premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not rich or patient then fred is happy or curious and vice versa.
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm... | Fred is creative. | contradiction | ((?[X]:((~rich(X)<~>patient(X))))<=>((happy(fred)|curious(fred))))&
(![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X)... | creative(fred) | [
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 703306520492715599119738
% SZS output start Proof for 703306520492715599119738
7. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~tall(X0) <~> wise(X0))) [input p7]
10. ! [X0] : ((~tall(X0) & happy(X0)) <=> (~wise(X0... | 0 |
Everyone who is not generous or not old is quiet or not humble.
If fred is either happy or strong then alice is either not rich or not calm.
Everyone who is either quiet or generous is not calm.
If someone is both not rich and not happy then someone is not rich or humble.
Everyone who is both patient and funny is both ... | Paul is patient. | neutral | (![X]:((~generous(X)|~old(X))=>(quiet(X)|~humble(X))))&
(((happy(fred)<~>strong(fred)))=>((~rich(alice)<~>~calm(alice))))&
(![X]:((quiet(X)<~>generous(X))=>~calm(X)))&
((?[X]:((~rich(X)&~happy(X))))=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:((patient(X)&funny(X))<=>(funny(X)&old(X))))&
(![X]:((~wise(X)&curious(X))=>~quiet... | patient(paul) | [] | null | 0 |
If someone is not brave then mary is both happy and creative and vice versa. Everyone who is either not strong or not wise is both calm and not quiet and vice versa. If someone is not happy then mary is either calm or not strong and vice versa. Everyone who is rich or quiet is old and vice versa. If someone is not rich... | Mary is tall. | neutral | ((?[X]:(~brave(X)))<=>((happy(mary)&creative(mary))))&
(![X]:((~strong(X)<~>~wise(X))<=>(calm(X)&~quiet(X))))&
((?[X]:(~happy(X)))<=>((calm(mary)<~>~strong(mary))))&
(![X]:((rich(X)|quiet(X))<=>old(X)))&
((?[X]:(~rich(X)))=>((tall(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~quiet(X))<=>(~tall(X)&kind(X))))&
(![X]:((~wise(X... | tall(mary) | [] | null | 0 |
If someone is old or kind then john is not kind.
If someone is both not creative and not funny then john is kind and vice versa.
If someone is either strong or generous then alice is both old and calm and vice versa.
Everyone who is not rich is either not tall or patient.
If susan is either not brave or brave then susa... | Lucy is not strong. | contradiction | ((?[X]:((old(X)|kind(X))))=>(~kind(john)))&
((?[X]:((~creative(X)&~funny(X))))<=>(kind(john)))&
((?[X]:((strong(X)<~>generous(X))))<=>((old(alice)&calm(alice))))&
(![X]:(~rich(X)=>(~tall(X)<~>patient(X))))&
(((~brave(susan)<~>brave(susan)))<=>((~curious(susan)<~>quiet(susan))))&
(![X]:((funny(X)<~>rich(X))=>(~generous(... | ~strong(lucy) | [
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4327535793251331750145359
% SZS output start Proof for 4327535793251331750145359
10. ? [X0] : (brave(X0) | ~strong(X0)) => generous(paul) [input p9]
17. ~generous(paul) [input p16]
24. ~strong(lucy) [input hypothesis]
33. generous(paul) | ! [X0] : (~brave(X0) & strong(X0)) [ennf transform... | 0 |
Everyone who is both not humble and not happy is quiet or funny. Everyone who is both humble and not wise is strong or happy and vice versa. If someone is both tall and not tall then fred is either rich or not curious and vice versa. If someone is humble or old then someone is patient or not patient. If someone is both... | Alice is not happy. | entailment | (![X]:((~humble(X)&~happy(X))=>(quiet(X)|funny(X))))&
(![X]:((humble(X)&~wise(X))<=>(strong(X)|happy(X))))&
((?[X]:((tall(X)&~tall(X))))<=>((rich(fred)<~>~curious(fred))))&
((?[X]:((humble(X)|old(X))))=>(?[X]:((patient(X)|~patient(X)))))&
((?[X]:((creative(X)&~creative(X))))<=>(?[X]:((~humble(X)<~>~patient(X)))))&
(![X... | ~happy(alice) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5895814673440017702400239
% SZS output start Proof for 5895814673440017702400239
2. ! [X0] : ((~wise(X0) & humble(X0)) <=> (happy(X0) | strong(X0))) [input p1]
5. ? [X0] : (~creative(X0) & creative(X0)) <=> ? [X0] : (~humble(X0) <~> ~patient(X0)) [input p4]
8. ! [X0] : ((~curious(X0) <~> ... | 0 |
If fred is either brave or not patient then someone is both not generous and creative and vice versa.
If paul is either kind or not wise then mary is not patient and vice versa.
If paul is calm or not kind then john is both not generous and tall.
Everyone who is both kind and not quiet is not creative or generous and v... | John is not funny. | neutral | (((brave(fred)<~>~patient(fred)))<=>(?[X]:((~generous(X)&creative(X)))))&
(((kind(paul)<~>~wise(paul)))<=>(~patient(mary)))&
(((calm(paul)|~kind(paul)))=>((~generous(john)&tall(john))))&
(![X]:((kind(X)&~quiet(X))<=>(~creative(X)|generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~happy(X)<~>generous(X)))))&
(((humble(fred)... | ~funny(john) | [] | null | 0 |
Everyone who is tall or old is either not wise or not creative.
Everyone who is either not brave or strong is both calm and not creative and vice versa.
Everyone who is funny is not kind and vice versa.
Everyone who is not rich or not strong is both not funny and not generous and vice versa.
If paul is calm or brave th... | Fred is not kind. | contradiction | (![X]:((tall(X)|old(X))=>(~wise(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(calm(X)&~creative(X))))&
(![X]:(funny(X)<=>~kind(X)))&
(![X]:((~rich(X)|~strong(X))<=>(~funny(X)&~generous(X))))&
(((calm(paul)|brave(paul)))<=>((humble(john)&~happy(john))))&
(![X]:((patient(X)<~>~brave(X))=>(curious(X)<~>~kind(X))... | ~kind(fred) | [
"p2",
"p3",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8792633341214816516647482
% SZS output start Proof for 8792633341214816516647482
3. ! [X0] : (funny(X0) <=> ~kind(X0)) [input p2]
4. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (~generous(X0) & ~funny(X0))) [input p3]
15. ! [X0] : ((~calm(X0) | ~creative(X0)) <=> (~strong(X0) | generous(X0)))... | 0 |
If someone is not strong or not humble then someone is not rich or not tall.
Everyone who is both humble and tall is not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Mary is not patient. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | ~patient(mary) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 122698940002612394115127
% SZS output start Proof for 122698940002612394115127
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~ri... | 0 |
Everyone who is not brave is not happy or strong.
Everyone who is either not brave or curious is both generous and not generous and vice versa.
Everyone who is either not quiet or creative is both not quiet and brave.
If someone is not patient or curious then lucy is both not humble and not funny and vice versa.
Everyo... | Lucy is brave. | entailment | (![X]:(~brave(X)=>(~happy(X)|strong(X))))&
(![X]:((~brave(X)<~>curious(X))<=>(generous(X)&~generous(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(~quiet(X)&brave(X))))&
((?[X]:((~patient(X)|curious(X))))<=>((~humble(lucy)&~funny(lucy))))&
(![X]:((curious(X)<~>brave(X))<=>quiet(X)))&
(![X]:(rich(X)=>(strong(X)&~kind(X))))&
... | brave(lucy) | [
"p1",
"p3",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 778477182099699726462438
% SZS output start Proof for 778477182099699726462438
2. ! [X0] : ((~brave(X0) <~> curious(X0)) <=> (~generous(X0) & generous(X0))) [input p1]
4. ? [X0] : (curious(X0) | ~patient(X0)) <=> (~funny(lucy) & ~humble(lucy)) [input p3]
13. ! [X0] : ((tall(X0) | ~humble(... | 0 |
If john is not calm then someone is either calm or not funny and vice versa.
If susan is not old or not brave then fred is either not generous or kind.
If someone is either humble or tall then someone is either not patient or not funny.
If someone is either kind or rich then someone is tall or strong.
If fred is not ha... | Alice is calm. | entailment | ((~calm(john))<=>(?[X]:((calm(X)<~>~funny(X)))))&
(((~old(susan)|~brave(susan)))=>((~generous(fred)<~>kind(fred))))&
((?[X]:((humble(X)<~>tall(X))))=>(?[X]:((~patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)<~>rich(X))))=>(?[X]:((tall(X)|strong(X)))))&
((~happy(fred))=>((~kind(john)<~>~brave(john))))&
(![X]:((~creative(X)&... | calm(alice) | [
"p0",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 514652149366608531140563
% SZS output start Proof for 514652149366608531140563
1. ~calm(john) <=> ? [X0] : (calm(X0) <~> ~funny(X0)) [input p0]
6. ! [X0] : ((~old(X0) & ~creative(X0)) <=> (~strong(X0) <~> calm(X0))) [input p5]
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (~creative(X0) | curio... | 0 |
If someone is either patient or humble then mary is curious and vice versa. If someone is patient then someone is both humble and kind and vice versa. If someone is both not tall and brave then fred is both not calm and not kind. If someone is both creative and not strong then alice is happy or not curious and vice ver... | Paul is not wise. | neutral | ((?[X]:((patient(X)<~>humble(X))))<=>(curious(mary)))&
((?[X]:(patient(X)))<=>(?[X]:((humble(X)&kind(X)))))&
((?[X]:((~tall(X)&brave(X))))=>((~calm(fred)&~kind(fred))))&
((?[X]:((creative(X)&~strong(X))))<=>((happy(alice)|~curious(alice))))&
(((happy(fred)&~creative(fred)))<=>((patient(paul)<~>~tall(paul))))&
(![X]:((p... | ~wise(paul) | [] | null | 0 |
Everyone who is both patient and wise is creative or not creative and vice versa. If alice is not curious then paul is either quiet or not old and vice versa. If susan is curious then mary is not old. If someone is curious or tall then someone is not old. Everyone who is old or not curious is both strong and old. Every... | Susan is not patient. | contradiction | (![X]:((patient(X)&wise(X))<=>(creative(X)|~creative(X))))&
((~curious(alice))<=>((quiet(paul)<~>~old(paul))))&
((curious(susan))=>(~old(mary)))&
((?[X]:((curious(X)|tall(X))))=>(?[X]:(~old(X))))&
(![X]:((old(X)|~curious(X))=>(strong(X)&old(X))))&
(![X]:((generous(X)&~quiet(X))<=>brave(X)))&
(![X]:((~strong(X)&~wise(X)... | ~patient(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3147087137735346921791530
% SZS output start Proof for 3147087137735346921791530
1. ! [X0] : ((wise(X0) & patient(X0)) <=> (~creative(X0) | creative(X0))) [input p0]
23. ~patient(susan) [input hypothesis]
38. ! [X0] : (((wise(X0) & patient(X0)) | (creative(X0) & ~creative(X0))) & ((~creat... | 0 |
If susan is either not calm or quiet then someone is either funny or not old and vice versa.
Everyone who is both not curious and not patient is not humble.
If lucy is not brave then someone is patient and vice versa.
If someone is creative then someone is not quiet or not brave and vice versa.
