premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not creative or not funny is both patient and not patient and vice versa.
Everyone who is both calm and not old is either old or wise and vice versa.
Everyone who is not happy or not funny is rich or happy.
If someone is not rich or humble then someone is either not quiet or kind.
If paul is both not cr... | Mary is not old. | entailment | (![X]:((~creative(X)|~funny(X))<=>(patient(X)&~patient(X))))&
(![X]:((calm(X)&~old(X))<=>(old(X)<~>wise(X))))&
(![X]:((~happy(X)|~funny(X))=>(rich(X)|happy(X))))&
((?[X]:((~rich(X)|humble(X))))=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((old(X)&~creative(X)))))&
((?[X]:((rich(X)|wise(... | ~old(mary) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2573494822968672935372591
% SZS output start Proof for 2573494822968672935372591
2. ! [X0] : ((~old(X0) & calm(X0)) <=> (old(X0) <~> wise(X0))) [input p1]
6. ? [X0] : (wise(X0) | rich(X0)) => (kind(mary) & ~old(mary)) [input p5]
24. old(mary) [input hypothesis]
34. (kind(mary) & ~old(mary... | 0 |
Everyone who is not tall is curious or brave and vice versa.
Everyone who is not curious or not generous is curious.
If lucy is both not wise and not quiet then john is both not curious and quiet.
Everyone who is both funny and not old is both not strong and creative.
Everyone who is both not brave and not patient is b... | Paul is not creative. | entailment | (![X]:(~tall(X)<=>(curious(X)|brave(X))))&
(![X]:((~curious(X)|~generous(X))=>curious(X)))&
(((~wise(lucy)&~quiet(lucy)))=>((~curious(john)&quiet(john))))&
(![X]:((funny(X)&~old(X))=>(~strong(X)&creative(X))))&
(![X]:((~brave(X)&~patient(X))=>(brave(X)&tall(X))))&
(![X]:((creative(X)<~>tall(X))<=>(~old(X)|wise(X))))&
(... | ~creative(paul) | [
"p0",
"p1",
"p5",
"p7",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2073612464108907437486338
% SZS output start Proof for 2073612464108907437486338
1. ! [X0] : (~tall(X0) <=> (brave(X0) | curious(X0))) [input p0]
2. ! [X0] : ((~generous(X0) | ~curious(X0)) => curious(X0)) [input p1]
6. ! [X0] : ((creative(X0) <~> tall(X0)) <=> (wise(X0) | ~old(X0))) [inp... | 0 |
Everyone who is brave or quiet is either not happy or not generous. If john is calm or quiet then fred is not kind. Everyone who is not curious is rich or not rich and vice versa. Everyone who is brave is both brave and not strong. If someone is either happy or not curious then someone is not calm. Everyone who is funn... | Fred is patient. | entailment | (![X]:((brave(X)|quiet(X))=>(~happy(X)<~>~generous(X))))&
(((calm(john)|quiet(john)))=>(~kind(fred)))&
(![X]:(~curious(X)<=>(rich(X)|~rich(X))))&
(![X]:(brave(X)=>(brave(X)&~strong(X))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:(~calm(X))))&
(![X]:(funny(X)<=>(humble(X)<~>~humble(X))))&
((~old(susan))=>(~tall(susan))... | patient(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3048752925661883055935136
% SZS output start Proof for 3048752925661883055935136
8. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~patient(X0) | ~quiet(X0))) [input p7]
24. ~patient(fred) [input hypothesis]
46. ! [X0] : (((~creative(X0) & creative(X0)) | (patient(X0) & quiet(X0))) & ((~pa... | 0 |
If someone is not quiet then someone is both not calm and not tall.
If someone is not wise then fred is curious.
If someone is not patient then someone is both strong and not rich.
If someone is brave then fred is wise and vice versa.
If alice is humble or not tall then someone is not tall or happy and vice versa.
If s... | Fred is not quiet. | contradiction | ((?[X]:(~quiet(X)))=>(?[X]:((~calm(X)&~tall(X)))))&
((?[X]:(~wise(X)))=>(curious(fred)))&
((?[X]:(~patient(X)))=>(?[X]:((strong(X)&~rich(X)))))&
((?[X]:(brave(X)))<=>(wise(fred)))&
(((humble(alice)|~tall(alice)))<=>(?[X]:((~tall(X)|happy(X)))))&
((?[X]:((~calm(X)&kind(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(wise(X)... | ~quiet(fred) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7785713461926326263340516
% SZS output start Proof for 7785713461926326263340516
1. ? [X0] : ~quiet(X0) => ? [X0] : (~tall(X0) & ~calm(X0)) [input p0]
12. ! [X0] : ((~wise(X0) | ~calm(X0)) => (brave(X0) & ~brave(X0))) [input p11]
25. ~quiet(fred) [input hypothesis]
26. ? [X0] : ~quiet(X0)... | 0 |
If someone is not humble or not happy then alice is both not generous and not rich. If fred is both happy and strong then susan is not curious. If paul is either tall or not old then mary is not tall. If someone is either not funny or funny then someone is either not kind or old. Everyone who is either happy or brave i... | Fred is curious. | contradiction | ((?[X]:((~humble(X)|~happy(X))))=>((~generous(alice)&~rich(alice))))&
(((happy(fred)&strong(fred)))=>(~curious(susan)))&
(((tall(paul)<~>~old(paul)))=>(~tall(mary)))&
((?[X]:((~funny(X)<~>funny(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:((wise(X)<~>tall(X))))... | curious(fred) | [
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4025878976706923752494293
% SZS output start Proof for 4025878976706923752494293
7. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p6]
8. ! [X0] : ((rich(X0) <~> ~curious(X0)) <=> ~brave(X0)) [input p7]
9. ! [X0] : ((brave(X0) | kind(X0)) => (patient(X0) & ~... | 0 |
Everyone who is not calm is not curious or not tall and vice versa.
If susan is both not funny and old then someone is not generous.
Everyone who is wise or generous is both tall and not generous.
Everyone who is either tall or brave is old and vice versa.
If lucy is both humble and not humble then someone is not happy... | Fred is not happy. | contradiction | (![X]:(~calm(X)<=>(~curious(X)|~tall(X))))&
(((~funny(susan)&old(susan)))=>(?[X]:(~generous(X))))&
(![X]:((wise(X)|generous(X))=>(tall(X)&~generous(X))))&
(![X]:((tall(X)<~>brave(X))<=>old(X)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:(~happy(X))))&
((?[X]:((generous(X)&~kind(X))))=>(?[X]:(funny(X))))&
((?[X]:((~kind(X... | ~happy(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8188479817534483037840616
% SZS output start Proof for 8188479817534483037840616
5. (~humble(lucy) & humble(lucy)) <=> ? [X0] : ~happy(X0) [input p4]
23. ~happy(fred) [input hypothesis]
42. ((~humble(lucy) & humble(lucy)) | ! [X0] : happy(X0)) & (? [X0] : ~happy(X0) | (humble(lucy) | ~hum... | 0 |
If paul is both patient and rich then someone is not generous or funny. Everyone who is both strong and not kind is not tall or patient. Everyone who is both not patient and not funny is not tall and vice versa. Everyone who is not old is not patient or not quiet and vice versa. If someone is both not quiet and not bra... | Lucy is not old. | entailment | (((patient(paul)&rich(paul)))=>(?[X]:((~generous(X)|funny(X)))))&
(![X]:((strong(X)&~kind(X))=>(~tall(X)|patient(X))))&
(![X]:((~patient(X)&~funny(X))<=>~tall(X)))&
(![X]:(~old(X)<=>(~patient(X)|~quiet(X))))&
((?[X]:((~quiet(X)&~brave(X))))=>((rich(lucy)&~patient(lucy))))&
(![X]:(kind(X)<=>(curious(X)&~old(X))))&
(![X]... | ~old(lucy) | [
"p2",
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3155425152745538835655301
% SZS output start Proof for 3155425152745538835655301
3. ! [X0] : ((~funny(X0) & ~patient(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : (~old(X0) <=> (~quiet(X0) | ~patient(X0))) [input p3]
12. ! [X0] : ((creative(X0) & calm(X0)) <=> (brave(X0) | tall(X0))) [input ... | 0 |
If someone is brave or rich then john is both not funny and not happy.
Everyone who is tall is not brave and vice versa.
Everyone who is generous is not happy and vice versa.
Everyone who is either not strong or funny is both generous and humble and vice versa.
If paul is both not kind and not brave then mary is either... | Lucy is curious. | entailment | ((?[X]:((brave(X)|rich(X))))=>((~funny(john)&~happy(john))))&
(![X]:(tall(X)<=>~brave(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((~strong(X)<~>funny(X))<=>(generous(X)&humble(X))))&
(((~kind(paul)&~brave(paul)))<=>((~wise(mary)<~>~curious(mary))))&
(![X]:(~curious(X)<=>(old(X)&~kind(X))))&
(![X]:(humble(X)=>(happy(... | curious(lucy) | [
"p2",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2163803107389117377964742
% SZS output start Proof for 2163803107389117377964742
3. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p2]
6. ! [X0] : (~curious(X0) <=> (~kind(X0) & old(X0))) [input p5]
11. ! [X0] : ((~curious(X0) <~> ~happy(X0)) <=> ~kind(X0)) [input p10]
14. ? [X0] : (~gener... | 0 |
Everyone who is happy is either not happy or creative. Everyone who is both patient and kind is both quiet and not humble. If paul is both patient and not humble then someone is not quiet or not funny and vice versa. Everyone who is old is both not calm and not kind. If someone is both not humble and not kind then some... | Mary is creative. | entailment | (![X]:(happy(X)=>(~happy(X)<~>creative(X))))&
(![X]:((patient(X)&kind(X))=>(quiet(X)&~humble(X))))&
(((patient(paul)&~humble(paul)))<=>(?[X]:((~quiet(X)|~funny(X)))))&
(![X]:(old(X)=>(~calm(X)&~kind(X))))&
((?[X]:((~humble(X)&~kind(X))))=>(?[X]:(curious(X))))&
((~generous(lucy))=>(?[X]:(~humble(X))))&
(![X]:((~patient(... | creative(mary) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8699684266194783400532951
% SZS output start Proof for 8699684266194783400532951
14. ! [X0] : ((~brave(X0) | ~funny(X0)) => creative(X0)) [input p13]
19. ~rich(mary) & ~brave(mary) [input p18]
25. ~creative(mary) [input hypothesis]
39. ! [X0] : (creative(X0) | (brave(X0) & funny(X0))) [en... | 0 |
Everyone who is both not wise and not kind is not happy and vice versa.
Everyone who is creative is not humble.
Everyone who is wise is both not strong and not generous and vice versa.
Everyone who is both not creative and not kind is both brave and kind and vice versa.
Everyone who is not quiet or not patient is not r... | Fred is not generous. | neutral | (![X]:((~wise(X)&~kind(X))<=>~happy(X)))&
(![X]:(creative(X)=>~humble(X)))&
(![X]:(wise(X)<=>(~strong(X)&~generous(X))))&
(![X]:((~creative(X)&~kind(X))<=>(brave(X)&kind(X))))&
(![X]:((~quiet(X)|~patient(X))<=>~rich(X)))&
(![X]:(old(X)=>(~kind(X)&curious(X))))&
(((rich(paul)|~kind(paul)))<=>(?[X]:((~happy(X)&~humble(X)... | ~generous(fred) | [] | null | 0 |
Everyone who is rich or not generous is curious or kind and vice versa.
Everyone who is either not curious or not creative is both not brave and tall.
Everyone who is either old or not patient is both not funny and rich.
Everyone who is either not strong or tall is either not curious or strong.
If someone is humble the... | Mary is not tall. | contradiction | (![X]:((rich(X)|~generous(X))<=>(curious(X)|kind(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(~brave(X)&tall(X))))&
(![X]:((old(X)<~>~patient(X))=>(~funny(X)&rich(X))))&
(![X]:((~strong(X)<~>tall(X))=>(~curious(X)<~>strong(X))))&
((?[X]:(humble(X)))=>((strong(lucy)&curious(lucy))))&
(((~curious(susan)|~wise(susan)))<=>... | ~tall(mary) | [
"p1",
"p3",
"p12",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1327797217620813074668041
% SZS output start Proof for 1327797217620813074668041
2. ! [X0] : ((~curious(X0) <~> ~creative(X0)) => (tall(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> tall(X0)) => (~curious(X0) <~> strong(X0))) [input p3]
13. ? [X0] : tall(X0) => (~creative(ma... | 0 |
Everyone who is either brave or not creative is not rich.
