premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not strong or not calm then someone is either quiet or not quiet and vice versa. Everyone who is both not creative and strong is either not strong or not happy. Everyone who is either not strong or not funny is not wise and vice versa. If alice is either not happy or not brave then alice is both kind and ... | Susan is not strong. | contradiction | ((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~creative(X)&strong(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>~wise(X)))&
(((~happy(alice)<~>~brave(alice)))<=>((kind(alice)&calm(alice))))&
(![X]:((~wise(X)<~>~funny(X))<=>(~funny(X)&wise(X))))&
(((strong(mary)|humble(... | ~strong(susan) | [
"p2",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 536100639478010901498596
% SZS output start Proof for 536100639478010901498596
3. ! [X0] : ((~strong(X0) <~> ~funny(X0)) <=> ~wise(X0)) [input p2]
5. ! [X0] : ((~wise(X0) <~> ~funny(X0)) <=> (wise(X0) & ~funny(X0))) [input p4]
7. ! [X0] : (~strong(X0) => kind(X0)) [input p6]
8. ! [X0] : (... | 0 |
If paul is either not generous or humble then someone is not rich or not curious.
Everyone who is both not creative and not patient is strong or not calm.
If someone is either not calm or creative then susan is either not happy or generous and vice versa.
If mary is not brave or calm then fred is kind or not wise and v... | Lucy is quiet. | entailment | (((~generous(paul)<~>humble(paul)))=>(?[X]:((~rich(X)|~curious(X)))))&
(![X]:((~creative(X)&~patient(X))=>(strong(X)|~calm(X))))&
((?[X]:((~calm(X)<~>creative(X))))<=>((~happy(susan)<~>generous(susan))))&
(((~brave(mary)|calm(mary)))<=>((kind(fred)|~wise(fred))))&
(((~generous(susan)|generous(susan)))<=>(?[X]:((humble(... | quiet(lucy) | [
"p5",
"p10",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4120128289906252541429057
% SZS output start Proof for 4120128289906252541429057
6. ! [X0] : (old(X0) => (~curious(X0) & ~tall(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | strong(X0)) <=> (~strong(X0) | rich(X0))) [input p10]
12. ! [X0] : (~patient(X0) <=> ~quiet(X0)) [input p11]
13. ! [X... | 0 |
Everyone who is either calm or not curious is creative or wise and vice versa. If someone is either not patient or not funny then someone is not tall or quiet and vice versa. Everyone who is both kind and not rich is not rich. Everyone who is both not creative and not curious is not patient and vice versa. Everyone who... | Paul is generous. | entailment | (![X]:((calm(X)<~>~curious(X))<=>(creative(X)|wise(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:((kind(X)&~rich(X))=>~rich(X)))&
(![X]:((~creative(X)&~curious(X))<=>~patient(X)))&
(![X]:(generous(X)<=>(curious(X)<~>~calm(X))))&
(![X]:((humble(X)<~>~patient(X))<=>humble(X)))&
((?[X]:... | generous(paul) | [
"p0",
"p3",
"p4",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2373658620224050851299343
% SZS output start Proof for 2373658620224050851299343
1. ! [X0] : ((calm(X0) <~> ~curious(X0)) <=> (wise(X0) | creative(X0))) [input p0]
4. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> ~patient(X0)) [input p3]
5. ! [X0] : (generous(X0) <=> (curious(X0) <~> ~calm... | 0 |
If fred is not quiet then mary is either creative or happy and vice versa.
Everyone who is not quiet is either not brave or not humble and vice versa.
Everyone who is either quiet or not patient is not generous and vice versa.
If someone is brave then someone is either not tall or not wise.
Everyone who is both happy a... | Alice is curious. | neutral | ((~quiet(fred))<=>((creative(mary)<~>happy(mary))))&
(![X]:(~quiet(X)<=>(~brave(X)<~>~humble(X))))&
(![X]:((quiet(X)<~>~patient(X))<=>~generous(X)))&
((?[X]:(brave(X)))=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((happy(X)&~creative(X))<=>(~tall(X)<~>funny(X))))&
(![X]:((~curious(X)&patient(X))=>~wise(X)))&
((~calm(alice)... | curious(alice) | [] | null | 0 |
Everyone who is not kind is generous.
Everyone who is not brave is not rich or not quiet and vice versa.
If someone is not calm or not strong then john is happy or not creative.
Everyone who is quiet is both generous and not quiet.
If susan is either strong or curious then susan is humble or not patient.
If someone is ... | Alice is not wise. | neutral | (![X]:(~kind(X)=>generous(X)))&
(![X]:(~brave(X)<=>(~rich(X)|~quiet(X))))&
((?[X]:((~calm(X)|~strong(X))))=>((happy(john)|~creative(john))))&
(![X]:(quiet(X)=>(generous(X)&~quiet(X))))&
(((strong(susan)<~>curious(susan)))=>((humble(susan)|~patient(susan))))&
((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:(curious(X))))&
(... | ~wise(alice) | [] | null | 0 |
Everyone who is kind or not old is not quiet.
If someone is not strong or happy then someone is either tall or not strong.
If fred is tall then someone is calm or humble and vice versa.
Everyone who is both tall and not patient is rich and vice versa.
If someone is either not generous or not curious then someone is kin... | Lucy is not patient. | entailment | (![X]:((kind(X)|~old(X))=>~quiet(X)))&
((?[X]:((~strong(X)|happy(X))))=>(?[X]:((tall(X)<~>~strong(X)))))&
((tall(fred))<=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((tall(X)&~patient(X))<=>rich(X)))&
((?[X]:((~generous(X)<~>~curious(X))))=>(?[X]:(kind(X))))&
(![X]:((~patient(X)&brave(X))<=>~quiet(X)))&
(![X]:((~generous(X)<... | ~patient(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 76480632482840245211480
% SZS output start Proof for 76480632482840245211480
8. ! [X0] : ((creative(X0) | patient(X0)) <=> (~patient(X0) & humble(X0))) [input p7]
23. patient(lucy) [input hypothesis]
52. ! [X0] : (((creative(X0) | patient(X0)) | (patient(X0) | ~humble(X0))) & ((~patient(X... | 0 |
Everyone who is kind or brave is curious and vice versa.
Everyone who is either tall or patient is not generous or not wise and vice versa.
Everyone who is rich or not creative is either happy or not patient.
If someone is happy or not calm then john is calm or happy and vice versa.
If fred is creative or not happy the... | Fred is not calm. | neutral | (![X]:((kind(X)|brave(X))<=>curious(X)))&
(![X]:((tall(X)<~>patient(X))<=>(~generous(X)|~wise(X))))&
(![X]:((rich(X)|~creative(X))=>(happy(X)<~>~patient(X))))&
((?[X]:((happy(X)|~calm(X))))<=>((calm(john)|happy(john))))&
(((creative(fred)|~happy(fred)))<=>(?[X]:((~quiet(X)&~humble(X)))))&
((?[X]:((brave(X)|creative(X))... | ~calm(fred) | [] | null | 0 |
If someone is not calm or not humble then someone is both kind and not rich and vice versa. Everyone who is both curious and brave is not brave or not tall and vice versa. If someone is both calm and not wise then someone is both not wise and not tall and vice versa. Everyone who is either not strong or not old is not ... | Lucy is not creative. | neutral | ((?[X]:((~calm(X)|~humble(X))))<=>(?[X]:((kind(X)&~rich(X)))))&
(![X]:((curious(X)&brave(X))<=>(~brave(X)|~tall(X))))&
((?[X]:((calm(X)&~wise(X))))<=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((~strong(X)<~>~old(X))=>(~rich(X)|~strong(X))))&
(((~generous(fred)<~>~humble(fred)))=>((~rich(john)|rich(john))))&
(![X]:((~wise(X)... | ~creative(lucy) | [] | null | 0 |
Everyone who is both creative and happy is both tall and humble and vice versa.
If susan is not kind or not patient then someone is either not quiet or happy and vice versa.
If paul is not quiet then someone is not brave or not generous.
If someone is either not strong or not rich then someone is either tall or not cur... | Paul is not creative. | entailment | (![X]:((creative(X)&happy(X))<=>(tall(X)&humble(X))))&
(((~kind(susan)|~patient(susan)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
((~quiet(paul))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(~happy(X)<=>(~kind(X)<~>funny(X))))&
(((patient(john)&~quiet(john... | ~creative(paul) | [
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8880171147509547830349413
% SZS output start Proof for 8880171147509547830349413
10. ! [X0] : (~patient(X0) <=> (creative(X0) & ~strong(X0))) [input p9]
13. ? [X0] : creative(X0) <=> ~patient(paul) [input p12]
16. rich(paul) & strong(paul) [input p15]
21. creative(paul) [input hypothesis]... | 0 |
Everyone who is both not quiet and not generous is either patient or rich and vice versa. Everyone who is generous or not funny is either calm or not brave. Everyone who is either brave or rich is not calm. Everyone who is not wise or brave is both happy and rich. If mary is funny then susan is both brave and not rich.... | Susan is not quiet. | entailment | (![X]:((~quiet(X)&~generous(X))<=>(patient(X)<~>rich(X))))&
(![X]:((generous(X)|~funny(X))=>(calm(X)<~>~brave(X))))&
(![X]:((brave(X)<~>rich(X))=>~calm(X)))&
(![X]:((~wise(X)|brave(X))=>(happy(X)&rich(X))))&
((funny(mary))=>((brave(susan)&~rich(susan))))&
(![X]:((~curious(X)<~>old(X))=>(rich(X)&~old(X))))&
(((~happy(al... | ~quiet(susan) | [
"p1",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4872142633387700402173271
% SZS output start Proof for 4872142633387700402173271
2. ! [X0] : ((~funny(X0) | generous(X0)) => (calm(X0) <~> ~brave(X0))) [input p1]
8. ! [X0] : (~quiet(X0) <=> brave(X0)) [input p7]
11. ! [X0] : (patient(X0) <=> (calm(X0) & strong(X0))) [input p10]
12. ! [X0... | 0 |
If fred is happy then susan is tall and vice versa. Everyone who is both wise and humble is either strong or kind and vice versa. Everyone who is either not quiet or funny is old or not rich and vice versa. If fred is either happy or brave then someone is either not brave or tall and vice versa. Everyone who is either ... | Susan is tall. | entailment | ((happy(fred))<=>(tall(susan)))&
(![X]:((wise(X)&humble(X))<=>(strong(X)<~>kind(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(old(X)|~rich(X))))&
(((happy(fred)<~>brave(fred)))<=>(?[X]:((~brave(X)<~>tall(X)))))&
(![X]:((strong(X)<~>~curious(X))=>(old(X)|wise(X))))&
((creative(alice))<=>(?[X]:((rich(X)<~>tall(X)))))&
(((stron... | tall(susan) | [
"p0",
"p6",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7184340120589128358474547
% SZS output start Proof for 7184340120589128358474547
1. happy(fred) <=> tall(susan) [input p0]
7. (~tall(fred) & strong(fred)) <=> ? [X0] : calm(X0) [input p6]
11. ! [X0] : ((~strong(X0) <~> ~quiet(X0)) => (tall(X0) & ~humble(X0))) [input p10]
15. ! [X0] : ((~q... | 0 |
If someone is calm or not curious then mary is either wise or funny.
Everyone who is both not calm and calm is both not strong and quiet and vice versa.
If someone is not humble or happy then someone is either brave or wise and vice versa.
Everyone who is either funny or not happy is not kind.
Everyone who is not funny... | Fred is not kind. | contradiction | ((?[X]:((calm(X)|~curious(X))))=>((wise(mary)<~>funny(mary))))&
(![X]:((~calm(X)&calm(X))<=>(~strong(X)&quiet(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~happy(X))=>~kind(X)))&
(![X]:((~funny(X)|brave(X))<=>(strong(X)<~>~brave(X))))&
(![X]:((~creative(X)|wise(X))<=>(funn... | ~kind(fred) | [
"p1",
"p4",
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 340511781139529200959515
% SZS output start Proof for 340511781139529200959515
2. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (quiet(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((brave(X0) | ~funny(X0)) <=> (strong(X0) <~> ~brave(X0))) [input p4]
8. ! [X0] : ((funny(X0) | old(X0)) => (~brave(X0) ... | 0 |
If fred is generous then someone is rich and vice versa.