Everyone who is tall is ... | Susan is quiet. | contradiction | (((~calm(susan)<~>quiet(susan)))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((~curious(X)&~patient(X))=>~humble(X)))&
((~brave(lucy))<=>(?[X]:(patient(X))))&
((?[X]:(creative(X)))<=>(?[X]:((~quiet(X)|~brave(X)))))&
(![X]:(tall(X)=>(~creative(X)<~>~funny(X))))&
(![X]:((quiet(X)&creative(X))=>(generous(X)|~strong(X))))&
((?... | quiet(susan) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6584438990900754344113577
% SZS output start Proof for 6584438990900754344113577
8. ! [X0] : (~generous(X0) <=> (~curious(X0) & kind(X0))) [input p7]
10. ? [X0] : (~wise(X0) | quiet(X0)) => ? [X0] : (generous(X0) & ~rich(X0)) [input p9]
16. ! [X0] : ((~rich(X0) <~> generous(X0)) <=> (~kin... | 0 |
Everyone who is both kind and creative is either not curious or kind and vice versa. Everyone who is not brave is kind and vice versa. If someone is both not old and curious then someone is both calm and kind. If fred is both not old and not humble then someone is both wise and not calm. If fred is both not happy and n... | Mary is kind. | contradiction | (![X]:((kind(X)&creative(X))<=>(~curious(X)<~>kind(X))))&
(![X]:(~brave(X)<=>kind(X)))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:((calm(X)&kind(X)))))&
(((~old(fred)&~humble(fred)))=>(?[X]:((wise(X)&~calm(X)))))&
(((~happy(fred)&~curious(fred)))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
((... | kind(mary) | [
"p1",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4405728812442216542465769
% SZS output start Proof for 4405728812442216542465769
2. ! [X0] : (~brave(X0) <=> kind(X0)) [input p1]
5. (~curious(fred) & ~happy(fred)) <=> ? [X0] : (~tall(X0) | ~brave(X0)) [input p4]
10. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> tall(X0)) [input p9]
16. !... | 0 |
If someone is creative then someone is tall or creative and vice versa. Everyone who is both patient and not tall is both not calm and not creative. If fred is either curious or not generous then alice is both not happy and patient. If someone is either kind or not kind then someone is both not calm and not generous an... | Paul is not rich. | neutral | ((?[X]:(creative(X)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((patient(X)&~tall(X))=>(~calm(X)&~creative(X))))&
(((curious(fred)<~>~generous(fred)))=>((~happy(alice)&patient(alice))))&
((?[X]:((kind(X)<~>~kind(X))))<=>(?[X]:((~calm(X)&~generous(X)))))&
(![X]:((funny(X)&old(X))<=>(curious(X)|strong(X))))&
(((~old(john... | ~rich(paul) | [] | null | 0 |
Everyone who is patient is either brave or not strong.
If someone is both not humble and not kind then fred is both not old and happy and vice versa.
Everyone who is generous is either not humble or not wise.
Everyone who is both rich and tall is both tall and not happy and vice versa.
Everyone who is old or not funny ... | Susan is wise. | neutral | (![X]:(patient(X)=>(brave(X)<~>~strong(X))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(fred)&happy(fred))))&
(![X]:(generous(X)=>(~humble(X)<~>~wise(X))))&
(![X]:((rich(X)&tall(X))<=>(tall(X)&~happy(X))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(... | wise(susan) | [] | null | 0 |
If paul is brave or not calm then someone is not calm or not old.
Everyone who is strong or creative is both generous and rich.
Everyone who is happy is both funny and rich and vice versa.
If someone is quiet then someone is not calm and vice versa.
Everyone who is both old and not tall is either not rich or curious an... | Susan is tall. | contradiction | (((brave(paul)|~calm(paul)))=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((strong(X)|creative(X))=>(generous(X)&rich(X))))&
(![X]:(happy(X)<=>(funny(X)&rich(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(~calm(X))))&
(![X]:((old(X)&~tall(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(creative(X)<=>(happy(X)<~>~kind(X))))&
(![X]:((rich(X)|calm(X... | tall(susan) | [
"p1",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 402820123684110382715834
% SZS output start Proof for 402820123684110382715834
2. ! [X0] : ((creative(X0) | strong(X0)) => (rich(X0) & generous(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & old(X0)) <=> (~rich(X0) <~> curious(X0))) [input p4]
7. ! [X0] : ((calm(X0) | rich(X0)) => ~tall(X0)) ... | 0 |
If susan is either old or curious then john is either patient or not old and vice versa. Everyone who is either funny or generous is either kind or quiet and vice versa. If mary is calm then mary is not humble. If fred is either not tall or brave then someone is both patient and not patient and vice versa. Everyone who... | Alice is not generous. | contradiction | (((old(susan)<~>curious(susan)))<=>((patient(john)<~>~old(john))))&
(![X]:((funny(X)<~>generous(X))<=>(kind(X)<~>quiet(X))))&
((calm(mary))=>(~humble(mary)))&
(((~tall(fred)<~>brave(fred)))<=>(?[X]:((patient(X)&~patient(X)))))&
(![X]:(strong(X)<=>(brave(X)|humble(X))))&
((?[X]:(~humble(X)))<=>(?[X]:(funny(X))))&
(![X]:... | ~generous(alice) | [
"p6",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 634249727331368688893146
% SZS output start Proof for 634249727331368688893146
7. ! [X0] : (~generous(X0) => ~calm(X0)) [input p6]
10. ! [X0] : ((tall(X0) <~> ~wise(X0)) <=> calm(X0)) [input p9]
12. ! [X0] : ((tall(X0) | rich(X0)) <=> (generous(X0) | wise(X0))) [input p11]
22. ~rich(alice... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is both kind and not brave.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet o... | Susan is creative. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:((kind(X)&~brave(X)))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|cu... | creative(susan) | [] | null | 0 |
Everyone who is not funny is both not funny and humble. If someone is either not creative or not quiet then alice is happy or not generous and vice versa. Everyone who is both not tall and not creative is either wise or creative. Everyone who is happy or not generous is not rich or not humble. If someone is not creativ... | Mary is old. | contradiction | (![X]:(~funny(X)=>(~funny(X)&humble(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>((happy(alice)|~generous(alice))))&
(![X]:((~tall(X)&~creative(X))=>(wise(X)<~>creative(X))))&
(![X]:((happy(X)|~generous(X))=>(~rich(X)|~humble(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((generous(X)<~>~quiet(X))... | old(mary) | [
"p3",
"p8",
"p10",
"p13",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7920836832315411019570995
% SZS output start Proof for 7920836832315411019570995
4. ! [X0] : ((~generous(X0) | happy(X0)) => (~humble(X0) | ~rich(X0))) [input p3]
9. ? [X0] : (humble(X0) & ~rich(X0)) => ~strong(mary) [input p8]
11. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (~tall(X0) | ~st... | 0 |
Everyone who is not rich or not curious is rich and vice versa.
If alice is not patient or not happy then someone is either not kind or wise and vice versa.
If someone is not wise then susan is creative.
If someone is not patient or not creative then someone is rich and vice versa.
If someone is not calm or not funny t... | John is not generous. | neutral | (![X]:((~rich(X)|~curious(X))<=>rich(X)))&
(((~patient(alice)|~happy(alice)))<=>(?[X]:((~kind(X)<~>wise(X)))))&
((?[X]:(~wise(X)))=>(creative(susan)))&
((?[X]:((~patient(X)|~creative(X))))<=>(?[X]:(rich(X))))&
((?[X]:((~calm(X)|~funny(X))))<=>(?[X]:((~brave(X)<~>~happy(X)))))&
(![X]:((patient(X)&~patient(X))<=>~rich(X)... | ~generous(john) | [] | null | 0 |
Everyone who is either tall or quiet is not brave. If lucy is not curious then someone is both not old and not funny and vice versa. If alice is either not humble or tall then paul is both strong and not tall and vice versa. Everyone who is calm is old and vice versa. If susan is not creative then someone is kind and v... | Susan is not calm. | neutral | (![X]:((tall(X)<~>quiet(X))=>~brave(X)))&
((~curious(lucy))<=>(?[X]:((~old(X)&~funny(X)))))&
(((~humble(alice)<~>tall(alice)))<=>((strong(paul)&~tall(paul))))&
(![X]:(calm(X)<=>old(X)))&
((~creative(susan))<=>(?[X]:(kind(X))))&
(![X]:((~tall(X)<~>~quiet(X))<=>brave(X)))&
(![X]:((~wise(X)<~>creative(X))=>(patient(X)<~>c... | ~calm(susan) | [] | null | 0 |
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then alice is either creative or generous and vice versa.
Everyo... | Susan is brave. | contradiction | ((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~brave(X))=>(~patient(X)|~strong(X))))&
((?[X]:((~humble(X... | brave(susan) | [
"p1",
"p2",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7447420967183890662134646
% SZS output start Proof for 7447420967183890662134646
2. ! [X0] : ((~patient(X0) & ~tall(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
3. ? [X0] : curious(X0) => (~strong(susan) <~> ~old(susan)) [input p2]
10. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~curiou... | 0 |
If someone is both not patient and not happy then mary is happy and vice versa.
If susan is wise or not curious then someone is creative.
Everyone who is both not old and quiet is either strong or not funny.
If someone is either not generous or not funny then mary is either happy or creative.
Everyone who is not tall o... | Mary is not curious. | contradiction | ((?[X]:((~patient(X)&~happy(X))))<=>(happy(mary)))&
(((wise(susan)|~curious(susan)))=>(?[X]:(creative(X))))&
(![X]:((~old(X)&quiet(X))=>(strong(X)<~>~funny(X))))&
((?[X]:((~generous(X)<~>~funny(X))))=>((happy(mary)<~>creative(mary))))&
(![X]:((~tall(X)|old(X))=>(~brave(X)&curious(X))))&
(((~happy(mary)&~brave(mary)))<=... | ~curious(mary) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5164897199154306832587648
% SZS output start Proof for 5164897199154306832587648
7. ? [X0] : (~creative(X0) | generous(X0)) <=> (rich(paul) & ~rich(paul)) [input p6]
10. ! [X0] : ((old(X0) | ~curious(X0)) => (curious(X0) | ~creative(X0))) [input p9]
24. ~curious(mary) [input hypothesis]
3... | 0 |
Everyone who is not creative is creative or strong. If someone is either brave or humble then alice is both not curious and not generous. If someone is both calm and patient then john is both not generous and not funny and vice versa. Everyone who is both not creative and not humble is not brave or not wise and vice ve... | Alice is patient. | contradiction | (![X]:(~creative(X)=>(creative(X)|strong(X))))&
((?[X]:((brave(X)<~>humble(X))))=>((~curious(alice)&~generous(alice))))&
((?[X]:((calm(X)&patient(X))))<=>((~generous(john)&~funny(john))))&
(![X]:((~creative(X)&~humble(X))<=>(~brave(X)|~wise(X))))&
(![X]:(~wise(X)<=>(rich(X)&~wise(X))))&
(![X]:((~generous(X)|humble(X))<... | patient(alice) | [
"p3",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4742874133911643207527312
% SZS output start Proof for 4742874133911643207527312
4. ! [X0] : ((~humble(X0) & ~creative(X0)) <=> (~wise(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((humble(X0) | ~generous(X0)) <=> (~brave(X0) & ~calm(X0))) [input p5]
10. ! [X0] : ((~humble(X0) <~> kind(X0)) ... | 0 |
Everyone who is happy is both not humble and old and vice versa.
Everyone who is not rich or not quiet is both not happy and brave and vice versa.
Everyone who is either not rich or patient is happy or tall and vice versa.
If fred is either tall or not generous then someone is strong and vice versa.
Everyone who is not... | Alice is not generous. | neutral | (![X]:(happy(X)<=>(~humble(X)&old(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(~happy(X)&brave(X))))&
(![X]:((~rich(X)<~>patient(X))<=>(happy(X)|tall(X))))&
(((tall(fred)<~>~generous(fred)))<=>(?[X]:(strong(X))))&
(![X]:((~patient(X)|calm(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((humble(X)&patient(X))<=>(~patient(X)&kind(X)))... | ~generous(alice) | [] | null | 0 |
Everyone who is funny is tall or not quiet and vice versa.
