premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is both not strong and not rich then john is not quiet. If alice is not calm or not humble then susan is either brave or humble and vice versa. Everyone who is not quiet or generous is kind or not kind. Everyone who is not happy is not wise and vice versa. If mary is not tall then someone is either strong or cu... | Susan is quiet. | neutral | (((~strong(mary)&~rich(mary)))=>(~quiet(john)))&
(((~calm(alice)|~humble(alice)))<=>((brave(susan)<~>humble(susan))))&
(![X]:((~quiet(X)|generous(X))=>(kind(X)|~kind(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
((~tall(mary))=>(?[X]:((strong(X)<~>curious(X)))))&
(![X]:((brave(X)<~>strong(X))=>kind(X)))&
(![X]:((~wise(X)&~old(... | quiet(susan) | [] | null | 0 |
If alice is both not kind and not curious then john is either quiet or wise.
Everyone who is wise is patient.
If fred is both generous and not happy then someone is not humble or humble and vice versa.
If someone is not generous then someone is both not tall and not brave and vice versa.
If susan is wise then alice is ... | Fred is not tall. | contradiction | (((~kind(alice)&~curious(alice)))=>((quiet(john)<~>wise(john))))&
(![X]:(wise(X)=>patient(X)))&
(((generous(fred)&~happy(fred)))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~tall(X)&~brave(X)))))&
((wise(susan))<=>((patient(alice)|~calm(alice))))&
(![X]:((~happy(X)&~tall(X))=>(strong(X)&~genero... | ~tall(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 272010725339400685293025
% SZS output start Proof for 272010725339400685293025
3. (~happy(fred) & generous(fred)) <=> ? [X0] : (humble(X0) | ~humble(X0)) [input p2]
6. ! [X0] : ((~tall(X0) & ~happy(X0)) => (~generous(X0) & strong(X0))) [input p5]
23. ~tall(fred) [input hypothesis]
26. ! [... | 0 |
Everyone who is either not calm or not quiet is not brave and vice versa.
If lucy is both not wise and wise then paul is both quiet and not rich and vice versa.
Everyone who is both not funny and not kind is both not creative and happy.
If susan is patient or generous then someone is kind and vice versa.
If fred is ric... | Fred is calm. | entailment | (![X]:((~calm(X)<~>~quiet(X))<=>~brave(X)))&
(((~wise(lucy)&wise(lucy)))<=>((quiet(paul)&~rich(paul))))&
(![X]:((~funny(X)&~kind(X))=>(~creative(X)&happy(X))))&
(((patient(susan)|generous(susan)))<=>(?[X]:(kind(X))))&
(((rich(fred)|kind(fred)))=>((~humble(mary)|calm(mary))))&
((?[X]:(kind(X)))<=>(?[X]:(quiet(X))))&
((?... | calm(fred) | [
"p0",
"p5",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8712072834075147116410833
% SZS output start Proof for 8712072834075147116410833
1. ! [X0] : ((~calm(X0) <~> ~quiet(X0)) <=> ~brave(X0)) [input p0]
6. ? [X0] : kind(X0) <=> ? [X0] : quiet(X0) [input p5]
8. ! [X0] : (kind(X0) => ~kind(X0)) [input p7]
9. ? [X0] : (~curious(X0) <~> quiet(X0)... | 0 |
If mary is either patient or strong then someone is old or not wise and vice versa.
Everyone who is kind or not generous is humble or kind and vice versa.
If mary is not creative or not funny then paul is either not curious or not patient.
Everyone who is not humble is either patient or wise.
Everyone who is either hum... | John is funny. | contradiction | (((patient(mary)<~>strong(mary)))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((kind(X)|~generous(X))<=>(humble(X)|kind(X))))&
(((~creative(mary)|~funny(mary)))=>((~curious(paul)<~>~patient(paul))))&
(![X]:(~humble(X)=>(patient(X)<~>wise(X))))&
(![X]:((humble(X)<~>generous(X))<=>(rich(X)&~rich(X))))&
((?[X]:((~quiet(X)&~creat... | funny(john) | [
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8185166305377062239832200
% SZS output start Proof for 8185166305377062239832200
9. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (calm(X0) | generous(X0))) [input p8]
11. ! [X0] : ((happy(X0) | funny(X0)) <=> (calm(X0) & ~wise(X0))) [input p10]
14. ! [X0] : ((wise(X0) <~> calm(X0)) => (~kind... | 0 |
If someone is brave or not generous then mary is quiet. Everyone who is old or not funny is not brave. If someone is not kind then lucy is not rich or not strong and vice versa. Everyone who is brave is not wise or brave. Everyone who is both not patient and happy is not tall. Everyone who is both kind and not patient ... | Paul is happy. | neutral | ((?[X]:((brave(X)|~generous(X))))=>(quiet(mary)))&
(![X]:((old(X)|~funny(X))=>~brave(X)))&
((?[X]:(~kind(X)))<=>((~rich(lucy)|~strong(lucy))))&
(![X]:(brave(X)=>(~wise(X)|brave(X))))&
(![X]:((~patient(X)&happy(X))=>~tall(X)))&
(![X]:((kind(X)&~patient(X))=>(~funny(X)|generous(X))))&
((?[X]:(happy(X)))<=>(?[X]:((curious... | happy(paul) | [] | null | 0 |
Everyone who is not kind or not calm is quiet and vice versa.
Everyone who is not humble or not funny is creative or kind and vice versa.
If john is tall then fred is not wise or not humble.
If someone is either not patient or not brave then someone is strong.
Everyone who is either wise or not wise is curious or stron... | Fred is not strong. | neutral | (![X]:((~kind(X)|~calm(X))<=>quiet(X)))&
(![X]:((~humble(X)|~funny(X))<=>(creative(X)|kind(X))))&
((tall(john))=>((~wise(fred)|~humble(fred))))&
((?[X]:((~patient(X)<~>~brave(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(... | ~strong(fred) | [] | null | 0 |
Everyone who is either not curious or patient is not old or rich and vice versa. If someone is generous then someone is both old and not strong. If someone is not quiet then lucy is either not old or not brave and vice versa. Everyone who is curious is not strong and vice versa. If mary is both curious and not calm the... | Mary is not patient. | contradiction | (![X]:((~curious(X)<~>patient(X))<=>(~old(X)|rich(X))))&
((?[X]:(generous(X)))=>(?[X]:((old(X)&~strong(X)))))&
((?[X]:(~quiet(X)))<=>((~old(lucy)<~>~brave(lucy))))&
(![X]:(curious(X)<=>~strong(X)))&
(((curious(mary)&~calm(mary)))<=>(?[X]:(~tall(X))))&
(![X]:((rich(X)&~funny(X))<=>(tall(X)<~>~brave(X))))&
(![X]:((~old(X... | ~patient(mary) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7995779533980501570238201
% SZS output start Proof for 7995779533980501570238201
1. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> (rich(X0) | ~old(X0))) [input p0]
2. ? [X0] : generous(X0) => ? [X0] : (~strong(X0) & old(X0)) [input p1]
4. ! [X0] : (curious(X0) <=> ~strong(X0)) [input p3]
5... | 0 |
If someone is both happy and not quiet then someone is not happy or not tall.
Everyone who is either not patient or not kind is patient and vice versa.
If paul is not strong then someone is either wise or not happy.
Everyone who is both tall and not happy is generous or kind and vice versa.
Everyone who is either rich ... | Paul is not curious. | entailment | ((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~patient(X)<~>~kind(X))<=>patient(X)))&
((~strong(paul))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((tall(X)&~happy(X))<=>(generous(X)|kind(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~happy(X)&~old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((old(X)|~calm(X)))))&
(... | ~curious(paul) | [
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 319602209965621969107755
% SZS output start Proof for 319602209965621969107755
5. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~old(X0) & ~happy(X0))) [input p4]
8. (tall(alice) & happy(alice)) <=> (~calm(paul) & curious(paul)) [input p7]
15. ! [X0] : ((calm(X0) | generous(X0)) => (~wise(X0) & ... | 0 |
Everyone who is both not tall and old is not humble.
If lucy is both kind and happy then susan is either not kind or quiet and vice versa.
Everyone who is not tall or not quiet is funny or rich and vice versa.
Everyone who is not creative is old or tall and vice versa.
If mary is either wise or not patient then john is... | Paul is patient. | neutral | (![X]:((~tall(X)&old(X))=>~humble(X)))&
(((kind(lucy)&happy(lucy)))<=>((~kind(susan)<~>quiet(susan))))&
(![X]:((~tall(X)|~quiet(X))<=>(funny(X)|rich(X))))&
(![X]:(~creative(X)<=>(old(X)|tall(X))))&
(((wise(mary)<~>~patient(mary)))<=>((old(john)<~>~old(john))))&
(![X]:((~funny(X)|~wise(X))<=>(curious(X)|~wise(X))))&
(((... | patient(paul) | [] | null | 0 |
If someone is either not brave or calm then someone is funny or strong and vice versa.
Everyone who is not kind is not happy and vice versa.
Everyone who is either not wise or not old is happy or kind.
Everyone who is creative is both not creative and not happy.
Everyone who is humble or not wise is not curious or stro... | Paul is old. | neutral | ((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X))))&
(![X]:(creative(X)=>(~creative(X)&~happy(X))))&
(![X]:((humble(X)|~wise(X))<=>(~curious(X)|strong(X))))&
(![X]:((~kind(X)|~tall(X))<=>(~creative(X)<~>~happy(X))))&
(![X]:(~... | old(paul) | [] | null | 0 |
If someone is both not wise and kind then fred is not kind and vice versa.
If someone is not happy then paul is either generous or creative.
If fred is either not old or not generous then lucy is either not calm or tall.
If someone is both old and patient then susan is tall or rich.
Everyone who is brave is tall and vi... | Susan is rich. | contradiction | ((?[X]:((~wise(X)&kind(X))))<=>(~kind(fred)))&
((?[X]:(~happy(X)))=>((generous(paul)<~>creative(paul))))&
(((~old(fred)<~>~generous(fred)))=>((~calm(lucy)<~>tall(lucy))))&
((?[X]:((old(X)&patient(X))))=>((tall(susan)|rich(susan))))&
(![X]:(brave(X)<=>tall(X)))&
(![X]:(old(X)<=>(tall(X)&~old(X))))&
(((~calm(alice)<~>wis... | rich(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6390343003197925357378321
% SZS output start Proof for 6390343003197925357378321
21. ~rich(susan) & ~happy(susan) [input p20]
24. rich(susan) [input hypothesis]
117. ~rich(susan) [cnf transformation 21]
120. rich(susan) [cnf transformation 24]
182. 14 <=> rich(susan) [avatar definition]
2... | 0 |
If mary is either not strong or not tall then susan is either not calm or not wise. Everyone who is either not rich or not wise is not quiet and vice versa. If mary is either not curious or happy then mary is both brave and humble and vice versa. Everyone who is not old is not patient or not curious. Everyone who is ei... | Lucy is not patient. | contradiction | (((~strong(mary)<~>~tall(mary)))=>((~calm(susan)<~>~wise(susan))))&
(![X]:((~rich(X)<~>~wise(X))<=>~quiet(X)))&
(((~curious(mary)<~>happy(mary)))<=>((brave(mary)&humble(mary))))&
(![X]:(~old(X)=>(~patient(X)|~curious(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~rich(X)|brave(X))))&
((?[X]:((calm(X)<~>~funny(X))))<=>((~cal... | ~patient(lucy) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 914573387932153086537484
% SZS output start Proof for 914573387932153086537484
13. ! [X0] : ((~brave(X0) | patient(X0)) <=> (~curious(X0) <~> ~brave(X0))) [input p12]
20. ~curious(lucy) & happy(lucy) [input p19]
25. ~patient(lucy) [input hypothesis]
56. ! [X0] : (((~brave(X0) | patient(X0... | 0 |
Everyone who is both strong and not creative is both not funny and not happy and vice versa.
Everyone who is rich or wise is not calm.
If susan is brave then someone is both not quiet and curious and vice versa.
Everyone who is either brave or kind is not tall.
