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 john is both not generous and not quiet then susan is both brave and wise.
Everyone who is not happy or tall is either strong or not curious.
Everyone who is not tall is either rich or not strong.
Everyone who is both old and quiet is humble and vice versa.
Everyone who is not old is both not creative and generous a... | John is quiet. | neutral | (((~generous(john)&~quiet(john)))=>((brave(susan)&wise(susan))))&
(![X]:((~happy(X)|tall(X))=>(strong(X)<~>~curious(X))))&
(![X]:(~tall(X)=>(rich(X)<~>~strong(X))))&
(![X]:((old(X)&quiet(X))<=>humble(X)))&
(![X]:(~old(X)<=>(~creative(X)&generous(X))))&
((?[X]:((~generous(X)<~>~rich(X))))<=>(kind(mary)))&
(![X]:((~tall(... | quiet(john) | [] | null | 0 |
If john is either curious or not strong then lucy is brave.
If paul is rich then someone is both not creative and kind.
Everyone who is creative or not patient is not humble or not patient.
Everyone who is both not quiet and not kind is not curious and vice versa.
Everyone who is both generous and wise is not generous.... | John is not happy. | neutral | (((curious(john)<~>~strong(john)))=>(brave(lucy)))&
((rich(paul))=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((creative(X)|~patient(X))=>(~humble(X)|~patient(X))))&
(![X]:((~quiet(X)&~kind(X))<=>~curious(X)))&
(![X]:((generous(X)&wise(X))=>~generous(X)))&
((?[X]:(~rich(X)))<=>((~humble(lucy)|~wise(lucy))))&
(![X]:((gener... | ~happy(john) | [] | null | 0 |
If someone is either funny or not tall then someone is patient. If paul is not humble then paul is not strong. If fred is happy then someone is both funny and not curious and vice versa. Everyone who is both kind and not strong is curious or happy and vice versa. Everyone who is both strong and calm is not strong or no... | Alice is not old. | entailment | ((?[X]:((funny(X)<~>~tall(X))))=>(?[X]:(patient(X))))&
((~humble(paul))=>(~strong(paul)))&
((happy(fred))<=>(?[X]:((funny(X)&~curious(X)))))&
(![X]:((kind(X)&~strong(X))<=>(curious(X)|happy(X))))&
(![X]:((strong(X)&calm(X))<=>(~strong(X)|~generous(X))))&
(![X]:((~rich(X)<~>~calm(X))=>(~humble(X)&strong(X))))&
(![X]:((~... | ~old(alice) | [
"p4",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 686056131223865480934932
% SZS output start Proof for 686056131223865480934932
5. ! [X0] : ((calm(X0) & strong(X0)) <=> (~generous(X0) | ~strong(X0))) [input p4]
9. ! [X0] : ((wise(X0) | ~strong(X0)) => (strong(X0) <~> ~rich(X0))) [input p8]
13. ! [X0] : ((rich(X0) | patient(X0)) <=> (~ol... | 0 |
Everyone who is either not wise or humble is both not wise and wise. Everyone who is not calm or not funny is not happy or old and vice versa. If someone is both not funny and not kind then someone is either not generous or not funny. Everyone who is both not rich and not wise is either wise or not happy and vice versa... | Fred is rich. | neutral | (![X]:((~wise(X)<~>humble(X))=>(~wise(X)&wise(X))))&
(![X]:((~calm(X)|~funny(X))<=>(~happy(X)|old(X))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(wise(X)<~>~happy(X))))&
(((~tall(fred)|~happy(fred)))=>(~patient(john)))&
(![X]:((happy(X)|curious(X))<=>(curious(X... | rich(fred) | [] | null | 0 |
If lucy is either patient or quiet then lucy is either not strong or creative and vice versa.
If someone is either not funny or not calm then paul is not curious or not rich.
If lucy is funny then someone is rich or curious.
Everyone who is humble is either not quiet or not strong and vice versa.
If someone is both not... | John is not quiet. | neutral | (((patient(lucy)<~>quiet(lucy)))<=>((~strong(lucy)<~>creative(lucy))))&
((?[X]:((~funny(X)<~>~calm(X))))=>((~curious(paul)|~rich(paul))))&
((funny(lucy))=>(?[X]:((rich(X)|curious(X)))))&
(![X]:(humble(X)<=>(~quiet(X)<~>~strong(X))))&
((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((creative(X... | ~quiet(john) | [] | null | 0 |
Everyone who is either old or curious is calm or creative.
Everyone who is both not tall and old is either funny or not calm and vice versa.
Everyone who is either not quiet or not calm is patient and vice versa.
Everyone who is both generous and not curious is not curious or patient and vice versa.
Everyone who is not... | John is wise. | contradiction | (![X]:((old(X)<~>curious(X))=>(calm(X)|creative(X))))&
(![X]:((~tall(X)&old(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>patient(X)))&
(![X]:((generous(X)&~curious(X))<=>(~curious(X)|patient(X))))&
(![X]:((~tall(X)|creative(X))<=>(~funny(X)<~>kind(X))))&
((?[X]:(~rich(X)))<=>((creative(paul)&quiet(pau... | wise(john) | [
"p1",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6418638754276190110296672
% SZS output start Proof for 6418638754276190110296672
2. ! [X0] : ((old(X0) & ~tall(X0)) <=> (funny(X0) <~> ~calm(X0))) [input p1]
9. ! [X0] : ((happy(X0) | ~wise(X0)) <=> (humble(X0) & ~calm(X0))) [input p8]
12. ! [X0] : (happy(X0) <=> (~funny(X0) | ~humble(X0)... | 0 |
If mary is both not creative and not calm then someone is either old or not brave and vice versa.
Everyone who is either brave or not wise is not funny or strong and vice versa.
Everyone who is quiet is not funny and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is bo... | John is curious. | neutral | (((~creative(mary)&~calm(mary)))<=>(?[X]:((old(X)<~>~brave(X)))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)|strong(X))))&
(![X]:(quiet(X)<=>~funny(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creati... | curious(john) | [] | null | 0 |
If someone is both kind and tall then alice is either wise or not humble.
If susan is not strong then someone is either tall or not rich and vice versa.
Everyone who is both not strong and not patient is patient and vice versa.
Everyone who is either not brave or old is not happy or not strong.
If someone is not humble... | Paul is not quiet. | neutral | ((?[X]:((kind(X)&tall(X))))=>((wise(alice)<~>~humble(alice))))&
((~strong(susan))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((~strong(X)&~patient(X))<=>patient(X)))&
(![X]:((~brave(X)<~>old(X))=>(~happy(X)|~strong(X))))&
((?[X]:((~humble(X)|humble(X))))=>(?[X]:((~happy(X)&~calm(X)))))&
(![X]:((strong(X)&~creative(X))<=>(... | ~quiet(paul) | [] | null | 0 |
If someone is not brave or patient then mary is not old or patient and vice versa. If alice is not creative or not quiet then mary is creative and vice versa. Everyone who is both patient and brave is tall or not curious and vice versa. If lucy is brave or old then someone is either rich or not curious and vice versa. ... | John is not creative. | neutral | ((?[X]:((~brave(X)|patient(X))))<=>((~old(mary)|patient(mary))))&
(((~creative(alice)|~quiet(alice)))<=>(creative(mary)))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|~curious(X))))&
(((brave(lucy)|old(lucy)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:(rich(X)<=>(generous(X)<~>quiet(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?... | ~creative(john) | [] | null | 0 |
If someone is either kind or tall then someone is humble.
If someone is not tall then someone is both happy and not happy and vice versa.
If paul is not old or not funny then someone is either happy or calm.
Everyone who is either strong or not rich is patient or not kind and vice versa.
If someone is happy or not crea... | Mary is not calm. | entailment | ((?[X]:((kind(X)<~>tall(X))))=>(?[X]:(humble(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((happy(X)&~happy(X)))))&
(((~old(paul)|~funny(paul)))=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((strong(X)<~>~rich(X))<=>(patient(X)|~kind(X))))&
((?[X]:((happy(X)|~creative(X))))=>((curious(john)|~calm(john))))&
(![X]:(strong(X)<=>(~curious(... | ~calm(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5637341773062004167567536
% SZS output start Proof for 5637341773062004167567536
8. ! [X0] : ((~strong(X0) & ~calm(X0)) <=> (wise(X0) | calm(X0))) [input p7]
23. calm(mary) [input hypothesis]
50. ! [X0] : (((~strong(X0) & ~calm(X0)) | (~wise(X0) & ~calm(X0))) & ((wise(X0) | calm(X0)) | (s... | 0 |
Everyone who is not curious is both not curious and not brave.
Everyone who is both not patient and curious is happy or not tall and vice versa.
If alice is not funny or patient then lucy is not brave or not humble.
Everyone who is both not generous and kind is both not creative and funny.
Everyone who is not calm is b... | Alice is not tall. | contradiction | (![X]:(~curious(X)=>(~curious(X)&~brave(X))))&
(![X]:((~patient(X)&curious(X))<=>(happy(X)|~tall(X))))&
(((~funny(alice)|patient(alice)))=>((~brave(lucy)|~humble(lucy))))&
(![X]:((~generous(X)&kind(X))=>(~creative(X)&funny(X))))&
(![X]:(~calm(X)<=>(~wise(X)&~kind(X))))&
((?[X]:((brave(X)|~creative(X))))=>((kind(paul)&~... | ~tall(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6146688486186546283829538
% SZS output start Proof for 6146688486186546283829538
22. calm(alice) & tall(alice) [input p21]
25. ~tall(alice) [input hypothesis]
133. tall(alice) [cnf transformation 22]
138. ~tall(alice) [cnf transformation 25]
299. $false [subsumption resolution 138,133]
% ... | 0 |
If someone is both calm and wise then mary is not happy or quiet.
If someone is kind or rich then alice is kind or not patient.
Everyone who is both not quiet and wise is either strong or not old and vice versa.
If someone is tall or not patient then alice is not curious or not tall and vice versa.
If someone is not pa... | Fred is not kind. | contradiction | ((?[X]:((calm(X)&wise(X))))=>((~happy(mary)|quiet(mary))))&
((?[X]:((kind(X)|rich(X))))=>((kind(alice)|~patient(alice))))&
(![X]:((~quiet(X)&wise(X))<=>(strong(X)<~>~old(X))))&
((?[X]:((tall(X)|~patient(X))))<=>((~curious(alice)|~tall(alice))))&
((?[X]:(~patient(X)))=>(~brave(lucy)))&
(![X]:((~brave(X)<~>funny(X))=>(~q... | ~kind(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6789936146558364214412351
% SZS output start Proof for 6789936146558364214412351
22. ~creative(fred) & kind(fred) [input p21]
25. ~kind(fred) [input hypothesis]
130. kind(fred) [cnf transformation 22]
136. ~kind(fred) [cnf transformation 25]
319. $false [subsumption resolution 136,130]
% ... | 0 |
If someone is either not humble or not old then alice is both not tall and happy.
If someone is either happy or not old then susan is either not strong or patient and vice versa.
Everyone who is not patient or not happy is either rich or old and vice versa.
Everyone who is quiet or kind is calm and vice versa.
Everyone... | Alice is brave. | entailment | ((?[X]:((~humble(X)<~>~old(X))))=>((~tall(alice)&happy(alice))))&
((?[X]:((happy(X)<~>~old(X))))<=>((~strong(susan)<~>patient(susan))))&
(![X]:((~patient(X)|~happy(X))<=>(rich(X)<~>old(X))))&
(![X]:((quiet(X)|kind(X))<=>calm(X)))&
(![X]:((wise(X)|humble(X))<=>(humble(X)|~curious(X))))&
(![X]:((curious(X)|~strong(X))<=>... | brave(alice) | [
"p3",
"p5",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4930774186201473665868027
% SZS output start Proof for 4930774186201473665868027
4. ! [X0] : ((kind(X0) | quiet(X0)) <=> calm(X0)) [input p3]
6. ! [X0] : ((~strong(X0) | curious(X0)) <=> (~old(X0) & creative(X0))) [input p5]
11. ? [X0] : (~old(X0) | ~happy(X0)) => (tall(alice) & brave(ali... | 0 |
If john is not strong or not kind then someone is either tall or not quiet.
Everyone who is not calm or not patient is not kind or wise.
Everyone who is not wise or humble is not wise or tall and vice versa.
Everyone who is not kind is happy or old and vice versa.