Everyone who is both not quiet and not kind is happy.
If john is either not calm or tall then fred is both not humble and not patient and vice versa.
If lucy is not rich then someone is not humble.
Everyone who is not brave or strong is not patient or not stron... | Lucy is rich. | neutral | (![X]:(funny(X)<=>(tall(X)|~quiet(X))))&
(![X]:((~quiet(X)&~kind(X))=>happy(X)))&
(((~calm(john)<~>tall(john)))<=>((~humble(fred)&~patient(fred))))&
((~rich(lucy))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)|strong(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~humble(X)&generous(X))<=>rich(X)))&
((?[X]:(curious(X)))<=>(?[X]:... | rich(lucy) | [] | null | 0 |
If paul is both old and not kind then someone is not rich or not quiet and vice versa.
If someone is either calm or rich then john is kind or quiet and vice versa.
Everyone who is both wise and humble is both rich and not quiet.
Everyone who is either happy or not funny is both humble and funny.
Everyone who is both no... | Alice is quiet. | neutral | (((old(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:((calm(X)<~>rich(X))))<=>((kind(john)|quiet(john))))&
(![X]:((wise(X)&humble(X))=>(rich(X)&~quiet(X))))&
(![X]:((happy(X)<~>~funny(X))=>(humble(X)&funny(X))))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)|calm(X))))&
(![X]:(~brave(X)<=>(strong(X)<~>humb... | quiet(alice) | [] | null | 0 |
Everyone who is creative or not creative is patient and vice versa.
Everyone who is not generous is either not strong or happy.
Everyone who is either quiet or not tall is not quiet or strong.
Everyone who is not rich or not old is both not funny and not rich.
Everyone who is brave is either not calm or not wise.
If lu... | Fred is not creative. | entailment | (![X]:((creative(X)|~creative(X))<=>patient(X)))&
(![X]:(~generous(X)=>(~strong(X)<~>happy(X))))&
(![X]:((quiet(X)<~>~tall(X))=>(~quiet(X)|strong(X))))&
(![X]:((~rich(X)|~old(X))=>(~funny(X)&~rich(X))))&
(![X]:(brave(X)=>(~calm(X)<~>~wise(X))))&
(((~happy(lucy)&~kind(lucy)))<=>(?[X]:(patient(X))))&
(![X]:((brave(X)&ric... | ~creative(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2628313940786856492515158
% SZS output start Proof for 2628313940786856492515158
16. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (~old(X0) & ~creative(X0))) [input p15]
24. creative(fred) [input hypothesis]
35. ! [X0] : ((~old(X0) & ~creative(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transform... | 0 |
If susan is funny or patient then alice is brave or calm.
Everyone who is both curious and humble is not happy and vice versa.
If mary is not quiet or wise then someone is either old or funny and vice versa.
If someone is either curious or strong then someone is not rich and vice versa.
If someone is generous or not cu... | Lucy is not brave. | contradiction | (((funny(susan)|patient(susan)))=>((brave(alice)|calm(alice))))&
(![X]:((curious(X)&humble(X))<=>~happy(X)))&
(((~quiet(mary)|wise(mary)))<=>(?[X]:((old(X)<~>funny(X)))))&
((?[X]:((curious(X)<~>strong(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((generous(X)|~curious(X))))<=>(creative(paul)))&
((?[X]:((generous(X)&brave(X))))=>... | ~brave(lucy) | [
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1585068866475956525828636
% SZS output start Proof for 1585068866475956525828636
19. generous(lucy) <~> brave(lucy) [input p18]
24. ~generous(lucy) [input p23]
25. ~brave(lucy) [input hypothesis]
78. (~brave(lucy) | ~generous(lucy)) & (brave(lucy) | generous(lucy)) [nnf transformation 19]... | 0 |
If paul is both humble and patient then someone is wise.
If lucy is not humble then fred is either not kind or generous.
Everyone who is not calm or not happy is not creative or tall.
Everyone who is not curious is both patient and not strong and vice versa.
If fred is funny then someone is either patient or humble.
If... | Susan is not creative. | neutral | (((humble(paul)&patient(paul)))=>(?[X]:(wise(X))))&
((~humble(lucy))=>((~kind(fred)<~>generous(fred))))&
(![X]:((~calm(X)|~happy(X))=>(~creative(X)|tall(X))))&
(![X]:(~curious(X)<=>(patient(X)&~strong(X))))&
((funny(fred))=>(?[X]:((patient(X)<~>humble(X)))))&
(((happy(lucy)&~quiet(lucy)))=>(?[X]:((happy(X)&calm(X)))))&... | ~creative(susan) | [] | null | 0 |
Everyone who is not strong is either not generous or curious. Everyone who is both rich and quiet is either not calm or tall and vice versa. Everyone who is not generous or not happy is not happy and vice versa. If lucy is both not creative and not funny then someone is strong or rich. If someone is not rich or tall th... | Paul is not humble. | neutral | (![X]:(~strong(X)=>(~generous(X)<~>curious(X))))&
(![X]:((rich(X)&quiet(X))<=>(~calm(X)<~>tall(X))))&
(![X]:((~generous(X)|~happy(X))<=>~happy(X)))&
(((~creative(lucy)&~funny(lucy)))=>(?[X]:((strong(X)|rich(X)))))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((~old(X)&~rich(X))<=>(~tall(X)|creati... | ~humble(paul) | [] | null | 0 |
If john is both creative and not happy then fred is not strong and vice versa.
If someone is both humble and not quiet then john is either brave or not tall and vice versa.
If lucy is either not generous or not old then someone is patient or not rich and vice versa.
Everyone who is not tall or quiet is not generous.
Ev... | Mary is not brave. | neutral | (((creative(john)&~happy(john)))<=>(~strong(fred)))&
((?[X]:((humble(X)&~quiet(X))))<=>((brave(john)<~>~tall(john))))&
(((~generous(lucy)<~>~old(lucy)))<=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:((~tall(X)|quiet(X))=>~generous(X)))&
(![X]:((humble(X)<~>curious(X))<=>(calm(X)&patient(X))))&
(![X]:((~quiet(X)&wise(X))=>br... | ~brave(mary) | [] | null | 0 |
Everyone who is both not curious and quiet is not patient or wise.
Everyone who is not generous is both brave and not wise.
If paul is not funny or not generous then lucy is both not kind and not creative and vice versa.
Everyone who is happy or strong is generous or brave.
If john is funny then john is not rich.
Every... | Susan is funny. | neutral | (![X]:((~curious(X)&quiet(X))=>(~patient(X)|wise(X))))&
(![X]:(~generous(X)=>(brave(X)&~wise(X))))&
(((~funny(paul)|~generous(paul)))<=>((~kind(lucy)&~creative(lucy))))&
(![X]:((happy(X)|strong(X))=>(generous(X)|brave(X))))&
((funny(john))=>(~rich(john)))&
(![X]:((strong(X)&tall(X))=>(curious(X)&brave(X))))&
(![X]:((ha... | funny(susan) | [] | null | 0 |
Everyone who is wise or calm is quiet.
If mary is tall then susan is either strong or not kind.
Everyone who is either creative or quiet is both not rich and happy.
If alice is curious or quiet then someone is both strong and not tall and vice versa.
If someone is not curious or rich then alice is both not rich and hum... | Fred is not quiet. | neutral | (![X]:((wise(X)|calm(X))=>quiet(X)))&
((tall(mary))=>((strong(susan)<~>~kind(susan))))&
(![X]:((creative(X)<~>quiet(X))=>(~rich(X)&happy(X))))&
(((curious(alice)|quiet(alice)))<=>(?[X]:((strong(X)&~tall(X)))))&
((?[X]:((~curious(X)|rich(X))))=>((~rich(alice)&humble(alice))))&
((?[X]:((~creative(X)&~rich(X))))<=>(calm(f... | ~quiet(fred) | [] | null | 0 |
If someone is kind then fred is either not old or funny.
If someone is both humble and generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and not patient the... | Susan is not wise. | contradiction | ((?[X]:(kind(X)))=>((~old(fred)<~>funny(fred))))&
((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:(... | ~wise(susan) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5213053684077088160703957
% SZS output start Proof for 5213053684077088160703957
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p6]
12. ! [X0] : ((~humble(X0) & generous(X0)) <=> ~strong(X0)) [input p11]
21.... | 0 |
Everyone who is either not wise or strong is both quiet and kind and vice versa. If fred is not rich then alice is not old or curious. If lucy is not humble or not strong then someone is either not generous or not funny and vice versa. If someone is either not happy or wise then someone is either not strong or generous... | Fred is not quiet. | neutral | (![X]:((~wise(X)<~>strong(X))<=>(quiet(X)&kind(X))))&
((~rich(fred))=>((~old(alice)|curious(alice))))&
(((~humble(lucy)|~strong(lucy)))<=>(?[X]:((~generous(X)<~>~funny(X)))))&
((?[X]:((~happy(X)<~>wise(X))))=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((generous(X)<~>~generous(X)))))&
(![X]:(curio... | ~quiet(fred) | [] | null | 0 |
If lucy is generous or strong then someone is not humble or calm.
Everyone who is either tall or creative is rich.
Everyone who is not calm or funny is either not humble or rich and vice versa.
If lucy is both calm and not rich then paul is not curious or not humble.
If john is both creative and not funny then someone ... | Susan is old. | neutral | (((generous(lucy)|strong(lucy)))=>(?[X]:((~humble(X)|calm(X)))))&
(![X]:((tall(X)<~>creative(X))=>rich(X)))&
(![X]:((~calm(X)|funny(X))<=>(~humble(X)<~>rich(X))))&
(((calm(lucy)&~rich(lucy)))=>((~curious(paul)|~humble(paul))))&
(((creative(john)&~funny(john)))=>(?[X]:((~patient(X)&~generous(X)))))&
(![X]:((~brave(X)&ri... | old(susan) | [] | null | 0 |
If lucy is either generous or rich then alice is both not generous and curious. If paul is both humble and not calm then someone is either not patient or not humble. If alice is both not creative and not patient then someone is either brave or wise and vice versa. Everyone who is either wise or not rich is patient. Eve... | John is not brave. | neutral | (((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice))))&
(((humble(paul)&~calm(paul)))=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((~creative(alice)&~patient(alice)))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:((wise(X)<~>~rich(X))=>patient(X)))&
(![X]:((~tall(X)&wise(X))=>(curious(X)<~>creative(X))))&
(![X]:(... | ~brave(john) | [] | null | 0 |
If someone is both generous and tall then someone is either old or wise and vice versa.
If someone is either not calm or not brave then someone is both happy and not rich and vice versa.
Everyone who is either not funny or rich is either not creative or humble and vice versa.
If someone is either not humble or generous... | Mary is not funny. | contradiction | ((?[X]:((generous(X)&tall(X))))<=>(?[X]:((old(X)<~>wise(X)))))&
((?[X]:((~calm(X)<~>~brave(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((~funny(X)<~>rich(X))<=>(~creative(X)<~>humble(X))))&
((?[X]:((~humble(X)<~>generous(X))))<=>(?[X]:((~brave(X)&calm(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(~creative(X)|strong(X))))&... | ~funny(mary) | [
"p2",
"p4",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1518644408934776417903584
% SZS output start Proof for 1518644408934776417903584
3. ! [X0] : ((~funny(X0) <~> rich(X0)) <=> (~creative(X0) <~> humble(X0))) [input p2]
5. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (strong(X0) | ~creative(X0))) [input p4]
8. ! [X0] : ((funny(X0) & patient(X0)... | 0 |
If alice is not curious or not brave then someone is either calm or brave.
Everyone who is strong is quiet or funny and vice versa.
Everyone who is not rich is either calm or not strong.
Everyone who is both humble and calm is either not wise or quiet and vice versa.
