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 someone is both not quiet and generous then someone is both strong and happy. Everyone who is not funny or not creative is not rich or not kind and vice versa. Everyone who is not calm or not happy is both not wise and not brave. Everyone who is patient is wise or strong and vice versa. Everyone who is either rich o... | Alice is humble. | neutral | ((?[X]:((~quiet(X)&generous(X))))=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((~funny(X)|~creative(X))<=>(~rich(X)|~kind(X))))&
(![X]:((~calm(X)|~happy(X))=>(~wise(X)&~brave(X))))&
(![X]:(patient(X)<=>(wise(X)|strong(X))))&
(![X]:((rich(X)<~>curious(X))<=>(~strong(X)<~>humble(X))))&
(![X]:(~humble(X)=>(~calm(X)<~>~funny(X)... | humble(alice) | [] | null | 0 |
Everyone who is happy is both not brave and not kind and vice versa.
If alice is both rich and not patient then fred is both not patient and not tall.
If someone is either old or brave then lucy is funny or strong and vice versa.
If someone is not creative then paul is both not old and patient and vice versa.
If susan ... | Paul is not curious. | contradiction | (![X]:(happy(X)<=>(~brave(X)&~kind(X))))&
(((rich(alice)&~patient(alice)))=>((~patient(fred)&~tall(fred))))&
((?[X]:((old(X)<~>brave(X))))<=>((funny(lucy)|strong(lucy))))&
((?[X]:(~creative(X)))<=>((~old(paul)&patient(paul))))&
(((~patient(susan)|~old(susan)))<=>((~rich(paul)|~quiet(paul))))&
(![X]:((~generous(X)<~>~cr... | ~curious(paul) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3291988799784691832733914
% SZS output start Proof for 3291988799784691832733914
1. ! [X0] : (happy(X0) <=> (~kind(X0) & ~brave(X0))) [input p0]
4. ? [X0] : ~creative(X0) <=> (patient(paul) & ~old(paul)) [input p3]
6. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (curious(X0) & ~creative... | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Mary is not strong. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | ~strong(mary) | [] | null | 0 |
Everyone who is not old or humble is either not tall or not quiet.
If someone is brave or not calm then paul is humble.
Everyone who is either old or funny is not brave.
If someone is happy then someone is either not rich or not quiet.
Everyone who is humble or tall is either brave or not curious.
Everyone who is not c... | Lucy is rich. | entailment | (![X]:((~old(X)|humble(X))=>(~tall(X)<~>~quiet(X))))&
((?[X]:((brave(X)|~calm(X))))=>(humble(paul)))&
(![X]:((old(X)<~>funny(X))=>~brave(X)))&
((?[X]:(happy(X)))=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))=>(brave(X)<~>~curious(X))))&
(![X]:(~creative(X)=>rich(X)))&
(![X]:((~tall(X)<~>~wise(X))<=>(~cu... | rich(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7600435490025086273593029
% SZS output start Proof for 7600435490025086273593029
6. ! [X0] : (~creative(X0) => rich(X0)) [input p5]
16. ! [X0] : ((wise(X0) & ~creative(X0)) <=> (~rich(X0) | ~happy(X0))) [input p15]
23. ~rich(lucy) [input hypothesis]
33. ! [X0] : (rich(X0) | creative(X0)) ... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is either not brave or kind ... | Mary is old. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fre... | old(mary) | [] | null | 0 |
Everyone who is wise or not tall is not kind or not happy and vice versa. Everyone who is either not patient or not kind is brave. If someone is either strong or not quiet then alice is both not strong and not wise and vice versa. Everyone who is brave or strong is humble or curious and vice versa. If fred is either no... | Alice is patient. | neutral | (![X]:((wise(X)|~tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~patient(X)<~>~kind(X))=>brave(X)))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((~strong(alice)&~wise(alice))))&
(![X]:((brave(X)|strong(X))<=>(humble(X)|curious(X))))&
(((~creative(fred)<~>~humble(fred)))<=>((~happy(paul)<~>old(paul))))&
(((~wise(susan)<~>~tall(sus... | patient(alice) | [] | null | 0 |
If fred is either not strong or calm then someone is brave.
If mary is either not wise or not humble then someone is either not rich or not strong and vice versa.
Everyone who is old or not rich is curious.
If mary is both kind and not humble then someone is wise.
Everyone who is happy is either not generous or not cur... | Alice is old. | neutral | (((~strong(fred)<~>calm(fred)))=>(?[X]:(brave(X))))&
(((~wise(mary)<~>~humble(mary)))<=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((old(X)|~rich(X))=>curious(X)))&
(((kind(mary)&~humble(mary)))=>(?[X]:(wise(X))))&
(![X]:(happy(X)<=>(~generous(X)<~>~curious(X))))&
((~rich(paul))=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~... | old(alice) | [] | null | 0 |
If someone is rich or not rich then someone is either not old or strong and vice versa.
Everyone who is tall is patient and vice versa.
If someone is either funny or humble then susan is not happy or not calm.
Everyone who is not quiet or calm is either not humble or calm and vice versa.
If john is both strong and quie... | John is not happy. | contradiction | ((?[X]:((rich(X)|~rich(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(![X]:(tall(X)<=>patient(X)))&
((?[X]:((funny(X)<~>humble(X))))=>((~happy(susan)|~calm(susan))))&
(![X]:((~quiet(X)|calm(X))<=>(~humble(X)<~>calm(X))))&
(((strong(john)&quiet(john)))<=>((~generous(mary)&~kind(mary))))&
(![X]:(happy(X)<=>(rich(X)|~funny(X))... | ~happy(john) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3899293173191194178388379
% SZS output start Proof for 3899293173191194178388379
6. ! [X0] : (happy(X0) <=> (~funny(X0) | rich(X0))) [input p5]
8. ! [X0] : (~happy(X0) <=> (~funny(X0) & ~creative(X0))) [input p7]
23. ~happy(john) [input hypothesis]
45. ! [X0] : ((happy(X0) | (funny(X0) & ... | 0 |
If someone is both curious and patient then someone is either rich or calm and vice versa. Everyone who is both not old and funny is both old and not kind. If someone is not tall then john is either generous or wise and vice versa. Everyone who is both not brave and funny is not patient or funny and vice versa. Everyon... | Mary is happy. | contradiction | ((?[X]:((curious(X)&patient(X))))<=>(?[X]:((rich(X)<~>calm(X)))))&
(![X]:((~old(X)&funny(X))=>(old(X)&~kind(X))))&
((?[X]:(~tall(X)))<=>((generous(john)<~>wise(john))))&
(![X]:((~brave(X)&funny(X))<=>(~patient(X)|funny(X))))&
(![X]:((kind(X)<~>~creative(X))<=>(~kind(X)|~wise(X))))&
(![X]:((~rich(X)<~>wise(X))<=>(quiet(... | happy(mary) | [
"p1",
"p3",
"p9",
"p10",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3367705682526902206545296
% SZS output start Proof for 3367705682526902206545296
2. ! [X0] : ((funny(X0) & ~old(X0)) => (~kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (funny(X0) | ~patient(X0))) [input p3]
10. ! [X0] : ((generous(X0) <~> funny(X0)) => (~creati... | 0 |
Everyone who is both not creative and strong is not rich or not quiet and vice versa.
If fred is both wise and funny then john is either brave or not wise and vice versa.
If lucy is not happy or patient then fred is humble and vice versa.
Everyone who is both tall and old is both generous and not funny.
If john is eith... | Alice is not strong. | entailment | (![X]:((~creative(X)&strong(X))<=>(~rich(X)|~quiet(X))))&
(((wise(fred)&funny(fred)))<=>((brave(john)<~>~wise(john))))&
(((~happy(lucy)|patient(lucy)))<=>(humble(fred)))&
(![X]:((tall(X)&old(X))=>(generous(X)&~funny(X))))&
(((strong(john)<~>~generous(john)))<=>((~curious(alice)<~>calm(alice))))&
(![X]:(wise(X)<=>~humbl... | ~strong(alice) | [
"p0",
"p6",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 718626960760028590990934
% SZS output start Proof for 718626960760028590990934
1. ! [X0] : ((strong(X0) & ~creative(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p0]
7. (rich(lucy) <~> ~curious(lucy)) <=> ? [X0] : (~quiet(X0) | brave(X0)) [input p6]
8. ! [X0] : (strong(X0) => (brave(X0) & ~cu... | 0 |
Everyone who is quiet is not wise.
If someone is both not patient and strong then john is either not happy or not creative and vice versa.
Everyone who is not patient or not generous is creative.
If paul is either not happy or happy then someone is both not funny and not patient.
Everyone who is patient is both not kin... | Fred is tall. | contradiction | (![X]:(quiet(X)=>~wise(X)))&
((?[X]:((~patient(X)&strong(X))))<=>((~happy(john)<~>~creative(john))))&
(![X]:((~patient(X)|~generous(X))=>creative(X)))&
(((~happy(paul)<~>happy(paul)))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:(patient(X)=>(~kind(X)&happy(X))))&
(![X]:((~funny(X)|~old(X))<=>(curious(X)|~old(X))))&
(![X]... | tall(fred) | [
"p0",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3707998072974502653785040
% SZS output start Proof for 3707998072974502653785040
1. ! [X0] : (quiet(X0) => ~wise(X0)) [input p0]
11. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (curious(X0) | ~brave(X0))) [input p10]
13. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> patient(X0)) [input p12]
15.... | 0 |
Everyone who is strong is humble or not strong and vice versa.
If someone is not wise then paul is not rich or not humble and vice versa.
Everyone who is either not curious or generous is both not brave and kind.
If paul is funny then paul is not tall or happy and vice versa.
Everyone who is not old or not happy is bot... | Fred is calm. | contradiction | (![X]:(strong(X)<=>(humble(X)|~strong(X))))&
((?[X]:(~wise(X)))<=>((~rich(paul)|~humble(paul))))&
(![X]:((~curious(X)<~>generous(X))=>(~brave(X)&kind(X))))&
((funny(paul))<=>((~tall(paul)|happy(paul))))&
(![X]:((~old(X)|~happy(X))<=>(calm(X)&~old(X))))&
(![X]:((wise(X)|brave(X))<=>(~strong(X)|happy(X))))&
((?[X]:((~cre... | calm(fred) | [
"p0",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3563778789870022702967969
% SZS output start Proof for 3563778789870022702967969
1. ! [X0] : (strong(X0) <=> (~strong(X0) | humble(X0))) [input p0]
7. ? [X0] : (~creative(X0) <~> ~strong(X0)) => ~calm(fred) [input p6]
22. ~creative(fred) [input p21]
24. calm(fred) [input hypothesis]
30. ~... | 0 |
Everyone who is not calm or generous is calm or generous and vice versa.
If someone is not patient or patient then paul is brave or old.
Everyone who is either not strong or not old is not calm and vice versa.
Everyone who is both not calm and not patient is patient.
If someone is both generous and not funny then someo... | Alice is tall. | contradiction | (![X]:((~calm(X)|generous(X))<=>(calm(X)|generous(X))))&
((?[X]:((~patient(X)|patient(X))))=>((brave(paul)|old(paul))))&
(![X]:((~strong(X)<~>~old(X))<=>~calm(X)))&
(![X]:((~calm(X)&~patient(X))=>patient(X)))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(generous(X))))&
(((strong(mary)<~>~creative(mary)))=>(?[X]:((~calm(... | tall(alice) | [
"p0",
"p6",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 873000780738231193569388
% SZS output start Proof for 873000780738231193569388
1. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (generous(X0) | calm(X0))) [input p0]
7. (~tall(alice) | ~generous(alice)) <=> ? [X0] : (calm(X0) & ~curious(X0)) [input p6]
13. ! [X0] : (creative(X0) <=> wise(X0)) ... | 0 |
Everyone who is both not quiet and not creative is tall or not strong and vice versa.
If fred is creative then susan is not generous.
If lucy is both rich and curious then john is strong and vice versa.
Everyone who is either creative or not patient is old or not brave.
