conclusion
stringlengths 10
388
| premises
sequence | premises-FOL
sequence | label
stringclasses 3
values |
---|---|---|---|
Kowloon District is in Hong Kong. | [
"Xiufeng, Xiangshan, Diecai, Qixing are districts in the city of Guilin.",
"Yangshuo is not a district in Guilin. "
] | [
"DistrictIn(xiufeng, guilin) ∧ DistrictIn(xiangshan, guilin) ∧ DistrictIn(diecai, guilin) ∧ DistrictIn(qixing, guilin) ∧ City(guilin)",
"¬DistrictIn(yangshuo, guilin)"
] | Unknown |
Michael enjoys going out often to restaurants with friends. | [
"All people who grow their own fresh vegetables in their home garden also have ample space.",
"If people are young working professionals who live in large cities, then they do not have ample space.",
"If people order takeout from delivery services often, then they grow their own fresh vegetables in their home garden.",
"If people enjoy going out often to restaurants with friends, then they order takeout from delivery services often.",
"If people regularly tout the benefits of homegrown and homecooked meals over fast food, then they enjoy going out often to restaurants with friends. ",
"Michael grows his own fresh vegetables in his home garden or regularly touts the benefits of homegrown and homecooked meals over fast food."
] | [
"∀x (Garden(x) → Space(x))",
"∀x (Professional(x) → ¬Space(x))",
"∀x (Takeout(x) → Garden(x))",
"∀x (GoingOut(x) → Takeout(x))",
"∀x (Homecooked(x) → GoingOut(x))",
"Garden(michael) ∨ Homecooked(michael)"
] | Unknown |
Michael is a young working professional who lives in large cities. | [
"All people who grow their own fresh vegetables in their home garden also have ample space.",
"If people are young working professionals who live in large cities, then they do not have ample space.",
"If people order takeout from delivery services often, then they grow their own fresh vegetables in their home garden.",
"If people enjoy going out often to restaurants with friends, then they order takeout from delivery services often.",
"If people regularly tout the benefits of homegrown and homecooked meals over fast food, then they enjoy going out often to restaurants with friends. ",
"Michael grows his own fresh vegetables in his home garden or regularly touts the benefits of homegrown and homecooked meals over fast food."
] | [
"∀x (Garden(x) → Space(x))",
"∀x (Professional(x) → ¬Space(x))",
"∀x (Takeout(x) → Garden(x))",
"∀x (GoingOut(x) → Takeout(x))",
"∀x (Homecooked(x) → GoingOut(x))",
"Garden(michael) ∨ Homecooked(michael)"
] | False |
Michael grows his own fresh vegetables in their home garden or is a young working professional who lives in large cities. | [
"All people who grow their own fresh vegetables in their home garden also have ample space.",
"If people are young working professionals who live in large cities, then they do not have ample space.",
"If people order takeout from delivery services often, then they grow their own fresh vegetables in their home garden.",
"If people enjoy going out often to restaurants with friends, then they order takeout from delivery services often.",
"If people regularly tout the benefits of homegrown and homecooked meals over fast food, then they enjoy going out often to restaurants with friends. ",
"Michael grows his own fresh vegetables in his home garden or regularly touts the benefits of homegrown and homecooked meals over fast food."
] | [
"∀x (Garden(x) → Space(x))",
"∀x (Professional(x) → ¬Space(x))",
"∀x (Takeout(x) → Garden(x))",
"∀x (GoingOut(x) → Takeout(x))",
"∀x (Homecooked(x) → GoingOut(x))",
"Garden(michael) ∨ Homecooked(michael)"
] | True |
iPod1 is easy to operate. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices belonging to employees are connected to the company's wifi. ",
"All devices connected to Google Home are controlled by the managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"IPod1 belongs to employees. "
] | [
"∀x (Company(x) → GoogleHome(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → Controlled(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"Employee(iPod1)"
] | True |
iPod1 is controlled by managers. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices belonging to employees are connected to the company's wifi. ",
"All devices connected to Google Home are controlled by the managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"IPod1 belongs to employees. "
] | [
"∀x (Company(x) → GoogleHome(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → Controlled(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"Employee(iPod1)"
] | Unknown |
iPod1 is connected to Google Home. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices belonging to employees are connected to the company's wifi. ",
"All devices connected to Google Home are controlled by the managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"IPod1 belongs to employees. "
] | [
"∀x (Company(x) → GoogleHome(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → Controlled(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"Employee(iPod1)"
] | Unknown |
Ryan is interesting as an individual performer. | [
"No touring musicians are permanent members of an orchestra.",
"Musicians are either permanent members of an orchestra or have a unique musical voice or style.",
"All musicians who have a unique musical voice or style are interesting as individual performers.",
"All musicians who are interesting as individual performers are capable of attracting large audiences.",
"If Ryan is interesting as an individual performer and has a unique musical voice or style, then Ryan is either a touring soloist musician and capable of attracting large audiences, or neither a touring soloist musician nor capable of attracting large audiences."
] | [
"∀x (Orchestra(x) → ¬Touring(x))",
"∀x (Orchestra(x) ⊕ Unique(x))",
"∀x (Unique(x) → Interesting(x))",
"∀x (Interesting(x) → Capable(x))",
"(Interesting(ryan) ∧ Unique(ryan)) → ¬(Touring(ryan) ⊕ Capable(ryan))"
] | Unknown |
Ryan is either a permanent member of an orchestra or a touring soloist musician. | [
"No touring musicians are permanent members of an orchestra.",
"Musicians are either permanent members of an orchestra or have a unique musical voice or style.",
"All musicians who have a unique musical voice or style are interesting as individual performers.",
"All musicians who are interesting as individual performers are capable of attracting large audiences.",
"If Ryan is interesting as an individual performer and has a unique musical voice or style, then Ryan is either a touring soloist musician and capable of attracting large audiences, or neither a touring soloist musician nor capable of attracting large audiences."
] | [
"∀x (Orchestra(x) → ¬Touring(x))",
"∀x (Orchestra(x) ⊕ Unique(x))",
"∀x (Unique(x) → Interesting(x))",
"∀x (Interesting(x) → Capable(x))",
"(Interesting(ryan) ∧ Unique(ryan)) → ¬(Touring(ryan) ⊕ Capable(ryan))"
] | True |
Ryan is either a permanent member of an orchestra or has a unique musical voice or style. | [
"No touring musicians are permanent members of an orchestra.",
"Musicians are either permanent members of an orchestra or have a unique musical voice or style.",
"All musicians who have a unique musical voice or style are interesting as individual performers.",
"All musicians who are interesting as individual performers are capable of attracting large audiences.",
"If Ryan is interesting as an individual performer and has a unique musical voice or style, then Ryan is either a touring soloist musician and capable of attracting large audiences, or neither a touring soloist musician nor capable of attracting large audiences."
] | [
"∀x (Orchestra(x) → ¬Touring(x))",
"∀x (Orchestra(x) ⊕ Unique(x))",
"∀x (Unique(x) → Interesting(x))",
"∀x (Interesting(x) → Capable(x))",
"(Interesting(ryan) ∧ Unique(ryan)) → ¬(Touring(ryan) ⊕ Capable(ryan))"
] | True |
Harry is cool. | [
"If someone yells, then they are not cool.",
"If someone is angry, then they yell.",
"If someone flies, then they are cool.",
"Every person that knows magic can fly.",
"All wizards know magic.",
"Harry either yells and flies, or neither yells nor flies.",
"Potter is a wizard and flies."
] | [
"∀x (Yell(x) → ¬Cool(x))",
"∀x (Angry(x) → Yell(x))",
"∀x (Fly(x) → Cool(x))",
"∀x (KnowMagic(x) → Fly(x))",
"∀x (Wizard(x) → KnowMagic(x))",
"(Yell(harry) ∧ Fly(harry)) ⊕ (¬Yell(harry) ∧ ¬Fly(harry))",
"Wizard(potter) ∧ Fly(potter)"
] | Unknown |
Harry is not cool. | [
"If someone yells, then they are not cool.",
"If someone is angry, then they yell.",
"If someone flies, then they are cool.",
"Every person that knows magic can fly.",
"All wizards know magic.",
"Harry either yells and flies, or neither yells nor flies.",
"Potter is a wizard and flies."
] | [
"∀x (Yell(x) → ¬Cool(x))",
"∀x (Angry(x) → Yell(x))",
"∀x (Fly(x) → Cool(x))",
"∀x (KnowMagic(x) → Fly(x))",
"∀x (Wizard(x) → KnowMagic(x))",
"(Yell(harry) ∧ Fly(harry)) ⊕ (¬Yell(harry) ∧ ¬Fly(harry))",
"Wizard(potter) ∧ Fly(potter)"
] | Unknown |
Harry is a wizard or angry. | [
"If someone yells, then they are not cool.",
"If someone is angry, then they yell.",
"If someone flies, then they are cool.",
"Every person that knows magic can fly.",
"All wizards know magic.",
"Harry either yells and flies, or neither yells nor flies.",
"Potter is a wizard and flies."
] | [
"∀x (Yell(x) → ¬Cool(x))",
"∀x (Angry(x) → Yell(x))",
"∀x (Fly(x) → Cool(x))",
"∀x (KnowMagic(x) → Fly(x))",
"∀x (Wizard(x) → KnowMagic(x))",
"(Yell(harry) ∧ Fly(harry)) ⊕ (¬Yell(harry) ∧ ¬Fly(harry))",
"Wizard(potter) ∧ Fly(potter)"
] | False |
Harry is neither a wizard nor angry. | [
"If someone yells, then they are not cool.",
"If someone is angry, then they yell.",
"If someone flies, then they are cool.",
"Every person that knows magic can fly.",
"All wizards know magic.",
"Harry either yells and flies, or neither yells nor flies.",
"Potter is a wizard and flies."
] | [
"∀x (Yell(x) → ¬Cool(x))",
"∀x (Angry(x) → Yell(x))",
"∀x (Fly(x) → Cool(x))",
"∀x (KnowMagic(x) → Fly(x))",
"∀x (Wizard(x) → KnowMagic(x))",
"(Yell(harry) ∧ Fly(harry)) ⊕ (¬Yell(harry) ∧ ¬Fly(harry))",
"Wizard(potter) ∧ Fly(potter)"
] | True |
G-910 is displayed on the homepage. | [
"Products are either produced in China or the US. ",
"All produced in China are labeled. ",
"All produced in the US are sold in the US. ",
"If labeled, then the product is cheaper. ",
"All sold in the US are sold in Walmart. ",
"All displayed on the homepage are sold in Walmart. ",
"No products returned by customers are sold in Walmart. ",
"G-910 is either displayed on the homepage or cheaper."