Everyone who is brave or not rich is not brave.
Everyone who is not old is both not kind and kind.
If someone is not wise or calm then paul is not patient.
If mary is both not strong and not calm then someone is tall or brave.
Everyone who is generous or kind is... | Alice is generous. | neutral | (![X]:((brave(X)<~>~creative(X))=>~rich(X)))&
(![X]:((brave(X)|~rich(X))=>~brave(X)))&
(![X]:(~old(X)=>(~kind(X)&kind(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~patient(paul)))&
(((~strong(mary)&~calm(mary)))=>(?[X]:((tall(X)|brave(X)))))&
(![X]:((generous(X)|kind(X))=>~funny(X)))&
((?[X]:((~strong(X)&~happy(X))))<=>((~wis... | generous(alice) | [] | null | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is not curious is kind or pa... | John is not strong. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)=>(kind(X)|patient(X))))&
(((~strong(fred)&~creative(fred)))=>(?[X]:((~calm(X)|~wise(X)))))&
(![X]:((curi... | ~strong(john) | [] | null | 0 |
Everyone who is either not funny or not brave is not rich.
Everyone who is either kind or calm is not brave or humble.
If fred is not quiet or calm then someone is either old or patient.
Everyone who is happy or kind is not generous or wise.
If someone is not curious then mary is rich or not tall and vice versa.
If som... | Mary is generous. | neutral | (![X]:((~funny(X)<~>~brave(X))=>~rich(X)))&
(![X]:((kind(X)<~>calm(X))=>(~brave(X)|humble(X))))&
(((~quiet(fred)|calm(fred)))=>(?[X]:((old(X)<~>patient(X)))))&
(![X]:((happy(X)|kind(X))=>(~generous(X)|wise(X))))&
((?[X]:(~curious(X)))<=>((rich(mary)|~tall(mary))))&
((?[X]:(~generous(X)))<=>(?[X]:((~patient(X)&strong(X)... | generous(mary) | [] | null | 0 |
Everyone who is both not kind and not rich is funny and vice versa.
Everyone who is happy is not strong or tall and vice versa.
If lucy is not humble then john is either rich or not funny.
If paul is both not wise and not rich then someone is not happy or not curious.
Everyone who is old is not humble.
If mary is quiet... | Susan is happy. | entailment | (![X]:((~kind(X)&~rich(X))<=>funny(X)))&
(![X]:(happy(X)<=>(~strong(X)|tall(X))))&
((~humble(lucy))=>((rich(john)<~>~funny(john))))&
(((~wise(paul)&~rich(paul)))=>(?[X]:((~happy(X)|~curious(X)))))&
(![X]:(old(X)=>~humble(X)))&
((quiet(mary))<=>(?[X]:((~creative(X)&~funny(X)))))&
(![X]:((~old(X)|brave(X))<=>(happy(X)&~r... | happy(susan) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1583042736259148065919433
% SZS output start Proof for 1583042736259148065919433
1. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> funny(X0)) [input p0]
10. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~happy(X0)) [input p9]
14. (wise(susan) | ~happy(susan)) <=> (rich(lucy) & happy(lucy)) [input p13]
23... | 0 |
Everyone who is not brave is either not calm or happy.
Everyone who is strong is both rich and tall and vice versa.
If someone is either not curious or kind then someone is wise or strong.
Everyone who is rich is tall or not quiet.
Everyone who is tall or not calm is either calm or generous and vice versa.
Everyone who... | Mary is strong. | entailment | (![X]:(~brave(X)=>(~calm(X)<~>happy(X))))&
(![X]:(strong(X)<=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|strong(X)))))&
(![X]:(rich(X)=>(tall(X)|~quiet(X))))&
(![X]:((tall(X)|~calm(X))<=>(calm(X)<~>generous(X))))&
(![X]:((tall(X)&creative(X))=>strong(X)))&
(![X]:((~curious(X)&happy(X))=>(ta... | strong(mary) | [
"p1",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 838864212261664284566245
% SZS output start Proof for 838864212261664284566245
2. ! [X0] : (strong(X0) <=> (tall(X0) & rich(X0))) [input p1]
8. ! [X0] : ((~generous(X0) | strong(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p7]
11. ! [X0] : ((~calm(X0) | ~strong(X0)) => (creative(X0) & cur... | 0 |
If fred is either old or not tall then paul is not patient or not strong and vice versa.
If lucy is either curious or generous then someone is both not curious and not funny.
Everyone who is both happy and wise is both not quiet and quiet.
Everyone who is not wise or wise is not strong.
Everyone who is not kind or not ... | Mary is not patient. | entailment | (((old(fred)<~>~tall(fred)))<=>((~patient(paul)|~strong(paul))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:((~curious(X)&~funny(X)))))&
(![X]:((happy(X)&wise(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~wise(X)|wise(X))=>~strong(X)))&
(![X]:((~kind(X)|~creative(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~creative(X)... | ~patient(mary) | [
"p3",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1757942972590881556820438
% SZS output start Proof for 1757942972590881556820438
4. ! [X0] : ((wise(X0) | ~wise(X0)) => ~strong(X0)) [input p3]
11. ! [X0] : ((kind(X0) | rich(X0)) <=> (strong(X0) & ~rich(X0))) [input p10]
13. (kind(alice) & funny(alice)) <=> patient(mary) [input p12]
22. ... | 0 |
Everyone who is not funny is both not strong and rich and vice versa.
Everyone who is both not generous and rich is not funny or not rich and vice versa.
Everyone who is not calm or not brave is creative and vice versa.
Everyone who is either not generous or not tall is quiet or wise and vice versa.
Everyone who is fun... | Fred is not strong. | contradiction | (![X]:(~funny(X)<=>(~strong(X)&rich(X))))&
(![X]:((~generous(X)&rich(X))<=>(~funny(X)|~rich(X))))&
(![X]:((~calm(X)|~brave(X))<=>creative(X)))&
(![X]:((~generous(X)<~>~tall(X))<=>(quiet(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|kind(X))))&
((?[X]:((~strong(X)|~rich(X))))<=>((~wise(john)<~>happy(john))))&
((?[X]:((brave... | ~strong(fred) | [
"p0",
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7542711063953396204359286
% SZS output start Proof for 7542711063953396204359286
1. ! [X0] : (~funny(X0) <=> (rich(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((rich(X0) & ~generous(X0)) <=> (~rich(X0) | ~funny(X0))) [input p1]
5. ! [X0] : (funny(X0) <=> (kind(X0) | rich(X0))) [input p4]
2... | 0 |
If someone is either not humble or not patient then someone is calm and vice versa.
If someone is either not strong or not patient then paul is both generous and rich and vice versa.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is br... | John is humble. | entailment | ((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>((generous(paul)&rich(paul))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generou... | humble(john) | [
"p0",
"p1",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6125913264082504404286197
% SZS output start Proof for 6125913264082504404286197
1. ? [X0] : (~humble(X0) <~> ~patient(X0)) <=> ? [X0] : calm(X0) [input p0]
2. ? [X0] : (~strong(X0) <~> ~patient(X0)) <=> (rich(paul) & generous(paul)) [input p1]
6. ! [X0] : ((~calm(X0) <~> ~curious(X0)) <=... | 0 |
If lucy is not brave then someone is both not rich and kind. Everyone who is either brave or not humble is both rich and not funny. If susan is both not patient and not old then alice is tall or not curious. If someone is happy or generous then alice is not patient or not tall and vice versa. If lucy is generous then s... | Susan is not patient. | contradiction | ((~brave(lucy))=>(?[X]:((~rich(X)&kind(X)))))&
(![X]:((brave(X)<~>~humble(X))=>(rich(X)&~funny(X))))&
(((~patient(susan)&~old(susan)))=>((tall(alice)|~curious(alice))))&
((?[X]:((happy(X)|generous(X))))<=>((~patient(alice)|~tall(alice))))&
((generous(lucy))=>(~funny(susan)))&
(((strong(fred)<~>kind(fred)))<=>(?[X]:((~g... | ~patient(susan) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2082189244259125909168385
% SZS output start Proof for 2082189244259125909168385
7. ! [X0] : ((~old(X0) & ~brave(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p6]
13. ! [X0] : (~old(X0) <=> (wise(X0) & old(X0))) [input p12]
21. ~patient(susan) [input hypothesis]
45. ! [X0] : (((~old(X0) & ... | 0 |
If alice is not generous or creative then john is not strong and vice versa.
If someone is either not quiet or not funny then someone is brave and vice versa.
If someone is either not generous or calm then someone is either tall or curious and vice versa.
Everyone who is strong or generous is both not wise and not funn... | Alice is not wise. | entailment | (((~generous(alice)|creative(alice)))<=>(~strong(john)))&
((?[X]:((~quiet(X)<~>~funny(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>(?[X]:((tall(X)<~>curious(X)))))&
(![X]:((strong(X)|generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:(strong(X)<=>(~tall(X)&calm(X))))&
((?[X]:((~strong(X)|wise(X))))<=>(?[X... | ~wise(alice) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7066563556549242803554689
% SZS output start Proof for 7066563556549242803554689
4. ! [X0] : ((generous(X0) | strong(X0)) <=> (~funny(X0) & ~wise(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | funny(X0)) <=> ~wise(X0)) [input p7]
9. ! [X0] : ((funny(X0) & ~kind(X0)) <=> (~strong(X0) <~> funny... | 0 |
If alice is not rich or generous then susan is both not creative and humble.
Everyone who is either wise or not brave is not generous.
If fred is both not quiet and not creative then someone is creative.
Everyone who is both old and brave is not curious or not rich and vice versa.
Everyone who is either not old or not ... | Paul is not generous. | contradiction | (((~rich(alice)|generous(alice)))=>((~creative(susan)&humble(susan))))&
(![X]:((wise(X)<~>~brave(X))=>~generous(X)))&
(((~quiet(fred)&~creative(fred)))=>(?[X]:(creative(X))))&
(![X]:((old(X)&brave(X))<=>(~curious(X)|~rich(X))))&
(![X]:((~old(X)<~>~curious(X))=>(old(X)&patient(X))))&
(![X]:((humble(X)<~>quiet(X))=>(gene... | ~generous(paul) | [
"p3",
"p4",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1192502150682324271350400
% SZS output start Proof for 1192502150682324271350400
4. ! [X0] : ((brave(X0) & old(X0)) <=> (~rich(X0) | ~curious(X0))) [input p3]
5. ! [X0] : ((~old(X0) <~> ~curious(X0)) => (patient(X0) & old(X0))) [input p4]
7. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~patient(... | 0 |
If someone is strong then someone is both not rich and not patient and vice versa. If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient... | Paul is tall. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((~rich(X)&~patient(X)))))&
((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(... | tall(paul) | [
"p2",
"p5",
"p6",
"p10",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3972571747223159722106359
% SZS output start Proof for 3972571747223159722106359
3. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> (~old(X0) | ~kind(X0))) [input p2]
6. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~creative(X0)) [input p5]
7. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (calm(X0) <~> ~rich... | 0 |
Everyone who is both patient and not funny is not kind or creative.
If fred is both generous and rich then paul is either funny or wise and vice versa.
If alice is either old or not calm then john is curious.
Everyone who is both not wise and not funny is either funny or generous and vice versa.
If mary is funny then s... | Mary is not calm. | entailment | (![X]:((patient(X)&~funny(X))=>(~kind(X)|creative(X))))&
(((generous(fred)&rich(fred)))<=>((funny(paul)<~>wise(paul))))&
(((old(alice)<~>~calm(alice)))=>(curious(john)))&
(![X]:((~wise(X)&~funny(X))<=>(funny(X)<~>generous(X))))&
((funny(mary))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)|~wise(X))))=>((brave(... | ~calm(mary) | [
"p0",
"p3",
"p4",
"p8",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7775596923602095572466931
% SZS output start Proof for 7775596923602095572466931
1. ! [X0] : ((~funny(X0) & patient(X0)) => (creative(X0) | ~kind(X0))) [input p0]
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (funny(X0) <~> generous(X0))) [input p3]
5. funny(mary) <=> ? [X0] : (patient(X0) <~... | 0 |
If john is both not curious and not creative then mary is either not generous or old.
Everyone who is quiet or not kind is both kind and not generous and vice versa.