If mary is not calm or rich then someone is either not ... | Alice is tall. | neutral | (((~strong(john)|~kind(john)))=>(?[X]:((tall(X)<~>~quiet(X)))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(X))))&
(((~calm(mary)|rich(mary)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
(((curious(alice)<~>~old(alice)))=>(?[X]:((~rich(... | tall(alice) | [] | null | 0 |
If someone is either not curious or tall then paul is both humble and not strong.
If john is either kind or not funny then someone is both humble and curious and vice versa.
Everyone who is both not wise and not calm is not old or generous and vice versa.
Everyone who is both kind and quiet is not kind.
Everyone who is... | Susan is wise. | entailment | ((?[X]:((~curious(X)<~>tall(X))))=>((humble(paul)&~strong(paul))))&
(((kind(john)<~>~funny(john)))<=>(?[X]:((humble(X)&curious(X)))))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|generous(X))))&
(![X]:((kind(X)&quiet(X))=>~kind(X)))&
(![X]:((~strong(X)|curious(X))=>(wise(X)|~quiet(X))))&
((?[X]:((~happy(X)&~rich(X))))=>(~hum... | wise(susan) | [
"p2",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6894170602463687749498312
% SZS output start Proof for 6894170602463687749498312
3. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (generous(X0) | ~old(X0))) [input p2]
8. ! [X0] : ((~wise(X0) | rich(X0)) <=> ~old(X0)) [input p7]
18. ~kind(susan) & calm(susan) [input p17]
24. ~wise(susan) [input h... | 0 |
If mary is patient or not wise then someone is either funny or not patient. If someone is both not kind and happy then someone is both not humble and not kind. Everyone who is creative or wise is not curious or quiet. Everyone who is not humble or patient is either rich or not tall and vice versa. If someone is either ... | John is brave. | contradiction | (((patient(mary)|~wise(mary)))=>(?[X]:((funny(X)<~>~patient(X)))))&
((?[X]:((~kind(X)&happy(X))))=>(?[X]:((~humble(X)&~kind(X)))))&
(![X]:((creative(X)|wise(X))=>(~curious(X)|quiet(X))))&
(![X]:((~humble(X)|patient(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:... | brave(john) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 861866269498513296739859
% SZS output start Proof for 861866269498513296739859
15. ! [X0] : ((tall(X0) | brave(X0)) <=> (happy(X0) & rich(X0))) [input p14]
17. ~happy(john) & old(john) [input p16]
24. brave(john) [input hypothesis]
69. ! [X0] : (((tall(X0) | brave(X0)) | (~happy(X0) | ~ri... | 0 |
Everyone who is either not kind or kind is both not brave and calm and vice versa.
If paul is either strong or not humble then someone is both not strong and not brave.
Everyone who is both not old and generous is either not old or patient and vice versa.
Everyone who is not brave is either kind or curious.
If mary is ... | Paul is not wise. | contradiction | (![X]:((~kind(X)<~>kind(X))<=>(~brave(X)&calm(X))))&
(((strong(paul)<~>~humble(paul)))=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~old(X)&generous(X))<=>(~old(X)<~>patient(X))))&
(![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan))... | ~wise(paul) | [
"p0",
"p2",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8546496942302181778313478
% SZS output start Proof for 8546496942302181778313478
1. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (calm(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((generous(X0) & ~old(X0)) <=> (~old(X0) <~> patient(X0))) [input p2]
9. ! [X0] : (happy(X0) => ~quiet(X0)) [input p8]... | 0 |
Everyone who is both not wise and generous is either quiet or generous and vice versa.
If someone is not old or not funny then mary is both not generous and wise.
Everyone who is not kind or humble is tall.
If someone is either not quiet or happy then someone is not happy or generous.
If mary is both rich and happy the... | Paul is calm. | neutral | (![X]:((~wise(X)&generous(X))<=>(quiet(X)<~>generous(X))))&
((?[X]:((~old(X)|~funny(X))))=>((~generous(mary)&wise(mary))))&
(![X]:((~kind(X)|humble(X))=>tall(X)))&
((?[X]:((~quiet(X)<~>happy(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(((rich(mary)&happy(mary)))<=>((generous(susan)|~tall(susan))))&
((old(alice))<=>((calm... | calm(paul) | [] | null | 0 |
Everyone who is either curious or humble is not funny or kind and vice versa.
If someone is brave then mary is brave or wise and vice versa.
Everyone who is not old or funny is either strong or wise and vice versa.
Everyone who is both not rich and not tall is both wise and not strong and vice versa.
Everyone who is ei... | Lucy is quiet. | neutral | (![X]:((curious(X)<~>humble(X))<=>(~funny(X)|kind(X))))&
((?[X]:(brave(X)))<=>((brave(mary)|wise(mary))))&
(![X]:((~old(X)|funny(X))<=>(strong(X)<~>wise(X))))&
(![X]:((~rich(X)&~tall(X))<=>(wise(X)&~strong(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(~quiet(X)&~tall(X))))&
(![X]:(~rich(X)=>(~strong(X)|patient(X))))&
(![... | quiet(lucy) | [] | null | 0 |
If alice is either rich or happy then alice is curious.
If mary is wise or not patient then lucy is either not funny or kind.
If mary is either wise or humble then john is either not quiet or old.
If someone is either funny or not happy then someone is either humble or not humble.
Everyone who is both humble and patien... | Mary is not curious. | entailment | (((rich(alice)<~>happy(alice)))=>(curious(alice)))&
(((wise(mary)|~patient(mary)))=>((~funny(lucy)<~>kind(lucy))))&
(((wise(mary)<~>humble(mary)))=>((~quiet(john)<~>old(john))))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((humble(X)&patient(X))=>(wise(X)&~generous(X))))&
(![X]:(~calm(X... | ~curious(mary) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8723803052611152742892637
% SZS output start Proof for 8723803052611152742892637
12. ! [X0] : (old(X0) <=> (kind(X0) & ~kind(X0))) [input p11]
14. ? [X0] : (curious(X0) | ~happy(X0)) <=> (old(lucy) & creative(lucy)) [input p13]
22. curious(mary) [input hypothesis]
53. ! [X0] : ((old(X0) |... | 0 |
Everyone who is brave is either not kind or creative.
Everyone who is either wise or not rich is strong or not calm and vice versa.
Everyone who is humble is both patient and not quiet.
Everyone who is both not happy and rich is both happy and not old.
If someone is either not brave or not generous then mary is not fun... | Susan is not old. | entailment | (![X]:(brave(X)=>(~kind(X)<~>creative(X))))&
(![X]:((wise(X)<~>~rich(X))<=>(strong(X)|~calm(X))))&
(![X]:(humble(X)=>(patient(X)&~quiet(X))))&
(![X]:((~happy(X)&rich(X))=>(happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>~generous(X))))=>((~funny(mary)|brave(mary))))&
(![X]:((creative(X)|~tall(X))<=>(old(X)<~>calm(X))))&
(![X... | ~old(susan) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4278728869516754132882276
% SZS output start Proof for 4278728869516754132882276
3. ! [X0] : (humble(X0) => (~quiet(X0) & patient(X0))) [input p2]
10. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~old(X0) <~> humble(X0))) [input p9]
13. ! [X0] : ((quiet(X0) & ~wise(X0)) <=> patient(X0)) [input... | 0 |
Everyone who is creative or brave is both not tall and not creative and vice versa.
Everyone who is both not kind and humble is either strong or not patient.
Everyone who is either strong or not calm is strong.
Everyone who is either not humble or calm is not curious or calm.
If susan is either not quiet or not humble ... | Lucy is kind. | entailment | (![X]:((creative(X)|brave(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~kind(X)&humble(X))=>(strong(X)<~>~patient(X))))&
(![X]:((strong(X)<~>~calm(X))=>strong(X)))&
(![X]:((~humble(X)<~>calm(X))=>(~curious(X)|calm(X))))&
(((~quiet(susan)<~>~humble(susan)))<=>((~strong(susan)<~>~generous(susan))))&
(![X]:((~kind(X)|~old(X))... | kind(lucy) | [
"p5",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 317931279891084338849590
% SZS output start Proof for 317931279891084338849590
6. ! [X0] : ((~old(X0) | ~kind(X0)) <=> (old(X0) & ~funny(X0))) [input p5]
8. ! [X0] : (~strong(X0) <=> ~funny(X0)) [input p7]
21. calm(lucy) & strong(lucy) [input p20]
23. ~kind(lucy) [input hypothesis]
37. ! ... | 0 |
Everyone who is not generous or not strong is not rich or not kind.
If someone is not old then lucy is patient and vice versa.
If someone is strong then someone is not funny.
If susan is both not calm and not patient then someone is either not wise or calm and vice versa.
If someone is either not curious or not rich th... | Fred is quiet. | entailment | (![X]:((~generous(X)|~strong(X))=>(~rich(X)|~kind(X))))&
((?[X]:(~old(X)))<=>(patient(lucy)))&
((?[X]:(strong(X)))=>(?[X]:(~funny(X))))&
(((~calm(susan)&~patient(susan)))<=>(?[X]:((~wise(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))=>((~creative(alice)&~tall(alice))))&
(![X]:((~kind(X)<~>~tall(X))=>(~happy(X)&cu... | quiet(fred) | [
"p7",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4682858108115935021739031
% SZS output start Proof for 4682858108115935021739031
8. ? [X0] : (brave(X0) | wise(X0)) <=> (wise(lucy) & ~old(lucy)) [input p7]
10. ? [X0] : humble(X0) => (~brave(fred) <~> ~quiet(fred)) [input p9]
16. ! [X0] : (~strong(X0) <=> (strong(X0) & wise(X0))) [input ... | 0 |
If someone is patient then someone is not happy and vice versa.
Everyone who is generous is not old and vice versa.
If alice is not patient then someone is both patient and quiet and vice versa.
If someone is creative or not generous then alice is either humble or not happy.
Everyone who is quiet is both not curious an... | Mary is not rich. | contradiction | ((?[X]:(patient(X)))<=>(?[X]:(~happy(X))))&
(![X]:(generous(X)<=>~old(X)))&
((~patient(alice))<=>(?[X]:((patient(X)&quiet(X)))))&
((?[X]:((creative(X)|~generous(X))))=>((humble(alice)<~>~happy(alice))))&
(![X]:(quiet(X)=>(~curious(X)&~old(X))))&
(![X]:((~tall(X)&kind(X))=>~curious(X)))&
((?[X]:((~generous(X)<~>curious(... | ~rich(mary) | [
"p1",
"p10",
"p13",
"p16",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6626631846763647783544239
% SZS output start Proof for 6626631846763647783544239
2. ! [X0] : (generous(X0) <=> ~old(X0)) [input p1]
11. ! [X0] : ((generous(X0) <~> ~wise(X0)) => calm(X0)) [input p10]
14. (rich(susan) & tall(susan)) <=> ? [X0] : (wise(X0) <~> ~curious(X0)) [input p13]
17. ... | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Fred is calm. | contradiction | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | calm(fred) | [
"p0",
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 970156555306007270361246
% SZS output start Proof for 970156555306007270361246
1. ! [X0] : ((calm(X0) | strong(X0)) <=> (~rich(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
10. ! [X0] : ((rich(X0) <~> old(X0)) => ~humble(X0)) [in... | 0 |
Everyone who is either not patient or kind is strong and vice versa.
Everyone who is not patient or not happy is both calm and not kind and vice versa.
Everyone who is curious is wise.
Everyone who is not humble is not patient or kind.
If someone is either happy or not happy then someone is either tall or curious.
If f... | Lucy is funny. | neutral | (![X]:((~patient(X)<~>kind(X))<=>strong(X)))&
(![X]:((~patient(X)|~happy(X))<=>(calm(X)&~kind(X))))&
(![X]:(curious(X)=>wise(X)))&
(![X]:(~humble(X)=>(~patient(X)|kind(X))))&
((?[X]:((happy(X)<~>~happy(X))))=>(?[X]:((tall(X)<~>curious(X)))))&
(((~tall(fred)&~humble(fred)))=>(?[X]:((~brave(X)&rich(X)))))&
((?[X]:(~quiet... | funny(lucy) | [] | null | 0 |
Everyone who is either not curious or not calm is either happy or not funny and vice versa.
Everyone who is both not strong and not brave is either creative or not curious.
Everyone who is both not humble and patient is both creative and funny and vice versa.