If someone is not curious then someone is not happy or not patient.
If paul is tall then alice is both curious and not old.
Everyone who is generous or not kind is quiet.
If paul is either funny or not kind then someone is either not curious or calm.
Everyone who... | Mary is not old. | neutral | ((generous(fred))<=>(?[X]:(rich(X))))&
((?[X]:(~curious(X)))=>(?[X]:((~happy(X)|~patient(X)))))&
((tall(paul))=>((curious(alice)&~old(alice))))&
(![X]:((generous(X)|~kind(X))=>quiet(X)))&
(((funny(paul)<~>~kind(paul)))=>(?[X]:((~curious(X)<~>calm(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~creative(X)&old(X))))&
(![X]:((~wis... | ~old(mary) | [] | null | 0 |
If someone is both brave and not humble then alice is both not patient and quiet and vice versa. If susan is either kind or not creative then john is either funny or curious. Everyone who is tall or not wise is either funny or strong. Everyone who is curious is either old or not happy. Everyone who is both not rich and... | John is humble. | neutral | ((?[X]:((brave(X)&~humble(X))))<=>((~patient(alice)&quiet(alice))))&
(((kind(susan)<~>~creative(susan)))=>((funny(john)<~>curious(john))))&
(![X]:((tall(X)|~wise(X))=>(funny(X)<~>strong(X))))&
(![X]:(curious(X)=>(old(X)<~>~happy(X))))&
(![X]:((~rich(X)&rich(X))<=>~patient(X)))&
(![X]:((~calm(X)<~>~brave(X))=>(strong(X)... | humble(john) | [] | null | 0 |
If alice is kind then alice is both humble and tall.
If mary is not old or creative then mary is patient and vice versa.
Everyone who is not brave is tall.
If someone is not kind or happy then mary is not quiet or not strong and vice versa.
If someone is both quiet and not old then john is not quiet and vice versa.
If ... | Fred is calm. | neutral | ((kind(alice))=>((humble(alice)&tall(alice))))&
(((~old(mary)|creative(mary)))<=>(patient(mary)))&
(![X]:(~brave(X)=>tall(X)))&
((?[X]:((~kind(X)|happy(X))))<=>((~quiet(mary)|~strong(mary))))&
((?[X]:((quiet(X)&~old(X))))<=>(~quiet(john)))&
(((humble(mary)|~patient(mary)))<=>((happy(fred)|brave(fred))))&
((?[X]:((rich(... | calm(fred) | [] | null | 0 |
Everyone who is both not wise and not kind is not curious or not creative and vice versa.
Everyone who is not rich is not rich or not funny.
Everyone who is happy is kind or rich.
Everyone who is either kind or not funny is both curious and not tall and vice versa.
If mary is not generous or not patient then john is bo... | Mary is not calm. | neutral | (![X]:((~wise(X)&~kind(X))<=>(~curious(X)|~creative(X))))&
(![X]:(~rich(X)=>(~rich(X)|~funny(X))))&
(![X]:(happy(X)=>(kind(X)|rich(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(curious(X)&~tall(X))))&
(((~generous(mary)|~patient(mary)))=>((tall(john)&happy(john))))&
(![X]:(~calm(X)<=>(~calm(X)|old(X))))&
((?[X]:((funny(X)&hum... | ~calm(mary) | [] | null | 0 |
If someone is either creative or not curious then susan is either not brave or not generous and vice versa. Everyone who is either tall or not humble is not old and vice versa. If alice is both not creative and wise then someone is both tall and rich and vice versa. If someone is not kind or not tall then susan is rich... | Alice is creative. | neutral | ((?[X]:((creative(X)<~>~curious(X))))<=>((~brave(susan)<~>~generous(susan))))&
(![X]:((tall(X)<~>~humble(X))<=>~old(X)))&
(((~creative(alice)&wise(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((~kind(X)|~tall(X))))=>(rich(susan)))&
(![X]:((~strong(X)<~>~patient(X))=>(humble(X)|creative(X))))&
(![X]:((~curious(X)<~>pa... | creative(alice) | [] | null | 0 |
Everyone who is wise or generous is not happy and vice versa. If mary is creative then someone is humble or not wise. If alice is not rich then lucy is either strong or funny and vice versa. If mary is curious then lucy is either not patient or not rich and vice versa. If someone is creative or wise then john is either... | Lucy is generous. | contradiction | (![X]:((wise(X)|generous(X))<=>~happy(X)))&
((creative(mary))=>(?[X]:((humble(X)|~wise(X)))))&
((~rich(alice))<=>((strong(lucy)<~>funny(lucy))))&
((curious(mary))<=>((~patient(lucy)<~>~rich(lucy))))&
((?[X]:((creative(X)|wise(X))))<=>((calm(john)<~>~funny(john))))&
(![X]:(old(X)<=>(tall(X)&~old(X))))&
(![X]:(~brave(X)<... | generous(lucy) | [
"p0",
"p5",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4962738020288948992545396
% SZS output start Proof for 4962738020288948992545396
1. ! [X0] : ((generous(X0) | wise(X0)) <=> ~happy(X0)) [input p0]
6. ! [X0] : (old(X0) <=> (~old(X0) & tall(X0))) [input p5]
9. ? [X0] : (~creative(X0) <~> generous(X0)) => old(mary) [input p8]
13. ? [X0] : (... | 0 |
If someone is patient then paul is not old or not patient and vice versa.
If paul is either kind or creative then alice is either not strong or old and vice versa.
Everyone who is both happy and not creative is not funny or not creative.
If fred is both not wise and not old then mary is either curious or creative and v... | Paul is not rich. | entailment | ((?[X]:(patient(X)))<=>((~old(paul)|~patient(paul))))&
(((kind(paul)<~>creative(paul)))<=>((~strong(alice)<~>old(alice))))&
(![X]:((happy(X)&~creative(X))=>(~funny(X)|~creative(X))))&
(((~wise(fred)&~old(fred)))<=>((curious(mary)<~>creative(mary))))&
(![X]:(~kind(X)<=>wise(X)))&
((?[X]:((wise(X)|funny(X))))=>(?[X]:((~f... | ~rich(paul) | [
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8581709866506417279980135
% SZS output start Proof for 8581709866506417279980135
5. ! [X0] : (~kind(X0) <=> wise(X0)) [input p4]
8. ! [X0] : (kind(X0) <=> (calm(X0) | wise(X0))) [input p7]
9. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> (~rich(X0) & funny(X0))) [input p8]
24. rich(paul) [inpu... | 0 |
If john is either not curious or not tall then john is both not tall and curious and vice versa. Everyone who is curious or not creative is either not brave or humble and vice versa. Everyone who is patient is both tall and not quiet. Everyone who is both creative and not tall is either not quiet or brave. If paul is w... | Paul is kind. | contradiction | (((~curious(john)<~>~tall(john)))<=>((~tall(john)&curious(john))))&
(![X]:((curious(X)|~creative(X))<=>(~brave(X)<~>humble(X))))&
(![X]:(patient(X)=>(tall(X)&~quiet(X))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>brave(X))))&
((wise(paul))<=>(?[X]:(~calm(X))))&
(![X]:((patient(X)&humble(X))<=>(~generous(X)<~>curious... | kind(paul) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 257905903406053126311738
% SZS output start Proof for 257905903406053126311738
1. (~curious(john) <~> ~tall(john)) <=> (curious(john) & ~tall(john)) [input p0]
3. ! [X0] : (patient(X0) => (~quiet(X0) & tall(X0))) [input p2]
6. ! [X0] : ((humble(X0) & patient(X0)) <=> (~generous(X0) <~> cu... | 0 |
Everyone who is not strong or not wise is curious or not funny and vice versa.
If someone is either happy or creative then someone is rich or strong and vice versa.
Everyone who is strong or patient is not humble.
Everyone who is patient or not old is creative or curious.
If someone is funny or strong then lucy is humb... | Mary is not kind. | entailment | (![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=>(humble(lucy)))&
(((~creative(john)<~>calm(john)))<=>(?[X]:((... | ~kind(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7689183382764156592728077
% SZS output start Proof for 7689183382764156592728077
8. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> curious(X0)) [input p7]
24. kind(mary) [input hypothesis]
49. ! [X0] : (((~curious(X0) | ~kind(X0)) | ~curious(X0)) & (curious(X0) | (curious(X0) & kind(X0)))) [nnf... | 0 |
If alice is both not old and not quiet then someone is either not patient or old.
If someone is patient then fred is not kind and vice versa.
Everyone who is tall or quiet is either not kind or not rich.
Everyone who is either humble or not wise is either calm or not quiet and vice versa.
If someone is humble then fred... | John is not rich. | entailment | (((~old(alice)&~quiet(alice)))=>(?[X]:((~patient(X)<~>old(X)))))&
((?[X]:(patient(X)))<=>(~kind(fred)))&
(![X]:((tall(X)|quiet(X))=>(~kind(X)<~>~rich(X))))&
(![X]:((humble(X)<~>~wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:(humble(X)))=>((calm(fred)&rich(fred))))&
(![X]:((rich(X)|strong(X))=>(patient(X)<~>quiet(X))))&
((... | ~rich(john) | [
"p2",
"p5",
"p8",
"p10",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7852931442219602120226052
% SZS output start Proof for 7852931442219602120226052
3. ! [X0] : ((quiet(X0) | tall(X0)) => (~kind(X0) <~> ~rich(X0))) [input p2]
6. ! [X0] : ((strong(X0) | rich(X0)) => (patient(X0) <~> quiet(X0))) [input p5]
9. ? [X0] : wise(X0) => (~creative(john) & ~generou... | 0 |
If susan is both funny and quiet then someone is either brave or not tall and vice versa.
Everyone who is not calm is either not wise or not brave and vice versa.
If lucy is either humble or happy then susan is not rich or creative.
If susan is not calm or not generous then someone is both generous and quiet and vice v... | John is brave. | entailment | (((funny(susan)&quiet(susan)))<=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~calm(X)<=>(~wise(X)<~>~brave(X))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:(~rich(X)<=>(~generous(X)|creative(X))))&
(((humble(susan)|creati... | brave(john) | [
"p6",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2900170901351323544782331
% SZS output start Proof for 2900170901351323544782331
7. ! [X0] : ((generous(X0) & brave(X0)) <=> ~calm(X0)) [input p6]
10. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p9]
12. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0)... | 0 |
Everyone who is not creative or patient is tall or not happy and vice versa.
Everyone who is not humble is wise.
Everyone who is either old or not patient is either kind or not tall and vice versa.
If alice is both not kind and not creative then fred is both not generous and not brave.
If fred is not happy or quiet the... | Fred is kind. | entailment | (![X]:((~creative(X)|patient(X))<=>(tall(X)|~happy(X))))&
(![X]:(~humble(X)=>wise(X)))&
(![X]:((old(X)<~>~patient(X))<=>(kind(X)<~>~tall(X))))&
(((~kind(alice)&~creative(alice)))=>((~generous(fred)&~brave(fred))))&
(((~happy(fred)|quiet(fred)))<=>(?[X]:(~happy(X))))&
((?[X]:((humble(X)&~kind(X))))<=>(?[X]:((curious(X)|... | kind(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5779137263177481714496751
% SZS output start Proof for 5779137263177481714496751
21. kind(fred) & ~calm(fred) [input p20]
24. ~kind(fred) [input hypothesis]
128. kind(fred) [cnf transformation 21]
133. ~kind(fred) [cnf transformation 24]
208. 17 <=> kind(fred) [avatar definition]
262. 17 ... | 0 |
If someone is rich then lucy is either not generous or kind.
If someone is tall then fred is patient and vice versa.
If someone is both humble and not patient then someone is both not brave and kind.
If someone is either brave or creative then mary is not brave or not patient and vice versa.