Everyone who is not old or curious is creative or not kind.
If someone is either old or calm then someone is either not patient or not happy and vice vers... | Mary is not strong. | neutral | (((~curious(john)&~creative(john)))=>((~generous(mary)<~>old(mary))))&
(![X]:((quiet(X)|~kind(X))<=>(kind(X)&~generous(X))))&
(![X]:((~old(X)|curious(X))=>(creative(X)|~kind(X))))&
((?[X]:((old(X)<~>calm(X))))<=>(?[X]:((~patient(X)<~>~happy(X)))))&
((?[X]:((~wise(X)<~>~quiet(X))))<=>((~quiet(mary)&~funny(mary))))&
(![X... | ~strong(mary) | [] | null | 0 |
Everyone who is happy is not curious or rich and vice versa.
Everyone who is either happy or not quiet is strong or not quiet and vice versa.
Everyone who is either happy or not old is either not calm or creative and vice versa.
Everyone who is either quiet or strong is not brave or wise.
Everyone who is not happy is b... | Fred is calm. | neutral | (![X]:(happy(X)<=>(~curious(X)|rich(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(strong(X)|~quiet(X))))&
(![X]:((happy(X)<~>~old(X))<=>(~calm(X)<~>creative(X))))&
(![X]:((quiet(X)<~>strong(X))=>(~brave(X)|wise(X))))&
(![X]:(~happy(X)<=>(happy(X)&curious(X))))&
(![X]:((~funny(X)&patient(X))=>(~generous(X)|~creative(X))))&
((... | calm(fred) | [] | null | 0 |
If fred is both patient and not quiet then someone is not happy and vice versa.
Everyone who is not old or generous is either not creative or not rich.
If john is either not strong or not patient then paul is either not old or calm and vice versa.
Everyone who is both not quiet and patient is either not strong or quiet... | Paul is not tall. | entailment | (((patient(fred)&~quiet(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~old(X)|generous(X))=>(~creative(X)<~>~rich(X))))&
(((~strong(john)<~>~patient(john)))<=>((~old(paul)<~>calm(paul))))&
(![X]:((~quiet(X)&patient(X))<=>(~strong(X)<~>quiet(X))))&
(((creative(mary)&~humble(mary)))=>((funny(mary)|happy(mary))))&
(![X]:((brave(... | ~tall(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3136906406094123530857272
% SZS output start Proof for 3136906406094123530857272
23. ~tall(paul) & quiet(paul) [input p22]
24. tall(paul) [input hypothesis]
155. ~tall(paul) [cnf transformation 23]
156. tall(paul) [cnf transformation 24]
337. $false [subsumption resolution 156,155]
% SZS ... | 0 |
If fred is creative or not funny then lucy is patient and vice versa.
Everyone who is not strong or old is both tall and patient and vice versa.
Everyone who is funny or curious is not rich.
Everyone who is not happy or not patient is either rich or funny and vice versa.
If someone is kind then someone is wise or rich ... | Paul is not wise. | contradiction | (((creative(fred)|~funny(fred)))<=>(patient(lucy)))&
(![X]:((~strong(X)|old(X))<=>(tall(X)&patient(X))))&
(![X]:((funny(X)|curious(X))=>~rich(X)))&
(![X]:((~happy(X)|~patient(X))<=>(rich(X)<~>funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)|rich(X)))))&
((?[X]:((~curious(X)<~>rich(X))))=>(?[X]:((kind(X)&creative(X)))))... | ~wise(paul) | [
"p6",
"p7",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5573438623580643727570855
% SZS output start Proof for 5573438623580643727570855
7. ! [X0] : (~wise(X0) => (patient(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (strong(X0) & ~humble(X0))) [input p7]
15. ! [X0] : (quiet(X0) => (brave(X0) & calm(X0))) [input p1... | 0 |
Everyone who is not rich or not funny is either not creative or funny and vice versa.
Everyone who is both old and calm is either not strong or humble and vice versa.
If someone is either tall or not funny then alice is wise or not patient.
Everyone who is both not curious and humble is both not generous and brave and ... | Mary is old. | neutral | (![X]:((~rich(X)|~funny(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((old(X)&calm(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(cur... | old(mary) | [] | null | 0 |
Everyone who is not strong or happy is either calm or not strong and vice versa.
Everyone who is generous is either quiet or not generous and vice versa.
Everyone who is both creative and not tall is either not funny or not strong.
Everyone who is either wise or patient is patient and vice versa.
Everyone who is happy ... | Fred is not quiet. | contradiction | (![X]:((~strong(X)|happy(X))<=>(calm(X)<~>~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((wise(susan)&rich(susan)))<=>((tall(lucy)<~>~brave(... | ~quiet(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7358973901187348383216459
% SZS output start Proof for 7358973901187348383216459
2. ! [X0] : (generous(X0) <=> (quiet(X0) <~> ~generous(X0))) [input p1]
23. ~quiet(fred) [input hypothesis]
34. ! [X0] : ((generous(X0) | ((quiet(X0) | generous(X0)) & (~generous(X0) | ~quiet(X0)))) & (((gene... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is rich or strong is both not tall and funny.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is e... | Mary is tall. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|strong(X))=>(~tall(X)&funny(X))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|k... | tall(mary) | [
"p5",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1544249142671114145244583
% SZS output start Proof for 1544249142671114145244583
6. ! [X0] : ((~tall(X0) & rich(X0)) <=> (kind(X0) | ~funny(X0))) [input p5]
8. (creative(mary) & ~calm(mary)) <=> (curious(susan) | brave(susan)) [input p7]
13. (~kind(mary) <~> ~creative(mary)) <=> (~generou... | 0 |
If someone is not rich or not kind then someone is either rich or happy and vice versa.
Everyone who is either not strong or kind is both curious and funny.
If john is not curious or not calm then someone is not old or not creative and vice versa.
If paul is not happy then someone is either generous or not tall.
Everyo... | Paul is not calm. | entailment | ((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((rich(X)<~>happy(X)))))&
(![X]:((~strong(X)<~>kind(X))=>(curious(X)&funny(X))))&
(((~curious(john)|~calm(john)))<=>(?[X]:((~old(X)|~creative(X)))))&
((~happy(paul))=>(?[X]:((generous(X)<~>~tall(X)))))&
(![X]:((wise(X)|calm(X))<=>(~calm(X)|old(X))))&
(![X]:(quiet(X)=>(old(X)<~>~tal... | ~calm(paul) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4754313732101950970936017
% SZS output start Proof for 4754313732101950970936017
8. ! [X0] : ((~strong(X0) | wise(X0)) <=> (~strong(X0) <~> ~wise(X0))) [input p7]
11. ? [X0] : (calm(X0) | tall(X0)) => ? [X0] : strong(X0) [input p10]
25. calm(paul) [input hypothesis]
28. ? [X0] : (calm(X0)... | 0 |
If mary is old then someone is either not happy or not rich and vice versa. Everyone who is either quiet or wise is tall. Everyone who is not brave or happy is both wise and not rich and vice versa. Everyone who is either strong or not curious is both not quiet and not tall. Everyone who is either not kind or strong is... | Susan is not wise. | contradiction | ((old(mary))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
(![X]:((quiet(X)<~>wise(X))=>tall(X)))&
(![X]:((~brave(X)|happy(X))<=>(wise(X)&~rich(X))))&
(![X]:((strong(X)<~>~curious(X))=>(~quiet(X)&~tall(X))))&
(![X]:((~kind(X)<~>strong(X))=>(humble(X)<~>~generous(X))))&
(![X]:(~funny(X)<=>(~quiet(X)<~>funny(X))))&
(((strong(mary)... | ~wise(susan) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2795497061434405587217876
% SZS output start Proof for 2795497061434405587217876
6. ! [X0] : (~funny(X0) <=> (~quiet(X0) <~> funny(X0))) [input p5]
9. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> (generous(X0) | wise(X0))) [input p8]
22. ~wise(susan) [input hypothesis]
47. ! [X0] : ((~funny... | 0 |
Everyone who is not calm or not brave is both not strong and strong and vice versa. Everyone who is creative is not strong and vice versa. If someone is either humble or not calm then lucy is both not creative and not rich. If someone is not old or not happy then susan is not calm or happy. Everyone who is brave is not... | Lucy is strong. | entailment | (![X]:((~calm(X)|~brave(X))<=>(~strong(X)&strong(X))))&
(![X]:(creative(X)<=>~strong(X)))&
((?[X]:((humble(X)<~>~calm(X))))=>((~creative(lucy)&~rich(lucy))))&
((?[X]:((~old(X)|~happy(X))))=>((~calm(susan)|happy(susan))))&
(![X]:(brave(X)=>~creative(X)))&
(![X]:((~brave(X)<~>~tall(X))=>humble(X)))&
(![X]:(quiet(X)<=>(~h... | strong(lucy) | [
"p0",
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5142990946694174761265229
% SZS output start Proof for 5142990946694174761265229
1. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p0]
2. ! [X0] : (creative(X0) <=> ~strong(X0)) [input p1]
5. ! [X0] : (brave(X0) => ~creative(X0)) [input p4]
23. ~strong(lucy) [in... | 0 |
If someone is wise or not kind then someone is both generous and tall and vice versa. If john is brave or strong then someone is not quiet. Everyone who is either not quiet or not strong is either happy or not kind and vice versa. If someone is not generous then fred is rich. If someone is both not patient and tall the... | John is happy. | neutral | ((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(((brave(john)|strong(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(happy(X)<~>~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(![X]:((~calm(X)|rich(X))<=>(funny(X)... | happy(john) | [] | null | 0 |
Everyone who is not wise or patient is both not rich and not humble and vice versa.
If someone is not happy or not humble then someone is either not brave or not humble.
If someone is not strong or calm then someone is either calm or not humble.
If someone is either not creative or not kind then lucy is strong and vice... | Mary is happy. | entailment | (![X]:((~wise(X)|patient(X))<=>(~rich(X)&~humble(X))))&
((?[X]:((~happy(X)|~humble(X))))=>(?[X]:((~brave(X)<~>~humble(X)))))&
((?[X]:((~strong(X)|calm(X))))=>(?[X]:((calm(X)<~>~humble(X)))))&
((?[X]:((~creative(X)<~>~kind(X))))<=>(strong(lucy)))&
(((~patient(fred)<~>~humble(fred)))<=>((~quiet(alice)<~>tall(alice))))&
(... | happy(mary) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1435015007400512015139606
% SZS output start Proof for 1435015007400512015139606
6. happy(mary) <=> ? [X0] : (patient(X0) | ~brave(X0)) [input p5]
23. ~brave(paul) [input p22]
25. ~happy(mary) [input hypothesis]
57. (happy(mary) | ! [X0] : (~patient(X0) & brave(X0))) & (? [X0] : (patient(... | 0 |
Everyone who is not tall is both not wise and not funny.
Everyone who is both not creative and wise is not brave.
Everyone who is not rich is either not tall or not calm and vice versa.
Everyone who is either happy or not tall is either curious or happy and vice versa.
Everyone who is both not humble and not wise is ei... | Alice is not rich. | contradiction | (![X]:(~tall(X)=>(~wise(X)&~funny(X))))&
(![X]:((~creative(X)&wise(X))=>~brave(X)))&
(![X]:(~rich(X)<=>(~tall(X)<~>~calm(X))))&
(![X]:((happy(X)<~>~tall(X))<=>(curious(X)<~>happy(X))))&
(![X]:((~humble(X)&~wise(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:(~humble(X)<=>(~patient(X)&kind(X))))&
(![X]:((~curious(X)&calm(X))<=>(... | ~rich(alice) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8927520762774715831711162
% SZS output start Proof for 8927520762774715831711162
3. ! [X0] : (~rich(X0) <=> (~tall(X0) <~> ~calm(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~tall(X0)) <=> (curious(X0) <~> happy(X0))) [input p3]
5. ! [X0] : ((~wise(X0) & ~humble(X0)) <=> (~funny(X0) <~> ~... | 0 |
If someone is not old then someone is strong or quiet and vice versa. Everyone who is not rich or not strong is happy. If paul is patient then john is kind and vice versa. Everyone who is either not humble or rich is not old or not humble and vice versa. If someone is either kind or not kind then alice is curious or no... | Paul is not rich. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((strong(X)|quiet(X)))))&
(![X]:((~rich(X)|~strong(X))=>happy(X)))&
((patient(paul))<=>(kind(john)))&
(![X]:((~humble(X)<~>rich(X))<=>(~old(X)|~humble(X))))&
((?[X]:((kind(X)<~>~kind(X))))<=>((curious(alice)|~happy(alice))))&
(![X]:((~humble(X)<~>brave(X))=>(rich(X)<~>strong(X))))&
((rich(alic... | ~rich(paul) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 399749144424891802355116
% SZS output start Proof for 399749144424891802355116
2. ! [X0] : ((~strong(X0) | ~rich(X0)) => happy(X0)) [input p1]
18. rich(paul) | ~happy(paul) [input p17]
25. ~rich(paul) [input hypothesis]
30. ! [X0] : (happy(X0) | (strong(X0) & rich(X0))) [ennf transformati... | 0 |
If susan is wise or not strong then mary is both not calm and quiet and vice versa.
