id int64 3 1.43k | story_id int64 1 486 | premises stringlengths 41 1.12k | conclusion stringlengths 12 271 | question stringlengths 199 1.41k | answer stringclasses 3
values | split stringclasses 1
value | source_dataset stringclasses 1
value | formalized_constants stringlengths 0 285 | formalized_predicates stringlengths 12 300 | formalized_premises stringlengths 12 561 | formalized_conclusion stringlengths 2 69 | premises_fol stringlengths 45 1.43k | conclusion_fol stringlengths 8 189 | prompt stringlengths 41 1.12k | completion stringlengths 156 948 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1,126 | 406 | All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she is not a ... | Rina doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. | Premises:
All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she... | True | train | tasksource/folio | a = coffee
b = caffeine
c = rina | Pxy: x regularly drinks y
Qxy: x is dependent on y
Rxy: x wants to be addicted to y
Sxy: x is aware that y is a drug
Tx: x is a student | 1. Ax(Pxa -> Qxb)
2. Ax(Pxa or ~Rxb)
3. Ax(~Rxb -> ~Sxb)
4. ~(((Tc or ~Scb) & ~(Tc & ~Scb)))
5. ~(((Qcb or Tc) & ~(Qcb & Tc))) | (~Rcb or ~Scb) | ∀x (DrinkRegularly(x, coffee) → IsDependentOn(x, caffeine))
∀x (DrinkRegularly(x, coffee) ∨ (¬WantToBeAddictedTo(x, caffeine)))
∀x (¬WantToBeAddictedTo(x, caffeine) → ¬AwareThatDrug(x, caffeine))
¬(Student(rina) ⊕ ¬AwareThatDrug(rina, caffeine))
¬(IsDependentOn(rina, caffeine) ⊕ Student(rina)) | ¬WantToBeAddictedTo(rina, caffeine) ∨ (¬AwareThatDrug(rina, caffeine)) | All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she is not a ... | <constants>
a = coffee
b = caffeine
c = rina
</constants>
<predicates>
Pxy: x regularly drinks y
Qxy: x is dependent on y
Rxy: x wants to be addicted to y
Sxy: x is aware that y is a drug
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qxb)
2. Ax(Pxa or ~Rxb)
3. Ax(~Rxb -> ~Sxb)
4. ~(((Tc or ~Scb) & ~(Tc & ~Sc... |
1,127 | 406 | All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she is not a ... | Rina eith doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. | Premises:
All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she... | True | train | tasksource/folio | a = coffee
b = caffeine
c = rina | Pxy: x regularly drinks y
Qxy: x is dependent on y
Rxy: x wants to be addicted to y
Sxy: x is aware that y is a drug
Tx: x is a student | 1. Ax(Pxa -> Qxb)
2. Ax(Pxa or ~Rxb)
3. Ax(~Rxb -> ~Sxb)
4. ~(((Tc or ~Scb) & ~(Tc & ~Scb)))
5. ~(((Qcb or Tc) & ~(Qcb & Tc))) | ((~Rcb or ~Scb) & ~(~Rcb & ~Scb)) | ∀x (DrinkRegularly(x, coffee) → IsDependentOn(x, caffeine))
∀x (DrinkRegularly(x, coffee) ∨ (¬WantToBeAddictedTo(x, caffeine)))
∀x (¬WantToBeAddictedTo(x, caffeine) → ¬AwareThatDrug(x, caffeine))
¬(Student(rina) ⊕ ¬AwareThatDrug(rina, caffeine))
¬(IsDependentOn(rina, caffeine) ⊕ Student(rina)) | ¬WantToBeAddictedTo(rina, caffeine) ⊕ ¬AwareThatDrug(rina, caffeine) | All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she is not a ... | <constants>
a = coffee
b = caffeine
c = rina
</constants>
<predicates>
Pxy: x regularly drinks y
Qxy: x is dependent on y
Rxy: x wants to be addicted to y
Sxy: x is aware that y is a drug
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qxb)
2. Ax(Pxa or ~Rxb)
3. Ax(~Rxb -> ~Sxb)
4. ~(((Tc or ~Scb) & ~(Tc & ~Sc... |
20 | 8 | Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | Miroslav Venhoda loved music. | Premises:
Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant.
Hypothesis:
Miroslav Venhoda loved music.
Dec... | Uncertain | train | tasksource/folio | a = miroslav
b = renaissanceMusic
c = baroqueMusic
d = music
e = methodOfStudyingGregorianChant
f = yr1946 | Px: x is a czech
Qx: x is a choral conductor
Rxy: x specializes in performance of y
Sx: x is a musician
Txy: x loves y
Uxyz: x published y in z | 1. Pa
2. Qa
3. Rab
4. Rac
5. Ax(Qx -> Sx)
6. Ex(Ey(((Sx -> Txd)) & ((((~(x = y) & Sy)) -> Tyd))))
7. Uaef | Tad | Czech(miroslav) ∧ ChoralConductor(miroslav) ∧ SpecializeInPerformanceOf(miroslav, renaissanceMusic) ∧ SpecializeInPerformanceOf(miroslav, baroqueMusic)
∀x (ChoralConductor(x) → Musician(x))
∃x ∃y ((Musician(x) → Love(x, music)) ∧ (¬(x=y) ∧ Musician(y) → Love(y, music)))
PublishedBook(miroslav, methodOfStudyingGregorian... | Love(miroslav, music) | Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | <constants>
a = miroslav
b = renaissanceMusic
c = baroqueMusic
d = music
e = methodOfStudyingGregorianChant
f = yr1946
</constants>
<predicates>
Px: x is a czech
Qx: x is a choral conductor
Rxy: x specializes in performance of y
Sx: x is a musician
Txy: x loves y
Uxyz: x published y in z
</predicates>
<premises>
1. Pa
... |
21 | 8 | Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | A Czech published a book in 1946. | Premises:
Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant.
Hypothesis:
A Czech published a book in 1946.
... | True | train | tasksource/folio | a = miroslav
b = renaissanceMusic
c = baroqueMusic
d = music
e = methodOfStudyingGregorianChant
f = yr1946
g = year1946 | Px: x is a czech
Qx: x is a choral conductor
Rxy: x specializes in performance of y
Sx: x is a musician
Txy: x loves y
Uxyz: x published y in z | 1. Pa
2. Qa
3. Rab
4. Rac
5. Ax(Qx -> Sx)
6. Ex(Ey(((Sx -> Txd)) & ((((~(x = y) & Sy)) -> Tyd))))
7. Uaef | Ex(Ey(Px & Uxyg)) | Czech(miroslav) ∧ ChoralConductor(miroslav) ∧ SpecializeInPerformanceOf(miroslav, renaissanceMusic) ∧ SpecializeInPerformanceOf(miroslav, baroqueMusic)
∀x (ChoralConductor(x) → Musician(x))
∃x ∃y ((Musician(x) → Love(x, music)) ∧ (¬(x=y) ∧ Musician(y) → Love(y, music)))
PublishedBook(miroslav, methodOfStudyingGregorian... | ∃x ∃y (Czech(x) ∧ PublishedBook(x, y, year1946)) | Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | <constants>
a = miroslav
b = renaissanceMusic
c = baroqueMusic
d = music
e = methodOfStudyingGregorianChant
f = yr1946
g = year1946
</constants>
<predicates>
Px: x is a czech
Qx: x is a choral conductor
Rxy: x specializes in performance of y
Sx: x is a musician
Txy: x loves y
Uxyz: x published y in z
</predicates>
<pre... |
22 | 8 | Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | No choral conductor specialized in the performance of Renaissance. | Premises:
Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant.
Hypothesis:
No choral conductor specialized in... | False | train | tasksource/folio | a = miroslav
b = renaissanceMusic
c = baroqueMusic
d = music
e = methodOfStudyingGregorianChant
f = yr1946 | Px: x is a czech
Qx: x is a choral conductor
Rxy: x specializes in performance of y
Sx: x is a musician
Txy: x loves y
Uxyz: x published y in z | 1. Pa
2. Qa
3. Rab
4. Rac
5. Ax(Qx -> Sx)
6. Ex(Ey(((Sx -> Txd)) & ((((~(x = y) & Sy)) -> Tyd))))
7. Uaef | Ax(Qx -> ~Rxb) | Czech(miroslav) ∧ ChoralConductor(miroslav) ∧ SpecializeInPerformanceOf(miroslav, renaissanceMusic) ∧ SpecializeInPerformanceOf(miroslav, baroqueMusic)
∀x (ChoralConductor(x) → Musician(x))
∃x ∃y ((Musician(x) → Love(x, music)) ∧ (¬(x=y) ∧ Musician(y) → Love(y, music)))
PublishedBook(miroslav, methodOfStudyingGregorian... | ∀x (ChoralConductor(x) → ¬SpecializeInPerformanceOf(x, renaissanceMusic)) | Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music.
Any choral conductor is a musician.
Some musicians love music.
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | <constants>
a = miroslav
b = renaissanceMusic
c = baroqueMusic
d = music
e = methodOfStudyingGregorianChant
f = yr1946
</constants>
<predicates>
Px: x is a czech
Qx: x is a choral conductor
Rxy: x specializes in performance of y
Sx: x is a musician
Txy: x loves y
Uxyz: x published y in z
</predicates>
<premises>
1. Pa
... |
1,336 | 463 | All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant. | The sea eel is an eel. | Premises:
All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant.
H... | Uncertain | train | tasksource/folio | a = collection
b = seaEel | Px: x is an eel
Qx: x is a fish
Rx: x is a plant
Sxy: x displayed in y
Tx: x is an animal
Ux: x is a multicellular
Vx: x is a bacteria | 1. Ax(Px -> Qx)
2. Ax(Qx -> ~Rx)
3. Ax(Sxa -> (((Rx or Tx) & ~(Rx & Tx))))
4. Ax(Ux -> ~Vx)
5. Ax(((Sxa & Tx)) -> Ux)
6. Sba
7. (((Pb or Tb)) or ~Rb) | Pb | ∀x (Eel(x) → Fish(x))
∀x (Fish(x) → ¬Plant(x))
∀x (DisplayedIn(x, collection) → Plant(x) ⊕ Animal(x))
∀x (Multicellular(x) → ¬Bacteria(x))
∀x (DisplayedIn(x, collection) ∧ Animal(x) → Multicellular(x))
DisplayedIn(seaEel, collection)
Eel(seaEel) ∨ Animal(seaEel) ∨ ¬Plant(seaEel) | Eel(seaEel) | All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant. | <constants>
a = collection
b = seaEel
</constants>
<predicates>
Px: x is an eel
Qx: x is a fish
Rx: x is a plant
Sxy: x displayed in y
Tx: x is an animal
Ux: x is a multicellular
Vx: x is a bacteria
</predicates>
<premises>
1. Ax(Px -> Qx)
2. Ax(Qx -> ~Rx)
3. Ax(Sxa -> (((Rx or Tx) & ~(Rx & Tx))))
4. Ax(Ux -> ~Vx)
5. A... |
1,337 | 463 | All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant. | The sea eel is bacteria. | Premises:
All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant.
H... | False | train | tasksource/folio | a = collection
b = seaEel | Px: x is an eel
Qx: x is a fish
Rx: x is a plant
Sxy: x displayed in y
Tx: x is an animal
Ux: x is a multicellular
Vx: x is a bacteria | 1. Ax(Px -> Qx)
2. Ax(Qx -> ~Rx)
3. Ax(Sxa -> (((Rx or Tx) & ~(Rx & Tx))))
4. Ax(Ux -> ~Vx)
5. Ax(((Sxa & Tx)) -> Ux)
6. Sba
7. (((Pb or Tb)) or ~Rb) | Vb | ∀x (Eel(x) → Fish(x))
∀x (Fish(x) → ¬Plant(x))
∀x (DisplayedIn(x, collection) → Plant(x) ⊕ Animal(x))
∀x (Multicellular(x) → ¬Bacteria(x))
∀x (DisplayedIn(x, collection) ∧ Animal(x) → Multicellular(x))
DisplayedIn(seaEel, collection)
Eel(seaEel) ∨ Animal(seaEel) ∨ ¬Plant(seaEel) | Bacteria(seaEel) | All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant. | <constants>
a = collection
b = seaEel
</constants>
<predicates>
Px: x is an eel
Qx: x is a fish
Rx: x is a plant
Sxy: x displayed in y
Tx: x is an animal
Ux: x is a multicellular
Vx: x is a bacteria
</predicates>
<premises>
1. Ax(Px -> Qx)
2. Ax(Qx -> ~Rx)
3. Ax(Sxa -> (((Rx or Tx) & ~(Rx & Tx))))
4. Ax(Ux -> ~Vx)
5. A... |
1,338 | 463 | All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant. | The sea eel is multicellular or is bacteria. | Premises:
All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant.