Everyone who is calm or not humble is either crea... | John is not humble. | entailment | (![X]:((~quiet(X)&~creative(X))<=>(tall(X)|~strong(X))))&
((creative(fred))=>(~generous(susan)))&
(((rich(lucy)&curious(lucy)))<=>(strong(john)))&
(![X]:((creative(X)<~>~patient(X))=>(old(X)|~brave(X))))&
(![X]:((calm(X)|~humble(X))=>(creative(X)<~>~happy(X))))&
(![X]:((~rich(X)&curious(X))=>(~patient(X)&~quiet(X))))&
... | ~humble(john) | [
"p7",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3409050605065310574535927
% SZS output start Proof for 3409050605065310574535927
8. ! [X0] : ((brave(X0) & rich(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> generous(X0)) [input p10]
13. ? [X0] : (brave(X0) & kind(X0)) <=> (generous(mary) | ~rich(mary)) [in... | 0 |
Everyone who is funny is not curious and vice versa. If paul is patient then john is not quiet and vice versa. If someone is brave or not quiet then alice is not happy. Everyone who is both not kind and not rich is tall and vice versa. Everyone who is humble or kind is both not calm and patient. If someone is both pati... | Alice is strong. | contradiction | (![X]:(funny(X)<=>~curious(X)))&
((patient(paul))<=>(~quiet(john)))&
((?[X]:((brave(X)|~quiet(X))))=>(~happy(alice)))&
(![X]:((~kind(X)&~rich(X))<=>tall(X)))&
(![X]:((humble(X)|kind(X))=>(~calm(X)&patient(X))))&
((?[X]:((patient(X)&~curious(X))))<=>(patient(alice)))&
(![X]:((~old(X)&~generous(X))=>~patient(X)))&
((?[X]... | strong(alice) | [
"p2",
"p4",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8352885552764934138557842
% SZS output start Proof for 8352885552764934138557842
3. ? [X0] : (~quiet(X0) | brave(X0)) => ~happy(alice) [input p2]
5. ! [X0] : ((kind(X0) | humble(X0)) => (patient(X0) & ~calm(X0))) [input p4]
10. ! [X0] : ((calm(X0) <~> strong(X0)) <=> ~strong(X0)) [input p... | 0 |
Everyone who is not strong or not creative is brave or not old and vice versa.
Everyone who is either not funny or not kind is not kind and vice versa.
If someone is not creative or calm then someone is not old or not brave and vice versa.
Everyone who is both quiet and not curious is either brave or not quiet and vice... | John is strong. | contradiction | (![X]:((~strong(X)|~creative(X))<=>(brave(X)|~old(X))))&
(![X]:((~funny(X)<~>~kind(X))<=>~kind(X)))&
((?[X]:((~creative(X)|calm(X))))<=>(?[X]:((~old(X)|~brave(X)))))&
(![X]:((quiet(X)&~curious(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:((brave(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((kind(X)|~generous(X))=>(~happy(X)|patien... | strong(john) | [
"p1",
"p3",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6181798233236307817213008
% SZS output start Proof for 6181798233236307817213008
2. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> ~kind(X0)) [input p1]
4. ! [X0] : ((~curious(X0) & quiet(X0)) <=> (brave(X0) <~> ~quiet(X0))) [input p3]
12. ! [X0] : ((~strong(X0) <~> funny(X0)) => (~brave(X0) & ... | 0 |
If someone is not humble or creative then mary is both brave and old. If someone is not quiet then mary is both not quiet and kind. If someone is both not old and not humble then alice is not rich. If susan is patient or not old then someone is not funny or humble and vice versa. Everyone who is either humble or not pa... | Mary is quiet. | neutral | ((?[X]:((~humble(X)|creative(X))))=>((brave(mary)&old(mary))))&
((?[X]:(~quiet(X)))=>((~quiet(mary)&kind(mary))))&
((?[X]:((~old(X)&~humble(X))))=>(~rich(alice)))&
(((patient(susan)|~old(susan)))<=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((humble(X)<~>~patient(X))<=>(~funny(X)&happy(X))))&
(((~brave(john)|funny(john)))<... | quiet(mary) | [] | null | 0 |
If someone is either calm or not old then someone is either curious or happy.
Everyone who is both kind and not kind is brave and vice versa.
Everyone who is not funny or funny is wise or not tall and vice versa.
If fred is kind or not funny then john is brave and vice versa.
If someone is creative then john is either ... | John is tall. | contradiction | ((?[X]:((calm(X)<~>~old(X))))=>(?[X]:((curious(X)<~>happy(X)))))&
(![X]:((kind(X)&~kind(X))<=>brave(X)))&
(![X]:((~funny(X)|funny(X))<=>(wise(X)|~tall(X))))&
(((kind(fred)|~funny(fred)))<=>(brave(john)))&
((?[X]:(creative(X)))<=>((generous(john)<~>happy(john))))&
((?[X]:((generous(X)<~>~brave(X))))=>((calm(mary)<~>~qui... | tall(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5498004472837414135771999
% SZS output start Proof for 5498004472837414135771999
15. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (strong(X0) | ~strong(X0))) [input p14]
22. tall(john) [input hypothesis]
56. ! [X0] : (((happy(X0) & ~tall(X0)) | (~strong(X0) & strong(X0))) & ((strong(X0) | ~stron... | 0 |
If someone is not rich or kind then someone is quiet or curious and vice versa. If someone is not generous then fred is both not wise and funny and vice versa. Everyone who is not curious or not calm is either not curious or not patient and vice versa. Everyone who is not generous or wise is not tall or wise. Everyone ... | Fred is strong. | neutral | ((?[X]:((~rich(X)|kind(X))))<=>(?[X]:((quiet(X)|curious(X)))))&
((?[X]:(~generous(X)))<=>((~wise(fred)&funny(fred))))&
(![X]:((~curious(X)|~calm(X))<=>(~curious(X)<~>~patient(X))))&
(![X]:((~generous(X)|wise(X))=>(~tall(X)|wise(X))))&
(![X]:((curious(X)&old(X))<=>strong(X)))&
(![X]:((~patient(X)|funny(X))<=>(quiet(X)&~... | strong(fred) | [] | null | 0 |
Everyone who is not kind or calm is not wise or patient. If someone is not kind then fred is generous and vice versa. If paul is generous then fred is both not quiet and not wise. If susan is humble or strong then mary is either rich or old and vice versa. If someone is patient or generous then mary is either not creat... | Mary is not tall. | neutral | (![X]:((~kind(X)|calm(X))=>(~wise(X)|patient(X))))&
((?[X]:(~kind(X)))<=>(generous(fred)))&
((generous(paul))=>((~quiet(fred)&~wise(fred))))&
(((humble(susan)|strong(susan)))<=>((rich(mary)<~>old(mary))))&
((?[X]:((patient(X)|generous(X))))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((calm(X)&~brave(X))<=>(quiet(X)<... | ~tall(mary) | [] | null | 0 |
Everyone who is both old and not strong is either not brave or old. If john is both tall and rich then someone is not rich and vice versa. Everyone who is either not brave or brave is rich or humble and vice versa. Everyone who is either not funny or not humble is not old or wise. If someone is both generous and not ta... | Alice is kind. | neutral | (![X]:((old(X)&~strong(X))=>(~brave(X)<~>old(X))))&
(((tall(john)&rich(john)))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(rich(X)|humble(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(~old(X)|wise(X))))&
((?[X]:((generous(X)&~tall(X))))=>((~generous(lucy)|patient(lucy))))&
(![X]:((~happy(X)|strong(X))=>~creative(... | kind(alice) | [] | null | 0 |
Everyone who is not creative or not curious is patient and vice versa. If someone is calm or tall then susan is both old and creative and vice versa. Everyone who is not generous is either creative or not rich and vice versa. Everyone who is not generous is not wise. Everyone who is both not curious and not creative is... | Paul is not tall. | contradiction | (![X]:((~creative(X)|~curious(X))<=>patient(X)))&
((?[X]:((calm(X)|tall(X))))<=>((old(susan)&creative(susan))))&
(![X]:(~generous(X)<=>(creative(X)<~>~rich(X))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~curious(X)&~creative(X))<=>~strong(X)))&
((?[X]:(~tall(X)))=>((~humble(mary)|wise(mary))))&
((curious(alice))<=>(?[... | ~tall(paul) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7932354503587216278515651
% SZS output start Proof for 7932354503587216278515651
8. ! [X0] : (~tall(X0) => (~curious(X0) & ~quiet(X0))) [input p7]
17. ~kind(paul) & quiet(paul) [input p16]
23. ~tall(paul) [input hypothesis]
32. ! [X0] : ((~curious(X0) & ~quiet(X0)) | tall(X0)) [ennf trans... | 0 |
Everyone who is either not kind or humble is funny or not calm and vice versa.
If mary is either calm or not kind then someone is both not strong and not calm.
If paul is either curious or quiet then someone is not funny or not humble.
Everyone who is either funny or not wise is both not happy and not brave.
Everyone w... | John is strong. | entailment | (![X]:((~kind(X)<~>humble(X))<=>(funny(X)|~calm(X))))&
(((calm(mary)<~>~kind(mary)))=>(?[X]:((~strong(X)&~calm(X)))))&
(((curious(paul)<~>quiet(paul)))=>(?[X]:((~funny(X)|~humble(X)))))&
(![X]:((funny(X)<~>~wise(X))=>(~happy(X)&~brave(X))))&
(![X]:((strong(X)&~brave(X))=>(quiet(X)|old(X))))&
(![X]:((old(X)<~>curious(X)... | strong(john) | [
"p0",
"p6",
"p7",
"p8",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7563734894769850591593581
% SZS output start Proof for 7563734894769850591593581
1. ! [X0] : ((~kind(X0) <~> humble(X0)) <=> (~calm(X0) | funny(X0))) [input p0]
7. ! [X0] : (~curious(X0) => ~quiet(X0)) [input p6]
8. ! [X0] : (old(X0) => (~wise(X0) & wise(X0))) [input p7]
9. ? [X0] : (brav... | 0 |
Everyone who is not old or generous is patient. Everyone who is both wise and generous is either not quiet or not generous and vice versa. If paul is not old or not curious then fred is not kind or wise. Everyone who is not quiet or not kind is both creative and not old and vice versa. If someone is either not curious ... | Mary is not kind. | entailment | (![X]:((~old(X)|generous(X))=>patient(X)))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)<~>~generous(X))))&
(((~old(paul)|~curious(paul)))=>((~kind(fred)|wise(fred))))&
(![X]:((~quiet(X)|~kind(X))<=>(creative(X)&~old(X))))&
((?[X]:((~curious(X)<~>~brave(X))))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((generous(X)&curious(X))... | ~kind(mary) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 806736324359091296584947
% SZS output start Proof for 806736324359091296584947
1. ! [X0] : ((generous(X0) | ~old(X0)) => patient(X0)) [input p0]
2. ! [X0] : ((generous(X0) & wise(X0)) <=> (~quiet(X0) <~> ~generous(X0))) [input p1]
4. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~old(X0) & crea... | 0 |
If lucy is both rich and quiet then john is not generous.
Everyone who is not brave is old.
Everyone who is both happy and wise is both old and generous and vice versa.
If someone is rich then someone is not humble or not happy and vice versa.
If paul is strong then someone is not wise or brave and vice versa.
Everyone... | Susan is quiet. | contradiction | (((rich(lucy)&quiet(lucy)))=>(~generous(john)))&
(![X]:(~brave(X)=>old(X)))&
(![X]:((happy(X)&wise(X))<=>(old(X)&generous(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~humble(X)|~happy(X)))))&
((strong(paul))<=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:((~generous(X)&~old(X))<=>quiet(X)))&
((?[X]:((~tall(X)&calm(X))))=>(?[X]:((~brave... | quiet(susan) | [
"p1",
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5183985965305600551638677
% SZS output start Proof for 5183985965305600551638677
2. ! [X0] : (~brave(X0) => old(X0)) [input p1]
6. ! [X0] : ((~old(X0) & ~generous(X0)) <=> quiet(X0)) [input p5]
22. ~brave(susan) [input p21]
25. quiet(susan) [input hypothesis]
33. ! [X0] : (old(X0) | brave... | 0 |
If susan is not curious then someone is both calm and not calm and vice versa.
If someone is either patient or strong then someone is tall.
Everyone who is both humble and not curious is either not rich or not quiet.
Everyone who is rich is not quiet and vice versa.