] | [
"∀x (China(x) ⊕ US(x))",
"∀x (China(x) → Labeled(x))",
"∀x (US(x) → SoldInUS(x))",
"∀x (Labeled(x) → Cheaper(x))",
"∀x (SoldInUS(x) → SoldInWalmart(x))",
"∀x (DisplayedInHomepage(x) → SoldInWalmart(x))",
"∀x (ReturnedByCustomer(x) → ¬SoldInWalmart(x))",
"¬(DisplayedInHomepage(g910) ⊕ Cheaper(g910))"
] | Unknown |
G-910 is not displayed on the homepage. | [
"Products are either produced in China or the US. ",
"All produced in China are labeled. ",
"All produced in the US are sold in the US. ",
"If labeled, then the product is cheaper. ",
"All sold in the US are sold in Walmart. ",
"All displayed on the homepage are sold in Walmart. ",
"No products returned by customers are sold in Walmart. ",
"G-910 is either displayed on the homepage or cheaper."
] | [
"∀x (China(x) ⊕ US(x))",
"∀x (China(x) → Labeled(x))",
"∀x (US(x) → SoldInUS(x))",
"∀x (Labeled(x) → Cheaper(x))",
"∀x (SoldInUS(x) → SoldInWalmart(x))",
"∀x (DisplayedInHomepage(x) → SoldInWalmart(x))",
"∀x (ReturnedByCustomer(x) → ¬SoldInWalmart(x))",
"¬(DisplayedInHomepage(g910) ⊕ Cheaper(g910))"
] | Unknown |
G-910 is a product returned by customers. | [
"Products are either produced in China or the US. ",
"All produced in China are labeled. ",
"All produced in the US are sold in the US. ",
"If labeled, then the product is cheaper. ",
"All sold in the US are sold in Walmart. ",
"All displayed on the homepage are sold in Walmart. ",
"No products returned by customers are sold in Walmart. ",
"G-910 is either displayed on the homepage or cheaper."
] | [
"∀x (China(x) ⊕ US(x))",
"∀x (China(x) → Labeled(x))",
"∀x (US(x) → SoldInUS(x))",
"∀x (Labeled(x) → Cheaper(x))",
"∀x (SoldInUS(x) → SoldInWalmart(x))",
"∀x (DisplayedInHomepage(x) → SoldInWalmart(x))",
"∀x (ReturnedByCustomer(x) → ¬SoldInWalmart(x))",
"¬(DisplayedInHomepage(g910) ⊕ Cheaper(g910))"
] | False |
G-910 is a product returned by customers or sold in Walmart. | [
"Products are either produced in China or the US. ",
"All produced in China are labeled. ",
"All produced in the US are sold in the US. ",
"If labeled, then the product is cheaper. ",
"All sold in the US are sold in Walmart. ",
"All displayed on the homepage are sold in Walmart. ",
"No products returned by customers are sold in Walmart. ",
"G-910 is either displayed on the homepage or cheaper."
] | [
"∀x (China(x) ⊕ US(x))",
"∀x (China(x) → Labeled(x))",
"∀x (US(x) → SoldInUS(x))",
"∀x (Labeled(x) → Cheaper(x))",
"∀x (SoldInUS(x) → SoldInWalmart(x))",
"∀x (DisplayedInHomepage(x) → SoldInWalmart(x))",
"∀x (ReturnedByCustomer(x) → ¬SoldInWalmart(x))",
"¬(DisplayedInHomepage(g910) ⊕ Cheaper(g910))"
] | True |
G-910 is either returned by customers or sold in Walmart. | [
"Products are either produced in China or the US. ",
"All produced in China are labeled. ",
"All produced in the US are sold in the US. ",
"If labeled, then the product is cheaper. ",
"All sold in the US are sold in Walmart. ",
"All displayed on the homepage are sold in Walmart. ",
"No products returned by customers are sold in Walmart. ",
"G-910 is either displayed on the homepage or cheaper."
] | [
"∀x (China(x) ⊕ US(x))",
"∀x (China(x) → Labeled(x))",
"∀x (US(x) → SoldInUS(x))",
"∀x (Labeled(x) → Cheaper(x))",
"∀x (SoldInUS(x) → SoldInWalmart(x))",
"∀x (DisplayedInHomepage(x) → SoldInWalmart(x))",
"∀x (ReturnedByCustomer(x) → ¬SoldInWalmart(x))",
"¬(DisplayedInHomepage(g910) ⊕ Cheaper(g910))"
] | True |
Marcy either orders a lot of Amazon packages or saves a lot of money. | [
"People either order a lot of Amazon packages or are environmentally conscious.",
"If people order a lot of Amazon packages, then they get a lot of daily mail delivered.",
"If people are environmentally conscious, then they have solar panels in their homes.",
"If people get a lot of daily mail delivered, then they are very involved with their neighborhood.",
"If people have solar panels in their homes, then they save a lot of money.",
"If Marcy either gets a lot of mail and is very involved with her neighborhood or if she does not order a lot of Amazon packages nor is very involved with her neighborhood, then Marcy does not both get a lot of daily mail and order a lot of Amazon packages. "
] | [
"∀x (Amazon(x) ⊕ Environmental(x))",
"∀x (Amazon(x) → DailyMail(x))",
"∀x (Environmental(x) → Solar(x))",
"∀x (DailyMail(x) → Neighborhood(x))",
"∀x (Solar(x) → SaveMoney(x))",
"¬(DailyMail(marcy) ⊕ Neighborhood(marcy)) → (¬DailyMail(marcy) ∨ ¬Amazon(marcy))"
] | True |
If Marcy is not a person who orders a lot of Amazon packages and is very environmentally conscious, then Taylor is not someone who saves a lot of money and is environmentally conscious. | [
"People either order a lot of Amazon packages or are environmentally conscious.",
"If people order a lot of Amazon packages, then they get a lot of daily mail delivered.",
"If people are environmentally conscious, then they have solar panels in their homes.",
"If people get a lot of daily mail delivered, then they are very involved with their neighborhood.",
"If people have solar panels in their homes, then they save a lot of money.",
"If Marcy either gets a lot of mail and is very involved with her neighborhood or if she does not order a lot of Amazon packages nor is very involved with her neighborhood, then Marcy does not both get a lot of daily mail and order a lot of Amazon packages. "
] | [
"∀x (Amazon(x) ⊕ Environmental(x))",
"∀x (Amazon(x) → DailyMail(x))",
"∀x (Environmental(x) → Solar(x))",
"∀x (DailyMail(x) → Neighborhood(x))",
"∀x (Solar(x) → SaveMoney(x))",
"¬(DailyMail(marcy) ⊕ Neighborhood(marcy)) → (¬DailyMail(marcy) ∨ ¬Amazon(marcy))"
] | False |
When the police complete investigations, the prosecutor will prosecute the offender at an appropriate court. | [
"Indonesia is a country.",
"In Indonesia, the prosecutor only personally investigates cases of some special crimes.",
"Corruption is a type of crime.",
"Once the police complete investigations of a crime, they hand the evidence to the prosecutor. ",
"Evidence can be either satisfactory or unsatisfactory.",
"If the police hand the evidence to the prosecutor and the evidence is satisfactory, the prosecutor will prosecute the offender in an appropriate court."
] | [
"Country(indonesia)",
"∃x ∃y (Country(indonesia) ∧ Prosecutor(x) ∧ Crime(y) → InvestigatePersonally(x, y))",
"Crime(corruption)",
"∀x ∀y (Crime(y) ∧ PoliceCompInves(y) ∧ Prosecutor(x) → Evidence(y) ∧ HandToProsecutor(x, y))",
"∀x (Crime(x) ∧ Evidence(x) ∧ (Satisfactory(x) ⊕ Unsatisfactory(x)))",
"∀x ∀y (Evidence(y) ∧ HandToProsecutor(x, y) ∧ Satisfactory(y) → ProsecuteTheOffender(x, y))"
] | Unknown |
In Indonesia, the prosecutor personally investigates cases of corruption. | [
"Indonesia is a country.",
"In Indonesia, the prosecutor only personally investigates cases of some special crimes.",
"Corruption is a type of crime.",
"Once the police complete investigations of a crime, they hand the evidence to the prosecutor. ",
"Evidence can be either satisfactory or unsatisfactory.",
"If the police hand the evidence to the prosecutor and the evidence is satisfactory, the prosecutor will prosecute the offender in an appropriate court."
] | [
"Country(indonesia)",
"∃x ∃y (Country(indonesia) ∧ Prosecutor(x) ∧ Crime(y) → InvestigatePersonally(x, y))",
"Crime(corruption)",
"∀x ∀y (Crime(y) ∧ PoliceCompInves(y) ∧ Prosecutor(x) → Evidence(y) ∧ HandToProsecutor(x, y))",
"∀x (Crime(x) ∧ Evidence(x) ∧ (Satisfactory(x) ⊕ Unsatisfactory(x)))",
"∀x ∀y (Evidence(y) ∧ HandToProsecutor(x, y) ∧ Satisfactory(y) → ProsecuteTheOffender(x, y))"
] | Unknown |
When the police complete investigations, the prosecutor investigates in personally. | [
"Indonesia is a country.",
"In Indonesia, the prosecutor only personally investigates cases of some special crimes.",
"Corruption is a type of crime.",
"Once the police complete investigations of a crime, they hand the evidence to the prosecutor. ",
"Evidence can be either satisfactory or unsatisfactory.",
"If the police hand the evidence to the prosecutor and the evidence is satisfactory, the prosecutor will prosecute the offender in an appropriate court."