H... | True | train | tasksource/folio | a = collection
b = seaEel | Px: x is an eel
Qx: x is a fish
Rx: x is a plant
Sxy: x displayed in y
Tx: x is an animal
Ux: x is a multicellular
Vx: x is a bacteria | 1. Ax(Px -> Qx)
2. Ax(Qx -> ~Rx)
3. Ax(Sxa -> (((Rx or Tx) & ~(Rx & Tx))))
4. Ax(Ux -> ~Vx)
5. Ax(((Sxa & Tx)) -> Ux)
6. Sba
7. (((Pb or Tb)) or ~Rb) | (Ub or Vb) | ∀x (Eel(x) → Fish(x))
∀x (Fish(x) → ¬Plant(x))
∀x (DisplayedIn(x, collection) → Plant(x) ⊕ Animal(x))
∀x (Multicellular(x) → ¬Bacteria(x))
∀x (DisplayedIn(x, collection) ∧ Animal(x) → Multicellular(x))
DisplayedIn(seaEel, collection)
Eel(seaEel) ∨ Animal(seaEel) ∨ ¬Plant(seaEel) | Multicellular(seaEel) ∨ Bacteria(seaEel) | All eels are fish.
No fish are plants.
Everything displayed in the collection is either a plant or an animal.
All multicellular animals are not bacteria.
All animals displayed in the collection are multicellular.
A sea eel is displayed in the collection.
The sea eel is an eel or an animal or not a plant. | <constants>
a = collection
b = seaEel
</constants>
<predicates>
Px: x is an eel
Qx: x is a fish
Rx: x is a plant
Sxy: x displayed in y
Tx: x is an animal
Ux: x is a multicellular
Vx: x is a bacteria
</predicates>
<premises>
1. Ax(Px -> Qx)
2. Ax(Qx -> ~Rx)
3. Ax(Sxa -> (((Rx or Tx) & ~(Rx & Tx))))
4. Ax(Ux -> ~Vx)
5. A... |
393 | 133 | The Blake McFall Company Building is a building added to the National Register of Historic Places in 1990.
The Emmet Building is a five-story building in Portland, Oregon.
The Emmet Building was built in 1915.
The Emmet Building is another name for the Blake McFall Company Building.
John works at the Emmet Building. | The Blake McFall Company Building is located in Portland, Oregon. | Premises:
The Blake McFall Company Building is a building added to the National Register of Historic Places in 1990.
The Emmet Building is a five-story building in Portland, Oregon.
The Emmet Building was built in 1915.
The Emmet Building is another name for the Blake McFall Company Building.
John works at the Emmet Bu... | True | train | tasksource/folio | a = blakeMcFallCompanyBuilding
b = theNationalRegisterOfHistoricPlaces
c = year1990
d = emmetBuilding
e = portland
f = oregon
g = year1915
h = emmetBuiling
i = john | Px: x is building
Qxyz: x added to in y z
Rx: x is a five story
Sxy: x located in y
Txy: x built in y
Uxy: x work at y | 1. Pa
2. Qabc
3. Pd
4. Rd
5. Sde
6. Sef
7. Tdg
8. h = a
9. Uid | Sae | Building(blakeMcFallCompanyBuilding) ∧ AddedToIn(blakeMcFallCompanyBuilding, theNationalRegisterOfHistoricPlaces, year1990)
Building(emmetBuilding) ∧ Five-Story(emmetBuilding) ∧ LocatedIn(emmetBuilding, portland) ∧ LocatedIn(portland, oregon))
BuiltIn(emmetBuilding, year1915)
emmetBuiling=blakeMcFallCompanyBuilding
Wor... | LocatedIn(blakeMcFallCompanyBuilding, portland) | The Blake McFall Company Building is a building added to the National Register of Historic Places in 1990.
The Emmet Building is a five-story building in Portland, Oregon.
The Emmet Building was built in 1915.
The Emmet Building is another name for the Blake McFall Company Building.
John works at the Emmet Building. | <constants>
a = blakeMcFallCompanyBuilding
b = theNationalRegisterOfHistoricPlaces
c = year1990
d = emmetBuilding
e = portland
f = oregon
g = year1915
h = emmetBuiling
i = john
</constants>
<predicates>
Px: x is building
Qxyz: x added to in y z
Rx: x is a five story
Sxy: x located in y
Txy: x built in y
Uxy: x work at ... |
636 | 226 | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | William Dickinson did not get a seat in Parliament. | Premises:
William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who s... | True | train | tasksource/folio | a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament | Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy: x supported y | 1. Pa
2. Qa
3. Rab
4. Sac
5. Tc
6. Sad
7. Ud
8. Vde
9. Waf
10. Ax(Wxf -> ~Rxg) | Rag | British(williamDickinson) ∧ Politician(williamDickinson) ∧ SatIn(williamDickinson, houseOfCommons)
Attended(williamDickinson, westminsterSchool) ∧ Highschool(westminsterSchool) ∧ Attended(williamDickinson, universityOfEdinburgh)
University(universityOfEdinburgh) ∧ LocatedIn(universityOfEdinburgh, unitedKingdom)
Support... | SatIn(williamDickinson, parliament) | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | <constants>
a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament
</constants>
<predicates>
Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy... |
637 | 226 | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | William Dickinson went to schools located in the United Kingdom for both high school and university. | Premises:
William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who s... | Uncertain | train | tasksource/folio | a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament | Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy: x supported y | 1. Pa
2. Qa
3. Rab
4. Sac
5. Tc
6. Sad
7. Ud
8. Vde
9. Waf
10. Ax(Wxf -> ~Rxg) | Ex(Ey(((((((((Sax & Tx)) & Vxe)) & Say)) & Uy)) & Vye)) | British(williamDickinson) ∧ Politician(williamDickinson) ∧ SatIn(williamDickinson, houseOfCommons)
Attended(williamDickinson, westminsterSchool) ∧ Highschool(westminsterSchool) ∧ Attended(williamDickinson, universityOfEdinburgh)
University(universityOfEdinburgh) ∧ LocatedIn(universityOfEdinburgh, unitedKingdom)
Support... | ∃x ∃y (Attended(williamDickinson, x) ∧ Highschool(x) ∧ LocatedIn(x, unitedKingdom) ∧ Attended(williamDickinson, y) ∧ University(y) ∧ LocatedIn(y, unitedKingdom)) | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | <constants>
a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament
</constants>
<predicates>
Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy... |
638 | 226 | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | William Dickinson attended university in the United Kingdom. | Premises:
William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who s... | True | train | tasksource/folio | a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament | Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy: x supported y | 1. Pa
2. Qa
3. Rab
4. Sac
5. Tc
6. Sad
7. Ud
8. Vde
9. Waf
10. Ax(Wxf -> ~Rxg) | Ex(((Sax & Ux)) & Vxe) | British(williamDickinson) ∧ Politician(williamDickinson) ∧ SatIn(williamDickinson, houseOfCommons)
Attended(williamDickinson, westminsterSchool) ∧ Highschool(westminsterSchool) ∧ Attended(williamDickinson, universityOfEdinburgh)
University(universityOfEdinburgh) ∧ LocatedIn(universityOfEdinburgh, unitedKingdom)
Support... | ∃x (Attended(williamDickinson, x) ∧ University(x) ∧ LocatedIn(x, unitedKingdom)) | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | <constants>
a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament
</constants>
<predicates>
Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy... |
639 | 226 | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | William Dickinson sat in the House of Commons. | Premises:
William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who s... | True | train | tasksource/folio | a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament | Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy: x supported y | 1. Pa
2. Qa
3. Rab
4. Sac
5. Tc
6. Sad
7. Ud
8. Vde
9. Waf
10. Ax(Wxf -> ~Rxg) | Rab | British(williamDickinson) ∧ Politician(williamDickinson) ∧ SatIn(williamDickinson, houseOfCommons)
Attended(williamDickinson, westminsterSchool) ∧ Highschool(westminsterSchool) ∧ Attended(williamDickinson, universityOfEdinburgh)
University(universityOfEdinburgh) ∧ LocatedIn(universityOfEdinburgh, unitedKingdom)
Support... | SatIn(williamDickinson, houseOfCommons) | William Dickinson was a British politician who sat in the House of Commons
William Dickinson attended Westminster school for high school and then the University of Edinburgh.
The University of Edinburgh is a university located in the United Kingdom.
William Dickinson supported the Portland Whigs.
People who supported t... | <constants>
a = williamDickinson
b = houseOfCommons
c = westminsterSchool
d = universityOfEdinburgh
e = unitedKingdom
f = portlandWhigs
g = parliament
</constants>
<predicates>
Px: x is a british
Qx: x is a politician
Rxy: x sat in y
Sxy: x attended y
Tx: x is a highschool
Ux: x is an university
Vxy: x located in y
Wxy... |
690 | 247 | LanguageA is a universal language
If a universal language exists, then for every two people if they both know the same universal language they can communicate.
Katya cannot communicate with Danil.
Katya knows LanguageA. | Danil knows LanguageA. | Premises:
LanguageA is a universal language
If a universal language exists, then for every two people if they both know the same universal language they can communicate.
Katya cannot communicate with Danil.
Katya knows LanguageA.
Hypothesis:
Danil knows LanguageA.
Decide whether the hypothesis is entailed by the prem... | False | train | tasksource/folio | a = languageA
b = katya
c = danil | Px: x is an universal language
Qxy: x know y
Rxy: x can communicate with y | 1. Pa
2. Ax(Ay((Ez(((((~(x = y) & Qxz)) & Qyz)) & Pz)) -> ((Rxy & Ryx))))
3. ~Rbc
4. Qba | Qca | UniversalLanguage(languageA)
∀x ∀y (∃z (¬(x=y) ∧ Know(x, z) ∧ Know(y, z) ∧ UniversalLanguage(z)) → CanCommunicateWith(x, y) ∧ CanCommunicateWith(y, x))
¬CanCommunicateWith(katya, danil)
Know(katya, languageA) | Know(danil, languageA) | LanguageA is a universal language
If a universal language exists, then for every two people if they both know the same universal language they can communicate.
Katya cannot communicate with Danil.
Katya knows LanguageA. | <constants>
a = languageA
b = katya
c = danil
</constants>
<predicates>
Px: x is an universal language
Qxy: x know y
Rxy: x can communicate with y
</predicates>
<premises>
1. Pa
2. Ax(Ay((Ez(((((~(x = y) & Qxz)) & Qyz)) & Pz)) -> ((Rxy & Ryx))))
3. ~Rbc
4. Qba
</premises>
|
1,192 | 422 | All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer TV series w... | Lily goes to cinemas every week. | Premises:
All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer T... | Uncertain | train | tasksource/folio | a = jameSFamily
b = aMCAList
c = cinema
d = hBO
e = tVSeries
f = tV
g = lily | Px: x is a customer
Qxy: x is in y
Rxy: x subscribed to y
Sx: x is an eligible for three free movies every week without additional fees
Txy: x go to every week y
Uxy: x prefer y
Vxyz: x watch in y z | 1. Ax(((((Px & Qxa)) & Rxb)) -> Sx)
2. Ex(Ey(((((((((((Px & Qxa)) & Txc)) & ~(x = y))) & Py)) & Qya)) & Tyc))
3. Ax(((Px & Qxa)) & ((Rxb or Rxd)))
4. Ax(((((Px & Qxa)) & Uxe)) -> ~Vxfc)
5. Ax(((((Px & Qxa)) & Rxd)) -> Uxe)
6. Pg
7. Qga
8. Vgfc | Tgc | ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, aMCAList)) → EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(x))
∃x ∃y (Customer(x) ∧ In(x, jameSFamily) ∧ GoToEveryWeek(x, cinema) ∧ (¬(x=y)) ∧ Customer(y) ∧ In(y, jameSFamily) ∧ GoToEveryWeek(y, cinema))
∀x (Customer(x) ∧ In(x, jameSFamily) ∧ (Subscrib... | GoToEveryWeek(lily, cinema) | All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer TV series w... | <constants>
a = jameSFamily
b = aMCAList
c = cinema
d = hBO
e = tVSeries
f = tV
g = lily
</constants>
<predicates>
Px: x is a customer
Qxy: x is in y
Rxy: x subscribed to y
Sx: x is an eligible for three free movies every week without additional fees
Txy: x go to every week y
Uxy: x prefer y
Vxyz: x watch in y z
</pred... |
1,193 | 422 | All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer TV series w... | Lily does not go to cinemas every week. | Premises:
All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer T... | Uncertain | train | tasksource/folio | a = jameSFamily
b = aMCAList
c = cinema
d = hBO
e = tVSeries
f = tV
g = lily | Px: x is a customer
Qxy: x is in y
Rxy: x subscribed to y
Sx: x is an eligible for three free movies every week without additional fees
Txy: x go to every week y
Uxy: x prefer y
Vxyz: x watch in y z | 1. Ax(((((Px & Qxa)) & Rxb)) -> Sx)
2. Ex(Ey(((((((((((Px & Qxa)) & Txc)) & ~(x = y))) & Py)) & Qya)) & Tyc))
3. Ax(((Px & Qxa)) & ((Rxb or Rxd)))
4. Ax(((((Px & Qxa)) & Uxe)) -> ~Vxfc)
5. Ax(((((Px & Qxa)) & Rxd)) -> Uxe)
6. Pg
7. Qga
8. Vgfc | ~Tgc | ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, aMCAList)) → EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(x))
∃x ∃y (Customer(x) ∧ In(x, jameSFamily) ∧ GoToEveryWeek(x, cinema) ∧ (¬(x=y)) ∧ Customer(y) ∧ In(y, jameSFamily) ∧ GoToEveryWeek(y, cinema))
∀x (Customer(x) ∧ In(x, jameSFamily) ∧ (Subscrib... | ¬GoToEveryWeek(lily, cinema) | All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer TV series w... | <constants>
a = jameSFamily
b = aMCAList
c = cinema
d = hBO
e = tVSeries
f = tV
g = lily
</constants>
<predicates>
Px: x is a customer
Qxy: x is in y
Rxy: x subscribed to y
Sx: x is an eligible for three free movies every week without additional fees
Txy: x go to every week y
Uxy: x prefer y
Vxyz: x watch in y z
</pred... |
1,196 | 422 | All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer TV series w... | If Lily is available to watch 3 movies every week without any additional fees and she watches TV series in cinemas, then she goes to cinemas every week and prefers TV series more. | Premises:
All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer T... | False | train | tasksource/folio | a = jameSFamily
b = aMCAList
c = cinema
d = hBO
e = tVSeries
f = tV
g = lily | Px: x is a customer
Qxy: x is in y
Rxy: x subscribed to y
Sx: x is an eligible for three free movies every week without additional fees
Txy: x go to every week y
Uxy: x prefer y
Vxyz: x watch in y z | 1. Ax(((((Px & Qxa)) & Rxb)) -> Sx)
2. Ex(Ey(((((((((((Px & Qxa)) & Txc)) & ~(x = y))) & Py)) & Qya)) & Tyc))
3. Ax(((Px & Qxa)) & ((Rxb or Rxd)))
4. Ax(((((Px & Qxa)) & Uxe)) -> ~Vxfc)
5. Ax(((((Px & Qxa)) & Rxd)) -> Uxe)
6. Pg
7. Qga
8. Vgfc | (((Sg & Vgfc)) -> ((Tgc & Uge))) | ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, aMCAList)) → EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(x))
∃x ∃y (Customer(x) ∧ In(x, jameSFamily) ∧ GoToEveryWeek(x, cinema) ∧ (¬(x=y)) ∧ Customer(y) ∧ In(y, jameSFamily) ∧ GoToEveryWeek(y, cinema))
∀x (Customer(x) ∧ In(x, jameSFamily) ∧ (Subscrib... | (EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(lily) ∧ WatchIn(lily, tV, cinema)) → (GoToEveryWeek(lily, cinema) ∧ Prefer(lily, tVSeries)) | All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees.
