equal
(<=>
(
stringLength
?INT ?STRING)
(
equal
?INT
(
StringLengthFn
?STRING)))
Mid-level-ontology.kif 26128-26130
A symbolic string
is
a nonnegative integer
characters
long
if and only if
equal
the nonnegative integer
and the
length
of
the symbolic string
(=>
(<=>
(
element
?ELEMENT ?SET1)
(
element
?ELEMENT ?SET2))
(
equal
?SET1 ?SET2))
Merge.kif 5446-5450
If
an entity
is an
element
of
a set
if and only if
the entity
is an
element
of
another set
,
then
equal
the set
and
the other set
(=>
(
and
(
amount
?S ?CO
(
MeasureFn
?N ?U))
(
instance
?SI ?S)
(
measure
?SI
(
MeasureFn
?N2 ?U))
(
part
?SI ?CO))
(
exists
(?L)
(
and
(
inList
(
MeasureFn
?N2 ?U) ?L)
(
equal
?L
(
AmountsFn
?S ?CO ?U))
(
equal
?N
(
ListSumFn
?L)))))
Merge.kif 7647-7662
If
amount
a kind of substance
,
a corpuscular object
and
a real number
an unit of mass
(s) and
a kind of substance
I is an
instance
of
the kind of substance
and the
measure
of
the kind of substance
I is
the real number
2
the unit of mass
(s) and
the kind of substance
I is a
part
of
the corpuscular object
,
then there exists
a list
such that
the real number
2
the unit of mass
(s) is a
member
of
the list
and
equal
the list
and
Amounts fn
the kind of substance
,
the corpuscular object
and
the unit of mass
and
equal
the real number
and the
sum
of
the list
(=>
(
and
(
applicableRelation
?O ?R)
(
instance
?O ?OC)
(
domain
?R 1 ?DC))
(
or
(
equal
?OC ?DC)
(
subclass
?OC ?DC)))
Mid-level-ontology.kif 33332-33339
If
an object
can be an argument to
a relation
and
the object
is an
instance
of
the object
C and the number 1 argument of
the relation
is an
instance
of
another class
,
then
equal
the object
C and
the other class
or
the object
C is a
subclass
of
the other class
(=>
(
and
(
approximateDiameter
?O
(
MeasureFn
?L ?LM))
(
sphereRadius
?S
(
MeasureFn
(
DivisionFn
?L 2.0) ?LM))
(
measure
?S
(
MeasureFn
?V1 ?VM))
(
measure
?O
(
MeasureFn
?V2 ?VM))
(
instance
?LM
UnitOfLength
)
(
instance
?VM
UnitOfVolume
))
(
equal
?V1 ?V2))
Mid-level-ontology.kif 19519-19530
If the
approximate
diameter
of
a self connected object
is
a real number
the real number
M(s) and the
radius
of
an object
is
the real number
and 2.0
the real number
M(s) and the
measure
of
the object
is
another real number
another unit of measure
(s) and the
measure
of
the self connected object
is
a third real number
the other unit of measure
(s) and
the real number
M is an
instance
of
unit of length
and
the other unit of measure
is an
instance
of
unit of volume
,
then
equal
the other real number
and
the third real number
(=>
(
and
(
arcLength
?A ?L)
(
equal
?A
CircularArc
))
(
exists
(?P ?P2)
(
and
(
pointOfFigure
?P ?A)
(
pointOfFigure
?P2 ?A)
(
not
(
equal
?P ?P2))
(
geometricDistance
?P ?P2 ?L))))
Mid-level-ontology.kif 5684-5694
If
a length measure
is the
LengthMeasure
of
a circular arc
and
equal
the circular arc
and
circular arc
,
then there exist
a geometric point
and
the geometric point
2 such that
the geometric point
is a
vertex
of
the circular arc
and
the geometric point
2 is a
vertex
of
the circular arc
and
equal
the geometric point
and
the geometric point
2 and
the geometric point
is
geometric
distance
the geometric point
2 for
the length measure
(=>
(
and
(
arcLength
?SEMI
(
MeasureFn
?L ?U))
(
equal
?SEMI
SemicircularArc
))
(
exists
(?CIR ?C)
(
and
(
equal
?CIR
Circle
)
(
geometricPart
?SEMI ?CIR)
(
circumference
?CIR
(
MeasureFn
?C ?U))
(
equal
?C
