
is
equal
to
a real number
and
another graph path
is a
subgraph
of
the graph path
and
a graph arc
is a
part
of
the graph path
and the
value
of
the graph arc
is
another real number
and for all
a graph element
if
the graph element
is a
part
of
the graph path
,
then
the graph element
is a
part
of
the other graph path
or
the graph element
is
equal
to
the graph arc
,
then
the real number
is
equal
to (the
value
of
the other graph path
and
the other real number
)
(=>
(
and
(
equal
(
RemainderFn
?NUMBER1 ?NUMBER2) ?NUMBER)
(
not
(
equal
?NUMBER 0))
(
not
(
equal
?NUMBER1 0))
(
not
(
equal
?NUMBER2 0)))
(
equal
(
SignumFn
?NUMBER2)
(
SignumFn
?NUMBER)))
Merge.kif 5143-5155
If
an integer
mod
another integer
is
equal
to
a third integer
and
the third integer
is not
equal
to 0 and
the integer
is not
equal
to 0 and
the other integer
is not
equal
to 0,
then the
sign
of
the other integer
is
equal
to the
sign
of
the third integer
(=>
(
and
(
equal
(
RemainderFn
?NUMBER1 ?NUMBER2) ?NUMBER)
(
not
(
equal
?NUMBER2 0)))
(
equal
(
AdditionFn
(
MultiplicationFn
(
FloorFn
(
DivisionFn
?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
Merge.kif 5117-5128
If
an integer
mod
another integer
is
equal
to
a third integer
and
the other integer
is not
equal
to 0,
then (the
largest
integer less than or equal to
the integer
and
the other integer
and
the other integer
and
the third integer
) is
equal
to
the integer
(=>
(
and
(
equal
?A
(
AverageFn
?L))
(
greaterThan
(
ListLengthFn
?L) 0))
(
equal
?A
(
DivisionFn
(
ListSumFn
?L)
(
ListLengthFn
?L))))
Merge.kif 3275-3282
If
a real number
is
equal
to the
average
of the numbers in
a list
and
length
of
the list
is
greater
than 0,
then
the real number
is
equal
to the
sum
of
the list
and
length
of
the list
(=>
(
and
(
equal
?A
(
ListSumFn
?L))
(
equal
1
(
ListLengthFn
?L)))
(
equal
?A
(
ListOrderFn
?L 1)))
Merge.kif 3250-3254
If
a real number
is
equal
to the
sum
of
a list
and 1 is
equal
to
length
of
the list
,
then
the real number
is
equal
to 1th
element
of
the list
(=>
(
and
(
equal
?A
(
ListSumFn
?L))
(
greaterThan
(
ListLengthFn
?L) 1))
(
equal
?A
(
AdditionFn
(
FirstFn
?L)
(
ListSumFn
(
SubListFn
2
(
ListLengthFn
?L) ?L)))))
Merge.kif 3256-3266
If
a real number
is
equal
to the
sum
of
a list
and
length
of
the list
is
greater
than 1,
then
the real number
is
equal
to (the
first
of
the list
and the
sum
of the sub-list from 2 to
length
of
the list
of
the list
)
(=>
(
and
(
equal
?A
CircularArc
)
(
pointOfFigure
?P ?A))
(
exists
(?C ?P2)
(
and
(
geometricPart
?A ?C)
(
equal
?C
Circle
)
(
pointOfFigure
?P2 ?C)
(
equal
?P ?P2))))
Mid-level-ontology.kif 5658-5667
If
a geometric figure
is
equal
to
circular arc
and
a geometric point
is a
vertex
of
the geometric figure
,
then there exist
another geometric figure
and
the geometric point
2 such that
the other geometric figure
is a
geometric
part of
the geometric figure
and
the other geometric figure
is
equal
to
circle
and
the geometric point
2 is a
vertex
of
the other geometric figure
and
the geometric point
is
equal
to
the geometric point
2
(=>
(
and
(
equal
?CHORD
ChordOfACircle
)
(
endPointsOfLine
?P1 ?P2 ?CHORD))
(
exists
(?C)
(
and
(
equal
?C
Circle
)
(
pointOfFigure
?P1 ?C)
(
pointOfFigure
?P2 ?C))))
Mid-level-ontology.kif 5831-5839
If
a closed line segment
is
equal
to
chord of a circle
and
a geometric point
and
another geometric point