Everyone who is wise is strong or creative and vice ... | Lucy is quiet. | contradiction | (((~curious(alice)|~brave(alice)))=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:(strong(X)<=>(quiet(X)|funny(X))))&
(![X]:(~rich(X)=>(calm(X)<~>~strong(X))))&
(![X]:((humble(X)&calm(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:(wise(X)<=>(strong(X)|creative(X))))&
(![X]:((~generous(X)|kind(X))=>happy(X)))&
(![X]:((creative(X)|~stron... | quiet(lucy) | [
"p1",
"p3",
"p4",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3113436005201169203490540
% SZS output start Proof for 3113436005201169203490540
2. ! [X0] : (strong(X0) <=> (funny(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((calm(X0) & humble(X0)) <=> (~wise(X0) <~> quiet(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (creative(X0) | strong(X0))) [input p4]... | 0 |
Everyone who is not happy is both not calm and creative and vice versa.
If john is either quiet or not kind then paul is either brave or not strong.
Everyone who is either not happy or not quiet is generous or tall.
Everyone who is either generous or not tall is rich and vice versa.
If susan is not kind or humble then ... | Mary is not creative. | contradiction | (![X]:(~happy(X)<=>(~calm(X)&creative(X))))&
(((quiet(john)<~>~kind(john)))=>((brave(paul)<~>~strong(paul))))&
(![X]:((~happy(X)<~>~quiet(X))=>(generous(X)|tall(X))))&
(![X]:((generous(X)<~>~tall(X))<=>rich(X)))&
(((~kind(susan)|humble(susan)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]... | ~creative(mary) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7742929242811842721802459
% SZS output start Proof for 7742929242811842721802459
1. ! [X0] : (~happy(X0) <=> (creative(X0) & ~calm(X0))) [input p0]
18. ~happy(mary) [input p17]
25. ~creative(mary) [input hypothesis]
36. ! [X0] : ((~happy(X0) | (~creative(X0) | calm(X0))) & ((creative(X0) ... | 0 |
If someone is quiet then someone is not old or not creative and vice versa. If susan is not humble or not calm then fred is not old or not rich. If someone is both not kind and kind then someone is either not strong or humble. If lucy is either not strong or rich then lucy is funny or not patient and vice versa. If som... | Susan is kind. | entailment | ((?[X]:(quiet(X)))<=>(?[X]:((~old(X)|~creative(X)))))&
(((~humble(susan)|~calm(susan)))=>((~old(fred)|~rich(fred))))&
((?[X]:((~kind(X)&kind(X))))=>(?[X]:((~strong(X)<~>humble(X)))))&
(((~strong(lucy)<~>rich(lucy)))<=>((funny(lucy)|~patient(lucy))))&
((?[X]:((~quiet(X)|~creative(X))))=>(?[X]:(~rich(X))))&
(![X]:((stron... | kind(susan) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 770504667918103256316458
% SZS output start Proof for 770504667918103256316458
16. ! [X0] : ((~wise(X0) & generous(X0)) <=> (~rich(X0) | ~kind(X0))) [input p15]
21. ~generous(susan) [input p20]
25. ~kind(susan) [input hypothesis]
73. ! [X0] : (((~wise(X0) & generous(X0)) | (rich(X0) & kin... | 0 |
If lucy is either not wise or old then someone is either not curious or not wise. Everyone who is either not happy or patient is either tall or curious. If someone is either not old or not brave then alice is either not funny or not happy and vice versa. Everyone who is happy or humble is either not kind or rich. Every... | Alice is not wise. | contradiction | (((~wise(lucy)<~>old(lucy)))=>(?[X]:((~curious(X)<~>~wise(X)))))&
(![X]:((~happy(X)<~>patient(X))=>(tall(X)<~>curious(X))))&
((?[X]:((~old(X)<~>~brave(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((happy(X)|humble(X))=>(~kind(X)<~>rich(X))))&
(![X]:((calm(X)<~>~wise(X))<=>funny(X)))&
((?[X]:(kind(X)))<=>(~tall(mar... | ~wise(alice) | [
"p2",
"p4",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2677337523782121677847535
% SZS output start Proof for 2677337523782121677847535
3. ? [X0] : (~old(X0) <~> ~brave(X0)) <=> (~funny(alice) <~> ~happy(alice)) [input p2]
5. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> funny(X0)) [input p4]
13. ? [X0] : (brave(X0) <~> old(X0)) <=> (~patient(fred) ... | 0 |
If someone is both rich and curious then alice is either not kind or creative and vice versa. If someone is tall or strong then someone is not happy or curious. If someone is either calm or rich then someone is both not strong and not kind and vice versa. If john is both not brave and strong then someone is old and vic... | Paul is strong. | neutral | ((?[X]:((rich(X)&curious(X))))<=>((~kind(alice)<~>creative(alice))))&
((?[X]:((tall(X)|strong(X))))=>(?[X]:((~happy(X)|curious(X)))))&
((?[X]:((calm(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~kind(X)))))&
(((~brave(john)&strong(john)))<=>(?[X]:(old(X))))&
(![X]:((~tall(X)<~>~humble(X))<=>~strong(X)))&
((kind(alice))<=>((cal... | strong(paul) | [] | null | 0 |
If lucy is either not old or wise then susan is generous. Everyone who is either not creative or not curious is calm and vice versa. If someone is tall or not old then paul is both not happy and not patient. Everyone who is both funny and curious is either not happy or creative and vice versa. Everyone who is both kind... | Lucy is old. | neutral | (((~old(lucy)<~>wise(lucy)))=>(generous(susan)))&
(![X]:((~creative(X)<~>~curious(X))<=>calm(X)))&
((?[X]:((tall(X)|~old(X))))=>((~happy(paul)&~patient(paul))))&
(![X]:((funny(X)&curious(X))<=>(~happy(X)<~>creative(X))))&
(![X]:((kind(X)&~happy(X))<=>(rich(X)<~>~creative(X))))&
((?[X]:((~happy(X)|~creative(X))))=>((~ol... | old(lucy) | [] | null | 0 |
Everyone who is either not happy or not strong is brave or quiet.
If someone is strong then someone is both creative and quiet and vice versa.
Everyone who is both quiet and humble is not calm and vice versa.
If paul is either calm or not humble then someone is curious and vice versa.
Everyone who is both quiet and gen... | Mary is rich. | contradiction | (![X]:((~happy(X)<~>~strong(X))=>(brave(X)|quiet(X))))&
((?[X]:(strong(X)))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:((quiet(X)&humble(X))<=>~calm(X)))&
(((calm(paul)<~>~humble(paul)))<=>(?[X]:(curious(X))))&
(![X]:((quiet(X)&generous(X))<=>(brave(X)|rich(X))))&
(((~quiet(fred)&~curious(fred)))<=>(~old(mary)))&
(![X]:... | rich(mary) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5239526296651754747504608
% SZS output start Proof for 5239526296651754747504608
7. ! [X0] : ((rich(X0) | ~patient(X0)) => (~rich(X0) | ~creative(X0))) [input p6]
9. ! [X0] : ((brave(X0) | ~brave(X0)) <=> creative(X0)) [input p8]
25. rich(mary) [input hypothesis]
28. ! [X0] : (rich(X0) =>... | 0 |
Everyone who is both not strong and not funny is patient. If someone is not old or not humble then fred is both old and humble. Everyone who is happy or humble is not funny or not happy. Everyone who is either not rich or quiet is not generous or happy and vice versa. Everyone who is not humble or humble is not creativ... | Fred is not curious. | contradiction | (![X]:((~strong(X)&~funny(X))=>patient(X)))&
((?[X]:((~old(X)|~humble(X))))=>((old(fred)&humble(fred))))&
(![X]:((happy(X)|humble(X))=>(~funny(X)|~happy(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(~generous(X)|happy(X))))&
(![X]:((~humble(X)|humble(X))<=>~creative(X)))&
(![X]:((generous(X)&~kind(X))<=>~patient(X)))&
(![X]:(... | ~curious(fred) | [
"p4",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8154990564727041498782321
% SZS output start Proof for 8154990564727041498782321
5. ! [X0] : ((humble(X0) | ~humble(X0)) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((~kind(X0) & generous(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> (wise(X0) & creative(X0))) [... | 0 |
Everyone who is not curious or creative is not quiet or not rich and vice versa. Everyone who is tall or not creative is both happy and not quiet. Everyone who is both not rich and not creative is both creative and quiet. If fred is both not creative and not kind then alice is either brave or not tall. Everyone who is ... | Mary is not curious. | entailment | (![X]:((~curious(X)|creative(X))<=>(~quiet(X)|~rich(X))))&
(![X]:((tall(X)|~creative(X))=>(happy(X)&~quiet(X))))&
(![X]:((~rich(X)&~creative(X))=>(creative(X)&quiet(X))))&
(((~creative(fred)&~kind(fred)))=>((brave(alice)<~>~tall(alice))))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)|~happy(X))))&
(![X]:(~patient(X)<=>(~... | ~curious(mary) | [
"p0",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5363102104989995520897210
% SZS output start Proof for 5363102104989995520897210
1. ! [X0] : ((creative(X0) | ~curious(X0)) <=> (~rich(X0) | ~quiet(X0))) [input p0]
15. ? [X0] : (funny(X0) | generous(X0)) <=> (~quiet(mary) & ~creative(mary)) [input p14]
23. ? [X0] : (rich(X0) & funny(X0))... | 0 |
Everyone who is either strong or calm is old and vice versa. If paul is not kind or not happy then lucy is either not humble or not wise and vice versa. Everyone who is either not tall or not patient is either not humble or not patient and vice versa. Everyone who is both humble and not happy is either generous or calm... | Alice is not creative. | neutral | (![X]:((strong(X)<~>calm(X))<=>old(X)))&
(((~kind(paul)|~happy(paul)))<=>((~humble(lucy)<~>~wise(lucy))))&
(![X]:((~tall(X)<~>~patient(X))<=>(~humble(X)<~>~patient(X))))&
(![X]:((humble(X)&~happy(X))<=>(generous(X)<~>calm(X))))&
((?[X]:((~happy(X)<~>curious(X))))=>(?[X]:((~curious(X)&funny(X)))))&
(![X]:(~brave(X)<=>(~... | ~creative(alice) | [] | null | 0 |
Everyone who is both quiet and not happy is either not calm or brave and vice versa.
Everyone who is not kind or generous is not generous and vice versa.
If someone is either tall or not calm then lucy is both not old and not creative.
If alice is both not strong and funny then someone is creative or generous and vice ... | John is generous. | contradiction | (![X]:((quiet(X)&~happy(X))<=>(~calm(X)<~>brave(X))))&
(![X]:((~kind(X)|generous(X))<=>~generous(X)))&
((?[X]:((tall(X)<~>~calm(X))))=>((~old(lucy)&~creative(lucy))))&
(((~strong(alice)&funny(alice)))<=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((stron... | generous(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 547518956820768323634837
% SZS output start Proof for 547518956820768323634837
2. ! [X0] : ((generous(X0) | ~kind(X0)) <=> ~generous(X0)) [input p1]
24. generous(john) [input hypothesis]
36. ! [X0] : (((generous(X0) | ~kind(X0)) | generous(X0)) & (~generous(X0) | (~generous(X0) & kind(X0)... | 0 |
If lucy is not creative or kind then someone is kind or brave and vice versa. Everyone who is either generous or curious is creative. Everyone who is curious is funny or not brave. If mary is not strong then someone is not funny and vice versa. Everyone who is not happy or not brave is either calm or not curious. If so... | Paul is kind. | neutral | (((~creative(lucy)|kind(lucy)))<=>(?[X]:((kind(X)|brave(X)))))&
(![X]:((generous(X)<~>curious(X))=>creative(X)))&
(![X]:(curious(X)=>(funny(X)|~brave(X))))&
((~strong(mary))<=>(?[X]:(~funny(X))))&
(![X]:((~happy(X)|~brave(X))=>(calm(X)<~>~curious(X))))&
((?[X]:((humble(X)|patient(X))))<=>(?[X]:((~funny(X)|~kind(X)))))&... | kind(paul) | [] | null | 0 |
Everyone who is funny is either happy or not strong and vice versa.