(
AdditionFn
?L ?L)))))
Mid-level-ontology.kif 5700-5710
If
a real number
an unit of measure
(s) is the
LengthMeasure
of
a circular arc
and
equal
the circular arc
and
semicircular arc
,
then there exist
a circle
and
another real number
such that
equal
the circle
and
circle
and
the circle
is a
geometric
part of
the circular arc
and
circumference
the circle
and
the other real number
the unit of measure
(s) and
equal
the other real number
and (
the real number
and
the real number
)
(=>
(
and
(
attribute
?A
AppraisalAsJustTreatment
)
(
instance
?AJT
AppraisalProcess
)
(
agent
?AJT ?A))
(
exists
(?P ?A2)
(
and
(
instance
?P
Process
)
(
refers
?AJT ?P)
(
agent
?P ?A2)
(
not
(
equal
?A ?A2))
(
patient
?P ?A)
(
wants
?A ?P))))
emotion.kif 374-387
If
appraisal as just treatment
is an
attribute
of
a cognitive agent
and
the cognitive agent
JT is an
instance
of
appraisal process
and
the cognitive agent
is an
agent
of
the cognitive agent
JT,
then there exist
another process
and
the cognitive agent
2 such that
the other process
is an
instance
of
process
and
the cognitive agent
JT includes a
reference
to
the other process
and
the cognitive agent
2 is an
agent
of
the other process
and
equal
the cognitive agent
and
the cognitive agent
2 and
the cognitive agent
is a
patient
of
the other process
and
the cognitive agent
want
s
the other process
(=>
(
and
(
attribute
?A
AppraisalAsUnjustTreatment
)
(
instance
?AUJ
AppraisalProcess
)
(
agent
?AUJ ?A))
(
exists
(?P ?A2)
(
and
(
instance
?P
Process
)
(
refers
?AUJ ?P)
(
agent
?P ?A2)
(
not
(
equal
?A ?A2))
(
patient
?P ?A)
(
not
(
wants
?A ?P)))))
emotion.kif 349-363
If
appraisal as unjust treatment
is an
attribute
of
a cognitive agent
and
the cognitive agent
UJ is an
instance
of
appraisal process
and
the cognitive agent
is an
agent
of
the cognitive agent
UJ,
then there exist
another process
and
the cognitive agent
2 such that
the other process
is an
instance
of
process
and
the cognitive agent
UJ includes a
reference
to
the other process
and
the cognitive agent
2 is an
agent
of
the other process
and
equal
the cognitive agent
and
the cognitive agent
2 and
the cognitive agent
is a
patient
of
the other process
and
the cognitive agent
doesn't
want
the other process
(=>
(
and
(
attribute
?C
Collectible
)
(
hasPurpose
?C ?P))
(
exists
(?H ?P2)
(
and
(
instance
?H
Human
)
(
wants
?H ?C)
(
desires
?H ?P2)
(
entails
?P2
(
possesses
?H ?C))
(
not
(
equal
?P ?P2)))))
Mid-level-ontology.kif 31426-31438
If
Collectible
is an
attribute
of
an object
and
the object
has the purpose
a formula
,
then there exist
a cognitive agent
and
the formula
2 such that
the cognitive agent
is an
instance
of
human
and
the cognitive agent
want
s
the object
and
the cognitive agent
desire
s
the formula
2 and
the formula
2
entail
s
the cognitive agent
possess
es
the object
and
equal
the formula
and
the formula
2
(=>
(
and
(
attribute
?G ?H)
(
instance
?G
Substance
)
(
instance
?H
HazardousMaterialTransportAttribute
)
(
not
(
attribute
?G
HazardousExplosives
))
(
not
(
attribute
?G
HazardousGases
))
(
not
(
attribute
?G
FlammableLiquid
))
(
not
(
attribute
?G
FlammableSolid
))
(
not
(
attribute
?G
OxidizingSubstance
))
(
not
(
attribute
?G
ToxicandInfectiousSubstance
))
(
not
(
attribute
?G
RadioactiveSubstance
))
(
not
(
attribute
?G
CorrosiveSubstance
)))
(
equal
?H
HazardousMiscellaneous
))
Transportation.kif 4330-4343
If
an attribute
is an
attribute
of
