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 |
|---|---|---|---|---|---|---|---|
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is generous or not old and vice versa.
Everyone who is calm is curious.
If john is not funny or not wise then mary is either not brave or not happy and vice versa.
Everyone who is either wise or strong is both creative and ... | Alice is patient. | contradiction | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((generous(X)|~old(X)))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((~g... | patient(alice) | [
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6532598588201419142491000
% SZS output start Proof for 6532598588201419142491000
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (~rich(X0) & ~patient(X0))) [input p12]
15. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (curious(X0) | creative(X0))) [input p14]
19. old(alice) & creative(alice) [inp... | 0 |
If susan is both rich and not generous then mary is either rich or not generous.
If someone is not quiet or kind then someone is not quiet.
Everyone who is either not humble or not tall is happy or kind.
Everyone who is not brave is either calm or not strong and vice versa.
Everyone who is wise is either not generous o... | Lucy is creative. | neutral | (((rich(susan)&~generous(susan)))=>((rich(mary)<~>~generous(mary))))&
((?[X]:((~quiet(X)|kind(X))))=>(?[X]:(~quiet(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(happy(X)|kind(X))))&
(![X]:(~brave(X)<=>(calm(X)<~>~strong(X))))&
(![X]:(wise(X)=>(~generous(X)<~>brave(X))))&
(![X]:((happy(X)&calm(X))=>(~humble(X)&old(X))))&
(![X... | creative(lucy) | [] | null | 0 |
Everyone who is both not generous and not strong is happy or not kind and vice versa.
If someone is brave or not old then someone is not generous and vice versa.
Everyone who is either kind or not patient is either kind or not old and vice versa.
If someone is brave or old then fred is either not humble or happy.
Every... | Paul is not happy. | entailment | (![X]:((~generous(X)&~strong(X))<=>(happy(X)|~kind(X))))&
((?[X]:((brave(X)|~old(X))))<=>(?[X]:(~generous(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(kind(X)<~>~old(X))))&
((?[X]:((brave(X)|old(X))))=>((~humble(fred)<~>happy(fred))))&
(![X]:((~rich(X)&~wise(X))<=>brave(X)))&
(![X]:((brave(X)<~>calm(X))<=>(strong(X)<~>brav... | ~happy(paul) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 171712927493072285287367
% SZS output start Proof for 171712927493072285287367
1. ! [X0] : ((~strong(X0) & ~generous(X0)) <=> (~kind(X0) | happy(X0))) [input p0]
21. strong(paul) [input p20]
25. happy(paul) [input hypothesis]
37. ! [X0] : (((~strong(X0) & ~generous(X0)) | (kind(X0) & ~hap... | 0 |
If someone is patient then lucy is either generous or kind and vice versa. Everyone who is either wise or not wise is both old and creative and vice versa. If fred is both calm and not patient then someone is either not old or strong. If susan is not kind or not brave then mary is both not tall and brave and vice versa... | Mary is wise. | contradiction | ((?[X]:(patient(X)))<=>((generous(lucy)<~>kind(lucy))))&
(![X]:((wise(X)<~>~wise(X))<=>(old(X)&creative(X))))&
(((calm(fred)&~patient(fred)))=>(?[X]:((~old(X)<~>strong(X)))))&
(((~kind(susan)|~brave(susan)))<=>((~tall(mary)&brave(mary))))&
((?[X]:((curious(X)|strong(X))))<=>(?[X]:((funny(X)&creative(X)))))&
((?[X]:((cu... | wise(mary) | [
"p3",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3299780680861175991374883
% SZS output start Proof for 3299780680861175991374883
4. (~brave(susan) | ~kind(susan)) <=> (brave(mary) & ~tall(mary)) [input p3]
9. ! [X0] : (brave(X0) <=> (~wise(X0) | ~calm(X0))) [input p8]
11. ! [X0] : ((patient(X0) | brave(X0)) <=> (~calm(X0) <~> wise(X0))... | 0 |
Everyone who is humble is not brave or happy and vice versa.
Everyone who is not strong is either calm or kind.
If alice is not curious or rich then someone is either generous or not brave and vice versa.
If someone is both not brave and not funny then someone is not kind and vice versa.
Everyone who is not wise or bra... | Susan is not strong. | entailment | (![X]:(humble(X)<=>(~brave(X)|happy(X))))&
(![X]:(~strong(X)=>(calm(X)<~>kind(X))))&
(((~curious(alice)|rich(alice)))<=>(?[X]:((generous(X)<~>~brave(X)))))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~wise(X)|brave(X))=>(quiet(X)|~funny(X))))&
(![X]:((~curious(X)&brave(X))<=>(~patient(X)|~calm(X))))&... | ~strong(susan) | [
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8340433298399520204394947
% SZS output start Proof for 8340433298399520204394947
5. ! [X0] : ((brave(X0) | ~wise(X0)) => (~funny(X0) | quiet(X0))) [input p4]
9. ! [X0] : ((calm(X0) | strong(X0)) => (funny(X0) & humble(X0))) [input p8]
12. ! [X0] : ((quiet(X0) & humble(X0)) <=> (~humble(X0... | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then mary is either creative or not funny and vice versa. Everyone who is rich or old is both curious and not quiet and vice versa. If someone is both old and patient then alice... | Alice is not quiet. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)<~>~funny(mary))))&
(![X]:((rich(X)|old(X))<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)&patient(X))))<=>((kind(alice)|curious(alice))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&k... | ~quiet(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9158572636017403590483879
% SZS output start Proof for 9158572636017403590483879
4. ! [X0] : ((old(X0) | rich(X0)) <=> (~quiet(X0) & curious(X0))) [input p3]
9. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(X0) & funny(X0))) [input p8]
22. quiet(alice) [input hypothesis]
28. ! [X0] : ((ric... | 0 |
Everyone who is either not curious or rich is both brave and not happy and vice versa. Everyone who is funny or curious is not humble. Everyone who is calm or not generous is both not strong and humble and vice versa. If someone is both not kind and not happy then mary is funny or happy and vice versa. Everyone who is ... | Alice is happy. | neutral | (![X]:((~curious(X)<~>rich(X))<=>(brave(X)&~happy(X))))&
(![X]:((funny(X)|curious(X))=>~humble(X)))&
(![X]:((calm(X)|~generous(X))<=>(~strong(X)&humble(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((funny(mary)|happy(mary))))&
(![X]:((tall(X)&humble(X))=>patient(X)))&
(![X]:((~strong(X)&~creative(X))=>(calm(X)&tall(X))))&
(... | happy(alice) | [] | null | 0 |
Everyone who is happy or not funny is not curious or not calm.
Everyone who is either not happy or not strong is either tall or not rich and vice versa.
If lucy is not brave then someone is not generous.
If john is both creative and kind then someone is either patient or not generous.
If paul is funny then someone is k... | John is kind. | contradiction | (![X]:((happy(X)|~funny(X))=>(~curious(X)|~calm(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>(tall(X)<~>~rich(X))))&
((~brave(lucy))=>(?[X]:(~generous(X))))&
(((creative(john)&kind(john)))=>(?[X]:((patient(X)<~>~generous(X)))))&
((funny(paul))=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(~happy(X)<~>tall(X))))&
(![X]:((~rich(X)... | kind(john) | [
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2592767824190993408402840
% SZS output start Proof for 2592767824190993408402840
10. ! [X0] : ((~kind(X0) <~> ~quiet(X0)) => (funny(X0) <~> ~generous(X0))) [input p9]
15. ! [X0] : ((~old(X0) | generous(X0)) => (quiet(X0) <~> ~funny(X0))) [input p14]
19. ~funny(john) & generous(john) [inpu... | 0 |
Everyone who is wise is tall or not brave and vice versa.
Everyone who is generous or tall is strong or kind and vice versa.
If someone is not funny or kind then someone is not rich.
If john is both not tall and not brave then john is not old and vice versa.
Everyone who is both not rich and not tall is not tall or cal... | John is curious. | contradiction | (![X]:(wise(X)<=>(tall(X)|~brave(X))))&
(![X]:((generous(X)|tall(X))<=>(strong(X)|kind(X))))&
((?[X]:((~funny(X)|kind(X))))=>(?[X]:(~rich(X))))&
(((~tall(john)&~brave(john)))<=>(~old(john)))&
(![X]:((~rich(X)&~tall(X))<=>(~tall(X)|calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((curious(X)|~patient(X)))))&
(((funny(mary)<~>pat... | curious(john) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 726027996990735069649533
% SZS output start Proof for 726027996990735069649533
2. ! [X0] : ((tall(X0) | generous(X0)) <=> (kind(X0) | strong(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (calm(X0) | ~tall(X0))) [input p4]
6. ? [X0] : ~tall(X0) <=> ? [X0] : (~patient(X0) | curi... | 0 |
Everyone who is not happy or kind is both happy and humble.
Everyone who is strong or not quiet is not happy or not rich.
If someone is generous then mary is either not happy or rich and vice versa.
If john is not brave or not happy then someone is patient or not tall and vice versa.
Everyone who is kind or generous is... | Lucy is quiet. | entailment | (![X]:((~happy(X)|kind(X))=>(happy(X)&humble(X))))&
(![X]:((strong(X)|~quiet(X))=>(~happy(X)|~rich(X))))&
((?[X]:(generous(X)))<=>((~happy(mary)<~>rich(mary))))&
(((~brave(john)|~happy(john)))<=>(?[X]:((patient(X)|~tall(X)))))&
(![X]:((kind(X)|generous(X))=>(rich(X)&~calm(X))))&
(![X]:(funny(X)=>(calm(X)<~>~rich(X))))&... | quiet(lucy) | [
"p0",
"p1",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4973891898182134144549644
% SZS output start Proof for 4973891898182134144549644
1. ! [X0] : ((kind(X0) | ~happy(X0)) => (humble(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | strong(X0)) => (~rich(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((generous(X0) | kind(X0)) => (~calm(X0)... | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If fred is either not creative or curious then paul is either not happy or not tall and vice versa.
Everyone who is wise is generous or not wise and vice versa.
If paul is both not curious and funny then someone is both tall and strong and ... | Paul is humble. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((~creative(fred)<~>curious(fred)))<=>((~happy(paul)<~>~tall(paul))))&
(![X]:(wise(X)<=>(generous(X)|~wise(X))))&
(((~curious(paul)&funny(paul)))<=>(?[X]:((tall(X)&strong(X)))))&
((?[X]:((brave(X)&humble(X))))<=>(?[X]:((patient(X)<~>~curious(X)))))&
(![X]:((~rich(... | humble(paul) | [] | null | 0 |
Everyone who is not generous is both not brave and not happy and vice versa. If john is either strong or humble then fred is both not calm and happy and vice versa. If someone is either not curious or rich then someone is not patient or wise and vice versa. Everyone who is either not strong or not creative is either ol... | Alice is strong. | entailment | (![X]:(~generous(X)<=>(~brave(X)&~happy(X))))&
(((strong(john)<~>humble(john)))<=>((~calm(fred)&happy(fred))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(old(X)<~>~strong(X))))&
(![X]:((wise(X)&~old(X))<=>(~old(X)&happy(X))))&
(![X]:(creative(X)<=>(~tall(X... | strong(alice) | [
"p3",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4437113462570413393431790
% SZS output start Proof for 4437113462570413393431790
4. ! [X0] : ((~strong(X0) <~> ~creative(X0)) => (old(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : (creative(X0) <=> (generous(X0) | ~tall(X0))) [input p5]
7. ! [X0] : (~old(X0) => (quiet(X0) & ~patient(X0))) ... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and kind then someone is not old or rich.
If someone is both patient and happy then john is rich.
If mary is funny then someone is not wise or not strong.
Everyone who is curious or not old is brave or not wise.
Ev... | Fred is not kind. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient... | ~kind(fred) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4789141770885143401194
% SZS output start Proof for 4789141770885143401194
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p7]
9. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p8]
13. ! [X0] : ((~... | 0 |
If someone is strong or not old then someone is not old or generous and vice versa.
If susan is either not kind or strong then someone is either not wise or not old and vice versa.