If mary is not calm or patient then someone is both not br... | Fred is patient. | contradiction | (![X]:((strong(X)&~creative(X))<=>(~funny(X)&~happy(X))))&
(![X]:((rich(X)|wise(X))=>~calm(X)))&
((brave(susan))<=>(?[X]:((~quiet(X)&curious(X)))))&
(![X]:((brave(X)<~>kind(X))=>~tall(X)))&
(((~calm(mary)|patient(mary)))=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:(~curious(X)<=>(~generous(X)|~old(X))))&
(((~happy(mary)&~... | patient(fred) | [
"p0",
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8530253922042691547836977
% SZS output start Proof for 8530253922042691547836977
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~happy(X0) & ~funny(X0))) [input p0]
8. ! [X0] : ((~wise(X0) | ~curious(X0)) => (~patient(X0) & curious(X0))) [input p7]
10. ! [X0] : ((wise(X0) & happy(X0)) <=>... | 0 |
If someone is either not calm or not generous then john is funny. If mary is not old or not strong then mary is not creative. If alice is not generous or wise then alice is strong. If someone is not curious then susan is either not generous or not kind. If someone is not creative then fred is either curious or not old ... | Susan is old. | entailment | ((?[X]:((~calm(X)<~>~generous(X))))=>(funny(john)))&
(((~old(mary)|~strong(mary)))=>(~creative(mary)))&
(((~generous(alice)|wise(alice)))=>(strong(alice)))&
((?[X]:(~curious(X)))=>((~generous(susan)<~>~kind(susan))))&
((?[X]:(~creative(X)))<=>((curious(fred)<~>~old(fred))))&
((old(mary))<=>(?[X]:(~funny(X))))&
((?[X]:(... | old(susan) | [
"p4",
"p8",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5306053649979288503668963
% SZS output start Proof for 5306053649979288503668963
5. ? [X0] : ~creative(X0) <=> (curious(fred) <~> ~old(fred)) [input p4]
9. ! [X0] : ((~brave(X0) | patient(X0)) => (old(X0) | ~creative(X0))) [input p8]
15. ! [X0] : (~old(X0) <=> (generous(X0) | ~creative(X0... | 0 |
If someone is strong or not quiet then someone is not funny or tall and vice versa.
If someone is either not old or not creative then mary is either not happy or not quiet.
If susan is both not happy and funny then john is patient and vice versa.
If someone is not curious then someone is not wise.
Everyone who is eithe... | Mary is not patient. | neutral | ((?[X]:((strong(X)|~quiet(X))))<=>(?[X]:((~funny(X)|tall(X)))))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((?[X]:(~curious(X)))=>(?[X]:(~wise(X))))&
(![X]:((strong(X)<~>~calm(X))=>(rich(X)<~>~wise(X))))&
(![X]:((humble(X)|rich(X))<=>(wise(... | ~patient(mary) | [] | null | 0 |
Everyone who is both not creative and not humble is not generous. Everyone who is not curious or old is both strong and patient. If john is both wise and not tall then someone is not humble and vice versa. Everyone who is both old and wise is either not kind or calm and vice versa. Everyone who is both not strong and g... | Alice is not strong. | contradiction | (![X]:((~creative(X)&~humble(X))=>~generous(X)))&
(![X]:((~curious(X)|old(X))=>(strong(X)&patient(X))))&
(((wise(john)&~tall(john)))<=>(?[X]:(~humble(X))))&
(![X]:((old(X)&wise(X))<=>(~kind(X)<~>calm(X))))&
(![X]:((~strong(X)&generous(X))=>(~curious(X)<~>brave(X))))&
(![X]:((strong(X)<~>humble(X))<=>(~tall(X)<~>kind(X)... | ~strong(alice) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 499733019432487748777772
% SZS output start Proof for 499733019432487748777772
2. ! [X0] : ((old(X0) | ~curious(X0)) => (patient(X0) & strong(X0))) [input p1]
13. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> ~curious(X0)) [input p12]
24. ~strong(alice) [input hypothesis]
28. ! [X0] : ((patient... | 0 |
If paul is both strong and quiet then someone is either tall or not curious.
Everyone who is both generous and curious is both curious and happy and vice versa.
If fred is either curious or happy then someone is either quiet or not curious and vice versa.
If someone is either quiet or creative then someone is either ki... | John is not wise. | entailment | (((strong(paul)&quiet(paul)))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:((generous(X)&curious(X))<=>(curious(X)&happy(X))))&
(((curious(fred)<~>happy(fred)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((~rich(X)|rich(X))=>(funny(X)<~>~wise(X))))&
((... | ~wise(john) | [
"p1",
"p4",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4633153765486021407851701
% SZS output start Proof for 4633153765486021407851701
2. ! [X0] : ((curious(X0) & generous(X0)) <=> (happy(X0) & curious(X0))) [input p1]
5. ! [X0] : ((rich(X0) | ~rich(X0)) => (funny(X0) <~> ~wise(X0))) [input p4]
11. ! [X0] : (funny(X0) <=> ~happy(X0)) [input ... | 0 |
Everyone who is either not happy or not wise is creative. If john is creative then someone is not wise or not curious and vice versa. Everyone who is not humble or not calm is generous or patient. Everyone who is not creative or not patient is both humble and not old and vice versa. If someone is either not quiet or st... | John is not humble. | entailment | (![X]:((~happy(X)<~>~wise(X))=>creative(X)))&
((creative(john))<=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:((~humble(X)|~calm(X))=>(generous(X)|patient(X))))&
(![X]:((~creative(X)|~patient(X))<=>(humble(X)&~old(X))))&
((?[X]:((~quiet(X)<~>strong(X))))=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((patient(X)|~patient(... | ~humble(john) | [
"p3",
"p6",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2209791067161700667274920
% SZS output start Proof for 2209791067161700667274920
4. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (~old(X0) & humble(X0))) [input p3]
7. ! [X0] : ((~wise(X0) & tall(X0)) <=> (humble(X0) | calm(X0))) [input p6]
13. ! [X0] : ((humble(X0) <~> old(X0)) => ~curio... | 0 |
Everyone who is not happy is both humble and generous and vice versa. If susan is either patient or not generous then someone is curious or not kind. If lucy is both not wise and not brave then alice is either not patient or not kind and vice versa. Everyone who is tall or not funny is patient and vice versa. Everyone ... | Lucy is not rich. | entailment | (![X]:(~happy(X)<=>(humble(X)&generous(X))))&
(((patient(susan)<~>~generous(susan)))=>(?[X]:((curious(X)|~kind(X)))))&
(((~wise(lucy)&~brave(lucy)))<=>((~patient(alice)<~>~kind(alice))))&
(![X]:((tall(X)|~funny(X))<=>patient(X)))&
(![X]:((happy(X)|humble(X))=>(brave(X)&~rich(X))))&
((brave(paul))<=>((happy(susan)&~quie... | ~rich(lucy) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 509492760269060382974427
% SZS output start Proof for 509492760269060382974427
1. ! [X0] : (~happy(X0) <=> (generous(X0) & humble(X0))) [input p0]
5. ! [X0] : ((humble(X0) | happy(X0)) => (~rich(X0) & brave(X0))) [input p4]
22. rich(lucy) [input hypothesis]
27. ! [X0] : ((~rich(X0) & brav... | 0 |
Everyone who is either kind or not kind is either kind or patient and vice versa.
Everyone who is either not quiet or happy is wise.
Everyone who is not quiet or kind is curious and vice versa.
Everyone who is generous or brave is both happy and brave.
Everyone who is either not quiet or not rich is either creative or ... | Fred is kind. | contradiction | (![X]:((kind(X)<~>~kind(X))<=>(kind(X)<~>patient(X))))&
(![X]:((~quiet(X)<~>happy(X))=>wise(X)))&
(![X]:((~quiet(X)|kind(X))<=>curious(X)))&
(![X]:((generous(X)|brave(X))=>(happy(X)&brave(X))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(creative(X)<~>generous(X))))&
((?[X]:((~humble(X)&~tall(X))))=>((happy(john)<~>~generous(joh... | kind(fred) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8448230908026567641322096
% SZS output start Proof for 8448230908026567641322096
1. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> (kind(X0) <~> patient(X0))) [input p0]
4. ! [X0] : ((brave(X0) | generous(X0)) => (brave(X0) & happy(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) <~> ~rich(X0)) <=> (cre... | 0 |
Everyone who is both not kind and generous is both not generous and not strong.
Everyone who is both happy and not patient is both not funny and tall and vice versa.
Everyone who is generous is humble.
If someone is either not wise or not old then alice is brave.
If someone is either not strong or humble then someone i... | John is not humble. | contradiction | (![X]:((~kind(X)&generous(X))=>(~generous(X)&~strong(X))))&
(![X]:((happy(X)&~patient(X))<=>(~funny(X)&tall(X))))&
(![X]:(generous(X)=>humble(X)))&
((?[X]:((~wise(X)<~>~old(X))))=>(brave(alice)))&
((?[X]:((~strong(X)<~>humble(X))))=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((~tall(X)<~>brave(X))=>~curious(X)))&
(![X]:((... | ~humble(john) | [
"p4",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8392648268635951376243499
% SZS output start Proof for 8392648268635951376243499
5. ? [X0] : (~strong(X0) <~> humble(X0)) => ? [X0] : (tall(X0) & ~creative(X0)) [input p4]
10. ! [X0] : (~old(X0) => (happy(X0) & old(X0))) [input p9]
11. ? [X0] : generous(X0) <=> (~old(john) | ~strong(john)... | 0 |
Everyone who is either humble or not curious is both generous and not strong and vice versa. If someone is not tall or patient then fred is either funny or happy. Everyone who is kind or not humble is happy or not humble. Everyone who is not wise is creative or not brave. Everyone who is strong is calm or old. Everyone... | Lucy is not kind. | neutral | (![X]:((humble(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
((?[X]:((~tall(X)|patient(X))))=>((funny(fred)<~>happy(fred))))&
(![X]:((kind(X)|~humble(X))=>(happy(X)|~humble(X))))&
(![X]:(~wise(X)=>(creative(X)|~brave(X))))&
(![X]:(strong(X)=>(calm(X)|old(X))))&
(![X]:(~funny(X)=>(~brave(X)&~patient(X))))&
(![X]:((~st... | ~kind(lucy) | [] | null | 0 |
If john is not wise or happy then lucy is either not humble or not wise and vice versa.
Everyone who is not rich is funny or tall and vice versa.
If susan is creative then alice is kind and vice versa.
If alice is curious then john is either humble or not funny and vice versa.
If someone is either brave or not humble t... | Lucy is not rich. | entailment | (((~wise(john)|happy(john)))<=>((~humble(lucy)<~>~wise(lucy))))&
(![X]:(~rich(X)<=>(funny(X)|tall(X))))&
((creative(susan))<=>(kind(alice)))&
((curious(alice))<=>((humble(john)<~>~funny(john))))&
((?[X]:((brave(X)<~>~humble(X))))=>((quiet(paul)<~>creative(paul))))&
((?[X]:((generous(X)<~>~patient(X))))<=>((~old(alice)<... | ~rich(lucy) | [
"p1",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8683952877358009274474573
% SZS output start Proof for 8683952877358009274474573
2. ! [X0] : (~rich(X0) <=> (tall(X0) | funny(X0))) [input p1]
8. ! [X0] : (~creative(X0) => (humble(X0) <~> ~creative(X0))) [input p7]
12. ! [X0] : (~funny(X0) => (humble(X0) & ~wise(X0))) [input p11]
16. ! [... | 0 |
Everyone who is both not tall and old is either quiet or old. Everyone who is not calm is generous. Everyone who is not tall is not calm or strong and vice versa. If someone is either kind or happy then someone is funny or not happy and vice versa. If paul is old or funny then someone is wise and vice versa. If someone... | Paul is old. | neutral | (![X]:((~tall(X)&old(X))=>(quiet(X)<~>old(X))))&
(![X]:(~calm(X)=>generous(X)))&
(![X]:(~tall(X)<=>(~calm(X)|strong(X))))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:((funny(X)|~happy(X)))))&
(((old(paul)|funny(paul)))<=>(?[X]:(wise(X))))&
((?[X]:((~old(X)|~happy(X))))<=>(?[X]:((~creative(X)&~generous(X)))))&
((?[X]:(tall(... | old(paul) | [] | null | 0 |
Everyone who is either not tall or not humble is patient or not humble.
If lucy is funny then paul is either wise or not kind and vice versa.
If someone is both creative and not generous then someone is both brave and funny and vice versa.
If paul is both funny and not calm then someone is not patient.