an object
and
the object
is an
instance
of
substance
and
the attribute
is an
instance
of
hazardous material transport attribute
and
hazardous explosives
is not an
attribute
of
the object
and
hazardous gases
is not an
attribute
of
the object
and
flammable liquid
is not an
attribute
of
the object
and
flammable solid
is not an
attribute
of
the object
and
oxidizing substance
is not an
attribute
of
the object
and
toxic and infectious substance
is not an
attribute
of
the object
and
radioactive substance
is not an
attribute
of
the object
and
corrosive substance
is not an
attribute
of
the object
,
then
equal
the attribute
and
hazardous miscellaneous
(=>
(
and
(
attribute
?M
MashupRecording
)
(
instance
?M
Recording
))
(
exists
(?M1 ?M2 ?S1 ?S2)
(
and
(
musicInterpretation
?M1 ?S1)
(
musicInterpretation
?M2 ?S2)
(
not
(
equal
?S1 ?S2))
(
part
?M1 ?M)
(
part
?M2 ?M))))
Music.kif 428-438
If
mashup
is an
attribute
of
an object
and
the object
is an
instance
of
recording
,
then there exist
the object
1,
the object
2,, ,
a music
and
another music
such that
the object
1 is a
recording
of
the music
and
the object
2 is a
recording
of
the other music
and
equal
the music
and
the other music
and
the object
1 is a
part
of
the object
and
the object
2 is a
part
of
the object
(=>
(
and
(
attribute
?M
RemixRecording
)
(
instance
?M
MusicRecording
))
(
exists
(?O ?A)
(
equal
?M
(
RemixFn
?O ?A))))
Music.kif 446-451
If
remix recording
is an
attribute
of
a music recording
and
the music recording
is an
instance
of
music recording
,
then there exist
another music recording
and
a cognitive agent
such that
equal
the music recording
and the
remix
of
the other music recording
by
the cognitive agent
(=>
(
and
(
attribute
?MR
CoverRecording
)
(
instance
?MR
MusicRecording
)
(
songArtist
?MR ?A)
(
musicInterpretation
?MR ?M)
(
record
?MR ?MM))
(
exists
(?ORIG ?ARTIST ?MUSIC)
(
and
(
musicInterpretation
?ORIG ?M)
(
songArtist
?ORIG ?ARTIST)
(
not
(
equal
?A ?ARTIST))
(
record
?ORIG ?MUSIC)
(
before
(
WhenFn
?MUSIC)
(
WhenFn
?MM)))))
Music.kif 459-472
If
cover recording
is an
attribute
of
a music recording
and
the music recording
is an
instance
of
music recording
and
a cognitive agent
is the
performer
in
the music recording
and
the music recording
is a
recording
of
a music
and
the music recording
is a
record
of
the music
M,
then there exist
another music recording
,
the cognitive agent
RTIST and
the music
USIC such that
the other music recording
is a
recording
of
the music
and
the cognitive agent
RTIST is the
performer
in
the other music recording
and
equal
the cognitive agent
and
the cognitive agent
RTIST and
the other music recording
is a
record
of
the music
USIC and the
time
of existence of
the music
USIC happens
before
the
time
of existence of
the music
M
(=>
(
and
(
attribute
?ORG
UnicameralLegislature
)
(
legislativeBranch
?ORG ?AREA)
(
instance
?CHAMBER1
LegislativeChamber
)
(
subOrganization
?CHAMBER1
(
GovernmentFn
?AREA))
(
instance
?CHAMBER2
LegislativeChamber
)
(
subOrganization
?CHAMBER2
(
GovernmentFn
?AREA)))
(
equal
?CHAMBER1 ?CHAMBER2))
Government.kif 1939-1947
If
unicameral legislature
is an
attribute
of
an organization
and
a geopolitical area
is a
legislative
branch of
the organization
and
another organization
is an
instance
of
legislative chamber
and
the other organization
is a part of the organization the
government
of
the geopolitical area
and
a third organization