Everyone who is not quiet or not patient is not calm.
If alice is tall or not generous then susan is either humble or not tall.
Everyone who is either not generous or not brave is both not rich and not calm.
If mary is not creative then someone is not ... | Alice is calm. | contradiction | (![X]:(funny(X)<=>(happy(X)<~>~strong(X))))&
(![X]:((~quiet(X)|~patient(X))=>~calm(X)))&
(((tall(alice)|~generous(alice)))=>((humble(susan)<~>~tall(susan))))&
(![X]:((~generous(X)<~>~brave(X))=>(~rich(X)&~calm(X))))&
((~creative(mary))<=>(?[X]:((~quiet(X)|~curious(X)))))&
(![X]:((strong(X)<~>kind(X))=>(~tall(X)&happy(X... | calm(alice) | [
"p1",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6439709353737853375139181
% SZS output start Proof for 6439709353737853375139181
2. ! [X0] : ((~patient(X0) | ~quiet(X0)) => ~calm(X0)) [input p1]
11. ? [X0] : (~humble(X0) | tall(X0)) <=> ~quiet(alice) [input p10]
19. ? [X0] : (~wise(X0) & ~humble(X0)) [input p18]
24. calm(alice) [input ... | 0 |
If someone is both curious and not brave then someone is either curious or not patient and vice versa.
If someone is both kind and generous then alice is patient.
Everyone who is creative is rich and vice versa.
If alice is patient or old then john is humble or not curious and vice versa.
If mary is both curious and no... | Paul is not kind. | contradiction | ((?[X]:((curious(X)&~brave(X))))<=>(?[X]:((curious(X)<~>~patient(X)))))&
((?[X]:((kind(X)&generous(X))))=>(patient(alice)))&
(![X]:(creative(X)<=>rich(X)))&
(((patient(alice)|old(alice)))<=>((humble(john)|~curious(john))))&
(((curious(mary)&~strong(mary)))=>(?[X]:((patient(X)|~creative(X)))))&
(![X]:(~kind(X)<=>(~kind(... | ~kind(paul) | [
"p5",
"p6",
"p7",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1378449308016872062310235
% SZS output start Proof for 1378449308016872062310235
6. ! [X0] : (~kind(X0) <=> (~calm(X0) & ~kind(X0))) [input p5]
7. ! [X0] : ((~calm(X0) | curious(X0)) => (creative(X0) & ~curious(X0))) [input p6]
8. ? [X0] : (strong(X0) | wise(X0)) <=> (curious(paul) <~> ~t... | 0 |
If someone is both not creative and generous then someone is either not kind or not old and vice versa.
Everyone who is calm or not generous is either not brave or not wise and vice versa.
If someone is either not quiet or creative then someone is both not humble and rich.
If someone is calm or not kind then susan is n... | Lucy is not tall. | neutral | ((?[X]:((~creative(X)&generous(X))))<=>(?[X]:((~kind(X)<~>~old(X)))))&
(![X]:((calm(X)|~generous(X))<=>(~brave(X)<~>~wise(X))))&
((?[X]:((~quiet(X)<~>creative(X))))=>(?[X]:((~humble(X)&rich(X)))))&
((?[X]:((calm(X)|~kind(X))))=>(~humble(susan)))&
(![X]:((tall(X)|~generous(X))=>generous(X)))&
((?[X]:(old(X)))=>(curious(... | ~tall(lucy) | [] | null | 0 |
Everyone who is calm is either brave or not quiet and vice versa.
Everyone who is both not humble and not funny is either funny or not brave and vice versa.
Everyone who is both not patient and calm is not strong or rich.
If someone is not brave or not generous then someone is not tall.
Everyone who is not brave or not... | Alice is not tall. | neutral | (![X]:(calm(X)<=>(brave(X)<~>~quiet(X))))&
(![X]:((~humble(X)&~funny(X))<=>(funny(X)<~>~brave(X))))&
(![X]:((~patient(X)&calm(X))=>(~strong(X)|rich(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)|~rich(X))=>(~brave(X)<~>old(X))))&
((?[X]:(~quiet(X)))<=>(~quiet(paul)))&
(((~brave(alice)<... | ~tall(alice) | [] | null | 0 |
Everyone who is brave is not happy or brave.
If someone is both wise and generous then paul is both not creative and not funny and vice versa.
Everyone who is not generous or patient is old.
If susan is calm then mary is generous or brave.
Everyone who is not happy or kind is not brave.
Everyone who is not curious is n... | Paul is not kind. | entailment | (![X]:(brave(X)=>(~happy(X)|brave(X))))&
((?[X]:((wise(X)&generous(X))))<=>((~creative(paul)&~funny(paul))))&
(![X]:((~generous(X)|patient(X))=>old(X)))&
((calm(susan))=>((generous(mary)|brave(mary))))&
(![X]:((~happy(X)|kind(X))=>~brave(X)))&
(![X]:(~curious(X)=>~calm(X)))&
(![X]:((~creative(X)&calm(X))=>(~creative(X)... | ~kind(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6144144123500573235302123
% SZS output start Proof for 6144144123500573235302123
15. ? [X0] : (happy(X0) | kind(X0)) <=> (~happy(alice) & happy(alice)) [input p14]
25. kind(paul) [input hypothesis]
58. (? [X0] : (happy(X0) | kind(X0)) | (happy(alice) | ~happy(alice))) & ((~happy(alice) & ... | 0 |
If someone is either humble or not wise then someone is kind or happy. If someone is either not brave or creative then someone is not kind. Everyone who is strong is both tall and not calm and vice versa. Everyone who is both rich and not tall is both tall and not calm and vice versa. If someone is both curious and gen... | Paul is old. | contradiction | ((?[X]:((humble(X)<~>~wise(X))))=>(?[X]:((kind(X)|happy(X)))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(~kind(X))))&
(![X]:(strong(X)<=>(tall(X)&~calm(X))))&
(![X]:((rich(X)&~tall(X))<=>(tall(X)&~calm(X))))&
((?[X]:((curious(X)&generous(X))))=>(?[X]:((curious(X)&humble(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(?[X... | old(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1202901537329282571183848
% SZS output start Proof for 1202901537329282571183848
8. ! [X0] : (old(X0) => ~old(X0)) [input p7]
25. old(paul) [input hypothesis]
38. ! [X0] : (~old(X0) | ~old(X0)) [ennf transformation 8]
114. ~old(X0) | ~old(X0) [cnf transformation 38]
151. old(paul) [cnf tr... | 0 |
Everyone who is both old and not patient is brave or generous and vice versa. Everyone who is either strong or quiet is both funny and not quiet. If someone is not generous or not humble then someone is not calm. If lucy is not generous then mary is both not happy and not brave and vice versa. Everyone who is kind or h... | Susan is tall. | neutral | (![X]:((old(X)&~patient(X))<=>(brave(X)|generous(X))))&
(![X]:((strong(X)<~>quiet(X))=>(funny(X)&~quiet(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:(~calm(X))))&
((~generous(lucy))<=>((~happy(mary)&~brave(mary))))&
(![X]:((kind(X)|humble(X))=>~creative(X)))&
(![X]:((~funny(X)|generous(X))<=>(~wise(X)<~>curious(X)... | tall(susan) | [] | null | 0 |
Everyone who is either not patient or not curious is both not creative and rich. Everyone who is not brave or curious is both strong and not strong and vice versa. If someone is not wise or not patient then someone is both generous and not kind. Everyone who is curious or not curious is either not creative or not kind ... | Paul is funny. | contradiction | (![X]:((~patient(X)<~>~curious(X))=>(~creative(X)&rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(strong(X)&~strong(X))))&
((?[X]:((~wise(X)|~patient(X))))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((curious(X)|~curious(X))<=>(~creative(X)<~>~kind(X))))&
(![X]:(creative(X)=>(old(X)|patient(X))))&
(![X]:((generous(X)<~>kind... | funny(paul) | [
"p0",
"p1",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8886428739008704355368261
% SZS output start Proof for 8886428739008704355368261
1. ! [X0] : ((~patient(X0) <~> ~curious(X0)) => (rich(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~strong(X0) & strong(X0))) [input p1]
8. ! [X0] : ((creative(X0) <~> ~happy(... | 0 |
Everyone who is wise or not wise is either not quiet or happy.
If lucy is humble or happy then susan is not funny and vice versa.
If alice is calm or not strong then lucy is either kind or tall and vice versa.
If fred is not quiet then mary is either not old or not creative and vice versa.
If someone is not happy then ... | John is generous. | contradiction | (![X]:((wise(X)|~wise(X))=>(~quiet(X)<~>happy(X))))&
(((humble(lucy)|happy(lucy)))<=>(~funny(susan)))&
(((calm(alice)|~strong(alice)))<=>((kind(lucy)<~>tall(lucy))))&
((~quiet(fred))<=>((~old(mary)<~>~creative(mary))))&
((?[X]:(~happy(X)))<=>(?[X]:((~brave(X)<~>wise(X)))))&
(![X]:((rich(X)|generous(X))<=>(~old(X)|happy... | generous(john) | [
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1178244838103943636981221
% SZS output start Proof for 1178244838103943636981221
7. ! [X0] : ((calm(X0) & patient(X0)) <=> (wise(X0) & ~patient(X0))) [input p6]
12. ! [X0] : (calm(X0) <=> generous(X0)) [input p11]
15. ! [X0] : ((wise(X0) & ~wise(X0)) <=> (~patient(X0) <~> wise(X0))) [inpu... | 0 |
Everyone who is either curious or humble is not brave.
Everyone who is rich is both strong and brave and vice versa.
Everyone who is either not strong or creative is wise and vice versa.
If susan is both not old and not rich then someone is both not funny and calm.
Everyone who is not tall or funny is both quiet and wi... | John is strong. | entailment | (![X]:((curious(X)<~>humble(X))=>~brave(X)))&
(![X]:(rich(X)<=>(strong(X)&brave(X))))&
(![X]:((~strong(X)<~>creative(X))<=>wise(X)))&
(((~old(susan)&~rich(susan)))=>(?[X]:((~funny(X)&calm(X)))))&
(![X]:((~tall(X)|funny(X))<=>(quiet(X)&wise(X))))&
((kind(lucy))<=>(tall(fred)))&
(![X]:((~calm(X)<~>tall(X))=>(calm(X)|kind... | strong(john) | [
"p1",
"p4",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1679387420281690023852925
% SZS output start Proof for 1679387420281690023852925
2. ! [X0] : (rich(X0) <=> (brave(X0) & strong(X0))) [input p1]
5. ! [X0] : ((funny(X0) | ~tall(X0)) <=> (wise(X0) & quiet(X0))) [input p4]
14. ! [X0] : (~rich(X0) => (funny(X0) & ~rich(X0))) [input p13]
17. ~... | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa. Everyone who is calm is quiet and vice versa. Everyone who is tall is either not happy or funny. Everyone who is strong is either kind or not generous. Everyone who is not brave is not creative and vice versa. Everyone who is either no... | Susan is not curious. | entailment | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:(strong(X)=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~patient(mary)|~creative(mary)))=>(?[X]:((~curious(X)&~humble(... | ~curious(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3850772452330324446753929
% SZS output start Proof for 3850772452330324446753929
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
4. ! [X0] :... | 0 |
If alice is not wise then someone is not wise or not tall.
Everyone who is curious or strong is both not quiet and not curious.
If john is kind or not happy then someone is not patient.