If lucy is both not strong and not old then paul is n... | Alice is humble. | contradiction | ((~curious(susan))<=>(?[X]:((calm(X)&~calm(X)))))&
((?[X]:((patient(X)<~>strong(X))))=>(?[X]:(tall(X))))&
(![X]:((humble(X)&~curious(X))=>(~rich(X)<~>~quiet(X))))&
(![X]:(rich(X)<=>~quiet(X)))&
(((~strong(lucy)&~old(lucy)))<=>((~old(paul)|~curious(paul))))&
(![X]:((calm(X)&~humble(X))<=>humble(X)))&
((?[X]:(quiet(X)))<... | humble(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6326616859511221872132095
% SZS output start Proof for 6326616859511221872132095
6. ! [X0] : ((~humble(X0) & calm(X0)) <=> humble(X0)) [input p5]
22. humble(alice) [input hypothesis]
46. ! [X0] : (((~humble(X0) & calm(X0)) | ~humble(X0)) & (humble(X0) | (humble(X0) | ~calm(X0)))) [nnf tra... | 0 |
Everyone who is both funny and not patient is both not calm and curious.
If alice is calm then john is either creative or not funny.
If someone is quiet then paul is tall and vice versa.
If someone is both quiet and brave then someone is both patient and strong.
If someone is kind or not patient then mary is either str... | Mary is not quiet. | contradiction | (![X]:((funny(X)&~patient(X))=>(~calm(X)&curious(X))))&
((calm(alice))=>((creative(john)<~>~funny(john))))&
((?[X]:(quiet(X)))<=>(tall(paul)))&
((?[X]:((quiet(X)&brave(X))))=>(?[X]:((patient(X)&strong(X)))))&
((?[X]:((kind(X)|~patient(X))))=>((strong(mary)<~>~humble(mary))))&
(![X]:((generous(X)&~tall(X))<=>(curious(X)... | ~quiet(mary) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4040506289327490364795755
% SZS output start Proof for 4040506289327490364795755
13. ! [X0] : ((curious(X0) | old(X0)) <=> (happy(X0) & quiet(X0))) [input p12]
14. ! [X0] : ((humble(X0) & curious(X0)) <=> (~tall(X0) | ~old(X0))) [input p13]
20. ~quiet(mary) [input hypothesis]
58. ! [X0] :... | 0 |
Everyone who is happy or not calm is both not patient and old and vice versa.
If fred is strong or old then someone is not kind.
Everyone who is both not brave and not humble is both not calm and strong.
Everyone who is either not curious or funny is both curious and creative and vice versa.
Everyone who is both not ki... | Mary is not generous. | neutral | (![X]:((happy(X)|~calm(X))<=>(~patient(X)&old(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)&~humble(X))=>(~calm(X)&strong(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)&creative(X))))&
(![X]:((~kind(X)&~curious(X))<=>(~strong(X)&humble(X))))&
(![X]:(patient(X)<=>(brave(X)&~quiet(X))))&... | ~generous(mary) | [] | null | 0 |
Everyone who is quiet is not rich or not old and vice versa. Everyone who is funny or strong is generous. Everyone who is not calm is creative or not old. If someone is not happy then someone is either not brave or not humble and vice versa. If john is either not curious or not patient then susan is not calm. Everyone ... | Alice is not wise. | neutral | (![X]:(quiet(X)<=>(~rich(X)|~old(X))))&
(![X]:((funny(X)|strong(X))=>generous(X)))&
(![X]:(~calm(X)=>(creative(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~curious(john)<~>~patient(john)))=>(~calm(susan)))&
(![X]:((funny(X)|~kind(X))=>(~generous(X)<~>~wise(X))))&
(((~humble(susan)|kind(s... | ~wise(alice) | [] | null | 0 |
Everyone who is kind or not creative is either not wise or rich.
If someone is both brave and funny then lucy is both not generous and humble.
If someone is either not humble or creative then john is both not brave and not strong.
Everyone who is tall or kind is quiet or not rich.
If someone is old then someone is not ... | Mary is quiet. | entailment | (![X]:((kind(X)|~creative(X))=>(~wise(X)<~>rich(X))))&
((?[X]:((brave(X)&funny(X))))=>((~generous(lucy)&humble(lucy))))&
((?[X]:((~humble(X)<~>creative(X))))=>((~brave(john)&~strong(john))))&
(![X]:((tall(X)|kind(X))=>(quiet(X)|~rich(X))))&
((?[X]:(old(X)))=>(?[X]:((~brave(X)|~generous(X)))))&
(((~brave(susan)&happy(su... | quiet(mary) | [
"p0",
"p3",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 163930091828257451288719
% SZS output start Proof for 163930091828257451288719
1. ! [X0] : ((~creative(X0) | kind(X0)) => (~wise(X0) <~> rich(X0))) [input p0]
4. ! [X0] : ((kind(X0) | tall(X0)) => (~rich(X0) | quiet(X0))) [input p3]
9. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> (~curious(X0) &... | 0 |
Everyone who is both not curious and kind is happy and vice versa. If lucy is both brave and humble then someone is creative or not calm. If someone is either curious or creative then susan is either calm or creative. If mary is generous then someone is not brave or not patient and vice versa. Everyone who is either no... | Lucy is rich. | contradiction | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((creative(X)|~calm(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)|patient(X))))&
(![X]:((~tall(X)<~>~calm(X)... | rich(lucy) | [
"p0",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7604811921727406788669822
% SZS output start Proof for 7604811921727406788669822
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
6. ! [X0] : ((~tall(X0) <~> ~calm(X0)) => ~rich(X0)) [input p5]
12. ! [X0] : ((generous(X0) | ~curious(X0)) <=> curious(X0)) [input p11]
13. ! ... | 0 |
Everyone who is both not funny and not kind is either quiet or happy and vice versa.
Everyone who is either patient or not calm is not kind or not curious and vice versa.
If alice is not calm or old then someone is either funny or not tall and vice versa.
If someone is calm or humble then someone is both funny and happ... | John is not brave. | neutral | (![X]:((~funny(X)&~kind(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(~kind(X)|~curious(X))))&
(((~calm(alice)|old(alice)))<=>(?[X]:((funny(X)<~>~tall(X)))))&
((?[X]:((calm(X)|humble(X))))=>(?[X]:((funny(X)&happy(X)))))&
(![X]:(~generous(X)<=>(brave(X)&~kind(X))))&
(((rich(lucy)|humble(lucy)))=>(?[X]... | ~brave(john) | [] | null | 0 |
If someone is not generous then someone is not brave or rich and vice versa.
If fred is generous or not funny then someone is strong or creative.
If paul is either funny or not creative then mary is not creative and vice versa.
Everyone who is quiet is strong.
If someone is either not humble or old then someone is both... | Alice is not creative. | entailment | ((?[X]:(~generous(X)))<=>(?[X]:((~brave(X)|rich(X)))))&
(((generous(fred)|~funny(fred)))=>(?[X]:((strong(X)|creative(X)))))&
(((funny(paul)<~>~creative(paul)))<=>(~creative(mary)))&
(![X]:(quiet(X)=>strong(X)))&
((?[X]:((~humble(X)<~>old(X))))=>(?[X]:((~old(X)&~patient(X)))))&
(![X]:((strong(X)|old(X))<=>(quiet(X)|~old... | ~creative(alice) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8805598145908180581829978
% SZS output start Proof for 8805598145908180581829978
9. ! [X0] : ((creative(X0) | ~humble(X0)) => ~curious(X0)) [input p8]
16. ! [X0] : ((~kind(X0) <~> ~curious(X0)) <=> ~kind(X0)) [input p15]
25. creative(alice) [input hypothesis]
34. ! [X0] : (~curious(X0) | ... | 0 |
Everyone who is rich or patient is both old and not brave and vice versa.
Everyone who is happy is not kind or tall.
Everyone who is not patient or not curious is not creative or not curious and vice versa.
If someone is rich then alice is both generous and funny and vice versa.
Everyone who is old is both not wise and... | John is calm. | contradiction | (![X]:((rich(X)|patient(X))<=>(old(X)&~brave(X))))&
(![X]:(happy(X)=>(~kind(X)|tall(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~creative(X)|~curious(X))))&
((?[X]:(rich(X)))<=>((generous(alice)&funny(alice))))&
(![X]:(old(X)=>(~wise(X)&~calm(X))))&
(((creative(susan)<~>quiet(susan)))=>(?[X]:((quiet(X)<~>wise(X)))))&
(!... | calm(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3028779863397210603738696
% SZS output start Proof for 3028779863397210603738696
16. ? [X0] : (calm(X0) | ~funny(X0)) <=> (quiet(susan) & ~quiet(susan)) [input p15]
25. calm(john) [input hypothesis]
68. (? [X0] : (calm(X0) | ~funny(X0)) | (~quiet(susan) | quiet(susan))) & ((quiet(susan) &... | 0 |
Everyone who is brave is both not rich and funny and vice versa.
Everyone who is brave or happy is curious.
If someone is both rich and not curious then alice is either creative or kind.
Everyone who is not creative is both rich and tall and vice versa.
Everyone who is both quiet and funny is both calm and kind.
Everyo... | Lucy is not rich. | entailment | (![X]:(brave(X)<=>(~rich(X)&funny(X))))&
(![X]:((brave(X)|happy(X))=>curious(X)))&
((?[X]:((rich(X)&~curious(X))))=>((creative(alice)<~>kind(alice))))&
(![X]:(~creative(X)<=>(rich(X)&tall(X))))&
(![X]:((quiet(X)&funny(X))=>(calm(X)&kind(X))))&
(![X]:(~funny(X)=>(brave(X)|old(X))))&
(![X]:(~kind(X)<=>(~humble(X)&old(X))... | ~rich(lucy) | [
"p0",
"p4",
"p5",
"p7",
"p11",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6229313858983776398274842
% SZS output start Proof for 6229313858983776398274842
1. ! [X0] : (brave(X0) <=> (funny(X0) & ~rich(X0))) [input p0]
5. ! [X0] : ((funny(X0) & quiet(X0)) => (kind(X0) & calm(X0))) [input p4]
6. ! [X0] : (~funny(X0) => (old(X0) | brave(X0))) [input p5]
8. ! [X0] ... | 0 |
Everyone who is either tall or calm is either quiet or not humble.
If john is both not kind and creative then someone is both not creative and not kind and vice versa.
Everyone who is brave or wise is old or curious and vice versa.
If someone is both not calm and not humble then alice is creative and vice versa.
Everyo... | John is not creative. | neutral | (![X]:((tall(X)<~>calm(X))=>(quiet(X)<~>~humble(X))))&
(((~kind(john)&creative(john)))<=>(?[X]:((~creative(X)&~kind(X)))))&
(![X]:((brave(X)|wise(X))<=>(old(X)|curious(X))))&
((?[X]:((~calm(X)&~humble(X))))<=>(creative(alice)))&
(![X]:(curious(X)<=>~rich(X)))&
(((~wise(fred)<~>~quiet(fred)))<=>((quiet(john)<~>~calm(joh... | ~creative(john) | [] | null | 0 |
Everyone who is both brave and wise is both not kind and patient. If someone is quiet then someone is both creative and not funny. Everyone who is curious or funny is both curious and not creative and vice versa. If susan is tall then alice is both quiet and tall and vice versa. If someone is not patient or strong then... | Susan is not wise. | neutral | (![X]:((brave(X)&wise(X))=>(~kind(X)&patient(X))))&
((?[X]:(quiet(X)))=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:((curious(X)|funny(X))<=>(curious(X)&~creative(X))))&
((tall(susan))<=>((quiet(alice)&tall(alice))))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:((happy(X)|~tall(X))=>(quie... | ~wise(susan) | [] | null | 0 |
Everyone who is either not strong or generous is both not wise and happy and vice versa. Everyone who is both kind and brave is patient. Everyone who is either not tall or tall is both happy and rich. Everyone who is happy is not curious or quiet. If someone is either generous or not curious then lucy is either tall or... | Susan is kind. | contradiction | (![X]:((~strong(X)<~>generous(X))<=>(~wise(X)&happy(X))))&
(![X]:((kind(X)&brave(X))=>patient(X)))&
(![X]:((~tall(X)<~>tall(X))=>(happy(X)&rich(X))))&
(![X]:(happy(X)=>(~curious(X)|quiet(X))))&
((?[X]:((generous(X)<~>~curious(X))))=>((tall(lucy)<~>humble(lucy))))&
((?[X]:((~happy(X)|~curious(X))))<=>(?[X]:((happy(X)&~f... | kind(susan) | [
"p2",
"p3",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4473066378682183411513287
% SZS output start Proof for 4473066378682183411513287
3. ! [X0] : ((~tall(X0) <~> tall(X0)) => (rich(X0) & happy(X0))) [input p2]
4. ! [X0] : (happy(X0) => (quiet(X0) | ~curious(X0))) [input p3]
6. ? [X0] : (~curious(X0) | ~happy(X0)) <=> ? [X0] : (~funny(X0) & ... | 0 |
If someone is not patient then fred is not happy.