Everyone who is ... | Fred is not wise. | contradiction | (![X]:((~tall(X)<~>~humble(X))=>(patient(X)|~humble(X))))&
((funny(lucy))<=>((wise(paul)<~>~kind(paul))))&
((?[X]:((creative(X)&~generous(X))))<=>(?[X]:((brave(X)&funny(X)))))&
(((funny(paul)&~calm(paul)))=>(?[X]:(~patient(X))))&
(![X]:(calm(X)=>(~curious(X)&creative(X))))&
(((calm(alice)&~strong(alice)))=>(?[X]:((~qui... | ~wise(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 120663115623004141225943
% SZS output start Proof for 120663115623004141225943
7. ! [X0] : ((strong(X0) | ~strong(X0)) => (~patient(X0) & wise(X0))) [input p6]
24. ~wise(fred) [input hypothesis]
33. ! [X0] : ((~patient(X0) & wise(X0)) | (~strong(X0) & strong(X0))) [ennf transformation 7]
... | 0 |
If mary is humble then someone is either strong or creative and vice versa. If alice is both creative and not patient then alice is not humble or not strong. If someone is creative or not funny then paul is not funny or not creative and vice versa. Everyone who is either funny or not brave is not rich and vice versa. E... | Susan is creative. | entailment | ((humble(mary))<=>(?[X]:((strong(X)<~>creative(X)))))&
(((creative(alice)&~patient(alice)))=>((~humble(alice)|~strong(alice))))&
((?[X]:((creative(X)|~funny(X))))<=>((~funny(paul)|~creative(paul))))&
(![X]:((funny(X)<~>~brave(X))<=>~rich(X)))&
(![X]:((~creative(X)|tall(X))<=>~quiet(X)))&
(![X]:((~funny(X)|curious(X))<=... | creative(susan) | [
"p3",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4578412940890387545790399
% SZS output start Proof for 4578412940890387545790399
4. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> ~rich(X0)) [input p3]
8. ! [X0] : ((~happy(X0) <~> rich(X0)) => (curious(X0) & ~curious(X0))) [input p7]
9. ! [X0] : ((~rich(X0) <~> tall(X0)) <=> (~happy(X0) | fun... | 0 |
Everyone who is not old is both not wise and funny.
Everyone who is patient or calm is not creative or creative and vice versa.
If lucy is both not kind and not curious then someone is either not creative or not funny and vice versa.
If someone is not quiet then fred is strong or curious and vice versa.
If someone is e... | Mary is brave. | contradiction | (![X]:(~old(X)=>(~wise(X)&funny(X))))&
(![X]:((patient(X)|calm(X))<=>(~creative(X)|creative(X))))&
(((~kind(lucy)&~curious(lucy)))<=>(?[X]:((~creative(X)<~>~funny(X)))))&
((?[X]:(~quiet(X)))<=>((strong(fred)|curious(fred))))&
((?[X]:((kind(X)<~>quiet(X))))=>((~creative(alice)&tall(alice))))&
((?[X]:(~generous(X)))<=>((... | brave(mary) | [
"p8",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4490327351700225547459242
% SZS output start Proof for 4490327351700225547459242
9. ! [X0] : ((~humble(X0) | creative(X0)) <=> ~strong(X0)) [input p8]
12. ? [X0] : (~creative(X0) & patient(X0)) => ~brave(mary) [input p11]
15. ! [X0] : ((~patient(X0) <~> ~humble(X0)) => (creative(X0) & ~fu... | 0 |
Everyone who is both not strong and not funny is kind.
If someone is either not patient or not rich then someone is not brave or not quiet and vice versa.
If fred is not strong then john is both not creative and not generous and vice versa.
Everyone who is creative or not generous is not rich or not calm and vice versa... | John is not creative. | entailment | (![X]:((~strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~patient(X)<~>~rich(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((~strong(fred))<=>((~creative(john)&~generous(john))))&
(![X]:((creative(X)|~generous(X))<=>(~rich(X)|~calm(X))))&
((?[X]:((~old(X)<~>~rich(X))))<=>((creative(mary)&~generous(mary))))&
(((~calm(john)&wise(jo... | ~creative(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6135697513662389712300926
% SZS output start Proof for 6135697513662389712300926
16. ! [X0] : ((~generous(X0) & generous(X0)) <=> (creative(X0) | tall(X0))) [input p15]
24. creative(john) [input hypothesis]
71. ! [X0] : (((~generous(X0) & generous(X0)) | (~creative(X0) & ~tall(X0))) & ((c... | 0 |
If fred is both not wise and brave then someone is both tall and not humble. If someone is either wise or calm then someone is humble. If lucy is brave or tall then someone is both wise and not rich. If paul is either patient or not calm then john is not wise and vice versa. If john is not wise then someone is either f... | Mary is not patient. | contradiction | (((~wise(fred)&brave(fred)))=>(?[X]:((tall(X)&~humble(X)))))&
((?[X]:((wise(X)<~>calm(X))))=>(?[X]:(humble(X))))&
(((brave(lucy)|tall(lucy)))=>(?[X]:((wise(X)&~rich(X)))))&
(((patient(paul)<~>~calm(paul)))<=>(~wise(john)))&
((~wise(john))=>(?[X]:((funny(X)<~>~quiet(X)))))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:((~happ... | ~patient(mary) | [
"p11",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 769628066362289512897820
% SZS output start Proof for 769628066362289512897820
12. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> (curious(X0) <~> calm(X0))) [input p11]
21. curious(mary) & wise(mary) [input p20]
24. calm(mary) [input p23]
25. ~patient(mary) [input hypothesis]
64. ! [X0] : (((... | 0 |
If mary is either curious or calm then someone is both not curious and not brave and vice versa.
If alice is humble or not humble then someone is not happy or not old.
Everyone who is not funny or curious is not strong and vice versa.
Everyone who is not funny is both not tall and not patient.
Everyone who is both not ... | Lucy is not patient. | neutral | (((curious(mary)<~>calm(mary)))<=>(?[X]:((~curious(X)&~brave(X)))))&
(((humble(alice)|~humble(alice)))=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((~funny(X)|curious(X))<=>~strong(X)))&
(![X]:(~funny(X)=>(~tall(X)&~patient(X))))&
(![X]:((~tall(X)&generous(X))<=>(~humble(X)|brave(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((o... | ~patient(lucy) | [] | null | 0 |
Everyone who is patient or happy is both not creative and quiet and vice versa. If someone is not calm then someone is not wise or brave. Everyone who is kind is either not patient or tall and vice versa. Everyone who is both patient and not creative is not creative or brave. Everyone who is not quiet or rich is both h... | Alice is curious. | contradiction | (![X]:((patient(X)|happy(X))<=>(~creative(X)&quiet(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:(kind(X)<=>(~patient(X)<~>tall(X))))&
(![X]:((patient(X)&~creative(X))=>(~creative(X)|brave(X))))&
(![X]:((~quiet(X)|rich(X))=>(happy(X)&kind(X))))&
(((~tall(fred)&tall(fred)))=>(?[X]:((~happy(X)&generous(... | curious(alice) | [
"p0",
"p4",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7542958373407012280781051
% SZS output start Proof for 7542958373407012280781051
1. ! [X0] : ((happy(X0) | patient(X0)) <=> (quiet(X0) & ~creative(X0))) [input p0]
5. ! [X0] : ((rich(X0) | ~quiet(X0)) => (kind(X0) & happy(X0))) [input p4]
7. ! [X0] : (~brave(X0) => (~happy(X0) & ~patient(... | 0 |
If someone is both brave and not quiet then john is either not quiet or not brave and vice versa.
If fred is either strong or happy then someone is both not patient and patient.
If fred is patient or tall then lucy is calm or wise.
If lucy is funny then lucy is both not creative and not old.
If mary is funny then fred ... | Paul is old. | contradiction | ((?[X]:((brave(X)&~quiet(X))))<=>((~quiet(john)<~>~brave(john))))&
(((strong(fred)<~>happy(fred)))=>(?[X]:((~patient(X)&patient(X)))))&
(((patient(fred)|tall(fred)))=>((calm(lucy)|wise(lucy))))&
((funny(lucy))=>((~creative(lucy)&~old(lucy))))&
((funny(mary))<=>((old(fred)<~>~funny(fred))))&
(![X]:(~generous(X)=>strong(... | old(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4646600459309027486241288
% SZS output start Proof for 4646600459309027486241288
12. ! [X0] : ((~old(X0) <~> patient(X0)) <=> ~patient(X0)) [input p11]
25. old(paul) [input hypothesis]
55. ! [X0] : ((((~patient(X0) | old(X0)) & (patient(X0) | ~old(X0))) | patient(X0)) & (~patient(X0) | ((... | 0 |
Everyone who is either kind or not happy is old and vice versa.
Everyone who is not kind or brave is either not strong or not brave.
Everyone who is not calm is both not calm and wise.
Everyone who is kind or not happy is either not calm or brave and vice versa.
Everyone who is calm or wise is both strong and not rich.... | Fred is not rich. | entailment | (![X]:((kind(X)<~>~happy(X))<=>old(X)))&
(![X]:((~kind(X)|brave(X))=>(~strong(X)<~>~brave(X))))&
(![X]:(~calm(X)=>(~calm(X)&wise(X))))&
(![X]:((kind(X)|~happy(X))<=>(~calm(X)<~>brave(X))))&
(![X]:((calm(X)|wise(X))=>(strong(X)&~rich(X))))&
(![X]:(funny(X)=>tall(X)))&
(((~quiet(john)<~>wise(john)))=>((~generous(alice)<~... | ~rich(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7182024333905188052195958
% SZS output start Proof for 7182024333905188052195958
3. ! [X0] : (~calm(X0) => (wise(X0) & ~calm(X0))) [input p2]
5. ! [X0] : ((wise(X0) | calm(X0)) => (~rich(X0) & strong(X0))) [input p4]
24. rich(fred) [input hypothesis]
26. ! [X0] : ((wise(X0) & ~calm(X0)) |... | 0 |
Everyone who is not creative is brave or not quiet. If someone is either happy or not kind then paul is either not strong or not humble. If john is either not rich or wise then someone is brave or not rich and vice versa. If paul is generous or not quiet then susan is quiet or not happy and vice versa. Everyone who is ... | Alice is quiet. | contradiction | (![X]:(~creative(X)=>(brave(X)|~quiet(X))))&
((?[X]:((happy(X)<~>~kind(X))))=>((~strong(paul)<~>~humble(paul))))&
(((~rich(john)<~>wise(john)))<=>(?[X]:((brave(X)|~rich(X)))))&
(((generous(paul)|~quiet(paul)))<=>((quiet(susan)|~happy(susan))))&
(![X]:((~patient(X)&generous(X))<=>rich(X)))&
(![X]:((~funny(X)&kind(X))<=>... | quiet(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4385770993208223837751379
% SZS output start Proof for 4385770993208223837751379
10. ! [X0] : ((~kind(X0) & quiet(X0)) <=> kind(X0)) [input p9]
25. quiet(alice) [input hypothesis]
55. ! [X0] : (((~kind(X0) & quiet(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) | ~quiet(X0)))) [nnf transformati... | 0 |
If fred is either not patient or curious then someone is either not calm or creative and vice versa.
If someone is either not brave or calm then fred is not calm.
If someone is both tall and not curious then someone is not generous or not rich.
Everyone who is brave is both strong and not brave and vice versa.
If susan... | Paul is not brave. | entailment | (((~patient(fred)<~>curious(fred)))<=>(?[X]:((~calm(X)<~>creative(X)))))&
((?[X]:((~brave(X)<~>calm(X))))=>(~calm(fred)))&
((?[X]:((tall(X)&~curious(X))))=>(?[X]:((~generous(X)|~rich(X)))))&
(![X]:(brave(X)<=>(strong(X)&~brave(X))))&
((~curious(susan))=>((~creative(lucy)|~strong(lucy))))&
(![X]:((quiet(X)|~quiet(X))<=>... | ~brave(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 650457061173109850687287
% SZS output start Proof for 650457061173109850687287
4. ! [X0] : (brave(X0) <=> (~brave(X0) & strong(X0))) [input p3]
25. brave(paul) [input hypothesis]
45. ! [X0] : ((brave(X0) | (brave(X0) | ~strong(X0))) & ((~brave(X0) & strong(X0)) | ~brave(X0))) [nnf transfo... | 0 |
If lucy is not brave then someone is not wise. Everyone who is both wise and not happy is patient or not brave and vice versa. If alice is brave then lucy is not humble or not patient. If susan is both not rich and strong then someone is both not brave and not funny. If someone is not old then john is either brave or h... | Mary is not curious. | contradiction | ((~brave(lucy))=>(?[X]:(~wise(X))))&
(![X]:((wise(X)&~happy(X))<=>(patient(X)|~brave(X))))&
((brave(alice))=>((~humble(lucy)|~patient(lucy))))&
(((~rich(susan)&strong(susan)))=>(?[X]:((~brave(X)&~funny(X)))))&
((?[X]:(~old(X)))=>((brave(john)<~>happy(john))))&
(![X]:(wise(X)=>(curious(X)<~>old(X))))&
(![X]:((~patient(X... | ~curious(mary) | [
"p1",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 926954191666734098175645
% SZS output start Proof for 926954191666734098175645
2. ! [X0] : ((~happy(X0) & wise(X0)) <=> (~brave(X0) | patient(X0))) [input p1]
7. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (strong(X0) & humble(X0))) [input p6]
13. ~curious(mary) => (~humble(alice) & tall(alic... | 0 |
If mary is not rich then someone is either strong or not funny and vice versa.