If someone is both not curi... | Fred is old. | neutral | ((?[X]:(rich(X)))=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:(tall(X)))<=>(patient(fred)))&
((?[X]:((humble(X)&~patient(X))))=>(?[X]:((~brave(X)&kind(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>((~brave(mary)|~patient(mary))))&
((?[X]:((~curious(X)&~quiet(X))))<=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:((~patient(X)<~>~g... | old(fred) | [] | null | 0 |
Everyone who is generous is either happy or tall. Everyone who is brave or old is either not curious or creative and vice versa. Everyone who is not funny or not wise is both not rich and not wise and vice versa. If someone is either not rich or not old then mary is both funny and not creative and vice versa. If john i... | Fred is not brave. | entailment | (![X]:(generous(X)=>(happy(X)<~>tall(X))))&
(![X]:((brave(X)|old(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~funny(X)|~wise(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>((funny(mary)&~creative(mary))))&
(((~kind(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~generous(X)<=>(generous(X)... | ~brave(fred) | [
"p1",
"p2",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4721073703180262168820597
% SZS output start Proof for 4721073703180262168820597
2. ! [X0] : ((old(X0) | brave(X0)) <=> (~curious(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~funny(X0)) <=> (~wise(X0) & ~rich(X0))) [input p2]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & g... | 0 |
If lucy is old or humble then someone is funny or not rich and vice versa.
Everyone who is not curious is humble and vice versa.
Everyone who is kind or not patient is either rich or not quiet and vice versa.
Everyone who is both humble and not happy is both not wise and brave.
If someone is either not curious or brave... | Lucy is humble. | neutral | (((old(lucy)|humble(lucy)))<=>(?[X]:((funny(X)|~rich(X)))))&
(![X]:(~curious(X)<=>humble(X)))&
(![X]:((kind(X)|~patient(X))<=>(rich(X)<~>~quiet(X))))&
(![X]:((humble(X)&~happy(X))=>(~wise(X)&brave(X))))&
((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(((patient(paul)&~wise(paul)))<=>(?[X]:((~ric... | humble(lucy) | [] | null | 0 |
Everyone who is not patient is calm. If paul is happy then someone is both not tall and not generous and vice versa. If susan is both generous and quiet then alice is both not calm and not tall and vice versa. Everyone who is not patient is not patient or patient. Everyone who is quiet is generous and vice versa. If so... | Fred is calm. | neutral | (![X]:(~patient(X)=>calm(X)))&
((happy(paul))<=>(?[X]:((~tall(X)&~generous(X)))))&
(((generous(susan)&quiet(susan)))<=>((~calm(alice)&~tall(alice))))&
(![X]:(~patient(X)=>(~patient(X)|patient(X))))&
(![X]:(quiet(X)<=>generous(X)))&
((?[X]:((~brave(X)&~humble(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~humble(X)))<=>((~curiou... | calm(fred) | [] | null | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | John is not tall. | neutral | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | ~tall(john) | [] | null | 0 |
Everyone who is happy or not patient is not humble and vice versa.
If someone is creative then alice is strong and vice versa.
If lucy is not wise or generous then john is curious and vice versa.
If paul is not tall or tall then paul is not wise or happy.
If someone is not tall then susan is not old or not generous.
Ev... | Lucy is not brave. | entailment | (![X]:((happy(X)|~patient(X))<=>~humble(X)))&
((?[X]:(creative(X)))<=>(strong(alice)))&
(((~wise(lucy)|generous(lucy)))<=>(curious(john)))&
(((~tall(paul)|tall(paul)))=>((~wise(paul)|happy(paul))))&
((?[X]:(~tall(X)))=>((~old(susan)|~generous(susan))))&
(![X]:((humble(X)<~>tall(X))<=>(~generous(X)&~strong(X))))&
(![X]:... | ~brave(lucy) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1316289273372391610816781
% SZS output start Proof for 1316289273372391610816781
1. ! [X0] : ((~patient(X0) | happy(X0)) <=> ~humble(X0)) [input p0]
7. ! [X0] : (~humble(X0) <=> ~brave(X0)) [input p6]
12. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~patient(X0)) [input p11]
24. brave(lucy) [in... | 0 |
If fred is either not happy or not curious then someone is generous and vice versa.
Everyone who is not curious or humble is either not happy or rich.
If someone is not generous or strong then mary is both strong and not humble.
If someone is both creative and not calm then fred is patient or not strong.
Everyone who i... | John is not tall. | entailment | (((~happy(fred)<~>~curious(fred)))<=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|humble(X))=>(~happy(X)<~>rich(X))))&
((?[X]:((~generous(X)|strong(X))))=>((strong(mary)&~humble(mary))))&
((?[X]:((creative(X)&~calm(X))))=>((patient(fred)|~strong(fred))))&
(![X]:((kind(X)|~strong(X))<=>(~generous(X)|~rich(X))))&
(((tall(m... | ~tall(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2066453258750177153938391
% SZS output start Proof for 2066453258750177153938391
13. ! [X0] : ((~kind(X0) | kind(X0)) => (~tall(X0) & funny(X0))) [input p12]
24. tall(john) [input hypothesis]
34. ! [X0] : ((~tall(X0) & funny(X0)) | (kind(X0) & ~kind(X0))) [ennf transformation 13]
117. ~ta... | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is either not old or funny then someone is either rich or not curious and vice versa.
Everyone who is not curious or patient is either happy or funny and vice versa.
Everyone who is no... | Fred is not patient. | neutral | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)<~>funny(X))))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~curious(X)|patient(X))<=>(happy(X)<~>funny(X))))&
(![X]:(~generous(X)<=>(curious(X)&~old(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:... | ~patient(fred) | [] | null | 0 |
Everyone who is either not creative or not strong is either not generous or brave and vice versa.
Everyone who is either rich or not rich is both not quiet and kind and vice versa.
Everyone who is not old is patient.
Everyone who is either not strong or not humble is either not curious or not quiet and vice versa.
If s... | Mary is not creative. | neutral | (![X]:((~creative(X)<~>~strong(X))<=>(~generous(X)<~>brave(X))))&
(![X]:((rich(X)<~>~rich(X))<=>(~quiet(X)&kind(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((~strong(X)<~>~humble(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>((patient(alice)<~>creative(alice))))&
((?[X]:((patient(X)&happy(X))))=>(... | ~creative(mary) | [] | null | 0 |
Everyone who is both not generous and strong is either humble or funny.
If lucy is humble or not generous then mary is humble.
Everyone who is not kind is both curious and old.
If mary is quiet or not generous then mary is either humble or not humble and vice versa.
If lucy is brave or not patient then susan is brave o... | Mary is creative. | entailment | (![X]:((~generous(X)&strong(X))=>(humble(X)<~>funny(X))))&
(((humble(lucy)|~generous(lucy)))=>(humble(mary)))&
(![X]:(~kind(X)=>(curious(X)&old(X))))&
(((quiet(mary)|~generous(mary)))<=>((humble(mary)<~>~humble(mary))))&
(((brave(lucy)|~patient(lucy)))<=>((brave(susan)|calm(susan))))&
(((creative(alice)<~>~calm(alice))... | creative(mary) | [
"p0",
"p1",
"p6",
"p7",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9213528405295127795373195
% SZS output start Proof for 9213528405295127795373195
1. ! [X0] : ((strong(X0) & ~generous(X0)) => (humble(X0) <~> funny(X0))) [input p0]
2. (~generous(lucy) | humble(lucy)) => humble(mary) [input p1]
7. ! [X0] : (creative(X0) <=> (rich(X0) & ~strong(X0))) [inpu... | 0 |
Everyone who is not creative is not old.
If john is not brave or brave then fred is either not patient or not wise and vice versa.
Everyone who is both rich and curious is humble or calm.
If someone is either humble or not calm then someone is either not curious or not tall and vice versa.
Everyone who is not strong is... | Fred is not generous. | neutral | (![X]:(~creative(X)=>~old(X)))&
(((~brave(john)|brave(john)))<=>((~patient(fred)<~>~wise(fred))))&
(![X]:((rich(X)&curious(X))=>(humble(X)|calm(X))))&
((?[X]:((humble(X)<~>~calm(X))))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:(~strong(X)=>~tall(X)))&
((?[X]:((~funny(X)<~>funny(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
(!... | ~generous(fred) | [] | null | 0 |
If someone is not rich then someone is not wise or not funny and vice versa.
Everyone who is not quiet is not humble and vice versa.
If mary is both not funny and strong then someone is either calm or not strong and vice versa.
Everyone who is happy or curious is not funny or happy.
If someone is old then susan is both... | Paul is not generous. | entailment | ((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:(~quiet(X)<=>~humble(X)))&
(((~funny(mary)&strong(mary)))<=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((happy(X)|curious(X))=>(~funny(X)|happy(X))))&
((?[X]:(old(X)))=>((generous(susan)&~generous(susan))))&
(![X]:(~quiet(X)<=>(~rich(X)&humble(X))))&
((?[X]:(old(X... | ~generous(paul) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3054788199955259052213896
% SZS output start Proof for 3054788199955259052213896
1. ? [X0] : ~rich(X0) <=> ? [X0] : (~funny(X0) | ~wise(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> ~humble(X0)) [input p1]
3. (strong(mary) & ~funny(mary)) <=> ? [X0] : (calm(X0) <~> ~strong(X0)) [input p2]
6... | 0 |
If someone is either tall or not humble then susan is either not quiet or not tall.
If someone is tall then susan is either generous or rich.
Everyone who is both happy and not kind is both rich and not quiet and vice versa.
If someone is not creative then john is not tall or not brave and vice versa.
If john is funny ... | John is happy. | contradiction | ((?[X]:((tall(X)<~>~humble(X))))=>((~quiet(susan)<~>~tall(susan))))&
((?[X]:(tall(X)))=>((generous(susan)<~>rich(susan))))&
(![X]:((happy(X)&~kind(X))<=>(rich(X)&~quiet(X))))&
((?[X]:(~creative(X)))<=>((~tall(john)|~brave(john))))&
(((funny(john)|humble(john)))<=>(~happy(susan)))&
(![X]:(~generous(X)=>patient(X)))&
((?... | happy(john) | [
"p2",
"p5",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7534906751107395592238472
% SZS output start Proof for 7534906751107395592238472
3. ! [X0] : ((~kind(X0) & happy(X0)) <=> (~quiet(X0) & rich(X0))) [input p2]
6. ! [X0] : (~generous(X0) => patient(X0)) [input p5]
10. ! [X0] : ((curious(X0) | generous(X0)) => (~curious(X0) & ~kind(X0))) [in... | 0 |
If paul is either not curious or patient then fred is either humble or not happy. Everyone who is not curious is either not strong or happy. If someone is both not calm and creative then paul is either not funny or not curious. Everyone who is both not tall and old is not funny or not curious. Everyone who is both not ... | Fred is tall. | entailment | (((~curious(paul)<~>patient(paul)))=>((humble(fred)<~>~happy(fred))))&
(![X]:(~curious(X)=>(~strong(X)<~>happy(X))))&
((?[X]:((~calm(X)&creative(X))))=>((~funny(paul)<~>~curious(paul))))&
(![X]:((~tall(X)&old(X))=>(~funny(X)|~curious(X))))&
(![X]:((~brave(X)&~quiet(X))<=>~wise(X)))&
((?[X]:((wise(X)&~funny(X))))=>((~fu... | tall(fred) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6749863890344280566862528
% SZS output start Proof for 6749863890344280566862528
11. ? [X0] : (funny(X0) | ~patient(X0)) <=> tall(fred) [input p10]
22. ? [X0] : funny(X0) [input p21]
24. ~tall(fred) [input hypothesis]
46. (? [X0] : (funny(X0) | ~patient(X0)) | ~tall(fred)) & (tall(fred) |... | 0 |
Everyone who is wise or not tall is not kind or not happy and vice versa. Everyone who is either not patient or not kind is brave. If someone is either strong or not quiet then alice is both not strong and not wise and vice versa. Everyone who is brave or strong is humble or curious and vice versa. If fred is either no... | Fred is old. | neutral | (![X]:((wise(X)|~tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~patient(X)<~>~kind(X))=>brave(X)))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((~strong(alice)&~wise(alice))))&
(![X]:((brave(X)|strong(X))<=>(humble(X)|curious(X))))&
(((~creative(fred)<~>~humble(fred)))<=>((~happy(paul)<~>old(paul))))&
(((~wise(susan)<~>~tall(sus... | old(fred) | [] | null | 0 |
If alice is either humble or not tall then someone is both not humble and not happy.