Everyone who is old is happy or not kind and vice versa.
If someone is not calm or tall then someone is either not humble or not strong and vice versa.
Everyone who is not kind is both wise and not strong.
Everyone who is either old or not curious is either not strong o... | Fred is not old. | entailment | ((?[X]:(~patient(X)))=>(~happy(fred)))&
(![X]:(old(X)<=>(happy(X)|~kind(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(wise(X)&~strong(X))))&
(![X]:((old(X)<~>~curious(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>(?[X]:((~brave(X)<~>brave(X))))... | ~old(fred) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8557229986025677664251673
% SZS output start Proof for 8557229986025677664251673
1. ? [X0] : ~patient(X0) => ~happy(fred) [input p0]
2. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p1]
4. ! [X0] : (~kind(X0) => (~strong(X0) & wise(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~curio... | 0 |
If someone is both tall and strong then someone is humble or not humble.
Everyone who is either humble or funny is either not funny or not wise.
If someone is either not wise or not rich then alice is happy and vice versa.
Everyone who is both patient and not humble is either brave or not happy and vice versa.
Everyone... | Fred is old. | neutral | ((?[X]:((tall(X)&strong(X))))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((humble(X)<~>funny(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~wise(X)<~>~rich(X))))<=>(happy(alice)))&
(![X]:((patient(X)&~humble(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~old(X)|~funny(X))=>(~patient(X)<~>~strong(X))))&
(![X]:(~happy(X)=>(~kind(X)&br... | old(fred) | [] | null | 0 |
Everyone who is both not rich and quiet is calm.
Everyone who is either not quiet or humble is either creative or not quiet and vice versa.
Everyone who is both wise and generous is either not generous or patient.
Everyone who is either rich or not wise is both brave and not tall.
Everyone who is both not rich and tall... | Fred is kind. | neutral | (![X]:((~rich(X)&quiet(X))=>calm(X)))&
(![X]:((~quiet(X)<~>humble(X))<=>(creative(X)<~>~quiet(X))))&
(![X]:((wise(X)&generous(X))=>(~generous(X)<~>patient(X))))&
(![X]:((rich(X)<~>~wise(X))=>(brave(X)&~tall(X))))&
(![X]:((~rich(X)&tall(X))<=>(tall(X)&kind(X))))&
(![X]:((tall(X)<~>funny(X))=>(~tall(X)<~>creative(X))))&
... | kind(fred) | [] | null | 0 |
Everyone who is either tall or not patient is either not curious or strong and vice versa. Everyone who is not calm is either not tall or not old. Everyone who is not kind is both quiet and brave and vice versa. If someone is not happy or generous then someone is funny or humble and vice versa. If someone is both curio... | Lucy is not old. | neutral | (![X]:((tall(X)<~>~patient(X))<=>(~curious(X)<~>strong(X))))&
(![X]:(~calm(X)=>(~tall(X)<~>~old(X))))&
(![X]:(~kind(X)<=>(quiet(X)&brave(X))))&
((?[X]:((~happy(X)|generous(X))))<=>(?[X]:((funny(X)|humble(X)))))&
((?[X]:((curious(X)&~humble(X))))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((funny(X)&happy(X))=>humble(X)))... | ~old(lucy) | [] | null | 0 |
If alice is either rich or not calm then someone is both quiet and not patient and vice versa. Everyone who is either happy or not strong is both not brave and not happy. If someone is rich then susan is happy and vice versa. If someone is patient or not curious then someone is creative and vice versa. Everyone who is ... | Lucy is not strong. | contradiction | (((rich(alice)<~>~calm(alice)))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((happy(X)<~>~strong(X))=>(~brave(X)&~happy(X))))&
((?[X]:(rich(X)))<=>(happy(susan)))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|~humble(X))=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~kind(X)&f... | ~strong(lucy) | [
"p2",
"p7",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1122113596645118264504368
% SZS output start Proof for 1122113596645118264504368
3. ? [X0] : rich(X0) <=> happy(susan) [input p2]
8. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (~generous(X0) <~> generous(X0))) [input p7]
9. (patient(paul) & kind(paul)) <=> ? [X0] : (happy(X0) & ~calm(X0)) ... | 0 |
If john is both not creative and happy then fred is either quiet or not curious.
If someone is old or not creative then mary is both not humble and not happy.
Everyone who is either not curious or calm is either not quiet or calm.
If lucy is creative then susan is generous or not generous.
If fred is rich or not creati... | Mary is calm. | entailment | (((~creative(john)&happy(john)))=>((quiet(fred)<~>~curious(fred))))&
((?[X]:((old(X)|~creative(X))))=>((~humble(mary)&~happy(mary))))&
(![X]:((~curious(X)<~>calm(X))=>(~quiet(X)<~>calm(X))))&
((creative(lucy))=>((generous(susan)|~generous(susan))))&
(((rich(fred)|~creative(fred)))=>((kind(lucy)&happy(lucy))))&
(((brave... | calm(mary) | [
"p1",
"p10",
"p11",
"p14",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6197245956337404301400063
% SZS output start Proof for 6197245956337404301400063
2. ? [X0] : (~creative(X0) | old(X0)) => (~happy(mary) & ~humble(mary)) [input p1]
11. ! [X0] : ((~patient(X0) | ~humble(X0)) => (curious(X0) & strong(X0))) [input p10]
12. ? [X0] : (generous(X0) | patient(X0... | 0 |
Everyone who is rich or calm is not old or not funny and vice versa. Everyone who is not kind is both not brave and rich. If someone is either not happy or old then someone is both not strong and humble and vice versa. If someone is not tall then someone is both funny and old. Everyone who is strong or kind is strong o... | Susan is not tall. | contradiction | (![X]:((rich(X)|calm(X))<=>(~old(X)|~funny(X))))&
(![X]:(~kind(X)=>(~brave(X)&rich(X))))&
((?[X]:((~happy(X)<~>old(X))))<=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((strong(X)|kind(X))<=>(strong(X)|creative(X))))&
((?[X]:((~calm(X)&~kind(X))))=>(?[X]:(happy(X))))&
(((gene... | ~tall(susan) | [
"p0",
"p1",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8375546671192274035297668
% SZS output start Proof for 8375546671192274035297668
1. ! [X0] : ((calm(X0) | rich(X0)) <=> (~funny(X0) | ~old(X0))) [input p0]
2. ! [X0] : (~kind(X0) => (rich(X0) & ~brave(X0))) [input p1]
4. ? [X0] : ~tall(X0) => ? [X0] : (old(X0) & funny(X0)) [input p3]
11. ... | 0 |
If someone is both generous and patient then susan is either not brave or not humble.
Everyone who is both not curious and not humble is not old.
If someone is happy or not creative then mary is either humble or generous.
Everyone who is not patient is both calm and kind.
If someone is not kind then fred is generous.
E... | John is creative. | entailment | ((?[X]:((generous(X)&patient(X))))=>((~brave(susan)<~>~humble(susan))))&
(![X]:((~curious(X)&~humble(X))=>~old(X)))&
((?[X]:((happy(X)|~creative(X))))=>((humble(mary)<~>generous(mary))))&
(![X]:(~patient(X)=>(calm(X)&kind(X))))&
((?[X]:(~kind(X)))=>(generous(fred)))&
(![X]:((~humble(X)<~>~funny(X))=>(~quiet(X)&quiet(X)... | creative(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4404809593774124325531239
% SZS output start Proof for 4404809593774124325531239
14. ! [X0] : (creative(X0) <=> (rich(X0) | ~creative(X0))) [input p13]
25. ~creative(john) [input hypothesis]
53. ! [X0] : ((creative(X0) | (~rich(X0) & creative(X0))) & ((rich(X0) | ~creative(X0)) | ~creativ... | 0 |
If fred is not wise or curious then someone is both not tall and humble and vice versa. If lucy is generous then alice is both not creative and not wise and vice versa. If mary is both curious and not rich then someone is both happy and funny and vice versa. Everyone who is either brave or humble is either not patient ... | Alice is not creative. | neutral | (((~wise(fred)|curious(fred)))<=>(?[X]:((~tall(X)&humble(X)))))&
((generous(lucy))<=>((~creative(alice)&~wise(alice))))&
(((curious(mary)&~rich(mary)))<=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((brave(X)<~>humble(X))<=>(~patient(X)<~>wise(X))))&
(![X]:(calm(X)=>(happy(X)|~kind(X))))&
((?[X]:((calm(X)|~tall(X))))=>(?[X]:(... | ~creative(alice) | [] | null | 0 |
Everyone who is either humble or not strong is either not quiet or not rich.
Everyone who is not old is both old and calm.
Everyone who is patient is either not patient or not strong and vice versa.
Everyone who is both not generous and curious is not funny or old.
Everyone who is creative is both happy and not old.
If... | Lucy is strong. | contradiction | (![X]:((humble(X)<~>~strong(X))=>(~quiet(X)<~>~rich(X))))&
(![X]:(~old(X)=>(old(X)&calm(X))))&
(![X]:(patient(X)<=>(~patient(X)<~>~strong(X))))&
(![X]:((~generous(X)&curious(X))=>(~funny(X)|old(X))))&
(![X]:(creative(X)=>(happy(X)&~old(X))))&
((?[X]:((humble(X)&creative(X))))<=>((~funny(paul)&quiet(paul))))&
(![X]:(~ge... | strong(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 626454107427292037346075
% SZS output start Proof for 626454107427292037346075
3. ! [X0] : (patient(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p2]
23. strong(lucy) [input hypothesis]
37. ! [X0] : ((patient(X0) | ((~patient(X0) | strong(X0)) & (~strong(X0) | patient(X0)))) & (((strong(... | 0 |
Everyone who is either not creative or wise is either humble or not generous.
If susan is not old or tall then lucy is not funny.
If someone is not old then mary is not happy or brave.
Everyone who is either humble or old is both not brave and not curious and vice versa.
Everyone who is not generous is not funny and vi... | Lucy is creative. | entailment | (![X]:((~creative(X)<~>wise(X))=>(humble(X)<~>~generous(X))))&
(((~old(susan)|tall(susan)))=>(~funny(lucy)))&
((?[X]:(~old(X)))=>((~happy(mary)|brave(mary))))&
(![X]:((humble(X)<~>old(X))<=>(~brave(X)&~curious(X))))&
(![X]:(~generous(X)<=>~funny(X)))&
(((rich(mary)<~>kind(mary)))=>(?[X]:(~quiet(X))))&
(((~humble(fred)|... | creative(lucy) | [
"p3",
"p4",
"p7",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5705701657060128930140522
% SZS output start Proof for 5705701657060128930140522
4. ! [X0] : ((humble(X0) <~> old(X0)) <=> (~curious(X0) & ~brave(X0))) [input p3]
5. ! [X0] : (~generous(X0) <=> ~funny(X0)) [input p4]
8. ! [X0] : (~creative(X0) => (~humble(X0) <~> ~funny(X0))) [input p7]
1... | 0 |
Everyone who is not brave or generous is either not calm or not old and vice versa.
If someone is both not funny and not curious then someone is either generous or not humble and vice versa.
If someone is both kind and not strong then susan is both not kind and old.