] | [
"Country(indonesia)",
"∃x ∃y (Country(indonesia) ∧ Prosecutor(x) ∧ Crime(y) → InvestigatePersonally(x, y))",
"Crime(corruption)",
"∀x ∀y (Crime(y) ∧ PoliceCompInves(y) ∧ Prosecutor(x) → Evidence(y) ∧ HandToProsecutor(x, y))",
"∀x (Crime(x) ∧ Evidence(x) ∧ (Satisfactory(x) ⊕ Unsatisfactory(x)))",
"∀x ∀y (Evidence(y) ∧ HandToProsecutor(x, y) ∧ Satisfactory(y) → ProsecuteTheOffender(x, y))"
] | Unknown |
Moonwatch is a mechanical watch. | [
"No watch that is battery-powered is automatic.",
"All digital watches are battery-powered.",
"Some mechanical watches are automatic.",
"All smart watches are digital.",
"Moonwatch is not a digital watch or an automatic."
] | [
"∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))",
"∀x (DigitalWatch(x) → BatteryPoweredWatch(x))",
"∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))",
"∀x (SmartWatch(x) → DigitalWatch(x))",
"¬DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)"
] | Unknown |
Moonwatch is a smartwatch and a mechanical watch. | [
"No watch that is battery-powered is automatic.",
"All digital watches are battery-powered.",
"Some mechanical watches are automatic.",
"All smart watches are digital.",
"Moonwatch is not a digital watch or an automatic."
] | [
"∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))",
"∀x (DigitalWatch(x) → BatteryPoweredWatch(x))",
"∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))",
"∀x (SmartWatch(x) → DigitalWatch(x))",
"¬DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)"
] | False |
If Moonwatch is a smartwatch and a mechanical watch, then Moonwatch is not a mechanical watch. | [
"No watch that is battery-powered is automatic.",
"All digital watches are battery-powered.",
"Some mechanical watches are automatic.",
"All smart watches are digital.",
"Moonwatch is not a digital watch or an automatic."
] | [
"∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))",
"∀x (DigitalWatch(x) → BatteryPoweredWatch(x))",
"∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))",
"∀x (SmartWatch(x) → DigitalWatch(x))",
"¬DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)"
] | True |
If Moonwatch is a mechanical or battery-powered watch, then Moonwatch is not a smartwatch. | [
"No watch that is battery-powered is automatic.",
"All digital watches are battery-powered.",
"Some mechanical watches are automatic.",
"All smart watches are digital.",
"Moonwatch is not a digital watch or an automatic."
] | [
"∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))",
"∀x (DigitalWatch(x) → BatteryPoweredWatch(x))",
"∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))",
"∀x (SmartWatch(x) → DigitalWatch(x))",
"¬DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)"
] | True |
John cannot use different condiments to cook. | [
"If a person can distinguish the taste of different condiments, then he/she can also use different condiments to cook.",
"People who have the talent of cooking can distinguish the taste of different condiments.",
"Only people with the talent of cooking can make delicious meals.",
"If the meal is popular at the party, then it is delicious.",
"John can make meals which are popular at the party."
] | [
"∀x (People(x) ∧ DistinguishCondiments(x) → UseDiffCondiments(x)) ∧ (∃x (People(x) ∧ ¬DistinguishCondiments(x) ∧ UseDiffCondiments(x))) ∧ ¬(∀x (People(x) ∧ DistinguishCondiments(x)))",
"∀x (People(x) ∧ TalentCooking(x) → DistinguishCondiments(x))",
"∀x ∀y (MakeMeal(x, y) ∧ Delicious(y) ∧ People(x) → TalentCooking(x)) ",
"∀x ∀y (MakeMeal(x, y) ∧ People(x) ∧ Popular(y) → Delicious(y))",
"∃x (People(john) ∧ MakeMeal(john, x) ∧ Popular(x) ∧ People(peter) ∧ ¬UseDiffCondiments(peter))"
] | False |
In Russia, an effective monetary policy is possible. | [
"Effective monetary policy is possible with successful inflation control and a strong national currency.",
"A country cannot simultaneously regulate the exchange rate and successfully control inflation.",
"The introduction of an embargo on foreign trade goods in a country leads to a sharp decrease in exports.",
"If exports fall sharply, the national currency cannot be in this country.",
"Regulation of the exchange rate is required to have a strong national currency. ",
"There is an embargo on Russian foreign trade goods."
] | [
"∀x (EffMonPolicy(x) → InfControl(x) ∧ StongCurr(x))",
"¬(∀x (InfControl(x) ∧ ExRate(x)))",
"∀x (Embargo(x) → ExportFall(x))",
"∀x (ExportFall(x) → ¬StongCurr(x))",
"∀x (ExRate(x) → StongCurr(x))",
"Embargo(russia)"
] | False |
Viewers send in funny videos to the French broadcast channel that are in French. | [
"Video Gag is a French television series that airs weekly.",
"Video Gag airs on the French broadcast channel TF1. ",
"If viewers send in funny videos to the French broadcast channel, then Video Gag airs them on television.",
"All videos aired on Video Gag are in French."
] | [
"∀x (VideoGag(x) → FrenchTelevision(x) ∧ AirsWeekly(x))",
"∀x (VideoGag(x) → ChannelTF1(x))",
"∀x (FunnyVideos(x) → AirsWeekly(x))",
"∀x (VideoGag(x) → AirsWeekly(x) ∧ French(x))"
] | Unknown |
Viewers send in funny videos to the French broadcast channel that are in English. | [
"Video Gag is a French television series that airs weekly.",
"Video Gag airs on the French broadcast channel TF1. ",
"If viewers send in funny videos to the French broadcast channel, then Video Gag airs them on television.",
"All videos aired on Video Gag are in French."
] | [
"∀x (VideoGag(x) → FrenchTelevision(x) ∧ AirsWeekly(x))",
"∀x (VideoGag(x) → ChannelTF1(x))",
"∀x (FunnyVideos(x) → AirsWeekly(x))",
"∀x (VideoGag(x) → AirsWeekly(x) ∧ French(x))"
] | Unknown |
Jack is a thing. | [
"All phones are things.",
"All cellphones are phones. ",
"All iPhones are cellphones. ",
"All engineers are workers.",
"All workers are human. ",
"Jack is either an engineer or a worker.",
"Jack is is either a human or a phone."
] | [
"∀x (Phone(x) → Thing(x))",
"∀x (Cellphone(x) → Phone(x))",
"∀x (Iphone(x) → Cellphone(x))",
"∀x (Engineer(x) → Worker(x))",
"∀x (Worker(x) → Human(x))",
"Engineer(jack) ⊕ Worker(jack) ",
"Human(jack) ⊕ Phone(jack)"
] | Unknown |
Jack is not a thing. | [
"All phones are things.",
"All cellphones are phones. ",
"All iPhones are cellphones. ",
"All engineers are workers.",
"All workers are human. ",
"Jack is either an engineer or a worker.",
"Jack is is either a human or a phone."
] | [
"∀x (Phone(x) → Thing(x))",
"∀x (Cellphone(x) → Phone(x))",
"∀x (Iphone(x) → Cellphone(x))",
"∀x (Engineer(x) → Worker(x))",
"∀x (Worker(x) → Human(x))",
"Engineer(jack) ⊕ Worker(jack) ",
"Human(jack) ⊕ Phone(jack)"
] | Unknown |
Jack is a thing and an iPhone. | [
"All phones are things.",
"All cellphones are phones. ",
"All iPhones are cellphones. ",
"All engineers are workers.",
"All workers are human. ",
"Jack is either an engineer or a worker.",
"Jack is is either a human or a phone."
] | [
"∀x (Phone(x) → Thing(x))",
"∀x (Cellphone(x) → Phone(x))",
"∀x (Iphone(x) → Cellphone(x))",
"∀x (Engineer(x) → Worker(x))",
"∀x (Worker(x) → Human(x))",
"Engineer(jack) ⊕ Worker(jack) ",
"Human(jack) ⊕ Phone(jack)"
] | False |
Jack is not both a thing and an iPhone. | [
"All phones are things.",
"All cellphones are phones. ",
"All iPhones are cellphones. ",
"All engineers are workers.",
"All workers are human. ",
"Jack is either an engineer or a worker.",
"Jack is is either a human or a phone."
] | [
"∀x (Phone(x) → Thing(x))",
"∀x (Cellphone(x) → Phone(x))",
"∀x (Iphone(x) → Cellphone(x))",
"∀x (Engineer(x) → Worker(x))",
"∀x (Worker(x) → Human(x))",
"Engineer(jack) ⊕ Worker(jack) ",
"Human(jack) ⊕ Phone(jack)"
] | True |
No phones are electronic. | [
"All iPhones are electronic.",
"Some phones are iPhones."
] | [
"∀x (IPhone(x) → Electronic(x))",
"∃x (Phone(x) ∧ IPhone(x))"
] | False |
A museum in NYC includes Byzantine and Islamic Art. | [
"Metropolitan Museum of Art is a museum in NYC.",
"Whitney Museum of American Art is a museum in NYC.",
"Museum of Modern Art (MoMA) is a museum if NYC. ",
"Metropolitan Museum of Art includes Bytantine and Islamic Art. ",
"Whitney Museum of American Art includes American art."
] | [
"Museum(metropolitanMuseumofArt) ∧ InNYC(metropolitanMuseumofArt)",
"Museum(whitneyMuseumofAmericanArt) ∧ InNYC(whitneyMuseumofAmericanArt)",
"Museum(museumofModernArt) ∧ InNYC(museumofModernArt)",
"Include(metropolitanMuseumofArt, byzantineArt) ∧ Include(metropolitanMuseumofArt, islamicArt)",
"Include(whitneyMuseumofAmericanArt, americanArt)"
] | True |
A museum in NYC includes American art. | [
"Metropolitan Museum of Art is a museum in NYC.",
"Whitney Museum of American Art is a museum in NYC.",
"Museum of Modern Art (MoMA) is a museum if NYC. ",
"Metropolitan Museum of Art includes Bytantine and Islamic Art. ",
"Whitney Museum of American Art includes American art."
] | [
"Museum(metropolitanMuseumofArt) ∧ InNYC(metropolitanMuseumofArt)",
"Museum(whitneyMuseumofAmericanArt) ∧ InNYC(whitneyMuseumofAmericanArt)",
"Museum(museumofModernArt) ∧ InNYC(museumofModernArt)",
"Include(metropolitanMuseumofArt, byzantineArt) ∧ Include(metropolitanMuseumofArt, islamicArt)",
"Include(whitneyMuseumofAmericanArt, americanArt)"
] | True |
A museum in NYC includes Greek art. | [
"Metropolitan Museum of Art is a museum in NYC.",
"Whitney Museum of American Art is a museum in NYC.",
"Museum of Modern Art (MoMA) is a museum if NYC. ",
"Metropolitan Museum of Art includes Bytantine and Islamic Art. ",
"Whitney Museum of American Art includes American art."