If mary is both not strong and tall then paul is not brave and vice versa.
Everyone who is patient is curious or not old and vice vers... | Susan is not patient. | neutral | ((~wise(alice))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:((curious(X)|strong(X))=>(~quiet(X)&~curious(X))))&
(((kind(john)|~happy(john)))=>(?[X]:(~patient(X))))&
(((~strong(mary)&tall(mary)))<=>(~brave(paul)))&
(![X]:(patient(X)<=>(curious(X)|~old(X))))&
(![X]:(~creative(X)<=>(~rich(X)&wise(X))))&
(![X]:(~wise(X)=>(~rich(... | ~patient(susan) | [] | null | 0 |
If someone is either patient or not curious then someone is both tall and not humble. Everyone who is either not quiet or brave is not wise and vice versa. Everyone who is not patient is not kind and vice versa. If lucy is both tall and not funny then someone is both not humble and not wise and vice versa. Everyone who... | Susan is not funny. | entailment | ((?[X]:((patient(X)<~>~curious(X))))=>(?[X]:((tall(X)&~humble(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>~wise(X)))&
(![X]:(~patient(X)<=>~kind(X)))&
(((tall(lucy)&~funny(lucy)))<=>(?[X]:((~humble(X)&~wise(X)))))&
(![X]:((kind(X)<~>~creative(X))<=>(quiet(X)&~happy(X))))&
(![X]:((~wise(X)&~old(X))=>kind(X)))&
(![X]:((~old(... | ~funny(susan) | [
"p2",
"p4",
"p6",
"p10",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8340348703683214334303136
% SZS output start Proof for 8340348703683214334303136
3. ! [X0] : (~patient(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (~happy(X0) & quiet(X0))) [input p4]
7. ! [X0] : ((tall(X0) | ~old(X0)) => (~generous(X0) <~> ~wise(X0))) [inp... | 0 |
If fred is both not happy and not rich then someone is tall or not funny. Everyone who is not old is not curious. If alice is either calm or quiet then susan is not funny or not strong. Everyone who is both not rich and quiet is both not funny and old and vice versa. Everyone who is quiet is either happy or not quiet a... | Alice is tall. | entailment | (((~happy(fred)&~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy))))... | tall(alice) | [
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4666320172082818838457781
% SZS output start Proof for 4666320172082818838457781
5. ! [X0] : (quiet(X0) <=> (happy(X0) <~> ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | brave(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p6]
13. ! [X0] : (rich(X0) <=> (~rich(X0) | brave(X0))) [input p12]... | 0 |
Everyone who is not strong or not creative is brave or not old and vice versa.
Everyone who is either not funny or not kind is not kind and vice versa.
If someone is not creative or calm then someone is not old or not brave and vice versa.
Everyone who is both quiet and not curious is either brave or not quiet and vice... | Fred is strong. | contradiction | (![X]:((~strong(X)|~creative(X))<=>(brave(X)|~old(X))))&
(![X]:((~funny(X)<~>~kind(X))<=>~kind(X)))&
((?[X]:((~creative(X)|calm(X))))<=>(?[X]:((~old(X)|~brave(X)))))&
(![X]:((quiet(X)&~curious(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:((brave(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((kind(X)|~generous(X))=>(~happy(X)|patien... | strong(fred) | [
"p1",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8187833207189819144849076
% SZS output start Proof for 8187833207189819144849076
2. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> ~kind(X0)) [input p1]
9. ! [X0] : ((~kind(X0) <~> ~brave(X0)) <=> (strong(X0) | ~generous(X0))) [input p8]
12. ! [X0] : ((~strong(X0) <~> funny(X0)) => (~brave(X0) ... | 0 |
Everyone who is not calm is either not patient or funny.
If someone is either patient or not creative then someone is both not patient and humble and vice versa.
If someone is generous then someone is either not funny or not brave.
Everyone who is kind is patient or not creative.
Everyone who is not kind or tall is not... | Mary is wise. | entailment | (![X]:(~calm(X)=>(~patient(X)<~>funny(X))))&
((?[X]:((patient(X)<~>~creative(X))))<=>(?[X]:((~patient(X)&humble(X)))))&
((?[X]:(generous(X)))=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:(kind(X)=>(patient(X)|~creative(X))))&
(![X]:((~kind(X)|tall(X))=>(~brave(X)|rich(X))))&
((?[X]:((curious(X)&patient(X))))<=>(~quiet(luc... | wise(mary) | [
"p2",
"p9",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6122651804253759057822232
% SZS output start Proof for 6122651804253759057822232
3. ? [X0] : generous(X0) => ? [X0] : (~funny(X0) <~> ~brave(X0)) [input p2]
10. patient(lucy) <=> (~strong(susan) & generous(susan)) [input p9]
14. ? [X0] : (funny(X0) | brave(X0)) => wise(mary) [input p13]
1... | 0 |
Everyone who is not calm or tall is not creative and vice versa.
If someone is either not funny or not happy then alice is either not happy or kind.
Everyone who is calm is wise.
If paul is either generous or not calm then someone is kind or generous and vice versa.
If alice is not calm or calm then someone is not calm... | Paul is calm. | contradiction | (![X]:((~calm(X)|tall(X))<=>~creative(X)))&
((?[X]:((~funny(X)<~>~happy(X))))=>((~happy(alice)<~>kind(alice))))&
(![X]:(calm(X)=>wise(X)))&
(((generous(paul)<~>~calm(paul)))<=>(?[X]:((kind(X)|generous(X)))))&
(((~calm(alice)|calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&happy(X))=>(wise(X)&~happy(X))))&
(![X]:... | calm(paul) | [
"p2",
"p5",
"p7",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 680730407376701506524662
% SZS output start Proof for 680730407376701506524662
3. ! [X0] : (calm(X0) => wise(X0)) [input p2]
6. ! [X0] : ((happy(X0) & creative(X0)) => (~happy(X0) & wise(X0))) [input p5]
8. ! [X0] : (wise(X0) <=> creative(X0)) [input p7]
10. ! [X0] : ((~happy(X0) | ~wise(... | 0 |
Everyone who is either quiet or not tall is not strong and vice versa. If someone is not humble then mary is not kind and vice versa. Everyone who is funny is not funny or wise and vice versa. Everyone who is not strong or patient is not funny or brave and vice versa. If paul is not happy then someone is either not tal... | Susan is quiet. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>~strong(X)))&
((?[X]:(~humble(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&cu... | quiet(susan) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5202412073729125302661120
% SZS output start Proof for 5202412073729125302661120
3. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p2]
14. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (wise(X0) <~> happy(X0))) [input p13]
22. quiet(susan) [input hypothesis]
39. ! [X0] : ((funny(X0) |... | 0 |
Everyone who is not strong is both not patient and not curious and vice versa.
Everyone who is either funny or happy is not wise.
If someone is happy then paul is either not generous or rich and vice versa.
If alice is not generous then someone is both not strong and not rich and vice versa.
If paul is both not creativ... | Susan is not brave. | entailment | (![X]:(~strong(X)<=>(~patient(X)&~curious(X))))&
(![X]:((funny(X)<~>happy(X))=>~wise(X)))&
((?[X]:(happy(X)))<=>((~generous(paul)<~>rich(paul))))&
((~generous(alice))<=>(?[X]:((~strong(X)&~rich(X)))))&
(((~creative(paul)&old(paul)))=>((funny(paul)<~>quiet(paul))))&
((?[X]:((~generous(X)<~>~wise(X))))=>(~wise(fred)))&
(... | ~brave(susan) | [
"p6",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7603808604445044973480456
% SZS output start Proof for 7603808604445044973480456
7. ! [X0] : (~patient(X0) <=> (wise(X0) & strong(X0))) [input p6]
9. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~brave(X0) | tall(X0))) [input p8]
10. ! [X0] : (patient(X0) <=> (~rich(X0) & ~curious(X0))) [input p... | 0 |
Everyone who is not calm or calm is both not curious and not generous.
Everyone who is both not humble and brave is both funny and wise.
If someone is not happy or not generous then someone is both brave and rich.
Everyone who is either not patient or tall is both creative and old and vice versa.
If lucy is either not ... | Fred is not strong. | neutral | (![X]:((~calm(X)|calm(X))=>(~curious(X)&~generous(X))))&
(![X]:((~humble(X)&brave(X))=>(funny(X)&wise(X))))&
((?[X]:((~happy(X)|~generous(X))))=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((~patient(X)<~>tall(X))<=>(creative(X)&old(X))))&
(((~kind(lucy)<~>~calm(lucy)))=>(?[X]:(generous(X))))&
((?[X]:(~humble(X)))<=>((funny(jo... | ~strong(fred) | [] | null | 0 |
If paul is brave then someone is brave and vice versa. Everyone who is both curious and happy is both not creative and not happy and vice versa. If someone is both funny and humble then alice is not funny or patient. If lucy is not rich or not curious then alice is brave or funny and vice versa. Everyone who is either ... | Paul is rich. | contradiction | ((brave(paul))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)&happy(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((funny(X)&humble(X))))=>((~funny(alice)|patient(alice))))&
(((~rich(lucy)|~curious(lucy)))<=>((brave(alice)|funny(alice))))&
(![X]:((~strong(X)<~>~humble(X))<=>(tall(X)|generous(X))))&
(![X]:((~generous(X)<~>generous... | rich(paul) | [
"p1",
"p9",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4665495916850110318162932
% SZS output start Proof for 4665495916850110318162932
2. ! [X0] : ((happy(X0) & curious(X0)) <=> (~happy(X0) & ~creative(X0))) [input p1]
10. ! [X0] : ((creative(X0) | curious(X0)) <=> (~wise(X0) & happy(X0))) [input p9]
14. ! [X0] : ((kind(X0) | creative(X0)) =... | 0 |
If alice is strong then alice is tall and vice versa.
Everyone who is both creative and funny is either brave or kind.
If john is both not kind and old then someone is not creative or not funny and vice versa.
Everyone who is not curious is either not patient or humble.
If someone is not curious then alice is old.
Ever... | Alice is not brave. | neutral | ((strong(alice))<=>(tall(alice)))&
(![X]:((creative(X)&funny(X))=>(brave(X)<~>kind(X))))&
(((~kind(john)&old(john)))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:(~curious(X)=>(~patient(X)<~>humble(X))))&
((?[X]:(~curious(X)))=>(old(alice)))&
(![X]:((~funny(X)|~rich(X))<=>(~strong(X)<~>patient(X))))&
((?[X]:((humble(X)|... | ~brave(alice) | [] | null | 0 |
Everyone who is both kind and not wise is both not creative and strong. Everyone who is both not rich and brave is not creative and vice versa. Everyone who is rich is not generous or not humble. Everyone who is both creative and not happy is either quiet or not quiet. Everyone who is not brave is not happy. If someone... | Mary is not rich. | contradiction | (![X]:((kind(X)&~wise(X))=>(~creative(X)&strong(X))))&
(![X]:((~rich(X)&brave(X))<=>~creative(X)))&
(![X]:(rich(X)=>(~generous(X)|~humble(X))))&
(![X]:((creative(X)&~happy(X))=>(quiet(X)<~>~quiet(X))))&
(![X]:(~brave(X)=>~happy(X)))&
((?[X]:((~wise(X)&happy(X))))<=>(funny(susan)))&
(![X]:(humble(X)<=>~happy(X)))&
(((pa... | ~rich(mary) | [
"p9",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4013445369580128529290372
% SZS output start Proof for 4013445369580128529290372
10. ! [X0] : ((~patient(X0) & kind(X0)) <=> ~old(X0)) [input p9]
12. ! [X0] : ((old(X0) | strong(X0)) <=> (~old(X0) & ~brave(X0))) [input p11]
23. ~kind(mary) <~> rich(mary) [input p22]
24. ~rich(mary) [input... | 0 |
Everyone who is both not brave and funny is quiet or happy and vice versa. Everyone who is both not kind and brave is either kind or generous and vice versa. Everyone who is both tall and curious is either not generous or tall. If mary is not creative then mary is either not funny or not tall and vice versa. If lucy is... | Fred is curious. | contradiction | (![X]:((~brave(X)&funny(X))<=>(quiet(X)|happy(X))))&
(![X]:((~kind(X)&brave(X))<=>(kind(X)<~>generous(X))))&
(![X]:((tall(X)&curious(X))=>(~generous(X)<~>tall(X))))&
((~creative(mary))<=>((~funny(mary)<~>~tall(mary))))&
(((~calm(lucy)<~>happy(lucy)))=>(?[X]:((humble(X)|strong(X)))))&
(((~tall(lucy)|curious(lucy)))=>((w... | curious(fred) | [
"p0",
"p6",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4568510299758388913493841
% SZS output start Proof for 4568510299758388913493841
1. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (happy(X0) | quiet(X0))) [input p0]
7. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (kind(X0) <~> ~patient(X0))) [input p6]
11. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> (stron... | 0 |
If john is either not generous or not humble then someone is either tall or not tall and vice versa.