Everyone who is both kind and not patient is either n... | Susan is kind. | neutral | (![X]:((~brave(X)|generous(X))<=>(~calm(X)<~>~old(X))))&
((?[X]:((~funny(X)&~curious(X))))<=>(?[X]:((generous(X)<~>~humble(X)))))&
((?[X]:((kind(X)&~strong(X))))=>((~kind(susan)&old(susan))))&
(![X]:((kind(X)&~patient(X))<=>(~quiet(X)<~>~wise(X))))&
(![X]:((~wise(X)|kind(X))=>(humble(X)<~>funny(X))))&
(![X]:((~rich(X)&... | kind(susan) | [] | null | 0 |
If lucy is not creative or kind then someone is kind or brave and vice versa. Everyone who is either generous or curious is creative. Everyone who is curious is funny or not brave. If mary is not strong then someone is not funny and vice versa. Everyone who is not happy or not brave is either calm or not curious. If so... | Lucy is not brave. | neutral | (((~creative(lucy)|kind(lucy)))<=>(?[X]:((kind(X)|brave(X)))))&
(![X]:((generous(X)<~>curious(X))=>creative(X)))&
(![X]:(curious(X)=>(funny(X)|~brave(X))))&
((~strong(mary))<=>(?[X]:(~funny(X))))&
(![X]:((~happy(X)|~brave(X))=>(calm(X)<~>~curious(X))))&
((?[X]:((humble(X)|patient(X))))<=>(?[X]:((~funny(X)|~kind(X)))))&... | ~brave(lucy) | [] | null | 0 |
Everyone who is not rich is not funny or not strong.
If someone is either not old or not tall then someone is not quiet or not patient and vice versa.
If someone is not curious then paul is either not tall or patient.
If someone is either happy or humble then someone is both not wise and tall and vice versa.
Everyone w... | Fred is patient. | contradiction | (![X]:(~rich(X)=>(~funny(X)|~strong(X))))&
((?[X]:((~old(X)<~>~tall(X))))<=>(?[X]:((~quiet(X)|~patient(X)))))&
((?[X]:(~curious(X)))=>((~tall(paul)<~>patient(paul))))&
((?[X]:((happy(X)<~>humble(X))))<=>(?[X]:((~wise(X)&tall(X)))))&
(![X]:((~brave(X)&~tall(X))<=>(~kind(X)&humble(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=... | patient(fred) | [
"p4",
"p12",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4335215460119414843309142
% SZS output start Proof for 4335215460119414843309142
5. ! [X0] : ((~tall(X0) & ~brave(X0)) <=> (humble(X0) & ~kind(X0))) [input p4]
13. ! [X0] : ((happy(X0) | kind(X0)) <=> (~humble(X0) & ~funny(X0))) [input p12]
23. tall(fred) [input p22]
24. ~patient(fred) | ... | 0 |
Everyone who is either not happy or not tall is quiet or not patient and vice versa.
If alice is happy or strong then someone is both not rich and not humble.
If someone is either wise or tall then someone is either old or not happy.
Everyone who is either not happy or not quiet is both curious and calm and vice versa.... | Susan is kind. | contradiction | (![X]:((~happy(X)<~>~tall(X))<=>(quiet(X)|~patient(X))))&
(((happy(alice)|strong(alice)))=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((wise(X)<~>tall(X))))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((~happy(X)<~>~quiet(X))<=>(curious(X)&calm(X))))&
((?[X]:((strong(X)|~old(X))))<=>(?[X]:((~creative(X)|~brave(X)))))&
((?[X]:(... | kind(susan) | [
"p0",
"p3",
"p9",
"p11",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6281665138677922886633801
% SZS output start Proof for 6281665138677922886633801
1. ! [X0] : ((~happy(X0) <~> ~tall(X0)) <=> (~patient(X0) | quiet(X0))) [input p0]
4. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> (calm(X0) & curious(X0))) [input p3]
10. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~... | 0 |
If mary is not calm or old then someone is creative and vice versa.
Everyone who is curious or not quiet is curious or not humble and vice versa.
If someone is not quiet then someone is kind or humble.
If fred is either wise or not old then someone is either not patient or patient.
Everyone who is not old is both curio... | Paul is not curious. | neutral | (((~calm(mary)|old(mary)))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)|~quiet(X))<=>(curious(X)|~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|humble(X)))))&
(((wise(fred)<~>~old(fred)))=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:(~old(X)=>(curious(X)&kind(X))))&
((?[X]:((brave(X)|~kind(X))))=>((humble(paul)<~>~... | ~curious(paul) | [] | null | 0 |
Everyone who is either not strong or not creative is humble and vice versa.
Everyone who is either calm or not brave is not patient and vice versa.
Everyone who is both not brave and not strong is both not quiet and not wise.
Everyone who is not generous or rich is both tall and not brave.
Everyone who is not happy or ... | Alice is creative. | contradiction | (![X]:((~strong(X)<~>~creative(X))<=>humble(X)))&
(![X]:((calm(X)<~>~brave(X))<=>~patient(X)))&
(![X]:((~brave(X)&~strong(X))=>(~quiet(X)&~wise(X))))&
(![X]:((~generous(X)|rich(X))=>(tall(X)&~brave(X))))&
(![X]:((~happy(X)|funny(X))=>(~patient(X)|kind(X))))&
(![X]:(~strong(X)<=>(patient(X)&~tall(X))))&
(![X]:((~calm(X)... | creative(alice) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 94257408159262384265878
% SZS output start Proof for 94257408159262384265878
2. ! [X0] : ((calm(X0) <~> ~brave(X0)) <=> ~patient(X0)) [input p1]
4. ! [X0] : ((rich(X0) | ~generous(X0)) => (~brave(X0) & tall(X0))) [input p3]
6. ! [X0] : (~strong(X0) <=> (~tall(X0) & patient(X0))) [input p5... | 0 |
If someone is both patient and old then someone is both patient and not brave.
If mary is both rich and wise then susan is both generous and not wise.
If someone is either not tall or kind then someone is strong and vice versa.
Everyone who is not kind is not rich.
Everyone who is tall or not calm is both not happy and... | Susan is old. | neutral | ((?[X]:((patient(X)&old(X))))=>(?[X]:((patient(X)&~brave(X)))))&
(((rich(mary)&wise(mary)))=>((generous(susan)&~wise(susan))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(strong(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((tall(X)|~calm(X))=>(~happy(X)&kind(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~humble(X))))&
(((tall(susan)<~... | old(susan) | [] | null | 0 |
Everyone who is not strong is either curious or funny.
If someone is either quiet or generous then someone is not old or not quiet.
Everyone who is both quiet and not brave is either curious or funny and vice versa.
If someone is either not curious or quiet then someone is both funny and brave.
If someone is funny then... | Fred is curious. | contradiction | (![X]:(~strong(X)=>(curious(X)<~>funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:((quiet(X)&~brave(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((~curious(X)<~>quiet(X))))=>(?[X]:((funny(X)&brave(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((~wise(X)<~>~funn... | curious(fred) | [
"p0",
"p2",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5579856704230087272459461
% SZS output start Proof for 5579856704230087272459461
1. ! [X0] : (~strong(X0) => (curious(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (curious(X0) <~> funny(X0))) [input p2]
6. ! [X0] : ((~wise(X0) <~> ~funny(X0)) <=> ~quiet(X0)) [i... | 0 |
If susan is either quiet or not tall then someone is both calm and funny and vice versa.
Everyone who is both not generous and rich is both brave and not old and vice versa.
Everyone who is not curious is not humble or not funny.
Everyone who is not brave or not curious is either not rich or creative and vice versa.
Ev... | John is not generous. | entailment | (((quiet(susan)<~>~tall(susan)))<=>(?[X]:((calm(X)&funny(X)))))&
(![X]:((~generous(X)&rich(X))<=>(brave(X)&~old(X))))&
(![X]:(~curious(X)=>(~humble(X)|~funny(X))))&
(![X]:((~brave(X)|~curious(X))<=>(~rich(X)<~>creative(X))))&
(![X]:((~brave(X)<~>~quiet(X))=>(~calm(X)|~patient(X))))&
(![X]:(~brave(X)=>(~generous(X)<~>~p... | ~generous(john) | [
"p1",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6687548889746431677543768
% SZS output start Proof for 6687548889746431677543768
2. ! [X0] : ((rich(X0) & ~generous(X0)) <=> (~old(X0) & brave(X0))) [input p1]
12. ! [X0] : ((~brave(X0) | rich(X0)) => ~generous(X0)) [input p11]
16. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (curious(X0) | ~curi... | 0 |
Everyone who is wise or not wise is patient and vice versa.
Everyone who is not kind is not rich.
If john is both not rich and quiet then someone is both not funny and creative and vice versa.
Everyone who is both kind and happy is either not wise or old and vice versa.
Everyone who is not funny is both tall and not br... | Paul is calm. | neutral | (![X]:((wise(X)|~wise(X))<=>patient(X)))&
(![X]:(~kind(X)=>~rich(X)))&
(((~rich(john)&quiet(john)))<=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((kind(X)&happy(X))<=>(~wise(X)<~>old(X))))&
(![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((calm(X)&curious(X))=>(~humble(X)|~funny(X))))&
(![X]:((kind(X)&curious(X))=>~creati... | calm(paul) | [] | null | 0 |
Everyone who is both not rich and not kind is not humble and vice versa. If someone is not curious then someone is either funny or not generous. Everyone who is both not kind and not curious is not patient. Everyone who is both not humble and not creative is either not curious or not patient. Everyone who is old or ric... | Susan is not old. | entailment | (![X]:((~rich(X)&~kind(X))<=>~humble(X)))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)<~>~generous(X)))))&
(![X]:((~kind(X)&~curious(X))=>~patient(X)))&
(![X]:((~humble(X)&~creative(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((old(X)|rich(X))<=>(~rich(X)|strong(X))))&
(((old(alice)&~generous(alice)))=>(?[X]:((old(X)&~creati... | ~old(susan) | [
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4255006837143436570112971
% SZS output start Proof for 4255006837143436570112971
7. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : (funny(X0) => wise(X0)) [input p7]
10. (tall(mary) & ~curious(mary)) <=> ? [X0] : (wise(X0) | old(X0)) [input p9]
11. ! [X0] : (... | 0 |
If someone is not patient then someone is both not rich and not kind.
Everyone who is not calm or generous is both tall and not patient.
If someone is kind then someone is either happy or kind.
If someone is curious then someone is not kind and vice versa.
Everyone who is not generous or kind is not calm.
If someone is... | Mary is not quiet. | neutral | ((?[X]:(~patient(X)))=>(?[X]:((~rich(X)&~kind(X)))))&
(![X]:((~calm(X)|generous(X))=>(tall(X)&~patient(X))))&
((?[X]:(kind(X)))=>(?[X]:((happy(X)<~>kind(X)))))&
((?[X]:(curious(X)))<=>(?[X]:(~kind(X))))&
(![X]:((~generous(X)|kind(X))=>~calm(X)))&
((?[X]:((~patient(X)|brave(X))))<=>((~old(john)<~>~generous(john))))&
(![... | ~quiet(mary) | [] | null | 0 |
Everyone who is not tall or not quiet is not kind or not quiet. If susan is kind then john is wise or not funny and vice versa. Everyone who is not funny is either creative or happy and vice versa. Everyone who is patient or not tall is both not patient and quiet and vice versa. Everyone who is not creative or old is q... | John is quiet. | entailment | (![X]:((~tall(X)|~quiet(X))=>(~kind(X)|~quiet(X))))&
((kind(susan))<=>((wise(john)|~funny(john))))&
(![X]:(~funny(X)<=>(creative(X)<~>happy(X))))&
(![X]:((patient(X)|~tall(X))<=>(~patient(X)&quiet(X))))&
(![X]:((~creative(X)|old(X))=>quiet(X)))&
(((patient(fred)<~>~humble(fred)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:... | quiet(john) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5047116462686419765945737
% SZS output start Proof for 5047116462686419765945737
5. ! [X0] : ((old(X0) | ~creative(X0)) => quiet(X0)) [input p4]
7. ! [X0] : ((~creative(X0) <~> ~calm(X0)) <=> quiet(X0)) [input p6]
9. ! [X0] : ((brave(X0) | calm(X0)) <=> (~creative(X0) & quiet(X0))) [input... | 0 |
If john is wise then someone is both creative and not creative.
Everyone who is both brave and happy is not calm and vice versa.
If alice is either funny or patient then someone is both not strong and creative.
Everyone who is both not patient and patient is rich or funny.