Some of the customers in James' family go to the cinema every week.
Customers in James' family subscribe to AMC A-List or HBO service.
Customers in James' family who prefer TV series w... | <constants>
a = jameSFamily
b = aMCAList
c = cinema
d = hBO
e = tVSeries
f = tV
g = lily
</constants>
<predicates>
Px: x is a customer
Qxy: x is in y
Rxy: x subscribed to y
Sx: x is an eligible for three free movies every week without additional fees
Txy: x go to every week y
Uxy: x prefer y
Vxyz: x watch in y z
</pred... |
550 | 193 | A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points.
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher.
Real Madrid and Barcelona are both La Liga soccer ... | Real Madrid ranks higher than Barcelona. | Premises:
A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points.
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher.
Real Madrid and Barcelona are both La Li... | True | train | tasksource/folio | a = realMadrid
b = barcelona | Px: x is a la liga soccer team
Qxy: x more points y
Rxy: x rank higher than y
Sxy: x more points in game between y | 1. Ax(Ay(((((Px & Py)) & Qxy)) -> Rxy))
2. Ax(Ay(((((((((Px & Py)) & ~Qxy)) & ~Qyx)) & Sxy)) -> Rxy))
3. Pa
4. Pb
5. Qab
6. ~Sab
7. ~Sba | Rab | ∀x ∀y (LaLigaSoccerTeam(x) ∧ LaLigaSoccerTeam(y) ∧ MorePoints(x, y) → RankHigherThan(x, y))
∀x ∀y (LaLigaSoccerTeam(x) ∧ LaLigaSoccerTeam(y) ∧ ¬MorePoints(x, y) ∧ ¬MorePoints(y, x) ∧ MorePointsInGameBetween(x, y) → RankHigherThan(x, y))
LaLigaSoccerTeam(realMadrid) ∧ LaLigaSoccerTeam(barcelona)
MorePoints(realMadrid, ... | RankHigherThan(realMadrid, barcelona) | A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points.
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher.
Real Madrid and Barcelona are both La Liga soccer ... | <constants>
a = realMadrid
b = barcelona
</constants>
<predicates>
Px: x is a la liga soccer team
Qxy: x more points y
Rxy: x rank higher than y
Sxy: x more points in game between y
</predicates>
<premises>
1. Ax(Ay(((((Px & Py)) & Qxy)) -> Rxy))
2. Ax(Ay(((((((((Px & Py)) & ~Qxy)) & ~Qyx)) & Sxy)) -> Rxy))
3. Pa
4. Pb... |
551 | 193 | A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points.
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher.
Real Madrid and Barcelona are both La Liga soccer ... | Barcelona ranks higher than Real Madrid. | Premises:
A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points.
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher.
Real Madrid and Barcelona are both La Li... | False | train | tasksource/folio | a = realMadrid
b = barcelona | Px: x is a la liga soccer team
Qxy: x more points y
Rxy: x rank higher than y
Sxy: x more points in game between y | 1. Ax(Ay(((((Px & Py)) & Qxy)) -> Rxy))
2. Ax(Ay(((((((((Px & Py)) & ~Qxy)) & ~Qyx)) & Sxy)) -> Rxy))
3. Pa
4. Pb
5. Qab
6. ~Sab
7. ~Sba | Rba | ∀x ∀y (LaLigaSoccerTeam(x) ∧ LaLigaSoccerTeam(y) ∧ MorePoints(x, y) → RankHigherThan(x, y))
∀x ∀y (LaLigaSoccerTeam(x) ∧ LaLigaSoccerTeam(y) ∧ ¬MorePoints(x, y) ∧ ¬MorePoints(y, x) ∧ MorePointsInGameBetween(x, y) → RankHigherThan(x, y))
LaLigaSoccerTeam(realMadrid) ∧ LaLigaSoccerTeam(barcelona)
MorePoints(realMadrid, ... | RankHigherThan(barcelona, realMadrid) | A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points.
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher.
Real Madrid and Barcelona are both La Liga soccer ... | <constants>
a = realMadrid
b = barcelona
</constants>
<predicates>
Px: x is a la liga soccer team
Qxy: x more points y
Rxy: x rank higher than y
Sxy: x more points in game between y
</predicates>
<premises>
1. Ax(Ay(((((Px & Py)) & Qxy)) -> Rxy))
2. Ax(Ay(((((((((Px & Py)) & ~Qxy)) & ~Qyx)) & Sxy)) -> Rxy))
3. Pa
4. Pb... |
249 | 82 | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | Tom uses the zip code 98199. | Premises:
Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199.
Hypothesis:
Tom uses the zip code 98199.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False, Uncert... | True | train | tasksource/folio | a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel | Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y | 1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec | Rdc | NeighbourhoodIn(lawtonPark, seattle)
∀x (Residentof(x, lawtonPark) → UseZipCode(x, num98199))
ResidentOf(tom, lawtonPark)
UseZipCode(daniel, num98199) | UseZipCode(tom, num98199) | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | <constants>
a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel
</constants>
<predicates>
Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y
</predicates>
<premises>
1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec
</premises>
|
250 | 82 | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | Tom doesn't use the zip code 98199. | Premises:
Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199.
Hypothesis:
Tom doesn't use the zip code 98199.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False,... | False | train | tasksource/folio | a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel | Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y | 1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec | ~Rdc | NeighbourhoodIn(lawtonPark, seattle)
∀x (Residentof(x, lawtonPark) → UseZipCode(x, num98199))
ResidentOf(tom, lawtonPark)
UseZipCode(daniel, num98199) | ¬UseZipCode(tom, num98199) | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | <constants>
a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel
</constants>
<predicates>
Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y
</predicates>
<premises>
1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec
</premises>
|
251 | 82 | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | Tom is a citizen of Washington. | Premises:
Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199.
Hypothesis:
Tom is a citizen of Washington.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False, Unc... | Uncertain | train | tasksource/folio | a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel
f = washington | Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y | 1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec | Sdf | NeighbourhoodIn(lawtonPark, seattle)
∀x (Residentof(x, lawtonPark) → UseZipCode(x, num98199))
ResidentOf(tom, lawtonPark)
UseZipCode(daniel, num98199) | ResidentOf(tom, washington) | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | <constants>
a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel
f = washington
</constants>
<predicates>
Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y
</predicates>
<premises>
1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec
</premises>
|
252 | 82 | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | Daniel is a citizen of Lawton Park. | Premises:
Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199.
Hypothesis:
Daniel is a citizen of Lawton Park.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False,... | Uncertain | train | tasksource/folio | a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel | Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y | 1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec | Sea | NeighbourhoodIn(lawtonPark, seattle)
∀x (Residentof(x, lawtonPark) → UseZipCode(x, num98199))
ResidentOf(tom, lawtonPark)
UseZipCode(daniel, num98199) | ResidentOf(daniel, lawtonPark) | Lawton Park is a neighborhood in Seattle.
All citizens of Lawton Park use the zip code 98199.
Tom is a citizen of Lawton Park.
Daniel uses the zip code 98199. | <constants>
a = lawtonPark
b = seattle
c = num98199
d = tom
e = daniel
</constants>
<predicates>
Pxy: x neighbourhood in y
Qxy: x residentof y
Rxy: x use zip code y
Sxy: x resident of y
</predicates>
<premises>
1. Pab
2. Ax(Qxa -> Rxc)
3. Sda
4. Rec
</premises>
|
261 | 86 | If a legislator is found guilty of stealing government funds, they will be suspended from office.
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013.
Tiffany T. Alston was found guilty of stealing government funds in 2012. | Tiffany T. Alston was suspended from the Maryland House of Delegates. | Premises:
If a legislator is found guilty of stealing government funds, they will be suspended from office.
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013.
Tiffany T. Alston was found guilty of stealing government funds in 2012.
Hypothesis:
Tiffany T. Alston was suspended from th... | True | train | tasksource/folio | a = tiffanyTAlston
b = yr2012 | Px: x is a legislator
Qx: x is a steals funds
Rx: x is suspended
Sxy: x steals funds in yr y | 1. Ax(((Px & Qx)) -> Rx)
2. Pa
3. Qa
4. Sab | Ra | ∀x ((Legislator(x) ∧ StealsFunds(x)) → Suspended(x))
Legislator(tiffanyTAlston)
StealsFunds(tiffanyTAlston) ∧ StealsFundsInYr(tiffanyTAlston, yr2012) | Suspended(tiffanyTAlston) | If a legislator is found guilty of stealing government funds, they will be suspended from office.
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013.
Tiffany T. Alston was found guilty of stealing government funds in 2012. | <constants>
a = tiffanyTAlston
b = yr2012
</constants>
<predicates>
Px: x is a legislator
Qx: x is a steals funds
Rx: x is suspended
Sxy: x steals funds in yr y
</predicates>
<premises>
1. Ax(((Px & Qx)) -> Rx)
2. Pa
3. Qa
4. Sab
</premises>
|
262 | 86 | If a legislator is found guilty of stealing government funds, they will be suspended from office.
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013.
Tiffany T. Alston was found guilty of stealing government funds in 2012. | Tiffany T. Alston was not suspended from the Maryland House of Delegates. | Premises:
If a legislator is found guilty of stealing government funds, they will be suspended from office.
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013.
Tiffany T. Alston was found guilty of stealing government funds in 2012.
Hypothesis:
Tiffany T. Alston was not suspended fro... | False | train | tasksource/folio | a = tiffanyTAlston
b = yr2012 | Px: x is a legislator
Qx: x is a steals funds
Rx: x is suspended
Sxy: x steals funds in yr y | 1. Ax(((Px & Qx)) -> Rx)
2. Pa
3. Qa
4. Sab | ~Ra | ∀x ((Legislator(x) ∧ StealsFunds(x)) → Suspended(x))
Legislator(tiffanyTAlston)
StealsFunds(tiffanyTAlston) ∧ StealsFundsInYr(tiffanyTAlston, yr2012) | ¬Suspended(tiffanyTAlston) | If a legislator is found guilty of stealing government funds, they will be suspended from office.
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013.