If alice is either not humble or not wise then susan is both not humble and not happy.
If alice is either not old or not creative then fred is wise.
Everyone who is happy is not tall and vice versa.
If john is both old ... | Lucy is not rich. | contradiction | (((~generous(john)<~>~humble(john)))<=>(?[X]:((tall(X)<~>~tall(X)))))&
(((~humble(alice)<~>~wise(alice)))=>((~humble(susan)&~happy(susan))))&
(((~old(alice)<~>~creative(alice)))=>(wise(fred)))&
(![X]:(happy(X)<=>~tall(X)))&
(((old(john)&~funny(john)))=>((happy(lucy)&~calm(lucy))))&
((?[X]:((~wise(X)&~tall(X))))=>((brav... | ~rich(lucy) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5514974023185860762126522
% SZS output start Proof for 5514974023185860762126522
10. ! [X0] : ((rich(X0) & generous(X0)) <=> ~brave(X0)) [input p9]
18. ~brave(lucy) & ~curious(lucy) [input p17]
25. ~rich(lucy) [input hypothesis]
50. ! [X0] : (((rich(X0) & generous(X0)) | brave(X0)) & (~br... | 0 |
Everyone who is either not brave or not strong is not humble or not brave and vice versa.
If someone is either not rich or old then alice is not rich or not old and vice versa.
Everyone who is both not patient and humble is both not patient and not curious and vice versa.
If fred is kind or quiet then someone is either... | Susan is not curious. | neutral | (![X]:((~brave(X)<~>~strong(X))<=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)&~curious(X))))&
(((kind(fred)|quiet(fred)))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X... | ~curious(susan) | [] | null | 0 |
If paul is either patient or not happy then someone is both humble and patient and vice versa.
If alice is not patient then alice is either not humble or kind.
Everyone who is both brave and creative is either not brave or kind and vice versa.
Everyone who is wise or generous is brave and vice versa.
If someone is stro... | Mary is not calm. | contradiction | (((patient(paul)<~>~happy(paul)))<=>(?[X]:((humble(X)&patient(X)))))&
((~patient(alice))=>((~humble(alice)<~>kind(alice))))&
(![X]:((brave(X)&creative(X))<=>(~brave(X)<~>kind(X))))&
(![X]:((wise(X)|generous(X))<=>brave(X)))&
((?[X]:((strong(X)|~happy(X))))=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~happy(X)<~>~quiet... | ~calm(mary) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7195021363376104119704880
% SZS output start Proof for 7195021363376104119704880
3. ! [X0] : ((creative(X0) & brave(X0)) <=> (~brave(X0) <~> kind(X0))) [input p2]
8. ? [X0] : (brave(X0) | kind(X0)) => calm(mary) [input p7]
22. ~calm(mary) [input hypothesis]
30. calm(mary) | ! [X0] : (~bra... | 0 |
Everyone who is old is both not humble and brave and vice versa. Everyone who is kind is either creative or not patient and vice versa. If someone is both not curious and wise then lucy is happy and vice versa. If paul is either humble or not generous then alice is both not old and tall and vice versa. If someone is fu... | Fred is not funny. | neutral | (![X]:(old(X)<=>(~humble(X)&brave(X))))&
(![X]:(kind(X)<=>(creative(X)<~>~patient(X))))&
((?[X]:((~curious(X)&wise(X))))<=>(happy(lucy)))&
(((humble(paul)<~>~generous(paul)))<=>((~old(alice)&tall(alice))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:(~creative(X))))&
(![X]:((rich(X)|~rich(X))<=>~brave(X)))&
((?[X]:((kind(X)... | ~funny(fred) | [] | null | 0 |
If someone is both not quiet and patient then someone is either kind or not creative.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is not creative or not strong is tall and vice versa.
Everyone who... | John is not humble. | neutral | ((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((kind(X)<~>~creative(X)))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quiet(X)&~rich(X))=>(patient(X)<~>rich(X))))&
(((~... | ~humble(john) | [] | null | 0 |
If someone is generous then someone is not brave or patient and vice versa.
If mary is not creative then someone is either not funny or not kind and vice versa.
Everyone who is generous is both old and not happy and vice versa.
Everyone who is patient or not calm is both not tall and not kind.
Everyone who is either no... | Lucy is not generous. | neutral | ((?[X]:(generous(X)))<=>(?[X]:((~brave(X)|patient(X)))))&
((~creative(mary))<=>(?[X]:((~funny(X)<~>~kind(X)))))&
(![X]:(generous(X)<=>(old(X)&~happy(X))))&
(![X]:((patient(X)|~calm(X))=>(~tall(X)&~kind(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(humble(X)&~happy(X))))&
(![X]:(~kind(X)<=>creative(X)))&
(((~rich(fred)<~>~pa... | ~generous(lucy) | [] | null | 0 |
If susan is funny or generous then someone is strong or not quiet and vice versa.
If someone is either not funny or not old then someone is funny or not generous and vice versa.
Everyone who is either calm or quiet is either not generous or happy and vice versa.
If someone is wise then someone is not tall or creative a... | John is strong. | neutral | (((funny(susan)|generous(susan)))<=>(?[X]:((strong(X)|~quiet(X)))))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:((funny(X)|~generous(X)))))&
(![X]:((calm(X)<~>quiet(X))<=>(~generous(X)<~>happy(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~tall(X)|creative(X)))))&
(![X]:((~creative(X)|~generous(X))<=>(~strong(X)|kind(X))))&
(![X]:((... | strong(john) | [] | null | 0 |
Everyone who is not strong is generous or old and vice versa. Everyone who is curious is both not curious and not patient and vice versa. Everyone who is old is not kind or tall and vice versa. If someone is both rich and patient then fred is both not quiet and not brave. Everyone who is calm or brave is both not wise ... | Alice is generous. | entailment | (![X]:(~strong(X)<=>(generous(X)|old(X))))&
(![X]:(curious(X)<=>(~curious(X)&~patient(X))))&
(![X]:(old(X)<=>(~kind(X)|tall(X))))&
((?[X]:((rich(X)&patient(X))))=>((~quiet(fred)&~brave(fred))))&
(![X]:((calm(X)|brave(X))<=>(~wise(X)&brave(X))))&
(![X]:(generous(X)<=>(~rich(X)&old(X))))&
((?[X]:((funny(X)<~>~creative(X)... | generous(alice) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 549923194028979825461339
% SZS output start Proof for 549923194028979825461339
2. ! [X0] : (curious(X0) <=> (~patient(X0) & ~curious(X0))) [input p1]
5. ! [X0] : ((brave(X0) | calm(X0)) <=> (brave(X0) & ~wise(X0))) [input p4]
9. ! [X0] : ((generous(X0) | curious(X0)) <=> (~happy(X0) <~> c... | 0 |
If someone is creative then someone is not tall and vice versa.
Everyone who is not kind or not funny is brave or not calm and vice versa.
Everyone who is both happy and not tall is not old.
Everyone who is not generous or not quiet is patient or not humble and vice versa.
Everyone who is either not wise or not brave i... | Mary is generous. | contradiction | ((?[X]:(creative(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~kind(X)|~funny(X))<=>(brave(X)|~calm(X))))&
(![X]:((happy(X)&~tall(X))=>~old(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(patient(X)|~humble(X))))&
(![X]:((~wise(X)<~>~brave(X))<=>(wise(X)|~brave(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))&
(((~patient(mary)<~>brave(mar... | generous(mary) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 400373504213580046495021
% SZS output start Proof for 400373504213580046495021
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (~calm(X0) | brave(X0))) [input p1]
5. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> (~brave(X0) | wise(X0))) [input p4]
6. ! [X0] : ((happy(X0) & ~calm(X0)) => rich(X0)) [i... | 0 |
If someone is not kind then paul is either not brave or patient and vice versa. If someone is both not quiet and strong then someone is not wise or humble. Everyone who is either not tall or not calm is either not brave or not creative and vice versa. If someone is not brave or kind then someone is not funny or brave a... | Lucy is funny. | entailment | ((?[X]:(~kind(X)))<=>((~brave(paul)<~>patient(paul))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~wise(X)|humble(X)))))&
(![X]:((~tall(X)<~>~calm(X))<=>(~brave(X)<~>~creative(X))))&
((?[X]:((~brave(X)|kind(X))))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~funny(X)&brave(X))<=>(creative(X)|~brave(X))))&
(![X]:((~old(X)<~... | funny(lucy) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8484014944279875738428960
% SZS output start Proof for 8484014944279875738428960
3. ! [X0] : ((~tall(X0) <~> ~calm(X0)) <=> (~brave(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (~brave(X0) | creative(X0))) [input p4]
13. ! [X0] : ((funny(X0) & patient(X0)) ... | 0 |
If someone is calm or not patient then paul is both not curious and funny.
Everyone who is happy is either not brave or tall and vice versa.
If someone is not humble then someone is quiet or wise and vice versa.
If someone is either not kind or not strong then someone is either funny or old and vice versa.
If someone i... | Alice is generous. | neutral | ((?[X]:((calm(X)|~patient(X))))=>((~curious(paul)&funny(paul))))&
(![X]:(happy(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>(?[X]:((funny(X)<~>old(X)))))&
((?[X]:(humble(X)))<=>((~generous(alice)|~strong(alice))))&
(![X]:((wise(X)&~strong(X))=>(~... | generous(alice) | [] | null | 0 |
If paul is not funny then mary is both not patient and not calm. Everyone who is either kind or not generous is both funny and calm and vice versa. Everyone who is either not strong or not brave is not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not b... | Paul is not rich. | entailment | ((~funny(paul))=>((~patient(mary)&~calm(mary))))&
(![X]:((kind(X)<~>~generous(X))<=>(funny(X)&calm(X))))&
(![X]:((~strong(X)<~>~brave(X))=>~kind(X)))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient... | ~rich(paul) | [
"p4",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 929074035179923747706558
% SZS output start Proof for 929074035179923747706558
5. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p4]
11. (~brave(paul) & ~generous(paul)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p10]
12. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~old(X0) | ~calm(X0))) ... | 0 |
If lucy is not rich then someone is either not funny or not generous and vice versa.
Everyone who is both wise and tall is both strong and tall and vice versa.
Everyone who is not kind is curious or not generous.
Everyone who is either not strong or humble is strong or happy and vice versa.