Everyone who is not calm or old is not funny o... | John is not generous. | neutral | ((wise(john))=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((brave(X)&happy(X))<=>~calm(X)))&
(((funny(alice)<~>patient(alice)))=>(?[X]:((~strong(X)&creative(X)))))&
(![X]:((~patient(X)&patient(X))=>(rich(X)|funny(X))))&
(![X]:((~calm(X)|old(X))<=>(~funny(X)|~rich(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(funny(X)&~humbl... | ~generous(john) | [] | null | 0 |
If paul is both not quiet and not tall then someone is both humble and curious and vice versa.
If mary is happy or not happy then lucy is either not tall or not curious and vice versa.
Everyone who is either not calm or not old is not calm and vice versa.
If alice is not curious then john is both not kind and not rich ... | Mary is calm. | neutral | (((~quiet(paul)&~tall(paul)))<=>(?[X]:((humble(X)&curious(X)))))&
(((happy(mary)|~happy(mary)))<=>((~tall(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>~calm(X)))&
((~curious(alice))<=>((~kind(john)&~rich(john))))&
(![X]:((~humble(X)<~>~old(X))<=>(happy(X)|~patient(X))))&
(![X]:((happy(X)|~generous(X))=>(~ca... | calm(mary) | [] | null | 0 |
If paul is either not old or creative then someone is not curious and vice versa.
Everyone who is not brave is both creative and brave.
Everyone who is tall is not brave.
Everyone who is either not strong or rich is both generous and quiet.
If paul is old then susan is both funny and curious.
Everyone who is brave or f... | Alice is not funny. | entailment | (((~old(paul)<~>creative(paul)))<=>(?[X]:(~curious(X))))&
(![X]:(~brave(X)=>(creative(X)&brave(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((~strong(X)<~>rich(X))=>(generous(X)&quiet(X))))&
((old(paul))=>((funny(susan)&curious(susan))))&
(![X]:((brave(X)|funny(X))<=>(~old(X)<~>~brave(X))))&
((?[X]:((~curious(X)|quiet(X))... | ~funny(alice) | [
"p1",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 117629372654731640679923
% SZS output start Proof for 117629372654731640679923
2. ! [X0] : (~brave(X0) => (brave(X0) & creative(X0))) [input p1]
6. ! [X0] : ((funny(X0) | brave(X0)) <=> (~old(X0) <~> ~brave(X0))) [input p5]
9. ! [X0] : (~old(X0) <=> (~funny(X0) & ~wise(X0))) [input p8]
24... | 0 |
Everyone who is either curious or calm is not creative.
Everyone who is not patient or not brave is either humble or generous and vice versa.
If fred is both quiet and rich then mary is both strong and creative.
If susan is either not calm or not rich then john is both not old and not creative and vice versa.
If someon... | John is not happy. | neutral | (![X]:((curious(X)<~>calm(X))=>~creative(X)))&
(![X]:((~patient(X)|~brave(X))<=>(humble(X)<~>generous(X))))&
(((quiet(fred)&rich(fred)))=>((strong(mary)&creative(mary))))&
(((~calm(susan)<~>~rich(susan)))<=>((~old(john)&~creative(john))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((funny(mary)|brave(mary))))&
(![X]:((strong(X... | ~happy(john) | [] | null | 0 |
If mary is both curious and not wise then fred is both tall and curious.
If mary is not calm then mary is both not quiet and not kind and vice versa.
Everyone who is curious or wise is rich or calm.
If someone is not calm or tall then paul is curious and vice versa.
Everyone who is rich is either funny or strong.
If fr... | Fred is brave. | neutral | (((curious(mary)&~wise(mary)))=>((tall(fred)&curious(fred))))&
((~calm(mary))<=>((~quiet(mary)&~kind(mary))))&
(![X]:((curious(X)|wise(X))=>(rich(X)|calm(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(curious(paul)))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((wise(fred)&humble(fred)))=>((~strong(alice)<~>tall(alice))))&
(![... | brave(fred) | [] | null | 0 |
If alice is either not happy or wise then someone is either not old or kind.
If mary is either not happy or quiet then mary is kind.
If someone is generous then someone is either not creative or wise.
If paul is both rich and not strong then mary is both tall and not calm.
If someone is both calm and generous then mary... | Paul is not humble. | neutral | (((~happy(alice)<~>wise(alice)))=>(?[X]:((~old(X)<~>kind(X)))))&
(((~happy(mary)<~>quiet(mary)))=>(kind(mary)))&
((?[X]:(generous(X)))=>(?[X]:((~creative(X)<~>wise(X)))))&
(((rich(paul)&~strong(paul)))=>((tall(mary)&~calm(mary))))&
((?[X]:((calm(X)&generous(X))))=>((curious(mary)<~>creative(mary))))&
(![X]:((kind(X)|ri... | ~humble(paul) | [] | null | 0 |
Everyone who is not wise or brave is not kind.
Everyone who is either happy or tall is both rich and curious.
Everyone who is not calm or not humble is both happy and wise.
Everyone who is either not tall or not happy is both generous and creative and vice versa.
If someone is both quiet and creative then alice is not ... | Alice is curious. | neutral | (![X]:((~wise(X)|brave(X))=>~kind(X)))&
(![X]:((happy(X)<~>tall(X))=>(rich(X)&curious(X))))&
(![X]:((~calm(X)|~humble(X))=>(happy(X)&wise(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>(generous(X)&creative(X))))&
((?[X]:((quiet(X)&creative(X))))=>(~patient(alice)))&
(![X]:((rich(X)|~strong(X))<=>(happy(X)&brave(X))))&
(![X]:(... | curious(alice) | [] | null | 0 |
Everyone who is either not rich or not calm is not brave or not rich and vice versa.
Everyone who is not old or wise is either wise or not patient and vice versa.
If someone is not happy then alice is both not tall and not happy.
Everyone who is calm is both patient and not patient and vice versa.
If someone is both cu... | Paul is not brave. | entailment | (![X]:((~rich(X)<~>~calm(X))<=>(~brave(X)|~rich(X))))&
(![X]:((~old(X)|wise(X))<=>(wise(X)<~>~patient(X))))&
((?[X]:(~happy(X)))=>((~tall(alice)&~happy(alice))))&
(![X]:(calm(X)<=>(patient(X)&~patient(X))))&
((?[X]:((curious(X)&calm(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
((curious(paul))<=>((~kind(alice)<~>~humble(a... | ~brave(paul) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3843515931001467144804183
% SZS output start Proof for 3843515931001467144804183
1. ! [X0] : ((~rich(X0) <~> ~calm(X0)) <=> (~rich(X0) | ~brave(X0))) [input p0]
4. ! [X0] : (calm(X0) <=> (~patient(X0) & patient(X0))) [input p3]
23. brave(paul) [input hypothesis]
34. ! [X0] : ((((calm(X0) ... | 0 |
If john is both not old and not calm then susan is either not quiet or generous.
Everyone who is not quiet or not curious is not wise and vice versa.
Everyone who is curious or old is not creative or wise and vice versa.
If susan is either calm or not brave then someone is patient or not tall.
If someone is both old an... | Paul is rich. | neutral | (((~old(john)&~calm(john)))=>((~quiet(susan)<~>generous(susan))))&
(![X]:((~quiet(X)|~curious(X))<=>~wise(X)))&
(![X]:((curious(X)|old(X))<=>(~creative(X)|wise(X))))&
(((calm(susan)<~>~brave(susan)))=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((old(X)&~kind(X))))=>(~generous(mary)))&
(![X]:((~brave(X)&kind(X))<=>(creativ... | rich(paul) | [] | null | 0 |
If fred is calm then fred is both humble and not tall.
Everyone who is either calm or not rich is not tall or not generous.
Everyone who is either not calm or quiet is either generous or not tall and vice versa.
If lucy is both not strong and not rich then fred is either quiet or funny.
If fred is both kind and not cur... | Fred is generous. | entailment | ((calm(fred))=>((humble(fred)&~tall(fred))))&
(![X]:((calm(X)<~>~rich(X))=>(~tall(X)|~generous(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(generous(X)<~>~tall(X))))&
(((~strong(lucy)&~rich(lucy)))=>((quiet(fred)<~>funny(fred))))&
(((kind(fred)&~curious(fred)))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((~happy(X)<~>~brave(X))=>(... | generous(fred) | [
"p0",
"p2",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 54944003279579615082921
% SZS output start Proof for 54944003279579615082921
1. calm(fred) => (~tall(fred) & humble(fred)) [input p0]
3. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> (generous(X0) <~> ~tall(X0))) [input p2]
8. ! [X0] : (kind(X0) <=> (calm(X0) | ~kind(X0))) [input p7]
23. quiet(... | 0 |
Everyone who is brave is not calm and vice versa.
Everyone who is kind is not tall or curious.
Everyone who is either kind or not patient is strong.
If someone is either humble or not humble then alice is both happy and old and vice versa.
Everyone who is not generous or not kind is both not quiet and calm and vice ver... | Fred is humble. | entailment | (![X]:(brave(X)<=>~calm(X)))&
(![X]:(kind(X)=>(~tall(X)|curious(X))))&
(![X]:((kind(X)<~>~patient(X))=>strong(X)))&
((?[X]:((humble(X)<~>~humble(X))))<=>((happy(alice)&old(alice))))&
(![X]:((~generous(X)|~kind(X))<=>(~quiet(X)&calm(X))))&
(![X]:((~calm(X)|patient(X))<=>(~strong(X)|calm(X))))&
(![X]:((~patient(X)<~>calm... | humble(fred) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2525619420658105333130715
% SZS output start Proof for 2525619420658105333130715
1. ! [X0] : (brave(X0) <=> ~calm(X0)) [input p0]
3. ! [X0] : ((kind(X0) <~> ~patient(X0)) => strong(X0)) [input p2]
5. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (calm(X0) & ~quiet(X0))) [input p4]
6. ! [X0] :... | 0 |
If someone is either not rich or patient then fred is happy or curious and vice versa.
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm... | Fred is creative. | contradiction | ((?[X]:((~rich(X)<~>patient(X))))<=>((happy(fred)|curious(fred))))&
(![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X)... | creative(fred) | [
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7033065204927155991397229
% SZS output start Proof for 7033065204927155991397229
7. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~tall(X0) <~> wise(X0))) [input p7]
10. ! [X0] : ((~tall(X0) & happy(X0)) <=> (~wise(... | 0 |
Everyone who is both creative and not happy is either patient or creative and vice versa.
If someone is both not funny and not tall then someone is not funny and vice versa.
Everyone who is not happy is both old and not kind and vice versa.
If someone is wise then someone is either not curious or not happy and vice ver... | Mary is happy. | neutral | (![X]:((creative(X)&~happy(X))<=>(patient(X)<~>creative(X))))&
((?[X]:((~funny(X)&~tall(X))))<=>(?[X]:(~funny(X))))&
(![X]:(~happy(X)<=>(old(X)&~kind(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~curious(X)<~>~happy(X)))))&
(((generous(mary)|~wise(mary)))=>(?[X]:((happy(X)<~>~funny(X)))))&
(((wise(paul)&quiet(paul)))=>(?[X]:((ri... | happy(mary) | [] | null | 0 |
Everyone who is either funny or calm is both tall and not happy. Everyone who is not kind or not brave is either brave or calm and vice versa. Everyone who is generous or happy is tall or quiet and vice versa. If susan is patient then someone is not funny. Everyone who is not tall or not old is not funny or funny and v... | Mary is not calm. | contradiction | (![X]:((funny(X)<~>calm(X))=>(tall(X)&~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>(brave(X)<~>calm(X))))&
(![X]:((generous(X)|happy(X))<=>(tall(X)|quiet(X))))&
((patient(susan))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~old(X))<=>(~funny(X)|funny(X))))&
(((~calm(mary)&~humble(mary)))<=>(wise(fred)))&
(![X]:((strong(X)<~>... | ~calm(mary) | [
"p0",
"p1",
"p10",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6440148129230885128175826
% SZS output start Proof for 6440148129230885128175826
1. ! [X0] : ((funny(X0) <~> calm(X0)) => (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~kind(X0)) <=> (brave(X0) <~> calm(X0))) [input p1]
11. ! [X0] : ((~patient(X0) | ~humble(X0)) <=> (~fun... | 0 |
Everyone who is not strong is both kind and strong.
If susan is both rich and funny then someone is both patient and not kind and vice versa.
If someone is humble then john is funny.