Everyone who is not quiet or not patient is either calm or happy and vice versa.
If someone is either not funny or not rich then alice is b... | Alice is not tall. | contradiction | ((?[X]:((strong(X)|~old(X))))<=>(?[X]:((~old(X)|generous(X)))))&
(((~kind(susan)<~>strong(susan)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((~quiet(X)|~patient(X))<=>(calm(X)<~>happy(X))))&
((?[X]:((~funny(X)<~>~rich(X))))=>((~rich(alice)&tall(alice))))&
(![X]:((~generous(X)|~funny(X))<=>(~brave(X)|~strong(X))))&
((?[X... | ~tall(alice) | [
"p3",
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4388473947957109057745246
% SZS output start Proof for 4388473947957109057745246
4. ? [X0] : (~funny(X0) <~> ~rich(X0)) => (tall(alice) & ~rich(alice)) [input p3]
10. ? [X0] : (old(X0) | patient(X0)) <=> ? [X0] : wise(X0) [input p9]
16. ! [X0] : ((old(X0) & ~wise(X0)) <=> (~rich(X0) <~> f... | 0 |
If susan is both not brave and old then fred is both not old and not patient and vice versa. If someone is not rich or kind then susan is either funny or brave and vice versa. If susan is not curious then someone is happy. If susan is calm or rich then paul is both not quiet and not curious. If alice is not creative th... | Susan is not patient. | contradiction | (((~brave(susan)&old(susan)))<=>((~old(fred)&~patient(fred))))&
((?[X]:((~rich(X)|kind(X))))<=>((funny(susan)<~>brave(susan))))&
((~curious(susan))=>(?[X]:(happy(X))))&
(((calm(susan)|rich(susan)))=>((~quiet(paul)&~curious(paul))))&
((~creative(alice))=>((~rich(alice)<~>kind(alice))))&
(![X]:((creative(X)<~>~brave(X))<... | ~patient(susan) | [
"p1",
"p4",
"p5",
"p6",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4377015256493444818413
% SZS output start Proof for 4377015256493444818413
2. ? [X0] : (kind(X0) | ~rich(X0)) <=> (funny(susan) <~> brave(susan)) [input p1]
5. ~creative(alice) => (~rich(alice) <~> kind(alice)) [input p4]
6. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (curious(X0) | ~pati... | 0 |
If someone is not rich or not tall then john is creative or rich and vice versa.
If someone is patient then paul is both not funny and old and vice versa.
Everyone who is either not tall or brave is rich or not quiet and vice versa.
If someone is both brave and not happy then alice is both not funny and strong and vice... | Mary is not humble. | neutral | ((?[X]:((~rich(X)|~tall(X))))<=>((creative(john)|rich(john))))&
((?[X]:(patient(X)))<=>((~funny(paul)&old(paul))))&
(![X]:((~tall(X)<~>brave(X))<=>(rich(X)|~quiet(X))))&
((?[X]:((brave(X)&~happy(X))))<=>((~funny(alice)&strong(alice))))&
(![X]:(creative(X)=>~happy(X)))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~happy(X)<... | ~humble(mary) | [] | null | 0 |
If susan is rich then fred is kind. If someone is funny or not rich then someone is both not old and calm and vice versa. Everyone who is either old or not strong is either not generous or not brave and vice versa. Everyone who is both not strong and kind is calm. If susan is either not quiet or not brave then someone ... | Lucy is rich. | contradiction | ((rich(susan))=>(kind(fred)))&
((?[X]:((funny(X)|~rich(X))))<=>(?[X]:((~old(X)&calm(X)))))&
(![X]:((old(X)<~>~strong(X))<=>(~generous(X)<~>~brave(X))))&
(![X]:((~strong(X)&kind(X))=>calm(X)))&
(((~quiet(susan)<~>~brave(susan)))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:((~happy(X)|tall(X))<=>(~wise(X)<~>rich(X))))&
(![X]... | rich(lucy) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6302461625014602516539622
% SZS output start Proof for 6302461625014602516539622
9. ! [X0] : ((~brave(X0) | humble(X0)) <=> (~brave(X0) <~> rich(X0))) [input p8]
15. ! [X0] : (humble(X0) => ~rich(X0)) [input p14]
23. rich(lucy) [input hypothesis]
30. ! [X0] : (~rich(X0) | ~humble(X0)) [en... | 0 |
Everyone who is both quiet and tall is not creative or not old and vice versa.
Everyone who is either not wise or quiet is both not funny and brave and vice versa.
Everyone who is not patient is either strong or wise.
Everyone who is both not humble and funny is kind.
Everyone who is happy is not curious.
If mary is ki... | Paul is humble. | neutral | (![X]:((quiet(X)&tall(X))<=>(~creative(X)|~old(X))))&
(![X]:((~wise(X)<~>quiet(X))<=>(~funny(X)&brave(X))))&
(![X]:(~patient(X)=>(strong(X)<~>wise(X))))&
(![X]:((~humble(X)&funny(X))=>kind(X)))&
(![X]:(happy(X)=>~curious(X)))&
(((kind(mary)|wise(mary)))<=>(?[X]:((humble(X)&~patient(X)))))&
(((~tall(paul)|~humble(paul))... | humble(paul) | [] | null | 0 |
Everyone who is either not quiet or not calm is tall or not rich and vice versa.
If mary is humble then susan is generous or creative.
If someone is either patient or quiet then john is not tall or not curious.
If paul is brave then paul is both not wise and not calm and vice versa.
Everyone who is wise is both not wis... | Lucy is rich. | entailment | (![X]:((~quiet(X)<~>~calm(X))<=>(tall(X)|~rich(X))))&
((humble(mary))=>((generous(susan)|creative(susan))))&
((?[X]:((patient(X)<~>quiet(X))))=>((~tall(john)|~curious(john))))&
((brave(paul))<=>((~wise(paul)&~calm(paul))))&
(![X]:(wise(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))=>(?[X]:((wise(X)<~>rich(X)))))&
(![... | rich(lucy) | [
"p0",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6081097255025653341416513
% SZS output start Proof for 6081097255025653341416513
1. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~rich(X0) | tall(X0))) [input p0]
5. ! [X0] : (wise(X0) <=> (~calm(X0) & ~wise(X0))) [input p4]
13. ? [X0] : (~quiet(X0) | curious(X0)) <=> ~calm(lucy) [input p12]... | 0 |
If someone is old then paul is tall or not calm.
If john is quiet or not generous then alice is creative.
If fred is funny or not kind then someone is rich or quiet and vice versa.
Everyone who is tall or not tall is not funny and vice versa.
If someone is not patient then someone is not generous and vice versa.
Everyo... | Mary is kind. | contradiction | ((?[X]:(old(X)))=>((tall(paul)|~calm(paul))))&
(((quiet(john)|~generous(john)))=>(creative(alice)))&
(((funny(fred)|~kind(fred)))<=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:((tall(X)|~tall(X))<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(~generous(X))))&
(![X]:((~kind(X)&~patient(X))<=>(~wise(X)|~happy(X))))&
(((quiet(alic... | kind(mary) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7596001796231753245200291
% SZS output start Proof for 7596001796231753245200291
6. ! [X0] : ((~patient(X0) & ~kind(X0)) <=> (~happy(X0) | ~wise(X0))) [input p5]
12. ! [X0] : ((kind(X0) | ~strong(X0)) <=> ~happy(X0)) [input p11]
24. kind(mary) [input hypothesis]
53. ! [X0] : (((~patient(X... | 0 |
Everyone who is either patient or humble is funny and vice versa.
Everyone who is either not happy or rich is not calm.
If susan is either wise or humble then paul is either old or creative.
If susan is not happy then someone is both rich and kind.
Everyone who is generous or calm is both wise and not kind and vice ver... | Alice is not curious. | contradiction | (![X]:((patient(X)<~>humble(X))<=>funny(X)))&
(![X]:((~happy(X)<~>rich(X))=>~calm(X)))&
(((wise(susan)<~>humble(susan)))=>((old(paul)<~>creative(paul))))&
((~happy(susan))=>(?[X]:((rich(X)&kind(X)))))&
(![X]:((generous(X)|calm(X))<=>(wise(X)&~kind(X))))&
(((~tall(alice)|~funny(alice)))=>((tall(lucy)<~>humble(lucy))))&
... | ~curious(alice) | [
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6952449722196336672995487
% SZS output start Proof for 6952449722196336672995487
5. ! [X0] : ((calm(X0) | generous(X0)) <=> (~kind(X0) & wise(X0))) [input p4]
9. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (kind(X0) | generous(X0))) [input p8]
18. generous(alice) & happy(alice) [input p17]
... | 0 |
Everyone who is either not happy or funny is not strong or tall and vice versa. If someone is either strong or not brave then paul is not generous or not kind and vice versa. Everyone who is not patient or not creative is both generous and not generous. Everyone who is either not creative or not generous is not rich an... | Paul is happy. | contradiction | (![X]:((~happy(X)<~>funny(X))<=>(~strong(X)|tall(X))))&
((?[X]:((strong(X)<~>~brave(X))))<=>((~generous(paul)|~kind(paul))))&
(![X]:((~patient(X)|~creative(X))=>(generous(X)&~generous(X))))&
(![X]:((~creative(X)<~>~generous(X))<=>~rich(X)))&
(![X]:((curious(X)|creative(X))<=>(~curious(X)&wise(X))))&
((?[X]:(quiet(X)))=... | happy(paul) | [
"p0",
"p2",
"p4",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 840360754582325726427425
% SZS output start Proof for 840360754582325726427425
1. ! [X0] : ((~happy(X0) <~> funny(X0)) <=> (tall(X0) | ~strong(X0))) [input p0]
3. ! [X0] : ((~creative(X0) | ~patient(X0)) => (~generous(X0) & generous(X0))) [input p2]
5. ! [X0] : ((creative(X0) | curious(X0... | 0 |
If lucy is quiet then someone is both not tall and not generous.
Everyone who is humble or not funny is both not humble and quiet and vice versa.
Everyone who is either old or not curious is both quiet and not rich.
If mary is either quiet or patient then someone is strong or wise.
Everyone who is humble or curious is ... | Paul is calm. | contradiction | ((quiet(lucy))=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~humble(X)&quiet(X))))&
(![X]:((old(X)<~>~curious(X))=>(quiet(X)&~rich(X))))&
(((quiet(mary)<~>patient(mary)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((humble(X)|curious(X))<=>(strong(X)|~funny(X))))&
(![X]:((old(X)|~brave(X))<=>(funny(X)... | calm(paul) | [
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6395544183463424421374407
% SZS output start Proof for 6395544183463424421374407
6. ! [X0] : ((~brave(X0) | old(X0)) <=> (~kind(X0) & funny(X0))) [input p5]
11. ! [X0] : (~creative(X0) => (kind(X0) & old(X0))) [input p10]
21. ~creative(paul) <~> ~calm(paul) [input p20]
24. calm(paul) [inp... | 0 |
If someone is not patient or not happy then mary is both generous and not funny and vice versa.
If john is not generous or not happy then susan is both quiet and not creative.
If susan is both curious and not old then someone is either not creative or rich and vice versa.
If alice is not kind then someone is not curiou... | Mary is not old. | entailment | ((?[X]:((~patient(X)|~happy(X))))<=>((generous(mary)&~funny(mary))))&
(((~generous(john)|~happy(john)))=>((quiet(susan)&~creative(susan))))&
(((curious(susan)&~old(susan)))<=>(?[X]:((~creative(X)<~>rich(X)))))&
((~kind(alice))=>(?[X]:((~curious(X)|~humble(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(?[X]:((~funny(X)<~>cr... | ~old(mary) | [
"p0",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 109755184163266223865323
% SZS output start Proof for 109755184163266223865323
1. ? [X0] : (~happy(X0) | ~patient(X0)) <=> (~funny(mary) & generous(mary)) [input p0]
7. ! [X0] : ((~kind(X0) | rich(X0)) <=> (~creative(X0) & ~happy(X0))) [input p6]
10. ~rich(paul) => (~patient(paul) <~> ~ki... | 0 |
Everyone who is either not curious or patient is patient and vice versa.