If alice is quiet or not creative then john is both quiet and brave.
Everyone who is either not brave or wise is strong and vice versa.
If alice is strong then someone is not curious and vice versa.
If lucy is not happy then susan is n... | Fred is not patient. | contradiction | (((humble(alice)<~>~tall(alice)))=>(?[X]:((~humble(X)&~happy(X)))))&
(((quiet(alice)|~creative(alice)))=>((quiet(john)&brave(john))))&
(![X]:((~brave(X)<~>wise(X))<=>strong(X)))&
((strong(alice))<=>(?[X]:(~curious(X))))&
((~happy(lucy))=>((~patient(susan)|~happy(susan))))&
(![X]:((~brave(X)&patient(X))<=>(~patient(X)|~... | ~patient(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8173118531728440169137935
% SZS output start Proof for 8173118531728440169137935
6. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p5]
25. ~patient(fred) [input hypothesis]
47. ! [X0] : (((patient(X0) & ~brave(X0)) | (quiet(X0) & patient(X0))) & ((~quiet(X0) ... | 0 |
If fred is either happy or humble then someone is brave.
Everyone who is strong is creative and vice versa.
Everyone who is rich is both generous and creative and vice versa.
If someone is not curious then alice is both not tall and not calm and vice versa.
If fred is both strong and rich then someone is funny.
Everyon... | Lucy is wise. | contradiction | (((happy(fred)<~>humble(fred)))=>(?[X]:(brave(X))))&
(![X]:(strong(X)<=>creative(X)))&
(![X]:(rich(X)<=>(generous(X)&creative(X))))&
((?[X]:(~curious(X)))<=>((~tall(alice)&~calm(alice))))&
(((strong(fred)&rich(fred)))=>(?[X]:(funny(X))))&
(![X]:((~brave(X)&generous(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~t... | wise(lucy) | [
"p1",
"p5",
"p11",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4353164582173594726925739
% SZS output start Proof for 4353164582173594726925739
2. ! [X0] : (strong(X0) <=> creative(X0)) [input p1]
6. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (~funny(X0) <~> ~happy(X0))) [input p5]
12. ! [X0] : (~funny(X0) <=> (~rich(X0) & creative(X0))) [input p11]
1... | 0 |
If lucy is not tall or generous then someone is both not strong and not tall.
If mary is either not calm or humble then someone is either not generous or tall and vice versa.
If someone is both brave and not quiet then someone is both not strong and calm and vice versa.
Everyone who is either funny or not kind is creat... | Paul is not patient. | contradiction | (((~tall(lucy)|generous(lucy)))=>(?[X]:((~strong(X)&~tall(X)))))&
(((~calm(mary)<~>humble(mary)))<=>(?[X]:((~generous(X)<~>tall(X)))))&
((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:((~strong(X)&calm(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(creative(X)|strong(X))))&
(![X]:(funny(X)=>humble(X)))&
(![X]:((curious(X)<~>patient(X)... | ~patient(paul) | [
"p2",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9079939061407766310833297
% SZS output start Proof for 9079939061407766310833297
3. ? [X0] : (~quiet(X0) & brave(X0)) <=> ? [X0] : (calm(X0) & ~strong(X0)) [input p2]
7. ! [X0] : (strong(X0) <=> calm(X0)) [input p6]
8. ! [X0] : (patient(X0) <=> (humble(X0) | quiet(X0))) [input p7]
12. ! [... | 0 |
Everyone who is not funny or kind is both not quiet and creative and vice versa.
Everyone who is not quiet or patient is both generous and not calm and vice versa.
If someone is humble then someone is not calm or not old and vice versa.
Everyone who is both not old and strong is either kind or tall.
If someone is brave... | Paul is not old. | contradiction | (![X]:((~funny(X)|kind(X))<=>(~quiet(X)&creative(X))))&
(![X]:((~quiet(X)|patient(X))<=>(generous(X)&~calm(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~old(X)&strong(X))=>(kind(X)<~>tall(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((rich(X)|~funny(X)))))&
((?[X]:((~calm(X)&strong(X))))<=>(?[X]:((... | ~old(paul) | [
"p0",
"p1",
"p9",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7662207012215984632278681
% SZS output start Proof for 7662207012215984632278681
1. ! [X0] : ((kind(X0) | ~funny(X0)) <=> (creative(X0) & ~quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) | ~quiet(X0)) <=> (~calm(X0) & generous(X0))) [input p1]
10. ? [X0] : (~kind(X0) <~> calm(X0)) => (ge... | 0 |
If someone is both brave and rich then alice is either humble or patient and vice versa.
If someone is not funny then susan is not kind and vice versa.
If mary is either funny or not funny then fred is not funny or wise.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is eit... | Lucy is kind. | neutral | ((?[X]:((brave(X)&rich(X))))<=>((humble(alice)<~>patient(alice))))&
((?[X]:(~funny(X)))<=>(~kind(susan)))&
(((funny(mary)<~>~funny(mary)))=>((~funny(fred)|wise(fred))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~... | kind(lucy) | [] | null | 0 |
If someone is tall or kind then alice is both not patient and not strong and vice versa. Everyone who is both not quiet and not curious is kind or curious and vice versa. If someone is old then fred is not humble and vice versa. Everyone who is tall is generous and vice versa. If someone is both curious and funny then ... | Alice is not kind. | entailment | ((?[X]:((tall(X)|kind(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((~quiet(X)&~curious(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>(~humble(fred)))&
(![X]:(tall(X)<=>generous(X)))&
((?[X]:((curious(X)&funny(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((~wise(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~calm(X)... | ~kind(alice) | [
"p0",
"p1",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2080652828605100461201585
% SZS output start Proof for 2080652828605100461201585
1. ? [X0] : (kind(X0) | tall(X0)) <=> (~strong(alice) & ~patient(alice)) [input p0]
2. ! [X0] : ((~curious(X0) & ~quiet(X0)) <=> (curious(X0) | kind(X0))) [input p1]
3. ? [X0] : old(X0) <=> ~humble(fred) [inp... | 0 |
Everyone who is creative or not wise is brave and vice versa.
If susan is either quiet or old then someone is not brave or not kind and vice versa.
If fred is not tall then someone is funny or calm.
If fred is patient then someone is either not patient or tall.
Everyone who is quiet is both brave and wise and vice vers... | Mary is kind. | contradiction | (![X]:((creative(X)|~wise(X))<=>brave(X)))&
(((quiet(susan)<~>old(susan)))<=>(?[X]:((~brave(X)|~kind(X)))))&
((~tall(fred))=>(?[X]:((funny(X)|calm(X)))))&
((patient(fred))=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:(quiet(X)<=>(brave(X)&wise(X))))&
(![X]:(~humble(X)<=>(calm(X)&~creative(X))))&
(((rich(susan)|~patient(su... | kind(mary) | [
"p0",
"p4",
"p8",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2462196410306966598239572
% SZS output start Proof for 2462196410306966598239572
1. ! [X0] : ((~wise(X0) | creative(X0)) <=> brave(X0)) [input p0]
5. ! [X0] : (quiet(X0) <=> (wise(X0) & brave(X0))) [input p4]
9. ! [X0] : (~creative(X0) <=> (~kind(X0) | quiet(X0))) [input p8]
16. ! [X0] : ... | 0 |
Everyone who is funny or humble is humble and vice versa. Everyone who is not tall is not calm or not tall. Everyone who is both not funny and not curious is not generous or generous. 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 bot... | Susan is not quiet. | contradiction | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:(~tall(X)=>(~calm(X)|~tall(X))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(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(pa... | ~quiet(susan) | [
"p7",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 435646347431025894245305
% SZS output start Proof for 435646347431025894245305
8. ! [X0] : (~calm(X0) <=> rich(X0)) [input p7]
11. ! [X0] : (tall(X0) => (patient(X0) | ~kind(X0))) [input p10]
12. ! [X0] : ((calm(X0) | ~tall(X0)) => calm(X0)) [input p11]
13. ! [X0] : (~kind(X0) <=> (calm(X... | 0 |
Everyone who is old is either creative or not wise.
If someone is not happy or wise then lucy is not strong.
Everyone who is both brave and not happy is not humble and vice versa.
Everyone who is either not generous or happy is not tall and vice versa.
If lucy is tall then someone is either not tall or kind and vice ve... | Lucy is brave. | contradiction | (![X]:(old(X)=>(creative(X)<~>~wise(X))))&
((?[X]:((~happy(X)|wise(X))))=>(~strong(lucy)))&
(![X]:((brave(X)&~happy(X))<=>~humble(X)))&
(![X]:((~generous(X)<~>happy(X))<=>~tall(X)))&
((tall(lucy))<=>(?[X]:((~tall(X)<~>kind(X)))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((humble(X)&~kind(... | brave(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 777314211023152632452969
% SZS output start Proof for 777314211023152632452969
3. ! [X0] : ((~happy(X0) & brave(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : ((~generous(X0) <~> happy(X0)) <=> ~tall(X0)) [input p3]
5. tall(lucy) <=> ? [X0] : (~tall(X0) <~> kind(X0)) [input p4]
7. ! [X0] : ... | 0 |
Everyone who is strong is not generous or not strong and vice versa.
Everyone who is creative or not creative is funny or strong.
Everyone who is either not creative or patient is not wise or not calm and vice versa.
Everyone who is both not old and not generous is quiet.
Everyone who is both not funny and tall is kind... | John is not wise. | entailment | (![X]:(strong(X)<=>(~generous(X)|~strong(X))))&
(![X]:((creative(X)|~creative(X))=>(funny(X)|strong(X))))&
(![X]:((~creative(X)<~>patient(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~old(X)&~generous(X))=>quiet(X)))&
(![X]:((~funny(X)&tall(X))<=>kind(X)))&
((old(fred))<=>((~patient(john)|brave(john))))&
(((~calm(alice)&patien... | ~wise(john) | [
"p0",
"p2",
"p4",
"p8",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7681238138476791515806967
% SZS output start Proof for 7681238138476791515806967
1. ! [X0] : (strong(X0) <=> (~strong(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((~creative(X0) <~> patient(X0)) <=> (~calm(X0) | ~wise(X0))) [input p2]
5. ! [X0] : ((tall(X0) & ~funny(X0)) <=> kind(X0)) [i... | 0 |
If someone is not wise then someone is both not patient and not kind.
If lucy is calm or creative then susan is happy or old.
If susan is generous or humble then susan is either not humble or not patient.
If fred is patient or strong then fred is either not old or not quiet and vice versa.
If john is both not curious a... | Susan is not quiet. | entailment | ((?[X]:(~wise(X)))=>(?[X]:((~patient(X)&~kind(X)))))&
(((calm(lucy)|creative(lucy)))=>((happy(susan)|old(susan))))&
(((generous(susan)|humble(susan)))=>((~humble(susan)<~>~patient(susan))))&
(((patient(fred)|strong(fred)))<=>((~old(fred)<~>~quiet(fred))))&
(((~curious(john)&~strong(john)))=>(?[X]:((~creative(X)&generou... | ~quiet(susan) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 458675683571426329655356
% SZS output start Proof for 458675683571426329655356
11. ! [X0] : ((rich(X0) | quiet(X0)) <=> ~generous(X0)) [input p10]
20. generous(susan) [input p19]
25. quiet(susan) [input hypothesis]
51. ! [X0] : (((rich(X0) | quiet(X0)) | generous(X0)) & (~generous(X0) | (... | 0 |
Everyone who is either curious or strong is rich and vice versa. Everyone who is curious is both not quiet and wise and vice versa. Everyone who is not calm or not strong is both not wise and funny. Everyone who is not brave is either brave or not happy. Everyone who is not happy or not creative is not strong and vice ... | Lucy is curious. | neutral | (![X]:((curious(X)<~>strong(X))<=>rich(X)))&
(![X]:(curious(X)<=>(~quiet(X)&wise(X))))&
(![X]:((~calm(X)|~strong(X))=>(~wise(X)&funny(X))))&
(![X]:(~brave(X)=>(brave(X)<~>~happy(X))))&
(![X]:((~happy(X)|~creative(X))<=>~strong(X)))&
(((happy(paul)<~>~old(paul)))<=>((tall(fred)<~>creative(fred))))&
(![X]:(~curious(X)=>(... | curious(lucy) | [] | null | 0 |
If susan is either not creative or calm then mary is both brave and not quiet and vice versa.