Everyone who is not brave or curious is either humble or happy and vice versa.
Everyone who is both not calm and old is patient.
If someone is not brave or not kind then susan is old or not patient and vice versa.
If john is both calm and no... | Susan is calm. | entailment | ((~rich(mary))<=>(?[X]:((strong(X)<~>~funny(X)))))&
(![X]:((~brave(X)|curious(X))<=>(humble(X)<~>happy(X))))&
(![X]:((~calm(X)&old(X))=>patient(X)))&
((?[X]:((~brave(X)|~kind(X))))<=>((old(susan)|~patient(susan))))&
(((calm(john)&~strong(john)))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:((~wise(X)&kind(X))=>(curious(X)|~old... | calm(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6309790162429242567346231
% SZS output start Proof for 6309790162429242567346231
10. ! [X0] : ((patient(X0) | ~patient(X0)) => (~generous(X0) & calm(X0))) [input p9]
25. ~calm(susan) [input hypothesis]
39. ! [X0] : ((~generous(X0) & calm(X0)) | (~patient(X0) & patient(X0))) [ennf transfor... | 0 |
If paul is old then mary is either not calm or not brave. Everyone who is creative or not generous is both not creative and not wise. Everyone who is both wise and not old is either humble or happy and vice versa. Everyone who is funny is creative. If someone is either patient or old then someone is tall or generous. E... | Paul is not calm. | entailment | ((old(paul))=>((~calm(mary)<~>~brave(mary))))&
(![X]:((creative(X)|~generous(X))=>(~creative(X)&~wise(X))))&
(![X]:((wise(X)&~old(X))<=>(humble(X)<~>happy(X))))&
(![X]:(funny(X)=>creative(X)))&
((?[X]:((patient(X)<~>old(X))))=>(?[X]:((tall(X)|generous(X)))))&
(![X]:(~funny(X)=>(~strong(X)<~>patient(X))))&
(![X]:((~funn... | ~calm(paul) | [
"p1",
"p3",
"p6",
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1728409057578861905406328
% SZS output start Proof for 1728409057578861905406328
2. ! [X0] : ((~generous(X0) | creative(X0)) => (~wise(X0) & ~creative(X0))) [input p1]
4. ! [X0] : (funny(X0) => creative(X0)) [input p3]
7. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (brave(X0) & kind(X0))) [i... | 0 |
If mary is both not humble and creative then someone is tall or creative.
If someone is either brave or not wise then someone is either not humble or humble and vice versa.
Everyone who is not curious is either strong or not funny.
Everyone who is both calm and funny is both not calm and not kind and vice versa.
Everyo... | Alice is strong. | entailment | (((~humble(mary)&creative(mary)))=>(?[X]:((tall(X)|creative(X)))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:((~humble(X)<~>humble(X)))))&
(![X]:(~curious(X)=>(strong(X)<~>~funny(X))))&
(![X]:((calm(X)&funny(X))<=>(~calm(X)&~kind(X))))&
(![X]:(rich(X)<=>(~generous(X)<~>rich(X))))&
(![X]:(~kind(X)<=>(~kind(X)<~>~rich(X))... | strong(alice) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4575024314856901014713751
% SZS output start Proof for 4575024314856901014713751
6. ! [X0] : (~kind(X0) <=> (~kind(X0) <~> ~rich(X0))) [input p5]
19. rich(alice) <~> ~strong(alice) [input p18]
24. ~strong(alice) [input hypothesis]
56. ! [X0] : ((~kind(X0) | ((~kind(X0) | rich(X0)) & (~ric... | 0 |
If alice is either not old or wise then someone is both not quiet and tall and vice versa.
Everyone who is not quiet is both tall and old.
If someone is either funny or not tall then someone is not creative or not rich and vice versa.
Everyone who is either quiet or not calm is both not strong and not quiet and vice ve... | Fred is old. | neutral | (((~old(alice)<~>wise(alice)))<=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]:(~quiet(X)=>(tall(X)&old(X))))&
((?[X]:((funny(X)<~>~tall(X))))<=>(?[X]:((~creative(X)|~rich(X)))))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
((?[X]:((humble(X)&~patient(X))))<=>((quiet(john)&cr... | old(fred) | [] | null | 0 |
Everyone who is both humble and kind is either not generous or old and vice versa. If someone is strong then mary is either wise or patient and vice versa. If someone is funny then someone is either strong or patient. Everyone who is either calm or not patient is either wise or not funny and vice versa. Everyone who is... | Lucy is not happy. | neutral | (![X]:((humble(X)&kind(X))<=>(~generous(X)<~>old(X))))&
((?[X]:(strong(X)))<=>((wise(mary)<~>patient(mary))))&
((?[X]:(funny(X)))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>~patient(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((~old(X)<~>quiet(X))=>strong(X)))&
(![X]:((brave(X)|~tall(X))<=>wise(X)))&
(![X]:(curiou... | ~happy(lucy) | [] | null | 0 |
Everyone who is not brave is funny or not funny and vice versa.
Everyone who is either not curious or funny is not funny.
If someone is not rich or curious then someone is not strong and vice versa.
If lucy is both old and not creative then fred is either not happy or not kind and vice versa.
Everyone who is both humbl... | Mary is funny. | neutral | (![X]:(~brave(X)<=>(funny(X)|~funny(X))))&
(![X]:((~curious(X)<~>funny(X))=>~funny(X)))&
((?[X]:((~rich(X)|curious(X))))<=>(?[X]:(~strong(X))))&
(((old(lucy)&~creative(lucy)))<=>((~happy(fred)<~>~kind(fred))))&
(![X]:((humble(X)&~old(X))=>(~patient(X)&~kind(X))))&
(((brave(mary)|funny(mary)))<=>(?[X]:((~quiet(X)&~humbl... | funny(mary) | [] | null | 0 |
Everyone who is either generous or not patient is either not happy or not curious and vice versa. Everyone who is calm is not wise or not calm. If someone is both tall and generous then someone is both not creative and generous and vice versa. If mary is both not kind and not wise then john is not calm. Everyone who is... | Fred is curious. | neutral | (![X]:((generous(X)<~>~patient(X))<=>(~happy(X)<~>~curious(X))))&
(![X]:(calm(X)=>(~wise(X)|~calm(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(((~kind(mary)&~wise(mary)))=>(~calm(john)))&
(![X]:((~strong(X)<~>~tall(X))<=>~tall(X)))&
(![X]:((quiet(X)|~generous(X))<=>(patient(X)|~kind(X... | curious(fred) | [] | null | 0 |
Everyone who is both not creative and humble is old. If lucy is both strong and generous then paul is kind and vice versa. Everyone who is both not brave and quiet is humble and vice versa. Everyone who is not rich or calm is both wise and humble and vice versa. If someone is either kind or not wise then paul is old or... | Mary is not patient. | neutral | (![X]:((~creative(X)&humble(X))=>old(X)))&
(((strong(lucy)&generous(lucy)))<=>(kind(paul)))&
(![X]:((~brave(X)&quiet(X))<=>humble(X)))&
(![X]:((~rich(X)|calm(X))<=>(wise(X)&humble(X))))&
((?[X]:((kind(X)<~>~wise(X))))=>((old(paul)|~kind(paul))))&
((?[X]:((~rich(X)<~>~strong(X))))=>(calm(john)))&
((?[X]:((~tall(X)<~>~ge... | ~patient(mary) | [] | null | 0 |
If someone is both creative and not patient then susan is either strong or curious. Everyone who is either kind or brave is not strong. Everyone who is not brave is either not patient or not curious and vice versa. If john is both not brave and happy then someone is both rich and not kind. Everyone who is either patien... | Susan is wise. | neutral | ((?[X]:((creative(X)&~patient(X))))=>((strong(susan)<~>curious(susan))))&
(![X]:((kind(X)<~>brave(X))=>~strong(X)))&
(![X]:(~brave(X)<=>(~patient(X)<~>~curious(X))))&
(((~brave(john)&happy(john)))=>(?[X]:((rich(X)&~kind(X)))))&
(![X]:((patient(X)<~>old(X))<=>~wise(X)))&
(![X]:(~humble(X)<=>(funny(X)|~humble(X))))&
(![X... | wise(susan) | [] | null | 0 |
Everyone who is both funny and not funny is either not wise or not strong.
If someone is either tall or not humble then someone is both quiet and not quiet and vice versa.
If susan is not quiet then someone is either creative or not strong and vice versa.
Everyone who is old or not funny is not old.
Everyone who is eit... | Fred is not kind. | neutral | (![X]:((funny(X)&~funny(X))=>(~wise(X)<~>~strong(X))))&
((?[X]:((tall(X)<~>~humble(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((~quiet(susan))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((old(X)|~funny(X))=>~old(X)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(~funny(X)|~kind(X))))&
(![X]:((funny(X)&~old(X))<=>(generous(X)&quiet... | ~kind(fred) | [] | null | 0 |
Everyone who is both not creative and funny is either kind or quiet and vice versa.
If fred is not happy or not brave then alice is either not curious or humble.
Everyone who is both strong and not generous is creative or not wise.
Everyone who is both humble and creative is both not strong and wise.
Everyone who is ol... | Fred is not old. | entailment | (![X]:((~creative(X)&funny(X))<=>(kind(X)<~>quiet(X))))&
(((~happy(fred)|~brave(fred)))=>((~curious(alice)<~>humble(alice))))&
(![X]:((strong(X)&~generous(X))=>(creative(X)|~wise(X))))&
(![X]:((humble(X)&creative(X))=>(~strong(X)&wise(X))))&
(![X]:((old(X)|patient(X))<=>humble(X)))&
(![X]:((strong(X)|curious(X))<=>(cre... | ~old(fred) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7848956348674581021507712
% SZS output start Proof for 7848956348674581021507712
3. ! [X0] : ((~generous(X0) & strong(X0)) => (~wise(X0) | creative(X0))) [input p2]
4. ! [X0] : ((creative(X0) & humble(X0)) => (wise(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((patient(X0) | old(X0)) <=> hu... | 0 |
If alice is humble then someone is both rich and not generous and vice versa.
Everyone who is not curious or not brave is not calm or wise and vice versa.
If someone is both funny and not kind then susan is both kind and calm.
Everyone who is both tall and not tall is not old and vice versa.
If mary is both humble and ... | Mary is strong. | neutral | ((humble(alice))<=>(?[X]:((rich(X)&~generous(X)))))&
(![X]:((~curious(X)|~brave(X))<=>(~calm(X)|wise(X))))&
((?[X]:((funny(X)&~kind(X))))=>((kind(susan)&calm(susan))))&
(![X]:((tall(X)&~tall(X))<=>~old(X)))&
(((humble(mary)&~brave(mary)))<=>((~humble(susan)|~funny(susan))))&
(((~tall(paul)|generous(paul)))=>((wise(susa... | strong(mary) | [] | null | 0 |
If paul is curious then someone is either not humble or not curious and vice versa.
If someone is generous then someone is either not generous or not kind.
If someone is not creative or not generous then someone is not generous or not tall and vice versa.
Everyone who is strong is both old and not brave.
If someone is ... | Mary is tall. | entailment | ((curious(paul))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
((?[X]:(generous(X)))=>(?[X]:((~generous(X)<~>~kind(X)))))&
((?[X]:((~creative(X)|~generous(X))))<=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:(strong(X)=>(old(X)&~brave(X))))&
((?[X]:((brave(X)|humble(X))))=>(?[X]:((wise(X)|generous(X)))))&
(![X]:(~creative(X)=>~h... | tall(mary) | [
"p6",
"p8",
"p10",
"p15",
"p16",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8419504619105235780963069
% SZS output start Proof for 8419504619105235780963069
7. ! [X0] : ((~curious(X0) | ~calm(X0)) => (~happy(X0) <~> calm(X0))) [input p6]
9. (generous(alice) & ~kind(alice)) <=> ? [X0] : (quiet(X0) & curious(X0)) [input p8]
11. ! [X0] : ((~kind(X0) | ~calm(X0)) => ... | 0 |
Everyone who is creative is both curious and rich and vice versa.
If susan is both not old and rich then mary is either tall or not rich and vice versa.
Everyone who is both tall and not strong is both not brave and kind and vice versa.
If someone is kind or humble then someone is old.