Everyone who is both patient and not funny is both not funny and funny and vice versa.
If someone is brave or happy then lucy is both not old and not generous.
If someone is both humble and brave then alice is not calm.
Everyone who is not quiet o... | Lucy is kind. | contradiction | (![X]:((~curious(X)<~>patient(X))<=>patient(X)))&
(![X]:((patient(X)&~funny(X))<=>(~funny(X)&funny(X))))&
((?[X]:((brave(X)|happy(X))))=>((~old(lucy)&~generous(lucy))))&
((?[X]:((humble(X)&brave(X))))=>(~calm(alice)))&
(![X]:((~quiet(X)|~calm(X))<=>(creative(X)&humble(X))))&
(((brave(alice)&~creative(alice)))=>(~strong... | kind(lucy) | [
"p0",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4864136274877627294975103
% SZS output start Proof for 4864136274877627294975103
1. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> patient(X0)) [input p0]
5. ! [X0] : ((~calm(X0) | ~quiet(X0)) <=> (humble(X0) & creative(X0))) [input p4]
12. ! [X0] : ((funny(X0) | humble(X0)) <=> (kind(X0) <... | 0 |
If alice is curious or not funny then alice is not strong or not tall.
If someone is either not wise or strong then susan is either happy or not kind and vice versa.
Everyone who is not funny or not brave is curious or funny and vice versa.
If mary is either not happy or tall then susan is either happy or kind and vice... | Susan is old. | entailment | (((curious(alice)|~funny(alice)))=>((~strong(alice)|~tall(alice))))&
((?[X]:((~wise(X)<~>strong(X))))<=>((happy(susan)<~>~kind(susan))))&
(![X]:((~funny(X)|~brave(X))<=>(curious(X)|funny(X))))&
(((~happy(mary)<~>tall(mary)))<=>((happy(susan)<~>kind(susan))))&
(((wise(mary)&~old(mary)))<=>(?[X]:((quiet(X)|~quiet(X)))))&... | old(susan) | [
"p4",
"p9",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1009525985350431422321565
% SZS output start Proof for 1009525985350431422321565
5. (~old(mary) & wise(mary)) <=> ? [X0] : (~quiet(X0) | quiet(X0)) [input p4]
10. ? [X0] : (~happy(X0) & ~quiet(X0)) <=> ? [X0] : (wise(X0) | kind(X0)) [input p9]
14. ? [X0] : (~quiet(X0) | ~curious(X0)) <=> ... | 0 |
Everyone who is tall or quiet is both not generous and creative and vice versa.
Everyone who is both not rich and not wise is not calm.
If paul is both not kind and rich then fred is not old or kind and vice versa.
If john is either tall or not happy then susan is generous and vice versa.
Everyone who is not tall is st... | Paul is not wise. | contradiction | (![X]:((tall(X)|quiet(X))<=>(~generous(X)&creative(X))))&
(![X]:((~rich(X)&~wise(X))=>~calm(X)))&
(((~kind(paul)&rich(paul)))<=>((~old(fred)|kind(fred))))&
(((tall(john)<~>~happy(john)))<=>(generous(susan)))&
(![X]:(~tall(X)<=>strong(X)))&
(((kind(john)<~>~creative(john)))=>((~humble(paul)<~>old(paul))))&
(![X]:((creat... | ~wise(paul) | [
"p0",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4392225973434034828673018
% SZS output start Proof for 4392225973434034828673018
1. ! [X0] : ((quiet(X0) | tall(X0)) <=> (creative(X0) & ~generous(X0))) [input p0]
10. ! [X0] : ((~quiet(X0) | creative(X0)) => (~wise(X0) <~> ~tall(X0))) [input p9]
18. ~creative(paul) [input p17]
25. ~wise(... | 0 |
Everyone who is curious is either not old or not funny. If someone is either brave or not calm then someone is not funny or not tall. If fred is funny or not old then someone is kind and vice versa. If someone is both not curious and not humble then paul is both wise and curious. Everyone who is both tall and not gener... | Paul is not funny. | entailment | (![X]:(curious(X)=>(~old(X)<~>~funny(X))))&
((?[X]:((brave(X)<~>~calm(X))))=>(?[X]:((~funny(X)|~tall(X)))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(kind(X))))&
((?[X]:((~curious(X)&~humble(X))))=>((wise(paul)&curious(paul))))&
(![X]:((tall(X)&~generous(X))<=>(rich(X)|tall(X))))&
(![X]:((tall(X)<~>calm(X))<=>curious(X)))&... | ~funny(paul) | [
"p0",
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7319615259156946172509218
% SZS output start Proof for 7319615259156946172509218
1. ! [X0] : (curious(X0) => (~old(X0) <~> ~funny(X0))) [input p0]
10. ! [X0] : ((~creative(X0) & curious(X0)) <=> quiet(X0)) [input p9]
16. ! [X0] : (~quiet(X0) <=> (curious(X0) & patient(X0))) [input p15]
24... | 0 |
Everyone who is either not tall or strong is both strong and not kind and vice versa.
If mary is creative then mary is both brave and strong.
Everyone who is not old or humble is quiet and vice versa.
Everyone who is funny or tall is both not tall and kind.
If someone is both not rich and not wise then alice is curious... | Paul is generous. | neutral | (![X]:((~tall(X)<~>strong(X))<=>(strong(X)&~kind(X))))&
((creative(mary))=>((brave(mary)&strong(mary))))&
(![X]:((~old(X)|humble(X))<=>quiet(X)))&
(![X]:((funny(X)|tall(X))=>(~tall(X)&kind(X))))&
((?[X]:((~rich(X)&~wise(X))))<=>((curious(alice)|~generous(alice))))&
(![X]:((creative(X)&patient(X))=>(patient(X)&~curious(... | generous(paul) | [] | null | 0 |
Everyone who is both not happy and not patient is generous or not curious and vice versa.
Everyone who is both calm and not generous is not funny or creative.
Everyone who is creative or wise is humble or tall and vice versa.
If paul is either not generous or not curious then someone is either curious or not generous.
... | Fred is generous. | neutral | (![X]:((~happy(X)&~patient(X))<=>(generous(X)|~curious(X))))&
(![X]:((calm(X)&~generous(X))=>(~funny(X)|creative(X))))&
(![X]:((creative(X)|wise(X))<=>(humble(X)|tall(X))))&
(((~generous(paul)<~>~curious(paul)))=>(?[X]:((curious(X)<~>~generous(X)))))&
(![X]:((~curious(X)&creative(X))<=>(~patient(X)|calm(X))))&
(((rich(... | generous(fred) | [] | null | 0 |
Everyone who is both not curious and not kind is both creative and brave and vice versa.
Everyone who is humble is not happy.
Everyone who is humble is both old and happy and vice versa.
Everyone who is wise is both not funny and quiet.
Everyone who is curious is funny or not brave and vice versa.
Everyone who is calm ... | Susan is not funny. | entailment | (![X]:((~curious(X)&~kind(X))<=>(creative(X)&brave(X))))&
(![X]:(humble(X)=>~happy(X)))&
(![X]:(humble(X)<=>(old(X)&happy(X))))&
(![X]:(wise(X)=>(~funny(X)&quiet(X))))&
(![X]:(curious(X)<=>(funny(X)|~brave(X))))&
(![X]:(calm(X)=>(calm(X)|~curious(X))))&
(((~tall(lucy)<~>~happy(lucy)))=>(?[X]:((wise(X)<~>~curious(X)))))... | ~funny(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5766562813724298115109430
% SZS output start Proof for 5766562813724298115109430
5. ! [X0] : (curious(X0) <=> (~brave(X0) | funny(X0))) [input p4]
10. ! [X0] : (creative(X0) <=> (creative(X0) <~> curious(X0))) [input p9]
25. funny(susan) [input hypothesis]
44. ! [X0] : ((curious(X0) | (br... | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is not calm is both not calm and kind and vice versa.
If someone is curious or not happy then fred is calm or not generous.
If someone is both not happy and not old then someone is both not creative and not humble.
Everyone who is not ki... | Mary is rich. | entailment | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>(~calm(X)&kind(X))))&
((?[X]:((curious(X)|~happy(X))))=>((calm(fred)|~generous(fred))))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~kind(X)|~calm(X))<=>(~patient(X)&wise(X))))&
(![X]:((~humble(X)|funny(X))<=>(creat... | rich(mary) | [
"p1",
"p6",
"p7",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4754696585032565447554857
% SZS output start Proof for 4754696585032565447554857
2. ! [X0] : (~calm(X0) <=> (kind(X0) & ~calm(X0))) [input p1]
7. ! [X0] : ((~kind(X0) <~> ~humble(X0)) <=> (~calm(X0) & ~brave(X0))) [input p6]
8. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~calm(X0) & brave(X0)... | 0 |
Everyone who is both funny and not brave is not happy or not tall and vice versa.
Everyone who is either calm or creative is both not creative and not strong.
If paul is not creative then someone is either quiet or rich.
If someone is either curious or humble then lucy is not brave or not kind and vice versa.
Everyone ... | Mary is not rich. | entailment | (![X]:((funny(X)&~brave(X))<=>(~happy(X)|~tall(X))))&
(![X]:((calm(X)<~>creative(X))=>(~creative(X)&~strong(X))))&
((~creative(paul))=>(?[X]:((quiet(X)<~>rich(X)))))&
((?[X]:((curious(X)<~>humble(X))))<=>((~brave(lucy)|~kind(lucy))))&
(![X]:((~calm(X)<~>~rich(X))<=>(rich(X)|~strong(X))))&
(((~happy(alice)&~funny(alice)... | ~rich(mary) | [
"p0",
"p9",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3206465314568971219114708
% SZS output start Proof for 3206465314568971219114708
1. ! [X0] : ((~brave(X0) & funny(X0)) <=> (~tall(X0) | ~happy(X0))) [input p0]
10. (~rich(mary) <~> tall(mary)) => ~brave(fred) [input p9]
16. ! [X0] : ((~happy(X0) | ~tall(X0)) => brave(X0)) [input p15]
18. ... | 0 |
Everyone who is brave is curious. Everyone who is funny is quiet or curious. Everyone who is either not happy or not brave is rich and vice versa. Everyone who is quiet or curious is either quiet or generous and vice versa. Everyone who is both not humble and not brave is not kind. Everyone who is calm or not old is ei... | Paul is happy. | entailment | (![X]:(brave(X)=>curious(X)))&
(![X]:(funny(X)=>(quiet(X)|curious(X))))&
(![X]:((~happy(X)<~>~brave(X))<=>rich(X)))&
(![X]:((quiet(X)|curious(X))<=>(quiet(X)<~>generous(X))))&
(![X]:((~humble(X)&~brave(X))=>~kind(X)))&
(![X]:((calm(X)|~old(X))<=>(funny(X)<~>tall(X))))&
(![X]:((~patient(X)|~brave(X))=>(~wise(X)|rich(X))... | happy(paul) | [
"p0",
"p2",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5984655545808005752724786
% SZS output start Proof for 5984655545808005752724786
1. ! [X0] : (brave(X0) => curious(X0)) [input p0]
3. ! [X0] : ((~happy(X0) <~> ~brave(X0)) <=> rich(X0)) [input p2]
12. ! [X0] : ((~old(X0) <~> ~happy(X0)) => (creative(X0) & happy(X0))) [input p11]
15. ! [X0... | 0 |
Everyone who is quiet or not patient is wise or not humble and vice versa. If susan is either not generous or kind then someone is either humble or not tall. Everyone who is either brave or not tall is either not quiet or not patient. Everyone who is not happy or happy is either not tall or creative. Everyone who is ei... | Alice is not patient. | neutral | (![X]:((quiet(X)|~patient(X))<=>(wise(X)|~humble(X))))&
(((~generous(susan)<~>kind(susan)))=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:((brave(X)<~>~tall(X))=>(~quiet(X)<~>~patient(X))))&
(![X]:((~happy(X)|happy(X))=>(~tall(X)<~>creative(X))))&
(![X]:((tall(X)<~>humble(X))<=>curious(X)))&
(((~rich(mary)&brave(mary)))=>((... | ~patient(alice) | [] | null | 0 |
Everyone who is either curious or happy is not old or wise.