is an
instance
of
legislative chamber
and
the third organization
is a part of the organization the
government
of
the geopolitical area
,
then
equal
the other organization
and
the third organization
(=>
(
and
(
attribute
?Order
FOKOrder
)
(
agreementPeriod
?Order ?Period))
(
or
(
exists
(?Fill ?Time1)
(
and
(
instance
?Fill
FillingAnOrder
)
(
patient
?Fill ?Order)
(
equal
(
WhenFn
?Fill) ?Time1)
(
starts
?Time1 ?Period)))
(
exists
(?Kill ?Time2)
(
and
(
instance
?Kill
CancellingAnOrder
)
(
patient
?Kill ?Order)
(
equal
(
WhenFn
?Kill) ?Time2)
(
starts
?Time2 ?Period)))))
FinancialOntology.kif 2898-2914
If
FOK order
is an
attribute
of
an agreement
and
a time interval
is an
agreement
period of
the agreement
,
then there exist
a process
and
another time interval
such that
the process
is an
instance
of
filling an order
and
the agreement
is a
patient
of
the process
and
equal
the
time
of existence of
the process
and
the other time interval
and
the other time interval
start
s
the time interval
or there exist
another process
and
a third time interval
such that
the other process
is an
instance
of
cancelling an order
and
the agreement
is a
patient
of
the other process
and
equal
the
time
of existence of
the other process
and
the third time interval
and
the third time interval
start
s
the time interval
(=>
(
and
(
attribute
?Order
GTCOrder
)
(
agreementPeriod
?Order ?Period))
(
or
(
exists
(?Execute ?Time)
(
and
(
instance
?Execute
FillingAnOrder
)
(
patient
?Execute ?Order)
(
equal
(
WhenFn
?Execute) ?Time)
(
overlapsTemporally
?Time ?Period)))
(
exists
(?Cancel ?End)
(
and
(
instance
?Cancel
CancellingAnOrder
)
(
patient
?Cancel ?Order)
(
equal
(
WhenFn
?Cancel) ?End)
(
finishes
?End ?Period)))))
FinancialOntology.kif 2934-2950
If
GTC order
is an
attribute
of
an agreement
and
a time interval
is an
agreement
period of
the agreement
,
then there exist
a process
and
another time interval
such that
the process
is an
instance
of
filling an order
and
the agreement
is a
patient
of
the process
and
equal
the
time
of existence of
the process
and
the other time interval
and
the time interval
overlap
s
the other time interval
or there exist
another process
and
a third time interval
such that
the other process
is an
instance
of
cancelling an order
and
the agreement
is a
patient
of
the other process
and
equal
the
time
of existence of
the other process
and
the third time interval
and
the third time interval
finish
es
the time interval
(=>
(
and
(
attribute
?Order
IOCOrder
)
(
agreementPeriod
?Order ?Period))
(
or
(
exists
(?Fill ?Time1)
(
and
(
instance
?Fill
FillingAnOrder
)
(
patient
?Fill ?Order)
(
equal
(
WhenFn
?Fill) ?Time1)
(
starts
?Time1 ?Period)))
(
exists
(?Kill ?Time2)
(
and
(
instance
?Kill
CancellingAnOrder
)
(
patient
?Kill ?Order)
(
equal
(
WhenFn
?Kill) ?Time2)
(
starts
?Time2 ?Period)))))
FinancialOntology.kif 2871-2887
If
IOC order
is an
attribute
of
an agreement
and
a time interval
is an
agreement
period of
the agreement
,
then there exist
a process
and
another time interval
such that
the process
is an
instance
of
filling an order
and
the agreement
is a
patient
of
the process
and
equal
the
time
of existence of
the process
and
the other time interval
and
the other time interval
start
s
the time interval
or there exist
another process
and
a third time interval
such that
the other process
is an
instance
of
cancelling an order
and
the agreement