If john is either wise or generous then someone is brave or old and vice versa.
If alice is not happy then someone is not patient.
Everyo... | Susan is brave. | entailment | (![X]:(~strong(X)=>(kind(X)&strong(X))))&
(((rich(susan)&funny(susan)))<=>(?[X]:((patient(X)&~kind(X)))))&
((?[X]:(humble(X)))=>(funny(john)))&
(((wise(john)<~>generous(john)))<=>(?[X]:((brave(X)|old(X)))))&
((~happy(alice))=>(?[X]:(~patient(X))))&
(![X]:(funny(X)=>(~humble(X)&happy(X))))&
(![X]:((~brave(X)<~>old(X))=>... | brave(susan) | [
"p0",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1122653292741394684994135
% SZS output start Proof for 1122653292741394684994135
1. ! [X0] : (~strong(X0) => (strong(X0) & kind(X0))) [input p0]
7. ! [X0] : ((~brave(X0) <~> old(X0)) => (brave(X0) & curious(X0))) [input p6]
15. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> ~old(X0)) [input p... | 0 |
Everyone who is quiet or generous is not tall or not generous and vice versa.
If lucy is both quiet and happy then lucy is patient and vice versa.
If someone is not strong or not funny then mary is calm.
Everyone who is kind is creative or funny and vice versa.
Everyone who is both curious and rich is both not rich and... | John is not creative. | neutral | (![X]:((quiet(X)|generous(X))<=>(~tall(X)|~generous(X))))&
(((quiet(lucy)&happy(lucy)))<=>(patient(lucy)))&
((?[X]:((~strong(X)|~funny(X))))=>(calm(mary)))&
(![X]:(kind(X)<=>(creative(X)|funny(X))))&
(![X]:((curious(X)&rich(X))<=>(~rich(X)&creative(X))))&
((?[X]:((quiet(X)&old(X))))<=>(?[X]:((~tall(X)<~>~humble(X)))))&... | ~creative(john) | [] | null | 0 |
If someone is creative then mary is not patient or not creative.
Everyone who is not tall is not creative.
Everyone who is not brave is not rich or not brave and vice versa.
Everyone who is not quiet or not creative is rich or not happy.
If someone is strong or not wise then someone is either not curious or not tall.
E... | Susan is not curious. | neutral | ((?[X]:(creative(X)))=>((~patient(mary)|~creative(mary))))&
(![X]:(~tall(X)=>~creative(X)))&
(![X]:(~brave(X)<=>(~rich(X)|~brave(X))))&
(![X]:((~quiet(X)|~creative(X))=>(rich(X)|~happy(X))))&
((?[X]:((strong(X)|~wise(X))))=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:(happy(X)<=>(brave(X)<~>kind(X))))&
(![X]:((patient(X)... | ~curious(susan) | [] | null | 0 |
Everyone who is humble or not rich is both not brave and not generous and vice versa. Everyone who is both wise and patient is strong. If alice is curious or humble then john is tall and vice versa. If someone is either patient or rich then john is calm and vice versa. Everyone who is either not wise or not rich is not... | Mary is not humble. | entailment | (![X]:((humble(X)|~rich(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&patient(X))=>strong(X)))&
(((curious(alice)|humble(alice)))<=>(tall(john)))&
((?[X]:((patient(X)<~>rich(X))))<=>(calm(john)))&
(![X]:((~wise(X)<~>~rich(X))<=>~creative(X)))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=... | ~humble(mary) | [
"p0",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 587514121597361814779510
% SZS output start Proof for 587514121597361814779510
1. ! [X0] : ((~rich(X0) | humble(X0)) <=> (~generous(X0) & ~brave(X0))) [input p0]
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> wise(X0)) [input p6]... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not quiet or not happy is either not happy or not calm.
If john is old then mary is calm or brave.
If someone is brave or calm then someone is both not calm and not quiet.
Everyone who is generous is either not curious or not calm.
Ever... | Mary is old. | entailment | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~happy(X)<~>~calm(X))))&
((old(john))=>((calm(mary)|brave(mary))))&
((?[X]:((brave(X)|calm(X))))=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(generous(X)=>(~curious(X)<~>~calm(X))))&
(![X]:(~old(X)=>creative(X)))&
(![X]:((~curious(X)&~calm(X))<=>(... | old(mary) | [
"p0",
"p5",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8879357163435069621458770
% SZS output start Proof for 8879357163435069621458770
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~generous(X0)) [input p0]
6. ! [X0] : (~old(X0) => creative(X0)) [input p5]
10. ! [X0] : (generous(X0) <=> (~happy(X0) | rich(X0))) [input p9]
14. ! [X0] : ((~happy(... | 0 |
Everyone who is brave or not old is kind or strong and vice versa.
Everyone who is funny or not generous is patient or not humble.
If alice is brave then fred is not wise and vice versa.
Everyone who is not happy is not strong or not calm and vice versa.
If mary is either old or not quiet then john is both not old and ... | Susan is happy. | neutral | (![X]:((brave(X)|~old(X))<=>(kind(X)|strong(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)|~humble(X))))&
((brave(alice))<=>(~wise(fred)))&
(![X]:(~happy(X)<=>(~strong(X)|~calm(X))))&
(((old(mary)<~>~quiet(mary)))=>((~old(john)&~curious(john))))&
((curious(paul))<=>((calm(susan)|~patient(susan))))&
(![X]:((~calm(X)... | happy(susan) | [] | null | 0 |
Everyone who is either creative or not kind is both not creative and not humble. If mary is quiet then someone is quiet or not tall. Everyone who is either not happy or not kind is calm or not patient. Everyone who is either not funny or creative is not creative and vice versa. Everyone who is either not rich or not ha... | Susan is not creative. | contradiction | (![X]:((creative(X)<~>~kind(X))=>(~creative(X)&~humble(X))))&
((quiet(mary))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~happy(X)<~>~kind(X))=>(calm(X)|~patient(X))))&
(![X]:((~funny(X)<~>creative(X))<=>~creative(X)))&
(![X]:((~rich(X)<~>~happy(X))=>rich(X)))&
(![X]:((~strong(X)|rich(X))<=>(calm(X)&quiet(X))))&
((?[X]:((~... | ~creative(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4635629288006533044529949
% SZS output start Proof for 4635629288006533044529949
9. ! [X0] : (creative(X0) <=> (~creative(X0) | ~generous(X0))) [input p8]
22. ~creative(susan) [input hypothesis]
44. ! [X0] : ((creative(X0) | (creative(X0) & generous(X0))) & ((~creative(X0) | ~generous(X0)... | 0 |
Everyone who is either tall or not quiet is quiet or not curious and vice versa. Everyone who is either not old or not strong is not humble. If alice is rich or not calm then someone is not calm or wise. Everyone who is both not tall and happy is either curious or not generous and vice versa. If someone is not patient ... | Mary is curious. | contradiction | (![X]:((tall(X)<~>~quiet(X))<=>(quiet(X)|~curious(X))))&
(![X]:((~old(X)<~>~strong(X))=>~humble(X)))&
(((rich(alice)|~calm(alice)))=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((~tall(X)&happy(X))<=>(curious(X)<~>~generous(X))))&
((?[X]:(~patient(X)))<=>(brave(mary)))&
(![X]:(old(X)<=>(~old(X)&curious(X))))&
(![X]:(happy(X)<=... | curious(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 531287498519382709179280
% SZS output start Proof for 531287498519382709179280
6. ! [X0] : (old(X0) <=> (curious(X0) & ~old(X0))) [input p5]
23. curious(mary) [input hypothesis]
46. ! [X0] : ((old(X0) | (~curious(X0) | old(X0))) & ((curious(X0) & ~old(X0)) | ~old(X0))) [nnf transformation... | 0 |
If fred is both generous and not creative then someone is happy and vice versa. Everyone who is both not calm and quiet is either quiet or rich. If fred is either not curious or strong then someone is old or not curious. If someone is curious then mary is both not old and generous and vice versa. Everyone who is not cu... | Fred is not generous. | entailment | (((generous(fred)&~creative(fred)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&quiet(X))=>(quiet(X)<~>rich(X))))&
(((~curious(fred)<~>strong(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(... | ~generous(fred) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 682097599237220267478839
% SZS output start Proof for 682097599237220267478839
4. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p4]
8. ! [X0] : (~old(X0) => (~calm(X0) & ~generous(X0))) [input p7]
20. gen... | 0 |
If someone is both not old and calm then someone is generous. If susan is not brave then lucy is both not wise and not kind and vice versa. If susan is both not rich and not calm then someone is both not calm and quiet. If someone is kind or not patient then john is not curious or not tall and vice versa. Everyone who ... | Paul is funny. | entailment | ((?[X]:((~old(X)&calm(X))))=>(?[X]:(generous(X))))&
((~brave(susan))<=>((~wise(lucy)&~kind(lucy))))&
(((~rich(susan)&~calm(susan)))=>(?[X]:((~calm(X)&quiet(X)))))&
((?[X]:((kind(X)|~patient(X))))<=>((~curious(john)|~tall(john))))&
(![X]:((quiet(X)&~creative(X))<=>(~rich(X)&~wise(X))))&
(![X]:(~generous(X)<=>(~generous(... | funny(paul) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8657284007856491805116084
% SZS output start Proof for 8657284007856491805116084
6. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> curious(X0))) [input p5]
11. ! [X0] : ((funny(X0) & curious(X0)) <=> (~funny(X0) <~> curious(X0))) [input p10]
23. ~funny(paul) [input hypothesis]
52. ! [X0] ... | 0 |
If someone is happy or not happy then fred is not wise or not strong and vice versa.
Everyone who is either patient or wise is not generous and vice versa.
If someone is generous then alice is not old or wise and vice versa.
Everyone who is not strong or rich is not happy or patient.
Everyone who is not old or patient ... | Alice is not kind. | entailment | ((?[X]:((happy(X)|~happy(X))))<=>((~wise(fred)|~strong(fred))))&
(![X]:((patient(X)<~>wise(X))<=>~generous(X)))&
((?[X]:(generous(X)))<=>((~old(alice)|wise(alice))))&
(![X]:((~strong(X)|rich(X))=>(~happy(X)|patient(X))))&
(![X]:((~old(X)|patient(X))<=>humble(X)))&
(![X]:(~wise(X)<=>(strong(X)<~>~kind(X))))&
(![X]:((pat... | ~kind(alice) | [
"p1",
"p5",
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 79224395919723504104889
% SZS output start Proof for 79224395919723504104889
2. ! [X0] : ((patient(X0) <~> wise(X0)) <=> ~generous(X0)) [input p1]
6. ! [X0] : (~wise(X0) <=> (strong(X0) <~> ~kind(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & patient(X0)) <=> ~generous(X0)) [input p6]
15.... | 0 |
If fred is calm or creative then fred is both not curious and not calm and vice versa. Everyone who is not patient or not curious is not humble or not curious and vice versa. If fred is not calm or not old then someone is either not humble or strong. If fred is either curious or rich then someone is tall and vice versa... | Lucy is not patient. | contradiction | (((calm(fred)|creative(fred)))<=>((~curious(fred)&~calm(fred))))&
(![X]:((~patient(X)|~curious(X))<=>(~humble(X)|~curious(X))))&
(((~calm(fred)|~old(fred)))=>(?[X]:((~humble(X)<~>strong(X)))))&
(((curious(fred)<~>rich(fred)))<=>(?[X]:(tall(X))))&
(((brave(john)<~>wise(john)))=>(?[X]:((~tall(X)|~calm(X)))))&
((?[X]:((~r... | ~patient(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2791177026715931017965634
% SZS output start Proof for 2791177026715931017965634
20. patient(lucy) & ~humble(lucy) [input p19]
25. ~patient(lucy) [input hypothesis]
148. patient(lucy) [cnf transformation 20]
155. ~patient(lucy) [cnf transformation 25]
337. $false [subsumption resolution 1... | 0 |
If someone is either not rich or not quiet then john is both not calm and strong.
Everyone who is both creative and quiet is happy and vice versa.
Everyone who is kind or creative is either not old or not curious.
Everyone who is patient or wise is creative or humble and vice versa.