] | [
"Museum(metropolitanMuseumofArt) ∧ InNYC(metropolitanMuseumofArt)",
"Museum(whitneyMuseumofAmericanArt) ∧ InNYC(whitneyMuseumofAmericanArt)",
"Museum(museumofModernArt) ∧ InNYC(museumofModernArt)",
"Include(metropolitanMuseumofArt, byzantineArt) ∧ Include(metropolitanMuseumofArt, islamicArt)",
"Include(whitneyMuseumofAmericanArt, americanArt)"
] | Unknown |
Benji is a person who likes eating cheese. | [
"A person either likes eating cheese or is a francophile.",
"No francophiles are people who like Spain as their favorite country.",
"A person likes Spain as their favorite country or likes eating cheese.",
"Benji is not a person who likes eating cheese and a person who studies Spanish.",
"If Benji is neither a person who studies Spanish nor a person that studies French, then Benji is a person who studies Spanish or a person that studies French."
] | [
"∀x (Spanish(x) ∨ Francophile(x))",
"∀x (Francophile(x) → ¬SpainFav(x))",
"∀x (SpainFav(x) ∨ Cheese(x))",
"¬(Cheese(benji) ∧ Spanish(benji))",
"¬(Spanish(benji) ∨ French(benji)) → ¬(Cheese(benji) ⊕ French(benji))"
] | Unknown |
If Benji is either a person who likes eating cheese or a francophile, then Benji is neither a person who studies Spanish nor a person who studies French. | [
"A person either likes eating cheese or is a francophile.",
"No francophiles are people who like Spain as their favorite country.",
"A person likes Spain as their favorite country or likes eating cheese.",
"Benji is not a person who likes eating cheese and a person who studies Spanish.",
"If Benji is neither a person who studies Spanish nor a person that studies French, then Benji is a person who studies Spanish or a person that studies French."
] | [
"∀x (Spanish(x) ∨ Francophile(x))",
"∀x (Francophile(x) → ¬SpainFav(x))",
"∀x (SpainFav(x) ∨ Cheese(x))",
"¬(Cheese(benji) ∧ Spanish(benji))",
"¬(Spanish(benji) ∨ French(benji)) → ¬(Cheese(benji) ⊕ French(benji))"
] | True |
If Benji is a person who likes Spain as their favorite country or studies French, then Benji is either a person who studies Spanish or a person who likes Spain as their favorite country. | [
"A person either likes eating cheese or is a francophile.",
"No francophiles are people who like Spain as their favorite country.",
"A person likes Spain as their favorite country or likes eating cheese.",
"Benji is not a person who likes eating cheese and a person who studies Spanish.",
"If Benji is neither a person who studies Spanish nor a person that studies French, then Benji is a person who studies Spanish or a person that studies French."
] | [
"∀x (Spanish(x) ∨ Francophile(x))",
"∀x (Francophile(x) → ¬SpainFav(x))",
"∀x (SpainFav(x) ∨ Cheese(x))",
"¬(Cheese(benji) ∧ Spanish(benji))",
"¬(Spanish(benji) ∨ French(benji)) → ¬(Cheese(benji) ⊕ French(benji))"
] | False |
Gasteren is a Dutch village. | [
"Gasteren is village located in the province of Drenthe.",
"Drenthe is a Dutch province. ",
"No cities are villages.",
"The population of a village in Drenthe was 155 people."
] | [
"Village(gasteren) ∧ Province(drenthe) ∧ LocatedIn(gasteren, drenthe)",
"Province(drenthe) ∧ Dutch(drenthe)",
"∀x (City(x) → ¬Village(x))",
"∃x (Population155(x) ∧ Village(x) ∧ LocatedIn(x, drenthe))"
] | Unknown |
Gasteren is a city. | [
"Gasteren is village located in the province of Drenthe.",
"Drenthe is a Dutch province. ",
"No cities are villages.",
"The population of a village in Drenthe was 155 people."
] | [
"Village(gasteren) ∧ Province(drenthe) ∧ LocatedIn(gasteren, drenthe)",
"Province(drenthe) ∧ Dutch(drenthe)",
"∀x (City(x) → ¬Village(x))",
"∃x (Population155(x) ∧ Village(x) ∧ LocatedIn(x, drenthe))"
] | False |
Gasteren has a population of 155. | [
"Gasteren is village located in the province of Drenthe.",
"Drenthe is a Dutch province. ",
"No cities are villages.",
"The population of a village in Drenthe was 155 people."
] | [
"Village(gasteren) ∧ Province(drenthe) ∧ LocatedIn(gasteren, drenthe)",
"Province(drenthe) ∧ Dutch(drenthe)",
"∀x (City(x) → ¬Village(x))",
"∃x (Population155(x) ∧ Village(x) ∧ LocatedIn(x, drenthe))"
] | Unknown |
Hyraxes lay eggs. | [
"The only types of mammals that lay eggs are platypuses and echidnas.",
"Platypuses are not hyrax.",
"Echidnas are not hyrax.",
"No mammals are invertebrates.",
"All animals are either vertebrates or invertebrates.",
"Mammals are animals.",
"Hyraxes are mammals.",
"Grebes lay eggs.",
"Grebes are not platypuses and also not echidnas."
] | [
"∀x ((Mammal(x) ∧ LayEgg(x)) → (Platypuses(x) ⊕ Echidnas(x)))",
"∀x (Platypuses(x) → ¬Hyrax(x))",
"∀x (Echidnas(x) → ¬Hyrax(x))",
"∀x (Mammal(x) → ¬Invertebrate(x))",
"∀x (Animal(x) → Invertebrate(x) ⊕ Vertebrate(x))",
"∀x (Mammal(x) → Animal(x))",
"∀x (Hyrax(x) → Mammal(x))",
"∀x (Grebes(x) → LayEgg(x))",
"∀x (Grebes(x) → (¬Platypuses(x) ∧ ¬Echidnas(x)))"
] | False |
Grebes are not mammals. | [
"The only types of mammals that lay eggs are platypuses and echidnas.",
"Platypuses are not hyrax.",
"Echidnas are not hyrax.",
"No mammals are invertebrates.",
"All animals are either vertebrates or invertebrates.",
"Mammals are animals.",
"Hyraxes are mammals.",
"Grebes lay eggs.",
"Grebes are not platypuses and also not echidnas."
] | [
"∀x ((Mammal(x) ∧ LayEgg(x)) → (Platypuses(x) ⊕ Echidnas(x)))",
"∀x (Platypuses(x) → ¬Hyrax(x))",
"∀x (Echidnas(x) → ¬Hyrax(x))",
"∀x (Mammal(x) → ¬Invertebrate(x))",
"∀x (Animal(x) → Invertebrate(x) ⊕ Vertebrate(x))",
"∀x (Mammal(x) → Animal(x))",
"∀x (Hyrax(x) → Mammal(x))",
"∀x (Grebes(x) → LayEgg(x))",
"∀x (Grebes(x) → (¬Platypuses(x) ∧ ¬Echidnas(x)))"
] | True |
Platypuses are vertebrates. | [
"The only types of mammals that lay eggs are platypuses and echidnas.",
"Platypuses are not hyrax.",
"Echidnas are not hyrax.",
"No mammals are invertebrates.",
"All animals are either vertebrates or invertebrates.",
"Mammals are animals.",
"Hyraxes are mammals.",
"Grebes lay eggs.",
"Grebes are not platypuses and also not echidnas."
] | [
"∀x ((Mammal(x) ∧ LayEgg(x)) → (Platypuses(x) ⊕ Echidnas(x)))",
"∀x (Platypuses(x) → ¬Hyrax(x))",
"∀x (Echidnas(x) → ¬Hyrax(x))",
"∀x (Mammal(x) → ¬Invertebrate(x))",
"∀x (Animal(x) → Invertebrate(x) ⊕ Vertebrate(x))",
"∀x (Mammal(x) → Animal(x))",
"∀x (Hyrax(x) → Mammal(x))",
"∀x (Grebes(x) → LayEgg(x))",
"∀x (Grebes(x) → (¬Platypuses(x) ∧ ¬Echidnas(x)))"
] | Unknown |
Bobby Flynn is an Australian citizen. | [
"Bobby Flynn is a singer-songwriter. ",
"Bobby Flynn finished 7th while competing on Australian Idol.",
"Australian Idol competitors are Australian citizens.",
"The Omega Three band made a nationwide tour in 2007.",
"Bobby Flynn is a member of The Omega Three band.",
"Bobby Flynn was born in Queensland."
] | [
"Singer(bobbyFlynn) ∧ SongWriter(bobbyFlynn)",
"Finished7th(bobbyFlynn) ∧ CompetedOnAustralianIdol(bobbyFlynn)",
"∀x (CompetedOnAustralianIdol(x) → AustralianCitizen(x))",
"MadeNationWideTour2007(theOmegaThreeBand) ",
"IsMember(bobbyFlynn, theOmegaThreeBand)",
"BornIn(bobbyFlynn, queensland)"
] | True |
Bobby Flynn flew to America in 2007. | [
"Bobby Flynn is a singer-songwriter. ",
"Bobby Flynn finished 7th while competing on Australian Idol.",
"Australian Idol competitors are Australian citizens.",
"The Omega Three band made a nationwide tour in 2007.",
"Bobby Flynn is a member of The Omega Three band.",
"Bobby Flynn was born in Queensland."
] | [
"Singer(bobbyFlynn) ∧ SongWriter(bobbyFlynn)",
"Finished7th(bobbyFlynn) ∧ CompetedOnAustralianIdol(bobbyFlynn)",
"∀x (CompetedOnAustralianIdol(x) → AustralianCitizen(x))",
"MadeNationWideTour2007(theOmegaThreeBand) ",
"IsMember(bobbyFlynn, theOmegaThreeBand)",
"BornIn(bobbyFlynn, queensland)"
] | Unknown |
Bobby Flynn was born in Queens. | [
"Bobby Flynn is a singer-songwriter. ",
"Bobby Flynn finished 7th while competing on Australian Idol.",
"Australian Idol competitors are Australian citizens.",
"The Omega Three band made a nationwide tour in 2007.",
"Bobby Flynn is a member of The Omega Three band.",
"Bobby Flynn was born in Queensland."