Tiffany T. Alston was found guilty of stealing government funds in 2012. | <constants>
a = tiffanyTAlston
b = yr2012
</constants>
<predicates>
Px: x is a legislator
Qx: x is a steals funds
Rx: x is suspended
Sxy: x steals funds in yr y
</predicates>
<premises>
1. Ax(((Px & Qx)) -> Rx)
2. Pa
3. Qa
4. Sab
</premises>
|
491 | 171 | Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom. | If a stonefish stings you and you don’t use an antivenom, it can cause death to you. | Premises:
Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom.
Hypothesis:
If a stonefish stings you and you don’t use an antiv... | Uncertain | train | tasksource/folio | a = stonefish | Px: x is a fish
Qxy: x sting y
Rxy: x stepped on by y
Sx: x is treated
Txy: x cause death to y
Ux: x is an apply heat to
Vx: x is an use antivenom on | 1. Ex(Ey(Px -> Qxy))
2. Pa
3. Ax(Rax -> Qax)
4. Ax(((Qax & ~Sx)) -> Tax)
5. Ax(((Qax & ((Ux or Vx)))) -> Sx) | Ax(((Qax & ~Vx)) -> Tax) | ∃x ∃y (Fish(x) → Sting(x,y))
Fish(stonefish)
∀x (SteppedOnBy(stonefish, x) → Sting(stonefish, x))
∀x (Sting(stonefish, x) ∧ ¬Treated(x) → CauseDeathTo(stonefish, x))
∀x (Sting(stonefish, x) ∧ (ApplyHeatTo(x) ∨ UseAntivenomOn(x)) → Treated(x)) | ∀x (Sting(stonefish, x) ∧ ¬UseAntivenomOn(x) → CauseDeathTo(stonefish, x)) | Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom. | <constants>
a = stonefish
</constants>
<predicates>
Px: x is a fish
Qxy: x sting y
Rxy: x stepped on by y
Sx: x is treated
Txy: x cause death to y
Ux: x is an apply heat to
Vx: x is an use antivenom on
</predicates>
<premises>
1. Ex(Ey(Px -> Qxy))
2. Pa
3. Ax(Rax -> Qax)
4. Ax(((Qax & ~Sx)) -> Tax)
5. Ax(((Qax & ((Ux o... |
492 | 171 | Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom. | Stings of some fish can cause death if not treated. | Premises:
Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom.
Hypothesis:
Stings of some fish can cause death if not treated.
... | True | train | tasksource/folio | a = stonefish | Px: x is a fish
Qxy: x sting y
Rxy: x stepped on by y
Sx: x is treated
Txy: x cause death to y
Ux: x is an apply heat to
Vx: x is an use antivenom on | 1. Ex(Ey(Px -> Qxy))
2. Pa
3. Ax(Rax -> Qax)
4. Ax(((Qax & ~Sx)) -> Tax)
5. Ax(((Qax & ((Ux or Vx)))) -> Sx) | Ex(Ey(((((Px & Qxy)) & ~Sy)) -> Txy)) | ∃x ∃y (Fish(x) → Sting(x,y))
Fish(stonefish)
∀x (SteppedOnBy(stonefish, x) → Sting(stonefish, x))
∀x (Sting(stonefish, x) ∧ ¬Treated(x) → CauseDeathTo(stonefish, x))
∀x (Sting(stonefish, x) ∧ (ApplyHeatTo(x) ∨ UseAntivenomOn(x)) → Treated(x)) | ∃x ∃y (Fish(x) ∧ Sting(x, y) ∧ ¬Treated(y) → CauseDeathTo(x, y)) | Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom. | <constants>
a = stonefish
</constants>
<predicates>
Px: x is a fish
Qxy: x sting y
Rxy: x stepped on by y
Sx: x is treated
Txy: x cause death to y
Ux: x is an apply heat to
Vx: x is an use antivenom on
</predicates>
<premises>
1. Ex(Ey(Px -> Qxy))
2. Pa
3. Ax(Rax -> Qax)
4. Ax(((Qax & ~Sx)) -> Tax)
5. Ax(((Qax & ((Ux o... |
493 | 171 | Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom. | If you step on a stonefish and apply heat to the affected area, it can cause death to you. | Premises:
Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom.
Hypothesis:
If you step on a stonefish and apply heat to the aff... | Uncertain | train | tasksource/folio | a = stonefish | Px: x is a fish
Qxy: x sting y
Rxy: x stepped on by y
Sx: x is treated
Txy: x cause death to y
Ux: x is an apply heat to
Vx: x is an use antivenom on | 1. Ex(Ey(Px -> Qxy))
2. Pa
3. Ax(Rax -> Qax)
4. Ax(((Qax & ~Sx)) -> Tax)
5. Ax(((Qax & ((Ux or Vx)))) -> Sx) | Ax(((Rax & Ux)) -> Tax) | ∃x ∃y (Fish(x) → Sting(x,y))
Fish(stonefish)
∀x (SteppedOnBy(stonefish, x) → Sting(stonefish, x))
∀x (Sting(stonefish, x) ∧ ¬Treated(x) → CauseDeathTo(stonefish, x))
∀x (Sting(stonefish, x) ∧ (ApplyHeatTo(x) ∨ UseAntivenomOn(x)) → Treated(x)) | ∀x (SteppedOnBy(stonefish, x) ∧ ApplyHeatTo(x) → CauseDeathTo(stonefish, x)) | Some fish stings people.
Stonefish is a fish.
Stonefish stings when stepped on.
If a stonefish stings someone and they are not treated, it can cause death to them.
To treat stonefish stings, apply heat to the affected area or use an antivenom. | <constants>
a = stonefish
</constants>
<predicates>
Px: x is a fish
Qxy: x sting y
Rxy: x stepped on by y
Sx: x is treated
Txy: x cause death to y
Ux: x is an apply heat to
Vx: x is an use antivenom on
</predicates>
<premises>
1. Ex(Ey(Px -> Qxy))
2. Pa
3. Ax(Rax -> Qax)
4. Ax(((Qax & ~Sx)) -> Tax)
5. Ax(((Qax & ((Ux o... |
1,173 | 417 | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | The monitor L-2021 is in the library. | Premises:
Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither i... | Uncertain | train | tasksource/folio | a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021 | Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y | 1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((Px & Txd)) -> Sxc)
4. Pe
5. ((Ted or Reb) & ~(Ted & Reb))
6. ~(((Sec or Qea) & ~(Sec & Qea))) | Ted | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBefore... | In(l-2021, library) | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | <constants>
a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021
</constants>
<predicates>
Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y
</predicates>
<premises>
1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((P... |
1,174 | 417 | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | The monitor L-2021 is either in the library or produced by LG. | Premises:
Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither i... | False | train | tasksource/folio | a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021 | Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y | 1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((Px & Txd)) -> Sxc)
4. Pe
5. ((Ted or Reb) & ~(Ted & Reb))
6. ~(((Sec or Qea) & ~(Sec & Qea))) | ((Ted or Qea) & ~(Ted & Qea)) | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBefore... | In(l-2021, library) ⊕ ProducedBy(l-2021, lG) | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | <constants>
a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021
</constants>
<predicates>
Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y
</predicates>
<premises>
1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((P... |
1,175 | 417 | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | The L-2021 monitor either has a type-c port or is produced by LG. | Premises:
Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither i... | True | train | tasksource/folio | a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021 | Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y | 1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((Px & Txd)) -> Sxc)
4. Pe
5. ((Ted or Reb) & ~(Ted & Reb))
6. ~(((Sec or Qea) & ~(Sec & Qea))) | ((Reb or Qea) & ~(Reb & Qea)) | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBefore... | Have(l-2021, typeCPort) ⊕ ProducedBy(l-2021, lG) | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | <constants>
a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021
</constants>
<predicates>
Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y
</predicates>
<premises>
1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((P... |
1,176 | 417 | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | If the L-2021 monitor is either in the library and produced by LG, or neither in the library nor produced by LG, then L-2021 neither has a type-c port nor is produced by LG. | Premises:
Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither i... | False | train | tasksource/folio | a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021 | Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y | 1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((Px & Txd)) -> Sxc)
4. Pe
5. ((Ted or Reb) & ~(Ted & Reb))
6. ~(((Sec or Qea) & ~(Sec & Qea))) | Ex(~(((Ted or Qea) & ~(Ted & Qea))) -> ((~Rxb & ~Qxa))) | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBefore... | ¬(In(l-2021, library) ⊕ ProducedBy(l-2021, lG)) → (¬Have(x, typeCPort) ∧ ¬ProducedBy(x, lG)) | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | <constants>
a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021
</constants>
<predicates>
Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y
</predicates>
<premises>
1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((P... |
1,177 | 417 | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | If the monitor L-2021 is either produced by LG and produced before 2010 or neither produced by LG nor produced before 2010, then L-2021 is either in the library or produced by LG. | Premises:
Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither i... | False | train | tasksource/folio | a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021
f = year2010 | Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y | 1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~Sxc)
3. Ax(((Px & Txd)) -> Sxc)
4. Pe
5. ((Ted or Reb) & ~(Ted & Reb))
6. ~(((Sec or Qea) & ~(Sec & Qea))) | (~(((Sef or Qea) & ~(Sef & Qea))) -> (((Ted or Qea) & ~(Ted & Qea)))) | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBefore... | ¬(ProducedBefore(l-2021, year2010) ⊕ ProducedBy(l-2021, lG)) → (In(l-2021, library) ⊕ ProducedBy(l-2021, lG)) | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | <constants>
a = lG
b = typeCPort
c = yr2010
d = library
e = l_2021
f = year2010
</constants>
<predicates>
Px: x is a monitor
Qxy: x is produced by y
Rxy: x has y
Sxy: x was produced before y
Txy: x is in y
</predicates>
<premises>
1. Ex(Ey(((((((((((Py & Qya)) & Ryb)) & ~(y = x))) & Px)) & Qxa)) & Rxb))
2. Ax(Rxb -> ~S... |
1,005 | 377 | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22 is n... | PSO J318.5−22 is an orphan planet. | Premises:
Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318... | Uncertain | train | tasksource/folio | a = solarSystem
b = star
c = sun
d = gravitationally
e = pSOJ318_5_22 | Pxy: x outside y
Qxy: x is in y
Rxy: x sun as y
Sxyz: x bound by y z
Tx: x is a planet
Ux: x is a rogue
Vx: x is an orphan | 1. Ax((Pxa or Qxa) & ~(Pxa & Qxa))
2. Ax(Pxa -> ~Rxb)
3. Ax(Qxa -> Sxcd)
4. Ax(((Tx & Sxcd)) -> ~((Tx & Ux)))
5. Ax(((Tx & Vx)) -> ((Tx & Ux)))
6. (~((((Te & Ue)) & Secd)) -> ((Te & Ue))) | (Te & Ve) | ∀x (Outside(x, solarSystem) ⊕ In(x, solarSystem))
∀x (Outside(x, solarSystem) → ¬SunAs(x, star))
∀x (In(x, solarSystem) → BoundBy(x, sun, gravitationally))
∀x (Planet(x) ∧ BoundBy(x, sun, gravitationally) → ¬(Planet(x) ∧ Rogue(x)))
∀x (Planet(x) ∧ Orphan(x) → Planet(x) ∧ Rogue(x))
¬(Planet(pSOJ318.5-22) ∧ Rogue(pSOJ318... | Planet(pSOJ318.5-22) ∧ Orphan(pSOJ318.5-22) | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22 is n... | <constants>
a = solarSystem
b = star
c = sun
d = gravitationally
e = pSOJ318_5_22
</constants>
<predicates>
Pxy: x outside y
Qxy: x is in y
Rxy: x sun as y
Sxyz: x bound by y z
Tx: x is a planet
Ux: x is a rogue
Vx: x is an orphan
</predicates>
<premises>
1. Ax((Pxa or Qxa) & ~(Pxa & Qxa))
2. Ax(Pxa -> ~Rxb)
3. Ax(Qxa ... |
1,006 | 377 | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22 is n... | PSO J318.5−22 is an orphan planet or it does not have the Sun as its star, or both. | Premises:
Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318... | True | train | tasksource/folio | a = solarSystem
b = star
c = sun
d = gravitationally
e = pSOJ318_5_22 | Pxy: x outside y
Qxy: x is in y
Rxy: x sun as y
Sxyz: x bound by y z
Tx: x is a planet
Ux: x is a rogue
Vx: x is an orphan | 1. Ax((Pxa or Qxa) & ~(Pxa & Qxa))
2. Ax(Pxa -> ~Rxb)
3. Ax(Qxa -> Sxcd)
4. Ax(((Tx & Sxcd)) -> ~((Tx & Ux)))
5. Ax(((Tx & Vx)) -> ((Tx & Ux)))
6. (~((((Te & Ue)) & Secd)) -> ((Te & Ue))) | (((Te & Ve)) or ~Reb) | ∀x (Outside(x, solarSystem) ⊕ In(x, solarSystem))
∀x (Outside(x, solarSystem) → ¬SunAs(x, star))
∀x (In(x, solarSystem) → BoundBy(x, sun, gravitationally))
∀x (Planet(x) ∧ BoundBy(x, sun, gravitationally) → ¬(Planet(x) ∧ Rogue(x)))
∀x (Planet(x) ∧ Orphan(x) → Planet(x) ∧ Rogue(x))
¬(Planet(pSOJ318.5-22) ∧ Rogue(pSOJ318... | (Planet(pSOJ318.5-22) ∧ Orphan(pSOJ318.5-22)) ∨ ¬SunAs(pSOJ318.5-22, star) | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22 is n... | <constants>
a = solarSystem
b = star
c = sun
d = gravitationally
e = pSOJ318_5_22
</constants>
<predicates>
Pxy: x outside y
Qxy: x is in y
Rxy: x sun as y
Sxyz: x bound by y z
Tx: x is a planet
Ux: x is a rogue
Vx: x is an orphan
</predicates>
<premises>
1. Ax((Pxa or Qxa) & ~(Pxa & Qxa))
2. Ax(Pxa -> ~Rxb)
3. Ax(Qxa ... |
1,007 | 377 | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22 is n... | If PSO J318.5−22 is an orphan planet or it does not have the Sun as the star, or both, then PSO J318.5−22 neither is an orphan planet nor does it have the Sun as the star. | Premises:
Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318... | False | train | tasksource/folio | a = solarSystem
b = star
c = sun
d = gravitationally
e = pSOJ318_5_22 | Pxy: x outside y
Qxy: x is in y
Rxy: x sun as y
Sxyz: x bound by y z
Tx: x is a planet
Ux: x is a rogue
Vx: x is an orphan | 1. Ax((Pxa or Qxa) & ~(Pxa & Qxa))
2. Ax(Pxa -> ~Rxb)
3. Ax(Qxa -> Sxcd)
4. Ax(((Tx & Sxcd)) -> ~((Tx & Ux)))
5. Ax(((Tx & Vx)) -> ((Tx & Ux)))
6. (~((((Te & Ue)) & Secd)) -> ((Te & Ue))) | (((((Te & Ve)) or ~Reb)) -> ((~((Te & Ve)) & ~Reb))) | ∀x (Outside(x, solarSystem) ⊕ In(x, solarSystem))
∀x (Outside(x, solarSystem) → ¬SunAs(x, star))
∀x (In(x, solarSystem) → BoundBy(x, sun, gravitationally))
∀x (Planet(x) ∧ BoundBy(x, sun, gravitationally) → ¬(Planet(x) ∧ Rogue(x)))
∀x (Planet(x) ∧ Orphan(x) → Planet(x) ∧ Rogue(x))
¬(Planet(pSOJ318.5-22) ∧ Rogue(pSOJ318... | (Planet(pSOJ318.5-22) ∧ Orphan(pSOJ318.5-22)) ∨ ¬SunAs(pSOJ318.5-22, star) → (¬(Planet(pSOJ318.5-22) ∧ Orphan(pSOJ318.5-22)) ∧ ¬SunAs(pSOJ318.5-22, star)) | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22 is n... | <constants>
a = solarSystem
b = star
c = sun
d = gravitationally
e = pSOJ318_5_22
</constants>
<predicates>
Pxy: x outside y
Qxy: x is in y
Rxy: x sun as y
Sxyz: x bound by y z
Tx: x is a planet
Ux: x is a rogue
Vx: x is an orphan
</predicates>
<premises>
1. Ax((Pxa or Qxa) & ~(Pxa & Qxa))
2. Ax(Pxa -> ~Rxb)
3. Ax(Qxa ... |
518 | 180 | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | The project Sam is doing is written in C++. | Premises:
Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it.