Everyone who is both happy and cu... | Paul is patient. | contradiction | (![X]:(creative(X)<=>(curious(X)&rich(X))))&
(((~old(susan)&rich(susan)))<=>((tall(mary)<~>~rich(mary))))&
(![X]:((tall(X)&~strong(X))<=>(~brave(X)&kind(X))))&
((?[X]:((kind(X)|humble(X))))=>(?[X]:(old(X))))&
(![X]:((happy(X)&curious(X))=>(~humble(X)<~>calm(X))))&
(![X]:((quiet(X)|happy(X))=>(~generous(X)&tall(X))))&
(... | patient(paul) | [
"p2",
"p5",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 380954548042644163566716
% SZS output start Proof for 380954548042644163566716
3. ! [X0] : ((~strong(X0) & tall(X0)) <=> (kind(X0) & ~brave(X0))) [input p2]
6. ! [X0] : ((happy(X0) | quiet(X0)) => (tall(X0) & ~generous(X0))) [input p5]
12. ! [X0] : ((~happy(X0) & curious(X0)) <=> strong(X... | 0 |
If lucy is both quiet and funny then alice is not kind and vice versa.
If someone is not humble then lucy is not tall and vice versa.
If paul is patient then john is either rich or not funny.
If someone is not generous or calm then mary is both not wise and not brave.
If someone is either not rich or not calm then paul... | Mary is brave. | contradiction | (((quiet(lucy)&funny(lucy)))<=>(~kind(alice)))&
((?[X]:(~humble(X)))<=>(~tall(lucy)))&
((patient(paul))=>((rich(john)<~>~funny(john))))&
((?[X]:((~generous(X)|calm(X))))=>((~wise(mary)&~brave(mary))))&
((?[X]:((~rich(X)<~>~calm(X))))<=>((~happy(paul)&wise(paul))))&
(![X]:(~humble(X)<=>brave(X)))&
(![X]:(tall(X)<=>patie... | brave(mary) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1339798574011490047742870
% SZS output start Proof for 1339798574011490047742870
4. ? [X0] : (calm(X0) | ~generous(X0)) => (~brave(mary) & ~wise(mary)) [input p3]
23. calm(john) & ~tall(john) [input p22]
25. brave(mary) [input hypothesis]
29. (~brave(mary) & ~wise(mary)) | ! [X0] : (~calm... | 0 |
Everyone who is either rich or quiet is both creative and not rich.
Everyone who is both not happy and brave is both not funny and not calm.
If susan is not kind or generous then susan is either generous or brave.
Everyone who is not old is humble or strong.
If john is quiet then fred is both wise and not patient.
If s... | Fred is not strong. | contradiction | (![X]:((rich(X)<~>quiet(X))=>(creative(X)&~rich(X))))&
(![X]:((~happy(X)&brave(X))=>(~funny(X)&~calm(X))))&
(((~kind(susan)|generous(susan)))=>((generous(susan)<~>brave(susan))))&
(![X]:(~old(X)=>(humble(X)|strong(X))))&
((quiet(john))=>((wise(fred)&~patient(fred))))&
((?[X]:((creative(X)&rich(X))))<=>(?[X]:((old(X)<~>... | ~strong(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 758466064145665831198521
% SZS output start Proof for 758466064145665831198521
10. ! [X0] : (strong(X0) <=> (~quiet(X0) | ~strong(X0))) [input p9]
25. ~strong(fred) [input hypothesis]
53. ! [X0] : ((strong(X0) | (quiet(X0) & strong(X0))) & ((~quiet(X0) | ~strong(X0)) | ~strong(X0))) [nnf ... | 0 |
Everyone who is either patient or brave is either not brave or not quiet and vice versa. Everyone who is both not quiet and not funny is both generous and tall. If susan is either rich or quiet then someone is either generous or creative and vice versa. Everyone who is humble is quiet or not rich. If alice is kind then... | Paul is quiet. | neutral | (![X]:((patient(X)<~>brave(X))<=>(~brave(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&~funny(X))=>(generous(X)&tall(X))))&
(((rich(susan)<~>quiet(susan)))<=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:(humble(X)=>(quiet(X)|~rich(X))))&
((kind(alice))=>(tall(alice)))&
(((~strong(paul)&~happy(paul)))<=>((patient(alice)<~>~old(a... | quiet(paul) | [] | null | 0 |
If john is not calm then someone is either calm or not funny and vice versa.
If susan is not old or not brave then fred is either not generous or kind.
If someone is either humble or tall then someone is either not patient or not funny.
If someone is either kind or rich then someone is tall or strong.
If fred is not ha... | Alice is not calm. | contradiction | ((~calm(john))<=>(?[X]:((calm(X)<~>~funny(X)))))&
(((~old(susan)|~brave(susan)))=>((~generous(fred)<~>kind(fred))))&
((?[X]:((humble(X)<~>tall(X))))=>(?[X]:((~patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)<~>rich(X))))=>(?[X]:((tall(X)|strong(X)))))&
((~happy(fred))=>((~kind(john)<~>~brave(john))))&
(![X]:((~creative(X)&... | ~calm(alice) | [
"p0",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7709126354568118477968339
% SZS output start Proof for 7709126354568118477968339
1. ~calm(john) <=> ? [X0] : (calm(X0) <~> ~funny(X0)) [input p0]
6. ! [X0] : ((~old(X0) & ~creative(X0)) <=> (~strong(X0) <~> calm(X0))) [input p5]
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (~creative(X0) | cur... | 0 |
Everyone who is either not humble or not creative is not creative.
Everyone who is both rich and not old is either wise or not calm and vice versa.
If someone is both not tall and calm then alice is not curious or not patient.
If susan is rich or creative then susan is both curious and generous and vice versa.
Everyone... | Lucy is not rich. | entailment | (![X]:((~humble(X)<~>~creative(X))=>~creative(X)))&
(![X]:((rich(X)&~old(X))<=>(wise(X)<~>~calm(X))))&
((?[X]:((~tall(X)&calm(X))))=>((~curious(alice)|~patient(alice))))&
(((rich(susan)|creative(susan)))<=>((curious(susan)&generous(susan))))&
(![X]:((creative(X)|~wise(X))=>~creative(X)))&
((~funny(lucy))<=>(old(paul)))... | ~rich(lucy) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5897005693409245463152583
% SZS output start Proof for 5897005693409245463152583
5. ! [X0] : ((~wise(X0) | creative(X0)) => ~creative(X0)) [input p4]
10. ! [X0] : ((creative(X0) & ~brave(X0)) <=> (~rich(X0) <~> ~creative(X0))) [input p9]
25. rich(lucy) [input hypothesis]
31. ! [X0] : (~cr... | 0 |
If lucy is wise or curious then someone is both happy and not creative. Everyone who is either not old or happy is humble and vice versa. Everyone who is both not patient and not humble is strong or not quiet and vice versa. If someone is old or wise then someone is brave or not brave and vice versa. Everyone who is wi... | Paul is not humble. | contradiction | (((wise(lucy)|curious(lucy)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~old(X)<~>happy(X))<=>humble(X)))&
(![X]:((~patient(X)&~humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:((wise(X)|tall(X))<=>(happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~stron... | ~humble(paul) | [
"p1",
"p4",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5416669572122165740958828
% SZS output start Proof for 5416669572122165740958828
2. ! [X0] : ((~old(X0) <~> happy(X0)) <=> humble(X0)) [input p1]
5. ! [X0] : ((tall(X0) | wise(X0)) <=> (~brave(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (strong(X0) | ~strong(... | 0 |
Everyone who is either not rich or brave is either quiet or old.
If paul is not rich then fred is not brave or not creative and vice versa.
Everyone who is both humble and brave is quiet and vice versa.
Everyone who is calm or not tall is not strong.
Everyone who is not happy is wise or old.
If someone is either curiou... | Mary is old. | entailment | (![X]:((~rich(X)<~>brave(X))=>(quiet(X)<~>old(X))))&
((~rich(paul))<=>((~brave(fred)|~creative(fred))))&
(![X]:((humble(X)&brave(X))<=>quiet(X)))&
(![X]:((calm(X)|~tall(X))=>~strong(X)))&
(![X]:(~happy(X)=>(wise(X)|old(X))))&
((?[X]:((curious(X)<~>old(X))))=>(?[X]:((calm(X)&~rich(X)))))&
(![X]:((~calm(X)<~>~rich(X))<=>... | old(mary) | [
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 528387277429624474502585
% SZS output start Proof for 528387277429624474502585
4. ! [X0] : ((~tall(X0) | calm(X0)) => ~strong(X0)) [input p3]
6. ? [X0] : (curious(X0) <~> old(X0)) => ? [X0] : (~rich(X0) & calm(X0)) [input p5]
14. ! [X0] : ((~curious(X0) | ~strong(X0)) => (~patient(X0) & p... | 0 |
If someone is not brave or not calm then paul is either not generous or generous and vice versa. If someone is either not funny or brave then someone is curious or not calm and vice versa. Everyone who is humble or strong is both not curious and curious. If someone is either not curious or humble then susan is both fun... | Lucy is kind. | entailment | ((?[X]:((~brave(X)|~calm(X))))<=>((~generous(paul)<~>generous(paul))))&
((?[X]:((~funny(X)<~>brave(X))))<=>(?[X]:((curious(X)|~calm(X)))))&
(![X]:((humble(X)|strong(X))=>(~curious(X)&curious(X))))&
((?[X]:((~curious(X)<~>humble(X))))=>((funny(susan)&~patient(susan))))&
((?[X]:((quiet(X)&wise(X))))=>((brave(lucy)&~old(l... | kind(lucy) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5855663582001815216747229
% SZS output start Proof for 5855663582001815216747229
3. ! [X0] : ((strong(X0) | humble(X0)) => (curious(X0) & ~curious(X0))) [input p2]
15. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> (kind(X0) & creative(X0))) [input p14]
25. ~kind(lucy) [input hypothesis]
27. ! [... | 0 |
If someone is generous then someone is not brave or patient and vice versa.
If mary is not creative then someone is either not funny or not kind and vice versa.
Everyone who is generous is both old and not happy and vice versa.
Everyone who is patient or not calm is both not tall and not kind.
Everyone who is either no... | Mary is happy. | contradiction | ((?[X]:(generous(X)))<=>(?[X]:((~brave(X)|patient(X)))))&
((~creative(mary))<=>(?[X]:((~funny(X)<~>~kind(X)))))&
(![X]:(generous(X)<=>(old(X)&~happy(X))))&
(![X]:((patient(X)|~calm(X))=>(~tall(X)&~kind(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(humble(X)&~happy(X))))&
(![X]:(~kind(X)<=>creative(X)))&
(((~rich(fred)<~>~pa... | happy(mary) | [
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 308743432987569197163765
% SZS output start Proof for 308743432987569197163765
10. ! [X0] : ((curious(X0) | ~kind(X0)) <=> ~happy(X0)) [input p9]
15. ! [X0] : (~curious(X0) => (rich(X0) & ~creative(X0))) [input p14]
17. kind(mary) & ~rich(mary) [input p16]
25. happy(mary) [input hypothesi... | 0 |
Everyone who is either not funny or not happy is not wise or not rich and vice versa.
Everyone who is not kind or quiet is quiet or funny and vice versa.
Everyone who is both generous and not wise is either not calm or not wise and vice versa.
Everyone who is not brave or not calm is either not funny or not quiet.
If f... | John is kind. | contradiction | (![X]:((~funny(X)<~>~happy(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~kind(X)|quiet(X))<=>(quiet(X)|funny(X))))&
(![X]:((generous(X)&~wise(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((~brave(X)|~calm(X))=>(~funny(X)<~>~quiet(X))))&
((~brave(fred))<=>(?[X]:(~kind(X))))&
(((humble(paul)|funny(paul)))=>(?[X]:((~humble(X)<~>~curious(... | kind(john) | [
"p1",
"p2",
"p3",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2113785141473115965946241
% SZS output start Proof for 2113785141473115965946241
2. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (funny(X0) | quiet(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & generous(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p2]
4. ! [X0] : ((~calm(X0) | ~brave(X0)) => (~funny(... | 0 |
Everyone who is both old and not patient is brave or generous and vice versa. Everyone who is either strong or quiet is both funny and not quiet. If someone is not generous or not humble then someone is not calm. If lucy is not generous then mary is both not happy and not brave and vice versa. Everyone who is kind or h... | Lucy is funny. | entailment | (![X]:((old(X)&~patient(X))<=>(brave(X)|generous(X))))&
(![X]:((strong(X)<~>quiet(X))=>(funny(X)&~quiet(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:(~calm(X))))&
((~generous(lucy))<=>((~happy(mary)&~brave(mary))))&
(![X]:((kind(X)|humble(X))=>~creative(X)))&
(![X]:((~funny(X)|generous(X))<=>(~wise(X)<~>curious(X)... | funny(lucy) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5929018432548529079749141
% SZS output start Proof for 5929018432548529079749141
6. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~wise(X0) <~> curious(X0))) [input p5]
10. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> (brave(X0) | ~brave(X0))) [input p9]
22. ~funny(lucy) [input hypothesis]
48.... | 0 |
If someone is both brave and rich then alice is either humble or patient and vice versa.
