equal
(=>
(
and
(
defaultValue
?REL ?ARG ?N)
(?REL @ARGS)
(
equal
?VAL
(
ListOrderFn
(
ListFn
@ARGS) ?ARG)))
(
modalAttribute
(
equal
?N ?VAL)
Likely
))
Merge.kif 18463-18468
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 2806-2819
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 1127-1140
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 4966-4971
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 4861-4872
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 4874-4888
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 4946-4956
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 4958-4972
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 3219-3223
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 5993-6006
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 5979-5991
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 5130-5142
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 5104-5115
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 3277-3284
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 3252-3256
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 3258-3268
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
?LIST1 ?LIST2)
(
equal
?LIST1
(
ListFn
@ROW1))
(
equal
?LIST2
(
ListFn
@ROW2)))
(
equal
(
ListOrderFn
(
ListFn
@ROW1) ?NUMBER)
(
ListOrderFn
(
ListFn
@ROW2) ?NUMBER)))
Merge.kif 295-302
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 3083-3102
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 1838-1845
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 3068-3089
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)
(=>
(
and
(
equal
?R
(
SubListFn
?S ?E ?L))
(
equal
(
SubtractionFn
?E ?S) 0))
(
equal
?R
NullList
))
Merge.kif 3170-3177
If
a list
is
equal
to the sub-list from
an integer
to
another integer
of
another list
and (
the other integer
and
the integer
) is
equal
to 0,
then
the list
is
equal
to
null list
(=>
(
and
(
equal
?R
(
SubListFn
?S ?E ?L))
(
equal
(
SubtractionFn
?E ?S) 1))
(
equal
?R
(
ListFn
(
ListOrderFn
?L ?S))))
Merge.kif 3179-3188
If
a list
is
equal
to the sub-list from
a positive integer
to
an integer
of
another list
and (
the integer
and
the positive integer
) is
equal
to 1,
then
the list
is
equal
to (
the positive integer
th
element
of
the other list
)
(=>
(
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 3190-3202
If
a list
is
equal
to the sub-list from
a positive integer
to
an integer
of
another list
and (
the integer
and
the positive integer
) is
greater
than 1,
then
the list
is
equal
to the
list
composed of (
the positive integer
th
element
of
the other list
) and the sub-list from (1 and
the positive integer
) to
the integer
of
the other list
(=>
(
and
(
equal
?SPEEDLIST
(
Mean3SecondWindSpeedListFn
?PLACE ?TIME))
(
inList
?SPEED ?SPEEDLIST))
(
exists
(?TIMELIST ?INT)
(
and
(
equal
?TIMELIST
(
TimeIntervalListFn
?TIME
(
MeasureFn
3
SecondDuration
)))
(
inList
?INT ?TIMELIST)
(
equal
?SPEED
(
Mean3SecondWindSpeedFn
?PLACE ?INT)))))
Weather.kif 2005-2017
If
a list
is
equal
to
Mean3SecondWindSpeedListFn
ending at
a time interval
in region
a geographic area
and
a function quantity
is a
member
of
the list
,
then there exist
the time interval
LIST and
another time interval
such that
the time interval
LIST is
equal
to
ConsecutiveTimeIntervalList
for at
the time interval
at 3
second duration
(s) is contained in
TimeIntervalListFn
and
the other time interval
is a
member
of
the time interval
LIST and
the function quantity
is
equal
to
Mean3SecondWindSpeedFn
for
the other time interval
in region
the geographic area
(=>
(
and
(
equal
?V
(
VarianceFn
?L))
(
equal
?M
(
AverageFn
?L)))
(
equal
?V
(
DivisionFn
(
VarianceAverageFn
?M ?L)
(
ListLengthFn
?L))))
Weather.kif 1475-1484
If
a real number
is
equal
to The
VarianceFn
a list
and
another real number
is
equal
to the
average
of the numbers in
the list
,
then
the real number
is
equal
to
VarianceAverageFn
of
the list
with the mean of
the other real number
and
length
of
the list
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