is a
patient
of
the other process
and
equal
the
time
of existence of
the other process
and
the third time interval
and
the third time interval
start
s
the time interval
(=>
(
and
(
attribute
?Order
LimitOrder
)
(
partyToAgreement
?Order ?Broker)
(
attribute
?Broker
Broker
)
(
orderFor
?Order
Buying
?Object)
(
measure
?Object ?Quantity)
(
limitPrice
?Order
(
MeasureFn
?LimitPrice ?U))
(
instance
?U
UnitOfCurrency
)
(
askPrice
?Object
(
MeasureFn
?Price ?U) ?Time)
(
lessThanOrEqualTo
?Price ?LimitPrice))
(
holdsObligation
(
KappaFn
?Buy
(
and
(
instance
?Buy
Buying
)
(
patient
?Buy ?Object)
(
measure
?Object ?Quantity)
(
equal
(
WhenFn
?Buy) ?BuyingTime)
(
overlapsTemporally
?Time ?BuyingTime))) ?Broker))
FinancialOntology.kif 2025-2046
If
limit order
is an
attribute
of
a financial transaction
and
an agreement
is a
party
to agreement of
the financial transaction
and
broker
is an
attribute
of
the agreement
and
the financial transaction
is
order
for
buying
for
a security
and the
measure
of
the security
is
a physical quantity
and
a real number
an unit of measure
(s) is a
limit
price of
the financial transaction
and
the unit of measure
is an
instance
of
unit of currency
and
an agent
asks
for
another real number
the unit of measure
(s) for
the security
and
the other real number
is
less
than or equal to
the real number
,
then
the agreement
is
obliged
to perform tasks of type the
class
described by
a symbolic string
(=>
(
and
(
attribute
?Order
LimitOrder
)
(
partyToAgreement
?Order ?Broker)
(
attribute
?Broker
Broker
)
(
orderFor
?Order
Selling
?Object)
(
measure
?Object ?Quantity)
(
limitPrice
?Order
(
MeasureFn
?LimitPrice ?U))
(
bidPrice
?Object
(
MeasureFn
?Price ?U) ?Time)
(
instance
?U
UnitOfCurrency
)
(
greaterThanOrEqualTo
?Price ?LimitPrice))
(
holdsObligation
(
KappaFn
?Sell
(
and
(
instance
?Sell
Selling
)
(
patient
?Sell ?Object)
(
measure
?Object ?Quantity)
(
equal
(
WhenFn
?Sell) ?SellingTime)
(
overlapsTemporally
?SellingTime ?Time))) ?Broker))
FinancialOntology.kif 2048-2069
If
limit order
is an
attribute
of
a financial transaction
and
an agreement
is a
party
to agreement of
the financial transaction
and
broker
is an
attribute
of
the agreement
and
the financial transaction
is
order
for
selling
for
a security
and the
measure
of
the security
is
a physical quantity
and
a real number
an unit of measure
(s) is a
limit
price of
the financial transaction
and
an agent
bids
another real number
the unit of measure
(s) for
the security
and
the unit of measure
is an
instance
of
unit of currency
and
the other real number
is
greater
than or equal to
the real number
,
then
the agreement
is
obliged
to perform tasks of type the
class
described by
a symbolic string
(=>
(
and
(
attribute
?SYLLABLE
Stressed
)
(
instance
?WORD
Word
)
(
part
?SYLLABLE ?WORD))
(
not
(
exists
(?SYLLABLE2)
(
and
(
instance
?SYLLABLE2
Syllable
)
(
part
?SYLLABLE2 ?WORD)
(
attribute
?SYLLABLE2
Stressed
)
(
not
(
equal
?SYLLABLE2 ?SYLLABLE))))))
Mid-level-ontology.kif 21014-21024
If
stressed
is an
attribute
of
an object
and
another object
is an
instance
of
word
and
the object
is a
part
of
the other object
,
then there doesn't exist
the object
2 such that
the object
2 is an
instance
of
syllable
and
the object
2 is a
part
of
the other object
and
stressed
is an
attribute
of
the object
2 and
equal
the object
2 and
the object
(=>
(
and
(
attribute
?X
CommunalAttribute
)
(
instance
?X