If someone is not funny then susan is not kind and vice versa.
If mary is either funny or not funny then fred is not funny or wise.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is eit... | Fred is not creative. | contradiction | ((?[X]:((brave(X)&rich(X))))<=>((humble(alice)<~>patient(alice))))&
((?[X]:(~funny(X)))<=>(~kind(susan)))&
(((funny(mary)<~>~funny(mary)))=>((~funny(fred)|wise(fred))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~... | ~creative(fred) | [
"p5",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3198390565357086959278820
% SZS output start Proof for 3198390565357086959278820
6. (~happy(john) & ~curious(john)) <=> ? [X0] : (strong(X0) | ~calm(X0)) [input p5]
10. ! [X0] : ((~kind(X0) | ~strong(X0)) => humble(X0)) [input p9]
12. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) [input p... | 0 |
If someone is not generous or not curious then fred is not wise and vice versa. Everyone who is either not calm or not happy is not calm and vice versa. If someone is not curious then someone is kind or not happy. Everyone who is either not kind or not rich is tall and vice versa. Everyone who is not generous or not ri... | Lucy is tall. | neutral | ((?[X]:((~generous(X)|~curious(X))))<=>(~wise(fred)))&
(![X]:((~calm(X)<~>~happy(X))<=>~calm(X)))&
((?[X]:(~curious(X)))=>(?[X]:((kind(X)|~happy(X)))))&
(![X]:((~kind(X)<~>~rich(X))<=>tall(X)))&
(![X]:((~generous(X)|~rich(X))=>curious(X)))&
(((humble(john)<~>kind(john)))=>((~kind(john)<~>~brave(john))))&
(![X]:(~patien... | tall(lucy) | [] | null | 0 |
If someone is not generous or calm then paul is not strong.
Everyone who is both humble and patient is either not tall or happy.
If someone is not generous then john is generous and vice versa.
Everyone who is happy or creative is not patient or quiet and vice versa.
Everyone who is both calm and quiet is not kind or n... | Susan is not wise. | neutral | ((?[X]:((~generous(X)|calm(X))))=>(~strong(paul)))&
(![X]:((humble(X)&patient(X))=>(~tall(X)<~>happy(X))))&
((?[X]:(~generous(X)))<=>(generous(john)))&
(![X]:((happy(X)|creative(X))<=>(~patient(X)|quiet(X))))&
(![X]:((calm(X)&quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~patient(X)<~>~happy(X))<=>~quiet(X)))&
(![X]:((kind... | ~wise(susan) | [] | null | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | Fred is not old. | entailment | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | ~old(fred) | [
"p0",
"p6",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9107018343627820368160365
% SZS output start Proof for 9107018343627820368160365
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
7. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~patient(X0)) [input p6]
9. ! [X0] : ((~generous(X0) & ~funny(X0)) <=> (~creative(... | 0 |
If lucy is not happy then someone is both strong and wise. If someone is either generous or strong then someone is either not patient or rich and vice versa. Everyone who is not tall or calm is either not rich or not curious and vice versa. Everyone who is not rich or kind is either not strong or not quiet and vice ver... | Lucy is creative. | contradiction | ((~happy(lucy))=>(?[X]:((strong(X)&wise(X)))))&
((?[X]:((generous(X)<~>strong(X))))<=>(?[X]:((~patient(X)<~>rich(X)))))&
(![X]:((~tall(X)|calm(X))<=>(~rich(X)<~>~curious(X))))&
(![X]:((~rich(X)|kind(X))<=>(~strong(X)<~>~quiet(X))))&
(![X]:((rich(X)<~>calm(X))=>(~tall(X)|generous(X))))&
(![X]:((~creative(X)|calm(X))<=>(... | creative(lucy) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 835977240604278481885685
% SZS output start Proof for 835977240604278481885685
6. ! [X0] : ((calm(X0) | ~creative(X0)) <=> (~calm(X0) & ~tall(X0))) [input p5]
14. ? [X0] : (wise(X0) | creative(X0)) => ? [X0] : (calm(X0) & ~wise(X0)) [input p13]
24. creative(lucy) [input hypothesis]
26. ? ... | 0 |
Everyone who is not wise is old.
Everyone who is not calm or calm is happy or not old.
Everyone who is both happy and not old is not brave or not quiet and vice versa.
If lucy is funny then alice is not curious and vice versa.
Everyone who is either not calm or not wise is not curious or not rich and vice versa.
If joh... | Fred is wise. | entailment | (![X]:(~wise(X)=>old(X)))&
(![X]:((~calm(X)|calm(X))=>(happy(X)|~old(X))))&
(![X]:((happy(X)&~old(X))<=>(~brave(X)|~quiet(X))))&
((funny(lucy))<=>(~curious(alice)))&
(![X]:((~calm(X)<~>~wise(X))<=>(~curious(X)|~rich(X))))&
((kind(john))=>(?[X]:((~happy(X)&~creative(X)))))&
(![X]:((~strong(X)&old(X))=>(happy(X)|~strong(... | wise(fred) | [
"p0",
"p1",
"p2",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8899781051421427737383967
% SZS output start Proof for 8899781051421427737383967
1. ! [X0] : (~wise(X0) => old(X0)) [input p0]
2. ! [X0] : ((calm(X0) | ~calm(X0)) => (~old(X0) | happy(X0))) [input p1]
3. ! [X0] : ((~old(X0) & happy(X0)) <=> (~quiet(X0) | ~brave(X0))) [input p2]
8. ! [X0] ... | 0 |
Everyone who is both tall and patient is either not quiet or rich.
If someone is strong then someone is tall.
Everyone who is not patient is not creative or not tall.
Everyone who is both not patient and not wise is either brave or not funny.
Everyone who is both generous and not curious is calm.
If someone is not wise... | Susan is not tall. | neutral | (![X]:((tall(X)&patient(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:(strong(X)))=>(?[X]:(tall(X))))&
(![X]:(~patient(X)=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)<~>~funny(X))))&
(![X]:((generous(X)&~curious(X))=>calm(X)))&
((?[X]:(~wise(X)))<=>((kind(susan)|~old(susan))))&
((?[X]:((funny(X)<~>genero... | ~tall(susan) | [] | null | 0 |
If susan is brave or calm then paul is not strong.
If someone is quiet or not wise then susan is old and vice versa.
If fred is both funny and rich then someone is both happy and humble and vice versa.
Everyone who is creative is not tall or not happy.
Everyone who is not rich is either not kind or old.
Everyone who is... | Alice is wise. | neutral | (((brave(susan)|calm(susan)))=>(~strong(paul)))&
((?[X]:((quiet(X)|~wise(X))))<=>(old(susan)))&
(((funny(fred)&rich(fred)))<=>(?[X]:((happy(X)&humble(X)))))&
(![X]:(creative(X)=>(~tall(X)|~happy(X))))&
(![X]:(~rich(X)=>(~kind(X)<~>old(X))))&
(![X]:((old(X)|~old(X))<=>(~happy(X)<~>~quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:... | wise(alice) | [] | null | 0 |
If paul is either not generous or not rich then susan is not generous or not brave. Everyone who is either not old or generous is either not old or not brave. Everyone who is not kind is not old and vice versa. Everyone who is funny is not calm or not tall and vice versa. If john is either not humble or strong then mar... | Paul is rich. | contradiction | (((~generous(paul)<~>~rich(paul)))=>((~generous(susan)|~brave(susan))))&
(![X]:((~old(X)<~>generous(X))=>(~old(X)<~>~brave(X))))&
(![X]:(~kind(X)<=>~old(X)))&
(![X]:(funny(X)<=>(~calm(X)|~tall(X))))&
(((~humble(john)<~>strong(john)))=>(~creative(mary)))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(humble(X)=>(~calm(X)<~>~ki... | rich(paul) | [
"p2",
"p3",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8863239382920238179291746
% SZS output start Proof for 8863239382920238179291746
3. ! [X0] : (~kind(X0) <=> ~old(X0)) [input p2]
4. ! [X0] : (funny(X0) <=> (~tall(X0) | ~calm(X0))) [input p3]
7. ! [X0] : (humble(X0) => (~calm(X0) <~> ~kind(X0))) [input p6]
11. ! [X0] : ((old(X0) & humble(... | 0 |
Everyone who is both not curious and tall is either not funny or not calm. If someone is both generous and not patient then someone is either creative or not old. Everyone who is not happy or tall is humble. If someone is generous or calm then alice is generous or curious and vice versa. Everyone who is not rich is not... | Paul is not funny. | contradiction | (![X]:((~curious(X)&tall(X))=>(~funny(X)<~>~calm(X))))&
((?[X]:((generous(X)&~patient(X))))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((~happy(X)|tall(X))=>humble(X)))&
((?[X]:((generous(X)|calm(X))))<=>((generous(alice)|curious(alice))))&
(![X]:(~rich(X)=>(~strong(X)|rich(X))))&
(![X]:(wise(X)=>~happy(X)))&
((?[X]:(~b... | ~funny(paul) | [
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 421911079182309977338142
% SZS output start Proof for 421911079182309977338142
6. ! [X0] : (wise(X0) => ~happy(X0)) [input p5]
14. ! [X0] : (~wise(X0) => ~humble(X0)) [input p13]
15. ? [X0] : (calm(X0) | ~funny(X0)) <=> (humble(susan) & happy(susan)) [input p14]
23. ~funny(paul) [input hy... | 0 |
Everyone who is either kind or funny is both not quiet and quiet. Everyone who is both not humble and tall is quiet or wise. If mary is creative or not kind then someone is kind or not happy and vice versa. If someone is kind then mary is both not brave and not generous. Everyone who is generous or tall is either wise ... | Fred is not tall. | entailment | (![X]:((kind(X)<~>funny(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~humble(X)&tall(X))=>(quiet(X)|wise(X))))&
(((creative(mary)|~kind(mary)))<=>(?[X]:((kind(X)|~happy(X)))))&
((?[X]:(kind(X)))=>((~brave(mary)&~generous(mary))))&
(![X]:((generous(X)|tall(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((quiet(X)&patient(X))=>(calm(X)<~>... | ~tall(fred) | [
"p0",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 698000099473661729860629
% SZS output start Proof for 698000099473661729860629
1. ! [X0] : ((kind(X0) <~> funny(X0)) => (quiet(X0) & ~quiet(X0))) [input p0]
7. ? [X0] : (~rich(X0) | tall(X0)) => ? [X0] : (generous(X0) & ~old(X0)) [input p6]
10. ! [X0] : (old(X0) <=> (~kind(X0) | ~wise(X0)... | 0 |
Everyone who is either not tall or kind is not old or strong. Everyone who is both not humble and not creative is not patient or old. If susan is both not old and not tall then someone is both not happy and old. Everyone who is patient or rich is not patient and vice versa. If mary is not generous or patient then someo... | Susan is quiet. | neutral | (![X]:((~tall(X)<~>kind(X))=>(~old(X)|strong(X))))&
(![X]:((~humble(X)&~creative(X))=>(~patient(X)|old(X))))&
(((~old(susan)&~tall(susan)))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((patient(X)|rich(X))<=>~patient(X)))&
(((~generous(mary)|patient(mary)))=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((~generous(X)|strong(X))=>(r... | quiet(susan) | [] | null | 0 |
If john is not calm or not quiet then lucy is tall or generous. Everyone who is either not humble or not old is both not quiet and rich. Everyone who is either not tall or not creative is not tall or brave and vice versa. If john is either patient or kind then john is not kind. If fred is calm then susan is both not fu... | Lucy is old. | entailment | (((~calm(john)|~quiet(john)))=>((tall(lucy)|generous(lucy))))&
(![X]:((~humble(X)<~>~old(X))=>(~quiet(X)&rich(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>(~tall(X)|brave(X))))&
(((patient(john)<~>kind(john)))=>(~kind(john)))&
((calm(fred))=>((~funny(susan)&kind(susan))))&
(![X]:((kind(X)&wise(X))<=>~calm(X)))&
(![X]:(pat... | old(lucy) | [
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 621638718233061164173629
% SZS output start Proof for 621638718233061164173629
11. ! [X0] : ((curious(X0) | rich(X0)) <=> (old(X0) & brave(X0))) [input p10]
19. wise(lucy) & curious(lucy) [input p18]
24. ~old(lucy) [input hypothesis]
52. ! [X0] : (((curious(X0) | rich(X0)) | (~old(X0) | ~... | 0 |
Everyone who is either generous or not strong is both old and not curious and vice versa.