Everyone who is both funny and quiet is not kind or creative.
Everyone who is either patient or not tall is not humble or not wise.
If alice is not rich then someone is not rich or generous and vice versa.
Everyone who is strong is calm... | Mary is not quiet. | contradiction | (((wise(susan)|~strong(susan)))<=>((~calm(mary)&quiet(mary))))&
(![X]:((funny(X)&quiet(X))=>(~kind(X)|creative(X))))&
(![X]:((patient(X)<~>~tall(X))=>(~humble(X)|~wise(X))))&
((~rich(alice))<=>(?[X]:((~rich(X)|generous(X)))))&
(![X]:(strong(X)=>(calm(X)|~creative(X))))&
(((~brave(lucy)&funny(lucy)))=>(?[X]:(~kind(X))))... | ~quiet(mary) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3260700026652208683152664
% SZS output start Proof for 3260700026652208683152664
1. (~strong(susan) | wise(susan)) <=> (quiet(mary) & ~calm(mary)) [input p0]
16. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p15]
24. ~quiet(mary) [input hypothesis]
40. ((~strong... | 0 |
If someone is happy then john is either not calm or kind and vice versa.
If alice is not funny or happy then john is wise.
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 ... | Susan is not generous. | contradiction | ((?[X]:(happy(X)))<=>((~calm(john)<~>kind(john))))&
(((~funny(alice)|happy(alice)))=>(wise(john)))&
(((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(susan) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 735186395638465964534689
% SZS output start Proof for 735186395638465964534689
12. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p11]
14. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p13]
23. ~generous(susan) [input hypothesis]
58. ! [X0] :... | 0 |
Everyone who is calm or rich is both patient and not patient and vice versa.
If someone is generous or not strong then fred is both not rich and not happy.
Everyone who is either not generous or calm is either strong or quiet and vice versa.
Everyone who is happy is both quiet and not funny and vice versa.
If someone i... | Alice is old. | contradiction | (![X]:((calm(X)|rich(X))<=>(patient(X)&~patient(X))))&
((?[X]:((generous(X)|~strong(X))))=>((~rich(fred)&~happy(fred))))&
(![X]:((~generous(X)<~>calm(X))<=>(strong(X)<~>quiet(X))))&
(![X]:(happy(X)<=>(quiet(X)&~funny(X))))&
((?[X]:(creative(X)))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:((~kind(X)|~curious(X))<=>~quiet(... | old(alice) | [
"p0",
"p3",
"p5",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3540043851983354005694474
% SZS output start Proof for 3540043851983354005694474
1. ! [X0] : ((rich(X0) | calm(X0)) <=> (~patient(X0) & patient(X0))) [input p0]
4. ! [X0] : (happy(X0) <=> (~funny(X0) & quiet(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> ~quiet(X0)) [input p... | 0 |
If mary is either happy or not kind then someone is not calm or patient. If someone is quiet then john is kind. Everyone who is both strong and not calm is both not humble and old. Everyone who is not brave or patient is either happy or not rich and vice versa. Everyone who is kind is creative and vice versa. Everyone ... | Fred is patient. | contradiction | (((happy(mary)<~>~kind(mary)))=>(?[X]:((~calm(X)|patient(X)))))&
((?[X]:(quiet(X)))=>(kind(john)))&
(![X]:((strong(X)&~calm(X))=>(~humble(X)&old(X))))&
(![X]:((~brave(X)|patient(X))<=>(happy(X)<~>~rich(X))))&
(![X]:(kind(X)<=>creative(X)))&
(![X]:((happy(X)&~happy(X))<=>(creative(X)|rich(X))))&
(![X]:((~humble(X)&creat... | patient(fred) | [
"p3",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2965271382426558049566021
% SZS output start Proof for 2965271382426558049566021
4. ! [X0] : ((patient(X0) | ~brave(X0)) <=> (happy(X0) <~> ~rich(X0))) [input p3]
6. ! [X0] : ((~happy(X0) & happy(X0)) <=> (rich(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~brave(X0) & old(X0)) <=> (stron... | 0 |
If alice is either not calm or not tall then someone is both generous and funny.
Everyone who is both not wise and not quiet is either creative or not rich.
Everyone who is either patient or not rich is either not calm or not curious.
Everyone who is happy or not patient is both not patient and not happy.
Everyone who ... | Lucy is quiet. | entailment | (((~calm(alice)<~>~tall(alice)))=>(?[X]:((generous(X)&funny(X)))))&
(![X]:((~wise(X)&~quiet(X))=>(creative(X)<~>~rich(X))))&
(![X]:((patient(X)<~>~rich(X))=>(~calm(X)<~>~curious(X))))&
(![X]:((happy(X)|~patient(X))=>(~patient(X)&~happy(X))))&
(![X]:(humble(X)=>(wise(X)&curious(X))))&
(![X]:(~funny(X)=>(generous(X)|calm... | quiet(lucy) | [
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3278751132690077668957091
% SZS output start Proof for 3278751132690077668957091
12. ? [X0] : tall(X0) => quiet(lucy) [input p11]
13. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> (tall(X0) & ~happy(X0))) [input p12]
22. ? [X0] : (~funny(X0) & ~generous(X0)) [input p21]
25. ~quiet(lucy) [inpu... | 0 |
If mary is funny then someone is either not curious or not wise.
Everyone who is both happy and not old is old.
If fred is either not rich or not calm then someone is either not quiet or rich and vice versa.
Everyone who is both not calm and brave is not tall or not quiet.
Everyone who is not quiet is both not happy an... | Susan is tall. | entailment | ((funny(mary))=>(?[X]:((~curious(X)<~>~wise(X)))))&
(![X]:((happy(X)&~old(X))=>old(X)))&
(((~rich(fred)<~>~calm(fred)))<=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((~calm(X)&brave(X))=>(~tall(X)|~quiet(X))))&
(![X]:(~quiet(X)=>(~happy(X)&curious(X))))&
((?[X]:(generous(X)))=>(?[X]:((~patient(X)|~old(X)))))&
((?[X]:((rich... | tall(susan) | [
"p1",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6542432871560354241962704
% SZS output start Proof for 6542432871560354241962704
2. ! [X0] : ((~old(X0) & happy(X0)) => old(X0)) [input p1]
13. ! [X0] : ((kind(X0) | ~creative(X0)) => (happy(X0) & ~curious(X0))) [input p12]
16. ! [X0] : ((~kind(X0) | ~strong(X0)) => (tall(X0) & ~happy(X0)... | 0 |
Everyone who is both not happy and not creative is not tall or funny. Everyone who is both not generous and not rich is not strong and vice versa. Everyone who is brave is both humble and not curious. If alice is either not quiet or quiet then lucy is either not creative or humble. If someone is brave then someone is e... | Susan is not brave. | neutral | (![X]:((~happy(X)&~creative(X))=>(~tall(X)|funny(X))))&
(![X]:((~generous(X)&~rich(X))<=>~strong(X)))&
(![X]:(brave(X)=>(humble(X)&~curious(X))))&
(((~quiet(alice)<~>quiet(alice)))=>((~creative(lucy)<~>humble(lucy))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((generous(X... | ~brave(susan) | [] | null | 0 |
Everyone who is calm is quiet or not creative and vice versa.
Everyone who is not humble is both funny and rich.
If someone is either humble or not curious then alice is both not humble and not curious and vice versa.
If someone is both not humble and not kind then john is not old or rich and vice versa.
Everyone who i... | Lucy is humble. | entailment | (![X]:(calm(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)=>(funny(X)&rich(X))))&
((?[X]:((humble(X)<~>~curious(X))))<=>((~humble(alice)&~curious(alice))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(john)|rich(john))))&
(![X]:(rich(X)=>(wise(X)|~patient(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(~generous(X)|~wise(X... | humble(lucy) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8005084828107090874914374
% SZS output start Proof for 8005084828107090874914374
2. ! [X0] : (~humble(X0) => (rich(X0) & funny(X0))) [input p1]
10. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (rich(X0) | happy(X0))) [input p9]
22. ~humble(lucy) [input hypothesis]
25. ! [X0] : ((rich(X0) & funny... | 0 |
Everyone who is either tall or humble is both not rich and strong.
Everyone who is both humble and not calm is either not brave or calm and vice versa.
Everyone who is both not kind and curious is not old or happy.
Everyone who is not happy is not humble or not quiet.
If someone is either humble or not generous then pa... | Lucy is not creative. | contradiction | (![X]:((tall(X)<~>humble(X))=>(~rich(X)&strong(X))))&
(![X]:((humble(X)&~calm(X))<=>(~brave(X)<~>calm(X))))&
(![X]:((~kind(X)&curious(X))=>(~old(X)|happy(X))))&
(![X]:(~happy(X)=>(~humble(X)|~quiet(X))))&
((?[X]:((humble(X)<~>~generous(X))))<=>(old(paul)))&
(![X]:((quiet(X)|creative(X))<=>~quiet(X)))&
((?[X]:((~brave(X... | ~creative(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 738145035813011888138168
% SZS output start Proof for 738145035813011888138168
6. ! [X0] : ((creative(X0) | quiet(X0)) <=> ~quiet(X0)) [input p5]
25. ~creative(lucy) [input hypothesis]
46. ! [X0] : (((creative(X0) | quiet(X0)) | quiet(X0)) & (~quiet(X0) | (~creative(X0) & ~quiet(X0)))) [n... | 0 |
Everyone who is humble is either not funny or not wise and vice versa. If someone is both kind and happy then fred is funny and vice versa. If mary is both not curious and not old then mary is not tall and vice versa. Everyone who is tall is patient. Everyone who is either not curious or kind is not curious or not wise... | John is curious. | neutral | (![X]:(humble(X)<=>(~funny(X)<~>~wise(X))))&
((?[X]:((kind(X)&happy(X))))<=>(funny(fred)))&
(((~curious(mary)&~old(mary)))<=>(~tall(mary)))&
(![X]:(tall(X)=>patient(X)))&
(![X]:((~curious(X)<~>kind(X))=>(~curious(X)|~wise(X))))&
(![X]:((~old(X)&rich(X))<=>(~calm(X)&kind(X))))&
((?[X]:(patient(X)))=>(?[X]:(~old(X))))&
(... | curious(john) | [] | null | 0 |
If paul is not creative then someone is either happy or brave and vice versa.
Everyone who is happy is both calm and not old and vice versa.
If susan is either generous or quiet then someone is either not old or happy and vice versa.
If someone is humble or not curious then someone is generous or wise.
Everyone who is ... | John is calm. | entailment | ((~creative(paul))<=>(?[X]:((happy(X)<~>brave(X)))))&
(![X]:(happy(X)<=>(calm(X)&~old(X))))&
(((generous(susan)<~>quiet(susan)))<=>(?[X]:((~old(X)<~>happy(X)))))&
((?[X]:((humble(X)|~curious(X))))=>(?[X]:((generous(X)|wise(X)))))&
(![X]:((~curious(X)<~>~generous(X))<=>(~curious(X)<~>~old(X))))&
(![X]:((humble(X)&creati... | calm(john) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3064512167101169610199585
% SZS output start Proof for 3064512167101169610199585
2. ! [X0] : (happy(X0) <=> (~old(X0) & calm(X0))) [input p1]
24. happy(john) [input p23]
25. ~calm(john) [input hypothesis]
41. ! [X0] : ((happy(X0) | (old(X0) | ~calm(X0))) & ((~old(X0) & calm(X0)) | ~happy(... | 0 |
If someone is not humble or humble then john is both funny and calm.
Everyone who is humble is tall or not humble and vice versa.
Everyone who is not brave is not brave or not strong.
Everyone who is both not quiet and not old is both not calm and not creative.