Table
)
(
instance
?E1
Eating
)
(
agent
?E1 ?GRP1)
(
instance
?GRP1
GroupOfPeople
)
(
eventLocated
?E1 ?X))
(
modalAttribute
(
exists
(?GRP2 ?E2 ?X2)
(
and
(
instance
?E2
Eating
)
(
agent
?E2 ?GRP2)
(
not
(
equal
?GRP1 ?GRP2))
(
instance
?GRP2
GroupOfPeople
)
(
eventLocated
?E2 ?X2)
(
meetsTemporally
(
WhenFn
?E1)
(
WhenFn
?E2))
(
equal
?X ?X2)))
Possibility
))
Dining.kif 1207-1224
If
communal
is an
attribute
of
an object
and
the object
is an
instance
of
table
and
a process
is an
instance
of
eating
and
an agent
is an
agent
of
the process
and
the agent
is an
instance
of
group of people
and
the process
is
located
at
the object
,
then the statement there exist
an entity
,
another entity
and
the object
2 such that
the other entity
is an
instance
of
eating
and
the entity
is an
agent
of
the other entity
and
equal
the agent
and
the entity
and
the entity
is an
instance
of
group of people
and
the other entity
is
located
at
the object
2 and the
time
of existence of
the process
meet
s the
time
of existence of
the other entity
and
equal
the object
and
the object
2 has the
modal
force
of
possibility
(=>
(
and
(
attribute
?X
Multilingual
)
(
instance
?SPEAK
Speaking
)
(
agent
?SPEAK ?X))
(
modalAttribute
(
exists
(?LANG1 ?LANG2)
(
and
(
instance
?LANG1
SpokenHumanLanguage
)
(
instance
?LANG2
SpokenHumanLanguage
)
(
not
(
equal
?LANG1 ?LANG2))
(
or
(
patient
?SPEAK ?LANG1)
(
patient
?SPEAK ?LANG2))))
Possibility
))
Mid-level-ontology.kif 27646-27659
If
multilingual
is an
attribute
of
an agent
and
a process
is an
instance
of
speaking
and
the agent
is an
agent
of
the process
,
then the statement there exist
an entity
and
another entity
such that
the entity
is an
instance
of
spoken human language
and
the other entity
is an
instance
of
spoken human language
and
equal
the entity
and
the other entity
and
the entity
is a
patient
of
the process
or
the other entity
is a
patient
of
the process
has the
modal
force
of
possibility
(=>
(
and
(
attribute
?X
Suite
)
(
instance
?X
HotelUnit
))
(
exists
(?R1 ?R2)
(
and
(
instance
?R1
HotelRoom
)
(
instance
?R2
HotelRoom
)
(
orientation
?R1 ?X
Inside
)
(
orientation
?R2 ?X
Inside
)
(
not
(
equal
?R1 ?R2)))))
Hotel.kif 1011-1022
If
suite
is an
attribute
of
an object
and
the object
is an
instance
of
hotel unit
,
then there exist
another object
and
a third object
such that
the other object
is an
instance
of
hotel room
and
the third object
is an
instance
of
hotel room
and
the other object
is
inside
to
the object
and
the third object
is
inside
to
the object
and
equal
the other object
and
the third object
(=>
(
and
(
birthdate
?A ?DAY)
(
instance
?DAY
(
DayFn
?D
(
MonthFn
?M
(
YearFn
?Y)))))
(
exists
(?CLASS ?FUTURE)
(
and
(
birthday
?A ?CLASS)
(
subclass
?CLASS
Day
)
(
instance
?FUTURE
Integer
)
(
equal
?CLASS
(
DayFn
?D
(
MonthFn
?M
(
YearFn
?FUTURE))))
(
greaterThan
?FUTURE ?Y))))
Mid-level-ontology.kif 25883-25893
If
a day
is a
birthdate
of
a human
and
the day
is an
instance
of the
day
a positive integer
of month the
month
a kind of month
,
then there exist
another kind of day
and
an integer
such that
the human
's
birthday
is
another kind of day
and
the other kind of day
is a
subclass
of
day
and
the integer
is an
instance
of
integer
and
equal
the other kind of day
and the
day
the positive integer
of month the
month
a kind of month
and
the integer
is
greater
than
another integer
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