If mary is either not kind or generous then someone is happy.
If someone is both tall and funny then john is either not tall or not wise and vice versa.
If someone is not strong or creative then mary is not old and vice versa.... | John is not creative. | entailment | (((~creative(susan)<~>calm(susan)))<=>((brave(mary)&~quiet(mary))))&
(((~kind(mary)<~>generous(mary)))=>(?[X]:(happy(X))))&
((?[X]:((tall(X)&funny(X))))<=>((~tall(john)<~>~wise(john))))&
((?[X]:((~strong(X)|creative(X))))<=>(~old(mary)))&
(((~brave(fred)&~kind(fred)))=>((generous(john)|brave(john))))&
(![X]:((~humble(X... | ~creative(john) | [
"p3",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6205142820485335636368217
% SZS output start Proof for 6205142820485335636368217
4. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~old(mary) [input p3]
6. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (humble(X0) & wise(X0))) [input p5]
11. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> old(X0)) [input p10]... | 0 |
Everyone who is either not kind or rich is not calm and vice versa.
Everyone who is both old and not kind is not old and vice versa.
If someone is strong or not old then someone is not wise or wise.
Everyone who is not happy or tall is both brave and funny.
Everyone who is happy or not quiet is both not humble and kind... | Alice is brave. | neutral | (![X]:((~kind(X)<~>rich(X))<=>~calm(X)))&
(![X]:((old(X)&~kind(X))<=>~old(X)))&
((?[X]:((strong(X)|~old(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~happy(X)|tall(X))=>(brave(X)&funny(X))))&
(![X]:((happy(X)|~quiet(X))=>(~humble(X)&kind(X))))&
((~tall(alice))=>(?[X]:((rich(X)|curious(X)))))&
((?[X]:((wise(X)|creative(... | brave(alice) | [] | null | 0 |
Everyone who is not brave or not quiet is both not calm and rich and vice versa.
If john is not funny or not old then john is creative or not old.
If alice is quiet or not tall then lucy is not quiet or patient.
Everyone who is either wise or not humble is not brave or not rich.
Everyone who is either creative or curio... | John is rich. | entailment | (![X]:((~brave(X)|~quiet(X))<=>(~calm(X)&rich(X))))&
(((~funny(john)|~old(john)))=>((creative(john)|~old(john))))&
(((quiet(alice)|~tall(alice)))=>((~quiet(lucy)|patient(lucy))))&
(![X]:((wise(X)<~>~humble(X))=>(~brave(X)|~rich(X))))&
(![X]:((creative(X)<~>curious(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)&funny(X))... | rich(john) | [
"p0",
"p5",
"p11",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 39500172778825390596599
% SZS output start Proof for 39500172778825390596599
1. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (rich(X0) & ~calm(X0))) [input p0]
6. ! [X0] : ((funny(X0) & ~quiet(X0)) <=> (~old(X0) <~> rich(X0))) [input p5]
12. ! [X0] : ((happy(X0) & ~old(X0)) <=> (~patient(X0) <... | 0 |
If paul is not quiet or tall then susan is not strong.
If someone is not brave or kind then fred is both not brave and not creative and vice versa.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is n... | John is not happy. | neutral | (((~quiet(paul)|tall(paul)))=>(~strong(susan)))&
((?[X]:((~brave(X)|kind(X))))<=>((~brave(fred)&~creative(fred))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quie... | ~happy(john) | [] | null | 0 |
If paul is both not strong and not wise then someone is brave or generous. Everyone who is calm or generous is quiet and vice versa. If paul is strong then someone is both humble and creative. If susan is patient or old then alice is either happy or patient and vice versa. If someone is creative then someone is both hu... | Susan is happy. | contradiction | (((~strong(paul)&~wise(paul)))=>(?[X]:((brave(X)|generous(X)))))&
(![X]:((calm(X)|generous(X))<=>quiet(X)))&
((strong(paul))=>(?[X]:((humble(X)&creative(X)))))&
(((patient(susan)|old(susan)))<=>((happy(alice)<~>patient(alice))))&
((?[X]:(creative(X)))<=>(?[X]:((humble(X)&brave(X)))))&
((?[X]:((~generous(X)&creative(X))... | happy(susan) | [
"p1",
"p6",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6594333819325924644800550
% SZS output start Proof for 6594333819325924644800550
2. ! [X0] : ((generous(X0) | calm(X0)) <=> quiet(X0)) [input p1]
7. ! [X0] : ((old(X0) | happy(X0)) => (curious(X0) | quiet(X0))) [input p6]
13. ! [X0] : (~calm(X0) => (~generous(X0) | calm(X0))) [input p12]
... | 0 |
Everyone who is either not quiet or not generous is either not strong or calm. Everyone who is both old and not generous is either old or humble. If someone is both tall and not wise then someone is not humble or not calm and vice versa. If paul is not calm then someone is brave. Everyone who is either not calm or not ... | Alice is not tall. | neutral | (![X]:((~quiet(X)<~>~generous(X))=>(~strong(X)<~>calm(X))))&
(![X]:((old(X)&~generous(X))=>(old(X)<~>humble(X))))&
((?[X]:((tall(X)&~wise(X))))<=>(?[X]:((~humble(X)|~calm(X)))))&
((~calm(paul))=>(?[X]:(brave(X))))&
(![X]:((~calm(X)<~>~happy(X))=>(old(X)<~>calm(X))))&
(![X]:(~old(X)<=>(patient(X)<~>curious(X))))&
(((~cr... | ~tall(alice) | [] | null | 0 |
Everyone who is not funny or rich is either rich or brave.
Everyone who is both not generous and wise is both tall and not curious.
Everyone who is not brave or patient is humble.
Everyone who is happy or rich is either calm or creative.
If someone is humble or not funny then someone is not tall or wise and vice versa.... | Paul is rich. | contradiction | (![X]:((~funny(X)|rich(X))=>(rich(X)<~>brave(X))))&
(![X]:((~generous(X)&wise(X))=>(tall(X)&~curious(X))))&
(![X]:((~brave(X)|patient(X))=>humble(X)))&
(![X]:((happy(X)|rich(X))=>(calm(X)<~>creative(X))))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
(((~kind(john)&~tall(john)))=>(?[X]:(~patient(X)))... | rich(paul) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8586522709537316320845445
% SZS output start Proof for 8586522709537316320845445
1. ! [X0] : ((rich(X0) | ~funny(X0)) => (rich(X0) <~> brave(X0))) [input p0]
19. brave(paul) [input p18]
24. rich(paul) [input hypothesis]
30. ! [X0] : ((rich(X0) <~> brave(X0)) | (~rich(X0) & funny(X0))) [en... | 0 |
Everyone who is either kind or not brave is tall.
If susan is both not happy and strong then fred is not old.
If someone is not humble or not quiet then someone is both strong and not wise and vice versa.
Everyone who is brave is not happy or patient and vice versa.
If someone is happy or kind then someone is not wise ... | Mary is not curious. | neutral | (![X]:((kind(X)<~>~brave(X))=>tall(X)))&
(((~happy(susan)&strong(susan)))=>(~old(fred)))&
((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(brave(X)<=>(~happy(X)|patient(X))))&
((?[X]:((happy(X)|kind(X))))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)<~>calm(X))<=>~quiet(X)))&
(![X]:((~patient(X)<~>h... | ~curious(mary) | [] | null | 0 |
Everyone who is both rich and not rich is both strong and not strong and vice versa.
Everyone who is not quiet is both not generous and kind.
Everyone who is either curious or quiet is both not quiet and quiet and vice versa.
Everyone who is strong is either curious or not creative and vice versa.
If fred is either ric... | John is not calm. | neutral | (![X]:((rich(X)&~rich(X))<=>(strong(X)&~strong(X))))&
(![X]:(~quiet(X)=>(~generous(X)&kind(X))))&
(![X]:((curious(X)<~>quiet(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(strong(X)<=>(curious(X)<~>~creative(X))))&
(((rich(fred)<~>~strong(fred)))=>(?[X]:((~patient(X)|~generous(X)))))&
((?[X]:(brave(X)))<=>(?[X]:((humble(X)&~quie... | ~calm(john) | [] | null | 0 |
Everyone who is not creative or kind is curious. If someone is humble or strong then lucy is either not patient or not strong and vice versa. Everyone who is either brave or old is either happy or old and vice versa. If susan is both funny and patient then someone is not brave or not quiet and vice versa. Everyone who ... | John is not generous. | neutral | (![X]:((~creative(X)|kind(X))=>curious(X)))&
((?[X]:((humble(X)|strong(X))))<=>((~patient(lucy)<~>~strong(lucy))))&
(![X]:((brave(X)<~>old(X))<=>(happy(X)<~>old(X))))&
(((funny(susan)&patient(susan)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:((creative(X)|wise(X))=>(~patient(X)<~>strong(X))))&
(![X]:(creative(X)=>(~cre... | ~generous(john) | [] | null | 0 |
Everyone who is both happy and kind is curious. Everyone who is humble is either wise or not kind and vice versa. Everyone who is either not brave or not funny is either not happy or not patient. If someone is either not calm or happy then someone is not funny or not patient and vice versa. If fred is kind then someone... | Mary is not calm. | contradiction | (![X]:((happy(X)&kind(X))=>curious(X)))&
(![X]:(humble(X)<=>(wise(X)<~>~kind(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(~happy(X)<~>~patient(X))))&
((?[X]:((~calm(X)<~>happy(X))))<=>(?[X]:((~funny(X)|~patient(X)))))&
((kind(fred))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(~rich(X)|~calm(X)))... | ~calm(mary) | [
"p7",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5117963948389378061932271
% SZS output start Proof for 5117963948389378061932271
8. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (~calm(X0) <~> generous(X0))) [input p7]
12. ! [X0] : ((~old(X0) & strong(X0)) <=> (strong(X0) & brave(X0))) [input p11]
13. ! [X0] : ((brave(X0) | ~strong(X0)) => (... | 0 |
Everyone who is either not wise or curious is not tall.
Everyone who is either rich or not brave is both not quiet and patient.
Everyone who is both old and not brave is not old or brave.
Everyone who is not strong is old or not brave and vice versa.
If john is both not funny and not happy then paul is both patient and... | John is not curious. | entailment | (![X]:((~wise(X)<~>curious(X))=>~tall(X)))&
(![X]:((rich(X)<~>~brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((old(X)&~brave(X))=>(~old(X)|brave(X))))&
(![X]:(~strong(X)<=>(old(X)|~brave(X))))&
(((~funny(john)&~happy(john)))=>((patient(paul)&creative(paul))))&
(![X]:((~tall(X)|~calm(X))=>~rich(X)))&
(((strong(mary)|old(ma... | ~curious(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1033354717035350770773173
% SZS output start Proof for 1033354717035350770773173
14. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (funny(X0) | curious(X0))) [input p13]
24. curious(john) [input hypothesis]
53. ! [X0] : (((~rich(X0) & ~curious(X0)) | (~funny(X0) & ~curious(X0))) & ((funny(X0) ... | 0 |
Everyone who is both happy and not rich is generous or not kind.
If someone is calm or not creative then fred is both brave and tall and vice versa.
If paul is either not happy or not strong then someone is rich.
Everyone who is not happy is curious or not patient.
