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 either happy or rich is tall or not wise and vice versa.
Everyone who is not kind is not tall or generous and vice versa.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is either humble or quiet and vice versa.
Everyone who is wise or not curious is eit... | Lucy is not generous. | entailment | (![X]:((happy(X)<~>rich(X))<=>(tall(X)|~wise(X))))&
(![X]:(~kind(X)<=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curious(X))<=>(~wise(X)<~>humble(X))))&
(![X]:(wise(X)=>(~strong(X)&rich(X))))&
((?[X]:(~calm(X)... | ~generous(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p9",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 549003090926678442753281
% SZS output start Proof for 549003090926678442753281
2. ! [X0] : (~kind(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
3. ! [X0] : ((~brave(X0) | ~strong(X0)) => (kind(X0) & curious(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~wise(X0) <~> humble... | 0 |
If john is either tall or not generous then someone is tall or not happy.
Everyone who is both not calm and not rich is either old or not old and vice versa.
Everyone who is patient is both not curious and curious and vice versa.
If someone is calm or happy then susan is both old and not tall.
If john is not generous o... | John is not generous. | neutral | (((tall(john)<~>~generous(john)))=>(?[X]:((tall(X)|~happy(X)))))&
(![X]:((~calm(X)&~rich(X))<=>(old(X)<~>~old(X))))&
(![X]:(patient(X)<=>(~curious(X)&curious(X))))&
((?[X]:((calm(X)|happy(X))))=>((old(susan)&~tall(susan))))&
(((~generous(john)|~calm(john)))<=>(?[X]:((strong(X)<~>tall(X)))))&
(![X]:((calm(X)&~tall(X))<=... | ~generous(john) | [] | null | 0 |
If mary is not creative or curious then paul is either not kind or not curious.
Everyone who is not quiet or generous is both not creative and not wise and vice versa.
Everyone who is not quiet is calm.
Everyone who is either not patient or funny is both not old and humble and vice versa.
If alice is not kind or funny ... | Paul is old. | entailment | (((~creative(mary)|curious(mary)))=>((~kind(paul)<~>~curious(paul))))&
(![X]:((~quiet(X)|generous(X))<=>(~creative(X)&~wise(X))))&
(![X]:(~quiet(X)=>calm(X)))&
(![X]:((~patient(X)<~>funny(X))<=>(~old(X)&humble(X))))&
(((~kind(alice)|funny(alice)))=>(creative(susan)))&
(![X]:((generous(X)&~wise(X))<=>(~tall(X)&brave(X))... | old(paul) | [
"p1",
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7389944409940272681807739
% SZS output start Proof for 7389944409940272681807739
2. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (~wise(X0) & ~creative(X0))) [input p1]
6. ! [X0] : ((~wise(X0) & generous(X0)) <=> (brave(X0) & ~tall(X0))) [input p5]
8. ? [X0] : (wise(X0) | ~generous(X0)) <=> ... | 0 |
Everyone who is both wise and kind is rich and vice versa. Everyone who is both not rich and not quiet is not tall or patient. If someone is both not kind and generous then mary is both not happy and not generous and vice versa. If lucy is not generous then mary is calm and vice versa. Everyone who is funny is rich or ... | John is not funny. | neutral | (![X]:((wise(X)&kind(X))<=>rich(X)))&
(![X]:((~rich(X)&~quiet(X))=>(~tall(X)|patient(X))))&
((?[X]:((~kind(X)&generous(X))))<=>((~happy(mary)&~generous(mary))))&
((~generous(lucy))<=>(calm(mary)))&
(![X]:(funny(X)<=>(rich(X)|~calm(X))))&
(((~rich(mary)|~strong(mary)))=>((~wise(alice)&brave(alice))))&
(![X]:((~kind(X)|~... | ~funny(john) | [] | null | 0 |
Everyone who is both patient and humble is tall or brave. Everyone who is wise or not curious is either curious or wise and vice versa. If john is patient then someone is both not happy and generous. Everyone who is old is either not wise or not tall and vice versa. If john is both wise and generous then someone is not... | Alice is generous. | entailment | (![X]:((patient(X)&humble(X))=>(tall(X)|brave(X))))&
(![X]:((wise(X)|~curious(X))<=>(curious(X)<~>wise(X))))&
((patient(john))=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:(old(X)<=>(~wise(X)<~>~tall(X))))&