If paul is tall then someone is either not generous or not curious.
Everyone who is curious is both not old and not curious.
If someone is both not funny and not happy then susan is not happy or kind and vice versa.
Everyone who is not brave is either not stro... | Lucy is not humble. | entailment | (![X]:((curious(X)<~>happy(X))=>(~old(X)|wise(X))))&
((tall(paul))=>(?[X]:((~generous(X)<~>~curious(X)))))&
(![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)... | ~humble(lucy) | [
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7028722049304775590246455
% SZS output start Proof for 7028722049304775590246455
3. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p2]
10. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p9]
12. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~generous(X0) | kind(X0))... | 0 |
Everyone who is either not calm or not quiet is both not happy and not calm and vice versa.
If someone is both strong and funny then susan is tall or not wise and vice versa.
If someone is not funny then someone is both not tall and not humble.
If alice is both strong and not strong then someone is not curious or not c... | Alice is humble. | contradiction | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&~calm(X))))&
((?[X]:((strong(X)&funny(X))))<=>((tall(susan)|~wise(susan))))&
((?[X]:(~funny(X)))=>(?[X]:((~tall(X)&~humble(X)))))&
(((strong(alice)&~strong(alice)))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((~creative(X)&tall(X))=>~tall(X)))&
(((humble(susan)&generous(susan))... | humble(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8644610290269580662834004
% SZS output start Proof for 8644610290269580662834004
16. ! [X0] : ((~humble(X0) <~> humble(X0)) => ~humble(X0)) [input p15]
24. humble(alice) [input hypothesis]
39. ! [X0] : (~humble(X0) | (~humble(X0) <=> humble(X0))) [ennf transformation 16]
65. ! [X0] : (~hu... | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is both rich and not patient and vice versa.
Everyone who is either not funny or not old is both generous and not brave and vice versa.
If john is not funny or not wise then mary is either not brave or not happy and vice ve... | Mary is not wise. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((~funny(X)<~>~old(X))<=>(generous(X)&~brave(X))))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)... | ~wise(mary) | [] | null | 0 |
Everyone who is not creative is both not calm and not quiet.
Everyone who is brave or funny is not funny and vice versa.
Everyone who is curious is both not funny and calm and vice versa.
If someone is either tall or kind then lucy is rich and vice versa.
If fred is either not rich or not humble then fred is not strong... | Fred is not creative. | neutral | (![X]:(~creative(X)=>(~calm(X)&~quiet(X))))&
(![X]:((brave(X)|funny(X))<=>~funny(X)))&
(![X]:(curious(X)<=>(~funny(X)&calm(X))))&
((?[X]:((tall(X)<~>kind(X))))<=>(rich(lucy)))&
(((~rich(fred)<~>~humble(fred)))<=>((~strong(fred)|curious(fred))))&
((?[X]:((~quiet(X)<~>happy(X))))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((... | ~creative(fred) | [] | null | 0 |
Everyone who is humble is either not brave or humble and vice versa.
Everyone who is kind or patient is either not curious or not generous and vice versa.
If alice is not brave then someone is generous and vice versa.
Everyone who is kind is wise or not tall.
Everyone who is not tall or not funny is either not strong o... | Mary is old. | neutral | (![X]:(humble(X)<=>(~brave(X)<~>humble(X))))&
(![X]:((kind(X)|patient(X))<=>(~curious(X)<~>~generous(X))))&
((~brave(alice))<=>(?[X]:(generous(X))))&
(![X]:(kind(X)=>(wise(X)|~tall(X))))&
(![X]:((~tall(X)|~funny(X))<=>(~strong(X)<~>~quiet(X))))&
((?[X]:(~generous(X)))<=>((~happy(fred)|calm(fred))))&
(((~calm(paul)|funn... | old(mary) | [] | null | 0 |
Everyone who is either strong or calm is quiet and vice versa.
If someone is kind or not happy then someone is not kind and vice versa.
Everyone who is not humble is both old and not curious.
Everyone who is generous is both not curious and not kind.
Everyone who is tall or strong is both generous and not patient.
If j... | Mary is not wise. | entailment | (![X]:((strong(X)<~>calm(X))<=>quiet(X)))&
((?[X]:((kind(X)|~happy(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(generous(X)=>(~curious(X)&~kind(X))))&
(![X]:((tall(X)|strong(X))=>(generous(X)&~patient(X))))&
(((~creative(john)<~>~tall(john)))<=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:(... | ~wise(mary) | [
"p0",
"p4",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5111055761599818401379269
% SZS output start Proof for 5111055761599818401379269
1. ! [X0] : ((strong(X0) <~> calm(X0)) <=> quiet(X0)) [input p0]
5. ! [X0] : ((strong(X0) | tall(X0)) => (~patient(X0) & generous(X0))) [input p4]
9. ? [X0] : wise(X0) => (quiet(susan) & rich(susan)) [input p... | 0 |
Everyone who is quiet or not happy is not creative or creative.
If someone is old then john is not wise and vice versa.
If someone is not strong then someone is either calm or old.
Everyone who is either not tall or not creative is either brave or generous.
Everyone who is brave is not strong.
If mary is both not wise ... | John is not wise. | neutral | (![X]:((quiet(X)|~happy(X))=>(~creative(X)|creative(X))))&
((?[X]:(old(X)))<=>(~wise(john)))&
((?[X]:(~strong(X)))=>(?[X]:((calm(X)<~>old(X)))))&
(![X]:((~tall(X)<~>~creative(X))=>(brave(X)<~>generous(X))))&
(![X]:(brave(X)=>~strong(X)))&
(((~wise(mary)&~generous(mary)))=>((rich(fred)|quiet(fred))))&
(![X]:((~wise(X)|w... | ~wise(john) | [] | null | 0 |
If mary is not funny then someone is not rich or not strong and vice versa. Everyone who is quiet or generous is both not wise and generous. Everyone who is funny or not quiet is either wise or not old and vice versa. If someone is generous or not tall then lucy is not quiet. Everyone who is not brave is both not funny... | Lucy is not curious. | entailment | ((~funny(mary))<=>(?[X]:((~rich(X)|~strong(X)))))&
(![X]:((quiet(X)|generous(X))=>(~wise(X)&generous(X))))&
(![X]:((funny(X)|~quiet(X))<=>(wise(X)<~>~old(X))))&
((?[X]:((generous(X)|~tall(X))))=>(~quiet(lucy)))&
(![X]:(~brave(X)<=>(~funny(X)&~generous(X))))&
(![X]:(creative(X)<=>(~curious(X)&curious(X))))&
((?[X]:(tall... | ~curious(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 298742110444749344977159
% SZS output start Proof for 298742110444749344977159
2. ! [X0] : ((generous(X0) | quiet(X0)) => (generous(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (wise(X0) <~> ~old(X0))) [input p2]
4. ? [X0] : (~tall(X0) | generous(X0)) => ~quiet(l... | 0 |
Everyone who is both not old and not patient is generous.
If lucy is rich or quiet then someone is not brave and vice versa.
Everyone who is either tall or not happy is quiet or not humble and vice versa.
If susan is either funny or not wise then someone is either not funny or not calm.
Everyone who is not happy is hum... | Susan is curious. | neutral | (![X]:((~old(X)&~patient(X))=>generous(X)))&
(((rich(lucy)|quiet(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((tall(X)<~>~happy(X))<=>(quiet(X)|~humble(X))))&
(((funny(susan)<~>~wise(susan)))=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:(~happy(X)<=>humble(X)))&
(((wise(susan)|~rich(susan)))=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]... | curious(susan) | [] | null | 0 |
Everyone who is tall is not generous. Everyone who is either not patient or not creative is either funny or not funny and vice versa. Everyone who is tall or strong is either humble or not humble. Everyone who is old is old or not old. If someone is not calm then someone is not rich and vice versa. Everyone who is not ... | Susan is strong. | entailment | (![X]:(tall(X)=>~generous(X)))&
(![X]:((~patient(X)<~>~creative(X))<=>(funny(X)<~>~funny(X))))&
(![X]:((tall(X)|strong(X))=>(humble(X)<~>~humble(X))))&
(![X]:(old(X)=>(old(X)|~old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(![X]:((calm(X)<~>strong(X))<=>(~old(X)&old(X)))... | strong(susan) | [
"p5",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5267513309617800796618956
% SZS output start Proof for 5267513309617800796618956
6. ! [X0] : (~strong(X0) <=> (~rich(X0) & ~happy(X0))) [input p5]
8. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (~happy(X0) | brave(X0))) [input p7]
23. rich(susan) | ~brave(susan) [input p22]
25. ~strong(susan) ... | 0 |
Everyone who is both wise and not calm is quiet. Everyone who is not patient or not generous is happy or humble. If someone is brave or humble then mary is not generous. Everyone who is funny is not quiet and vice versa. If lucy is generous then someone is either not old or tall and vice versa. If paul is kind or stron... | Lucy is funny. | neutral | (![X]:((wise(X)&~calm(X))=>quiet(X)))&
(![X]:((~patient(X)|~generous(X))=>(happy(X)|humble(X))))&
((?[X]:((brave(X)|humble(X))))=>(~generous(mary)))&
(![X]:(funny(X)<=>~quiet(X)))&
((generous(lucy))<=>(?[X]:((~old(X)<~>tall(X)))))&
(((kind(paul)|strong(paul)))<=>((~creative(lucy)<~>funny(lucy))))&
(((~funny(john)<~>str... | funny(lucy) | [] | null | 0 |
Everyone who is either curious or kind is not curious.
Everyone who is creative or old is not calm and vice versa.
Everyone who is not creative is not tall or funny and vice versa.
Everyone who is either not humble or not kind is not patient.
If someone is not happy then mary is not happy or not wise.
If someone is bot... | Susan is not wise. | neutral | (![X]:((curious(X)<~>kind(X))=>~curious(X)))&
(![X]:((creative(X)|old(X))<=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)|funny(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~patient(X)))&
((?[X]:(~happy(X)))=>((~happy(mary)|~wise(mary))))&
((?[X]:((curious(X)&~rich(X))))=>((funny(susan)<~>~kind(susan))))&
((?[X]:((~curious(X)|... | ~wise(susan) | [] | null | 0 |
Everyone who is not happy or calm is either not wise or brave.
Everyone who is both not quiet and funny is curious.
Everyone who is strong is humble and vice versa.
If alice is quiet or generous then lucy is both rich and wise.
Everyone who is both not kind and happy is both not old and not brave and vice versa.
If pau... | Alice is happy. | entailment | (![X]:((~happy(X)|calm(X))=>(~wise(X)<~>brave(X))))&
(![X]:((~quiet(X)&funny(X))=>curious(X)))&
(![X]:(strong(X)<=>humble(X)))&
(((quiet(alice)|generous(alice)))=>((rich(lucy)&wise(lucy))))&
(![X]:((~kind(X)&happy(X))<=>(~old(X)&~brave(X))))&
((~tall(paul))=>((kind(fred)<~>~calm(fred))))&
(![X]:((~humble(X)<~>~happy(X)... | happy(alice) | [
"p2",
"p4",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2885971996453976070593860
% SZS output start Proof for 2885971996453976070593860
3. ! [X0] : (strong(X0) <=> humble(X0)) [input p2]
5. ! [X0] : ((happy(X0) & ~kind(X0)) <=> (~brave(X0) & ~old(X0))) [input p4]
8. ! [X0] : (strong(X0) <=> (~funny(X0) & ~old(X0))) [input p7]
9. ? [X0] : (qui... | 0 |
Everyone who is both kind and not old is old or not brave and vice versa.
If someone is both generous and not old then someone is wise.
If someone is both not creative and not happy then someone is both rich and funny.
If john is not generous or creative then john is both not wise and not curious.