If susan is either not funny or wise then paul is kind... | Mary is tall. | contradiction | (![X]:((happy(X)&~rich(X))=>(generous(X)|~kind(X))))&
((?[X]:((calm(X)|~creative(X))))<=>((brave(fred)&tall(fred))))&
(((~happy(paul)<~>~strong(paul)))=>(?[X]:(rich(X))))&
(![X]:(~happy(X)=>(curious(X)|~patient(X))))&
(((~funny(susan)<~>wise(susan)))<=>((kind(paul)|~rich(paul))))&
((tall(alice))<=>((rich(john)&~patient... | tall(mary) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7326692983870268706810876
% SZS output start Proof for 7326692983870268706810876
14. ! [X0] : (~tall(X0) <=> (quiet(X0) | ~funny(X0))) [input p13]
18. tall(mary) <~> ~quiet(mary) [input p17]
24. tall(mary) [input hypothesis]
67. ! [X0] : ((~tall(X0) | (~quiet(X0) & funny(X0))) & ((quiet(X... | 0 |
Everyone who is both not humble and happy is not wise.
Everyone who is either creative or patient is not quiet and vice versa.
Everyone who is old is both rich and not wise.
If someone is not generous or happy then someone is both old and not tall and vice versa.
If alice is both not curious and creative then someone i... | Paul is not old. | entailment | (![X]:((~humble(X)&happy(X))=>~wise(X)))&
(![X]:((creative(X)<~>patient(X))<=>~quiet(X)))&
(![X]:(old(X)=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:((old(X)&~tall(X)))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(!... | ~old(paul) | [
"p5",
"p7",
"p8",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6278669314720850534723384
% SZS output start Proof for 6278669314720850534723384
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & generous(X0)) <=> ~curious(X0)) [input p7]
9. ! [X0] : (~humble(X0) <=> (funny(X0) & ~wise(X0))) [input ... | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is calm and vice versa.
Everyone who is either happy or quiet is kind.
Everyone who is brave or funny is either not funny or kind.
If someone is rich or calm then someone is both humble and happy and vice versa.
If someone is ... | Lucy is not curious. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>calm(X)))&
(![X]:((happy(X)<~>quiet(X))=>kind(X)))&
(![X]:((brave(X)|funny(X))=>(~funny(X)<~>kind(X))))&
((?[X]:((rich(X)|calm(X))))<=>(?[X]:((humble(X)&happy(X)))))&
((?[X]:((~strong(X)<~>brave(X))))<=>((~happy(alice)&~curious(alice)))... | ~curious(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3507129239020684762208077
% SZS output start Proof for 3507129239020684762208077
10. ! [X0] : (~wise(X0) <=> (~curious(X0) | wise(X0))) [input p9]
25. curious(lucy) [input hypothesis]
56. ! [X0] : ((~wise(X0) | (curious(X0) & ~wise(X0))) & ((~curious(X0) | wise(X0)) | wise(X0))) [nnf tran... | 0 |
If someone is either rich or calm then susan is brave or patient. Everyone who is not old or patient is both not generous and old and vice versa. Everyone who is not quiet or not wise is both not kind and quiet and vice versa. Everyone who is either rich or happy is not strong and vice versa. If mary is wise or creativ... | Fred is quiet. | entailment | ((?[X]:((rich(X)<~>calm(X))))=>((brave(susan)|patient(susan))))&
(![X]:((~old(X)|patient(X))<=>(~generous(X)&old(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(~kind(X)&quiet(X))))&
(![X]:((rich(X)<~>happy(X))<=>~strong(X)))&
(((wise(mary)|creative(mary)))<=>((curious(fred)&~curious(fred))))&
(![X]:((~happy(X)|kind(X))<=>(~crea... | quiet(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6562760024647666140282598
% SZS output start Proof for 6562760024647666140282598
3. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (quiet(X0) & ~kind(X0))) [input p2]
23. ~quiet(fred) [input hypothesis]
37. ! [X0] : (((~wise(X0) | ~quiet(X0)) | (~quiet(X0) | kind(X0))) & ((quiet(X0) & ~kind(X0)) ... | 0 |
Everyone who is strong or quiet is strong. If alice is both not rich and patient then someone is tall or not strong and vice versa. If paul is kind then mary is rich and vice versa. If someone is not wise then paul is not kind or old. Everyone who is both wise and rich is both not patient and not calm and vice versa. E... | Paul is not kind. | entailment | (![X]:((strong(X)|quiet(X))=>strong(X)))&
(((~rich(alice)&patient(alice)))<=>(?[X]:((tall(X)|~strong(X)))))&
((kind(paul))<=>(rich(mary)))&
((?[X]:(~wise(X)))=>((~kind(paul)|old(paul))))&
(![X]:((wise(X)&rich(X))<=>(~patient(X)&~calm(X))))&
(![X]:((~strong(X)&old(X))=>(wise(X)<~>curious(X))))&
(![X]:(funny(X)=>(brave(X... | ~kind(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5230493526968403558503414
% SZS output start Proof for 5230493526968403558503414
21. ~kind(paul) [input p20]
24. kind(paul) [input hypothesis]
108. ~kind(paul) [cnf transformation 21]
112. kind(paul) [cnf transformation 24]
147. 8 <=> kind(paul) [avatar definition]
212. ~8 [avatar split c... | 0 |
Everyone who is not strong or not tall is both brave and not old and vice versa. If alice is not rich then john is either strong or generous and vice versa. Everyone who is not curious is either old or not quiet. If lucy is either patient or not tall then alice is either not strong or wise. If someone is both humble an... | Paul is tall. | neutral | (![X]:((~strong(X)|~tall(X))<=>(brave(X)&~old(X))))&
((~rich(alice))<=>((strong(john)<~>generous(john))))&
(![X]:(~curious(X)=>(old(X)<~>~quiet(X))))&
(((patient(lucy)<~>~tall(lucy)))=>((~strong(alice)<~>wise(alice))))&
((?[X]:((humble(X)&creative(X))))=>(?[X]:((quiet(X)&creative(X)))))&
(![X]:((kind(X)<~>~tall(X))<=>(... | tall(paul) | [] | null | 0 |
Everyone who is either not patient or calm is not kind or not rich.
Everyone who is either creative or wise is either old or not brave.
If fred is either not old or wise then someone is both not humble and not happy.
Everyone who is quiet or not brave is not funny and vice versa.
Everyone who is either not creative or ... | Fred is curious. | neutral | (![X]:((~patient(X)<~>calm(X))=>(~kind(X)|~rich(X))))&
(![X]:((creative(X)<~>wise(X))=>(old(X)<~>~brave(X))))&
(((~old(fred)<~>wise(fred)))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((quiet(X)|~brave(X))<=>~funny(X)))&
(![X]:((~creative(X)<~>~quiet(X))<=>(calm(X)<~>~rich(X))))&
(![X]:((patient(X)<~>creative(X))<=>(quiet... | curious(fred) | [] | null | 0 |
Everyone who is both curious and not strong is either wise or creative. If alice is not creative or strong then someone is tall and vice versa. Everyone who is both not rich and not calm is either creative or old. If someone is not old or quiet then someone is not patient and vice versa. Everyone who is either not crea... | Mary is wise. | entailment | (![X]:((curious(X)&~strong(X))=>(wise(X)<~>creative(X))))&
(((~creative(alice)|strong(alice)))<=>(?[X]:(tall(X))))&
(![X]:((~rich(X)&~calm(X))=>(creative(X)<~>old(X))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~wise(X)|~quiet(X))))&
((~quiet(paul))=>(?[X]:((tall(X)<~>br... | wise(mary) | [
"p4",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9167674431752147012201851
% SZS output start Proof for 9167674431752147012201851
5. ! [X0] : ((~creative(X0) <~> ~rich(X0)) <=> (~quiet(X0) | ~wise(X0))) [input p4]
9. ! [X0] : (~rich(X0) => (~patient(X0) & rich(X0))) [input p8]
16. ! [X0] : ((~strong(X0) | ~creative(X0)) => calm(X0)) [in... | 0 |
If someone is kind then fred is either not happy or not humble and vice versa.
If paul is not strong or wise then someone is both generous and humble and vice versa.
Everyone who is not brave or kind is not rich and vice versa.
If someone is not humble then someone is not generous and vice versa.
If fred is wise then p... | Mary is tall. | contradiction | ((?[X]:(kind(X)))<=>((~happy(fred)<~>~humble(fred))))&
(((~strong(paul)|wise(paul)))<=>(?[X]:((generous(X)&humble(X)))))&
(![X]:((~brave(X)|kind(X))<=>~rich(X)))&
((?[X]:(~humble(X)))<=>(?[X]:(~generous(X))))&
((wise(fred))=>((~quiet(paul)&~old(paul))))&
((?[X]:((generous(X)<~>~generous(X))))<=>(rich(mary)))&
(((~funny... | tall(mary) | [
"p2",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2806277530919648837800517
% SZS output start Proof for 2806277530919648837800517
3. ! [X0] : ((kind(X0) | ~brave(X0)) <=> ~rich(X0)) [input p2]
6. ? [X0] : (generous(X0) <~> ~generous(X0)) <=> rich(mary) [input p5]
15. ! [X0] : (tall(X0) => (curious(X0) & kind(X0))) [input p14]
24. tall(m... | 0 |
If lucy is not curious then someone is both not curious and kind.
Everyone who is patient or brave is calm.
Everyone who is both not rich and not funny is curious or strong.
If someone is not calm then lucy is calm and vice versa.
Everyone who is strong or kind is either creative or not creative and vice versa.
Everyon... | Fred is happy. | contradiction | ((~curious(lucy))=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((patient(X)|brave(X))=>calm(X)))&
(![X]:((~rich(X)&~funny(X))=>(curious(X)|strong(X))))&
((?[X]:(~calm(X)))<=>(calm(lucy)))&
(![X]:((strong(X)|kind(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((patient(X)<~>creative(X))<=>(rich(X)&~old(X))))&
(((~calm(alice)<~>... | happy(fred) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6012587906110015685937622
% SZS output start Proof for 6012587906110015685937622
2. ! [X0] : ((brave(X0) | patient(X0)) => calm(X0)) [input p1]
4. ? [X0] : ~calm(X0) <=> calm(lucy) [input p3]
6. ! [X0] : ((patient(X0) <~> creative(X0)) <=> (~old(X0) & rich(X0))) [input p5]
10. ? [X0] : ~c... | 0 |
If someone is either not humble or not quiet then someone is either funny or not rich.
Everyone who is both tall and not tall is either funny or not creative.
Everyone who is both brave and not quiet is funny.
If someone is either rich or not quiet then someone is not quiet or not brave.
If someone is not calm or not h... | Susan is not curious. | entailment | ((?[X]:((~humble(X)<~>~quiet(X))))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((tall(X)&~tall(X))=>(funny(X)<~>~creative(X))))&
(![X]:((brave(X)&~quiet(X))=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(?[X]:((~quiet(X)|~brave(X)))))&
((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:(brave(X))))&
(![X]:((~calm(X)|strong(X))=>(~crea... | ~curious(susan) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7808495753709034410604897
% SZS output start Proof for 7808495753709034410604897
9. ! [X0] : ((wise(X0) | curious(X0)) <=> (generous(X0) & strong(X0))) [input p8]
19. ~quiet(susan) & ~generous(susan) [input p18]
23. curious(susan) [input hypothesis]
58. ! [X0] : (((wise(X0) | curious(X0))... | 0 |
Everyone who is patient is either patient or not old.
If someone is not kind then someone is either generous or not curious.
If susan is either not funny or not rich then someone is either not happy or not strong.
If someone is happy or not creative then someone is both quiet and generous and vice versa.
If mary is not... | Susan is funny. | entailment | (![X]:(patient(X)=>(patient(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>(?[X]:((generous(X)<~>~curious(X)))))&
(((~funny(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((happy(X)|~creative(X))))<=>(?[X]:((quiet(X)&generous(X)))))&
((~creative(mary))<=>((funny(fred)<~>~old(fred))))&
(![X]:((~tall(X)|~brave... | funny(susan) | [
"p0",
"p10",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4021190718833487593852492
% SZS output start Proof for 4021190718833487593852492
1. ! [X0] : (patient(X0) => (patient(X0) <~> ~old(X0))) [input p0]
11. ! [X0] : ((happy(X0) | tall(X0)) => (patient(X0) <~> funny(X0))) [input p10]
13. ! [X0] : (~creative(X0) <=> (~patient(X0) <~> ~happy(X0)... | 0 |
Everyone who is either not quiet or not strong is either old or not curious.