] | [
"Singer(bobbyFlynn) ∧ SongWriter(bobbyFlynn)",
"Finished7th(bobbyFlynn) ∧ CompetedOnAustralianIdol(bobbyFlynn)",
"∀x (CompetedOnAustralianIdol(x) → AustralianCitizen(x))",
"MadeNationWideTour2007(theOmegaThreeBand) ",
"IsMember(bobbyFlynn, theOmegaThreeBand)",
"BornIn(bobbyFlynn, queensland)"
] | Unknown |
All enzymes are proteins. | [
"All proteins are organic compounds.",
"All enzymes are organic compounds."
] | [
"∀x (Protein(x) → OrganicCompound(x))",
"∀x (Enzyme(x) → OrganicCompound(x))"
] | Unknown |
There is a series by ABC that was developed by the showrunner of Witches of East End. | [
"One American screenwriter and producer is Maggie Friedman.",
"Maggie Friedman was the showrunner and executive producer of the lifetime television series Witches of East End.",
"Witches of East End is a fantasy-drama series.",
"Maggie Friedman produced and developed Eastwick.",
"Eastwick is a series by ABC."
] | [
"American(maggiefriedman) ∧ Screenwriter(maggiefriedman) ∧ Producer(maggiefriedman)",
"ShowRunnerOf(maggiefriedman, witchesofeastend) ∧ ExecutiveProducerOf(maggiefriedman, witchesofeastend) ∧ LifetimeTelevisionSeries(maggiefriedman)",
"Fantasy-Drama(witchesofeastend) ∧ Series(witchesofeastend)",
"Produced(maggiefriedman, eastwick) ∧ Developed(maggiefriedman, eastwick)",
"Series(eastwick) ∧ By(eastwick, abc)"
] | True |
There isn't a series by ABC that was developed by the showrunner of Witches of East End. | [
"One American screenwriter and producer is Maggie Friedman.",
"Maggie Friedman was the showrunner and executive producer of the lifetime television series Witches of East End.",
"Witches of East End is a fantasy-drama series.",
"Maggie Friedman produced and developed Eastwick.",
"Eastwick is a series by ABC."
] | [
"American(maggiefriedman) ∧ Screenwriter(maggiefriedman) ∧ Producer(maggiefriedman)",
"ShowRunnerOf(maggiefriedman, witchesofeastend) ∧ ExecutiveProducerOf(maggiefriedman, witchesofeastend) ∧ LifetimeTelevisionSeries(maggiefriedman)",
"Fantasy-Drama(witchesofeastend) ∧ Series(witchesofeastend)",
"Produced(maggiefriedman, eastwick) ∧ Developed(maggiefriedman, eastwick)",
"Series(eastwick) ∧ By(eastwick, abc)"
] | False |
Maggie Friedman developed Witches of East End. | [
"One American screenwriter and producer is Maggie Friedman.",
"Maggie Friedman was the showrunner and executive producer of the lifetime television series Witches of East End.",
"Witches of East End is a fantasy-drama series.",
"Maggie Friedman produced and developed Eastwick.",
"Eastwick is a series by ABC."
] | [
"American(maggiefriedman) ∧ Screenwriter(maggiefriedman) ∧ Producer(maggiefriedman)",
"ShowRunnerOf(maggiefriedman, witchesofeastend) ∧ ExecutiveProducerOf(maggiefriedman, witchesofeastend) ∧ LifetimeTelevisionSeries(maggiefriedman)",
"Fantasy-Drama(witchesofeastend) ∧ Series(witchesofeastend)",
"Produced(maggiefriedman, eastwick) ∧ Developed(maggiefriedman, eastwick)",
"Series(eastwick) ∧ By(eastwick, abc)"
] | Unknown |
IBM has an office in London or Zurich. | [
"Evangelos Eleftheriou is a Greek electrical engineer.",
"Evangelos Eleftheriou worked for IBM in Zurich.",
"If a company has employees working for them somewhere, then they have an office there.",
"IBM is a company."
] | [
"Greek(evangeloseleftheriou) ∧ ElectricalEngineer(evangeloseleftheriou)",
"WorkedFor(evangeloseleftheriou, ibm) ∧ WorkedIn(evangeloseleftheriou, zurich)",
"∀x ∀x ∀z (Company(x) ∧ WorkedFor(y, x) ∧ WorkedIn(y, z) → HasOfficeIn(x, z))",
"Company(ibm)"
] | True |
No Greeks have worked for IBM. | [
"Evangelos Eleftheriou is a Greek electrical engineer.",
"Evangelos Eleftheriou worked for IBM in Zurich.",
"If a company has employees working for them somewhere, then they have an office there.",
"IBM is a company."
] | [
"Greek(evangeloseleftheriou) ∧ ElectricalEngineer(evangeloseleftheriou)",
"WorkedFor(evangeloseleftheriou, ibm) ∧ WorkedIn(evangeloseleftheriou, zurich)",
"∀x ∀x ∀z (Company(x) ∧ WorkedFor(y, x) ∧ WorkedIn(y, z) → HasOfficeIn(x, z))",
"Company(ibm)"
] | False |
"Hooray! Hooray! It's a Holi-Holiday!" was a #1 hit in Germany. | [
"Before releasing their single, \"Hooray! Hooray! It's a Holi-Holiday!\", Boney M. had had seven consecutive German #1 singles.",
"\"Hooray! Hooray! It's a Holi-Holiday!\" was a big hit all over Europe.",
"Nevertheless, \"Hooray! Hooray! It's a Holi-Holiday!\" broke Boney M's streak of consecutive German #1 singles.",
"A song that peaks below #1 on the german charts is also a song that is not the #1 single"
] | [
"∃x (Song(x) ∧ By(x, boneym) ∧ N1GermanSingle(x))",
"Song(hooray) ∧ HitEurope(hooray)",
"Song(hooray) ∧ ¬N1GermanSingle(hooray)",
"∀x (PeaksBelowN1(x) ↔ ¬N1GermanSingle(x))"
] | False |
"Hooray! Hooray! It's a Holi-Holiday!" peaked below #1 on the German charts. | [
"Before releasing their single, \"Hooray! Hooray! It's a Holi-Holiday!\", Boney M. had had seven consecutive German #1 singles.",
"\"Hooray! Hooray! It's a Holi-Holiday!\" was a big hit all over Europe.",
"Nevertheless, \"Hooray! Hooray! It's a Holi-Holiday!\" broke Boney M's streak of consecutive German #1 singles.",
"A song that peaks below #1 on the german charts is also a song that is not the #1 single"
] | [
"∃x (Song(x) ∧ By(x, boneym) ∧ N1GermanSingle(x))",
"Song(hooray) ∧ HitEurope(hooray)",
"Song(hooray) ∧ ¬N1GermanSingle(hooray)",
"∀x (PeaksBelowN1(x) ↔ ¬N1GermanSingle(x))"
] | True |
"Hooray! Hooray! It's a Holi-Holiday!" peaked at #3 on the UK charts. | [
"Before releasing their single, \"Hooray! Hooray! It's a Holi-Holiday!\", Boney M. had had seven consecutive German #1 singles.",
"\"Hooray! Hooray! It's a Holi-Holiday!\" was a big hit all over Europe.",
"Nevertheless, \"Hooray! Hooray! It's a Holi-Holiday!\" broke Boney M's streak of consecutive German #1 singles.",
"A song that peaks below #1 on the german charts is also a song that is not the #1 single"
] | [
"∃x (Song(x) ∧ By(x, boneym) ∧ N1GermanSingle(x))",
"Song(hooray) ∧ HitEurope(hooray)",
"Song(hooray) ∧ ¬N1GermanSingle(hooray)",
"∀x (PeaksBelowN1(x) ↔ ¬N1GermanSingle(x))"
] | Unknown |
Luke can make a good breakfast. | [
"Every chef can cook.",
"Some people who aren’t chefs can cook.",
"People who cook can make scrambled eggs and pasta.",
"If someone can make cookies and muffins, they are a baker.",
"Bakers who can also make scrambled eggs can make a good breakfast.",
"Luke can make cookies, scrambled eggs, and muffins, but not pasta."
] | [
"∀x (Chef(x) → Cook(x))",
"∃x (¬Chef(x) ∧ Cook(x))",
"∀x (Cook(x) → (MakeScrambledEggs(x) ∧ MakePasta(x)))",
"∀x (MakeCookies(x) ∧ MakeMuffins(x) → Baker(x))",
"∀x ((Baker(x) ∧ MakeScrambledEggs(x)) → MakeGoodBreakfast(x))",
"MakeCookies(luke) ∧ MakeScrambledEggs(luke) ∧ MakeMuffins(luke) ∧ ¬MakePasta(luke)"
] | True |
Luke is a chef. | [
"Every chef can cook.",
"Some people who aren’t chefs can cook.",
"People who cook can make scrambled eggs and pasta.",
"If someone can make cookies and muffins, they are a baker.",
"Bakers who can also make scrambled eggs can make a good breakfast.",
"Luke can make cookies, scrambled eggs, and muffins, but not pasta."
] | [
"∀x (Chef(x) → Cook(x))",
"∃x (¬Chef(x) ∧ Cook(x))",
"∀x (Cook(x) → (MakeScrambledEggs(x) ∧ MakePasta(x)))",
"∀x (MakeCookies(x) ∧ MakeMuffins(x) → Baker(x))",
"∀x ((Baker(x) ∧ MakeScrambledEggs(x)) → MakeGoodBreakfast(x))",
"MakeCookies(luke) ∧ MakeScrambledEggs(luke) ∧ MakeMuffins(luke) ∧ ¬MakePasta(luke)"
] | False |
ETS develops assessments for K-12 statewide as well as entry to US tertiary and quaternary education institutions. | [
"ETS develops various standardized tests primarily in the United States for K-12 and higher education. ",
"ETS administers international tests including the TOEFL, TOEIC, GRE and subject tests in more than 180 countries.",
"Many of the assessments ETS develops are associated with entry to the US tertiary and quaternary education institutions. ",
"ETS also develops K-12 statewide assessments used for accountability testing in many states."