Everyone who is not strong is calm and vice versa.
Everyon... | Mary is not old. | contradiction | ((?[X]:((~humble(X)|humble(X))))=>((funny(john)&calm(john))))&
(![X]:(humble(X)<=>(tall(X)|~humble(X))))&
(![X]:(~brave(X)=>(~brave(X)|~strong(X))))&
(![X]:((~quiet(X)&~old(X))=>(~calm(X)&~creative(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:((tall(X)|~strong(X))=>creative(X)))&
((~strong(alice))=>((humble(john)&~curio... | ~old(mary) | [
"p1",
"p3",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 320723218804338815125351
% SZS output start Proof for 320723218804338815125351
2. ! [X0] : (humble(X0) <=> (~humble(X0) | tall(X0))) [input p1]
4. ! [X0] : ((~old(X0) & ~quiet(X0)) => (~creative(X0) & ~calm(X0))) [input p3]
6. ! [X0] : ((~strong(X0) | tall(X0)) => creative(X0)) [input p5]... | 0 |
If someone is either not quiet or old then susan is wise and vice versa.
If mary is quiet then someone is either not rich or calm.
If someone is not generous then mary is either not tall or strong.
If someone is both not happy and not patient then fred is not kind or generous.
Everyone who is either not quiet or creati... | Mary is brave. | contradiction | ((?[X]:((~quiet(X)<~>old(X))))<=>(wise(susan)))&
((quiet(mary))=>(?[X]:((~rich(X)<~>calm(X)))))&
((?[X]:(~generous(X)))=>((~tall(mary)<~>strong(mary))))&
((?[X]:((~happy(X)&~patient(X))))=>((~kind(fred)|generous(fred))))&
(![X]:((~quiet(X)<~>creative(X))=>~tall(X)))&
(![X]:((~calm(X)&~happy(X))<=>(tall(X)|generous(X)))... | brave(mary) | [
"p7",
"p8",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7486863425515557062552181
% SZS output start Proof for 7486863425515557062552181
8. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> (brave(X0) & humble(X0))) [input p7]
9. ! [X0] : ((calm(X0) <~> quiet(X0)) => (~humble(X0) & ~patient(X0))) [input p8]
10. ! [X0] : ((calm(X0) & ~curious(X0)) <=> pat... | 0 |
If someone is not humble or not brave then someone is not kind.
If fred is strong then someone is both kind and not strong.
Everyone who is both not rich and curious is not strong and vice versa.
Everyone who is either humble or quiet is not kind and vice versa.
Everyone who is both funny and not patient is both patien... | Fred is not generous. | neutral | ((?[X]:((~humble(X)|~brave(X))))=>(?[X]:(~kind(X))))&
((strong(fred))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((~rich(X)&curious(X))<=>~strong(X)))&
(![X]:((humble(X)<~>quiet(X))<=>~kind(X)))&
(![X]:((funny(X)&~patient(X))=>(patient(X)&brave(X))))&
(![X]:(~tall(X)=>generous(X)))&
((patient(fred))<=>(?[X]:((kind(X)|tall(... | ~generous(fred) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. Everyone who is old or patient is both not old and not strong. Everyone who is not strong or not happy is both not happy and kind. Everyone who is not kind or generous is calm and vice versa. If john is ... | Fred is humble. | contradiction | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
(![X]:((old(X)|patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((c... | humble(fred) | [
"p0",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 419393738756386574269156
% SZS output start Proof for 419393738756386574269156
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
3. ! [X0] : ((patient(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p2]
7. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(X0... | 0 |
Everyone who is both not calm and quiet is both not tall and not patient and vice versa.
If fred is either funny or not kind then someone is not tall or not brave.
If someone is both not wise and not calm then someone is old and vice versa.
Everyone who is both not patient and not brave is both brave and not humble.
Ev... | Alice is not patient. | entailment | (![X]:((~calm(X)&quiet(X))<=>(~tall(X)&~patient(X))))&
(((funny(fred)<~>~kind(fred)))=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((~wise(X)&~calm(X))))<=>(?[X]:(old(X))))&
(![X]:((~patient(X)&~brave(X))=>(brave(X)&~humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)|generous(X))))&
(((~tall(lucy)<~>funny(lucy)))<=>(?[X]:((genero... | ~patient(alice) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7787083628913923953213812
% SZS output start Proof for 7787083628913923953213812
5. ! [X0] : (~quiet(X0) <=> (generous(X0) | patient(X0))) [input p4]
8. ! [X0] : ((~generous(X0) | generous(X0)) <=> (quiet(X0) & ~tall(X0))) [input p7]
22. patient(alice) [input hypothesis]
44. ! [X0] : ((~q... | 0 |
Everyone who is either not curious or not calm is either happy or not funny and vice versa.
Everyone who is both not strong and not brave is either creative or not curious.
Everyone who is both not humble and patient is both creative and funny and vice versa.
Everyone who is rich or happy is not wise and vice versa.
Ev... | Fred is not calm. | neutral | (![X]:((~curious(X)<~>~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((~strong(X)&~brave(X))=>(creative(X)<~>~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(creative(X)&funny(X))))&
(![X]:((rich(X)|happy(X))<=>~wise(X)))&
(![X]:((~funny(X)|old(X))<=>(~wise(X)&strong(X))))&
(![X]:((humble(X)|~humble(X))<=>creative(X)))&
... | ~calm(fred) | [] | null | 0 |
If someone is not calm then lucy is not curious or not brave and vice versa. If alice is not curious then someone is brave or not happy and vice versa. If paul is either not funny or humble then someone is either not funny or not happy. If someone is not creative or not tall then someone is both wise and not patient an... | Paul is not patient. | contradiction | ((?[X]:(~calm(X)))<=>((~curious(lucy)|~brave(lucy))))&
((~curious(alice))<=>(?[X]:((brave(X)|~happy(X)))))&
(((~funny(paul)<~>humble(paul)))=>(?[X]:((~funny(X)<~>~happy(X)))))&
((?[X]:((~creative(X)|~tall(X))))<=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:(~generous(X)=>(funny(X)<~>~old(X))))&
(![X]:((~brave(X)<~>~funny(X)... | ~patient(paul) | [
"p5",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1031813016770346419888027
% SZS output start Proof for 1031813016770346419888027
6. ! [X0] : ((~brave(X0) <~> ~funny(X0)) => (quiet(X0) <~> strong(X0))) [input p5]
9. (~quiet(alice) | brave(alice)) <=> ? [X0] : strong(X0) [input p8]
10. ! [X0] : ((~old(X0) | ~patient(X0)) => (brave(X0) <~... | 0 |
If john is kind then john is both old and not rich and vice versa.
If susan is both calm and tall then alice is wise.
If someone is not calm then someone is not curious or wise and vice versa.
Everyone who is both not calm and quiet is both not rich and rich.
Everyone who is either curious or calm is both strong and cr... | John is not calm. | entailment | ((kind(john))<=>((old(john)&~rich(john))))&
(((calm(susan)&tall(susan)))=>(wise(alice)))&
((?[X]:(~calm(X)))<=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((~calm(X)&quiet(X))=>(~rich(X)&rich(X))))&
(![X]:((curious(X)<~>calm(X))=>(strong(X)&creative(X))))&
((?[X]:((old(X)|tall(X))))=>((~generous(alice)<~>~funny(alice))))&
(... | ~calm(john) | [
"p0",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2414561918600246636310342
% SZS output start Proof for 2414561918600246636310342
1. kind(john) <=> (~rich(john) & old(john)) [input p0]
8. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (kind(X0) & ~old(X0))) [input p7]
10. ! [X0] : (calm(X0) => (~happy(X0) & calm(X0))) [input p9]
13. ! [X0] : ((~... | 0 |
If paul is not happy or quiet then someone is not wise or not quiet. Everyone who is not happy or not old is not kind or not patient and vice versa. If fred is not happy or calm then mary is both happy and patient and vice versa. Everyone who is either not funny or patient is both not funny and not curious. If someone ... | Paul is not quiet. | entailment | (((~happy(paul)|quiet(paul)))=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:((~happy(X)|~old(X))<=>(~kind(X)|~patient(X))))&
(((~happy(fred)|calm(fred)))<=>((happy(mary)&patient(mary))))&
(![X]:((~funny(X)<~>patient(X))=>(~funny(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((~creativ... | ~quiet(paul) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4553293151428624157554578
% SZS output start Proof for 4553293151428624157554578
12. ? [X0] : (~tall(X0) | tall(X0)) <=> ~humble(paul) [input p11]
14. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> humble(X0)) [input p13]
16. ! [X0] : ((tall(X0) | wise(X0)) <=> (~tall(X0) <~> ~quiet(X0))) [inp... | 0 |
If fred is quiet then someone is not brave or not creative and vice versa.
If someone is either not rich or calm then someone is either not kind or brave.
Everyone who is both old and not curious is both brave and wise and vice versa.
If someone is either not patient or rich then fred is calm.
Everyone who is not wise ... | Susan is not rich. | neutral | ((quiet(fred))<=>(?[X]:((~brave(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>calm(X))))=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:((old(X)&~curious(X))<=>(brave(X)&wise(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(calm(fred)))&
(![X]:(~wise(X)<=>(curious(X)&wise(X))))&
(![X]:((generous(X)&curious(X))<=>(~strong(X)|~old(X))))&
... | ~rich(susan) | [] | null | 0 |
If someone is not creative or not humble then john is either not funny or rich.
If fred is not funny then susan is not humble or not wise and vice versa.
Everyone who is creative or not rich is both not kind and not humble.
If john is either wise or not tall then someone is either kind or not creative.
If paul is not c... | Fred is not creative. | entailment | ((?[X]:((~creative(X)|~humble(X))))=>((~funny(john)<~>rich(john))))&
((~funny(fred))<=>((~humble(susan)|~wise(susan))))&
(![X]:((creative(X)|~rich(X))=>(~kind(X)&~humble(X))))&
(((wise(john)<~>~tall(john)))=>(?[X]:((kind(X)<~>~creative(X)))))&
((~curious(paul))=>(?[X]:((~calm(X)<~>wise(X)))))&
((?[X]:((~quiet(X)|~patie... | ~creative(fred) | [
"p2",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2968364885267859128934780
% SZS output start Proof for 2968364885267859128934780
3. ! [X0] : ((~rich(X0) | creative(X0)) => (~humble(X0) & ~kind(X0))) [input p2]
7. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~happy(X0) <~> ~generous(X0))) [input p6]
9. ! [X0] : ((~old(X0) <~> strong(X0)) =... | 0 |
If john is not brave then someone is not tall.
If fred is either creative or not calm then someone is quiet.
If someone is kind or tall then john is both not wise and not strong and vice versa.
If someone is not patient then someone is not rich or not calm and vice versa.
Everyone who is not kind or not curious is both... | Mary is not curious. | contradiction | ((~brave(john))=>(?[X]:(~tall(X))))&
(((creative(fred)<~>~calm(fred)))=>(?[X]:(quiet(X))))&
((?[X]:((kind(X)|tall(X))))<=>((~wise(john)&~strong(john))))&
((?[X]:(~patient(X)))<=>(?[X]:((~rich(X)|~calm(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(creative(X)&~calm(X))))&
(![X]:(funny(X)=>~old(X)))&
(![X]:(patient(X)=>(~calm... | ~curious(mary) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7608109574332250020660644
% SZS output start Proof for 7608109574332250020660644
5. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> (~calm(X0) & creative(X0))) [input p4]
23. ~creative(mary) [input p22]
24. ~curious(mary) [input hypothesis]
54. ! [X0] : (((~curious(X0) | ~kind(X0)) | (calm(X0) |... | 0 |
If someone is kind then someone is not generous and vice versa.
Everyone who is not funny is either not patient or not tall.
Everyone who is either not patient or funny is not happy and vice versa.
If fred is tall or not tall then someone is kind.