Hypothesis:
The project Sam is doing is written in C++.
... | True | train | tasksource/folio | a = sam
b = cplusplus
c = python
d = mac
e = perfect | Px: x is a project
Qxy: x do y
Rxy: x written in y
Sxy: x use y
Tx: x is a song
Uxy: x play y
Vxy: x titled y | 1. Ex(Px & Qax)
2. Ax(Px -> (((Rxb or Rxc) & ~(Rxb & Rxc))))
3. Ax(((((Px & Rxc)) & Qax)) -> ~Sad)
4. Sad
5. Ex(((Sad & Tx)) -> Uax)
6. Ax(((Tx & Uax)) -> Vxe) | Ax(((Px & Qax)) & Rxb) | ∃x (Project(x) ∧ Do(sam, x))
∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python)))
∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac))
Use(sam, mac)
∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x))
∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect)) | ∀x (Project(x) ∧ Do(sam, x) ∧ WrittenIn(x, cplusplus)) | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | <constants>
a = sam
b = cplusplus
c = python
d = mac
e = perfect
</constants>
<predicates>
Px: x is a project
Qxy: x do y
Rxy: x written in y
Sxy: x use y
Tx: x is a song
Uxy: x play y
Vxy: x titled y
</predicates>
<premises>
1. Ex(Px & Qax)
2. Ax(Px -> (((Rxb or Rxc) & ~(Rxb & Rxc))))
3. Ax(((((Px & Rxc)) & Qax)) -> ~... |
519 | 180 | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | The song Sam is playing is titled "Perfect". | Premises:
Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it.
Hypothesis:
The song Sam is playing is titled "Perfect".... | Uncertain | train | tasksource/folio | a = sam
b = cplusplus
c = python
d = mac
e = perfect | Px: x is a project
Qxy: x do y
Rxy: x written in y
Sxy: x use y
Tx: x is a song
Uxy: x play y
Vxy: x titled y | 1. Ex(Px & Qax)
2. Ax(Px -> (((Rxb or Rxc) & ~(Rxb & Rxc))))
3. Ax(((((Px & Rxc)) & Qax)) -> ~Sad)
4. Sad
5. Ex(((Sad & Tx)) -> Uax)
6. Ax(((Tx & Uax)) -> Vxe) | Ax(((Tx & Uax)) & Vxe) | ∃x (Project(x) ∧ Do(sam, x))
∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python)))
∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac))
Use(sam, mac)
∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x))
∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect)) | ∀x (Song(x) ∧ Play(sam, x) ∧ Titled(x, perfect)) | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | <constants>
a = sam
b = cplusplus
c = python
d = mac
e = perfect
</constants>
<predicates>
Px: x is a project
Qxy: x do y
Rxy: x written in y
Sxy: x use y
Tx: x is a song
Uxy: x play y
Vxy: x titled y
</predicates>
<premises>
1. Ex(Px & Qax)
2. Ax(Px -> (((Rxb or Rxc) & ~(Rxb & Rxc))))
3. Ax(((((Px & Rxc)) & Qax)) -> ~... |
520 | 180 | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | If a song is titled "Perfect", Sam will play it. | Premises:
Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it.
Hypothesis:
If a song is titled "Perfect", Sam will play... | Uncertain | train | tasksource/folio | a = sam
b = cplusplus
c = python
d = mac
e = perfect | Px: x is a project
Qxy: x do y
Rxy: x written in y
Sxy: x use y
Tx: x is a song
Uxy: x play y
Vxy: x titled y | 1. Ex(Px & Qax)
2. Ax(Px -> (((Rxb or Rxc) & ~(Rxb & Rxc))))
3. Ax(((((Px & Rxc)) & Qax)) -> ~Sad)
4. Sad
5. Ex(((Sad & Tx)) -> Uax)
6. Ax(((Tx & Uax)) -> Vxe) | Ax(Vxe -> Uax) | ∃x (Project(x) ∧ Do(sam, x))
∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python)))
∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac))
Use(sam, mac)
∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x))
∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect)) | ∀x (Titled(x, perfect) → Play(sam, x)) | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | <constants>
a = sam
b = cplusplus
c = python
d = mac
e = perfect
</constants>
<predicates>
Px: x is a project
Qxy: x do y
Rxy: x written in y
Sxy: x use y
Tx: x is a song
Uxy: x play y
Vxy: x titled y
</predicates>
<premises>
1. Ex(Px & Qax)
2. Ax(Px -> (((Rxb or Rxc) & ~(Rxb & Rxc))))
3. Ax(((((Px & Rxc)) & Qax)) -> ~... |
698 | 254 | All rabbits have fur
Some pets are rabbits. | Some pets do not have fur. | Premises:
All rabbits have fur
Some pets are rabbits.
Hypothesis:
Some pets do not have fur.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False, Uncertain. | Uncertain | train | tasksource/folio | a = fur | Px: x is a rabbit
Qxy: x has y
Rx: x is a pet | 1. Ax(Px -> Qxa)
2. Ex(Rx & Px) | Ex(Ey(((((Rx & Ry)) & ~Qxa)) & ~Qya)) | ∀x (Rabbit(x) → Have(x, fur))
∃x (Pet(x) ∧ Rabbit(x)) | ∃x ∃y (Pet(x) ∧ Pet(y) ∧ ¬Have(x, fur) ∧ ¬Have(y, fur)) | All rabbits have fur
Some pets are rabbits. | <constants>
a = fur
</constants>
<predicates>
Px: x is a rabbit
Qxy: x has y
Rx: x is a pet
</predicates>
<premises>
1. Ax(Px -> Qxa)
2. Ex(Rx & Px)
</premises>
|
1,385 | 477 | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | TikTok is a computer program. | Premises:
All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to up... | True | train | tasksource/folio | a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok | Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy: x has y
Xx: x is an addictive
Yxy: x ideal for y | 1. Ax(((((Px & Qx)) & Rxa)) -> Sx)
2. Ax(((((Px & Qx)) & Txbc)) -> Rxa)
3. Ax(((Px & Qx)) -> ((Rxa or Rxd)))
4. Ax(((((Px & Qx)) & Rxd)) -> Uxbe)
5. Ax(((((Px & Qx)) & Sx)) -> Vx)
6. Ax(((((Px & Qx)) & Wxf)) -> Xx)
7. Ax(((((Px & Qx)) & Xx)) -> ~Yxg)
8. Ph
9. Qh
10. ~Yhg | Vh | ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, chatFeature) → Software(x))
∀x (SocialMedia(x) ∧ Application(x) ∧ AllowToSendTo(x, user, message) → Contain(x, chatFeature))
∀x (SocialMedia(x) ∧ Application(x) → Contain(x, chatFeature) ∨ Contain(x, videoFeature))
∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, videoFe... | ComputerProgram(tikTok) | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | <constants>
a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok
</constants>
<predicates>
Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy:... |
1,386 | 477 | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | TikTok is either ideal for preteens or a computer program. | Premises:
All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to up... | True | train | tasksource/folio | a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok | Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy: x has y
Xx: x is an addictive
Yxy: x ideal for y | 1. Ax(((((Px & Qx)) & Rxa)) -> Sx)
2. Ax(((((Px & Qx)) & Txbc)) -> Rxa)
3. Ax(((Px & Qx)) -> ((Rxa or Rxd)))
4. Ax(((((Px & Qx)) & Rxd)) -> Uxbe)
5. Ax(((((Px & Qx)) & Sx)) -> Vx)
6. Ax(((((Px & Qx)) & Wxf)) -> Xx)
7. Ax(((((Px & Qx)) & Xx)) -> ~Yxg)
8. Ph
9. Qh
10. ~Yhg | ((Yhg or Vh) & ~(Yhg & Vh)) | ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, chatFeature) → Software(x))
∀x (SocialMedia(x) ∧ Application(x) ∧ AllowToSendTo(x, user, message) → Contain(x, chatFeature))
∀x (SocialMedia(x) ∧ Application(x) → Contain(x, chatFeature) ∨ Contain(x, videoFeature))
∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, videoFe... | IdealFor(tikTok, preteen) ⊕ ComputerProgram(tikTok) | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | <constants>
a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok
</constants>
<predicates>
Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy:... |
1,387 | 477 | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | TikTok is does not have chat features or it is not a computer program. | Premises:
All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to up... | False | train | tasksource/folio | a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok | Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy: x has y
Xx: x is an addictive
Yxy: x ideal for y | 1. Ax(((((Px & Qx)) & Rxa)) -> Sx)
2. Ax(((((Px & Qx)) & Txbc)) -> Rxa)
3. Ax(((Px & Qx)) -> ((Rxa or Rxd)))
4. Ax(((((Px & Qx)) & Rxd)) -> Uxbe)
5. Ax(((((Px & Qx)) & Sx)) -> Vx)
6. Ax(((((Px & Qx)) & Wxf)) -> Xx)
7. Ax(((((Px & Qx)) & Xx)) -> ~Yxg)
8. Ph
9. Qh
10. ~Yhg | (~Rha or ~Vh) | ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, chatFeature) → Software(x))
∀x (SocialMedia(x) ∧ Application(x) ∧ AllowToSendTo(x, user, message) → Contain(x, chatFeature))
∀x (SocialMedia(x) ∧ Application(x) → Contain(x, chatFeature) ∨ Contain(x, videoFeature))
∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, videoFe... | ¬Contain(tikTok, chatFeature) ∨ ¬ComputerProgram(tikTok)) | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | <constants>
a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok
</constants>
<predicates>
Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy:... |
1,388 | 477 | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | TikTok either has chat features or is a computer program. | Premises:
All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to up... | False | train | tasksource/folio | a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok | Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy: x has y
Xx: x is an addictive
Yxy: x ideal for y | 1. Ax(((((Px & Qx)) & Rxa)) -> Sx)
2. Ax(((((Px & Qx)) & Txbc)) -> Rxa)
3. Ax(((Px & Qx)) -> ((Rxa or Rxd)))
4. Ax(((((Px & Qx)) & Rxd)) -> Uxbe)
5. Ax(((((Px & Qx)) & Sx)) -> Vx)
6. Ax(((((Px & Qx)) & Wxf)) -> Xx)
7. Ax(((((Px & Qx)) & Xx)) -> ~Yxg)
8. Ph
9. Qh
10. ~Yhg | ((Rha or Vh) & ~(Rha & Vh)) | ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, chatFeature) → Software(x))
∀x (SocialMedia(x) ∧ Application(x) ∧ AllowToSendTo(x, user, message) → Contain(x, chatFeature))
∀x (SocialMedia(x) ∧ Application(x) → Contain(x, chatFeature) ∨ Contain(x, videoFeature))
∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, videoFe... | Contain(tikTok, chatFeature) ⊕ ComputerProgram(tikTok)) | All social media applications containing chat features are software.