] | [
"∃x (Develops(ets, x) ∧ StandardizedTest(x) ∧ In(x, unitedstates) ∧ For(x, k-12andhighereducation))",
"∃x (Administers(ets, x) ∧ InternationalTest(x) ∧ (TOEFL(x) ∨ TOEIC(x) ∨ GRE(x) ∨ SubjectTests(x)))",
"∃x (Develops(ets, x) ∧ AssociatedWith(x, entrytouseducationinstitutions))",
"∃x (Develops(ets, x) ∧ StateWideAssesment(x) ∧ UsedFor(x, accountabilitytesting))"
] | True |
ETS doesn't administer tests internationally. | [
"ETS develops various standardized tests primarily in the United States for K-12 and higher education. ",
"ETS administers international tests including the TOEFL, TOEIC, GRE and subject tests in more than 180 countries.",
"Many of the assessments ETS develops are associated with entry to the US tertiary and quaternary education institutions. ",
"ETS also develops K-12 statewide assessments used for accountability testing in many states."
] | [
"∃x (Develops(ets, x) ∧ StandardizedTest(x) ∧ In(x, unitedstates) ∧ For(x, k-12andhighereducation))",
"∃x (Administers(ets, x) ∧ InternationalTest(x) ∧ (TOEFL(x) ∨ TOEIC(x) ∨ GRE(x) ∨ SubjectTests(x)))",
"∃x (Develops(ets, x) ∧ AssociatedWith(x, entrytouseducationinstitutions))",
"∃x (Develops(ets, x) ∧ StateWideAssesment(x) ∧ UsedFor(x, accountabilitytesting))"
] | False |
ETS administers international tests including the TOEFL, GRE and subject tests in China. | [
"ETS develops various standardized tests primarily in the United States for K-12 and higher education. ",
"ETS administers international tests including the TOEFL, TOEIC, GRE and subject tests in more than 180 countries.",
"Many of the assessments ETS develops are associated with entry to the US tertiary and quaternary education institutions. ",
"ETS also develops K-12 statewide assessments used for accountability testing in many states."
] | [
"∃x (Develops(ets, x) ∧ StandardizedTest(x) ∧ In(x, unitedstates) ∧ For(x, k-12andhighereducation))",
"∃x (Administers(ets, x) ∧ InternationalTest(x) ∧ (TOEFL(x) ∨ TOEIC(x) ∨ GRE(x) ∨ SubjectTests(x)))",
"∃x (Develops(ets, x) ∧ AssociatedWith(x, entrytouseducationinstitutions))",
"∃x (Develops(ets, x) ∧ StateWideAssesment(x) ∧ UsedFor(x, accountabilitytesting))"
] | Unknown |
Robert can resist the hallmark delectable drinks and desserts that are famed in Italy. | [
"All people who enjoy eating gelato ice cream would enjoy a vacation to Italy.",
"There are no people who can resist the hallmark delectable drinks and desserts that are famed in Italy.",
"People either enjoy eating gelato ice cream or love to travel and vacation often.",
"If people often take study abroad semesters to Europe, then they do not regret their college experiences.",
"If people love to travel and vacation often, then they often take study abroad semesters to Europe.",
"Robert either enjoys eating gelato ice cream and loves to travel and vacation often, or he neither enjoys eating gelato ice cream nor loves to travel and vacation often."
] | [
"∀x (Gelato(x) → Italy(x))",
"∀x (¬Resist(x))",
"∀x (Gelato(x) ∨ Travel(x))",
"∀x (Europe(x) → ¬Regret(x))",
"∀x (Travel(x) → Europe(x))",
"(Gelato(robert) ∧ Travel(robert)) ∨ (¬Gelato(robert) ∧ ¬Travel(robert))"
] | False |
If Robert either would both enjoy a vacation to Italy and regrets his college experiences or neither would enjoy a vacation to Italy nor regrets his college experiences, then Robert would either enjoy a vacation to Italy or, if not, then he can resist the hallmark delectable drinks and desserts that are famed in Italy. | [
"All people who enjoy eating gelato ice cream would enjoy a vacation to Italy.",
"There are no people who can resist the hallmark delectable drinks and desserts that are famed in Italy.",
"People either enjoy eating gelato ice cream or love to travel and vacation often.",
"If people often take study abroad semesters to Europe, then they do not regret their college experiences.",
"If people love to travel and vacation often, then they often take study abroad semesters to Europe.",
"Robert either enjoys eating gelato ice cream and loves to travel and vacation often, or he neither enjoys eating gelato ice cream nor loves to travel and vacation often."
] | [
"∀x (Gelato(x) → Italy(x))",
"∀x (¬Resist(x))",
"∀x (Gelato(x) ∨ Travel(x))",
"∀x (Europe(x) → ¬Regret(x))",
"∀x (Travel(x) → Europe(x))",
"(Gelato(robert) ∧ Travel(robert)) ∨ (¬Gelato(robert) ∧ ¬Travel(robert))"
] | True |
If Robert is not both a person who can resist the hallmark delectable drinks and desserts that are famed in Italy and regrets his college experiences, then Robert either enjoys eating gelato ice cream or would enjoy a vacation to Italy. | [
"All people who enjoy eating gelato ice cream would enjoy a vacation to Italy.",
"There are no people who can resist the hallmark delectable drinks and desserts that are famed in Italy.",
"People either enjoy eating gelato ice cream or love to travel and vacation often.",
"If people often take study abroad semesters to Europe, then they do not regret their college experiences.",
"If people love to travel and vacation often, then they often take study abroad semesters to Europe.",
"Robert either enjoys eating gelato ice cream and loves to travel and vacation often, or he neither enjoys eating gelato ice cream nor loves to travel and vacation often."
] | [
"∀x (Gelato(x) → Italy(x))",
"∀x (¬Resist(x))",
"∀x (Gelato(x) ∨ Travel(x))",
"∀x (Europe(x) → ¬Regret(x))",
"∀x (Travel(x) → Europe(x))",
"(Gelato(robert) ∧ Travel(robert)) ∨ (¬Gelato(robert) ∧ ¬Travel(robert))"
] | False |
Tom is a PhD graduate. | [
"To get a student visa, you must be full-time enrolled in an academic program.",
"Those who are full-time enrolled in an academic program can not work full-time.",
"Everyone who wants to study abroad needs to have a student visa.",
"All PhD graduates can work full time. ",
"If Tom does not want to study abroad, he is full-time enrolled in an educational program."
] | [
"∀x (StudentVisa(x) → FullTimeAcademic(x))",
"∀x (FullTimeAcademic(x) → ¬WorkFullTime(x))",
"∀x (StudyAbroad(x) → StudentVisa(x))",
"∀x (PhdGraduate(x) → WorkFullTime(x))",
"¬StudyAbroad(tom) → FullTimeAcademic(tom)"
] | False |
Tom is not a PhD graduate. | [
"To get a student visa, you must be full-time enrolled in an academic program.",
"Those who are full-time enrolled in an academic program can not work full-time.",
"Everyone who wants to study abroad needs to have a student visa.",
"All PhD graduates can work full time. ",
"If Tom does not want to study abroad, he is full-time enrolled in an educational program."
] | [
"∀x (StudentVisa(x) → FullTimeAcademic(x))",
"∀x (FullTimeAcademic(x) → ¬WorkFullTime(x))",
"∀x (StudyAbroad(x) → StudentVisa(x))",
"∀x (PhdGraduate(x) → WorkFullTime(x))",
"¬StudyAbroad(tom) → FullTimeAcademic(tom)"
] | True |
Tom wants to study abroad. | [
"To get a student visa, you must be full-time enrolled in an academic program.",
"Those who are full-time enrolled in an academic program can not work full-time.",
"Everyone who wants to study abroad needs to have a student visa.",
"All PhD graduates can work full time. ",
"If Tom does not want to study abroad, he is full-time enrolled in an educational program."
] | [
"∀x (StudentVisa(x) → FullTimeAcademic(x))",
"∀x (FullTimeAcademic(x) → ¬WorkFullTime(x))",
"∀x (StudyAbroad(x) → StudentVisa(x))",
"∀x (PhdGraduate(x) → WorkFullTime(x))",
"¬StudyAbroad(tom) → FullTimeAcademic(tom)"
] | Unknown |
Sally's company utilizes the installment sales method. | [
"The installment sales method is the approach to recognize revenue under the US GAAP.",
"In accrual accounting, revenues are recognized when they are realized.",
"In cash accounting, revenues are recognized when cash is received.",
"The US GAAP is the accounting standard developed and used by the US Securities and Exchange Commission.",
"Sally works for the US Securities and Exchange Commission."
] | [
"∀x (UsesGAAP(x) → UsesInstallmentMethod(x))",
"∀x (UsesAccruralAccounting(x) → RecognizedWhen(revenues, realized))",
"∀x (UsesCashAccounting(x) → RecognizedWhen(revenues, cashrecieved))",
"DevelopedBy(usgaap, ussecuritiesandexchangecommission) ∧ UsesGAAP(ussecuritiesandexchangecommission)",
"WorksFor(sally, ussecuritiesandexchangecommission)"
] | True |
The company Sally works for performs accrual accounting. | [
"The installment sales method is the approach to recognize revenue under the US GAAP.",
"In accrual accounting, revenues are recognized when they are realized.",
"In cash accounting, revenues are recognized when cash is received.",
"The US GAAP is the accounting standard developed and used by the US Securities and Exchange Commission.",
"Sally works for the US Securities and Exchange Commission."
] | [
"∀x (UsesGAAP(x) → UsesInstallmentMethod(x))",
"∀x (UsesAccruralAccounting(x) → RecognizedWhen(revenues, realized))",
"∀x (UsesCashAccounting(x) → RecognizedWhen(revenues, cashrecieved))",
"DevelopedBy(usgaap, ussecuritiesandexchangecommission) ∧ UsesGAAP(ussecuritiesandexchangecommission)",
"WorksFor(sally, ussecuritiesandexchangecommission)"
] | Unknown |
Sally does not work for a company that uses the GAAP. | [
"The installment sales method is the approach to recognize revenue under the US GAAP.",
"In accrual accounting, revenues are recognized when they are realized.",
"In cash accounting, revenues are recognized when cash is received.",
"The US GAAP is the accounting standard developed and used by the US Securities and Exchange Commission.",
"Sally works for the US Securities and Exchange Commission."