If alice is creative or not funny th... | Paul is brave. | entailment | ((?[X]:((~rich(X)<~>~quiet(X))))=>((~calm(john)&strong(john))))&
(![X]:((creative(X)&quiet(X))<=>happy(X)))&
(![X]:((kind(X)|creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((patient(X)|wise(X))<=>(creative(X)|humble(X))))&
(((creative(alice)|~funny(alice)))<=>((calm(paul)|kind(paul))))&
(![X]:(strong(X)<=>(~brave(X)<~>... | brave(paul) | [
"p5",
"p6",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6012489149342753929847278
% SZS output start Proof for 6012489149342753929847278
6. ! [X0] : (strong(X0) <=> (~brave(X0) <~> calm(X0))) [input p5]
7. ! [X0] : (~old(X0) => (~calm(X0) & calm(X0))) [input p6]
11. ! [X0] : (old(X0) => kind(X0)) [input p10]
13. ! [X0] : ((happy(X0) | ~strong(... | 0 |
If someone is kind or brave then someone is not strong or not funny.
If mary is both brave and patient then alice is both not generous and not quiet.
Everyone who is either generous or not curious is both not humble and creative and vice versa.
If susan is both not humble and calm then susan is funny or calm and vice v... | Lucy is quiet. | neutral | ((?[X]:((kind(X)|brave(X))))=>(?[X]:((~strong(X)|~funny(X)))))&
(((brave(mary)&patient(mary)))=>((~generous(alice)&~quiet(alice))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)&creative(X))))&
(((~humble(susan)&calm(susan)))<=>((funny(susan)|calm(susan))))&
(![X]:(~patient(X)<=>~happy(X)))&
((~quiet(fred))<=>(?[X]... | quiet(lucy) | [] | null | 0 |
If susan is both not happy and curious then paul is either calm or happy.
Everyone who is patient is not tall and vice versa.
Everyone who is both not brave and not happy is not patient and vice versa.
Everyone who is tall is both not strong and not curious and vice versa.
If fred is tall or happy then someone is both ... | Alice is not generous. | contradiction | (((~happy(susan)&curious(susan)))=>((calm(paul)<~>happy(paul))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~brave(X)&~happy(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(~strong(X)&~curious(X))))&
(((tall(fred)|happy(fred)))<=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)|~calm(X))))&
((?[X]:((... | ~generous(alice) | [
"p1",
"p3",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 940623525768443736397643
% SZS output start Proof for 940623525768443736397643
2. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p1]
4. ! [X0] : (tall(X0) <=> (~curious(X0) & ~strong(X0))) [input p3]
10. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> tall(X0)) [input p9]
11. ? [X0] : ~generous(... | 0 |
Everyone who is not generous is curious.
If susan is not happy or old then someone is not humble and vice versa.
Everyone who is both tall and kind is both generous and rich and vice versa.
If john is rich then lucy is both not funny and not rich and vice versa.
Everyone who is calm or humble is both creative and tall ... | Fred is creative. | entailment | (![X]:(~generous(X)=>curious(X)))&
(((~happy(susan)|old(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((tall(X)&kind(X))<=>(generous(X)&rich(X))))&
((rich(john))<=>((~funny(lucy)&~rich(lucy))))&
(![X]:((calm(X)|humble(X))<=>(creative(X)&tall(X))))&
(((creative(alice)<~>~calm(alice)))=>((~tall(paul)|generous(paul))))&
(![X]:(s... | creative(fred) | [
"p4",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4057021043580426978164882
% SZS output start Proof for 4057021043580426978164882
5. ! [X0] : ((humble(X0) | calm(X0)) <=> (tall(X0) & creative(X0))) [input p4]
9. ! [X0] : ((old(X0) | ~calm(X0)) => brave(X0)) [input p8]
10. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> rich(X0)) [input p9]
15. ! ... | 0 |
If alice is funny or not generous then someone is either not happy or not quiet.
Everyone who is either not generous or not humble is either not quiet or creative.
Everyone who is not calm or not old is both not calm and calm and vice versa.
Everyone who is both old and kind is not generous and vice versa.
If john is b... | John is kind. | entailment | (((funny(alice)|~generous(alice)))=>(?[X]:((~happy(X)<~>~quiet(X)))))&
(![X]:((~generous(X)<~>~humble(X))=>(~quiet(X)<~>creative(X))))&
(![X]:((~calm(X)|~old(X))<=>(~calm(X)&calm(X))))&
(![X]:((old(X)&kind(X))<=>~generous(X)))&
(((strong(john)&~happy(john)))=>(?[X]:((~calm(X)&~wise(X)))))&
(![X]:((curious(X)|happy(X))<... | kind(john) | [
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6767779066482884970432397
% SZS output start Proof for 6767779066482884970432397
3. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (calm(X0) & ~calm(X0))) [input p2]
4. ! [X0] : ((kind(X0) & old(X0)) <=> ~generous(X0)) [input p3]
13. ? [X0] : (~generous(X0) <~> calm(X0)) <=> (patient(paul) & ~patie... | 0 |
If paul is not patient or calm then susan is either humble or not quiet.
If someone is either not old or brave then alice is rich or not brave.
Everyone who is humble is both not rich and wise.
Everyone who is not old or not calm is not brave or not funny.
If susan is not patient then fred is calm and vice versa.
If so... | Lucy is not brave. | neutral | (((~patient(paul)|calm(paul)))=>((humble(susan)<~>~quiet(susan))))&
((?[X]:((~old(X)<~>brave(X))))=>((rich(alice)|~brave(alice))))&
(![X]:(humble(X)=>(~rich(X)&wise(X))))&
(![X]:((~old(X)|~calm(X))=>(~brave(X)|~funny(X))))&
((~patient(susan))<=>(calm(fred)))&
((?[X]:((~rich(X)&patient(X))))=>(?[X]:((patient(X)<~>~old(X... | ~brave(lucy) | [] | null | 0 |
Everyone who is wise or kind is either not strong or humble and vice versa. Everyone who is wise is both not generous and brave and vice versa. Everyone who is either generous or not curious is not humble or not generous and vice versa. Everyone who is strong or generous is not creative. Everyone who is either brave or... | John is wise. | entailment | (![X]:((wise(X)|kind(X))<=>(~strong(X)<~>humble(X))))&
(![X]:(wise(X)<=>(~generous(X)&brave(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)|~generous(X))))&
(![X]:((strong(X)|generous(X))=>~creative(X)))&
(![X]:((brave(X)<~>~rich(X))=>tall(X)))&
((?[X]:((strong(X)<~>old(X))))=>(?[X]:(patient(X))))&
(![X]:((~cur... | wise(john) | [
"p1",
"p2",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4291746728796815458864391
% SZS output start Proof for 4291746728796815458864391
2. ! [X0] : (wise(X0) <=> (brave(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> (~generous(X0) | ~humble(X0))) [input p2]
7. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (~cu... | 0 |
Everyone who is not generous is not happy and vice versa.
If someone is both not brave and not strong then lucy is either not tall or rich and vice versa.
Everyone who is old or not calm is tall or quiet.
Everyone who is both not wise and old is either not rich or funny and vice versa.
Everyone who is either calm or no... | Susan is calm. | entailment | (![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~old(X)|calm(X))))&
(![X]:(brave(X)=>(kind(X)&wise(X))))&
(![X]:((tall(X)|patient(X)... | calm(susan) | [
"p0",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4602042995785504240791149
% SZS output start Proof for 4602042995785504240791149
1. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p0]
5. ! [X0] : ((calm(X0) <~> ~generous(X0)) <=> (calm(X0) | ~old(X0))) [input p4]
14. ! [X0] : ((~happy(X0) | ~old(X0)) <=> generous(X0)) [input p13]
23. ~c... | 0 |
If someone is brave then paul is not rich or not kind and vice versa.
If someone is tall then lucy is not brave.
Everyone who is either not creative or not brave is both not calm and not tall and vice versa.
If fred is either rich or not calm then someone is either quiet or tall and vice versa.
If mary is both quiet an... | Lucy is not calm. | contradiction | ((?[X]:(brave(X)))<=>((~rich(paul)|~kind(paul))))&
((?[X]:(tall(X)))=>(~brave(lucy)))&
(![X]:((~creative(X)<~>~brave(X))<=>(~calm(X)&~tall(X))))&
(((rich(fred)<~>~calm(fred)))<=>(?[X]:((quiet(X)<~>tall(X)))))&
(((quiet(mary)&brave(mary)))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:(~strong(X)=>(~calm(X)<~>~patient(X))))... | ~calm(lucy) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8027436490539544505661319
% SZS output start Proof for 8027436490539544505661319
11. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (~tall(X0) & calm(X0))) [input p10]
20. humble(lucy) [input p19]
25. ~calm(lucy) [input hypothesis]
54. ! [X0] : (((humble(X0) | ~brave(X0)) | (tall(X0) | ~calm(X0)... | 0 |
Everyone who is happy is either not happy or happy.
If someone is creative or not tall then john is both old and tall.
If someone is creative then someone is either rich or not humble.
If someone is not humble then alice is both calm and not kind.
Everyone who is calm is tall or not old.
If someone is not creative or r... | Paul is old. | contradiction | (![X]:(happy(X)=>(~happy(X)<~>happy(X))))&
((?[X]:((creative(X)|~tall(X))))=>((old(john)&tall(john))))&
((?[X]:(creative(X)))=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:(~humble(X)))=>((calm(alice)&~kind(alice))))&
(![X]:(calm(X)=>(tall(X)|~old(X))))&
((?[X]:((~creative(X)|rich(X))))<=>(?[X]:(happy(X))))&
((?[X]:(rich(X... | old(paul) | [
"p1",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4742236246073914643464679
% SZS output start Proof for 4742236246073914643464679
2. ? [X0] : (~tall(X0) | creative(X0)) => (tall(john) & old(john)) [input p1]
10. ! [X0] : (~strong(X0) <=> (~wise(X0) & ~quiet(X0))) [input p9]
16. ! [X0] : ((~old(X0) <~> tall(X0)) <=> (~strong(X0) & quiet(... | 0 |
If susan is both not wise and quiet then someone is both not humble and creative.
Everyone who is either not humble or not wise is quiet or kind and vice versa.
If fred is not funny or curious then john is both not curious and quiet.
Everyone who is calm is brave or happy and vice versa.
Everyone who is not happy or cr... | Lucy is strong. | contradiction | (((~wise(susan)&quiet(susan)))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~humble(X)<~>~wise(X))<=>(quiet(X)|kind(X))))&
(((~funny(fred)|curious(fred)))=>((~curious(john)&quiet(john))))&
(![X]:(calm(X)<=>(brave(X)|happy(X))))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)|~wise(X))<=>... | strong(lucy) | [
"p3",
"p5",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5552684478061537746454281
% SZS output start Proof for 5552684478061537746454281
4. ! [X0] : (calm(X0) <=> (happy(X0) | brave(X0))) [input p3]
6. ! [X0] : ((~wise(X0) | ~happy(X0)) <=> (~quiet(X0) <~> ~happy(X0))) [input p5]
12. ? [X0] : (~creative(X0) & humble(X0)) <=> ? [X0] : (happy(X0... | 0 |
Everyone who is both humble and not patient is either not funny or not curious and vice versa.
Everyone who is kind is not old or strong.
Everyone who is either not calm or rich is both quiet and not patient.
Everyone who is both not curious and funny is not humble and vice versa.
If someone is either not funny or not ... | Susan is curious. | entailment | (![X]:((humble(X)&~patient(X))<=>(~funny(X)<~>~curious(X))))&
(![X]:(kind(X)=>(~old(X)|strong(X))))&
(![X]:((~calm(X)<~>rich(X))=>(quiet(X)&~patient(X))))&
(![X]:((~curious(X)&funny(X))<=>~humble(X)))&
((?[X]:((~funny(X)<~>~brave(X))))=>(funny(paul)))&
((?[X]:((curious(X)|~tall(X))))=>(?[X]:((happy(X)|~creative(X)))))&... | curious(susan) | [
"p0",
"p3",
"p4",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5880920099591293369581677
% SZS output start Proof for 5880920099591293369581677
1. ! [X0] : ((~patient(X0) & humble(X0)) <=> (~funny(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : ((funny(X0) & ~curious(X0)) <=> ~humble(X0)) [input p3]
5. ? [X0] : (~funny(X0) <~> ~brave(X0)) => funny(paul... | 0 |
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