Everyone who is rich or happy is not wise and vice versa.
Ev... | Mary is humble. | neutral | (![X]:((~curious(X)<~>~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((~strong(X)&~brave(X))=>(creative(X)<~>~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(creative(X)&funny(X))))&
(![X]:((rich(X)|happy(X))<=>~wise(X)))&
(![X]:((~funny(X)|old(X))<=>(~wise(X)&strong(X))))&
(![X]:((humble(X)|~humble(X))<=>creative(X)))&
... | humble(mary) | [] | null | 0 |
If someone is either not humble or not brave then fred is brave and vice versa.
If someone is patient or not generous then fred is happy and vice versa.
Everyone who is not patient is either not strong or funny.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or... | Lucy is not strong. | contradiction | ((?[X]:((~humble(X)<~>~brave(X))))<=>(brave(fred)))&
((?[X]:((patient(X)|~generous(X))))<=>(happy(fred)))&
(![X]:(~patient(X)=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<... | ~strong(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6838625485768699914855169
% SZS output start Proof for 6838625485768699914855169
10. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p9]
23. ~strong(lucy) [input hypothesis]
49. ! [X0] : (((~generous(X0) | ~strong(X0)) | ~strong(X0)) & (strong(X0) | (generous(X0) & strong(X... | 0 |
If alice is not funny or not generous then lucy is not curious or not strong and vice versa.
If mary is either creative or not funny then someone is humble or patient.
Everyone who is both happy and not funny is not happy and vice versa.
If mary is kind or rich then someone is either not tall or not strong and vice ver... | Lucy is not strong. | contradiction | (((~funny(alice)|~generous(alice)))<=>((~curious(lucy)|~strong(lucy))))&
(((creative(mary)<~>~funny(mary)))=>(?[X]:((humble(X)|patient(X)))))&
(![X]:((happy(X)&~funny(X))<=>~happy(X)))&
(((kind(mary)|rich(mary)))<=>(?[X]:((~tall(X)<~>~strong(X)))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|rich(X))))&
(![X]:((humble(X)|~... | ~strong(lucy) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 623611372918080436476445
% SZS output start Proof for 623611372918080436476445
3. ! [X0] : ((~funny(X0) & happy(X0)) <=> ~happy(X0)) [input p2]
11. ! [X0] : (strong(X0) <=> (quiet(X0) | happy(X0))) [input p10]
21. ~strong(lucy) [input hypothesis]
35. ! [X0] : (((~funny(X0) & happy(X0)) | ... | 0 |
If alice is not strong or happy then someone is curious or kind and vice versa.
Everyone who is humble is either not old or funny and vice versa.
If susan is humble then fred is both tall and not generous.
Everyone who is both not generous and humble is either not rich or not quiet and vice versa.
If someone is either ... | Lucy is tall. | neutral | (((~strong(alice)|happy(alice)))<=>(?[X]:((curious(X)|kind(X)))))&
(![X]:(humble(X)<=>(~old(X)<~>funny(X))))&
((humble(susan))=>((tall(fred)&~generous(fred))))&
(![X]:((~generous(X)&humble(X))<=>(~rich(X)<~>~quiet(X))))&
((?[X]:((~rich(X)<~>quiet(X))))<=>(?[X]:((strong(X)&~humble(X)))))&
(![X]:(~wise(X)=>curious(X)))&
... | tall(lucy) | [] | null | 0 |
Everyone who is both not patient and patient is not generous or not strong and vice versa.
Everyone who is funny is tall or not happy.
Everyone who is strong or not kind is not quiet or patient and vice versa.
If someone is both kind and not creative then alice is humble.
If fred is not happy then someone is not old.
I... | Fred is not generous. | contradiction | (![X]:((~patient(X)&patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:(funny(X)=>(tall(X)|~happy(X))))&
(![X]:((strong(X)|~kind(X))<=>(~quiet(X)|patient(X))))&
((?[X]:((kind(X)&~creative(X))))=>(humble(alice)))&
((~happy(fred))=>(?[X]:(~old(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((curious(X)<~>generous(X)))))&... | ~generous(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3633722696959616814629592
% SZS output start Proof for 3633722696959616814629592
1. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
18. ~generous(fred) [input hypothesis]
30. ! [X0] : (((patient(X0) & ~patient(X0)) | (strong(X0) & generous(X0))) & ((~s... | 0 |
Everyone who is either calm or curious is not wise and vice versa.
If someone is not humble or not calm then someone is both not generous and strong.
If someone is not creative then paul is both not old and patient.
If alice is either not brave or quiet then someone is either humble or not strong.
Everyone who is both ... | Lucy is not patient. | contradiction | (![X]:((calm(X)<~>curious(X))<=>~wise(X)))&
((?[X]:((~humble(X)|~calm(X))))=>(?[X]:((~generous(X)&strong(X)))))&
((?[X]:(~creative(X)))=>((~old(paul)&patient(paul))))&
(((~brave(alice)<~>quiet(alice)))=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((kind(X)&~humble(X))=>(brave(X)|wise(X))))&
((~humble(john))=>(?[X]:((~cur... | ~patient(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 831522935150688728340664
% SZS output start Proof for 831522935150688728340664
15. ! [X0] : ((patient(X0) & tall(X0)) <=> (old(X0) <~> ~old(X0))) [input p14]
25. ~patient(lucy) [input hypothesis]
58. ! [X0] : (((patient(X0) & tall(X0)) | ((old(X0) | old(X0)) & (~old(X0) | ~old(X0)))) & ((... | 0 |
If someone is both not humble and curious then someone is not creative.
If someone is kind then someone is not calm or not rich.
Everyone who is not wise is either funny or curious and vice versa.
Everyone who is not strong or funny is not patient or not strong.
If john is both generous and not kind then someone is qui... | John is not kind. | neutral | ((?[X]:((~humble(X)&curious(X))))=>(?[X]:(~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~calm(X)|~rich(X)))))&
(![X]:(~wise(X)<=>(funny(X)<~>curious(X))))&
(![X]:((~strong(X)|funny(X))=>(~patient(X)|~strong(X))))&
(((generous(john)&~kind(john)))<=>(?[X]:((quiet(X)|old(X)))))&
(![X]:((happy(X)|calm(X))=>(curious(X)&~funny... | ~kind(john) | [] | null | 0 |
Everyone who is not old or wise is either not kind or not brave and vice versa.
If john is either creative or not old then mary is calm or not generous and vice versa.
Everyone who is either creative or not calm is either curious or not kind.
Everyone who is both not tall and not old is either not brave or brave and vi... | John is rich. | entailment | (![X]:((~old(X)|wise(X))<=>(~kind(X)<~>~brave(X))))&
(((creative(john)<~>~old(john)))<=>((calm(mary)|~generous(mary))))&
(![X]:((creative(X)<~>~calm(X))=>(curious(X)<~>~kind(X))))&
(![X]:((~tall(X)&~old(X))<=>(~brave(X)<~>brave(X))))&
((?[X]:((funny(X)|~curious(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((rich(X)<~... | rich(john) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7947069176128910754150970
% SZS output start Proof for 7947069176128910754150970
4. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~brave(X0) <~> brave(X0))) [input p3]
9. (old(susan) & quiet(susan)) <=> ? [X0] : (wise(X0) | ~rich(X0)) [input p8]
23. ~rich(john) [input hypothesis]
36. ! [X0] : (((... | 0 |
Everyone who is either calm or not happy is both not generous and humble and vice versa.
If someone is not creative then mary is either old or tall.
Everyone who is both curious and not creative is either not brave or not quiet.
Everyone who is either not old or not kind is both not rich and brave and vice versa.
If so... | Susan is not quiet. | contradiction | (![X]:((calm(X)<~>~happy(X))<=>(~generous(X)&humble(X))))&
((?[X]:(~creative(X)))=>((old(mary)<~>tall(mary))))&
(![X]:((curious(X)&~creative(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:((~old(X)<~>~kind(X))<=>(~rich(X)&brave(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~quiet(X)<~>kind(X))=>(~... | ~quiet(susan) | [
"p5",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8967288435000063502314334
% SZS output start Proof for 8967288435000063502314334
6. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (~strong(X0) <~> brave(X0))) [input p5]
9. ? [X0] : (creative(X0) | ~tall(X0)) <=> (strong(paul) & ~brave(paul)) [input p8]
11. ! [X0] : ((~tall(X0) | ~curious(X0)) =... | 0 |
If mary is both funny and not strong then mary is not tall.
If someone is rich then paul is brave or strong and vice versa.
If someone is both not curious and not quiet then someone is both not quiet and quiet.
Everyone who is both tall and rich is not quiet.
Everyone who is either wise or not brave is not strong.
Ever... | Susan is not creative. | entailment | (((funny(mary)&~strong(mary)))=>(~tall(mary)))&
((?[X]:(rich(X)))<=>((brave(paul)|strong(paul))))&
((?[X]:((~curious(X)&~quiet(X))))=>(?[X]:((~quiet(X)&quiet(X)))))&
(![X]:((tall(X)&rich(X))=>~quiet(X)))&
(![X]:((wise(X)<~>~brave(X))=>~strong(X)))&
(![X]:(~happy(X)<=>(~patient(X)<~>~kind(X))))&
(((~curious(lucy)&curiou... | ~creative(susan) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5187557859646104504549442
% SZS output start Proof for 5187557859646104504549442
10. ! [X0] : ((patient(X0) | creative(X0)) => (~quiet(X0) & ~strong(X0))) [input p9]
18. strong(susan) [input p17]
24. creative(susan) [input hypothesis]
34. ! [X0] : ((~quiet(X0) & ~strong(X0)) | (~patient(X... | 0 |
If mary is not funny or brave then someone is either tall or not humble and vice versa.
Everyone who is both not kind and calm is either tall or quiet and vice versa.
Everyone who is not kind is creative.
Everyone who is generous is either not tall or strong and vice versa.
If someone is both strong and not calm then s... | Mary is generous. | neutral | (((~funny(mary)|brave(mary)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:((~kind(X)&calm(X))<=>(tall(X)<~>quiet(X))))&
(![X]:(~kind(X)=>creative(X)))&
(![X]:(generous(X)<=>(~tall(X)<~>strong(X))))&
((?[X]:((strong(X)&~calm(X))))=>(?[X]:((~tall(X)|wise(X)))))&
((?[X]:((~happy(X)&brave(X))))<=>(?[X]:((~happy(X)<~>~wise(X)... | generous(mary) | [] | null | 0 |
If mary is old or generous then someone is tall and vice versa.
Everyone who is quiet or kind is brave and vice versa.
If paul is both humble and not strong then someone is old or kind and vice versa.
Everyone who is humble is either humble or not wise.
Everyone who is either not wise or quiet is not kind.