If susan is both not ... | Fred is not kind. | entailment | (![X]:((kind(X)&~old(X))<=>(old(X)|~brave(X))))&
((?[X]:((generous(X)&~old(X))))=>(?[X]:(wise(X))))&
((?[X]:((~creative(X)&~happy(X))))=>(?[X]:((rich(X)&funny(X)))))&
(((~generous(john)|creative(john)))=>((~wise(john)&~curious(john))))&
(((~calm(susan)&~old(susan)))<=>(?[X]:((curious(X)|~patient(X)))))&
(![X]:((creativ... | ~kind(fred) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3703578702084046486601784
% SZS output start Proof for 3703578702084046486601784
6. ! [X0] : ((~curious(X0) & creative(X0)) <=> (~strong(X0) | strong(X0))) [input p5]
12. ? [X0] : (kind(X0) & ~curious(X0)) => (~creative(lucy) & humble(lucy)) [input p11]
23. kind(fred) [input hypothesis]
3... | 0 |
If someone is curious or not old then susan is brave or old.
Everyone who is either not funny or old is not generous or not patient and vice versa.
Everyone who is either curious or not tall is tall or not brave and vice versa.
If fred is either not strong or generous then someone is both not brave and not patient and ... | Fred is strong. | neutral | ((?[X]:((curious(X)|~old(X))))=>((brave(susan)|old(susan))))&
(![X]:((~funny(X)<~>old(X))<=>(~generous(X)|~patient(X))))&
(![X]:((curious(X)<~>~tall(X))<=>(tall(X)|~brave(X))))&
(((~strong(fred)<~>generous(fred)))<=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:((~tall(X)&~patient(X))=>rich(X)))&
((?[X]:((rich(X)&tall(X))))... | strong(fred) | [] | null | 0 |
Everyone who is either humble or not strong is both not humble and funny and vice versa. Everyone who is both wise and not tall is not old or not generous. Everyone who is either not creative or humble is generous or not strong and vice versa. If john is either calm or not strong then someone is either wise or old. If ... | John is not tall. | neutral | (![X]:((humble(X)<~>~strong(X))<=>(~humble(X)&funny(X))))&
(![X]:((wise(X)&~tall(X))=>(~old(X)|~generous(X))))&
(![X]:((~creative(X)<~>humble(X))<=>(generous(X)|~strong(X))))&
(((calm(john)<~>~strong(john)))=>(?[X]:((wise(X)<~>old(X)))))&
((?[X]:((~strong(X)|~curious(X))))=>(~strong(mary)))&
((?[X]:((~happy(X)&~old(X))... | ~tall(john) | [] | null | 0 |
If someone is both patient and not creative then someone is either not kind or not old.
If fred is not rich or kind then someone is either not old or not generous and vice versa.
Everyone who is both strong and wise is either not creative or calm and vice versa.
Everyone who is strong is old or not tall and vice versa.... | Paul is kind. | neutral | ((?[X]:((patient(X)&~creative(X))))=>(?[X]:((~kind(X)<~>~old(X)))))&
(((~rich(fred)|kind(fred)))<=>(?[X]:((~old(X)<~>~generous(X)))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>calm(X))))&
(![X]:(strong(X)<=>(old(X)|~tall(X))))&
(![X]:(calm(X)<=>(kind(X)|happy(X))))&
(![X]:((~patient(X)&~humble(X))=>(~generous(X)<~>... | kind(paul) | [] | null | 0 |
Everyone who is either happy or not patient is not patient or not rich and vice versa.
If someone is happy then mary is both not kind and not brave and vice versa.
If john is not rich then someone is not humble or not strong.
Everyone who is happy is not strong or not humble and vice versa.
If someone is both not calm ... | Mary is generous. | neutral | (![X]:((happy(X)<~>~patient(X))<=>(~patient(X)|~rich(X))))&
((?[X]:(happy(X)))<=>((~kind(mary)&~brave(mary))))&
((~rich(john))=>(?[X]:((~humble(X)|~strong(X)))))&
(![X]:(happy(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>((~brave(susan)&curious(susan))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~gen... | generous(mary) | [] | null | 0 |
Everyone who is old is either happy or creative.
Everyone who is either not old or not strong is generous or not happy and vice versa.
Everyone who is either not generous or generous is both curious and not calm and vice versa.
Everyone who is not patient is either creative or not strong and vice versa.
If lucy is eith... | Susan is patient. | contradiction | (![X]:(old(X)=>(happy(X)<~>creative(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(generous(X)|~happy(X))))&
(![X]:((~generous(X)<~>generous(X))<=>(curious(X)&~calm(X))))&
(![X]:(~patient(X)<=>(creative(X)<~>~strong(X))))&
(((~curious(lucy)<~>kind(lucy)))<=>(?[X]:(~wise(X))))&
((?[X]:((tall(X)&~old(X))))<=>((~kind(mary)<~>~qu... | patient(susan) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4897335620918438160977208
% SZS output start Proof for 4897335620918438160977208
1. ! [X0] : (old(X0) => (happy(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~happy(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~calm(X0... | 0 |
If someone is either humble or not kind then someone is both tall and not creative.
If mary is not curious then someone is not wise or generous and vice versa.
Everyone who is either wise or patient is both not old and happy and vice versa.
Everyone who is not kind is not creative or not quiet and vice versa.
If someon... | Paul is not strong. | entailment | ((?[X]:((humble(X)<~>~kind(X))))=>(?[X]:((tall(X)&~creative(X)))))&
((~curious(mary))<=>(?[X]:((~wise(X)|generous(X)))))&
(![X]:((wise(X)<~>patient(X))<=>(~old(X)&happy(X))))&
(![X]:(~kind(X)<=>(~creative(X)|~quiet(X))))&
((?[X]:(calm(X)))=>(?[X]:((~creative(X)&quiet(X)))))&
(![X]:((calm(X)|~happy(X))=>(humble(X)&~quie... | ~strong(paul) | [
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5880292715989504763341253
% SZS output start Proof for 5880292715989504763341253
8. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (tall(X0) | brave(X0))) [input p7]
9. ! [X0] : ((~strong(X0) | funny(X0)) <=> (~funny(X0) | wise(X0))) [input p8]
11. ! [X0] : ((~generous(X0) & wise(X0)) <=> tall(X0... | 0 |
Everyone who is strong is both curious and not quiet and vice versa.
If someone is old or not old then someone is quiet and vice versa.
Everyone who is not funny or not rich is both humble and not curious and vice versa.
If someone is not creative or strong then mary is not strong or not funny and vice versa.
Everyone ... | Mary is not quiet. | contradiction | (![X]:(strong(X)<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(humble(X)&~curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>((~strong(mary)|~funny(mary))))&
(![X]:((happy(X)<~>wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>~funny(X... | ~quiet(mary) | [
"p0",
"p2",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2620119230392294569302021
% SZS output start Proof for 2620119230392294569302021
1. ! [X0] : (strong(X0) <=> (~quiet(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) & humble(X0))) [input p2]
4. ? [X0] : (strong(X0) | ~creative(X0)) <=> (~funny(mary) ... | 0 |
If john is not funny then someone is curious or not tall and vice versa. Everyone who is curious or happy is calm and vice versa. If someone is both creative and tall then someone is either not generous or kind. If someone is not patient or not quiet then lucy is not tall and vice versa. Everyone who is creative or hap... | Fred is calm. | neutral | ((~funny(john))<=>(?[X]:((curious(X)|~tall(X)))))&
(![X]:((curious(X)|happy(X))<=>calm(X)))&
((?[X]:((creative(X)&tall(X))))=>(?[X]:((~generous(X)<~>kind(X)))))&
((?[X]:((~patient(X)|~quiet(X))))<=>(~tall(lucy)))&
(![X]:((creative(X)|happy(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~wise(X)&~generous(X))<=>(~strong(X)<~>~pa... | calm(fred) | [] | null | 0 |
Everyone who is either humble or old is either wise or strong.
Everyone who is not kind is both generous and not old and vice versa.
Everyone who is both not calm and old is brave or not kind and vice versa.
If john is both wise and curious then someone is both kind and funny and vice versa.
Everyone who is generous or... | Susan is not brave. | neutral | (![X]:((humble(X)<~>old(X))=>(wise(X)<~>strong(X))))&
(![X]:(~kind(X)<=>(generous(X)&~old(X))))&
(![X]:((~calm(X)&old(X))<=>(brave(X)|~kind(X))))&
(((wise(john)&curious(john)))<=>(?[X]:((kind(X)&funny(X)))))&
(![X]:((generous(X)|~curious(X))<=>happy(X)))&
(![X]:(~old(X)<=>(~tall(X)|patient(X))))&
((generous(mary))<=>((... | ~brave(susan) | [] | null | 0 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is either patient or rich is not happy or kind.
Everyone who is both not wise and not brave is happy and vice versa.
Everyone who is both not kind and rich is humble.
Everyone who is generous is wise.
Everyone who is both quiet ... | Mary is not generous. | contradiction | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~wise(X)&~brave(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|strong(X))))&
(![X]:((kind(X)|tall(X))=>(strong(X)&generous... | ~generous(mary) | [
"p0",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2979852507860931117222780
% SZS output start Proof for 2979852507860931117222780
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~funny(X0) & kind(X0))) [input p0]
6. ! [X0] : ((humble(X0) & quiet(X0)) <=> (strong(X0) | quiet(X0))) [input p5]
7. ! [X0] : ((tall(X0) | kind(X0)) => (generous(X0... | 0 |
Everyone who is kind is either wise or funny and vice versa.
If fred is rich then paul is patient or humble.
Everyone who is not creative is not kind or rich and vice versa.
Everyone who is either not curious or rich is not funny or not tall.
Everyone who is generous or not tall is both not creative and not calm and vi... | John is not old. | contradiction | (![X]:(kind(X)<=>(wise(X)<~>funny(X))))&
((rich(fred))=>((patient(paul)|humble(paul))))&
(![X]:(~creative(X)<=>(~kind(X)|rich(X))))&
(![X]:((~curious(X)<~>rich(X))=>(~funny(X)|~tall(X))))&
(![X]:((generous(X)|~tall(X))<=>(~creative(X)&~calm(X))))&
(((happy(lucy)&rich(lucy)))<=>((~generous(fred)&old(fred))))&
(((~quiet(... | ~old(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1655612903541061108822572
% SZS output start Proof for 1655612903541061108822572
9. ? [X0] : (~old(X0) | ~calm(X0)) <=> ? [X0] : (kind(X0) & ~kind(X0)) [input p8]
25. ~old(john) [input hypothesis]
26. ? [X0] : (~old(X0) | ~calm(X0)) <=> ? [X1] : (kind(X1) & ~kind(X1)) [rectify 9]
46. (? [... | 0 |
Everyone who is either not brave or not curious is quiet.
If someone is either rich or generous then lucy is wise or not calm.
If susan is tall then alice is old.
If someone is not tall or rich then someone is both not creative and not wise and vice versa.
If someone is both humble and not wise then john is rich or not... | Alice is quiet. | entailment | (![X]:((~brave(X)<~>~curious(X))=>quiet(X)))&
((?[X]:((rich(X)<~>generous(X))))=>((wise(lucy)|~calm(lucy))))&
((tall(susan))=>(old(alice)))&
((?[X]:((~tall(X)|rich(X))))<=>(?[X]:((~creative(X)&~wise(X)))))&
((?[X]:((humble(X)&~wise(X))))=>((rich(john)|~rich(john))))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&strong(X)))... | quiet(alice) | [
"p0",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 936238195744222037188975
% SZS output start Proof for 936238195744222037188975
1. ! [X0] : ((~brave(X0) <~> ~curious(X0)) => quiet(X0)) [input p0]
14. ! [X0] : ((~curious(X0) | strong(X0)) <=> (~quiet(X0) <~> ~brave(X0))) [input p13]
23. ~rich(alice) & ~brave(alice) [input p22]
25. ~quiet... | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Susan is tall. | contradiction | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | tall(susan) | [
"p1",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7584510707264009406298997
% SZS output start Proof for 7584510707264009406298997
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
7. ! [X0] : ((~kind(X0) | ~curious(X0)) => (~funny(X0) & ~rich(X0))) [input p6]
11. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~wis... | 0 |
Everyone who is either strong or funny is quiet or old and vice versa.
If someone is both creative and not calm then someone is not strong.
If alice is either not humble or not happy then lucy is strong and vice versa.