(((wise(john)&generous(john)))<=>(?[X]:(~rich(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((~happy(X)<~>~funny(X... | generous(alice) | [
"p1",
"p3",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3369852844509976727369377
% SZS output start Proof for 3369852844509976727369377
2. ! [X0] : ((~curious(X0) | wise(X0)) <=> (curious(X0) <~> wise(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (~wise(X0) <~> ~tall(X0))) [input p3]
13. (curious(alice) <~> generous(alice)) <=> ? [X0] : (happy(X0... | 0 |
Everyone who is not generous is either not rich or rich and vice versa. If someone is not curious or not tall then john is patient. Everyone who is both not kind and not quiet is not happy. If someone is either not wise or wise then alice is either not quiet or calm and vice versa. Everyone who is brave is either patie... | John is not happy. | neutral | (![X]:(~generous(X)<=>(~rich(X)<~>rich(X))))&
((?[X]:((~curious(X)|~tall(X))))=>(patient(john)))&
(![X]:((~kind(X)&~quiet(X))=>~happy(X)))&
((?[X]:((~wise(X)<~>wise(X))))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:(brave(X)=>(patient(X)<~>funny(X))))&
(![X]:((~wise(X)<~>~rich(X))=>wise(X)))&
(![X]:((~creative(X)&~curiou... | ~happy(john) | [] | null | 0 |
Everyone who is either not calm or not strong is not old or happy.
Everyone who is old is not brave or not happy.
If paul is either funny or not tall then john is either not patient or quiet and vice versa.
Everyone who is not kind is not calm and vice versa.
Everyone who is both strong and not curious is both generous... | Mary is brave. | entailment | (![X]:((~calm(X)<~>~strong(X))=>(~old(X)|happy(X))))&
(![X]:(old(X)=>(~brave(X)|~happy(X))))&
(((funny(paul)<~>~tall(paul)))<=>((~patient(john)<~>quiet(john))))&
(![X]:(~kind(X)<=>~calm(X)))&
(![X]:((strong(X)&~curious(X))<=>(generous(X)&kind(X))))&
((?[X]:(old(X)))=>(~wise(lucy)))&
((?[X]:((kind(X)<~>happy(X))))<=>((~... | brave(mary) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7704964865184630113938768
% SZS output start Proof for 7704964865184630113938768
16. ! [X0] : ((~wise(X0) | wise(X0)) => (~wise(X0) & ~curious(X0))) [input p15]
17. brave(mary) | curious(mary) [input p16]
24. ~brave(mary) [input hypothesis]
38. ! [X0] : ((~wise(X0) & ~curious(X0)) | (wise... | 0 |
Everyone who is both wise and not quiet is both not curious and funny.
If someone is both not brave and not strong then fred is patient or not quiet and vice versa.
Everyone who is creative is both not old and creative and vice versa.
Everyone who is both happy and not quiet is either not quiet or not creative and vice... | Paul is not calm. | neutral | (![X]:((wise(X)&~quiet(X))=>(~curious(X)&funny(X))))&
((?[X]:((~brave(X)&~strong(X))))<=>((patient(fred)|~quiet(fred))))&
(![X]:(creative(X)<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&~quiet(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((funny(X)&happy(X))<=>(happy(X)|patient(X))))&
(![X]:(calm(X)<=>(~brave(X)<~>wise(X))... | ~calm(paul) | [] | null | 0 |
Everyone who is patient or old is both not quiet and not kind. Everyone who is creative is rich and vice versa. Everyone who is not old is not kind and vice versa. Everyone who is not funny is kind and vice versa. If someone is wise or not generous then john is both kind and not brave and vice versa. If someone is both... | Lucy is not wise. | entailment | (![X]:((patient(X)|old(X))=>(~quiet(X)&~kind(X))))&
(![X]:(creative(X)<=>rich(X)))&
(![X]:(~old(X)<=>~kind(X)))&
(![X]:(~funny(X)<=>kind(X)))&
((?[X]:((wise(X)|~generous(X))))<=>((kind(john)&~brave(john))))&
((?[X]:((funny(X)&~quiet(X))))<=>((~curious(alice)|~patient(alice))))&
((wise(fred))=>(~happy(lucy)))&
(((~humbl... | ~wise(lucy) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6721868792997770221919280
% SZS output start Proof for 6721868792997770221919280
1. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : (~old(X0) <=> ~kind(X0)) [input p2]
5. ? [X0] : (~generous(X0) | wise(X0)) <=> (~brave(john) & kind(john)) [input p4]
2... | 0 |
Everyone who is not brave is both not kind and funny.