If susan is ... | Paul is tall. | entailment | (((old(mary)|generous(mary)))<=>(?[X]:(tall(X))))&
(![X]:((quiet(X)|kind(X))<=>brave(X)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:(humble(X)=>(humble(X)<~>~wise(X))))&
(![X]:((~wise(X)<~>quiet(X))=>~kind(X)))&
(((tall(susan)<~>wise(susan)))=>((quiet(paul)&old(paul))))&
(![X]:((rich(X)&old(X... | tall(paul) | [
"p2",
"p6",
"p7",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4618734482037552834614903
% SZS output start Proof for 4618734482037552834614903
3. (~strong(paul) & humble(paul)) <=> ? [X0] : (kind(X0) | old(X0)) [input p2]
7. ! [X0] : ((old(X0) & rich(X0)) <=> (~rich(X0) <~> ~patient(X0))) [input p6]
8. ! [X0] : (~strong(X0) <=> tall(X0)) [input p7]
... | 0 |
If someone is both quiet and not quiet then someone is both old and creative and vice versa. If mary is either not strong or creative then someone is either kind or brave and vice versa. If mary is not creative or not curious then someone is both not strong and not kind. Everyone who is not creative is both not quiet a... | Mary is calm. | neutral | ((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((old(X)&creative(X)))))&
(((~strong(mary)<~>creative(mary)))<=>(?[X]:((kind(X)<~>brave(X)))))&
(((~creative(mary)|~curious(mary)))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((creative(X)<~>~kind(X))=>(~humble(X)&~rich(X))))&
(![X]:((brav... | calm(mary) | [] | null | 0 |
Everyone who is not tall or not rich is both wise and not happy and vice versa. If someone is strong or happy then someone is either not patient or not wise. Everyone who is either strong or old is both not humble and not strong. If someone is not generous then susan is either not quiet or not kind. Everyone who is bot... | Lucy is happy. | contradiction | (![X]:((~tall(X)|~rich(X))<=>(wise(X)&~happy(X))))&
((?[X]:((strong(X)|happy(X))))=>(?[X]:((~patient(X)<~>~wise(X)))))&
(![X]:((strong(X)<~>old(X))=>(~humble(X)&~strong(X))))&
((?[X]:(~generous(X)))=>((~quiet(susan)<~>~kind(susan))))&
(![X]:((creative(X)&rich(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((curious(X)<~>~tall(X))... | happy(lucy) | [
"p0",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2386602937493022267314440
% SZS output start Proof for 2386602937493022267314440
1. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> (~happy(X0) & wise(X0))) [input p0]
6. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> humble(X0)) [input p5]
15. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humbl... | 0 |
Everyone who is not humble or not tall is calm or wise. Everyone who is either not happy or calm is not wise and vice versa. If john is both not kind and creative then fred is either happy or not kind. If susan is happy then someone is happy and vice versa. If someone is calm then someone is not wise. Everyone who is n... | Lucy is patient. | entailment | (![X]:((~humble(X)|~tall(X))=>(calm(X)|wise(X))))&
(![X]:((~happy(X)<~>calm(X))<=>~wise(X)))&
(((~kind(john)&creative(john)))=>((happy(fred)<~>~kind(fred))))&
((happy(susan))<=>(?[X]:(happy(X))))&
((?[X]:(calm(X)))=>(?[X]:(~wise(X))))&
(![X]:((~old(X)|funny(X))=>~strong(X)))&
((?[X]:((patient(X)|brave(X))))<=>((~tall(l... | patient(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8505727811654416761771205
% SZS output start Proof for 8505727811654416761771205
11. (funny(lucy) | ~patient(lucy)) => ? [X0] : (funny(X0) & ~funny(X0)) [input p10]
25. ~patient(lucy) [input hypothesis]
37. ? [X0] : (funny(X0) & ~funny(X0)) | (~funny(lucy) & patient(lucy)) [ennf transform... | 0 |
Everyone who is either not quiet or not humble is either not curious or old and vice versa.
Everyone who is brave is both quiet and humble and vice versa.
If someone is calm or funny then someone is either funny or generous and vice versa.
Everyone who is not wise or creative is wise or not happy and vice versa.
Everyo... | Mary is not strong. | neutral | (![X]:((~quiet(X)<~>~humble(X))<=>(~curious(X)<~>old(X))))&
(![X]:(brave(X)<=>(quiet(X)&humble(X))))&
((?[X]:((calm(X)|funny(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(![X]:((~wise(X)|creative(X))<=>(wise(X)|~happy(X))))&
(![X]:((~brave(X)|~tall(X))<=>(happy(X)&calm(X))))&
((?[X]:((~strong(X)|humble(X))))<=>((~curiou... | ~strong(mary) | [] | null | 0 |
Everyone who is not happy or not humble is generous.
If alice is wise then fred is either brave or generous.
If john is either wise or not calm then lucy is not patient.
If fred is not strong then someone is not curious.
Everyone who is not patient or not brave is either not happy or quiet.
Everyone who is strong or qu... | John is brave. | contradiction | (![X]:((~happy(X)|~humble(X))=>generous(X)))&
((wise(alice))=>((brave(fred)<~>generous(fred))))&
(((wise(john)<~>~calm(john)))=>(~patient(lucy)))&
((~strong(fred))=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)|~brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((strong(X)|quiet(X))<=>(~humble(X)&~brave(X))))&
((funny(susan))<=>... | brave(john) | [
"p0",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1695554924962581756154868
% SZS output start Proof for 1695554924962581756154868
1. ! [X0] : ((~humble(X0) | ~happy(X0)) => generous(X0)) [input p0]
8. ! [X0] : (happy(X0) => patient(X0)) [input p7]
14. ! [X0] : ((generous(X0) <~> brave(X0)) <=> (~patient(X0) | generous(X0))) [input p13]
... | 0 |
Everyone who is calm is quiet and vice versa.
If lucy is not generous or not funny then someone is not patient or generous and vice versa.
Everyone who is both patient and brave is not tall or generous and vice versa.
Everyone who is not curious or patient is not wise or brave and vice versa.
Everyone who is both quiet... | Mary is funny. | contradiction | (![X]:(calm(X)<=>quiet(X)))&
(((~generous(lucy)|~funny(lucy)))<=>(?[X]:((~patient(X)|generous(X)))))&
(![X]:((patient(X)&brave(X))<=>(~tall(X)|generous(X))))&
(![X]:((~curious(X)|patient(X))<=>(~wise(X)|brave(X))))&
(![X]:((quiet(X)&funny(X))<=>(patient(X)&wise(X))))&
(![X]:((creative(X)|wise(X))=>brave(X)))&
(((tall(a... | funny(mary) | [
"p4",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8388528415646027138635601
% SZS output start Proof for 8388528415646027138635601
5. ! [X0] : ((funny(X0) & quiet(X0)) <=> (wise(X0) & patient(X0))) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => brave(X0)) [input p5]
8. ! [X0] : ((quiet(X0) & brave(X0)) <=> (~wise(X0) <~> wise(X0)))... | 0 |
Everyone who is patient is both not rich and not patient.
If fred is either not humble or rich then someone is not quiet or not humble.
Everyone who is generous is curious or not brave and vice versa.
Everyone who is not humble is either quiet or not funny and vice versa.
Everyone who is both not happy and wise is eith... | Fred is not happy. | entailment | (![X]:(patient(X)=>(~rich(X)&~patient(X))))&
(((~humble(fred)<~>rich(fred)))=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:(generous(X)<=>(curious(X)|~brave(X))))&
(![X]:(~humble(X)<=>(quiet(X)<~>~funny(X))))&
(![X]:((~happy(X)&wise(X))=>(brave(X)<~>~old(X))))&
(![X]:(patient(X)<=>(~strong(X)|~calm(X))))&
(![X]:((tall(X)|cr... | ~happy(fred) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 42926659961514098625870
% SZS output start Proof for 42926659961514098625870
1. ! [X0] : (patient(X0) => (~patient(X0) & ~rich(X0))) [input p0]
3. ! [X0] : (generous(X0) <=> (~brave(X0) | curious(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> (quiet(X0) <~> ~funny(X0))) [input p3]
6. ! [X0... | 0 |
Everyone who is either not humble or generous is either not quiet or not wise and vice versa. Everyone who is both not old and not wise is either not humble or not funny. Everyone who is not old is calm. Everyone who is both not generous and creative is both not humble and not funny and vice versa. If susan is both gen... | Paul is not generous. | contradiction | (![X]:((~humble(X)<~>generous(X))<=>(~quiet(X)<~>~wise(X))))&
(![X]:((~old(X)&~wise(X))=>(~humble(X)<~>~funny(X))))&
(![X]:(~old(X)=>calm(X)))&
(![X]:((~generous(X)&creative(X))<=>(~humble(X)&~funny(X))))&
(((generous(susan)&~old(susan)))=>(?[X]:((~old(X)<~>~patient(X)))))&
((?[X]:((~happy(X)|~kind(X))))<=>(?[X]:(~rich... | ~generous(paul) | [
"p0",
"p3",
"p11",
"p12",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6251879521259292818279098
% SZS output start Proof for 6251879521259292818279098
1. ! [X0] : ((~humble(X0) <~> generous(X0)) <=> (~quiet(X0) <~> ~wise(X0))) [input p0]
4. ! [X0] : ((creative(X0) & ~generous(X0)) <=> (~funny(X0) & ~humble(X0))) [input p3]
12. ! [X0] : ((brave(X0) <~> ~quie... | 0 |
If someone is both tall and curious then fred is tall.
Everyone who is tall is not funny and vice versa.
Everyone who is not creative is not calm or wise and vice versa.
If john is either not kind or humble then susan is kind and vice versa.
If someone is rich then someone is both not wise and not generous.
If someone ... | John is humble. | entailment | ((?[X]:((tall(X)&curious(X))))=>(tall(fred)))&
(![X]:(tall(X)<=>~funny(X)))&
(![X]:(~creative(X)<=>(~calm(X)|wise(X))))&
(((~kind(john)<~>humble(john)))<=>(kind(susan)))&
((?[X]:(rich(X)))=>(?[X]:((~wise(X)&~generous(X)))))&
((?[X]:((~kind(X)|~curious(X))))<=>(?[X]:(brave(X))))&
(![X]:((~strong(X)|~tall(X))<=>(~curious... | humble(john) | [
"p3",
"p5",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1077036298724392090794483
% SZS output start Proof for 1077036298724392090794483
4. (~kind(john) <~> humble(john)) <=> kind(susan) [input p3]
6. ? [X0] : (~curious(X0) | ~kind(X0)) <=> ? [X0] : brave(X0) [input p5]
10. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) | ~wise(X0))) [input p... | 0 |
If mary is both generous and brave then alice is not wise or not kind and vice versa.
If someone is both not rich and quiet then paul is old and vice versa.
Everyone who is both not funny and not humble is both not strong and wise and vice versa.
If someone is both strong and not generous then someone is not patient or... | Fred is not calm. | contradiction | (((generous(mary)&brave(mary)))<=>((~wise(alice)|~kind(alice))))&
((?[X]:((~rich(X)&quiet(X))))<=>(old(paul)))&
(![X]:((~funny(X)&~humble(X))<=>(~strong(X)&wise(X))))&
((?[X]:((strong(X)&~generous(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((~strong(X)<~>~quiet(X))<=>strong(X)))&
(![X]:((calm(X)|~wise(X))<=>(~wise... | ~calm(fred) | [
"p2",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5119079944539223947632570
% SZS output start Proof for 5119079944539223947632570
3. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (wise(X0) & ~strong(X0))) [input p2]
6. ! [X0] : ((~wise(X0) | calm(X0)) <=> (strong(X0) | ~wise(X0))) [input p5]
8. ! [X0] : ((creative(X0) & wise(X0)) <=> (tall(X... | 0 |
If john is both not happy and not curious then fred is either not brave or old and vice versa.
If someone is not generous or curious then paul is not curious.
If someone is both not generous and not rich then fred is not humble or patient and vice versa.
If susan is both not kind and not quiet then alice is either not ... | John is not kind. | neutral | (((~happy(john)&~curious(john)))<=>((~brave(fred)<~>old(fred))))&
((?[X]:((~generous(X)|curious(X))))=>(~curious(paul)))&
((?[X]:((~generous(X)&~rich(X))))<=>((~humble(fred)|patient(fred))))&
(((~kind(susan)&~quiet(susan)))=>((~rich(alice)<~>tall(alice))))&
(![X]:((happy(X)&~tall(X))=>(strong(X)&~creative(X))))&
((?[X]... | ~kind(john) | [] | null | 0 |
If mary is both rich and not generous then alice is either not kind or kind and vice versa. If someone is both not humble and not rich then alice is both funny and not tall. Everyone who is brave is either not wise or not old and vice versa. If lucy is either quiet or kind then john is both not brave and creative. If s... | John is patient. | contradiction | (((rich(mary)&~generous(mary)))<=>((~kind(alice)<~>kind(alice))))&
((?[X]:((~humble(X)&~rich(X))))=>((funny(alice)&~tall(alice))))&
(![X]:(brave(X)<=>(~wise(X)<~>~old(X))))&
(((quiet(lucy)<~>kind(lucy)))=>((~brave(john)&creative(john))))&
((?[X]:(~kind(X)))<=>(?[X]:((wise(X)&~strong(X)))))&
((~humble(alice))<=>((~gener... | patient(john) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7287570243461806351847216
% SZS output start Proof for 7287570243461806351847216
9. ! [X0] : (rich(X0) <=> (~happy(X0) | patient(X0))) [input p8]
13. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (patient(X0) | wise(X0))) [input p12]
24. patient(john) [input hypothesis]
49. ! [X0] : ((rich(X0) | (... | 0 |
Everyone who is not creative or not kind is not brave and vice versa.
Everyone who is both not patient and tall is wise or not rich.
Everyone who is not curious or not funny is not happy or calm.
Everyone who is not generous is either not funny or not calm.
If fred is brave then mary is not rich.