If someone is either not patient or not wise then someone is either not ... | Mary is happy. | neutral | ((?[X]:(kind(X)))<=>(?[X]:(~generous(X))))&
(![X]:(~funny(X)=>(~patient(X)<~>~tall(X))))&
(![X]:((~patient(X)<~>funny(X))<=>~happy(X)))&
(((tall(fred)|~tall(fred)))=>(?[X]:(kind(X))))&
((?[X]:((~patient(X)<~>~wise(X))))<=>(?[X]:((~calm(X)<~>~old(X)))))&
((tall(john))=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~strong(X)|~br... | happy(mary) | [] | null | 0 |
If someone is not wise then someone is not tall. Everyone who is quiet or patient is either not kind or not patient. Everyone who is either not wise or not generous is not rich or calm. Everyone who is both funny and kind is either wise or not rich and vice versa. If someone is both not curious and patient then fred is... | Alice is not tall. | entailment | ((?[X]:(~wise(X)))=>(?[X]:(~tall(X))))&
(![X]:((quiet(X)|patient(X))=>(~kind(X)<~>~patient(X))))&
(![X]:((~wise(X)<~>~generous(X))=>(~rich(X)|calm(X))))&
(![X]:((funny(X)&kind(X))<=>(wise(X)<~>~rich(X))))&
((?[X]:((~curious(X)&patient(X))))=>(creative(fred)))&
(![X]:(brave(X)=>(humble(X)<~>~patient(X))))&
(![X]:((old(X... | ~tall(alice) | [
"p1",
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1616174203003057237195858
% SZS output start Proof for 1616174203003057237195858
2. ! [X0] : ((patient(X0) | quiet(X0)) => (~kind(X0) <~> ~patient(X0))) [input p1]
4. ! [X0] : ((kind(X0) & funny(X0)) <=> (wise(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> ~kind(X... | 0 |
If susan is either not funny or not kind then john is calm and vice versa.
Everyone who is not old or not happy is not quiet and vice versa.
Everyone who is not curious or humble is either funny or not funny.
Everyone who is not kind is rich or not calm.
If lucy is both not curious and not tall then paul is either not ... | John is not wise. | neutral | (((~funny(susan)<~>~kind(susan)))<=>(calm(john)))&
(![X]:((~old(X)|~happy(X))<=>~quiet(X)))&
(![X]:((~curious(X)|humble(X))=>(funny(X)<~>~funny(X))))&
(![X]:(~kind(X)=>(rich(X)|~calm(X))))&
(((~curious(lucy)&~tall(lucy)))<=>((~rich(paul)<~>rich(paul))))&
(![X]:((rich(X)<~>funny(X))=>(~rich(X)|~kind(X))))&
(((old(fred)&... | ~wise(john) | [] | null | 0 |
If someone is calm then paul is both not rich and happy and vice versa. Everyone who is not kind is not curious. If someone is either patient or not humble then someone is either humble or not strong. If mary is not calm or creative then john is not brave or not rich. If susan is both funny and not funny then someone i... | John is brave. | neutral | ((?[X]:(calm(X)))<=>((~rich(paul)&happy(paul))))&
(![X]:(~kind(X)=>~curious(X)))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)<~>~strong(X)))))&
(((~calm(mary)|creative(mary)))=>((~brave(john)|~rich(john))))&
(((funny(susan)&~funny(susan)))=>(?[X]:((~curious(X)<~>creative(X)))))&
(![X]:((creative(X)|~creative... | brave(john) | [] | null | 0 |
If someone is both tall and happy then someone is not strong.
If alice is either funny or curious then mary is curious.
Everyone who is brave or kind is strong or happy and vice versa.
Everyone who is not humble or not tall is either not generous or not creative and vice versa.
Everyone who is both wise and not funny i... | Lucy is rich. | neutral | ((?[X]:((tall(X)&happy(X))))=>(?[X]:(~strong(X))))&
(((funny(alice)<~>curious(alice)))=>(curious(mary)))&
(![X]:((brave(X)|kind(X))<=>(strong(X)|happy(X))))&
(![X]:((~humble(X)|~tall(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:((wise(X)&~funny(X))<=>(curious(X)&~old(X))))&
(((wise(john)&~happy(john)))<=>((~funny(alice... | rich(lucy) | [] | null | 0 |
Everyone who is wise or not patient is not kind and vice versa.
Everyone who is not patient is not calm and vice versa.
Everyone who is humble is both tall and humble.
Everyone who is not tall is funny or not calm and vice versa.
Everyone who is either kind or not strong is either creative or not patient and vice versa... | Paul is not creative. | contradiction | (![X]:((wise(X)|~patient(X))<=>~kind(X)))&
(![X]:(~patient(X)<=>~calm(X)))&
(![X]:(humble(X)=>(tall(X)&humble(X))))&
(![X]:(~tall(X)<=>(funny(X)|~calm(X))))&
(![X]:((kind(X)<~>~strong(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((wise(X)<~>~creative(X))<=>(~humble(X)<~>strong(X))))&
((?[X]:((tall(X)&funny(X))))<=>(?[X]:... | ~creative(paul) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4846639428192546527877944
% SZS output start Proof for 4846639428192546527877944
1. ! [X0] : ((~patient(X0) | wise(X0)) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~patient(X0) <=> ~calm(X0)) [input p1]
4. ! [X0] : (~tall(X0) <=> (~calm(X0) | funny(X0))) [input p3]
5. ! [X0] : ((kind(X0) <~> ~... | 0 |
Everyone who is both not calm and not tall is old and vice versa. If mary is either rich or not wise then susan is either not generous or not wise and vice versa. If someone is not brave or not generous then someone is not wise or not rich and vice versa. Everyone who is both creative and not tall is not quiet or not g... | Fred is not curious. | contradiction | (![X]:((~calm(X)&~tall(X))<=>old(X)))&
(((rich(mary)<~>~wise(mary)))<=>((~generous(susan)<~>~wise(susan))))&
((?[X]:((~brave(X)|~generous(X))))<=>(?[X]:((~wise(X)|~rich(X)))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>... | ~curious(fred) | [
"p7",
"p8",
"p9",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6462259659405498640475446
% SZS output start Proof for 6462259659405498640475446
8. ! [X0] : ((~happy(X0) | tall(X0)) <=> (curious(X0) <~> wise(X0))) [input p7]
9. ! [X0] : ((wise(X0) & ~creative(X0)) <=> strong(X0)) [input p8]
10. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X0) & ~r... | 0 |
Everyone who is either not tall or not strong is both patient and humble. If someone is funny or not generous then someone is not tall or brave. If someone is not quiet or not calm then someone is quiet and vice versa. If someone is either rich or curious then john is not curious. Everyone who is rich is both old and n... | Paul is brave. | neutral | (![X]:((~tall(X)<~>~strong(X))=>(patient(X)&humble(X))))&
((?[X]:((funny(X)|~generous(X))))=>(?[X]:((~tall(X)|brave(X)))))&
((?[X]:((~quiet(X)|~calm(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((rich(X)<~>curious(X))))=>(~curious(john)))&
(![X]:(rich(X)<=>(old(X)&~quiet(X))))&
(![X]:((~curious(X)<~>curious(X))=>(~funny(X)&~stro... | brave(paul) | [] | null | 0 |
Everyone who is wise is not tall or funny and vice versa.
If someone is not wise or brave then someone is not strong or rich.
If someone is either kind or wise then fred is not brave and vice versa.
If mary is both happy and not kind then someone is not patient or brave and vice versa.
If someone is either curious or c... | Fred is curious. | neutral | (![X]:(wise(X)<=>(~tall(X)|funny(X))))&
((?[X]:((~wise(X)|brave(X))))=>(?[X]:((~strong(X)|rich(X)))))&
((?[X]:((kind(X)<~>wise(X))))<=>(~brave(fred)))&
(((happy(mary)&~kind(mary)))<=>(?[X]:((~patient(X)|brave(X)))))&
((?[X]:((curious(X)<~>calm(X))))=>((~curious(john)|rich(john))))&
(((strong(susan)<~>old(susan)))<=>(pa... | curious(fred) | [] | null | 0 |
Everyone who is not funny is curious or not tall. Everyone who is either not calm or rich is wise and vice versa. If susan is not generous then fred is both tall and not curious. If lucy is not generous then john is both not brave and creative. If paul is patient then someone is humble or patient and vice versa. Everyo... | Paul is not kind. | entailment | (![X]:(~funny(X)=>(curious(X)|~tall(X))))&
(![X]:((~calm(X)<~>rich(X))<=>wise(X)))&
((~generous(susan))=>((tall(fred)&~curious(fred))))&
((~generous(lucy))=>((~brave(john)&creative(john))))&
((patient(paul))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:(generous(X)<=>(~kind(X)<~>~generous(X))))&
(![X]:((rich(X)|wise(X))=>... | ~kind(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3692646733559838815382028
% SZS output start Proof for 3692646733559838815382028
6. ! [X0] : (generous(X0) <=> (~kind(X0) <~> ~generous(X0))) [input p5]
21. kind(paul) [input hypothesis]
37. ! [X0] : ((generous(X0) | ((~kind(X0) | generous(X0)) & (~generous(X0) | kind(X0)))) & (((generous... | 0 |
If someone is either brave or not curious then someone is strong or curious.
If someone is either generous or calm then fred is both not kind and rich and vice versa.
Everyone who is either wise or not strong is either calm or not calm.
If lucy is humble or not wise then susan is not funny or strong.
Everyone who is ei... | Lucy is not patient. | contradiction | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((generous(X)<~>calm(X))))<=>((~kind(fred)&rich(fred))))&
(![X]:((wise(X)<~>~strong(X))=>(calm(X)<~>~calm(X))))&
(((humble(lucy)|~wise(lucy)))=>((~funny(susan)|strong(susan))))&
(![X]:((~tall(X)<~>curious(X))=>~tall(X)))&
((generous(susan))<=>... | ~patient(lucy) | [
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1439401666736041663760877
% SZS output start Proof for 1439401666736041663760877
7. ! [X0] : (patient(X0) <=> strong(X0)) [input p6]
9. ! [X0] : ((patient(X0) & ~creative(X0)) <=> ~brave(X0)) [input p8]
14. ! [X0] : ((happy(X0) | brave(X0)) <=> (strong(X0) & humble(X0))) [input p13]
22. ~... | 0 |
Everyone who is tall or creative is both happy and not old and vice versa.
If someone is not creative or wise then paul is either funny or not quiet and vice versa.
Everyone who is not patient or not strong is not quiet.
Everyone who is not happy is not strong or not happy and vice versa.
If someone is happy then someo... | Paul is not wise. | neutral | (![X]:((tall(X)|creative(X))<=>(happy(X)&~old(X))))&
((?[X]:((~creative(X)|wise(X))))<=>((funny(paul)<~>~quiet(paul))))&
(![X]:((~patient(X)|~strong(X))=>~quiet(X)))&
(![X]:(~happy(X)<=>(~strong(X)|~happy(X))))&
((?[X]:(happy(X)))=>(?[X]:(funny(X))))&
((?[X]:((calm(X)<~>generous(X))))=>(?[X]:(quiet(X))))&
((rich(fred))... | ~wise(paul) | [] | null | 0 |
If paul is wise or not old then fred is both quiet and not quiet and vice versa. Everyone who is either kind or generous is both not curious and not funny and vice versa. Everyone who is both not old and not quiet is either not old or not quiet and vice versa. Everyone who is generous is curious or old and vice versa. ... | Mary is not tall. | neutral | (((wise(paul)|~old(paul)))<=>((quiet(fred)&~quiet(fred))))&
(![X]:((kind(X)<~>generous(X))<=>(~curious(X)&~funny(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~old(X)<~>~quiet(X))))&
(![X]:(generous(X)<=>(curious(X)|old(X))))&
(![X]:((strong(X)|~curious(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((funny(X)&~patient(X))<=>(old(X)&~p... | ~tall(mary) | [] | null | 0 |
If someone is both not old and rich then alice is not old or humble and vice versa.
Everyone who is both brave and not creative is not brave or not rich and vice versa.
If someone is both kind and happy then john is both curious and generous and vice versa.
Everyone who is not calm or curious is not humble or not curio... | Mary is humble. | entailment | ((?[X]:((~old(X)&rich(X))))<=>((~old(alice)|humble(alice))))&
(![X]:((brave(X)&~creative(X))<=>(~brave(X)|~rich(X))))&
((?[X]:((kind(X)&happy(X))))<=>((curious(john)&generous(john))))&
(![X]:((~calm(X)|curious(X))=>(~humble(X)|~curious(X))))&
((?[X]:((old(X)<~>brave(X))))<=>(?[X]:((~rich(X)|wise(X)))))&
((?[X]:((old(X)... | humble(mary) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 429303427594668103327978
% SZS output start Proof for 429303427594668103327978
2. ! [X0] : ((~creative(X0) & brave(X0)) <=> (~rich(X0) | ~brave(X0))) [input p1]
7. ! [X0] : ((~brave(X0) & ~patient(X0)) <=> (~rich(X0) | ~humble(X0))) [input p6]
23. ~humble(mary) [input hypothesis]
37. ! [X... | 0 |
Everyone who is either strong or not wise is happy and vice versa. Everyone who is curious is calm. Everyone who is either curious or not brave is strong and vice versa. Everyone who is either not wise or not kind is both quiet and brave and vice versa. Everyone who is both curious and not creative is not funny or calm... | Alice is not wise. | neutral | (![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~brave(X)|quiet(X))<=>quiet(X)))... | ~wise(alice) | [] | null | 0 |
Everyone who is either strong or funny is curious.