] | [
"∀x (UsesGAAP(x) → UsesInstallmentMethod(x))",
"∀x (UsesAccruralAccounting(x) → RecognizedWhen(revenues, realized))",
"∀x (UsesCashAccounting(x) → RecognizedWhen(revenues, cashrecieved))",
"DevelopedBy(usgaap, ussecuritiesandexchangecommission) ∧ UsesGAAP(ussecuritiesandexchangecommission)",
"WorksFor(sally, ussecuritiesandexchangecommission)"
] | False |
James contributes to the country. | [
"All people who are respected by others are people who contribute to the country. ",
"If a person is respected by others, then he/she contributes to the country. ",
"All people available to have a visit without any fees are those respected by others. ",
"All Customers who once served in the army are available to have a visit without any fees. ",
"All people who once were sentenced for thief stayed in prison for some time. ",
"All people who once stayed in prison for some time have a bad record in the local state. ",
"James was either once sentenced for thief or stayed in prison for some time. ",
"James is either with a bad record in the local state or respected by others. "
] | [
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (HaveVisitWithoutAnyFees(x) → Respected(x))",
"∀x (Army(x) → HaveVisitWithoutAnyFees(x))",
"∀x (Thief(x) → Prison(x))",
"∀x (Prison(x) → BadRecord(x))",
"Thief(james) ⊕ Prison(james) ",
"BadRecord(james) ⊕ Respected(james)"
] | Unknown |
James does not contribute to the country. | [
"All people who are respected by others are people who contribute to the country. ",
"If a person is respected by others, then he/she contributes to the country. ",
"All people available to have a visit without any fees are those respected by others. ",
"All Customers who once served in the army are available to have a visit without any fees. ",
"All people who once were sentenced for thief stayed in prison for some time. ",
"All people who once stayed in prison for some time have a bad record in the local state. ",
"James was either once sentenced for thief or stayed in prison for some time. ",
"James is either with a bad record in the local state or respected by others. "
] | [
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (HaveVisitWithoutAnyFees(x) → Respected(x))",
"∀x (Army(x) → HaveVisitWithoutAnyFees(x))",
"∀x (Thief(x) → Prison(x))",
"∀x (Prison(x) → BadRecord(x))",
"Thief(james) ⊕ Prison(james) ",
"BadRecord(james) ⊕ Respected(james)"
] | Unknown |
James contributes to the country, and he once served in the army. | [
"All people who are respected by others are people who contribute to the country. ",
"If a person is respected by others, then he/she contributes to the country. ",
"All people available to have a visit without any fees are those respected by others. ",
"All Customers who once served in the army are available to have a visit without any fees. ",
"All people who once were sentenced for thief stayed in prison for some time. ",
"All people who once stayed in prison for some time have a bad record in the local state. ",
"James was either once sentenced for thief or stayed in prison for some time. ",
"James is either with a bad record in the local state or respected by others. "
] | [
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (HaveVisitWithoutAnyFees(x) → Respected(x))",
"∀x (Army(x) → HaveVisitWithoutAnyFees(x))",
"∀x (Thief(x) → Prison(x))",
"∀x (Prison(x) → BadRecord(x))",
"Thief(james) ⊕ Prison(james) ",
"BadRecord(james) ⊕ Respected(james)"
] | False |
James did not contribute to the country and did not serve in the army. | [
"All people who are respected by others are people who contribute to the country. ",
"If a person is respected by others, then he/she contributes to the country. ",
"All people available to have a visit without any fees are those respected by others. ",
"All Customers who once served in the army are available to have a visit without any fees. ",
"All people who once were sentenced for thief stayed in prison for some time. ",
"All people who once stayed in prison for some time have a bad record in the local state. ",
"James was either once sentenced for thief or stayed in prison for some time. ",
"James is either with a bad record in the local state or respected by others. "
] | [
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (Respected(x) → ContributeToCountry(x))",
"∀x (HaveVisitWithoutAnyFees(x) → Respected(x))",
"∀x (Army(x) → HaveVisitWithoutAnyFees(x))",
"∀x (Thief(x) → Prison(x))",
"∀x (Prison(x) → BadRecord(x))",
"Thief(james) ⊕ Prison(james) ",
"BadRecord(james) ⊕ Respected(james)"
] | True |
Water from the Croton River watershed flows to somewhere in New York. | [
"The Croton River watershed is the drainage basin of the Croton River.",
"The Croton River is in southwestern New York.",
"Water from the Croton River watershed flows to the Bronx.",
"The Bronx is in New York."
] | [
"DrainageBasinOf(crotonriverwatershed, crotonriver)",
"In(crotonriver, southwesternnewyork)",
"∃x (Water(x) ∧ From(x, crotonriverwatershed) ∧ FlowsTo(x, bronx))",
"In(bronx, newyork)"
] | True |
The Croton River watershed is in the Bronx. | [
"The Croton River watershed is the drainage basin of the Croton River.",
"The Croton River is in southwestern New York.",
"Water from the Croton River watershed flows to the Bronx.",
"The Bronx is in New York."
] | [
"DrainageBasinOf(crotonriverwatershed, crotonriver)",
"In(crotonriver, southwesternnewyork)",
"∃x (Water(x) ∧ From(x, crotonriverwatershed) ∧ FlowsTo(x, bronx))",
"In(bronx, newyork)"
] | Unknown |
Water from the Croton River flows to the Bronx. | [
"The Croton River watershed is the drainage basin of the Croton River.",
"The Croton River is in southwestern New York.",
"Water from the Croton River watershed flows to the Bronx.",
"The Bronx is in New York."
] | [
"DrainageBasinOf(crotonriverwatershed, crotonriver)",
"In(crotonriver, southwesternnewyork)",
"∃x (Water(x) ∧ From(x, crotonriverwatershed) ∧ FlowsTo(x, bronx))",
"In(bronx, newyork)"
] | Unknown |
Some warships are commercial vessels. | [
"All nuclear-powered submarines are warships.",
"No nuclear-powered submarines are commercial vessels."
] | [
"∀x (NuclearPoweredSubmarine(x) → Warship(x))",
"∀x (NuclearPoweredSubmarine(x) → ¬CommercialVessel(x))"
] | Unknown |
The genre of Trouble at the Henhouse is rock. | [
"If a album is written by a rock band, then the genre of the album is rock.",
"If a band writes a album winning an award, then this band wins this award.",
"Trouble at the Henhouse is an album by The Tragically Hip.",
"The Tragically Hip is a Canadian rock band.",
"The song \"Butts Wigglin'\" is in Trouble at the Henhouse.",
"Trouble at the Henhouse won the Album of the Year award.",
"A song in Trouble at the Henhouse appeared in a film."
] | [
"∀x ∀y ∀z (AlbumByBand(x, y) ∧ RockBand(y, z) → Genre(x, rock))",
"∀x ∀y ∀z (AlbumByBand(x, y) ∧ AlbumAward(x, z) → RockBandAward(y, z))",
"AlbumByBand(trouble_at_the_Henhouse, the_Tragically_Hip)",
"RockBand(the_Tragically_Hip, canada)",
"SongInAlbum(butts_Wigglin, trouble_at_the_Henhouse)",
"AlbumAward(trouble_at_the_Henhouse, the_Album_of_the_Year)",
"∃x (SongInFilm(x) ∧ SongInAlbum(x, trouble_at_the_Henhouse))"
] | True |
A canada rock band didn't win the Album of the Year award. | [
"If a album is written by a rock band, then the genre of the album is rock.",
"If a band writes a album winning an award, then this band wins this award.",
"Trouble at the Henhouse is an album by The Tragically Hip.",
"The Tragically Hip is a Canadian rock band.",
"The song \"Butts Wigglin'\" is in Trouble at the Henhouse.",
"Trouble at the Henhouse won the Album of the Year award.",
"A song in Trouble at the Henhouse appeared in a film."
] | [
"∀x ∀y ∀z (AlbumByBand(x, y) ∧ RockBand(y, z) → Genre(x, rock))",
"∀x ∀y ∀z (AlbumByBand(x, y) ∧ AlbumAward(x, z) → RockBandAward(y, z))",
"AlbumByBand(trouble_at_the_Henhouse, the_Tragically_Hip)",
"RockBand(the_Tragically_Hip, canada)",
"SongInAlbum(butts_Wigglin, trouble_at_the_Henhouse)",
"AlbumAward(trouble_at_the_Henhouse, the_Album_of_the_Year)",
"∃x (SongInFilm(x) ∧ SongInAlbum(x, trouble_at_the_Henhouse))"
] | False |
"Butts Wigglin'" appeared in a film. | [
"If a album is written by a rock band, then the genre of the album is rock.",
"If a band writes a album winning an award, then this band wins this award.",
"Trouble at the Henhouse is an album by The Tragically Hip.",
"The Tragically Hip is a Canadian rock band.",
"The song \"Butts Wigglin'\" is in Trouble at the Henhouse.",
"Trouble at the Henhouse won the Album of the Year award.",
"A song in Trouble at the Henhouse appeared in a film."