Everyone who is old is not strong or wise.
If susan is either tall or not strong then fred is patient or not quiet and vice versa.
If susan is not strong or not patient then john is not strong.
Everyone who is either funny or quiet is both str... | John is strong. | neutral | (![X]:((~quiet(X)<~>~strong(X))=>(old(X)<~>~curious(X))))&
(![X]:(old(X)=>(~strong(X)|wise(X))))&
(((tall(susan)<~>~strong(susan)))<=>((patient(fred)|~quiet(fred))))&
(((~strong(susan)|~patient(susan)))=>(~strong(john)))&
(![X]:((funny(X)<~>quiet(X))<=>(strong(X)&old(X))))&
((?[X]:((~calm(X)&kind(X))))<=>(?[X]:((~rich(... | strong(john) | [] | null | 0 |
If someone is either tall or not happy then mary is both tall and funny and vice versa.
If alice is both curious and not happy then susan is both not creative and not rich.
Everyone who is either not happy or happy is not creative.
If susan is either tall or happy then someone is both not kind and strong and vice versa... | Paul is not brave. | contradiction | ((?[X]:((tall(X)<~>~happy(X))))<=>((tall(mary)&funny(mary))))&
(((curious(alice)&~happy(alice)))=>((~creative(susan)&~rich(susan))))&
(![X]:((~happy(X)<~>happy(X))=>~creative(X)))&
(((tall(susan)<~>happy(susan)))<=>(?[X]:((~kind(X)&strong(X)))))&
((?[X]:(~strong(X)))<=>((generous(fred)<~>~strong(fred))))&
(![X]:(curiou... | ~brave(paul) | [
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4519917645209084492315495
% SZS output start Proof for 4519917645209084492315495
6. ! [X0] : (curious(X0) <=> (tall(X0) <~> ~curious(X0))) [input p5]
11. ? [X0] : (~wise(X0) | wise(X0)) <=> (~tall(paul) <~> humble(paul)) [input p10]
16. ! [X0] : ((~brave(X0) | ~funny(X0)) => ~humble(X0)) ... | 0 |
Everyone who is either rich or curious is old and vice versa.
If susan is brave or creative then john is not funny.
If someone is not old then alice is both not happy and not patient and vice versa.
Everyone who is not tall is either not generous or not patient and vice versa.
If fred is both tall and old then someone ... | Lucy is creative. | neutral | (![X]:((rich(X)<~>curious(X))<=>old(X)))&
(((brave(susan)|creative(susan)))=>(~funny(john)))&
((?[X]:(~old(X)))<=>((~happy(alice)&~patient(alice))))&
(![X]:(~tall(X)<=>(~generous(X)<~>~patient(X))))&
(((tall(fred)&old(fred)))<=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:((~old(X)&old(X))))<=>((~rich(lucy)&~creative(lucy)))... | creative(lucy) | [] | null | 0 |
Everyone who is kind is both not tall and tall. If lucy is calm then paul is not generous. Everyone who is either not curious or rich is calm. Everyone who is rich is either not creative or not funny. If someone is either not brave or quiet then someone is curious. Everyone who is not wise or not patient is both funny ... | Mary is not quiet. | entailment | (![X]:(kind(X)=>(~tall(X)&tall(X))))&
((calm(lucy))=>(~generous(paul)))&
(![X]:((~curious(X)<~>rich(X))=>calm(X)))&
(![X]:(rich(X)=>(~creative(X)<~>~funny(X))))&
((?[X]:((~brave(X)<~>quiet(X))))=>(?[X]:(curious(X))))&
(![X]:((~wise(X)|~patient(X))<=>(funny(X)&~funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|curious(X)... | ~quiet(mary) | [
"p0",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 234340319230452804525325
% SZS output start Proof for 234340319230452804525325
1. ! [X0] : (kind(X0) => (tall(X0) & ~tall(X0))) [input p0]
7. ? [X0] : kind(X0) <=> ? [X0] : (curious(X0) | rich(X0)) [input p6]
10. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> ~curious(X0)) [input p9]
21. quiet(m... | 0 |
Everyone who is not happy or generous is rich and vice versa.
Everyone who is brave is not patient and vice versa.
Everyone who is rich or brave is both funny and brave and vice versa.
Everyone who is both not happy and wise is tall.
If someone is both not curious and not patient then paul is not rich.
Everyone who is ... | Lucy is not funny. | neutral | (![X]:((~happy(X)|generous(X))<=>rich(X)))&
(![X]:(brave(X)<=>~patient(X)))&
(![X]:((rich(X)|brave(X))<=>(funny(X)&brave(X))))&
(![X]:((~happy(X)&wise(X))=>tall(X)))&
((?[X]:((~curious(X)&~patient(X))))=>(~rich(paul)))&
(![X]:((kind(X)<~>~funny(X))=>creative(X)))&
(![X]:((happy(X)|funny(X))=>(~old(X)<~>humble(X))))&
((... | ~funny(lucy) | [] | null | 0 |
If fred is either not curious or curious then someone is both old and calm and vice versa.
Everyone who is either not rich or strong is patient.
If mary is either brave or happy then mary is either not wise or not patient.
Everyone who is not curious is funny and vice versa.
Everyone who is quiet is either funny or old... | Paul is not creative. | contradiction | (((~curious(fred)<~>curious(fred)))<=>(?[X]:((old(X)&calm(X)))))&
(![X]:((~rich(X)<~>strong(X))=>patient(X)))&
(((brave(mary)<~>happy(mary)))=>((~wise(mary)<~>~patient(mary))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:(quiet(X)<=>(funny(X)<~>old(X))))&
(![X]:((~generous(X)<~>wise(X))=>(~patient(X)&brave(X))))&
((?[X]:((... | ~creative(paul) | [
"p3",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7247216001107163135167340
% SZS output start Proof for 7247216001107163135167340
4. ! [X0] : (~curious(X0) <=> funny(X0)) [input p3]
5. ! [X0] : (quiet(X0) <=> (funny(X0) <~> old(X0))) [input p4]
11. ! [X0] : ((kind(X0) & ~brave(X0)) <=> (kind(X0) <~> quiet(X0))) [input p10]
14. ! [X0] : ... | 0 |
If someone is patient then lucy is either not wise or not humble and vice versa. Everyone who is happy or calm is not creative and vice versa. Everyone who is both calm and funny is not calm or not kind and vice versa. If susan is both happy and not strong then susan is not kind or rich and vice versa. Everyone who is ... | John is not happy. | contradiction | ((?[X]:(patient(X)))<=>((~wise(lucy)<~>~humble(lucy))))&
(![X]:((happy(X)|calm(X))<=>~creative(X)))&
(![X]:((calm(X)&funny(X))<=>(~calm(X)|~kind(X))))&
(((happy(susan)&~strong(susan)))<=>((~kind(susan)|rich(susan))))&
(![X]:((humble(X)&creative(X))<=>(~tall(X)&~happy(X))))&
(![X]:((~kind(X)|kind(X))=>(~generous(X)&tall... | ~happy(john) | [
"p1",
"p2",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6435868636523815240139004
% SZS output start Proof for 6435868636523815240139004
2. ! [X0] : ((calm(X0) | happy(X0)) <=> ~creative(X0)) [input p1]
3. ! [X0] : ((funny(X0) & calm(X0)) <=> (~kind(X0) | ~calm(X0))) [input p2]
9. (happy(john) & wise(john)) <=> ? [X0] : (quiet(X0) | happy(X0))... | 0 |
If someone is not quiet then someone is old or calm and vice versa.
If someone is not curious then someone is not old and vice versa.
Everyone who is happy is both old and not tall and vice versa.
If someone is old or not happy then susan is creative or old and vice versa.
Everyone who is both not tall and creative is ... | Lucy is not patient. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:(~old(X))))&
(![X]:(happy(X)<=>(old(X)&~tall(X))))&
((?[X]:((old(X)|~happy(X))))<=>((creative(susan)|old(susan))))&
(![X]:((~tall(X)&creative(X))=>wise(X)))&
(![X]:((~curious(X)<~>rich(X))<=>(~creative(X)|old(X))))&
(![X]:((~funny(X)|quiet(... | ~patient(lucy) | [] | null | 0 |
Everyone who is both tall and kind is happy.
If mary is either not brave or not wise then someone is brave or kind and vice versa.
Everyone who is both kind and not funny is not kind or calm and vice versa.
If susan is either not kind or wise then someone is not curious or patient and vice versa.
If paul is funny then ... | Mary is wise. | neutral | (![X]:((tall(X)&kind(X))=>happy(X)))&
(((~brave(mary)<~>~wise(mary)))<=>(?[X]:((brave(X)|kind(X)))))&
(![X]:((kind(X)&~funny(X))<=>(~kind(X)|calm(X))))&
(((~kind(susan)<~>wise(susan)))<=>(?[X]:((~curious(X)|patient(X)))))&
((funny(paul))<=>(~brave(john)))&
((?[X]:((~humble(X)&~happy(X))))=>(?[X]:((patient(X)|~strong(X)... | wise(mary) | [] | null | 0 |
If someone is both not curious and not calm then fred is old and vice versa. Everyone who is kind is both quiet and not happy and vice versa. Everyone who is curious or wise is wise or tall and vice versa. Everyone who is both generous and not kind is both not rich and quiet and vice versa. If someone is both happy and... | Paul is generous. | neutral | ((?[X]:((~curious(X)&~calm(X))))<=>(old(fred)))&
(![X]:(kind(X)<=>(quiet(X)&~happy(X))))&
(![X]:((curious(X)|wise(X))<=>(wise(X)|tall(X))))&
(![X]:((generous(X)&~kind(X))<=>(~rich(X)&quiet(X))))&
((?[X]:((happy(X)&generous(X))))=>((wise(fred)&~rich(fred))))&
(![X]:((~strong(X)&~curious(X))<=>(generous(X)<~>~tall(X))))&... | generous(paul) | [] | null | 0 |
If mary is either not creative or creative then someone is both not quiet and humble. Everyone who is not quiet is calm and vice versa. If someone is creative or not old then someone is not calm or not kind. Everyone who is both not quiet and not kind is not wise or curious. If someone is both not curious and humble th... | Mary is not creative. | neutral | (((~creative(mary)<~>creative(mary)))=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:(~quiet(X)<=>calm(X)))&
((?[X]:((creative(X)|~old(X))))=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((~quiet(X)&~kind(X))=>(~wise(X)|curious(X))))&
((?[X]:((~curious(X)&humble(X))))=>((strong(paul)|humble(paul))))&
(![X]:((~wise(X)|~brave(X))=>(~ki... | ~creative(mary) | [] | null | 0 |
Everyone who is either funny or not funny is either tall or creative and vice versa.
Everyone who is rich or not old is tall or kind.
Everyone who is not funny is both not old and funny and vice versa.
Everyone who is not wise or wise is strong.
Everyone who is happy or creative is both not funny and not quiet.
Everyon... | Susan is generous. | contradiction | (![X]:((funny(X)<~>~funny(X))<=>(tall(X)<~>creative(X))))&
(![X]:((rich(X)|~old(X))=>(tall(X)|kind(X))))&
(![X]:(~funny(X)<=>(~old(X)&funny(X))))&
(![X]:((~wise(X)|wise(X))=>strong(X)))&
(![X]:((happy(X)|creative(X))=>(~funny(X)&~quiet(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~calm(X))))&
(((funny(alice)&~wise(alice)))<... | generous(susan) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7546348620379918976830728
% SZS output start Proof for 7546348620379918976830728
3. ! [X0] : (~funny(X0) <=> (funny(X0) & ~old(X0))) [input p2]
4. ! [X0] : ((wise(X0) | ~wise(X0)) => strong(X0)) [input p3]
5. ! [X0] : ((creative(X0) | happy(X0)) => (~quiet(X0) & ~funny(X0))) [input p4]
6.... | 0 |
Everyone who is both not creative and kind is both not tall and kind and vice versa.