Everyone who is kind or happy is brave or not happy.
If someone is both not curious and not generous ... | Fred is kind. | contradiction | (![X]:((strong(X)<~>funny(X))<=>(quiet(X)|old(X))))&
((?[X]:((creative(X)&~calm(X))))=>(?[X]:(~strong(X))))&
(((~humble(alice)<~>~happy(alice)))<=>(strong(lucy)))&
(![X]:((kind(X)|happy(X))=>(brave(X)|~happy(X))))&
((?[X]:((~curious(X)&~generous(X))))=>(humble(fred)))&
(![X]:(happy(X)=>(~quiet(X)&old(X))))&
((funny(luc... | kind(fred) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 541859979647609972210055
% SZS output start Proof for 541859979647609972210055
14. ! [X0] : ((patient(X0) | kind(X0)) <=> (tall(X0) <~> ~creative(X0))) [input p13]
15. ! [X0] : (~tall(X0) <=> creative(X0)) [input p14]
24. kind(fred) [input hypothesis]
66. ! [X0] : (((patient(X0) | kind(X0... | 0 |
If paul is not rich then someone is brave or not brave and vice versa.
Everyone who is not curious is either creative or not brave and vice versa.
Everyone who is not quiet or not funny is both brave and strong and vice versa.
Everyone who is funny is both not humble and not kind.
Everyone who is either not humble or n... | Lucy is not wise. | neutral | ((~rich(paul))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:(~curious(X)<=>(creative(X)<~>~brave(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(brave(X)&strong(X))))&
(![X]:(funny(X)=>(~humble(X)&~kind(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>~patient(X)))&
((?[X]:(tall(X)))=>(?[X]:(calm(X))))&
((?[X]:((~curious(X)&rich(X))))=>(~ri... | ~wise(lucy) | [] | null | 0 |
If mary is not humble or not calm then john is rich. If someone is both happy and not patient then someone is not calm or not funny and vice versa. Everyone who is either wise or happy is both not curious and creative. Everyone who is either humble or creative is both not patient and wise and vice versa. If someone is ... | Alice is not funny. | contradiction | (((~humble(mary)|~calm(mary)))=>(rich(john)))&
((?[X]:((happy(X)&~patient(X))))<=>(?[X]:((~calm(X)|~funny(X)))))&
(![X]:((wise(X)<~>happy(X))=>(~curious(X)&creative(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~patient(X)&wise(X))))&
((?[X]:((~patient(X)&~old(X))))=>(~wise(fred)))&
((?[X]:(~strong(X)))<=>(?[X]:((~calm(X)... | ~funny(alice) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1302340088845153168583404
% SZS output start Proof for 1302340088845153168583404
12. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (~funny(X0) & humble(X0))) [input p11]
13. ! [X0] : ((~old(X0) | happy(X0)) <=> (strong(X0) & funny(X0))) [input p12]
25. ~funny(alice) [input hypothesis]
60. ! [X... | 0 |
If john is either not calm or creative then someone is either creative or strong. If someone is both not calm and funny then john is curious. Everyone who is not tall or wise is not kind or not old. If someone is not humble then alice is not wise or not humble. Everyone who is not kind or not creative is either creativ... | Alice is not wise. | neutral | (((~calm(john)<~>creative(john)))=>(?[X]:((creative(X)<~>strong(X)))))&
((?[X]:((~calm(X)&funny(X))))=>(curious(john)))&
(![X]:((~tall(X)|wise(X))=>(~kind(X)|~old(X))))&
((?[X]:(~humble(X)))=>((~wise(alice)|~humble(alice))))&
(![X]:((~kind(X)|~creative(X))=>(creative(X)<~>calm(X))))&
(![X]:((tall(X)&curious(X))=>(~wise... | ~wise(alice) | [] | null | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is patient. | entailment | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | patient(mary) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 316179377739387548527964
% SZS output start Proof for 316179377739387548527964
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (old(X0) | funny(X0))) [input p3]
10. ! [X0] : (tall(X0) => (patient(X0) | ~kind(X0))) ... | 0 |
If john is not wise then someone is not calm and vice versa. If someone is old or not brave then someone is not quiet or tall and vice versa. If fred is calm then someone is both creative and funny. Everyone who is either old or curious is both not calm and quiet and vice versa. Everyone who is either not generous or n... | John is not patient. | neutral | ((~wise(john))<=>(?[X]:(~calm(X))))&
((?[X]:((old(X)|~brave(X))))<=>(?[X]:((~quiet(X)|tall(X)))))&
((calm(fred))=>(?[X]:((creative(X)&funny(X)))))&
(![X]:((old(X)<~>curious(X))<=>(~calm(X)&quiet(X))))&
(![X]:((~generous(X)<~>~tall(X))=>(generous(X)&~rich(X))))&
(![X]:((~calm(X)|strong(X))<=>(~happy(X)<~>~creative(X))))... | ~patient(john) | [] | null | 0 |
Everyone who is both not generous and not curious is brave. If someone is both rich and happy then fred is both not quiet and calm and vice versa. Everyone who is both not humble and creative is funny. If lucy is strong or not kind then paul is strong or curious and vice versa. Everyone who is tall or not strong is bot... | Fred is old. | entailment | (![X]:((~generous(X)&~curious(X))=>brave(X)))&
((?[X]:((rich(X)&happy(X))))<=>((~quiet(fred)&calm(fred))))&
(![X]:((~humble(X)&creative(X))=>funny(X)))&
(((strong(lucy)|~kind(lucy)))<=>((strong(paul)|curious(paul))))&
(![X]:((tall(X)|~strong(X))=>(curious(X)&~kind(X))))&
(![X]:((~strong(X)<~>~humble(X))=>~funny(X)))&
(... | old(fred) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 306228787710834136353965
% SZS output start Proof for 306228787710834136353965
2. ? [X0] : (happy(X0) & rich(X0)) <=> (calm(fred) & ~quiet(fred)) [input p1]
5. ! [X0] : ((~strong(X0) | tall(X0)) => (~kind(X0) & curious(X0))) [input p4]
9. ! [X0] : ((~patient(X0) | brave(X0)) <=> (kind(X0)... | 0 |
Everyone who is both not patient and funny is both funny and not humble. If mary is not tall or not quiet then susan is not old and vice versa. If someone is either not quiet or not generous then mary is either wise or kind. If paul is not humble then someone is both not brave and not patient. If someone is both brave ... | John is quiet. | entailment | (![X]:((~patient(X)&funny(X))=>(funny(X)&~humble(X))))&
(((~tall(mary)|~quiet(mary)))<=>(~old(susan)))&
((?[X]:((~quiet(X)<~>~generous(X))))=>((wise(mary)<~>kind(mary))))&
((~humble(paul))=>(?[X]:((~brave(X)&~patient(X)))))&
((?[X]:((brave(X)&~kind(X))))<=>(?[X]:((calm(X)&wise(X)))))&
(![X]:((~quiet(X)&~creative(X))=>(... | quiet(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6587719816398368951178692
% SZS output start Proof for 6587719816398368951178692
16. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X0] : (humble(X0) | ~quiet(X0)) [input p15]
25. ~quiet(john) [input hypothesis]
27. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X1] : (humble(X1) | ~quiet(X1)... | 0 |
Everyone who is both rich and kind is generous. If someone is both happy and humble then someone is both rich and not patient and vice versa. Everyone who is either wise or kind is generous or not old and vice versa. Everyone who is calm is curious. If john is not funny or not wise then mary is either not brave or not ... | John is kind. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((wise(X)<~>kind(X))<=>(generous(X)|~old(X))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:... | kind(john) | [] | null | 0 |
Everyone who is old is either not tall or not funny.
Everyone who is not creative or not funny is both kind and strong.
If someone is wise or curious then someone is strong and vice versa.
Everyone who is creative or not wise is both rich and not wise and vice versa.
Everyone who is either not strong or not generous is... | Alice is not old. | entailment | (![X]:(old(X)=>(~tall(X)<~>~funny(X))))&
(![X]:((~creative(X)|~funny(X))=>(kind(X)&strong(X))))&
((?[X]:((wise(X)|curious(X))))<=>(?[X]:(strong(X))))&
(![X]:((creative(X)|~wise(X))<=>(rich(X)&~wise(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(~tall(X)<~>~generous(X))))&
((?[X]:((~calm(X)|~funny(X))))=>((tall(alice)<~>st... | ~old(alice) | [
"p0",
"p1",
"p5",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6689873944185285885528438
% SZS output start Proof for 6689873944185285885528438
1. ! [X0] : (old(X0) => (~tall(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | ~creative(X0)) => (strong(X0) & kind(X0))) [input p1]
6. ? [X0] : (~funny(X0) | ~calm(X0)) => (tall(alice) <~> strong(... | 0 |
If john is either rich or not patient then paul is either generous or calm and vice versa. If paul is both not old and humble then someone is both kind and brave and vice versa. Everyone who is both not brave and not tall is not curious. Everyone who is happy is both strong and not tall and vice versa. Everyone who is ... | Mary is generous. | neutral | (((rich(john)<~>~patient(john)))<=>((generous(paul)<~>calm(paul))))&
(((~old(paul)&humble(paul)))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:((~brave(X)&~tall(X))=>~curious(X)))&
(![X]:(happy(X)<=>(strong(X)&~tall(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)<~>creative(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>calm(X)))&
((?... | generous(mary) | [] | null | 0 |
If someone is both curious and strong then someone is not brave or patient and vice versa. If someone is not patient or strong then someone is either not wise or not generous. Everyone who is either not wise or not old is either calm or not happy and vice versa. If susan is not curious then paul is both not curious and... | Alice is not generous. | neutral | ((?[X]:((curious(X)&strong(X))))<=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:((~patient(X)|strong(X))))=>(?[X]:((~wise(X)<~>~generous(X)))))&
(![X]:((~wise(X)<~>~old(X))<=>(calm(X)<~>~happy(X))))&
((~curious(susan))=>((~curious(paul)&rich(paul))))&
(((~rich(susan)<~>~strong(susan)))=>(?[X]:((~happy(X)&quiet(X)))))&
((?[... | ~generous(alice) | [] | null | 0 |
If someone is kind or not rich then lucy is funny or not wise.
If someone is funny or not funny then someone is not tall or not brave.
Everyone who is not tall or generous is both not humble and kind and vice versa.
Everyone who is either happy or tall is not generous.
Everyone who is either not creative or creative is... | Fred is not happy. | neutral | ((?[X]:((kind(X)|~rich(X))))=>((funny(lucy)|~wise(lucy))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~tall(X)|generous(X))<=>(~humble(X)&kind(X))))&
(![X]:((happy(X)<~>tall(X))=>~generous(X)))&
(![X]:((~creative(X)<~>creative(X))=>(kind(X)<~>wise(X))))&
(((~kind(fred)<~>~patient(fred)))=>... | ~happy(fred) | [] | null | 0 |
Everyone who is not rich or happy is both not curious and kind and vice versa. Everyone who is either wise or curious is not funny or tall. Everyone who is both not old and not strong is either tall or brave. If someone is either not wise or not curious then paul is not creative. Everyone who is either not kind or pati... | John is humble. | entailment | (![X]:((~rich(X)|happy(X))<=>(~curious(X)&kind(X))))&
(![X]:((wise(X)<~>curious(X))=>(~funny(X)|tall(X))))&
(![X]:((~old(X)&~strong(X))=>(tall(X)<~>brave(X))))&
((?[X]:((~wise(X)<~>~curious(X))))=>(~creative(paul)))&
(![X]:((~kind(X)<~>patient(X))<=>(patient(X)&calm(X))))&
(![X]:(~patient(X)<=>(tall(X)&~funny(X))))&
(!... | humble(john) | [
"p0",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 454888643498489272117771
% SZS output start Proof for 454888643498489272117771
1. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (kind(X0) & ~curious(X0))) [input p0]
7. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> (~creative(X0) & ~curious(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~curious(X0)) =... | 0 |
If fred is not wise then someone is not old or not rich and vice versa.
Everyone who is kind or not patient is not happy or creative and vice versa.