If someone is not creative then someone is not rich and vice versa.
Everyone who is not quiet is not tall and vice versa.
If someone is both not quiet and not rich then fred is both humble and not patient and vice versa.
Everyone who is not generous or strong is bra... | Susan is generous. | entailment | (![X]:(~brave(X)=>(~kind(X)&funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&~rich(X))))<=>((humble(fred)&~patient(fred))))&
(![X]:((~generous(X)|strong(X))=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>old(X)))&
(![X]:((~wise(X)|~generous(X))=>happy(X)))&
(((funny(s... | generous(susan) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 627089233858108757673479
% SZS output start Proof for 627089233858108757673479
7. ! [X0] : ((~generous(X0) | ~wise(X0)) => happy(X0)) [input p6]
12. ! [X0] : ((~happy(X0) & happy(X0)) <=> (happy(X0) | patient(X0))) [input p11]
24. ~generous(susan) [input hypothesis]
29. ! [X0] : (happy(X0... | 0 |
Everyone who is either not curious or wise is funny or kind and vice versa.
Everyone who is either not funny or old is both not funny and not tall.
If paul is either calm or not funny then fred is not humble or not generous.
If someone is both not generous and patient then someone is happy or strong.
Everyone who is hu... | Alice is wise. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)|kind(X))))&
(![X]:((~funny(X)<~>old(X))=>(~funny(X)&~tall(X))))&
(((calm(paul)<~>~funny(paul)))=>((~humble(fred)|~generous(fred))))&
((?[X]:((~generous(X)&patient(X))))=>(?[X]:((happy(X)|strong(X)))))&
(![X]:(humble(X)<=>(patient(X)<~>~kind(X))))&
(((creative(alice)<~>wise(ali... | wise(alice) | [] | null | 0 |
Everyone who is not kind is either humble or happy. If someone is either quiet or curious then john is curious. If susan is either not humble or not wise then john is old or not brave. Everyone who is both not curious and patient is curious or not wise and vice versa. If fred is both not creative and brave then fred is... | Paul is not curious. | entailment | (![X]:(~kind(X)=>(humble(X)<~>happy(X))))&
((?[X]:((quiet(X)<~>curious(X))))=>(curious(john)))&
(((~humble(susan)<~>~wise(susan)))=>((old(john)|~brave(john))))&
(![X]:((~curious(X)&patient(X))<=>(curious(X)|~wise(X))))&
(((~creative(fred)&brave(fred)))=>((humble(fred)|curious(fred))))&
(![X]:((old(X)<~>wise(X))<=>(happ... | ~curious(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4449689307781808612420363
% SZS output start Proof for 4449689307781808612420363
4. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (~wise(X0) | curious(X0))) [input p3]
24. curious(paul) [input hypothesis]
42. ! [X0] : (((patient(X0) & ~curious(X0)) | (wise(X0) & ~curious(X0))) & ((~wise(X0) ... | 0 |
If someone is not tall then john is either old or funny and vice versa.
If fred is not humble or creative then someone is both patient and quiet and vice versa.
Everyone who is not patient or not generous is happy or humble.
If someone is brave or humble then mary is not generous.