Everyone who is either funny or creative is both not happy and not tall.
If mary is either not funny or generous then john is humble or not calm and vice versa.
Everyone who is humble or old is not patient.
Everyone who is humble is bo... | Susan is brave. | neutral | (![X]:((~creative(X)&kind(X))<=>(~tall(X)&kind(X))))&
(![X]:((funny(X)<~>creative(X))=>(~happy(X)&~tall(X))))&
(((~funny(mary)<~>generous(mary)))<=>((humble(john)|~calm(john))))&
(![X]:((humble(X)|old(X))=>~patient(X)))&
(![X]:(humble(X)<=>(~calm(X)&~wise(X))))&
(![X]:((~strong(X)<~>~calm(X))<=>(~curious(X)|~creative(X... | brave(susan) | [] | null | 0 |
If susan is both not tall and not brave then lucy is either old or not curious and vice versa.
Everyone who is funny or curious is not patient or not wise and vice versa.
Everyone who is not creative is either not generous or curious and vice versa.
If someone is not curious then john is not rich or kind and vice versa... | Paul is rich. | neutral | (((~tall(susan)&~brave(susan)))<=>((old(lucy)<~>~curious(lucy))))&
(![X]:((funny(X)|curious(X))<=>(~patient(X)|~wise(X))))&
(![X]:(~creative(X)<=>(~generous(X)<~>curious(X))))&
((?[X]:(~curious(X)))<=>((~rich(john)|kind(john))))&
(((~old(lucy)&~patient(lucy)))<=>((~quiet(fred)<~>~wise(fred))))&
(![X]:((~strong(X)|~curi... | rich(paul) | [] | null | 0 |
If john is both not old and not wise then someone is both rich and funny. Everyone who is both tall and not humble is both not rich and not strong and vice versa. Everyone who is either old or creative is not funny or not old and vice versa. If paul is either not calm or curious then someone is rich and vice versa. Eve... | Fred is not quiet. | entailment | (((~old(john)&~wise(john)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((tall(X)&~humble(X))<=>(~rich(X)&~strong(X))))&
(![X]:((old(X)<~>creative(X))<=>(~funny(X)|~old(X))))&
(((~calm(paul)<~>curious(paul)))<=>(?[X]:(rich(X))))&
(![X]:(calm(X)=>~happy(X)))&
(![X]:((curious(X)<~>patient(X))<=>strong(X)))&
(((~humble(john)&tal... | ~quiet(fred) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6046173713912164742667527
% SZS output start Proof for 6046173713912164742667527
13. ! [X0] : ((~patient(X0) | quiet(X0)) <=> curious(X0)) [input p12]
18. ~curious(fred) & patient(fred) [input p17]
25. quiet(fred) [input hypothesis]
55. ! [X0] : (((~patient(X0) | quiet(X0)) | ~curious(X0)... | 0 |
Everyone who is either not wise or funny is both patient and not calm. Everyone who is both not generous and creative is quiet or brave. Everyone who is old or tall is happy and vice versa. Everyone who is curious or calm is rich or not kind. If someone is both not wise and not strong then fred is curious and vice vers... | Lucy is not calm. | neutral | (![X]:((~wise(X)<~>funny(X))=>(patient(X)&~calm(X))))&
(![X]:((~generous(X)&creative(X))=>(quiet(X)|brave(X))))&
(![X]:((old(X)|tall(X))<=>happy(X)))&
(![X]:((curious(X)|calm(X))=>(rich(X)|~kind(X))))&
((?[X]:((~wise(X)&~strong(X))))<=>(curious(fred)))&
((?[X]:((rich(X)<~>~calm(X))))=>(?[X]:(~patient(X))))&
(((wise(fre... | ~calm(lucy) | [] | null | 0 |
If someone is either not brave or tall then mary is both funny and not quiet and vice versa.
Everyone who is both funny and wise is both not funny and tall.
If john is not happy or quiet then paul is strong.
If paul is not strong then paul is not old or not quiet.
Everyone who is not tall is not creative.
Everyone who ... | Lucy is not brave. | contradiction | ((?[X]:((~brave(X)<~>tall(X))))<=>((funny(mary)&~quiet(mary))))&
(![X]:((funny(X)&wise(X))=>(~funny(X)&tall(X))))&
(((~happy(john)|quiet(john)))=>(strong(paul)))&
((~strong(paul))=>((~old(paul)|~quiet(paul))))&
(![X]:(~tall(X)=>~creative(X)))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~s... | ~brave(lucy) | [
"p0",
"p1",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2711850265350908372187038
% SZS output start Proof for 2711850265350908372187038
1. ? [X0] : (~brave(X0) <~> tall(X0)) <=> (~quiet(mary) & funny(mary)) [input p0]
2. ! [X0] : ((wise(X0) & funny(X0)) => (tall(X0) & ~funny(X0))) [input p1]
14. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~wise(X0... | 0 |
Everyone who is not funny or not brave is either calm or not funny and vice versa.
If someone is kind then someone is both funny and patient and vice versa.
If someone is funny or happy then alice is tall or wise and vice versa.
If paul is either not tall or patient then mary is both not kind and wise and vice versa.
E... | Mary is not patient. | neutral | (![X]:((~funny(X)|~brave(X))<=>(calm(X)<~>~funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((funny(X)&patient(X)))))&
((?[X]:((funny(X)|happy(X))))<=>((tall(alice)|wise(alice))))&
(((~tall(paul)<~>patient(paul)))<=>((~kind(mary)&wise(mary))))&
(![X]:(~brave(X)=>(~kind(X)&~creative(X))))&
(![X]:(generous(X)=>(~happy(X)&~generous... | ~patient(mary) | [] | null | 0 |
Everyone who is not happy is quiet or funny and vice versa.
If susan is either brave or old then someone is wise.
If mary is both creative and calm then fred is not happy and vice versa.
Everyone who is not kind is both rich and calm.
If susan is rich or curious then alice is kind or not brave.
If someone is wise or no... | Mary is not rich. | contradiction | (![X]:(~happy(X)<=>(quiet(X)|funny(X))))&
(((brave(susan)<~>old(susan)))=>(?[X]:(wise(X))))&
(((creative(mary)&calm(mary)))<=>(~happy(fred)))&
(![X]:(~kind(X)=>(rich(X)&calm(X))))&
(((rich(susan)|curious(susan)))=>((kind(alice)|~brave(alice))))&
((?[X]:((wise(X)|~generous(X))))=>((old(susan)|happy(susan))))&
(((old(ali... | ~rich(mary) | [
"p3",
"p9",
"p10",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5825163123210734970529246
% SZS output start Proof for 5825163123210734970529246
4. ! [X0] : (~kind(X0) => (calm(X0) & rich(X0))) [input p3]
10. ! [X0] : (humble(X0) <=> (~kind(X0) | quiet(X0))) [input p9]
11. ? [X0] : (old(X0) | ~curious(X0)) => humble(mary) [input p10]
14. ! [X0] : (qui... | 0 |
If someone is either not happy or brave then someone is both not funny and not quiet. Everyone who is not curious is either curious or not tall. Everyone who is both not strong and kind is either happy or calm and vice versa. Everyone who is either brave or patient is either not quiet or brave and vice versa. If john i... | Mary is not strong. | contradiction | ((?[X]:((~happy(X)<~>brave(X))))=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(~curious(X)=>(curious(X)<~>~tall(X))))&
(![X]:((~strong(X)&kind(X))<=>(happy(X)<~>calm(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~quiet(X)<~>brave(X))))&
((happy(john))=>(?[X]:((calm(X)|~strong(X)))))&
(((~funny(mary)<~>~strong(mary)))=>((~calm(su... | ~strong(mary) | [
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5959528575562541301793088
% SZS output start Proof for 5959528575562541301793088
22. strong(mary) <~> ~brave(mary) [input p21]
23. brave(mary) [input p22]
25. ~strong(mary) [input hypothesis]
70. (brave(mary) | ~strong(mary)) & (~brave(mary) | strong(mary)) [nnf transformation 22]
145. ~b... | 0 |
Everyone who is not wise is kind or not calm.
Everyone who is not kind or not funny is both funny and not old.
If someone is both generous and not rich then someone is not generous or not happy and vice versa.
Everyone who is rich is not patient.
Everyone who is both not kind and curious is either quiet or not old and ... | Alice is calm. | neutral | (![X]:(~wise(X)=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)|~funny(X))=>(funny(X)&~old(X))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((~kind(X)&curious(X))<=>(quiet(X)<~>~old(X))))&
(((creative(paul)&~strong(paul)))<=>(creative(alice)))&
(![X]:(old(X)=>(~... | calm(alice) | [] | null | 0 |
Everyone who is humble is creative or not brave.
Everyone who is either not patient or funny is patient and vice versa.
Everyone who is not happy is not kind or strong and vice versa.
Everyone who is both not generous and brave is not humble or not brave.
Everyone who is calm or not calm is both rich and strong and vic... | Susan is kind. | neutral | (![X]:(humble(X)=>(creative(X)|~brave(X))))&
(![X]:((~patient(X)<~>funny(X))<=>patient(X)))&
(![X]:(~happy(X)<=>(~kind(X)|strong(X))))&
(![X]:((~generous(X)&brave(X))=>(~humble(X)|~brave(X))))&
(![X]:((calm(X)|~calm(X))<=>(rich(X)&strong(X))))&
(![X]:((patient(X)&~kind(X))<=>(~curious(X)&~old(X))))&
(![X]:((~curious(X)... | kind(susan) | [] | null | 0 |
If john is both brave and tall then someone is strong and vice versa. Everyone who is calm or not happy is not strong and vice versa. Everyone who is tall or happy is humble or curious and vice versa. Everyone who is not humble is not curious and vice versa. Everyone who is not strong or strong is calm or wise. If some... | Paul is tall. | contradiction | (((brave(john)&tall(john)))<=>(?[X]:(strong(X))))&
(![X]:((calm(X)|~happy(X))<=>~strong(X)))&
(![X]:((tall(X)|happy(X))<=>(humble(X)|curious(X))))&
(![X]:(~humble(X)<=>~curious(X)))&
(![X]:((~strong(X)|strong(X))=>(calm(X)|wise(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((wise(X)|calm(X)))))&
(((old(susan)&~tall(susan)... | tall(paul) | [
"p2",
"p3",
"p7",
"p9",
"p10",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 66840125563560908964088
% SZS output start Proof for 66840125563560908964088
3. ! [X0] : ((happy(X0) | tall(X0)) <=> (curious(X0) | humble(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> ~curious(X0)) [input p3]
8. (~humble(paul) & quiet(paul)) <=> ? [X0] : (creative(X0) | ~brave(X0)) [inpu... | 0 |
Everyone who is funny is both not tall and generous and vice versa. If someone is either not curious or not rich then someone is both happy and not humble and vice versa. Everyone who is not quiet or not creative is both not tall and creative and vice versa. Everyone who is both not wise and not brave is quiet or not r... | Fred is not curious. | neutral | (![X]:(funny(X)<=>(~tall(X)&generous(X))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:((~quiet(X)|~creative(X))<=>(~tall(X)&creative(X))))&
(![X]:((~wise(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X... | ~curious(fred) | [] | null | 0 |
Everyone who is either not kind or not humble is both not patient and funny.
Everyone who is either not generous or funny is either not brave or not quiet.
Everyone who is not quiet is not brave or not rich and vice versa.
If someone is not quiet then paul is brave and vice versa.
Everyone who is humble or not brave is... | Alice is patient. | neutral | (![X]:((~kind(X)<~>~humble(X))=>(~patient(X)&funny(X))))&
(![X]:((~generous(X)<~>funny(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
((?[X]:(~quiet(X)))<=>(brave(paul)))&
(![X]:((humble(X)|~brave(X))=>(~funny(X)|~happy(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((humble(alice)&~quiet(alice)... | patient(alice) | [] | null | 0 |
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