If lucy is both not calm and not creative then someone is either not generous or rich.
Everyone who is either patient or tall is either strong or rich.
Everyone who is quiet or creative is not kind and vice versa.
Everyone who is both happy and not funny is either not ... | Fred is old. | contradiction | (![X]:((strong(X)<~>funny(X))=>curious(X)))&
(((~calm(lucy)&~creative(lucy)))=>(?[X]:((~generous(X)<~>rich(X)))))&
(![X]:((patient(X)<~>tall(X))=>(strong(X)<~>rich(X))))&
(![X]:((quiet(X)|creative(X))<=>~kind(X)))&
(![X]:((happy(X)&~funny(X))<=>(~calm(X)<~>~curious(X))))&
(![X]:((quiet(X)&~generous(X))<=>(~tall(X)&~pat... | old(fred) | [
"p6",
"p8",
"p10",
"p12",
"p14",
"p18",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1889900619453429676233903
% SZS output start Proof for 1889900619453429676233903
7. (calm(fred) | ~rich(fred)) <=> ? [X0] : (creative(X0) | ~brave(X0)) [input p6]
9. ? [X0] : curious(X0) => rich(fred) [input p8]
11. ! [X0] : (brave(X0) <=> (~patient(X0) | creative(X0))) [input p10]
13. ! ... | 0 |
Everyone who is brave or creative is not kind and vice versa.
Everyone who is both not brave and funny is either quiet or patient and vice versa.
Everyone who is either not wise or not quiet is not generous or not curious.
Everyone who is not tall is curious and vice versa.
If fred is either tall or kind then someone i... | Susan is not kind. | contradiction | (![X]:((brave(X)|creative(X))<=>~kind(X)))&
(![X]:((~brave(X)&funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~generous(X)|~curious(X))))&
(![X]:(~tall(X)<=>curious(X)))&
(((tall(fred)<~>kind(fred)))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(brave(X)|funny(X))))&
(![... | ~kind(susan) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2721863256682778778659549
% SZS output start Proof for 2721863256682778778659549
8. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~creative(X0))) [input p7]
11. ? [X0] : ~kind(X0) <=> ? [X0] : (generous(X0) & ~creative(X0)) [input p10]
21. ~kind(susan) [input hypothesis]
22. ? [X0] : ~kind(X0... | 0 |
If someone is creative or old then lucy is not brave and vice versa. Everyone who is either curious or not old is not old or strong and vice versa. Everyone who is kind or calm is either not happy or brave and vice versa. If someone is both not brave and quiet then someone is kind or brave and vice versa. Everyone who ... | Mary is creative. | neutral | ((?[X]:((creative(X)|old(X))))<=>(~brave(lucy)))&
(![X]:((curious(X)<~>~old(X))<=>(~old(X)|strong(X))))&
(![X]:((kind(X)|calm(X))<=>(~happy(X)<~>brave(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>(?[X]:((kind(X)|brave(X)))))&
(![X]:((kind(X)&~happy(X))<=>(kind(X)|patient(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(calm(fred... | creative(mary) | [] | null | 0 |
Everyone who is not generous is either not creative or not funny and vice versa.
Everyone who is generous or happy is tall and vice versa.
If someone is either not tall or not creative then mary is both rich and not wise.
Everyone who is not humble is either happy or strong and vice versa.
If someone is both creative a... | Mary is not quiet. | entailment | (![X]:(~generous(X)<=>(~creative(X)<~>~funny(X))))&
(![X]:((generous(X)|happy(X))<=>tall(X)))&
((?[X]:((~tall(X)<~>~creative(X))))=>((rich(mary)&~wise(mary))))&
(![X]:(~humble(X)<=>(happy(X)<~>strong(X))))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
(![X]:((curious(X)&~curious(X))<=>(rich(X)&q... | ~quiet(mary) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2307403126182111514123101
% SZS output start Proof for 2307403126182111514123101
1. ! [X0] : (~generous(X0) <=> (~creative(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((happy(X0) | generous(X0)) <=> tall(X0)) [input p1]
3. ? [X0] : (~tall(X0) <~> ~creative(X0)) => (~wise(mary) & rich(mary... | 0 |
If someone is quiet then mary is patient or happy.
Everyone who is not old or wise is quiet or not calm and vice versa.
If someone is both quiet and not strong then someone is rich or kind.
Everyone who is either not generous or not rich is happy and vice versa.
If susan is not calm then fred is humble and vice versa.
... | Mary is generous. | entailment | ((?[X]:(quiet(X)))=>((patient(mary)|happy(mary))))&
(![X]:((~old(X)|wise(X))<=>(quiet(X)|~calm(X))))&
((?[X]:((quiet(X)&~strong(X))))=>(?[X]:((rich(X)|kind(X)))))&
(![X]:((~generous(X)<~>~rich(X))<=>happy(X)))&
((~calm(susan))<=>(humble(fred)))&
(![X]:((~old(X)&strong(X))<=>(~calm(X)&quiet(X))))&
(![X]:((~rich(X)<~>str... | generous(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1536749832689839407967108
% SZS output start Proof for 1536749832689839407967108
1. ? [X0] : quiet(X0) => (happy(mary) | patient(mary)) [input p0]
2. ! [X0] : ((wise(X0) | ~old(X0)) <=> (~calm(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> happy(X0)) [input p3... | 0 |
Everyone who is kind or not brave is either funny or curious and vice versa. If paul is both not strong and not rich then fred is either curious or tall. Everyone who is brave is both happy and not quiet and vice versa. If mary is not calm or not creative then someone is not tall and vice versa. If someone is not quiet... | Fred is not wise. | entailment | (![X]:((kind(X)|~brave(X))<=>(funny(X)<~>curious(X))))&
(((~strong(paul)&~rich(paul)))=>((curious(fred)<~>tall(fred))))&
(![X]:(brave(X)<=>(happy(X)&~quiet(X))))&
(((~calm(mary)|~creative(mary)))<=>(?[X]:(~tall(X))))&
((?[X]:(~quiet(X)))=>(~wise(john)))&
((?[X]:((~funny(X)&~strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~... | ~wise(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2798254301553891824438440
% SZS output start Proof for 2798254301553891824438440
21. ~rich(fred) & ~wise(fred) [input p20]
25. wise(fred) [input hypothesis]
129. ~wise(fred) [cnf transformation 21]
136. wise(fred) [cnf transformation 25]
288. $false [subsumption resolution 136,129]
% SZS ... | 0 |
If fred is not happy or not generous then someone is both not humble and brave and vice versa.
Everyone who is either rich or not happy is both not patient and generous and vice versa.
Everyone who is either patient or funny is either not generous or rich and vice versa.
Everyone who is both not strong and not happy is... | Alice is funny. | contradiction | (((~happy(fred)|~generous(fred)))<=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)&generous(X))))&
(![X]:((patient(X)<~>funny(X))<=>(~generous(X)<~>rich(X))))&
(![X]:((~strong(X)&~happy(X))=>(~quiet(X)&tall(X))))&
(![X]:(rich(X)=>calm(X)))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((strong(... | funny(alice) | [
"p1",
"p2",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2155780628530514831936483
% SZS output start Proof for 2155780628530514831936483
2. ! [X0] : ((rich(X0) <~> ~happy(X0)) <=> (generous(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) <~> funny(X0)) <=> (~generous(X0) <~> rich(X0))) [input p2]
7. ! [X0] : ((kind(X0) <~> ~happy(X0)... | 0 |
If someone is brave then alice is both not quiet and not calm.
Everyone who is rich or not curious is both not kind and rich.
Everyone who is patient or curious is either patient or creative and vice versa.
Everyone who is either not creative or not calm is both kind and quiet.
If mary is both kind and not quiet then s... | Paul is not calm. | entailment | ((?[X]:(brave(X)))=>((~quiet(alice)&~calm(alice))))&
(![X]:((rich(X)|~curious(X))=>(~kind(X)&rich(X))))&
(![X]:((patient(X)|curious(X))<=>(patient(X)<~>creative(X))))&
(![X]:((~creative(X)<~>~calm(X))=>(kind(X)&quiet(X))))&
(((kind(mary)&~quiet(mary)))<=>(?[X]:((happy(X)<~>~calm(X)))))&
((creative(paul))=>((generous(lu... | ~calm(paul) | [
"p1",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 294913725819282269876812
% SZS output start Proof for 294913725819282269876812
2. ! [X0] : ((~curious(X0) | rich(X0)) => (rich(X0) & ~kind(X0))) [input p1]
13. ! [X0] : ((old(X0) | calm(X0)) => (~rich(X0) & ~old(X0))) [input p12]
15. ! [X0] : ((curious(X0) & ~old(X0)) => ~curious(X0)) [in... | 0 |
If alice is both kind and not humble then someone is both not funny and not creative and vice versa.
If someone is either happy or generous then alice is either brave or rich and vice versa.
If susan is either not tall or strong then someone is both not creative and humble and vice versa.
Everyone who is either tall or... | Alice is not rich. | contradiction | (((kind(alice)&~humble(alice)))<=>(?[X]:((~funny(X)&~creative(X)))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(alice)<~>rich(alice))))&
(((~tall(susan)<~>strong(susan)))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)<~>~humble(X))))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:(kind(X))... | ~rich(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6638268031181461185368028
% SZS output start Proof for 6638268031181461185368028
21. rich(alice) [input p20]
25. ~rich(alice) [input hypothesis]
150. rich(alice) [cnf transformation 21]
156. ~rich(alice) [cnf transformation 25]
185. 6 <=> rich(alice) [avatar definition]
359. 6 [avatar spl... | 0 |
If fred is tall or not patient then paul is not kind or happy and vice versa. Everyone who is quiet is kind. Everyone who is either rich or funny is either strong or generous and vice versa. Everyone who is either tall or creative is quiet or not strong. Everyone who is both not tall and wise is not curious and vice ve... | Fred is rich. | entailment | (((tall(fred)|~patient(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:(quiet(X)=>kind(X)))&
(![X]:((rich(X)<~>funny(X))<=>(strong(X)<~>generous(X))))&
(![X]:((tall(X)<~>creative(X))=>(quiet(X)|~strong(X))))&
(![X]:((~tall(X)&wise(X))<=>~curious(X)))&
(![X]:(generous(X)<=>(brave(X)|old(X))))&
(![X]:((~rich(X)|brave(X))<=... | rich(fred) | [
"p4",
"p5",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2393571622927216507578843
% SZS output start Proof for 2393571622927216507578843
5. ! [X0] : ((wise(X0) & ~tall(X0)) <=> ~curious(X0)) [input p4]
6. ! [X0] : (generous(X0) <=> (old(X0) | brave(X0))) [input p5]
11. ! [X0] : ((generous(X0) & kind(X0)) <=> (tall(X0) | ~brave(X0))) [input p10... | 0 |
Everyone who is patient is both funny and patient and vice versa.
If someone is either not creative or not wise then someone is both brave and tall.
If susan is not old then someone is either not calm or not brave.
Everyone who is not rich is both quiet and not funny.