If susan is either not rich or brave then john is both not kind and not wise.
Everyone who is both patient and not generous is both tall and not quiet and vice versa.
If s... | Alice is old. | neutral | ((~wise(fred))<=>(?[X]:((~old(X)|~rich(X)))))&
(![X]:((kind(X)|~patient(X))<=>(~happy(X)|creative(X))))&
(((~rich(susan)<~>brave(susan)))=>((~kind(john)&~wise(john))))&
(![X]:((patient(X)&~generous(X))<=>(tall(X)&~quiet(X))))&
((?[X]:((strong(X)<~>~kind(X))))=>(?[X]:((old(X)&~happy(X)))))&
((?[X]:((kind(X)&old(X))))=>(... | old(alice) | [] | null | 0 |
Everyone who is both generous and happy is either generous or strong. If someone is not funny then someone is wise or happy. If mary is either strong or tall then susan is both quiet and not humble and vice versa. Everyone who is kind or not generous is not calm or not creative and vice versa. If mary is not brave then... | Lucy is quiet. | contradiction | (![X]:((generous(X)&happy(X))=>(generous(X)<~>strong(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)|happy(X)))))&
(((strong(mary)<~>tall(mary)))<=>((quiet(susan)&~humble(susan))))&
(![X]:((kind(X)|~generous(X))<=>(~calm(X)|~creative(X))))&
((~brave(mary))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:((~calm(X)|quiet(X))=>(humb... | quiet(lucy) | [
"p3",
"p5",
"p7",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7082965212237722085402111
% SZS output start Proof for 7082965212237722085402111
4. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~creative(X0) | ~calm(X0))) [input p3]
6. ! [X0] : ((quiet(X0) | ~calm(X0)) => (humble(X0) <~> ~calm(X0))) [input p5]
8. ! [X0] : ((~humble(X0) | calm(X0)) => (qui... | 0 |
Everyone who is either rich or strong is either not generous or generous and vice versa. If susan is creative or generous then someone is not kind and vice versa. Everyone who is not quiet is either not kind or not happy and vice versa. Everyone who is not tall is either not funny or not rich. If alice is tall or happy... | Susan is not patient. | neutral | (![X]:((rich(X)<~>strong(X))<=>(~generous(X)<~>generous(X))))&
(((creative(susan)|generous(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(~quiet(X)<=>(~kind(X)<~>~happy(X))))&
(![X]:(~tall(X)=>(~funny(X)<~>~rich(X))))&
(((tall(alice)|happy(alice)))=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:((rich(X)|patient(X))<=>(humble(X)... | ~patient(susan) | [] | null | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | Mary is not wise. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~wise(mary) | [
"p3",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6241586888612863747873875
% SZS output start Proof for 6241586888612863747873875
4. ? [X0] : (~wise(X0) | ~humble(X0)) <=> (~curious(mary) & funny(mary)) [input p3]
9. ! [X0] : ((~rich(X0) & humble(X0)) <=> funny(X0)) [input p8]
15. ! [X0] : (wise(X0) => ~humble(X0)) [input p14]
23. wise(... | 0 |
If susan is not humble then lucy is either funny or curious. Everyone who is both generous and not strong is both curious and happy. Everyone who is not generous is not rich or wise and vice versa. If alice is either kind or not wise then someone is not wise. Everyone who is both curious and calm is both old and patien... | Fred is wise. | neutral | ((~humble(susan))=>((funny(lucy)<~>curious(lucy))))&
(![X]:((generous(X)&~strong(X))=>(curious(X)&happy(X))))&
(![X]:(~generous(X)<=>(~rich(X)|wise(X))))&
(((kind(alice)<~>~wise(alice)))=>(?[X]:(~wise(X))))&
(![X]:((curious(X)&calm(X))<=>(old(X)&patient(X))))&
(![X]:(~brave(X)=>(brave(X)<~>rich(X))))&
(((generous(mary)... | wise(fred) | [] | null | 0 |
If fred is both old and not patient then someone is wise and vice versa.
If mary is not patient or funny then alice is either strong or rich.
Everyone who is either not old or not wise is kind and vice versa.
If someone is calm or not strong then someone is both not humble and not creative and vice versa.
If someone is... | Alice is calm. | contradiction | (((old(fred)&~patient(fred)))<=>(?[X]:(wise(X))))&
(((~patient(mary)|funny(mary)))=>((strong(alice)<~>rich(alice))))&
(![X]:((~old(X)<~>~wise(X))<=>kind(X)))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)&~wise(X))))=>((kind(john)&wise(john))))&
(((kind(john)<~>~old(john)))=>(~wi... | calm(alice) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3422993022942199008712282
% SZS output start Proof for 3422993022942199008712282
13. ! [X0] : ((~kind(X0) | generous(X0)) <=> ~generous(X0)) [input p12]
15. ! [X0] : (~generous(X0) => ~calm(X0)) [input p14]
23. calm(alice) [input hypothesis]
37. ! [X0] : (~calm(X0) | generous(X0)) [ennf t... | 0 |
If someone is both not rich and not tall then alice is not creative or funny and vice versa. Everyone who is creative or not strong is both calm and not rich. Everyone who is patient or not rich is strong or not tall. If mary is both quiet and not brave then john is both strong and brave and vice versa. Everyone who is... | Lucy is not tall. | neutral | ((?[X]:((~rich(X)&~tall(X))))<=>((~creative(alice)|funny(alice))))&
(![X]:((creative(X)|~strong(X))=>(calm(X)&~rich(X))))&
(![X]:((patient(X)|~rich(X))=>(strong(X)|~tall(X))))&
(((quiet(mary)&~brave(mary)))<=>((strong(john)&brave(john))))&
(![X]:((happy(X)&funny(X))<=>happy(X)))&
(![X]:((~humble(X)&~curious(X))<=>(~str... | ~tall(lucy) | [] | null | 0 |
If mary is either rich or tall then paul is both humble and tall.
Everyone who is quiet is not creative and vice versa.
Everyone who is calm is both calm and strong and vice versa.
Everyone who is both not humble and not kind is either quiet or creative and vice versa.
Everyone who is curious is not calm or old and vic... | Fred is not happy. | neutral | (((rich(mary)<~>tall(mary)))=>((humble(paul)&tall(paul))))&
(![X]:(quiet(X)<=>~creative(X)))&
(![X]:(calm(X)<=>(calm(X)&strong(X))))&
(![X]:((~humble(X)&~kind(X))<=>(quiet(X)<~>creative(X))))&
(![X]:(curious(X)<=>(~calm(X)|old(X))))&
((~funny(alice))=>(?[X]:(rich(X))))&
(![X]:((~generous(X)|kind(X))<=>~brave(X)))&
((?[... | ~happy(fred) | [] | null | 0 |
Everyone who is either not quiet or happy is either not creative or not quiet and vice versa.
Everyone who is not curious is both creative and not strong.
Everyone who is tall or not funny is either patient or not happy.
If lucy is curious then alice is either not quiet or curious.
Everyone who is both rich and not ric... | Susan is generous. | contradiction | (![X]:((~quiet(X)<~>happy(X))<=>(~creative(X)<~>~quiet(X))))&
(![X]:(~curious(X)=>(creative(X)&~strong(X))))&
(![X]:((tall(X)|~funny(X))=>(patient(X)<~>~happy(X))))&
((curious(lucy))=>((~quiet(alice)<~>curious(alice))))&
(![X]:((rich(X)&~rich(X))=>(wise(X)&~old(X))))&
(((quiet(mary)|~tall(mary)))=>((~curious(mary)<~>~g... | generous(susan) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3870409899317272491748571
% SZS output start Proof for 3870409899317272491748571
10. ! [X0] : ((calm(X0) | brave(X0)) => strong(X0)) [input p9]
13. ! [X0] : ((~brave(X0) & generous(X0)) <=> (brave(X0) & strong(X0))) [input p12]
24. generous(susan) [input hypothesis]
37. ! [X0] : (strong(X... | 0 |
Everyone who is both not curious and brave is creative or strong and vice versa.
If mary is both not patient and not kind then someone is not generous and vice versa.
Everyone who is not strong or not rich is creative or rich and vice versa.
If mary is either not generous or kind then alice is not happy or not humble.
... | Alice is not quiet. | neutral | (![X]:((~curious(X)&brave(X))<=>(creative(X)|strong(X))))&
(((~patient(mary)&~kind(mary)))<=>(?[X]:(~generous(X))))&
(![X]:((~strong(X)|~rich(X))<=>(creative(X)|rich(X))))&
(((~generous(mary)<~>kind(mary)))=>((~happy(alice)|~humble(alice))))&
(![X]:((calm(X)|~brave(X))=>~old(X)))&
(![X]:((~calm(X)&patient(X))<=>(~stron... | ~quiet(alice) | [] | null | 0 |
If someone is either old or not humble then someone is curious.
If someone is both happy and curious then paul is either not old or quiet and vice versa.
Everyone who is strong or not generous is not kind or not old and vice versa.
If someone is either not wise or not tall then someone is both patient and wise.
Everyon... | Lucy is quiet. | contradiction | ((?[X]:((old(X)<~>~humble(X))))=>(?[X]:(curious(X))))&
((?[X]:((happy(X)&curious(X))))<=>((~old(paul)<~>quiet(paul))))&
(![X]:((strong(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:((~wise(X)<~>~tall(X))))=>(?[X]:((patient(X)&wise(X)))))&
(![X]:(~happy(X)=>(old(X)|quiet(X))))&
((~wise(alice))<=>(?[X]:(creative(X))))&... | quiet(lucy) | [
"p3",
"p6",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3645565271694348205436157
% SZS output start Proof for 3645565271694348205436157
4. ? [X0] : (~wise(X0) <~> ~tall(X0)) => ? [X0] : (wise(X0) & patient(X0)) [input p3]
7. ? [X0] : ~strong(X0) <=> ? [X0] : tall(X0) [input p6]
9. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (~generous(X0) | wise(X... | 0 |
Everyone who is old is not funny.
Everyone who is not tall or not quiet is both not quiet and not patient.
If someone is either not quiet or tall then someone is not tall or not brave and vice versa.
If someone is humble or not generous then susan is not creative.
Everyone who is not old or not wise is both kind and no... | Susan is quiet. | neutral | (![X]:(old(X)=>~funny(X)))&
(![X]:((~tall(X)|~quiet(X))=>(~quiet(X)&~patient(X))))&
((?[X]:((~quiet(X)<~>tall(X))))<=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((humble(X)|~generous(X))))=>(~creative(susan)))&
(![X]:((~old(X)|~wise(X))<=>(kind(X)&~curious(X))))&
(((~creative(mary)<~>happy(mary)))<=>(?[X]:(~patient(X))))&
... | quiet(susan) | [] | null | 0 |
Everyone who is either tall or patient is not humble or not rich and vice versa. Everyone who is kind or not humble is happy. Everyone who is both creative and not wise is both not creative and not generous and vice versa. Everyone who is generous is quiet. Everyone who is both not strong and not wise is not tall. Ever... | Lucy is not curious. | entailment | (![X]:((tall(X)<~>patient(X))<=>(~humble(X)|~rich(X))))&
(![X]:((kind(X)|~humble(X))=>happy(X)))&
(![X]:((creative(X)&~wise(X))<=>(~creative(X)&~generous(X))))&
(![X]:(generous(X)=>quiet(X)))&
(![X]:((~strong(X)&~wise(X))=>~tall(X)))&
(![X]:((~strong(X)&calm(X))<=>(~patient(X)&funny(X))))&
((?[X]:(brave(X)))=>(wise(ali... | ~curious(lucy) | [
"p2",
"p3",
"p7",
"p9",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3113944646773658498994222
% SZS output start Proof for 3113944646773658498994222
3. ! [X0] : ((~wise(X0) & creative(X0)) <=> (~generous(X0) & ~creative(X0))) [input p2]
4. ! [X0] : (generous(X0) => quiet(X0)) [input p3]
8. ! [X0] : (old(X0) <=> (tall(X0) | brave(X0))) [input p7]
10. (funn... | 0 |
If someone is not tall or not kind then someone is either not kind or kind and vice versa.