All social media applications that allow users to send messages to each other have chat features.
All social media applications have chat features or video features.
All social media applications that have video features allow users to upload video... | <constants>
a = chatFeature
b = user
c = message
d = videoFeature
e = uploadVideo
f = highEngagementMetric
g = preteen
h = tikTok
</constants>
<predicates>
Px: x is a social media
Qx: x is an application
Rxy: x contain y
Sx: x is a software
Txyz: x allow to send to y z
Uxyz: x allow y z
Vx: x is a computer program
Wxy:... |
316 | 104 | Ordinary is an unincorporated community.
Located within Elliot County, Ordinary is on Kentucky Route 32.
Ordinary is located northwest of Sandy Hook. | There are no unincorporated communities along Kentucky Route 32. | Premises:
Ordinary is an unincorporated community.
Located within Elliot County, Ordinary is on Kentucky Route 32.
Ordinary is located northwest of Sandy Hook.
Hypothesis:
There are no unincorporated communities along Kentucky Route 32.
Decide whether the hypothesis is entailed by the premises. Answer with exactly on... | False | train | tasksource/folio | a = ordinary
b = elliotCounty
c = kentuckyRoute32
d = sandyHook | Px: x is an unincorporated community
Qxy: x located in y
Rxy: x on y
Sxy: x located northwest of y | 1. Pa
2. Qab
3. Rac
4. Sad | Ax(Rxc -> ~Px) | UnincorporatedCommunity(ordinary)
LocatedIn(ordinary, elliotCounty) ∧ On(ordinary, kentuckyRoute32)
LocatedNorthwestOf(ordinary, sandyHook) | ∀x (On(x, kentuckyRoute32) → ¬UnincorporatedCommunity(x)) | Ordinary is an unincorporated community.
Located within Elliot County, Ordinary is on Kentucky Route 32.
Ordinary is located northwest of Sandy Hook. | <constants>
a = ordinary
b = elliotCounty
c = kentuckyRoute32
d = sandyHook
</constants>
<predicates>
Px: x is an unincorporated community
Qxy: x located in y
Rxy: x on y
Sxy: x located northwest of y
</predicates>
<premises>
1. Pa
2. Qab
3. Rac
4. Sad
</premises>
|
317 | 104 | Ordinary is an unincorporated community.
Located within Elliot County, Ordinary is on Kentucky Route 32.
Ordinary is located northwest of Sandy Hook. | There is an unincorporated community located in Elliot County. | Premises:
Ordinary is an unincorporated community.
Located within Elliot County, Ordinary is on Kentucky Route 32.
Ordinary is located northwest of Sandy Hook.
Hypothesis:
There is an unincorporated community located in Elliot County.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one ... | True | train | tasksource/folio | a = ordinary
b = elliotCounty
c = kentuckyRoute32
d = sandyHook | Px: x is an unincorporated community
Qxy: x located in y
Rxy: x on y
Sxy: x located northwest of y | 1. Pa
2. Qab
3. Rac
4. Sad | Ex(Px & Qxb) | UnincorporatedCommunity(ordinary)
LocatedIn(ordinary, elliotCounty) ∧ On(ordinary, kentuckyRoute32)
LocatedNorthwestOf(ordinary, sandyHook) | ∃x (UnincorporatedCommunity(x) ∧ LocatedIn(x, elliotCounty)) | Ordinary is an unincorporated community.
Located within Elliot County, Ordinary is on Kentucky Route 32.
Ordinary is located northwest of Sandy Hook. | <constants>
a = ordinary
b = elliotCounty
c = kentuckyRoute32
d = sandyHook
</constants>
<predicates>
Px: x is an unincorporated community
Qxy: x located in y
Rxy: x on y
Sxy: x located northwest of y
</predicates>
<premises>
1. Pa
2. Qab
3. Rac
4. Sad
</premises>
|
921 | 348 | All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harvard student... | Susan is a college student. | Premises:
All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harva... | Uncertain | train | tasksource/folio | a = event
b = independence
c = susan | Pxy: x at y
Qx: x is a young adult
Rxy: x like y
Sx: x is a college student
Tx: x is a yale student
Ux: x is a harvard student
Vx: x is a diligent | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sx)) -> Qx)
3. Ax(((Pxa & Tx)) -> Sx)
4. Ax(Pxa -> (((Tx or Ux) & ~(Tx & Ux))))
5. Ax(((Pxa & Ux)) -> Vx)
6. Pca
7. (Uc -> Qc)
8. (Tc -> ~Rcb) | Sc | ∀x (At(x, event) ∧ YoungAdult(x) → Like(x, independence))
∀x (At(x, event) ∧ CollegeStudent(x) → YoungAdult(x))
∀x (At(x, event) ∧ YaleStudent(x) → CollegeStudent(x))
∀x (At(x, event) → (YaleStudent(x) ⊕ HarvardStudent(x)))
∀x (At(x, event) ∧ HarvardStudent(x) → Diligent(x))
At(susan, event) ∧ (HarvardStudent(susan) → ... | CollegeStudent(susan) | All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harvard student... | <constants>
a = event
b = independence
c = susan
</constants>
<predicates>
Pxy: x at y
Qx: x is a young adult
Rxy: x like y
Sx: x is a college student
Tx: x is a yale student
Ux: x is a harvard student
Vx: x is a diligent
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sx)) -> Qx)
3. Ax(((Pxa & Tx)) -... |
922 | 348 | All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harvard student... | Susan likes independence and is diligent. | Premises:
All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harva... | True | train | tasksource/folio | a = event
b = independence
c = susan | Pxy: x at y
Qx: x is a young adult
Rxy: x like y
Sx: x is a college student
Tx: x is a yale student
Ux: x is a harvard student
Vx: x is a diligent | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sx)) -> Qx)
3. Ax(((Pxa & Tx)) -> Sx)
4. Ax(Pxa -> (((Tx or Ux) & ~(Tx & Ux))))
5. Ax(((Pxa & Ux)) -> Vx)
6. Pca
7. (Uc -> Qc)
8. (Tc -> ~Rcb) | (Rcb & Vc) | ∀x (At(x, event) ∧ YoungAdult(x) → Like(x, independence))
∀x (At(x, event) ∧ CollegeStudent(x) → YoungAdult(x))
∀x (At(x, event) ∧ YaleStudent(x) → CollegeStudent(x))
∀x (At(x, event) → (YaleStudent(x) ⊕ HarvardStudent(x)))
∀x (At(x, event) ∧ HarvardStudent(x) → Diligent(x))
At(susan, event) ∧ (HarvardStudent(susan) → ... | Like(susan, independence) ∧ Diligent(susan) | All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harvard student... | <constants>
a = event
b = independence
c = susan
</constants>
<predicates>
Pxy: x at y
Qx: x is a young adult
Rxy: x like y
Sx: x is a college student
Tx: x is a yale student
Ux: x is a harvard student
Vx: x is a diligent
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sx)) -> Qx)
3. Ax(((Pxa & Tx)) -... |
923 | 348 | All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harvard student... | Susan is not both diligent and likes independence. | Premises:
All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harva... | False | train | tasksource/folio | a = event
b = independence
c = susan | Pxy: x at y
Qx: x is a young adult
Rxy: x like y
Sx: x is a college student
Tx: x is a yale student
Ux: x is a harvard student
Vx: x is a diligent | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sx)) -> Qx)
3. Ax(((Pxa & Tx)) -> Sx)
4. Ax(Pxa -> (((Tx or Ux) & ~(Tx & Ux))))
5. Ax(((Pxa & Ux)) -> Vx)
6. Pca
7. (Uc -> Qc)
8. (Tc -> ~Rcb) | ~((Rcb & Vc)) | ∀x (At(x, event) ∧ YoungAdult(x) → Like(x, independence))
∀x (At(x, event) ∧ CollegeStudent(x) → YoungAdult(x))
∀x (At(x, event) ∧ YaleStudent(x) → CollegeStudent(x))
∀x (At(x, event) → (YaleStudent(x) ⊕ HarvardStudent(x)))
∀x (At(x, event) ∧ HarvardStudent(x) → Diligent(x))
At(susan, event) ∧ (HarvardStudent(susan) → ... | ¬(Like(susan, independence) ∧ Diligent(susan)) | All young adults at the event like independence.
All college students at the event are young adults.
All Yale students at the event are college students.
Everyone at the event is a Yale student or a Harvard student.
All Harvard students at the event are diligent.
Susan is at the event, and if Susan is a Harvard student... | <constants>
a = event
b = independence
c = susan
</constants>
<predicates>
Pxy: x at y
Qx: x is a young adult
Rxy: x like y
Sx: x is a college student
Tx: x is a yale student
Ux: x is a harvard student
Vx: x is a diligent
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sx)) -> Qx)
3. Ax(((Pxa & Tx)) -... |
430 | 147 | Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out. | Inside Out was a punk band. | Premises:
Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out.
Hypothesis:
Inside Out was a punk band.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False, Uncertain. | Uncertain | train | tasksource/folio | a = vicDicara
b = guitar
c = bass
d = punk
e = insideOut | Pxy: x play y
Qxy: x music y
Rxy: x band y | 1. Pab
2. Pac
3. Ax(Qax -> ~(x = d))
4. Rae | Qed | Play(vicDicara, guitar) ∧ Play(vicDicara, bass)
∀x (Music(vicDicara, x) → ¬(x=punk)))
Band(vicDicara, insideOut) | Music(insideOut, punk) | Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out. | <constants>
a = vicDicara
b = guitar
c = bass
d = punk
e = insideOut
</constants>
<predicates>
Pxy: x play y
Qxy: x music y
Rxy: x band y
</predicates>
<premises>
1. Pab
2. Pac
3. Ax(Qax -> ~(x = d))
4. Rae
</premises>
|
431 | 147 | Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out. | A musician from Inside Out plays bass. | Premises:
Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out.
Hypothesis:
A musician from Inside Out plays bass.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False, Uncertain. | True | train | tasksource/folio | a = vicDicara
b = guitar
c = bass
d = punk
e = insideOut | Pxy: x play y
Qxy: x music y
Rxy: x band y | 1. Pab
2. Pac
3. Ax(Qax -> ~(x = d))
4. Rae | Ex(Rxe & Pxc) | Play(vicDicara, guitar) ∧ Play(vicDicara, bass)
∀x (Music(vicDicara, x) → ¬(x=punk)))
Band(vicDicara, insideOut) | ∃x (Band(x, insideOut) ∧ Play(x, bass)) | Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out. | <constants>
a = vicDicara
b = guitar
c = bass
d = punk
e = insideOut
</constants>
<predicates>
Pxy: x play y
Qxy: x music y
Rxy: x band y
</predicates>
<premises>
1. Pab
2. Pac
3. Ax(Qax -> ~(x = d))
4. Rae
</premises>
|
913 | 346 | All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal winner.
If... | Amy is a professional athlete. | Premises:
All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal ... | Uncertain | train | tasksource/folio | a = mostOfTheirTime
b = sports
c = amy | Px: x is a professional athlete
Qxyz: x spend on y z
Rx: x is an olympic gold medal winner
Sx: x is a full time scientist
Tx: x is a nobel physics laureate | 1. Ax(Px -> Qxab)
2. Ax(Rx -> Px)
3. Ax(Sx -> ~Qxab)
4. Ax(Tx -> Sx)
5. (Qcab or Rc)
6. (~Tc -> ~Rc) | Pc | ∀x (ProfessionalAthlete(x) → SpendOn(x, mostOfTheirTime, sports))
∀x (OlympicGoldMedalWinner(x) → ProfessionalAthlete(x))
∀x (FullTimeScientist(x) → ¬SpendOn(x, mostOfTheirTime, sports))
∀x (NobelPhysicsLaureate(x) → FullTimeScientist(x))
SpendOn(amy, mostOfTheirTime, sports) ∨ OlympicGoldMedalWinner(amy)
¬NobelPhysics... | ProfessionalAthlete(amy) | All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal winner.