Everyone who is either calm or generous is not gene... | Paul is quiet. | contradiction | (![X]:(patient(X)<=>(funny(X)&patient(X))))&
((?[X]:((~creative(X)<~>~wise(X))))=>(?[X]:((brave(X)&tall(X)))))&
((~old(susan))=>(?[X]:((~calm(X)<~>~brave(X)))))&
(![X]:(~rich(X)=>(quiet(X)&~funny(X))))&
(![X]:((calm(X)<~>generous(X))=>~generous(X)))&
(((~humble(susan)|generous(susan)))<=>(?[X]:((patient(X)|~kind(X)))))... | quiet(paul) | [
"p0",
"p3",
"p12",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1168658260562504659568042
% SZS output start Proof for 1168658260562504659568042
1. ! [X0] : (patient(X0) <=> (patient(X0) & funny(X0))) [input p0]
4. ! [X0] : (~rich(X0) => (~funny(X0) & quiet(X0))) [input p3]
13. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~strong(X0)) [input p12]
18. ~rich(p... | 0 |
If someone is both creative and not rich then john is either not rich or curious. If someone is not rich or not generous then someone is wise and vice versa. Everyone who is either not old or humble is both patient and not old and vice versa. Everyone who is either patient or not generous is strong. If fred is not gene... | Lucy is not strong. | entailment | ((?[X]:((creative(X)&~rich(X))))=>((~rich(john)<~>curious(john))))&
((?[X]:((~rich(X)|~generous(X))))<=>(?[X]:(wise(X))))&
(![X]:((~old(X)<~>humble(X))<=>(patient(X)&~old(X))))&
(![X]:((patient(X)<~>~generous(X))=>strong(X)))&
(((~generous(fred)|curious(fred)))<=>(?[X]:((~old(X)<~>generous(X)))))&
((?[X]:((rich(X)|happ... | ~strong(lucy) | [
"p2",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6114535350371906004999832
% SZS output start Proof for 6114535350371906004999832
3. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (~old(X0) & patient(X0))) [input p2]
10. ! [X0] : ((old(X0) | quiet(X0)) <=> (quiet(X0) <~> strong(X0))) [input p9]
17. humble(lucy) & ~creative(lucy) [input p16]
21... | 0 |
If someone is not patient or not wise then lucy is both quiet and happy.
Everyone who is not brave or wise is either curious or not generous and vice versa.
Everyone who is brave is not patient.
Everyone who is patient is either not humble or not tall and vice versa.
If alice is not happy or not curious then someone is... | Fred is patient. | contradiction | ((?[X]:((~patient(X)|~wise(X))))=>((quiet(lucy)&happy(lucy))))&
(![X]:((~brave(X)|wise(X))<=>(curious(X)<~>~generous(X))))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(patient(X)<=>(~humble(X)<~>~tall(X))))&
(((~happy(alice)|~curious(alice)))<=>(?[X]:((~tall(X)&strong(X)))))&
((?[X]:((quiet(X)|humble(X))))<=>((~tall(paul)&~... | patient(fred) | [
"p2",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5696821335568711239874154
% SZS output start Proof for 5696821335568711239874154
3. ! [X0] : (brave(X0) => ~patient(X0)) [input p2]
15. ? [X0] : (old(X0) & wise(X0)) => (creative(fred) & brave(fred)) [input p14]
19. ? [X0] : (old(X0) & wise(X0)) [input p18]
25. patient(fred) [input hypoth... | 0 |
If someone is either not creative or not curious then fred is both happy and not happy and vice versa. Everyone who is kind or calm is both not funny and tall. Everyone who is both not brave and old is either not rich or brave and vice versa. If john is either humble or not kind then fred is both tall and curious and v... | Fred is not tall. | entailment | ((?[X]:((~creative(X)<~>~curious(X))))<=>((happy(fred)&~happy(fred))))&
(![X]:((kind(X)|calm(X))=>(~funny(X)&tall(X))))&
(![X]:((~brave(X)&old(X))<=>(~rich(X)<~>brave(X))))&
(((humble(john)<~>~kind(john)))<=>((tall(fred)&curious(fred))))&
(![X]:((tall(X)<~>~kind(X))<=>(tall(X)|~calm(X))))&
((?[X]:((creative(X)&~old(X))... | ~tall(fred) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1102907205090492977301252
% SZS output start Proof for 1102907205090492977301252
8. ! [X0] : (patient(X0) <=> (old(X0) & ~patient(X0))) [input p7]
10. ! [X0] : (~old(X0) => ~tall(X0)) [input p9]
21. tall(fred) [input hypothesis]
25. ! [X0] : (~tall(X0) | old(X0)) [ennf transformation 10]
... | 0 |
If someone is either not quiet or not humble then someone is either not wise or funny. If someone is quiet or not patient then paul is curious and vice versa. Everyone who is not creative is either not generous or funny and vice versa. If someone is both curious and rich then someone is both patient and not tall and vi... | Paul is not patient. | entailment | ((?[X]:((~quiet(X)<~>~humble(X))))=>(?[X]:((~wise(X)<~>funny(X)))))&
((?[X]:((quiet(X)|~patient(X))))<=>(curious(paul)))&
(![X]:(~creative(X)<=>(~generous(X)<~>funny(X))))&
((?[X]:((curious(X)&rich(X))))<=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:(~curious(X)<=>old(X)))&
(![X]:((~old(X)<~>~happy(X))=>strong(X)))&
((?[X]:... | ~patient(paul) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6087626765616545550850339
% SZS output start Proof for 6087626765616545550850339
2. ? [X0] : (~patient(X0) | quiet(X0)) <=> curious(paul) [input p1]
5. ! [X0] : (~curious(X0) <=> old(X0)) [input p4]
9. ! [X0] : ((humble(X0) <~> tall(X0)) <=> (~tall(X0) | ~brave(X0))) [input p8]
10. ! [X0]... | 0 |
If paul is not rich then someone is brave or not brave and vice versa.
Everyone who is not curious is either creative or not brave and vice versa.
Everyone who is not quiet or not funny is both brave and strong and vice versa.
Everyone who is funny is both not humble and not kind.
Everyone who is either not humble or n... | Lucy is humble. | contradiction | ((~rich(paul))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:(~curious(X)<=>(creative(X)<~>~brave(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(brave(X)&strong(X))))&
(![X]:(funny(X)=>(~humble(X)&~kind(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>~patient(X)))&
((?[X]:(tall(X)))=>(?[X]:(calm(X))))&
((?[X]:((~curious(X)&rich(X))))=>(~ri... | humble(lucy) | [
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5629974675613956378222830
% SZS output start Proof for 5629974675613956378222830
3. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (strong(X0) & brave(X0))) [input p2]
4. ! [X0] : (funny(X0) => (~kind(X0) & ~humble(X0))) [input p3]
11. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> (brave(X0) | ~fun... | 0 |
If someone is either brave or not strong then someone is both creative and tall. If fred is both funny and not curious then alice is generous or not curious. Everyone who is not tall or not happy is both creative and kind. If susan is creative then susan is humble or not curious. If someone is either rich or not old th... | Alice is tall. | entailment | ((?[X]:((brave(X)<~>~strong(X))))=>(?[X]:((creative(X)&tall(X)))))&
(((funny(fred)&~curious(fred)))=>((generous(alice)|~curious(alice))))&
(![X]:((~tall(X)|~happy(X))=>(creative(X)&kind(X))))&
((creative(susan))=>((humble(susan)|~curious(susan))))&
((?[X]:((rich(X)<~>~old(X))))=>((~brave(john)<~>~rich(john))))&
(![X]:(... | tall(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5866077012171855592155925
% SZS output start Proof for 5866077012171855592155925
22. tall(alice) & ~funny(alice) [input p21]
24. ~tall(alice) [input hypothesis]
142. tall(alice) [cnf transformation 22]
145. ~tall(alice) [cnf transformation 24]
306. $false [subsumption resolution 145,142]
... | 0 |
If someone is not kind then paul is both patient and quiet.
If paul is both not wise and old then someone is not humble.
Everyone who is either not rich or kind is not strong or not happy and vice versa.
If someone is either not kind or old then someone is either not wise or not brave and vice versa.
Everyone who is bo... | Lucy is not funny. | neutral | ((?[X]:(~kind(X)))=>((patient(paul)&quiet(paul))))&
(((~wise(paul)&old(paul)))=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>kind(X))<=>(~strong(X)|~happy(X))))&
((?[X]:((~kind(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>~brave(X)))))&
(![X]:((~creative(X)&strong(X))=>(~rich(X)&calm(X))))&
((?[X]:((happy(X)&strong(X))))=>((~old(jo... | ~funny(lucy) | [] | null | 0 |
If fred is kind or not happy then alice is brave and vice versa.
Everyone who is not generous or happy is brave.
If mary is generous then someone is wise or not calm.
Everyone who is not curious or quiet is both generous and not humble and vice versa.
Everyone who is both generous and not old is tall and vice versa.
Ev... | Fred is not quiet. | neutral | (((kind(fred)|~happy(fred)))<=>(brave(alice)))&
(![X]:((~generous(X)|happy(X))=>brave(X)))&
((generous(mary))=>(?[X]:((wise(X)|~calm(X)))))&
(![X]:((~curious(X)|quiet(X))<=>(generous(X)&~humble(X))))&
(![X]:((generous(X)&~old(X))<=>tall(X)))&
(![X]:(happy(X)<=>(creative(X)|old(X))))&
(![X]:((quiet(X)|~tall(X))=>(~creat... | ~quiet(fred) | [] | null | 0 |
If susan is both not wise and not tall then someone is either not wise or humble. Everyone who is not calm or tall is either curious or humble and vice versa. If susan is not generous or generous then mary is both not old and not kind and vice versa. If mary is curious then paul is either not curious or not patient. If... | Mary is strong. | contradiction | (((~wise(susan)&~tall(susan)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((~calm(X)|tall(X))<=>(curious(X)<~>humble(X))))&
(((~generous(susan)|generous(susan)))<=>((~old(mary)&~kind(mary))))&
((curious(mary))=>((~curious(paul)<~>~patient(paul))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(~brave(mary)))&
(![X]:((happy(X)<... | strong(mary) | [
"p2",
"p4",
"p7",
"p8",
"p13",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 170715761056998086622955
% SZS output start Proof for 170715761056998086622955
3. (generous(susan) | ~generous(susan)) <=> (~kind(mary) & ~old(mary)) [input p2]
5. ? [X0] : (~funny(X0) <~> ~generous(X0)) <=> ~brave(mary) [input p4]
8. ? [X0] : ~quiet(X0) <=> rich(mary) [input p7]
9. ! [X0... | 0 |
Everyone who is both generous and not funny is not tall or not calm and vice versa. If someone is either brave or not creative then paul is wise and vice versa. If someone is curious then alice is both brave and not happy. If someone is not generous or not old then alice is calm or not calm. Everyone who is both not ri... | Susan is not creative. | neutral | (![X]:((generous(X)&~funny(X))<=>(~tall(X)|~calm(X))))&
((?[X]:((brave(X)<~>~creative(X))))<=>(wise(paul)))&
((?[X]:(curious(X)))=>((brave(alice)&~happy(alice))))&
((?[X]:((~generous(X)|~old(X))))=>((calm(alice)|~calm(alice))))&
(![X]:((~rich(X)&rich(X))<=>old(X)))&
(![X]:((old(X)&kind(X))<=>(tall(X)<~>~wise(X))))&
(((... | ~creative(susan) | [] | null | 0 |
If someone is not old or not calm then someone is rich or not brave.
Everyone who is curious or patient is both humble and not humble.
Everyone who is both funny and not wise is creative or patient and vice versa.
Everyone who is not tall is funny or humble and vice versa.
Everyone who is happy or generous is both stro... | Susan is brave. | neutral | ((?[X]:((~old(X)|~calm(X))))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~humble(X))))&
(![X]:((funny(X)&~wise(X))<=>(creative(X)|patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|humble(X))))&
(![X]:((happy(X)|generous(X))=>(strong(X)&generous(X))))&
(((creative(lucy)|strong(lucy)))<=>((~funny(... | brave(susan) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is not humble or funny. Everyone who is generous is curious. If someone is happy or not brave then someone is either not quiet or curious. If someone is not humble or not wise then mary is both funny and not curious and vice ve... | Fred is quiet. | neutral | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(... | quiet(fred) | [] | null | 0 |
If someone is quiet or old then someone is either not kind or generous and vice versa.
Everyone who is not calm is not kind or not humble.
If someone is either not brave or creative then someone is either not quiet or not creative.
If someone is either brave or creative then john is not humble or not calm.
If mary is h... | Lucy is not tall. | neutral | ((?[X]:((quiet(X)|old(X))))<=>(?[X]:((~kind(X)<~>generous(X)))))&
(![X]:(~calm(X)=>(~kind(X)|~humble(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:((~quiet(X)<~>~creative(X)))))&
((?[X]:((brave(X)<~>creative(X))))=>((~humble(john)|~calm(john))))&
(((humble(mary)|~rich(mary)))<=>(?[X]:((humble(X)<~>brave(X)))))&
(![... | ~tall(lucy) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.