Everyone who is both not rich and curious is strong or not curious.
If mary is both not tall and calm then alice is both not calm and not quiet.
If someone is both not patient and humble then john is not patient.
Everyone who is b... | Alice is not quiet. | neutral | (![X]:((generous(X)<~>~strong(X))<=>(old(X)&~curious(X))))&
(![X]:((~rich(X)&curious(X))=>(strong(X)|~curious(X))))&
(((~tall(mary)&calm(mary)))=>((~calm(alice)&~quiet(alice))))&
((?[X]:((~patient(X)&humble(X))))=>(~patient(john)))&
(![X]:((generous(X)&~wise(X))<=>(~calm(X)|~creative(X))))&
(![X]:(~old(X)=>(~tall(X)|pa... | ~quiet(alice) | [] | null | 0 |
If john is either not happy or not kind then alice is patient and vice versa. If someone is kind or brave then lucy is strong and vice versa. Everyone who is both not quiet and curious is not funny or quiet. Everyone who is wise or not wise is quiet. Everyone who is either creative or not generous is patient or not ric... | Fred is not creative. | contradiction | (((~happy(john)<~>~kind(john)))<=>(patient(alice)))&
((?[X]:((kind(X)|brave(X))))<=>(strong(lucy)))&
(![X]:((~quiet(X)&curious(X))=>(~funny(X)|quiet(X))))&
(![X]:((wise(X)|~wise(X))=>quiet(X)))&
(![X]:((creative(X)<~>~generous(X))<=>(patient(X)|~rich(X))))&
(![X]:((~creative(X)|creative(X))=>~humble(X)))&
(![X]:((creat... | ~creative(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4899038697748955248959652
% SZS output start Proof for 4899038697748955248959652
19. creative(fred) [input p18]
22. ~creative(fred) [input hypothesis]
118. creative(fred) [cnf transformation 19]
120. ~creative(fred) [cnf transformation 22]
246. 28 <=> creative(fred) [avatar definition]
25... | 0 |
If susan is patient then susan is not funny or not calm and vice versa. Everyone who is either not generous or not patient is not wise and vice versa. Everyone who is happy or calm is either quiet or tall. Everyone who is patient or not kind is either rich or funny. If john is creative or not patient then john is creat... | Susan is kind. | entailment | ((patient(susan))<=>((~funny(susan)|~calm(susan))))&
(![X]:((~generous(X)<~>~patient(X))<=>~wise(X)))&
(![X]:((happy(X)|calm(X))=>(quiet(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(rich(X)<~>funny(X))))&
(((creative(john)|~patient(john)))<=>(creative(john)))&
(![X]:((curious(X)<~>calm(X))=>(~happy(X)|~tall(X))))&
(... | kind(susan) | [
"p3",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8422053240428976991876055
% SZS output start Proof for 8422053240428976991876055
4. ! [X0] : ((~kind(X0) | patient(X0)) => (rich(X0) <~> funny(X0))) [input p3]
15. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> ~rich(X0))) [input p14]
18. funny(susan) [input p17]
24. ~kind(susan) [input hypot... | 0 |
Everyone who is strong is kind. If susan is curious then paul is calm. Everyone who is both not old and not patient is funny or generous. Everyone who is both not tall and funny is either not wise or old. Everyone who is either not curious or humble is not calm and vice versa. Everyone who is tall is funny. Everyone wh... | Paul is rich. | neutral | (![X]:(strong(X)=>kind(X)))&
((curious(susan))=>(calm(paul)))&
(![X]:((~old(X)&~patient(X))=>(funny(X)|generous(X))))&
(![X]:((~tall(X)&funny(X))=>(~wise(X)<~>old(X))))&
(![X]:((~curious(X)<~>humble(X))<=>~calm(X)))&
(![X]:(tall(X)=>funny(X)))&
(![X]:((~quiet(X)|tall(X))=>(~happy(X)&~patient(X))))&
(((strong(paul)<~>wi... | rich(paul) | [] | null | 0 |
Everyone who is old or rich is not wise and vice versa.
Everyone who is either strong or not calm is not generous or quiet and vice versa.
Everyone who is funny or tall is patient or quiet.
Everyone who is both not tall and wise is either quiet or generous.
Everyone who is calm is brave or not wise.
If someone is eithe... | John is not creative. | neutral | (![X]:((old(X)|rich(X))<=>~wise(X)))&
(![X]:((strong(X)<~>~calm(X))<=>(~generous(X)|quiet(X))))&
(![X]:((funny(X)|tall(X))=>(patient(X)|quiet(X))))&
(![X]:((~tall(X)&wise(X))=>(quiet(X)<~>generous(X))))&
(![X]:(calm(X)=>(brave(X)|~wise(X))))&
((?[X]:((~wise(X)<~>~funny(X))))<=>((~calm(paul)<~>brave(paul))))&
((?[X]:((~... | ~creative(john) | [] | null | 0 |
Everyone who is not happy or not brave is happy and vice versa.
Everyone who is rich is both not wise and strong.
If someone is tall then susan is both tall and patient and vice versa.
If mary is not rich then someone is either patient or not patient.
If lucy is both funny and not kind then someone is either not tall o... | Mary is calm. | contradiction | (![X]:((~happy(X)|~brave(X))<=>happy(X)))&
(![X]:(rich(X)=>(~wise(X)&strong(X))))&
((?[X]:(tall(X)))<=>((tall(susan)&patient(susan))))&
((~rich(mary))=>(?[X]:((patient(X)<~>~patient(X)))))&
(((funny(lucy)&~kind(lucy)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((strong(X)|~wise(X))<=>(~tall(X)&~generous(X))))&
(![X]:(... | calm(mary) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p9",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 589839746970380781720478
% SZS output start Proof for 589839746970380781720478
1. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> happy(X0)) [input p0]
2. ! [X0] : (rich(X0) => (strong(X0) & ~wise(X0))) [input p1]
3. ? [X0] : tall(X0) <=> (patient(susan) & tall(susan)) [input p2]
5. (~kind(lucy) ... | 0 |
If susan is either tall or not curious then susan is both generous and kind.
Everyone who is not patient is not funny.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not... | John is not funny. | neutral | (((tall(susan)<~>~curious(susan)))=>((generous(susan)&kind(susan))))&
(![X]:(~patient(X)=>~funny(X)))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<... | ~funny(john) | [] | null | 0 |
If someone is not brave then mary is both happy and creative and vice versa. Everyone who is either not strong or not wise is both calm and not quiet and vice versa. If someone is not happy then mary is either calm or not strong and vice versa. Everyone who is rich or quiet is old and vice versa. If someone is not rich... | Fred is not kind. | entailment | ((?[X]:(~brave(X)))<=>((happy(mary)&creative(mary))))&
(![X]:((~strong(X)<~>~wise(X))<=>(calm(X)&~quiet(X))))&
((?[X]:(~happy(X)))<=>((calm(mary)<~>~strong(mary))))&
(![X]:((rich(X)|quiet(X))<=>old(X)))&
((?[X]:(~rich(X)))=>((tall(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~quiet(X))<=>(~tall(X)&kind(X))))&
(![X]:((~wise(X... | ~kind(fred) | [
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9210358390282824379891265
% SZS output start Proof for 9210358390282824379891265
8. ! [X0] : ((creative(X0) <~> kind(X0)) => (creative(X0) | patient(X0))) [input p7]
13. ! [X0] : (patient(X0) => tall(X0)) [input p12]
19. ~creative(fred) & ~tall(fred) [input p18]
25. kind(fred) [input hypo... | 0 |
Everyone who is not creative is not curious. Everyone who is curious is both not curious and rich. If alice is wise then someone is not strong and vice versa. If paul is either generous or not rich then someone is both calm and not curious. Everyone who is both not happy and not patient is either quiet or happy. Everyo... | Lucy is quiet. | entailment | (![X]:(~creative(X)=>~curious(X)))&
(![X]:(curious(X)=>(~curious(X)&rich(X))))&
((wise(alice))<=>(?[X]:(~strong(X))))&
(((generous(paul)<~>~rich(paul)))=>(?[X]:((calm(X)&~curious(X)))))&
(![X]:((~happy(X)&~patient(X))=>(quiet(X)<~>happy(X))))&
(![X]:(~creative(X)<=>(~generous(X)&~wise(X))))&
((?[X]:((~curious(X)&funny(... | quiet(lucy) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 165067826305902940732233
% SZS output start Proof for 165067826305902940732233
2. ! [X0] : (curious(X0) => (rich(X0) & ~curious(X0))) [input p1]
8. ! [X0] : (curious(X0) <=> (~quiet(X0) | generous(X0))) [input p7]
25. ~quiet(lucy) [input hypothesis]
30. ! [X0] : ((rich(X0) & ~curious(X0))... | 0 |
Everyone who is not quiet is either tall or not humble and vice versa.
Everyone who is rich or curious is not happy and vice versa.
If someone is not creative or not patient then susan is not generous.
If paul is kind then someone is either tall or not patient.
Everyone who is not brave is wise.
If someone is both quie... | Paul is not wise. | entailment | (![X]:(~quiet(X)<=>(tall(X)<~>~humble(X))))&
(![X]:((rich(X)|curious(X))<=>~happy(X)))&
((?[X]:((~creative(X)|~patient(X))))=>(~generous(susan)))&
((kind(paul))=>(?[X]:((tall(X)<~>~patient(X)))))&
(![X]:(~brave(X)=>wise(X)))&
((?[X]:((quiet(X)&~brave(X))))=>((~creative(lucy)&~old(lucy))))&
(((rich(paul)|quiet(paul)))<=... | ~wise(paul) | [
"p1",
"p6",
"p10",
"p11",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8437313594696474657899638
% SZS output start Proof for 8437313594696474657899638
2. ! [X0] : ((curious(X0) | rich(X0)) <=> ~happy(X0)) [input p1]
7. (quiet(paul) | rich(paul)) <=> (~calm(paul) <~> funny(paul)) [input p6]
11. ! [X0] : ((~old(X0) & patient(X0)) <=> generous(X0)) [input p10]... | 0 |
If john is happy then someone is not creative.
If fred is either strong or not rich then mary is either not brave or humble and vice versa.
If someone is both wise and curious then john is funny or curious and vice versa.
If someone is both calm and not curious then mary is both not creative and creative and vice versa... | Fred is not calm. | contradiction | ((happy(john))=>(?[X]:(~creative(X))))&
(((strong(fred)<~>~rich(fred)))<=>((~brave(mary)<~>humble(mary))))&
((?[X]:((wise(X)&curious(X))))<=>((funny(john)|curious(john))))&
((?[X]:((calm(X)&~curious(X))))<=>((~creative(mary)&creative(mary))))&
(![X]:((~rich(X)|~happy(X))=>calm(X)))&
(![X]:((~funny(X)|~generous(X))=>~ha... | ~calm(fred) | [
"p4",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4907957828642940892218091
% SZS output start Proof for 4907957828642940892218091
5. ! [X0] : ((~happy(X0) | ~rich(X0)) => calm(X0)) [input p4]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) => ~happy(X0)) [input p5]
18. ~funny(fred) & ~humble(fred) [input p17]
25. ~calm(fred) [input hypothesis... | 0 |
If susan is both tall and not funny then fred is patient or not brave.
If paul is either not curious or creative then mary is either not quiet or not happy and vice versa.
If someone is either not kind or wise then someone is either kind or patient.
Everyone who is brave is funny or not old.
Everyone who is not generou... | Paul is curious. | neutral | (((tall(susan)&~funny(susan)))=>((patient(fred)|~brave(fred))))&
(((~curious(paul)<~>creative(paul)))<=>((~quiet(mary)<~>~happy(mary))))&
((?[X]:((~kind(X)<~>wise(X))))=>(?[X]:((kind(X)<~>patient(X)))))&
(![X]:(brave(X)=>(funny(X)|~old(X))))&
(![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X... | curious(paul) | [] | null | 0 |
If alice is either old or not tall then someone is both patient and not happy.
If someone is not wise or not quiet then john is both calm and creative and vice versa.
Everyone who is both not humble and happy is both not happy and brave.
If mary is not brave then someone is either not happy or strong and vice versa.