If... | <constants>
a = mostOfTheirTime
b = sports
c = amy
</constants>
<predicates>
Px: x is a professional athlete
Qxyz: x spend on y z
Rx: x is an olympic gold medal winner
Sx: x is a full time scientist
Tx: x is a nobel physics laureate
</predicates>
<premises>
1. Ax(Px -> Qxab)
2. Ax(Rx -> Px)
3. Ax(Sx -> ~Qxab)
4. Ax(Tx ... |
914 | 346 | All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal winner.
If... | Amy is neither a full-time scientist nor an Olympic gold medal winner. | Premises:
All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal ... | True | train | tasksource/folio | a = mostOfTheirTime
b = sports
c = amy | Px: x is a professional athlete
Qxyz: x spend on y z
Rx: x is an olympic gold medal winner
Sx: x is a full time scientist
Tx: x is a nobel physics laureate | 1. Ax(Px -> Qxab)
2. Ax(Rx -> Px)
3. Ax(Sx -> ~Qxab)
4. Ax(Tx -> Sx)
5. (Qcab or Rc)
6. (~Tc -> ~Rc) | ~((Sc or Rc)) | ∀x (ProfessionalAthlete(x) → SpendOn(x, mostOfTheirTime, sports))
∀x (OlympicGoldMedalWinner(x) → ProfessionalAthlete(x))
∀x (FullTimeScientist(x) → ¬SpendOn(x, mostOfTheirTime, sports))
∀x (NobelPhysicsLaureate(x) → FullTimeScientist(x))
SpendOn(amy, mostOfTheirTime, sports) ∨ OlympicGoldMedalWinner(amy)
¬NobelPhysics... | ¬(FullTimeScientist(amy) ∨ OlympicGoldMedalWinner(amy)) | All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal winner.
If... | <constants>
a = mostOfTheirTime
b = sports
c = amy
</constants>
<predicates>
Px: x is a professional athlete
Qxyz: x spend on y z
Rx: x is an olympic gold medal winner
Sx: x is a full time scientist
Tx: x is a nobel physics laureate
</predicates>
<premises>
1. Ax(Px -> Qxab)
2. Ax(Rx -> Px)
3. Ax(Sx -> ~Qxab)
4. Ax(Tx ... |
915 | 346 | All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal winner.
If... | If Amy is not an Olympic gold medal winner, then Amy is a Nobel physics laureate. | Premises:
All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal ... | False | train | tasksource/folio | a = mostOfTheirTime
b = sports
c = amy | Px: x is a professional athlete
Qxyz: x spend on y z
Rx: x is an olympic gold medal winner
Sx: x is a full time scientist
Tx: x is a nobel physics laureate | 1. Ax(Px -> Qxab)
2. Ax(Rx -> Px)
3. Ax(Sx -> ~Qxab)
4. Ax(Tx -> Sx)
5. (Qcab or Rc)
6. (~Tc -> ~Rc) | (~Rc -> Tc) | ∀x (ProfessionalAthlete(x) → SpendOn(x, mostOfTheirTime, sports))
∀x (OlympicGoldMedalWinner(x) → ProfessionalAthlete(x))
∀x (FullTimeScientist(x) → ¬SpendOn(x, mostOfTheirTime, sports))
∀x (NobelPhysicsLaureate(x) → FullTimeScientist(x))
SpendOn(amy, mostOfTheirTime, sports) ∨ OlympicGoldMedalWinner(amy)
¬NobelPhysics... | ¬OlympicGoldMedalWinner(amy) → NobelPhysicsLaureate(amy) | All professional athletes spend most of their time on sports.
All Olympic gold medal winners are professional athletes.
No full-time scientists spend the majority of their time on sports.
All Nobel physics laureates are full-time scientists.
Amy spends the most time on sports, or Amy is an Olympic gold medal winner.
If... | <constants>
a = mostOfTheirTime
b = sports
c = amy
</constants>
<predicates>
Px: x is a professional athlete
Qxyz: x spend on y z
Rx: x is an olympic gold medal winner
Sx: x is a full time scientist
Tx: x is a nobel physics laureate
</predicates>
<premises>
1. Ax(Px -> Qxab)
2. Ax(Rx -> Px)
3. Ax(Sx -> ~Qxab)
4. Ax(Tx ... |
1,142 | 409 | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | The cherries are apples. | Premises:
All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries ar... | False | train | tasksource/folio | a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry | Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) -> Tx)
4. Ax(((Pxa & Ux)) -> ~Vxd)
5. Pea
6. (~((Ue & Sec)) -> Qe) | Sec | ∀x ((GrownIn(x, benSYard) ∧ RedFruit(x)) → Contain(x, vitaminC))
∀x (GrownIn(x, benSYard) ∧ Is(x, apple) → RedFruit(x))
∀x ((GrownIn(x, benSYard) ∧ Contain(x, vitaminC)) → healthy(x))
∀x ((GrownIn(x, benSYard) ∧ Healthy(x)) → ¬On(x, warningList))
GrownIn(cherry, benSYard)
¬(Healthy(cherry) ∧ Is(cherry, apple)) → RedFru... | Is(cherry, apple) | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | <constants>
a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry
</constants>
<predicates>
Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) ->... |
1,143 | 409 | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | The cherries either contain some amount of vitamin C or are on a warning list. | Premises:
All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries ar... | True | train | tasksource/folio | a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry | Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) -> Tx)
4. Ax(((Pxa & Ux)) -> ~Vxd)
5. Pea
6. (~((Ue & Sec)) -> Qe) | ((Reb or Ved) & ~(Reb & Ved)) | ∀x ((GrownIn(x, benSYard) ∧ RedFruit(x)) → Contain(x, vitaminC))
∀x (GrownIn(x, benSYard) ∧ Is(x, apple) → RedFruit(x))
∀x ((GrownIn(x, benSYard) ∧ Contain(x, vitaminC)) → healthy(x))
∀x ((GrownIn(x, benSYard) ∧ Healthy(x)) → ¬On(x, warningList))
GrownIn(cherry, benSYard)
¬(Healthy(cherry) ∧ Is(cherry, apple)) → RedFru... | Contain(cherry, vitaminC) ⊕ On(cherry, warningList) | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | <constants>
a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry
</constants>
<predicates>
Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) ->... |
1,144 | 409 | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | The cherries are either on a warning list or are red. | Premises:
All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries ar... | True | train | tasksource/folio | a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry | Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) -> Tx)
4. Ax(((Pxa & Ux)) -> ~Vxd)
5. Pea
6. (~((Ue & Sec)) -> Qe) | ((Ved or Qe) & ~(Ved & Qe)) | ∀x ((GrownIn(x, benSYard) ∧ RedFruit(x)) → Contain(x, vitaminC))
∀x (GrownIn(x, benSYard) ∧ Is(x, apple) → RedFruit(x))
∀x ((GrownIn(x, benSYard) ∧ Contain(x, vitaminC)) → healthy(x))
∀x ((GrownIn(x, benSYard) ∧ Healthy(x)) → ¬On(x, warningList))
GrownIn(cherry, benSYard)
¬(Healthy(cherry) ∧ Is(cherry, apple)) → RedFru... | On(cherry, warningList) ⊕ RedFruit(cherry) | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | <constants>
a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry
</constants>
<predicates>
Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) ->... |
1,146 | 409 | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | If the cherries are either on a warning list or are red, then they are not healthy and do not contain any amount of vitamin C. | Premises:
All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries ar... | False | train | tasksource/folio | a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry | Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y | 1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) -> Tx)
4. Ax(((Pxa & Ux)) -> ~Vxd)
5. Pea
6. (~((Ue & Sec)) -> Qe) | ((Ved or Qe) & ~(Ved & Qe)) | ∀x ((GrownIn(x, benSYard) ∧ RedFruit(x)) → Contain(x, vitaminC))
∀x (GrownIn(x, benSYard) ∧ Is(x, apple) → RedFruit(x))
∀x ((GrownIn(x, benSYard) ∧ Contain(x, vitaminC)) → healthy(x))
∀x ((GrownIn(x, benSYard) ∧ Healthy(x)) → ¬On(x, warningList))
GrownIn(cherry, benSYard)
¬(Healthy(cherry) ∧ Is(cherry, apple)) → RedFru... | On(cherry, warningList) ⊕ RedFruit(cherry)) → ¬(BeneficialTo(cherry, people) ∧ Contain(cherry, vitaminC) | All red fruits that grow in Ben's yard contain some Vitamin C.
All apples that grow in Ben's yard are red fruits.
All fruits that grow in Ben's yard and contain some Vitamin C are healthy.
No fruits that grow in Ben's yard and are healthy are on a warning list.
The cherries grow in Ben's yard.
If cherries are not appl... | <constants>
a = benSYard
b = vitaminC
c = apple
d = warningList
e = cherry
</constants>
<predicates>
Pxy: x grown in y
Qx: x is a red fruit
Rxy: x contain y
Sxy: x is y
Tx: x is a healthy
Ux: x is a healthy
Vxy: x on y
</predicates>
<premises>
1. Ax(((Pxa & Qx)) -> Rxb)
2. Ax(((Pxa & Sxc)) -> Qx)
3. Ax(((Pxa & Rxb)) ->... |
1,202 | 425 | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | James has a high income. | Premises:
Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works ... | Uncertain | train | tasksource/folio | a = meta
b = bus
c = drive
d = james | Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student | 1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd or Pda) | Qd | ∀x (WorkAt(x, meta) → HighIncome(x))
∀x (HighIncome(x) → ¬MeansToDestination(x, bus))
∀x (MeansToDestination(x, bus) ⊕ MeansToDestination(x, drive))
∀x (HaveCar(x) → MeansToDestination(x, drive))
∀x (Student(x) → ¬ MeansToDestination(x, drive))
HaveCar(james) ∨ WorkAt(james, meta) | HighIncome(james) | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | <constants>
a = meta
b = bus
c = drive
d = james
</constants>
<predicates>
Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd... |
1,203 | 425 | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | James does not have a high income. | Premises:
Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works ... | Uncertain | train | tasksource/folio | a = meta
b = bus
c = drive
d = james | Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student | 1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd or Pda) | ~Qd | ∀x (WorkAt(x, meta) → HighIncome(x))
∀x (HighIncome(x) → ¬MeansToDestination(x, bus))
∀x (MeansToDestination(x, bus) ⊕ MeansToDestination(x, drive))
∀x (HaveCar(x) → MeansToDestination(x, drive))
∀x (Student(x) → ¬ MeansToDestination(x, drive))
HaveCar(james) ∨ WorkAt(james, meta) | ¬HighIncome(james) | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | <constants>
a = meta
b = bus
c = drive
d = james
</constants>
<predicates>
Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd... |
1,204 | 425 | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | James is a student. | Premises:
Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works ... | False | train | tasksource/folio | a = meta
b = bus
c = drive
d = james | Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student | 1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd or Pda) | Td | ∀x (WorkAt(x, meta) → HighIncome(x))
∀x (HighIncome(x) → ¬MeansToDestination(x, bus))
∀x (MeansToDestination(x, bus) ⊕ MeansToDestination(x, drive))
∀x (HaveCar(x) → MeansToDestination(x, drive))
∀x (Student(x) → ¬ MeansToDestination(x, drive))
HaveCar(james) ∨ WorkAt(james, meta) | Student(james) | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | <constants>
a = meta
b = bus
c = drive
d = james
</constants>
<predicates>
Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd... |
1,205 | 425 | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | James drives to his destination or he is a student. | Premises:
Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works ... | True | train | tasksource/folio | a = meta
b = bus
c = drive
d = james | Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student | 1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd or Pda) | Ex(Rxc or Td) | ∀x (WorkAt(x, meta) → HighIncome(x))
∀x (HighIncome(x) → ¬MeansToDestination(x, bus))
∀x (MeansToDestination(x, bus) ⊕ MeansToDestination(x, drive))
∀x (HaveCar(x) → MeansToDestination(x, drive))
∀x (Student(x) → ¬ MeansToDestination(x, drive))
HaveCar(james) ∨ WorkAt(james, meta) | MeansToDestination(x, drive) ∨ Student(james) | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | <constants>
a = meta
b = bus
c = drive
d = james
</constants>
<predicates>
Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd... |
1,206 | 425 | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | James either drives to their destination or is a student. | Premises:
Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works ... | True | train | tasksource/folio | a = meta
b = bus
c = drive
d = james | Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student | 1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd or Pda) | Ex((Rxc or Td) & ~(Rxc & Td)) | ∀x (WorkAt(x, meta) → HighIncome(x))
∀x (HighIncome(x) → ¬MeansToDestination(x, bus))
∀x (MeansToDestination(x, bus) ⊕ MeansToDestination(x, drive))
∀x (HaveCar(x) → MeansToDestination(x, drive))
∀x (Student(x) → ¬ MeansToDestination(x, drive))
HaveCar(james) ∨ WorkAt(james, meta) | MeansToDestination(x, drive) ⊕ Student(james) | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | <constants>
a = meta
b = bus
c = drive
d = james
</constants>
<predicates>
Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd... |
1,207 | 425 | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | If James either drives to his destination or is a student, then he has a high income and is a student. | Premises:
Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works ... | False | train | tasksource/folio | a = meta
b = bus
c = drive
d = james | Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student | 1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd or Pda) | Ex((((Rxc or Td) & ~(Rxc & Td))) -> ((Qd & Td))) | ∀x (WorkAt(x, meta) → HighIncome(x))
∀x (HighIncome(x) → ¬MeansToDestination(x, bus))
∀x (MeansToDestination(x, bus) ⊕ MeansToDestination(x, drive))
∀x (HaveCar(x) → MeansToDestination(x, drive))
∀x (Student(x) → ¬ MeansToDestination(x, drive))
HaveCar(james) ∨ WorkAt(james, meta) | (MeansToDestination(x, drive) ⊕ Student(james)) → (HighIncome(james) ∧ Student(james)) | Everyone working at Meta has a high income.