Everyone who is both n... | John is not generous. | neutral | (![X]:((~creative(X)|~kind(X))<=>~brave(X)))&
(![X]:((~patient(X)&tall(X))=>(wise(X)|~rich(X))))&
(![X]:((~curious(X)|~funny(X))=>(~happy(X)|calm(X))))&
(![X]:(~generous(X)=>(~funny(X)<~>~calm(X))))&
((brave(fred))=>(~rich(mary)))&
(![X]:((~humble(X)&~strong(X))<=>(wise(X)&~happy(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~wi... | ~generous(john) | [] | null | 0 |
Everyone who is either not curious or brave is both not quiet and patient.
Everyone who is both patient and not humble is not creative.
Everyone who is either creative or calm is both old and not strong and vice versa.
If someone is brave then someone is both not old and curious.
Everyone who is both patient and funny ... | Lucy is brave. | contradiction | (![X]:((~curious(X)<~>brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((patient(X)&~humble(X))=>~creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(old(X)&~strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((patient(X)&funny(X))<=>(quiet(X)&humble(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>wise(X)))&
((~gene... | brave(lucy) | [
"p3",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 738618895208551298732657
% SZS output start Proof for 738618895208551298732657
4. ? [X0] : brave(X0) => ? [X0] : (curious(X0) & ~old(X0)) [input p3]
8. ! [X0] : (~brave(X0) => (happy(X0) & ~curious(X0))) [input p7]
10. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) | strong(X0))) [i... | 0 |
If someone is both creative and wise then someone is not tall or wise.
Everyone who is either quiet or not curious is not kind.
If john is not happy then someone is both humble and not wise.
Everyone who is not old is either happy or not happy.
Everyone who is not quiet is either not happy or tall and vice versa.
Every... | John is kind. | contradiction | ((?[X]:((creative(X)&wise(X))))=>(?[X]:((~tall(X)|wise(X)))))&
(![X]:((quiet(X)<~>~curious(X))=>~kind(X)))&
((~happy(john))=>(?[X]:((humble(X)&~wise(X)))))&
(![X]:(~old(X)=>(happy(X)<~>~happy(X))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>tall(X))))&
(![X]:((~tall(X)&~patient(X))<=>(humble(X)|curious(X))))&
(![X]:((~generous(X... | kind(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2919269157608551396947194
% SZS output start Proof for 2919269157608551396947194
2. ! [X0] : ((quiet(X0) <~> ~curious(X0)) => ~kind(X0)) [input p1]
3. ~happy(john) => ? [X0] : (~wise(X0) & humble(X0)) [input p2]
5. ! [X0] : (~quiet(X0) <=> (~happy(X0) <~> tall(X0))) [input p4]
6. ! [X0] :... | 0 |
If someone is either happy or not creative then someone is either not humble or not strong.
If someone is calm or old then someone is not wise or wise and vice versa.
Everyone who is not funny or rich is both not calm and tall.
Everyone who is not old is kind and vice versa.
If john is not strong then someone is creati... | Mary is funny. | entailment | ((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~humble(X)<~>~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~funny(X)|rich(X))=>(~calm(X)&tall(X))))&
(![X]:(~old(X)<=>kind(X)))&
((~strong(john))<=>(?[X]:((creative(X)|~patient(X)))))&
(((~curious(paul)<~>~rich(paul)))<=>((~kind(lucy)&hum... | funny(mary) | [
"p2",
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6940740985265638747107653
% SZS output start Proof for 6940740985265638747107653
3. ! [X0] : ((rich(X0) | ~funny(X0)) => (tall(X0) & ~calm(X0))) [input p2]
5. ~strong(john) <=> ? [X0] : (~patient(X0) | creative(X0)) [input p4]
8. ! [X0] : (~humble(X0) <=> (~strong(X0) <~> ~humble(X0))) [i... | 0 |
Everyone who is either funny or happy is patient or not patient. Everyone who is not kind is both not brave and old. If alice is kind or not wise then someone is not creative or not generous. Everyone who is funny or curious is not curious or funny. Everyone who is calm or creative is not generous. Everyone who is eith... | Susan is not quiet. | neutral | (![X]:((funny(X)<~>happy(X))=>(patient(X)|~patient(X))))&
(![X]:(~kind(X)=>(~brave(X)&old(X))))&
(((kind(alice)|~wise(alice)))=>(?[X]:((~creative(X)|~generous(X)))))&
(![X]:((funny(X)|curious(X))=>(~curious(X)|funny(X))))&
(![X]:((calm(X)|creative(X))=>~generous(X)))&
(![X]:((~brave(X)<~>~generous(X))=>(quiet(X)<~>~cre... | ~quiet(susan) | [] | null | 0 |
If mary is not quiet then someone is generous or not patient.
Everyone who is either not old or not curious is either generous or patient and vice versa.
Everyone who is not rich is not calm and vice versa.
Everyone who is not wise is not funny and vice versa.
If fred is brave or not humble then someone is not curious ... | Lucy is old. | neutral | ((~quiet(mary))=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~old(X)<~>~curious(X))<=>(generous(X)<~>patient(X))))&
(![X]:(~rich(X)<=>~calm(X)))&
(![X]:(~wise(X)<=>~funny(X)))&
(((brave(fred)|~humble(fred)))<=>(?[X]:((~curious(X)|~rich(X)))))&
(![X]:(~brave(X)=>humble(X)))&
(![X]:((~humble(X)<~>old(X))=>quiet(X)))&
((... | old(lucy) | [] | null | 0 |
If lucy is both humble and funny then someone is both not creative and not kind.
If john is quiet then paul is creative and vice versa.
If paul is old or rich then someone is not brave or happy.
Everyone who is rich or not curious is both kind and calm and vice versa.
Everyone who is not funny or curious is strong and ... | Mary is strong. | neutral | (((humble(lucy)&funny(lucy)))=>(?[X]:((~creative(X)&~kind(X)))))&
((quiet(john))<=>(creative(paul)))&
(((old(paul)|rich(paul)))=>(?[X]:((~brave(X)|happy(X)))))&
(![X]:((rich(X)|~curious(X))<=>(kind(X)&calm(X))))&
(![X]:((~funny(X)|curious(X))<=>strong(X)))&
(((generous(alice)<~>~happy(alice)))=>(rich(lucy)))&
((?[X]:((... | strong(mary) | [] | null | 0 |
Everyone who is not creative is either funny or not kind.
If someone is either kind or not strong then susan is tall or not creative.
Everyone who is kind or curious is calm.
If someone is tall then paul is both not patient and happy and vice versa.
Everyone who is either not patient or not curious is wise and vice ver... | Susan is not generous. | neutral | (![X]:(~creative(X)=>(funny(X)<~>~kind(X))))&
((?[X]:((kind(X)<~>~strong(X))))=>((tall(susan)|~creative(susan))))&
(![X]:((kind(X)|curious(X))=>calm(X)))&
((?[X]:(tall(X)))<=>((~patient(paul)&happy(paul))))&
(![X]:((~patient(X)<~>~curious(X))<=>wise(X)))&
(((~curious(fred)|patient(fred)))=>((kind(paul)<~>~wise(paul))))... | ~generous(susan) | [] | null | 0 |
Everyone who is either not strong or not humble is both not funny and not curious and vice versa.
Everyone who is curious is both tall and strong.
If someone is either not funny or not old then someone is calm.
If someone is patient or not strong then someone is both patient and not curious.
If someone is not strong or... | Susan is not creative. | contradiction | (![X]:((~strong(X)<~>~humble(X))<=>(~funny(X)&~curious(X))))&
(![X]:(curious(X)=>(tall(X)&strong(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(?[X]:(calm(X))))&
((?[X]:((patient(X)|~strong(X))))=>(?[X]:((patient(X)&~curious(X)))))&
((?[X]:((~strong(X)|~rich(X))))=>(?[X]:((old(X)&tall(X)))))&
(![X]:((creative(X)&~calm(X))<=>... | ~creative(susan) | [
"p0",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8952612882599366165609262
% SZS output start Proof for 8952612882599366165609262
1. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> (~curious(X0) & ~funny(X0))) [input p0]
7. (~humble(susan) & strong(susan)) <=> ? [X0] : (patient(X0) & ~creative(X0)) [input p6]
9. ! [X0] : ((~patient(X0) | ~f... | 0 |
Everyone who is both wise and not brave is not calm and vice versa.
Everyone who is not generous or generous is old.
Everyone who is not happy or wise is both generous and not calm and vice versa.
If someone is both curious and humble then mary is not patient or brave and vice versa.
If alice is both not rich and not f... | Alice is not calm. | entailment | (![X]:((wise(X)&~brave(X))<=>~calm(X)))&
(![X]:((~generous(X)|generous(X))=>old(X)))&
(![X]:((~happy(X)|wise(X))<=>(generous(X)&~calm(X))))&
((?[X]:((curious(X)&humble(X))))<=>((~patient(mary)|brave(mary))))&
(((~rich(alice)&~funny(alice)))=>((~strong(lucy)|~calm(lucy))))&
((?[X]:((tall(X)|~brave(X))))=>(?[X]:((~creati... | ~calm(alice) | [
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7028754806891763672859448
% SZS output start Proof for 7028754806891763672859448
2. ! [X0] : ((generous(X0) | ~generous(X0)) => old(X0)) [input p1]
8. ! [X0] : ((~generous(X0) | tall(X0)) <=> ~old(X0)) [input p7]
11. ~tall(mary) => (~curious(alice) & ~calm(alice)) [input p10]
22. calm(ali... | 0 |
If lucy is both old and not curious then mary is both not creative and old.
If someone is both rich and patient then someone is either curious or calm and vice versa.
If mary is both quiet and not generous then someone is not happy or not old and vice versa.
Everyone who is both not happy and not kind is calm or quiet ... | Mary is quiet. | entailment | (((old(lucy)&~curious(lucy)))=>((~creative(mary)&old(mary))))&
((?[X]:((rich(X)&patient(X))))<=>(?[X]:((curious(X)<~>calm(X)))))&
(((quiet(mary)&~generous(mary)))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((~happy(X)&~kind(X))<=>(calm(X)|quiet(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(~brave(lucy)))&
(((humble(mary)<~>ca... | quiet(mary) | [
"p2",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2750833243728930309382731
% SZS output start Proof for 2750833243728930309382731
3. (~generous(mary) & quiet(mary)) <=> ? [X0] : (~old(X0) | ~happy(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (quiet(X0) | calm(X0))) [input p3]
18. ~calm(john) & quiet(john) [input p17]
23. ~q... | 0 |
If john is not tall or not generous then lucy is kind or not rich and vice versa.
If someone is tall or curious then someone is curious.
Everyone who is either not rich or not creative is either calm or not quiet and vice versa.
Everyone who is not humble is both patient and rich.
If susan is wise then paul is both cur... | Lucy is generous. | neutral | (((~tall(john)|~generous(john)))<=>((kind(lucy)|~rich(lucy))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:(curious(X))))&
(![X]:((~rich(X)<~>~creative(X))<=>(calm(X)<~>~quiet(X))))&
(![X]:(~humble(X)=>(patient(X)&rich(X))))&
((wise(susan))=>((curious(paul)&funny(paul))))&
(![X]:((patient(X)<~>~generous(X))<=>(~rich(X)&pati... | generous(lucy) | [] | null | 0 |
If someone is either patient or kind then fred is either not rich or brave.
If mary is patient or happy then mary is either quiet or strong.
Everyone who is either happy or old is either happy or not brave.
Everyone who is not brave is tall or brave and vice versa.
Everyone who is calm is not curious and vice versa.
If... | Paul is not rich. | entailment | ((?[X]:((patient(X)<~>kind(X))))=>((~rich(fred)<~>brave(fred))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>old(X))=>(happy(X)<~>~brave(X))))&
(![X]:(~brave(X)<=>(tall(X)|brave(X))))&
(![X]:(calm(X)<=>~curious(X)))&
(((old(susan)<~>~patient(susan)))<=>((~calm(john)|curious(john... | ~rich(paul) | [
"p4",
"p6",
"p8",
"p13",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 884883000056215873212230
% SZS output start Proof for 884883000056215873212230
5. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p4]
7. ! [X0] : (old(X0) <=> (~rich(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : (~calm(X0) => ~rich(X0)) [input p8]
14. ? [X0] : (~curious(X0) <~> creative(X0)) => ... | 0 |
Everyone who is creative or wise is not funny or old and vice versa.