Ev... | Mary is not happy. | neutral | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&~happy(X)))))&
((?[X]:((~wise(X)|~quiet(X))))<=>((calm(john)&creative(john))))&
(![X]:((~humble(X)&happy(X))=>(~happy(X)&brave(X))))&
((~brave(mary))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:((brave(X)|~brave(X))<=>strong(X)))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)... | ~happy(mary) | [] | null | 0 |
Everyone who is either brave or kind is either wise or not old and vice versa. Everyone who is either creative or quiet is curious or rich. Everyone who is both not old and not creative is humble. Everyone who is calm is either old or rich and vice versa. Everyone who is not quiet or old is either not funny or not curi... | Lucy is creative. | contradiction | (![X]:((brave(X)<~>kind(X))<=>(wise(X)<~>~old(X))))&
(![X]:((creative(X)<~>quiet(X))=>(curious(X)|rich(X))))&
(![X]:((~old(X)&~creative(X))=>humble(X)))&
(![X]:(calm(X)<=>(old(X)<~>rich(X))))&
(![X]:((~quiet(X)|old(X))<=>(~funny(X)<~>~curious(X))))&
((~funny(mary))=>((calm(paul)&wise(paul))))&
(((patient(john)|tall(joh... | creative(lucy) | [
"p1",
"p4",
"p7",
"p9",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5796080498008279805655753
% SZS output start Proof for 5796080498008279805655753
2. ! [X0] : ((creative(X0) <~> quiet(X0)) => (rich(X0) | curious(X0))) [input p1]
5. ! [X0] : ((old(X0) | ~quiet(X0)) <=> (~funny(X0) <~> ~curious(X0))) [input p4]
8. (~patient(john) & ~old(john)) <=> ? [X0] ... | 0 |
If someone is either not quiet or not humble then lucy is both happy and not curious. If someone is either not quiet or not curious then someone is not curious. Everyone who is both not strong and not quiet is either happy or not rich and vice versa. Everyone who is generous is not quiet or not calm and vice versa. Eve... | Fred is not rich. | contradiction | ((?[X]:((~quiet(X)<~>~humble(X))))=>((happy(lucy)&~curious(lucy))))&
((?[X]:((~quiet(X)<~>~curious(X))))=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)&~quiet(X))<=>(happy(X)<~>~rich(X))))&
(![X]:(generous(X)<=>(~quiet(X)|~calm(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(patient(X)&humble(X))))&
(![X]:((funny(X)|brave(X))<=>calm... | ~rich(fred) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9101630968117054694475180
% SZS output start Proof for 9101630968117054694475180
3. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> (happy(X0) <~> ~rich(X0))) [input p2]
5. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (humble(X0) & patient(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) | humble(X0)) => (~f... | 0 |
If someone is creative or rich then mary is both not funny and brave and vice versa. If fred is either old or strong then john is both patient and curious. If alice is both not funny and humble then fred is curious. If someone is either funny or not patient then paul is both curious and tall and vice versa. Everyone wh... | Mary is quiet. | entailment | ((?[X]:((creative(X)|rich(X))))<=>((~funny(mary)&brave(mary))))&
(((old(fred)<~>strong(fred)))=>((patient(john)&curious(john))))&
(((~funny(alice)&humble(alice)))=>(curious(fred)))&
((?[X]:((funny(X)<~>~patient(X))))<=>((curious(paul)&tall(paul))))&
(![X]:(~calm(X)<=>(brave(X)&~kind(X))))&
(![X]:((humble(X)&tall(X))<=>... | quiet(mary) | [
"p0",
"p4",
"p5",
"p8",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4609405105449581814890958
% SZS output start Proof for 4609405105449581814890958
1. ? [X0] : (rich(X0) | creative(X0)) <=> (brave(mary) & ~funny(mary)) [input p0]
5. ! [X0] : (~calm(X0) <=> (~kind(X0) & brave(X0))) [input p4]
6. ! [X0] : ((tall(X0) & humble(X0)) <=> (kind(X0) | ~creative(... | 0 |
If fred is either not humble or not wise then someone is both brave and not generous.
If someone is either tall or rich then john is kind and vice versa.
If someone is generous then someone is both not brave and not curious and vice versa.
Everyone who is not happy or not brave is either kind or not brave and vice vers... | Mary is brave. | entailment | (((~humble(fred)<~>~wise(fred)))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((tall(X)<~>rich(X))))<=>(kind(john)))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(kind(X)<~>~brave(X))))&
((?[X]:((~humble(X)&~patient(X))))=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((~kind(X)&curi... | brave(mary) | [
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6772896733920638250329028
% SZS output start Proof for 6772896733920638250329028
4. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> (kind(X0) <~> ~brave(X0))) [input p3]
10. ! [X0] : (~strong(X0) <=> (strong(X0) <~> ~generous(X0))) [input p9]
14. generous(paul) <=> ? [X0] : (~kind(X0) | generous(... | 0 |
Everyone who is both not strong and humble is both humble and not humble.
Everyone who is both calm and brave is both brave and old and vice versa.
Everyone who is not strong is either humble or curious.
Everyone who is either kind or calm is either old or not curious.
Everyone who is generous or not calm is tall and v... | Fred is not rich. | neutral | (![X]:((~strong(X)&humble(X))=>(humble(X)&~humble(X))))&
(![X]:((calm(X)&brave(X))<=>(brave(X)&old(X))))&
(![X]:(~strong(X)=>(humble(X)<~>curious(X))))&
(![X]:((kind(X)<~>calm(X))=>(old(X)<~>~curious(X))))&
(![X]:((generous(X)|~calm(X))<=>tall(X)))&
(![X]:((~wise(X)&~happy(X))=>(kind(X)&~calm(X))))&
(![X]:((brave(X)|~g... | ~rich(fred) | [] | null | 0 |
Everyone who is either creative or strong is both curious and not calm. Everyone who is either not wise or not tall is creative. If paul is wise then alice is either not generous or not wise. If someone is not rich or not humble then alice is not strong. If paul is both creative and curious then someone is not rich. Ev... | Alice is old. | entailment | (![X]:((creative(X)<~>strong(X))=>(curious(X)&~calm(X))))&
(![X]:((~wise(X)<~>~tall(X))=>creative(X)))&
((wise(paul))=>((~generous(alice)<~>~wise(alice))))&
((?[X]:((~rich(X)|~humble(X))))=>(~strong(alice)))&
(((creative(paul)&curious(paul)))=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)&happy(X))<=>~strong(X)))&
(((rich(john... | old(alice) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6857700998926906070811408
% SZS output start Proof for 6857700998926906070811408
15. ! [X0] : (~tall(X0) => (old(X0) & strong(X0))) [input p14]
17. ~tall(alice) & quiet(alice) [input p16]
24. ~old(alice) [input hypothesis]
35. ! [X0] : ((old(X0) & strong(X0)) | tall(X0)) [ennf transformat... | 0 |
Everyone who is both not kind and tall is not happy.
If someone is patient then fred is curious or not brave.
Everyone who is funny or kind is either kind or creative.
Everyone who is both tall and quiet is not rich or not funny.
If someone is not calm or not generous then someone is both happy and not patient and vice... | Susan is strong. | neutral | (![X]:((~kind(X)&tall(X))=>~happy(X)))&
((?[X]:(patient(X)))=>((curious(fred)|~brave(fred))))&
(![X]:((funny(X)|kind(X))=>(kind(X)<~>creative(X))))&
(![X]:((tall(X)&quiet(X))=>(~rich(X)|~funny(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((happy(X)&~patient(X)))))&
((?[X]:((creative(X)&generous(X))))<=>(brave(fred)... | strong(susan) | [] | null | 0 |
Everyone who is old or funny is both not generous and not quiet and vice versa.
If lucy is rich then paul is either tall or generous and vice versa.
Everyone who is not brave is patient or wise and vice versa.
If someone is generous then someone is both not humble and not patient and vice versa.
Everyone who is generou... | Mary is not curious. | neutral | (![X]:((old(X)|funny(X))<=>(~generous(X)&~quiet(X))))&
((rich(lucy))<=>((tall(paul)<~>generous(paul))))&
(![X]:(~brave(X)<=>(patient(X)|wise(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((generous(X)|~rich(X))=>(~creative(X)<~>funny(X))))&
(![X]:((rich(X)<~>~humble(X))=>(strong(X)|brave(X)))... | ~curious(mary) | [] | null | 0 |
Everyone who is old is either calm or quiet and vice versa.
Everyone who is both quiet and not wise is not tall and vice versa.
If someone is both not happy and quiet then someone is patient or not brave.
Everyone who is happy or not funny is funny.
Everyone who is not happy or not brave is funny or not calm.
Everyone ... | Alice is not generous. | neutral | (![X]:(old(X)<=>(calm(X)<~>quiet(X))))&
(![X]:((quiet(X)&~wise(X))<=>~tall(X)))&
((?[X]:((~happy(X)&quiet(X))))=>(?[X]:((patient(X)|~brave(X)))))&
(![X]:((happy(X)|~funny(X))=>funny(X)))&
(![X]:((~happy(X)|~brave(X))=>(funny(X)|~calm(X))))&
(![X]:((~wise(X)|~old(X))=>(wise(X)|~strong(X))))&
((?[X]:((~patient(X)|~curiou... | ~generous(alice) | [] | null | 0 |
Everyone who is old is creative or not curious and vice versa.
Everyone who is both not quiet and patient is either kind or not calm and vice versa.
If someone is both not rich and not wise then fred is brave and vice versa.
If lucy is not calm or calm then someone is not wise or tall.
If someone is old or quiet then l... | Paul is kind. | entailment | (![X]:(old(X)<=>(creative(X)|~curious(X))))&
(![X]:((~quiet(X)&patient(X))<=>(kind(X)<~>~calm(X))))&
((?[X]:((~rich(X)&~wise(X))))<=>(brave(fred)))&
(((~calm(lucy)|calm(lucy)))=>(?[X]:((~wise(X)|tall(X)))))&
((?[X]:((old(X)|quiet(X))))=>(~funny(lucy)))&
((?[X]:(wise(X)))=>(?[X]:((kind(X)&~humble(X)))))&
((?[X]:((~funny... | kind(paul) | [
"p1",
"p8",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 707600983796674711863827
% SZS output start Proof for 707600983796674711863827
2. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> (kind(X0) <~> ~calm(X0))) [input p1]
9. ! [X0] : ((~creative(X0) | funny(X0)) <=> ~tall(X0)) [input p8]
15. ~calm(paul) <=> ? [X0] : ~kind(X0) [input p14]
16. ! [X0] ... | 0 |
If someone is either curious or funny then susan is generous and vice versa. If someone is both funny and not quiet then susan is funny or strong and vice versa. Everyone who is both tall and rich is either not generous or creative and vice versa. Everyone who is not generous or brave is either calm or old. If mary is ... | Alice is rich. | entailment | ((?[X]:((curious(X)<~>funny(X))))<=>(generous(susan)))&
((?[X]:((funny(X)&~quiet(X))))<=>((funny(susan)|strong(susan))))&
(![X]:((tall(X)&rich(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((~generous(X)|brave(X))=>(calm(X)<~>old(X))))&
(((brave(mary)|~tall(mary)))=>(~funny(mary)))&
(((generous(mary)<~>creative(mary)))=>... | rich(alice) | [
"p8",
"p13",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7861299426019396038104966
% SZS output start Proof for 7861299426019396038104966
9. ! [X0] : (calm(X0) => (~quiet(X0) & ~wise(X0))) [input p8]
14. (~strong(susan) | ~happy(susan)) => (calm(alice) & ~kind(alice)) [input p13]
16. ? [X0] : (~kind(X0) & ~rich(X0)) <=> (~happy(susan) & ~creati... | 0 |
Everyone who is either not tall or not happy is both wise and not funny. Everyone who is not kind or kind is both happy and old and vice versa. If someone is either brave or not patient then alice is either not kind or not old. Everyone who is not kind is not humble or not happy. Everyone who is either not happy or hap... | Alice is not creative. | neutral | (![X]:((~tall(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
(![X]:((~kind(X)|kind(X))<=>(happy(X)&old(X))))&
((?[X]:((brave(X)<~>~patient(X))))=>((~kind(alice)<~>~old(alice))))&
(![X]:(~kind(X)=>(~humble(X)|~happy(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(~wise(X)&funny(X))))&
((?[X]:(wise(X)))<=>((~quiet(fred)<~>~humble(fred)... | ~creative(alice) | [] | null | 0 |
If lucy is either patient or quiet then lucy is either not strong or creative and vice versa.
If someone is either not funny or not calm then paul is not curious or not rich.
If lucy is funny then someone is rich or curious.
Everyone who is humble is either not quiet or not strong and vice versa.
If someone is both not... | John is quiet. | neutral | (((patient(lucy)<~>quiet(lucy)))<=>((~strong(lucy)<~>creative(lucy))))&
((?[X]:((~funny(X)<~>~calm(X))))=>((~curious(paul)|~rich(paul))))&
((funny(lucy))=>(?[X]:((rich(X)|curious(X)))))&
(![X]:(humble(X)<=>(~quiet(X)<~>~strong(X))))&
((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((creative(X... | quiet(john) | [] | null | 0 |
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