are
endPointsOfLine
of
the closed line segment
,
then there exists
a geometric figure
such that
the geometric figure
is
equal
to
circle
and
the geometric point
is a
vertex
of
the geometric figure
and
the other geometric point
is a
vertex
of
the geometric figure
(=>
(
and
(
equal
?CHORD
ChordOfACircle
)
(
pointOfFigure
(
CenterOfCircleFn
?C) ?CHORD)
(
equal
?C
Circle
))
(
equal
?CHORD
DiameterLine
))
Mid-level-ontology.kif 5846-5852
If
a geometric figure
is
equal
to
chord of a circle
and the
center
of circle of
a circle
is a
vertex
of
the geometric figure
and
the circle
is
equal
to
circle
,
then
the geometric figure
is
equal
to
diameter line
(=>
(
and
(
equal
?LIST1 ?LIST2)
(
equal
?LIST1
(
ListFn
@ROW1))
(
equal
?LIST2
(
ListFn
@ROW2)))
(
equal
(
ListOrderFn
(
ListFn
@ROW1) ?NUMBER)
(
ListOrderFn
(
ListFn
@ROW2) ?NUMBER)))
Merge.kif 289-296
If
a list
is
equal
to
another list
and
the list
is
equal
to (@ROW1) and
the other list
is
equal
to (@ROW2),
then
a third entity
element
of (@ROW1) is
equal
to
the third entity
element
of (@ROW2)
(=>
(
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 3081-3100
If
a list
is
equal
to the
list
composed of
another list
and
a third list
and
the other list
is not
equal
to
null list
and
the third list
is not
equal
to
null list
and
a positive integer
is
less
than or equal to
length
of
the other list
and
another positive integer
is
less
than or equal to
length
of
the third list
and
the positive integer
is an
instance
of
positive integer
and
the other positive integer
is an
instance
of
positive integer
,
then
the positive integer
th
element
of
the list
is
equal
to
the positive integer
th
element
of
the other list
and (
length
of
the other list
and
the other positive integer
)th
element
of
the list
is
equal
to
the other positive integer
th
element
of
the third list
(=>
(
and
(
equal
?NLIST
(
PhysicalQuantityToNumberFn
?QLIST))
(
equal
?QUANT
(
ListOrderFn
?QLIST ?N))
(
equal
?NUM
(
ListOrderFn
?NLIST ?N)))
(
equal
(
MeasureFn
?NUM ?UNIT) ?QUANT))
Weather.kif 2354-2361
If
a number list
is
equal
to
PhysicalQuantityToNumberFn
returns the numberic values of a list of
a measuring result list
and
a physical quantity
is
equal
to
an entity
element
of
the measuring result list
and
a real number
is
equal
to
the entity
element
of
the number list
,
then
the real number
an unit of measure
(s) is
equal
to
the physical quantity
(=>
(
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 3052-3073
If
a symbolic string
is
equal
to the reverse of
another symbolic string
and
a nonnegative integer
is
equal
to the
length
of
the other symbolic string
and
the nonnegative integer
is
greater
than 1 and
another nonnegative integer
is
greater
than 0 and
the other nonnegative integer
is
less
than
the nonnegative integer
and
an integer
is
equal
to the
ceiling
of (
the nonnegative integer
and 1) and 2 and
the other nonnegative integer
EW is
equal
to ((
the integer
and
the other nonnegative integer
) and
the integer
) and
a third symbolic string
is
equal
to the
sub
-string of
the other symbolic string
from
the other nonnegative integer
to (1 and
the other nonnegative integer
),
then
the third symbolic string
is
equal
to the
sub
-string of
the symbolic string
from
the other nonnegative integer
EW to (1 and
the other nonnegative integer
EW)
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