Everyone who is either not brave or patient is either old or brave and vice versa.
Everyone who is brave or not curious is either happy or not humble and vice versa.
If alice is quiet or strong then susan is both quiet and not old.
Everyone who is not... | Susan is not calm. | neutral | (![X]:((creative(X)|wise(X))<=>(~funny(X)|old(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)<~>brave(X))))&
(![X]:((brave(X)|~curious(X))<=>(happy(X)<~>~humble(X))))&
(((quiet(alice)|strong(alice)))=>((quiet(susan)&~old(susan))))&
(![X]:((~generous(X)|wise(X))=>(strong(X)|~quiet(X))))&
(((~happy(alice)|quiet(alice)))... | ~calm(susan) | [] | null | 0 |
Everyone who is either humble or not kind is both not happy and not creative and vice versa. If someone is not funny then someone is both not humble and happy and vice versa. Everyone who is not quiet is not patient or quiet. If someone is humble then alice is not curious and vice versa. Everyone who is humble is not f... | Lucy is not creative. | contradiction | (![X]:((humble(X)<~>~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~humble(X)&happy(X)))))&
(![X]:(~quiet(X)=>(~patient(X)|quiet(X))))&
((?[X]:(humble(X)))<=>(~curious(alice)))&
(![X]:(humble(X)<=>~funny(X)))&
((?[X]:((generous(X)|calm(X))))<=>(~happy(lucy)))&
((?[X]:(tall(X)))<=>(?[X]:((~happy(X... | ~creative(lucy) | [
"p0",
"p4",
"p5",
"p9",
"p10",
"p11",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2078030241582481639545798
% SZS output start Proof for 2078030241582481639545798
1. ! [X0] : ((humble(X0) <~> ~kind(X0)) <=> (~creative(X0) & ~happy(X0))) [input p0]
5. ! [X0] : (humble(X0) <=> ~funny(X0)) [input p4]
6. ? [X0] : (calm(X0) | generous(X0)) <=> ~happy(lucy) [input p5]
10. ! ... | 0 |
Everyone who is both funny and not calm is either happy or not funny and vice versa.
Everyone who is strong or not humble is either not strong or calm and vice versa.
Everyone who is both not strong and not old is quiet.
Everyone who is either not wise or not patient is both not patient and not funny and vice versa.
Ev... | John is not old. | contradiction | (![X]:((funny(X)&~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((strong(X)|~humble(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((~strong(X)&~old(X))=>quiet(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(~patient(X)&~funny(X))))&
(![X]:(quiet(X)=>(curious(X)&old(X))))&
(![X]:(~funny(X)=>(happy(X)&~strong(X))))&
((?[X]:((brave(X)<~>~p... | ~old(john) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 686361249800236177821374
% SZS output start Proof for 686361249800236177821374
1. ! [X0] : ((~calm(X0) & funny(X0)) <=> (happy(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~strong(X0) <~> calm(X0))) [input p1]
3. ! [X0] : ((~old(X0) & ~strong(X0)) => quiet(... | 0 |
Everyone who is either humble or not curious is either not rich or kind.
Everyone who is either rich or not old is rich or creative and vice versa.
If someone is not funny then alice is strong or not old.
Everyone who is either not curious or patient is either not humble or not patient and vice versa.
If lucy is not ca... | Alice is not calm. | contradiction | (![X]:((humble(X)<~>~curious(X))=>(~rich(X)<~>kind(X))))&
(![X]:((rich(X)<~>~old(X))<=>(rich(X)|creative(X))))&
((?[X]:(~funny(X)))=>((strong(alice)|~old(alice))))&
(![X]:((~curious(X)<~>patient(X))<=>(~humble(X)<~>~patient(X))))&
(((~calm(lucy)|rich(lucy)))=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)&old(X))=>(brave(X)&~pa... | ~calm(alice) | [
"p1",
"p2",
"p3",
"p6",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2288734957703059451955918
% SZS output start Proof for 2288734957703059451955918
2. ! [X0] : ((rich(X0) <~> ~old(X0)) <=> (creative(X0) | rich(X0))) [input p1]
3. ? [X0] : ~funny(X0) => (~old(alice) | strong(alice)) [input p2]
4. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> (~humble(X0) <... | 0 |
Everyone who is both not patient and not brave is both rich and not happy.
Everyone who is not happy or humble is patient and vice versa.
If lucy is either old or tall then john is tall.
Everyone who is either not creative or brave is both not humble and old and vice versa.
Everyone who is either not creative or not fu... | Susan is not tall. | contradiction | (![X]:((~patient(X)&~brave(X))=>(rich(X)&~happy(X))))&
(![X]:((~happy(X)|humble(X))<=>patient(X)))&
(((old(lucy)<~>tall(lucy)))=>(tall(john)))&
(![X]:((~creative(X)<~>brave(X))<=>(~humble(X)&old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>(kind(X)<~>patient(X))))&
(![X]:(~rich(X)=>(tall(X)<~>~strong(X))))&
((?[X]:((quiet... | ~tall(susan) | [
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9197997049397482689989955
% SZS output start Proof for 9197997049397482689989955
14. ! [X0] : ((tall(X0) & calm(X0)) <=> (wise(X0) | ~generous(X0))) [input p13]
23. wise(susan) [input p22]
24. ~tall(susan) [input hypothesis]
61. ! [X0] : (((tall(X0) & calm(X0)) | (~wise(X0) & generous(X0)... | 0 |
If alice is not quiet then someone is not strong or not funny and vice versa.
Everyone who is not brave or old is either patient or rich.
If someone is quiet then fred is either rich or tall.
If john is funny then someone is both old and not calm and vice versa.
If lucy is brave or calm then susan is creative and vice ... | Susan is creative. | contradiction | ((~quiet(alice))<=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:((~brave(X)|old(X))=>(patient(X)<~>rich(X))))&
((?[X]:(quiet(X)))=>((rich(fred)<~>tall(fred))))&
((funny(john))<=>(?[X]:((old(X)&~calm(X)))))&
(((brave(lucy)|calm(lucy)))<=>(creative(susan)))&
(![X]:((strong(X)&calm(X))<=>(~generous(X)|~rich(X))))&
(![X]:((quie... | creative(susan) | [
"p1",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3229589140948113919842120
% SZS output start Proof for 3229589140948113919842120
2. ! [X0] : ((old(X0) | ~brave(X0)) => (patient(X0) <~> rich(X0))) [input p1]
6. ! [X0] : ((calm(X0) & strong(X0)) <=> (~rich(X0) | ~generous(X0))) [input p5]
7. ! [X0] : ((~old(X0) & quiet(X0)) <=> ~patient(... | 0 |
If lucy is not creative or not calm then someone is calm.
Everyone who is brave is both not humble and not creative and vice versa.
Everyone who is both tall and quiet is calm and vice versa.
Everyone who is old or strong is not quiet and vice versa.
Everyone who is both tall and not funny is both rich and not creative... | Fred is curious. | neutral | (((~creative(lucy)|~calm(lucy)))=>(?[X]:(calm(X))))&
(![X]:(brave(X)<=>(~humble(X)&~creative(X))))&
(![X]:((tall(X)&quiet(X))<=>calm(X)))&
(![X]:((old(X)|strong(X))<=>~quiet(X)))&
(![X]:((tall(X)&~funny(X))<=>(rich(X)&~creative(X))))&
(![X]:((rich(X)&~strong(X))=>(patient(X)<~>humble(X))))&
(![X]:((~funny(X)&~happy(X))... | curious(fred) | [] | null | 0 |
If lucy is either brave or not rich then someone is brave or kind and vice versa.
If john is both not generous and calm then someone is either kind or not patient and vice versa.
If fred is calm or not happy then mary is both not old and not strong.
Everyone who is either not curious or funny is creative or not strong.... | John is happy. | entailment | (((brave(lucy)<~>~rich(lucy)))<=>(?[X]:((brave(X)|kind(X)))))&
(((~generous(john)&calm(john)))<=>(?[X]:((kind(X)<~>~patient(X)))))&
(((calm(fred)|~happy(fred)))=>((~old(mary)&~strong(mary))))&
(![X]:((~curious(X)<~>funny(X))=>(creative(X)|~strong(X))))&
((?[X]:((~happy(X)&~calm(X))))<=>((~old(susan)|brave(susan))))&
(!... | happy(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 348200903429538317958947
% SZS output start Proof for 348200903429538317958947
6. ! [X0] : ((tall(X0) <~> ~tall(X0)) => (~wise(X0) & happy(X0))) [input p5]
25. ~happy(john) [input hypothesis]
31. ! [X0] : ((~wise(X0) & happy(X0)) | (tall(X0) <=> ~tall(X0))) [ennf transformation 6]
56. ! [... | 0 |
Everyone who is not humble is calm or funny. If mary is not strong then someone is creative and vice versa. If paul is happy then someone is not strong and vice versa. If lucy is either patient or not wise then lucy is not happy and vice versa. Everyone who is both patient and old is not old. Everyone who is both gener... | Paul is funny. | entailment | (![X]:(~humble(X)=>(calm(X)|funny(X))))&
((~strong(mary))<=>(?[X]:(creative(X))))&
((happy(paul))<=>(?[X]:(~strong(X))))&
(((patient(lucy)<~>~wise(lucy)))<=>(~happy(lucy)))&
(![X]:((patient(X)&old(X))=>~old(X)))&
(![X]:((generous(X)&~strong(X))=>tall(X)))&
((?[X]:((~happy(X)<~>~funny(X))))<=>(~generous(lucy)))&
(((gene... | funny(paul) | [
"p2",
"p6",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7258911348979548603876563
% SZS output start Proof for 7258911348979548603876563
3. happy(paul) <=> ? [X0] : ~strong(X0) [input p2]
7. ? [X0] : (~happy(X0) <~> ~funny(X0)) <=> ~generous(lucy) [input p6]
11. ? [X0] : (quiet(X0) | happy(X0)) => ~strong(fred) [input p10]
13. (generous(lucy) ... | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is not quiet or not old is calm and vice versa.
If john is not wise or curious then someone is not patient.
If paul is strong or old then paul is not tall and vice versa.
If someone is wise or kind then someone is both quiet and calm and vice versa.
I... | Paul is wise. | contradiction | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((quiet(X)&calm(X)))))&
(((happy(lucy)&wise(lucy)))<=>(quiet(susan)))&
(((curious(alice)|... | wise(paul) | [
"p1",
"p4",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1843353886105127854115477
% SZS output start Proof for 1843353886105127854115477
2. ! [X0] : ((~old(X0) | ~quiet(X0)) <=> calm(X0)) [input p1]
5. ? [X0] : (kind(X0) | wise(X0)) <=> ? [X0] : (calm(X0) & quiet(X0)) [input p4]
8. ! [X0] : ((~humble(X0) | ~old(X0)) <=> funny(X0)) [input p7]
1... | 0 |
If someone is either creative or not patient then alice is either not funny or not strong and vice versa.
If someone is either generous or curious then someone is wise and vice versa.
If someone is not generous then lucy is either rich or old and vice versa.
If someone is not brave then someone is either kind or not cu... | Lucy is kind. | contradiction | ((?[X]:((creative(X)<~>~patient(X))))<=>((~funny(alice)<~>~strong(alice))))&
((?[X]:((generous(X)<~>curious(X))))<=>(?[X]:(wise(X))))&
((?[X]:(~generous(X)))<=>((rich(lucy)<~>old(lucy))))&
((?[X]:(~brave(X)))=>(?[X]:((kind(X)<~>~curious(X)))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((tall(X)<~>~creative(X)))))&
(![X... | kind(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4085927541611571764494021
% SZS output start Proof for 4085927541611571764494021
14. ! [X0] : (~kind(X0) <=> (strong(X0) <~> ~strong(X0))) [input p13]
25. kind(lucy) [input hypothesis]
82. ! [X0] : ((~kind(X0) | ((strong(X0) | strong(X0)) & (~strong(X0) | ~strong(X0)))) & (((strong(X0) | ... | 0 |
If someone is creative then someone is not humble and vice versa. If susan is quiet then john is not funny or happy. Everyone who is funny or curious is either not quiet or not kind. Everyone who is both funny and generous is either quiet or not old. If someone is both not quiet and patient then mary is quiet or happy.... | Paul is not happy. | entailment | ((?[X]:(creative(X)))<=>(?[X]:(~humble(X))))&
((quiet(susan))=>((~funny(john)|happy(john))))&
(![X]:((funny(X)|curious(X))=>(~quiet(X)<~>~kind(X))))&
(![X]:((funny(X)&generous(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~quiet(X)&patient(X))))=>((quiet(mary)|happy(mary))))&
((?[X]:((wise(X)|tall(X))))=>(?[X]:((creative(X)|~c... | ~happy(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2307397721749998282516582
% SZS output start Proof for 2307397721749998282516582
16. ! [X0] : ((happy(X0) | ~tall(X0)) => ~happy(X0)) [input p15]
25. happy(paul) [input hypothesis]
38. ! [X0] : (~happy(X0) | (~happy(X0) & tall(X0))) [ennf transformation 16]
140. ~happy(X0) | ~happy(X0) [c... | 0 |
If someone is either not wise or not old then someone is not humble or not curious and vice versa.