] | [
"∀x ∀y ∀z (AlbumByBand(x, y) ∧ RockBand(y, z) → Genre(x, rock))",
"∀x ∀y ∀z (AlbumByBand(x, y) ∧ AlbumAward(x, z) → RockBandAward(y, z))",
"AlbumByBand(trouble_at_the_Henhouse, the_Tragically_Hip)",
"RockBand(the_Tragically_Hip, canada)",
"SongInAlbum(butts_Wigglin, trouble_at_the_Henhouse)",
"AlbumAward(trouble_at_the_Henhouse, the_Album_of_the_Year)",
"∃x (SongInFilm(x) ∧ SongInAlbum(x, trouble_at_the_Henhouse))"
] | Unknown |
Daniel once applied to Stanford University, but he couldn’t get in even though he has family members who are Stanford alumni. | [
"Daniel is a software engineer and he works at Palantir Technologies.",
"Daniel studied bioengineering during his undergraduate at Rice University.",
"Daniel’s older sister works at Meta as a technical sourcer. ",
"Daniel’s dad and older sister both graduated from Stanford University.",
"Daniel’s dad is a doctor practicing internal medicine at a veteran’s hospital in Minneapolis"
] | [
"SoftwareEngineer(daniel) ∧ WorksAt(daniel, palantirTechnologies)",
" StudiedBioengineering(daniel, riceUniversity)",
" WorksAtMeta(danielsOlderSister) ∧ TechnicalSourcer(danielsOlderSister)",
" GraduatedFromStanfordUniversity(danielsOlderSister) ∧ GraduatedFromStanfordUniversity(danielsDad)",
" DoctorPracticingInternalMedicine(danielsDad, veteransHospitalInMinneapolis)"
] | Unknown |
Daniel studied bioengineering as his major at Rice University. | [
"Daniel is a software engineer and he works at Palantir Technologies.",
"Daniel studied bioengineering during his undergraduate at Rice University.",
"Daniel’s older sister works at Meta as a technical sourcer. ",
"Daniel’s dad and older sister both graduated from Stanford University.",
"Daniel’s dad is a doctor practicing internal medicine at a veteran’s hospital in Minneapolis"
] | [
"SoftwareEngineer(daniel) ∧ WorksAt(daniel, palantirTechnologies)",
" StudiedBioengineering(daniel, riceUniversity)",
" WorksAtMeta(danielsOlderSister) ∧ TechnicalSourcer(danielsOlderSister)",
" GraduatedFromStanfordUniversity(danielsOlderSister) ∧ GraduatedFromStanfordUniversity(danielsDad)",
" DoctorPracticingInternalMedicine(danielsDad, veteransHospitalInMinneapolis)"
] | True |
Daniel and his sister grew up in Minneapolis, Minnesota. | [
"Daniel is a software engineer and he works at Palantir Technologies.",
"Daniel studied bioengineering during his undergraduate at Rice University.",
"Daniel’s older sister works at Meta as a technical sourcer. ",
"Daniel’s dad and older sister both graduated from Stanford University.",
"Daniel’s dad is a doctor practicing internal medicine at a veteran’s hospital in Minneapolis"
] | [
"SoftwareEngineer(daniel) ∧ WorksAt(daniel, palantirTechnologies)",
" StudiedBioengineering(daniel, riceUniversity)",
" WorksAtMeta(danielsOlderSister) ∧ TechnicalSourcer(danielsOlderSister)",
" GraduatedFromStanfordUniversity(danielsOlderSister) ∧ GraduatedFromStanfordUniversity(danielsDad)",
" DoctorPracticingInternalMedicine(danielsDad, veteransHospitalInMinneapolis)"
] | Unknown |
An American Airlines plane is either a Boeing or Airbus plane. | [
"All commerical aircraft are produced by either Boeing or Airbus.",
"All American Airlines jets are commerical aircraft. ",
"Airbus made more in revenue than Boeing last year."
] | [
"∀x (CommercialAircraft(x) → ProducedBy(x, boeing) ⊕ ProducedBy(x, airbus))",
"∀x (AmericanAirlinesAircraft(x) → CommercialAircraft(x))",
"MoreinRevenue(airbus, boeing)"
] | True |
There exists a SpaceX commerical aircraft. | [
"All commerical aircraft are produced by either Boeing or Airbus.",
"All American Airlines jets are commerical aircraft. ",
"Airbus made more in revenue than Boeing last year."
] | [
"∀x (CommercialAircraft(x) → ProducedBy(x, boeing) ⊕ ProducedBy(x, airbus))",
"∀x (AmericanAirlinesAircraft(x) → CommercialAircraft(x))",
"MoreinRevenue(airbus, boeing)"
] | Unknown |
There does not exist a United Airlines plane produced by Boeing. | [
"All commerical aircraft are produced by either Boeing or Airbus.",
"All American Airlines jets are commerical aircraft. ",
"Airbus made more in revenue than Boeing last year."
] | [
"∀x (CommercialAircraft(x) → ProducedBy(x, boeing) ⊕ ProducedBy(x, airbus))",
"∀x (AmericanAirlinesAircraft(x) → CommercialAircraft(x))",
"MoreinRevenue(airbus, boeing)"
] | Unknown |
There is a commercial plane made by both Airbus and Boeing. | [
"All commerical aircraft are produced by either Boeing or Airbus.",
"All American Airlines jets are commerical aircraft. ",
"Airbus made more in revenue than Boeing last year."
] | [
"∀x (CommercialAircraft(x) → ProducedBy(x, boeing) ⊕ ProducedBy(x, airbus))",
"∀x (AmericanAirlinesAircraft(x) → CommercialAircraft(x))",
"MoreinRevenue(airbus, boeing)"
] | False |
Leyte is an island in the Philippines. | [
"Luzon is an island in the Philippines.",
"In December 1999, an earthquake struck Luzon.",
"People died in the December 1999 earthquake in Luzon."
] | [
"Island(luzon) ∧ In(luzon, philippines)",
"∃x (Earthquake(x) ∧ StruckIn(x, december1999) ∧ Struck(x, luzon))",
"∃x (Earthquake(x) ∧ StruckIn(x, december1999) ∧ Struck(x, luzon) ∧ Killed(x))"
] | Unknown |
No one has ever died of an earthquake that struck in the Philippines. | [
"Luzon is an island in the Philippines.",
"In December 1999, an earthquake struck Luzon.",
"People died in the December 1999 earthquake in Luzon."
] | [
"Island(luzon) ∧ In(luzon, philippines)",
"∃x (Earthquake(x) ∧ StruckIn(x, december1999) ∧ Struck(x, luzon))",
"∃x (Earthquake(x) ∧ StruckIn(x, december1999) ∧ Struck(x, luzon) ∧ Killed(x))"
] | False |
In 1999, there was at least one earthquake in the Philippines. | [
"Luzon is an island in the Philippines.",
"In December 1999, an earthquake struck Luzon.",
"People died in the December 1999 earthquake in Luzon."
] | [
"Island(luzon) ∧ In(luzon, philippines)",
"∃x (Earthquake(x) ∧ StruckIn(x, december1999) ∧ Struck(x, luzon))",
"∃x (Earthquake(x) ∧ StruckIn(x, december1999) ∧ Struck(x, luzon) ∧ Killed(x))"
] | True |
Matt reads the Wall Street Journal and other newspapers regularly to keep updated on financial metrics. | [
"People either invest in the public stock market regularly or enjoy gambling regularly.",
"If people invest in the public stock market regularly, then they read the Wall Street Journal and other newspapers regularly to keep updated on financial metrics.",
"All people who enjoy gambling regularly spend a lot of money at casinos and other betting games.",
"People who spend a lot of money at casinos and other betting games visit the Las Vegas Strip regularly.",
"People who spend a lot of money at casinos and other betting games have a lot of disposable income to spend.",
"If Matt invests in the public stock market regularly, then Matt neither has a lot of disposable income to spend nor invests in the public stock market regularly. "
] | [
"∀x (Invests(x) ∨ Gambling(x))",
"∀x (Invests(x) → Newspapers(x))",
"∀x (Gambling(x) → Casinos(x))",
"∀x (Casinos(x) → LasVegas(x))",
"∀x (Casinos(x) → DisposableIncome(x))",
"Invests(matt) → ¬DisposableIncome(matt) ∧ ¬Invests(matt)"
] | Unknown |
If Matt is either both a person who has a lot of disposable income to spend and invests in the public stock market regularly, or neither has a lot of disposable income to spend nor invests in the public stock market regularly, then Matt neither visits the Las Vegas Strip regularly nor reads the Wall Street Journal and other newspapers regularly to keep updated on the financial metrics. | [
"People either invest in the public stock market regularly or enjoy gambling regularly.",
"If people invest in the public stock market regularly, then they read the Wall Street Journal and other newspapers regularly to keep updated on financial metrics.",
"All people who enjoy gambling regularly spend a lot of money at casinos and other betting games.",
"People who spend a lot of money at casinos and other betting games visit the Las Vegas Strip regularly.",
"People who spend a lot of money at casinos and other betting games have a lot of disposable income to spend.",
"If Matt invests in the public stock market regularly, then Matt neither has a lot of disposable income to spend nor invests in the public stock market regularly. "
] | [
"∀x (Invests(x) ∨ Gambling(x))",
"∀x (Invests(x) → Newspapers(x))",
"∀x (Gambling(x) → Casinos(x))",
"∀x (Casinos(x) → LasVegas(x))",
"∀x (Casinos(x) → DisposableIncome(x))",
"Invests(matt) → ¬DisposableIncome(matt) ∧ ¬Invests(matt)"
] | True |
If Matt is either a person who has a lot of disposable income to spend or reads the Wall Street Journal and other newspapers regularly, then Matt neither has a lot of disposable income to spend nor visits the Las Vegas Strip Regularly. | [
"People either invest in the public stock market regularly or enjoy gambling regularly.",
"If people invest in the public stock market regularly, then they read the Wall Street Journal and other newspapers regularly to keep updated on financial metrics.",
"All people who enjoy gambling regularly spend a lot of money at casinos and other betting games.",
"People who spend a lot of money at casinos and other betting games visit the Las Vegas Strip regularly.",
"People who spend a lot of money at casinos and other betting games have a lot of disposable income to spend.",
"If Matt invests in the public stock market regularly, then Matt neither has a lot of disposable income to spend nor invests in the public stock market regularly. "
] | [
"∀x (Invests(x) ∨ Gambling(x))",
"∀x (Invests(x) → Newspapers(x))",
"∀x (Gambling(x) → Casinos(x))",
"∀x (Casinos(x) → LasVegas(x))",
"∀x (Casinos(x) → DisposableIncome(x))",
"Invests(matt) → ¬DisposableIncome(matt) ∧ ¬Invests(matt)"
] | False |
John can get the rhythms right. | [
"All students learning piano can strike the right notes. ",
"All students who can strike the right note can get the rhythms right. ",
"If a student can get the rhythms right, he will start working on coordination between the left and the right hands. ",
"Some students who start working on coordination between the left and the right hands become good at it. The other students find it challenging. ",
"If John can strike the right notes, get the rhythms right and is good at coordination between right and left hands, then he puts emotions into his playing. ",
"John is a student learning piano. ",
"John does not find coordination between the left and the right hands challenging. "
] | [
"∀x (Student(x) ∧ LearningPiano(x) → StrikeRightNotes(x))",
"∀x (Student(x) ∧ StrikeRightNotes(x) → GetRhythmRight(x))",
"∀x (Student(x) ∧ GetRhythmRight(x) → StartCoordination(x))",
"∀x (Student(x) ∧ StartCoordination(x) → GoodAtCoordination(x) ⊕ FindCoordinationChallenging(x))",
"StrikeRightNotes(john) ∧ GetRhythmRight(john) ∧ GoodAtCoordination(john) → PutEmotion(john)",
"Student(john) ∧ LearningPiano(john)",
"¬FindCoordinationChallenging(john)"
] | True |