If someone is both not curious and not brave then someone is not humble.
Everyone who is not patient is both old and calm.
Everyone who is either not creative or not rich is either not patient or strong.
Everyone who is both stro... | Alice is not creative. | entailment | ((?[X]:((~tall(X)|~kind(X))))<=>(?[X]:((~kind(X)<~>kind(X)))))&
((?[X]:((~curious(X)&~brave(X))))=>(?[X]:(~humble(X))))&
(![X]:(~patient(X)=>(old(X)&calm(X))))&
(![X]:((~creative(X)<~>~rich(X))=>(~patient(X)<~>strong(X))))&
(![X]:((strong(X)&~creative(X))<=>(~patient(X)|quiet(X))))&
((?[X]:((~patient(X)|curious(X))))=>... | ~creative(alice) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5291668325856693809210724
% SZS output start Proof for 5291668325856693809210724
5. ! [X0] : ((~creative(X0) & strong(X0)) <=> (quiet(X0) | ~patient(X0))) [input p4]
17. ~funny(alice) & ~patient(alice) [input p16]
24. creative(alice) [input hypothesis]
47. ! [X0] : (((~creative(X0) & stro... | 0 |
Everyone who is either old or generous is not calm and vice versa.
If someone is both not old and not rich then someone is brave and vice versa.
Everyone who is kind is not quiet.
Everyone who is both not rich and not patient is both brave and not generous.
If susan is creative or wise then someone is not calm.
If some... | Susan is curious. | contradiction | (![X]:((old(X)<~>generous(X))<=>~calm(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&~generous(X))))&
(((creative(susan)|wise(susan)))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((wise(X)<~>hum... | curious(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3012773771276711121106081
% SZS output start Proof for 3012773771276711121106081
13. ! [X0] : ((curious(X0) | generous(X0)) => ~curious(X0)) [input p12]
25. curious(susan) [input hypothesis]
42. ! [X0] : (~curious(X0) | (~curious(X0) & ~generous(X0))) [ennf transformation 13]
115. ~curiou... | 0 |
If fred is not funny then someone is not patient or not generous and vice versa.
If someone is both calm and not old then john is both not calm and not rich.
Everyone who is quiet or not wise is either wise or patient and vice versa.
If john is tall then someone is tall or not creative.
If someone is happy or wise then... | John is curious. | entailment | ((~funny(fred))<=>(?[X]:((~patient(X)|~generous(X)))))&
((?[X]:((calm(X)&~old(X))))=>((~calm(john)&~rich(john))))&
(![X]:((quiet(X)|~wise(X))<=>(wise(X)<~>patient(X))))&
((tall(john))=>(?[X]:((tall(X)|~creative(X)))))&
((?[X]:((happy(X)|wise(X))))<=>(~calm(fred)))&
(![X]:(~quiet(X)<=>(~tall(X)<~>~calm(X))))&
(![X]:(pat... | curious(john) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 446429296810037660288487
% SZS output start Proof for 446429296810037660288487
8. ! [X0] : ((funny(X0) & happy(X0)) <=> (funny(X0) <~> ~kind(X0))) [input p7]
15. ! [X0] : ((kind(X0) | funny(X0)) <=> (~strong(X0) & curious(X0))) [input p14]
22. ~curious(john) [input hypothesis]
43. ! [X0] ... | 0 |
If someone is not tall or not humble then someone is either not tall or not calm and vice versa.
If mary is both not old and not patient then alice is both not brave and funny and vice versa.
If john is not creative or not patient then lucy is either not wise or humble and vice versa.
Everyone who is not rich is not br... | John is not brave. | contradiction | ((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((~old(mary)&~patient(mary)))<=>((~brave(alice)&funny(alice))))&
(((~creative(john)|~patient(john)))<=>((~wise(lucy)<~>humble(lucy))))&
(![X]:(~rich(X)<=>~brave(X)))&
(![X]:(rich(X)<=>(strong(X)&old(X))))&
(![X]:((brave(X)|calm(X))<=>(wise(X)|~humble(X... | ~brave(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3647790530392107109140052
% SZS output start Proof for 3647790530392107109140052
8. ! [X0] : ((~brave(X0) | happy(X0)) => (funny(X0) & ~funny(X0))) [input p7]
25. ~brave(john) [input hypothesis]
29. ! [X0] : ((funny(X0) & ~funny(X0)) | (brave(X0) & ~happy(X0))) [ennf transformation 8]
99.... | 0 |
Everyone who is quiet or not wise is quiet and vice versa.
If lucy is either not strong or kind then alice is both not kind and not happy and vice versa.
If someone is not tall then john is both not brave and curious and vice versa.
Everyone who is funny or not generous is either not kind or not generous.
If someone is... | John is brave. | contradiction | (![X]:((quiet(X)|~wise(X))<=>quiet(X)))&
(((~strong(lucy)<~>kind(lucy)))<=>((~kind(alice)&~happy(alice))))&
((?[X]:(~tall(X)))<=>((~brave(john)&curious(john))))&
(![X]:((funny(X)|~generous(X))=>(~kind(X)<~>~generous(X))))&
((?[X]:((~tall(X)<~>quiet(X))))<=>(?[X]:(brave(X))))&
((?[X]:(~patient(X)))<=>((~quiet(susan)|kin... | brave(john) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3473742155323250029423033
% SZS output start Proof for 3473742155323250029423033
3. ? [X0] : ~tall(X0) <=> (curious(john) & ~brave(john)) [input p2]
21. ? [X0] : (~tall(X0) & ~happy(X0)) [input p20]
25. brave(john) [input hypothesis]
39. (? [X0] : ~tall(X0) | (~curious(john) | brave(john)... | 0 |
If someone is either kind or not curious then someone is both not creative and rich and vice versa.
If alice is rich or not humble then someone is not rich.
If someone is not funny or happy then john is both curious and not generous.
If mary is rich or not humble then lucy is either kind or curious and vice versa.
Ever... | Susan is brave. | entailment | ((?[X]:((kind(X)<~>~curious(X))))<=>(?[X]:((~creative(X)&rich(X)))))&
(((rich(alice)|~humble(alice)))=>(?[X]:(~rich(X))))&
((?[X]:((~funny(X)|happy(X))))=>((curious(john)&~generous(john))))&
(((rich(mary)|~humble(mary)))<=>((kind(lucy)<~>curious(lucy))))&
(![X]:((~generous(X)&~wise(X))=>(~wise(X)|~quiet(X))))&
(![X]:((... | brave(susan) | [
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9138277585023017557458082
% SZS output start Proof for 9138277585023017557458082
10. ! [X0] : (~strong(X0) => (brave(X0) & ~wise(X0))) [input p9]
15. ! [X0] : ((kind(X0) & ~wise(X0)) <=> (~patient(X0) | strong(X0))) [input p14]
21. ~creative(susan) & ~kind(susan) [input p20]
23. ~brave(su... | 0 |
Everyone who is both not brave and quiet is not humble or patient and vice versa.
If someone is not quiet or old then someone is not brave or wise and vice versa.
Everyone who is either not happy or not wise is both kind and happy and vice versa.
If someone is funny then someone is not kind or wise and vice versa.
If m... | John is not humble. | neutral | (![X]:((~brave(X)&quiet(X))<=>(~humble(X)|patient(X))))&
((?[X]:((~quiet(X)|old(X))))<=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((~happy(X)<~>~wise(X))<=>(kind(X)&happy(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~kind(X)|wise(X)))))&
((rich(mary))<=>(~funny(john)))&
(![X]:(creative(X)=>strong(X)))&
((?[X]:((~kind(X)|generous(X))... | ~humble(john) | [] | null | 0 |
Everyone who is tall is both quiet and patient and vice versa.
If someone is kind then fred is not humble and vice versa.
Everyone who is either not strong or old is both not humble and not patient.
If someone is creative then john is curious or funny.
Everyone who is both kind and calm is both creative and happy and v... | Paul is not old. | entailment | (![X]:(tall(X)<=>(quiet(X)&patient(X))))&
((?[X]:(kind(X)))<=>(~humble(fred)))&
(![X]:((~strong(X)<~>old(X))=>(~humble(X)&~patient(X))))&
((?[X]:(creative(X)))=>((curious(john)|funny(john))))&
(![X]:((kind(X)&calm(X))<=>(creative(X)&happy(X))))&
(((kind(lucy)<~>~patient(lucy)))<=>(?[X]:(~creative(X))))&
(((brave(alice)... | ~old(paul) | [
"p2",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1242237516256857962101028
% SZS output start Proof for 1242237516256857962101028
3. ! [X0] : ((~strong(X0) <~> old(X0)) => (~patient(X0) & ~humble(X0))) [input p2]
21. patient(paul) & happy(paul) [input p20]
24. strong(paul) [input p23]
25. old(paul) [input hypothesis]
29. ! [X0] : ((~pat... | 0 |
If paul is both quiet and not old then someone is not patient or not brave and vice versa.
Everyone who is creative is patient.
If john is both quiet and not humble then john is both rich and not calm and vice versa.
If mary is both not patient and tall then mary is either not calm or not quiet and vice versa.
Everyone... | Paul is not brave. | neutral | (((quiet(paul)&~old(paul)))<=>(?[X]:((~patient(X)|~brave(X)))))&
(![X]:(creative(X)=>patient(X)))&
(((quiet(john)&~humble(john)))<=>((rich(john)&~calm(john))))&
(((~patient(mary)&tall(mary)))<=>((~calm(mary)<~>~quiet(mary))))&
(![X]:(~quiet(X)=>patient(X)))&
(![X]:((~rich(X)|funny(X))=>~old(X)))&
(![X]:((brave(X)<~>~ol... | ~brave(paul) | [] | null | 0 |
Everyone who is strong is tall and vice versa. If someone is either humble or happy then someone is not kind. Everyone who is both not happy and not old is generous and vice versa. Everyone who is both patient and not strong is not old or generous and vice versa. Everyone who is both not humble and not wise is not curi... | Paul is not wise. | entailment | (![X]:(strong(X)<=>tall(X)))&
((?[X]:((humble(X)<~>happy(X))))=>(?[X]:(~kind(X))))&
(![X]:((~happy(X)&~old(X))<=>generous(X)))&
(![X]:((patient(X)&~strong(X))<=>(~old(X)|generous(X))))&
(![X]:((~humble(X)&~wise(X))=>(~curious(X)|calm(X))))&
(![X]:((generous(X)<~>wise(X))=>rich(X)))&
(((old(fred)&~wise(fred)))=>((patien... | ~wise(paul) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6628071816685183683211699
% SZS output start Proof for 6628071816685183683211699
1. ! [X0] : (strong(X0) <=> tall(X0)) [input p0]
3. ! [X0] : ((~old(X0) & ~happy(X0)) <=> generous(X0)) [input p2]
6. ! [X0] : ((generous(X0) <~> wise(X0)) => rich(X0)) [input p5]
8. ! [X0] : ((strong(X0) <~>... | 0 |
Everyone who is either kind or brave is either not rich or not quiet. If susan is not patient then someone is not calm or not kind. Everyone who is either brave or not generous is not generous. If alice is both not kind and not happy then someone is generous or not old. Everyone who is both not humble and not kind is w... | John is rich. | entailment | (![X]:((kind(X)<~>brave(X))=>(~rich(X)<~>~quiet(X))))&
((~patient(susan))=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((brave(X)<~>~generous(X))=>~generous(X)))&
(((~kind(alice)&~happy(alice)))=>(?[X]:((generous(X)|~old(X)))))&
(![X]:((~humble(X)&~kind(X))=>wise(X)))&
(![X]:((calm(X)|~rich(X))=>~calm(X)))&
((?[X]:((calm(X)<~... | rich(john) | [
"p0",
"p2",
"p5",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 750149399858077334978477
% SZS output start Proof for 750149399858077334978477
1. ! [X0] : ((kind(X0) <~> brave(X0)) => (~rich(X0) <~> ~quiet(X0))) [input p0]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => ~generous(X0)) [input p2]
6. ! [X0] : ((~rich(X0) | calm(X0)) => ~calm(X0)) [input p... | 0 |
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