Everyone who is tall is either curious or rich and vice versa.
Everyone who is not funny is both not brave and funny.
Everyone who is both not kind and kind is patient.
If john is both old and not patient then lucy is eit... | John is wise. | neutral | ((?[X]:((~wise(X)<~>~old(X))))<=>(?[X]:((~humble(X)|~curious(X)))))&
(![X]:(tall(X)<=>(curious(X)<~>rich(X))))&
(![X]:(~funny(X)=>(~brave(X)&funny(X))))&
(![X]:((~kind(X)&kind(X))=>patient(X)))&
(((old(john)&~patient(john)))=>((~happy(lucy)<~>rich(lucy))))&
(![X]:((~brave(X)|~quiet(X))<=>~happy(X)))&
((~patient(mary))=... | wise(john) | [] | null | 0 |
If john is not strong or happy then someone is both funny and not quiet.
If someone is wise or kind then someone is not humble or not generous.
If someone is not patient then john is both rich and old.
Everyone who is both brave and curious is funny and vice versa.
If someone is both funny and kind then alice is both n... | Paul is not humble. | contradiction | (((~strong(john)|happy(john)))=>(?[X]:((funny(X)&~quiet(X)))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((~humble(X)|~generous(X)))))&
((?[X]:(~patient(X)))=>((rich(john)&old(john))))&
(![X]:((brave(X)&curious(X))<=>funny(X)))&
((?[X]:((funny(X)&kind(X))))=>((~tall(alice)&~old(alice))))&
((?[X]:(old(X)))=>((brave(paul)<~>ca... | ~humble(paul) | [
"p7",
"p10",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7276298988277402349105322
% SZS output start Proof for 7276298988277402349105322
8. ! [X0] : (~happy(X0) <=> (~kind(X0) | generous(X0))) [input p7]
11. ! [X0] : ((~generous(X0) & ~happy(X0)) => (curious(X0) & calm(X0))) [input p10]
13. ! [X0] : ((generous(X0) | kind(X0)) => (strong(X0) <~... | 0 |
Everyone who is both not brave and old is either creative or strong and vice versa. Everyone who is generous or tall is not kind and vice versa. Everyone who is quiet or not creative is both not wise and not brave and vice versa. Everyone who is not funny is not old or tall and vice versa. If john is both happy and not... | Fred is not strong. | entailment | (![X]:((~brave(X)&old(X))<=>(creative(X)<~>strong(X))))&
(![X]:((generous(X)|tall(X))<=>~kind(X)))&
(![X]:((quiet(X)|~creative(X))<=>(~wise(X)&~brave(X))))&
(![X]:(~funny(X)<=>(~old(X)|tall(X))))&
(((happy(john)&~funny(john)))<=>((kind(fred)&~kind(fred))))&
(![X]:((~calm(X)|wise(X))=>kind(X)))&
((?[X]:((tall(X)|old(X))... | ~strong(fred) | [
"p0",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7219560775216747597261127
% SZS output start Proof for 7219560775216747597261127
1. ! [X0] : ((old(X0) & ~brave(X0)) <=> (creative(X0) <~> strong(X0))) [input p0]
7. ? [X0] : (old(X0) | tall(X0)) <=> (creative(fred) & calm(fred)) [input p6]
11. ! [X0] : (~happy(X0) <=> (happy(X0) <~> ~cre... | 0 |
If someone is either not creative or happy then lucy is not creative and vice versa.
If john is not quiet or brave then paul is either not rich or curious and vice versa.
Everyone who is quiet is not calm and vice versa.
If paul is not curious or tall then someone is either curious or rich and vice versa.
Everyone who ... | Alice is not rich. | entailment | ((?[X]:((~creative(X)<~>happy(X))))<=>(~creative(lucy)))&
(((~quiet(john)|brave(john)))<=>((~rich(paul)<~>curious(paul))))&
(![X]:(quiet(X)<=>~calm(X)))&
(((~curious(paul)|tall(paul)))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((rich(X)<~>tall(X))=>(wise(X)<~>~creative(X))))&
(![X]:((humble(X)|rich(X))<=>funny(X)))&
(!... | ~rich(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 283435908968683018206000
% SZS output start Proof for 283435908968683018206000
7. ! [X0] : (tall(X0) <=> (rich(X0) & ~tall(X0))) [input p6]
25. rich(alice) [input hypothesis]
50. ! [X0] : ((tall(X0) | (~rich(X0) | tall(X0))) & ((rich(X0) & ~tall(X0)) | ~tall(X0))) [nnf transformation 7]
5... | 0 |
If someone is either funny or not strong then someone is not wise and vice versa.
Everyone who is either not wise or quiet is either not calm or tall and vice versa.
If lucy is either rich or not humble then fred is both not kind and not tall and vice versa.
If susan is generous then someone is both not funny and funny... | Paul is not kind. | contradiction | ((?[X]:((funny(X)<~>~strong(X))))<=>(?[X]:(~wise(X))))&
(![X]:((~wise(X)<~>quiet(X))<=>(~calm(X)<~>tall(X))))&
(((rich(lucy)<~>~humble(lucy)))<=>((~kind(fred)&~tall(fred))))&
((generous(susan))<=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((quiet(X)|~kind(X))))=>((funny(paul)&~funny(paul))))&
((~old(susan))<=>(?[X]:((~old(... | ~kind(paul) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 564859689848062183121971
% SZS output start Proof for 564859689848062183121971
5. ? [X0] : (~kind(X0) | quiet(X0)) => (~funny(paul) & funny(paul)) [input p4]
17. ~brave(paul) & ~funny(paul) [input p16]
24. ~kind(paul) [input hypothesis]
29. (~funny(paul) & funny(paul)) | ! [X0] : (kind(X0... | 0 |
If someone is kind or not tall then fred is old and vice versa.
Everyone who is both not wise and old is either not wise or curious.
Everyone who is not funny or quiet is not quiet and vice versa.
If susan is either strong or funny then someone is wise and vice versa.
If mary is both not calm and curious then susan is ... | Alice is quiet. | contradiction | ((?[X]:((kind(X)|~tall(X))))<=>(old(fred)))&
(![X]:((~wise(X)&old(X))=>(~wise(X)<~>curious(X))))&
(![X]:((~funny(X)|quiet(X))<=>~quiet(X)))&
(((strong(susan)<~>funny(susan)))<=>(?[X]:(wise(X))))&
(((~calm(mary)&curious(mary)))=>((~calm(susan)|rich(susan))))&
(((~wise(fred)|funny(fred)))<=>(?[X]:((funny(X)|~calm(X)))))&... | quiet(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6669398287875623986383673
% SZS output start Proof for 6669398287875623986383673
3. ! [X0] : ((quiet(X0) | ~funny(X0)) <=> ~quiet(X0)) [input p2]
24. quiet(alice) [input hypothesis]
42. ! [X0] : (((quiet(X0) | ~funny(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & funny(X0)))) [nnf transf... | 0 |
Everyone who is both strong and not creative is generous or not quiet. If someone is funny or not generous then john is both strong and not creative. If susan is calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous a... | John is curious. | entailment | (![X]:((strong(X)&~creative(X))=>(generous(X)|~quiet(X))))&
((?[X]:((funny(X)|~generous(X))))=>((strong(john)&~creative(john))))&
((calm(susan))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X... | curious(john) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4624840684361353523798072
% SZS output start Proof for 4624840684361353523798072
1. ! [X0] : ((~creative(X0) & strong(X0)) => (~quiet(X0) | generous(X0))) [input p0]
2. ? [X0] : (~generous(X0) | funny(X0)) => (~creative(john) & strong(john)) [input p1]
5. ! [X0] : (~generous(X0) <=> (gene... | 0 |
Everyone who is either not kind or strong is not strong or not old and vice versa. If someone is tall or not kind then someone is strong or rich. If john is both not humble and brave then alice is either not tall or kind. If someone is both not happy and not strong then john is both not curious and kind. Everyone who i... | Lucy is not strong. | neutral | (![X]:((~kind(X)<~>strong(X))<=>(~strong(X)|~old(X))))&
((?[X]:((tall(X)|~kind(X))))=>(?[X]:((strong(X)|rich(X)))))&
(((~humble(john)&brave(john)))=>((~tall(alice)<~>kind(alice))))&
((?[X]:((~happy(X)&~strong(X))))=>((~curious(john)&kind(john))))&
(![X]:((~kind(X)<~>curious(X))=>~wise(X)))&
(![X]:(~funny(X)=>(happy(X)<... | ~strong(lucy) | [] | null | 0 |
Everyone who is creative or not wise is brave and vice versa.
If susan is either quiet or old then someone is not brave or not kind and vice versa.
If fred is not tall then someone is funny or calm.
If fred is patient then someone is either not patient or tall.
Everyone who is quiet is both brave and wise and vice vers... | Susan is not happy. | entailment | (![X]:((creative(X)|~wise(X))<=>brave(X)))&
(((quiet(susan)<~>old(susan)))<=>(?[X]:((~brave(X)|~kind(X)))))&
((~tall(fred))=>(?[X]:((funny(X)|calm(X)))))&
((patient(fred))=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:(quiet(X)<=>(brave(X)&wise(X))))&
(![X]:(~humble(X)<=>(calm(X)&~creative(X))))&
(((rich(susan)|~patient(su... | ~happy(susan) | [
"p0",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7407145468777780527635542
% SZS output start Proof for 7407145468777780527635542
1. ! [X0] : ((~wise(X0) | creative(X0)) <=> brave(X0)) [input p0]
10. happy(susan) => (patient(susan) & ~brave(susan)) [input p9]
23. ~wise(susan) & ~generous(susan) [input p22]
24. happy(susan) [input hypoth... | 0 |
If fred is both quiet and generous then someone is old or happy. Everyone who is both funny and kind is both humble and not rich. Everyone who is not funny or calm is not funny and vice versa. Everyone who is both generous and humble is wise or brave and vice versa. Everyone who is calm is not generous. If susan is eit... | John is tall. | neutral | (((quiet(fred)&generous(fred)))=>(?[X]:((old(X)|happy(X)))))&
(![X]:((funny(X)&kind(X))=>(humble(X)&~rich(X))))&
(![X]:((~funny(X)|calm(X))<=>~funny(X)))&
(![X]:((generous(X)&humble(X))<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>p... | tall(john) | [] | null | 0 |
Everyone who is not humble is either not generous or old.
If someone is not curious then mary is both tall and not curious.
Everyone who is brave is not calm.
Everyone who is either not calm or creative is not patient or tall and vice versa.
If someone is brave then paul is either not patient or funny.
Everyone who is ... | Fred is quiet. | neutral | (![X]:(~humble(X)=>(~generous(X)<~>old(X))))&
((?[X]:(~curious(X)))=>((tall(mary)&~curious(mary))))&
(![X]:(brave(X)=>~calm(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~patient(X)|tall(X))))&
((?[X]:(brave(X)))=>((~patient(paul)<~>funny(paul))))&
(![X]:(funny(X)<=>(patient(X)|~patient(X))))&
(![X]:((~happy(X)<~>old(X))<=>... | quiet(fred) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is not patient then someone is not humble or funny and vice versa.
Everyone who is generous is curious.
... | Mary is generous. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~humble(X)|funny(X)))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~hum... | generous(mary) | [
"p1",
"p2",
"p9",
"p10",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 128374726097719284741871
% SZS output start Proof for 128374726097719284741871
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
10. ! [X0] : ((rich(X0) <~> tall(X0)) <=> (~strong(X0) | happy(X0... | 0 |
If someone is both calm and not wise then alice is not quiet or happy.