If someone is both strong an... | Fred is strong. | neutral | ((~rich(lucy))<=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:((wise(X)&tall(X))<=>(strong(X)&tall(X))))&
(![X]:(~kind(X)=>(curious(X)|~generous(X))))&
(![X]:((~strong(X)<~>humble(X))<=>(strong(X)|happy(X))))&
((?[X]:((strong(X)&~calm(X))))=>(happy(paul)))&
(((patient(fred)|old(fred)))<=>(?[X]:((creative(X)|~tall(X)))))... | strong(fred) | [] | null | 0 |
Everyone who is not wise or not humble is both tall and not rich and vice versa. Everyone who is either curious or not happy is both curious and calm. Everyone who is not kind is patient and vice versa. Everyone who is both not wise and not generous is humble or not patient and vice versa. Everyone who is strong or cal... | John is not strong. | entailment | (![X]:((~wise(X)|~humble(X))<=>(tall(X)&~rich(X))))&
(![X]:((curious(X)<~>~happy(X))=>(curious(X)&calm(X))))&
(![X]:(~kind(X)<=>patient(X)))&
(![X]:((~wise(X)&~generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((strong(X)|calm(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((~calm(X)<~>~tall(X))=>(~rich(X)|wise(X))))&
(![X]:((r... | ~strong(john) | [
"p0",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3162083315652885378809508
% SZS output start Proof for 3162083315652885378809508
1. ! [X0] : ((~humble(X0) | ~wise(X0)) <=> (~rich(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (~patient(X0) | humble(X0))) [input p3]
5. ! [X0] : ((calm(X0) | strong(X0)) <=> (str... | 0 |
Everyone who is curious is either not calm or humble and vice versa. If someone is either not curious or not wise then someone is either not calm or not creative and vice versa. If alice is happy then john is either not old or generous. If someone is rich or not funny then john is generous or not creative and vice vers... | Paul is not generous. | entailment | (![X]:(curious(X)<=>(~calm(X)<~>humble(X))))&
((?[X]:((~curious(X)<~>~wise(X))))<=>(?[X]:((~calm(X)<~>~creative(X)))))&
((happy(alice))=>((~old(john)<~>generous(john))))&
((?[X]:((rich(X)|~funny(X))))<=>((generous(john)|~creative(john))))&
(![X]:(~tall(X)<=>(curious(X)&old(X))))&
((?[X]:((~calm(X)|~tall(X))))<=>((tall(... | ~generous(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 703916607500877013660224
% SZS output start Proof for 703916607500877013660224
16. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> ~quiet(X0)) [input p15]
24. generous(paul) [input hypothesis]
70. ! [X0] : (((quiet(X0) | ~generous(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & generous(X0)))) ... | 0 |
Everyone who is patient is both not old and not happy and vice versa.
If someone is either quiet or happy then alice is either not curious or rich and vice versa.
If someone is either not wise or curious then someone is curious or not creative.
If someone is both not quiet and not calm then someone is both not humble a... | Susan is funny. | entailment | (![X]:(patient(X)<=>(~old(X)&~happy(X))))&
((?[X]:((quiet(X)<~>happy(X))))<=>((~curious(alice)<~>rich(alice))))&
((?[X]:((~wise(X)<~>curious(X))))=>(?[X]:((curious(X)|~creative(X)))))&
((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:((~humble(X)&calm(X)))))&
(![X]:((~generous(X)|~creative(X))<=>(funny(X)<~>calm(X))))&
((?[X]:((... | funny(susan) | [
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 625625743486502339726502
% SZS output start Proof for 625625743486502339726502
6. ? [X0] : (generous(X0) <~> funny(X0)) => (~wise(mary) & ~generous(mary)) [input p5]
8. ! [X0] : ((kind(X0) | curious(X0)) <=> (patient(X0) & strong(X0))) [input p7]
9. ! [X0] : ((strong(X0) <~> generous(X0))... | 0 |
Everyone who is calm is not kind.
If someone is both creative and not rich then someone is both not quiet and calm and vice versa.
If lucy is curious then paul is either generous or rich.
Everyone who is both not kind and not wise is both creative and not funny and vice versa.
Everyone who is either not old or not pati... | John is happy. | entailment | (![X]:(calm(X)=>~kind(X)))&
((?[X]:((creative(X)&~rich(X))))<=>(?[X]:((~quiet(X)&calm(X)))))&
((curious(lucy))=>((generous(paul)<~>rich(paul))))&
(![X]:((~kind(X)&~wise(X))<=>(creative(X)&~funny(X))))&
(![X]:((~old(X)<~>~patient(X))=>(~happy(X)|rich(X))))&
(![X]:(~rich(X)<=>(~strong(X)&~patient(X))))&
((quiet(paul))=>(... | happy(john) | [
"p0",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6644600298269654824469966
% SZS output start Proof for 6644600298269654824469966
1. ! [X0] : (calm(X0) => ~kind(X0)) [input p0]
11. (kind(john) & ~wise(john)) <=> ? [X0] : (~tall(X0) | ~wise(X0)) [input p10]
12. ? [X0] : (~tall(X0) & generous(X0)) <=> ? [X0] : calm(X0) [input p11]
15. ! [... | 0 |
If lucy is either not quiet or not wise then someone is brave.
Everyone who is both not strong and strong is not strong and vice versa.
Everyone who is either not creative or not funny is not wise or funny.
Everyone who is not patient is either not happy or generous and vice versa.
If someone is not old then someone is... | Lucy is not kind. | neutral | (((~quiet(lucy)<~>~wise(lucy)))=>(?[X]:(brave(X))))&
(![X]:((~strong(X)&strong(X))<=>~strong(X)))&
(![X]:((~creative(X)<~>~funny(X))=>(~wise(X)|funny(X))))&
(![X]:(~patient(X)<=>(~happy(X)<~>generous(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~humble(X)|humble(X))=>(curious(X)<~>rich(X))))&
(![X]:(~humble(X... | ~kind(lucy) | [] | null | 0 |
Everyone who is not kind is kind or not creative. Everyone who is either not patient or not creative is either happy or not quiet. If lucy is either not creative or quiet then someone is both strong and not quiet. Everyone who is not patient or not creative is both not brave and not wise and vice versa. Everyone who is... | Paul is kind. | neutral | (![X]:(~kind(X)=>(kind(X)|~creative(X))))&
(![X]:((~patient(X)<~>~creative(X))=>(happy(X)<~>~quiet(X))))&
(((~creative(lucy)<~>quiet(lucy)))=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~patient(X)|~creative(X))<=>(~brave(X)&~wise(X))))&
(![X]:((funny(X)&wise(X))=>(strong(X)&~rich(X))))&
((~happy(john))=>(?[X]:((wise(X)|~... | kind(paul) | [] | null | 0 |
If mary is humble or funny then alice is either not patient or not happy and vice versa.
If someone is not curious then paul is not curious and vice versa.
If paul is not happy or not kind then alice is not wise or happy and vice versa.
If alice is not generous then alice is not rich or humble and vice versa.
If mary i... | Mary is not quiet. | neutral | (((humble(mary)|funny(mary)))<=>((~patient(alice)<~>~happy(alice))))&
((?[X]:(~curious(X)))<=>(~curious(paul)))&
(((~happy(paul)|~kind(paul)))<=>((~wise(alice)|happy(alice))))&
((~generous(alice))<=>((~rich(alice)|humble(alice))))&
(((creative(mary)|~strong(mary)))=>((kind(mary)<~>creative(mary))))&
(![X]:((kind(X)|~ri... | ~quiet(mary) | [] | null | 0 |
If susan is not patient then paul is rich or creative and vice versa. If someone is both not tall and not old then mary is both wise and funny. If someone is either not quiet or creative then someone is not old or not tall and vice versa. Everyone who is either quiet or not generous is not quiet. Everyone who is creati... | Alice is not quiet. | entailment | ((~patient(susan))<=>((rich(paul)|creative(paul))))&
((?[X]:((~tall(X)&~old(X))))=>((wise(mary)&funny(mary))))&
((?[X]:((~quiet(X)<~>creative(X))))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((quiet(X)<~>~generous(X))=>~quiet(X)))&
(![X]:(creative(X)<=>(brave(X)<~>~old(X))))&
(![X]:((~tall(X)<~>rich(X))<=>(~quiet(X)<~>~gene... | ~quiet(alice) | [
"p7",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2228477536198799137148445
% SZS output start Proof for 2228477536198799137148445
8. ! [X0] : (~rich(X0) <=> (calm(X0) <~> ~quiet(X0))) [input p7]
9. ! [X0] : ((~rich(X0) & ~old(X0)) <=> (calm(X0) <~> rich(X0))) [input p8]
12. ! [X0] : ((humble(X0) | wise(X0)) <=> (~calm(X0) <~> ~quiet(X0)... | 0 |
Everyone who is strong is old or kind and vice versa.
If mary is humble then someone is humble and vice versa.
Everyone who is either not generous or humble is not wise or not humble and vice versa.
Everyone who is both not old and not funny is both not rich and not wise and vice versa.
If someone is kind then someone ... | Fred is wise. | contradiction | (![X]:(strong(X)<=>(old(X)|kind(X))))&
((humble(mary))<=>(?[X]:(humble(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(~wise(X)|~humble(X))))&
(![X]:((~old(X)&~funny(X))<=>(~rich(X)&~wise(X))))&
((?[X]:(kind(X)))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:((~old(X)&quiet(X))<=>(brave(X)|~kind(X))))&
(![X]:((~wise(X)<~>~curious... | wise(fred) | [
"p0",
"p6",
"p8",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 365441346931943239978978
% SZS output start Proof for 365441346931943239978978
1. ! [X0] : (strong(X0) <=> (kind(X0) | old(X0))) [input p0]
7. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> ~humble(X0)) [input p6]
9. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (~creative(X0) & curious(X0))) [inp... | 0 |
If someone is not humble then john is both not kind and patient and vice versa.
If mary is either not strong or curious then someone is both patient and not creative.
Everyone who is not brave or not funny is both not wise and rich and vice versa.
If someone is either not creative or happy then alice is not curious.
Ev... | Mary is funny. | entailment | ((?[X]:(~humble(X)))<=>((~kind(john)&patient(john))))&
(((~strong(mary)<~>curious(mary)))=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:((~brave(X)|~funny(X))<=>(~wise(X)&rich(X))))&
((?[X]:((~creative(X)<~>happy(X))))=>(~curious(alice)))&
(![X]:((~happy(X)<~>quiet(X))=>(old(X)|~wise(X))))&
(![X]:((wise(X)|rich(X))=>(wis... | funny(mary) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7789008812040575053239056
% SZS output start Proof for 7789008812040575053239056
3. ! [X0] : ((~funny(X0) | ~brave(X0)) <=> (rich(X0) & ~wise(X0))) [input p2]
22. wise(mary) [input p21]
24. ~funny(mary) [input hypothesis]
48. ! [X0] : (((~funny(X0) | ~brave(X0)) | (~rich(X0) | wise(X0))) ... | 0 |
Everyone who is happy or not wise is either generous or quiet and vice versa.
Everyone who is either calm or patient is not strong.
If alice is funny then john is funny and vice versa.
If someone is either not rich or old then someone is either strong or old and vice versa.
Everyone who is both generous and not funny i... | Alice is strong. | entailment | (![X]:((happy(X)|~wise(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)<~>patient(X))=>~strong(X)))&
((funny(alice))<=>(funny(john)))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((generous(X)&~funny(X))<=>(~strong(X)&happy(X))))&
((?[X]:((strong(X)|~curious(X))))<=>((~curious(lucy)|wise(lucy... | strong(alice) | [
"p4",
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4185826827647317097197583
% SZS output start Proof for 4185826827647317097197583
5. ! [X0] : ((~funny(X0) & generous(X0)) <=> (happy(X0) & ~strong(X0))) [input p4]
8. ! [X0] : ((~tall(X0) & ~curious(X0)) => ~calm(X0)) [input p7]
9. ~rich(paul) <=> (brave(alice) | ~humble(alice)) [input p8... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.