A person with a high income will not take a bus to their destination.
People will either take a bus or drive to their destination.
Everyone who has a car will choose to drive to their destination.
No students drive to their destination.
James has a car or works at Meta. | <constants>
a = meta
b = bus
c = drive
d = james
</constants>
<predicates>
Pxy: x work at y
Qx: x is a high income
Rxy: x means to destination y
Sx: x is a have car
Tx: x is a student
</predicates>
<premises>
1. Ax(Pxa -> Qx)
2. Ax(Qx -> ~Rxb)
3. Ax((Rxb or Rxc) & ~(Rxb & Rxc))
4. Ax(Sx -> Rxc)
5. Ax(Tx -> ~Rxc)
6. (Sd... |
1,197 | 423 | Everyone at the business conference is either an investor or an entrepreneur.
None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy.
All entrepreneurs at the business conference enjoy the opportunity of starting a business.
Everyone at the business conferen... | Ho is not an ardent communist. | Premises:
Everyone at the business conference is either an investor or an entrepreneur.
None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy.
All entrepreneurs at the business conference enjoy the opportunity of starting a business.
Everyone at the busines... | Uncertain | train | tasksource/folio | a = businessConference
b = opportunityOfStartingOwnBusiness
c = plannedEconomy
d = stateOwnershipOfMeansOfProduction
e = ho | Pxy: x at y
Qx: x is an investor
Rx: x is an entrepreneur
Sxy: x enjoy y
Txy: x prefer y
Ux: x is an ardent communist | 1. Ax(Pxa -> (((Qx or Rx) & ~(Qx & Rx))))
2. Ax(((Pxa & Sxb)) -> ~Txc)
3. Ax(((Pxa & Rx)) -> Sxb)
4. Ax(((Pxa & Sxd)) -> Txc)
5. Ax(((Pxa & Ux)) -> Txd)
6. Pea
7. Ted | ~Ue | ∀x (At(x, businessConference) → (Investor(x) ⊕ Entrepreneur(x)))
∀x ((At(x, businessConference) ∧ Enjoy(x, opportunityOfStartingOwnBusiness)) → ¬Prefer(x, plannedEconomy))
∀x ((At(x, businessConference) ∧ Entrepreneur(x)) → Enjoy(x, opportunityOfStartingOwnBusiness))
∀x ((At(x, businessConference) ∧ Enjoy(x, stateOwner... | ¬ArdentCommunist(ho) | Everyone at the business conference is either an investor or an entrepreneur.
None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy.
All entrepreneurs at the business conference enjoy the opportunity of starting a business.
Everyone at the business conferen... | <constants>
a = businessConference
b = opportunityOfStartingOwnBusiness
c = plannedEconomy
d = stateOwnershipOfMeansOfProduction
e = ho
</constants>
<predicates>
Pxy: x at y
Qx: x is an investor
Rx: x is an entrepreneur
Sxy: x enjoy y
Txy: x prefer y
Ux: x is an ardent communist
</predicates>
<premises>
1. Ax(Pxa -> ((... |
1,198 | 423 | Everyone at the business conference is either an investor or an entrepreneur.
None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy.
All entrepreneurs at the business conference enjoy the opportunity of starting a business.
Everyone at the business conferen... | Ho is an investor or is not an ardent communist. | Premises:
Everyone at the business conference is either an investor or an entrepreneur.
None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy.
All entrepreneurs at the business conference enjoy the opportunity of starting a business.
Everyone at the busines... | True | train | tasksource/folio | a = businessConference
b = opportunityOfStartingOwnBusiness
c = plannedEconomy
d = stateOwnershipOfMeansOfProduction
e = ho | Pxy: x at y
Qx: x is an investor
Rx: x is an entrepreneur
Sxy: x enjoy y
Txy: x prefer y
Ux: x is an ardent communist | 1. Ax(Pxa -> (((Qx or Rx) & ~(Qx & Rx))))
2. Ax(((Pxa & Sxb)) -> ~Txc)
3. Ax(((Pxa & Rx)) -> Sxb)
4. Ax(((Pxa & Sxd)) -> Txc)
5. Ax(((Pxa & Ux)) -> Txd)
6. Pea
7. Ted | (Qe or ~Ue) | ∀x (At(x, businessConference) → (Investor(x) ⊕ Entrepreneur(x)))
∀x ((At(x, businessConference) ∧ Enjoy(x, opportunityOfStartingOwnBusiness)) → ¬Prefer(x, plannedEconomy))
∀x ((At(x, businessConference) ∧ Entrepreneur(x)) → Enjoy(x, opportunityOfStartingOwnBusiness))
∀x ((At(x, businessConference) ∧ Enjoy(x, stateOwner... | Investor(ho) ∨ (¬ArdentCommunist(ho)) | Everyone at the business conference is either an investor or an entrepreneur.
None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy.
All entrepreneurs at the business conference enjoy the opportunity of starting a business.
Everyone at the business conferen... | <constants>
a = businessConference
b = opportunityOfStartingOwnBusiness
c = plannedEconomy
d = stateOwnershipOfMeansOfProduction
e = ho
</constants>
<predicates>
Pxy: x at y
Qx: x is an investor
Rx: x is an entrepreneur
Sxy: x enjoy y
Txy: x prefer y
Ux: x is an ardent communist
</predicates>
<premises>
1. Ax(Pxa -> ((... |
708 | 264 | No television stars are certified public accountants.
All certified public accountants have good business sense. | All television stars have good business sense. | Premises:
No television stars are certified public accountants.
All certified public accountants have good business sense.
Hypothesis:
All television stars have good business sense.
Decide whether the hypothesis is entailed by the premises. Answer with exactly one of: True, False, Uncertain. | Uncertain | train | tasksource/folio | a = goodBusinessSense | Px: x is a television star
Qx: x is a certified public accoutant
Rxy: x has y | 1. Ax(Px -> ~Qx)
2. Ax(Qx -> Rxa) | Ax(Px -> Rxa) | ∀x (TelevisionStar(x) → ¬CertifiedPublicAccoutant(x))
∀x (CertifiedPublicAccoutant(x) → Have(x, goodBusinessSense)) | ∀x (TelevisionStar(x) → Have(x, goodBusinessSense)) | No television stars are certified public accountants.
All certified public accountants have good business sense. | <constants>
a = goodBusinessSense
</constants>
<predicates>
Px: x is a television star
Qx: x is a certified public accoutant
Rxy: x has y
</predicates>
<premises>
1. Ax(Px -> ~Qx)
2. Ax(Qx -> Rxa)
</premises>
|
1,169 | 416 | Some students in the class who are good at math are also good at chemistry.
All students in the class who are good at chemistry enjoy conducting experiments.
All students in the class that enjoy conducting experiments are good at planning.
None of the students who are good at planning failed the class.
James is a stu... | James is good at planning. | Premises:
Some students in the class who are good at math are also good at chemistry.
All students in the class who are good at chemistry enjoy conducting experiments.
All students in the class that enjoy conducting experiments are good at planning.
None of the students who are good at planning failed the class.
Jame... | Uncertain | train | tasksource/folio | a = math
b = chemistry
c = conductingExperiment
d = planning
e = theClass
f = james | Px: x is a student in the class
Qxy: x good at y
Rxy: x enjoy y
Sxy: x failed y | 1. Ex(Ey(((((((((((Px & Qxa)) & Qxb)) & ~(x = y))) & Py)) & Qya)) & Qyb))
2. Ax(((Px & Qxb)) -> Rxc)
3. Ax(((Px & Rxc)) -> Qxd)
4. Ax(((Px & Qxd)) -> ~Sxe)
5. Pf
6. ~(((Qfb or Sfe) & ~(Qfb & Sfe))) | Qfd | ∃x ∃y (StudentInTheClass(x) ∧ GoodAt(x, math) ∧ GoodAt(x, chemistry) ∧ (¬(x=y)) ∧ StudentInTheClass(y) ∧ GoodAt(y, math) ∧ GoodAt(y, chemistry))
∀x ((StudentInTheClass(x) ∧ GoodAt(x, chemistry)) → Enjoy(x, conductingExperiment))
∀x ((StudentInTheClass(x) ∧ Enjoy(x, conductingExperiment)) → GoodAt(x, planning))
∀x ((Stu... | GoodAt(james, planning) | Some students in the class who are good at math are also good at chemistry.
All students in the class who are good at chemistry enjoy conducting experiments.
All students in the class that enjoy conducting experiments are good at planning.
None of the students who are good at planning failed the class.
James is a stu... | <constants>
a = math
b = chemistry
c = conductingExperiment
d = planning
e = theClass
f = james
</constants>
<predicates>
Px: x is a student in the class
Qxy: x good at y
Rxy: x enjoy y
Sxy: x failed y
</predicates>
<premises>
1. Ex(Ey(((((((((((Px & Qxa)) & Qxb)) & ~(x = y))) & Py)) & Qya)) & Qyb))
2. Ax(((Px & Qxb)) ... |
1,170 | 416 | Some students in the class who are good at math are also good at chemistry.
All students in the class who are good at chemistry enjoy conducting experiments.
All students in the class that enjoy conducting experiments are good at planning.
None of the students who are good at planning failed the class.
James is a stu... | James is good at math and chemistry. | Premises:
Some students in the class who are good at math are also good at chemistry.
All students in the class who are good at chemistry enjoy conducting experiments.
All students in the class that enjoy conducting experiments are good at planning.
None of the students who are good at planning failed the class.
Jame... | False | train | tasksource/folio | a = math
b = chemistry
c = conductingExperiment
d = planning
e = theClass
f = james | Px: x is a student in the class
Qxy: x good at y
Rxy: x enjoy y
Sxy: x failed y | 1. Ex(Ey(((((((((((Px & Qxa)) & Qxb)) & ~(x = y))) & Py)) & Qya)) & Qyb))
2. Ax(((Px & Qxb)) -> Rxc)
3. Ax(((Px & Rxc)) -> Qxd)
4. Ax(((Px & Qxd)) -> ~Sxe)
5. Pf
6. ~(((Qfb or Sfe) & ~(Qfb & Sfe))) | (Qfb & Qfa) | ∃x ∃y (StudentInTheClass(x) ∧ GoodAt(x, math) ∧ GoodAt(x, chemistry) ∧ (¬(x=y)) ∧ StudentInTheClass(y) ∧ GoodAt(y, math) ∧ GoodAt(y, chemistry))
∀x ((StudentInTheClass(x) ∧ GoodAt(x, chemistry)) → Enjoy(x, conductingExperiment))
∀x ((StudentInTheClass(x) ∧ Enjoy(x, conductingExperiment)) → GoodAt(x, planning))
∀x ((Stu... | GoodAt(james, chemistry) ∧ GoodAt(james, math) | Some students in the class who are good at math are also good at chemistry.
All students in the class who are good at chemistry enjoy conducting experiments.
All students in the class that enjoy conducting experiments are good at planning.
None of the students who are good at planning failed the class.
James is a stu... | <constants>
a = math
b = chemistry
c = conductingExperiment
d = planning
e = theClass
f = james
</constants>
<predicates>
Px: x is a student in the class
Qxy: x good at y
Rxy: x enjoy y
Sxy: x failed y
</predicates>
<premises>
1. Ex(Ey(((((((((((Px & Qxa)) & Qxb)) & ~(x = y))) & Py)) & Qya)) & Qyb))
2. Ax(((Px & Qxb)) ... |
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