If someone is both not quiet and wise then lucy is both tall and not calm and vice versa.
Everyone who is tall is both kind and old.
Everyone who is humble or not rich is both not brave and not rich and vice versa.
If someone is either not old or ta... | John is humble. | contradiction | ((?[X]:((calm(X)&~wise(X))))=>((~quiet(alice)|happy(alice))))&
((?[X]:((~quiet(X)&wise(X))))<=>((tall(lucy)&~calm(lucy))))&
(![X]:(tall(X)=>(kind(X)&old(X))))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)&~rich(X))))&
((?[X]:((~old(X)<~>tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((~patient(X)|creative(X))<=>(strong... | humble(john) | [
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 789788132447995595865092
% SZS output start Proof for 789788132447995595865092
4. ! [X0] : ((~rich(X0) | humble(X0)) <=> (~rich(X0) & ~brave(X0))) [input p3]
9. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> ~kind(X0)) [input p8]
14. ? [X0] : (~tall(X0) | ~brave(X0)) => ? [X0] : (~kind(X0) & ~gen... | 0 |
Everyone who is rich is not calm. Everyone who is generous or rich is not brave or happy. Everyone who is not humble is both not calm and curious and vice versa. If fred is not happy or not funny then john is generous. If someone is not rich then someone is either wise or not kind. If susan is not curious then someone ... | Lucy is rich. | neutral | (![X]:(rich(X)=>~calm(X)))&
(![X]:((generous(X)|rich(X))=>(~brave(X)|happy(X))))&
(![X]:(~humble(X)<=>(~calm(X)&curious(X))))&
(((~happy(fred)|~funny(fred)))=>(generous(john)))&
((?[X]:(~rich(X)))=>(?[X]:((wise(X)<~>~kind(X)))))&
((~curious(susan))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(funny(X)=>(~old(X)<~>strong(X... | rich(lucy) | [] | null | 0 |
Everyone who is either not patient or calm is either not creative or not wise.
If someone is not wise or not tall then fred is both curious and kind and vice versa.
Everyone who is both not strong and kind is not curious or not wise.
Everyone who is humble is generous or not patient and vice versa.
Everyone who is eith... | Fred is kind. | neutral | (![X]:((~patient(X)<~>calm(X))=>(~creative(X)<~>~wise(X))))&
((?[X]:((~wise(X)|~tall(X))))<=>((curious(fred)&kind(fred))))&
(![X]:((~strong(X)&kind(X))=>(~curious(X)|~wise(X))))&
(![X]:(humble(X)<=>(generous(X)|~patient(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(~tall(X)|tall(X))))&
(![X]:((funny(X)|~funny(X))<=>~curiou... | kind(fred) | [] | null | 0 |
If mary is not funny then paul is tall or not patient. Everyone who is either not brave or wise is both generous and not quiet and vice versa. If someone is either happy or creative then paul is both calm and not tall. If someone is not rich then john is both not quiet and not strong. Everyone who is not curious or bra... | Paul is funny. | neutral | ((~funny(mary))=>((tall(paul)|~patient(paul))))&
(![X]:((~brave(X)<~>wise(X))<=>(generous(X)&~quiet(X))))&
((?[X]:((happy(X)<~>creative(X))))=>((calm(paul)&~tall(paul))))&
((?[X]:(~rich(X)))=>((~quiet(john)&~strong(john))))&
(![X]:((~curious(X)|brave(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)<~>wise(X))<=>old(X)))&... | funny(paul) | [] | null | 0 |
Everyone who is either not generous or happy is both not patient and not happy.
Everyone who is creative or brave is not strong or not happy.
If someone is quiet then mary is not creative and vice versa.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or ... | Fred is not brave. | entailment | (![X]:((~generous(X)<~>happy(X))=>(~patient(X)&~happy(X))))&
(![X]:((creative(X)|brave(X))=>(~strong(X)|~happy(X))))&
((?[X]:(quiet(X)))<=>(~creative(mary)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X... | ~brave(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4209473028070044509433106
% SZS output start Proof for 4209473028070044509433106
12. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | strong(X0))) [input p11]
25. brave(fred) [input hypothesis]
56. ! [X0] : (((curious(X0) & ~brave(X0)) | (~brave(X0) & ~strong(X0))) & ((brave(X0) | st... | 0 |
If someone is either tall or not kind then someone is both happy and calm and vice versa. Everyone who is strong or rich is not kind or not rich. Everyone who is not rich or funny is either not curious or kind. If alice is both patient and not happy then someone is either not curious or not old. Everyone who is not wis... | Alice is generous. | entailment | ((?[X]:((tall(X)<~>~kind(X))))<=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((strong(X)|rich(X))=>(~kind(X)|~rich(X))))&
(![X]:((~rich(X)|funny(X))=>(~curious(X)<~>kind(X))))&
(((patient(alice)&~happy(alice)))=>(?[X]:((~curious(X)<~>~old(X)))))&
(![X]:((~wise(X)|~old(X))<=>(rich(X)&~wise(X))))&
(((~brave(john)|~kind(john)))=>... | generous(alice) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"p10",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3336971057438984434825360
% SZS output start Proof for 3336971057438984434825360
1. ? [X0] : (tall(X0) <~> ~kind(X0)) <=> ? [X0] : (calm(X0) & happy(X0)) [input p0]
3. ! [X0] : ((funny(X0) | ~rich(X0)) => (~curious(X0) <~> kind(X0))) [input p2]
5. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (~wi... | 0 |
If lucy is either not tall or tall then john is either not quiet or not funny and vice versa.
If someone is both curious and not curious then someone is wise and vice versa.
If someone is not strong then someone is both not strong and not quiet.
If someone is both not calm and not happy then someone is both not strong ... | Paul is not humble. | contradiction | (((~tall(lucy)<~>tall(lucy)))<=>((~quiet(john)<~>~funny(john))))&
((?[X]:((curious(X)&~curious(X))))<=>(?[X]:(wise(X))))&
((?[X]:(~strong(X)))=>(?[X]:((~strong(X)&~quiet(X)))))&
((?[X]:((~calm(X)&~happy(X))))=>(?[X]:((~strong(X)&rich(X)))))&
(![X]:((rich(X)&tall(X))=>(~wise(X)<~>quiet(X))))&
(![X]:((~generous(X)<~>~pat... | ~humble(paul) | [
"p1",
"p5",
"p7",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3442343082637604052269145
% SZS output start Proof for 3442343082637604052269145
2. ? [X0] : (~curious(X0) & curious(X0)) <=> ? [X0] : wise(X0) [input p1]
6. ! [X0] : ((~generous(X0) <~> ~patient(X0)) <=> (~patient(X0) & ~humble(X0))) [input p5]
8. ! [X0] : ((rich(X0) & humble(X0)) <=> (h... | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | John is not happy. | contradiction | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | ~happy(john) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6961315809058783968115394
% SZS output start Proof for 6961315809058783968115394
1. ! [X0] : (~calm(X0) <=> (creative(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~quiet(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & old(X0)) => (patient(X0) & creative... | 0 |
If mary is either not patient or not curious then someone is brave or not patient and vice versa. If mary is tall then someone is either not funny or brave. Everyone who is not patient or not strong is rich. If someone is either not generous or not curious then susan is either not calm or calm. If someone is both humbl... | Lucy is not generous. | entailment | (((~patient(mary)<~>~curious(mary)))<=>(?[X]:((brave(X)|~patient(X)))))&
((tall(mary))=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:((~patient(X)|~strong(X))=>rich(X)))&
((?[X]:((~generous(X)<~>~curious(X))))=>((~calm(susan)<~>calm(susan))))&
((?[X]:((humble(X)&~old(X))))<=>((~generous(mary)<~>~happy(mary))))&
(![X]:((~str... | ~generous(lucy) | [
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2092109874848937533323935
% SZS output start Proof for 2092109874848937533323935
11. ! [X0] : ((kind(X0) | strong(X0)) <=> (~generous(X0) | ~kind(X0))) [input p10]
13. ! [X0] : ((wise(X0) & ~curious(X0)) <=> (~funny(X0) | ~wise(X0))) [input p12]
14. ? [X0] : (~kind(X0) | quiet(X0)) <=> (~... | 0 |
If someone is either not quiet or not strong then alice is both not rich and quiet and vice versa.
If someone is either brave or not patient then lucy is either happy or not curious and vice versa.
If john is kind or not patient then john is not curious or not tall and vice versa.
Everyone who is both quiet and not cre... | Alice is curious. | contradiction | ((?[X]:((~quiet(X)<~>~strong(X))))<=>((~rich(alice)&quiet(alice))))&
((?[X]:((brave(X)<~>~patient(X))))<=>((happy(lucy)<~>~curious(lucy))))&
(((kind(john)|~patient(john)))<=>((~curious(john)|~tall(john))))&
(![X]:((quiet(X)&~creative(X))<=>(~rich(X)&~wise(X))))&
(![X]:(~generous(X)<=>(~generous(X)<~>curious(X))))&
((?[... | curious(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2967922890827544977793976
% SZS output start Proof for 2967922890827544977793976
5. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> curious(X0))) [input p4]
24. curious(alice) [input hypothesis]
51. ! [X0] : ((~generous(X0) | ((~generous(X0) | ~curious(X0)) & (curious(X0) | generous(X0))))... | 0 |
If fred is generous or not wise then mary is either not happy or not creative.
If john is not patient or not creative then someone is either curious or not curious and vice versa.
Everyone who is either not patient or not quiet is brave.
Everyone who is both not strong and not funny is not generous and vice versa.
If j... | Alice is not funny. | entailment | (((generous(fred)|~wise(fred)))=>((~happy(mary)<~>~creative(mary))))&
(((~patient(john)|~creative(john)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
(![X]:((~patient(X)<~>~quiet(X))=>brave(X)))&
(![X]:((~strong(X)&~funny(X))<=>~generous(X)))&
(((~patient(john)&~curious(john)))<=>(kind(john)))&
((?[X]:(~happy(X)))=>((patie... | ~funny(alice) | [
"p6",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2830784367515549608914454
% SZS output start Proof for 2830784367515549608914454
7. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (~brave(X0) | ~funny(X0))) [input p6]
12. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> (~wise(X0) | brave(X0))) [input p11]
15. ! [X0] : (humble(X0) <=> (~brave(X0) & ~f... | 0 |
If alice is not humble or calm then someone is either creative or not strong. If someone is both not tall and not strong then someone is either generous or wise. Everyone who is old is both humble and happy and vice versa. If someone is both generous and not funny then someone is either calm or generous. If someone is ... | Paul is strong. | neutral | (((~humble(alice)|calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((generous(X)<~>wise(X)))))&
(![X]:(old(X)<=>(humble(X)&happy(X))))&
((?[X]:((generous(X)&~funny(X))))=>(?[X]:((calm(X)<~>generous(X)))))&
((?[X]:((wise(X)<~>~old(X))))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]... | strong(paul) | [] | null | 0 |
Everyone who is both curious and not strong is not funny or not generous.
If john is both not tall and old then susan is not curious and vice versa.
Everyone who is either not calm or not patient is not funny.
Everyone who is not kind or not tall is not funny.
If mary is either not happy or strong then someone is not k... | Mary is not tall. | contradiction | (![X]:((curious(X)&~strong(X))=>(~funny(X)|~generous(X))))&
(((~tall(john)&old(john)))<=>(~curious(susan)))&
(![X]:((~calm(X)<~>~patient(X))=>~funny(X)))&
(![X]:((~kind(X)|~tall(X))=>~funny(X)))&
(((~happy(mary)<~>strong(mary)))=>(?[X]:((~kind(X)|old(X)))))&
(((~old(john)<~>patient(john)))=>(?[X]:((~patient(X)&creative... | ~tall(mary) | [
"p3",
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2676216184716191667905898
% SZS output start Proof for 2676216184716191667905898
4. ! [X0] : ((~tall(X0) | ~kind(X0)) => ~funny(X0)) [input p3]
8. ! [X0] : ((~old(X0) | strong(X0)) => ~quiet(X0)) [input p7]
9. ! [X0] : ((~calm(X0) & funny(X0)) <=> old(X0)) [input p8]
23. quiet(mary) [inpu... | 0 |
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