Everyone who is funny is not quiet and... | Fred is wise. | contradiction | ((?[X]:(~tall(X)))<=>((old(john)<~>funny(john))))&
(((~humble(fred)|creative(fred)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:((~patient(X)|~generous(X))=>(happy(X)|humble(X))))&
((?[X]:((brave(X)|humble(X))))=>(~generous(mary)))&
(![X]:(funny(X)<=>~quiet(X)))&
((generous(lucy))<=>(?[X]:((~old(X)<~>tall(X)))))&
(((kind... | wise(fred) | [
"p4",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8613510457895053764487549
% SZS output start Proof for 8613510457895053764487549
5. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p4]
10. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (tall(X0) & ~strong(X0))) [input p9]
11. ! [X0] : (~funny(X0) <=> (wise(X0) & ~strong(X0))) [input p10]
20. ~kind... | 0 |
Everyone who is kind or not tall is curious. If john is both not quiet and not patient then lucy is not generous and vice versa. Everyone who is both not tall and not patient is not wise and vice versa. Everyone who is tall is funny. If john is not kind or not brave then john is both brave and not old and vice versa. E... | Lucy is not old. | neutral | (![X]:((kind(X)|~tall(X))=>curious(X)))&
(((~quiet(john)&~patient(john)))<=>(~generous(lucy)))&
(![X]:((~tall(X)&~patient(X))<=>~wise(X)))&
(![X]:(tall(X)=>funny(X)))&
(((~kind(john)|~brave(john)))<=>((brave(john)&~old(john))))&
(![X]:(humble(X)=>(~old(X)&calm(X))))&
(![X]:((~tall(X)&rich(X))<=>(~calm(X)|brave(X))))&
(... | ~old(lucy) | [] | null | 0 |
Everyone who is either not happy or not curious is curious.
If someone is either rich or funny then someone is both humble and creative and vice versa.
If john is both not generous and generous then someone is either humble or tall.
Everyone who is not kind or creative is not calm or old and vice versa.
If alice is fun... | John is not curious. | entailment | (![X]:((~happy(X)<~>~curious(X))=>curious(X)))&
((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((humble(X)&creative(X)))))&
(((~generous(john)&generous(john)))=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~calm(X)|old(X))))&
(((funny(alice)|kind(alice)))<=>((~quiet(alice)|quiet(alice))))&
(![X]:((quiet(X)... | ~curious(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7678405852464783616157872
% SZS output start Proof for 7678405852464783616157872
10. ! [X0] : (curious(X0) <=> (~curious(X0) & ~patient(X0))) [input p9]
21. curious(john) [input hypothesis]
52. ! [X0] : ((curious(X0) | (curious(X0) | patient(X0))) & ((~curious(X0) & ~patient(X0)) | ~curio... | 0 |
If alice is old then someone is generous or tall. Everyone who is patient or not quiet is both wise and kind. Everyone who is creative or patient is both not generous and generous. If someone is either creative or quiet then susan is both not happy and curious and vice versa. Everyone who is both generous and not calm ... | Lucy is not wise. | contradiction | ((old(alice))=>(?[X]:((generous(X)|tall(X)))))&
(![X]:((patient(X)|~quiet(X))=>(wise(X)&kind(X))))&
(![X]:((creative(X)|patient(X))=>(~generous(X)&generous(X))))&
((?[X]:((creative(X)<~>quiet(X))))<=>((~happy(susan)&curious(susan))))&
(![X]:((generous(X)&~calm(X))<=>~happy(X)))&
((?[X]:((~curious(X)&strong(X))))<=>((~q... | ~wise(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 657157931200800950143890
% SZS output start Proof for 657157931200800950143890
2. ! [X0] : ((~quiet(X0) | patient(X0)) => (kind(X0) & wise(X0))) [input p1]
3. ! [X0] : ((patient(X0) | creative(X0)) => (generous(X0) & ~generous(X0))) [input p2]
4. ? [X0] : (creative(X0) <~> quiet(X0)) <=> ... | 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 ... | Paul is strong. | 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)&... | strong(paul) | [] | null | 0 |
If someone is not curious or rich then someone is both quiet and not curious and vice versa. If someone is either not humble or not curious then susan is both not creative and not old. Everyone who is not rich or not happy is wise and vice versa. Everyone who is not kind or not funny is either quiet or calm and vice ve... | Lucy is not rich. | entailment | ((?[X]:((~curious(X)|rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~curious(X))))=>((~creative(susan)&~old(susan))))&
(![X]:((~rich(X)|~happy(X))<=>wise(X)))&
(![X]:((~kind(X)|~funny(X))<=>(quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|patient(X))=>(~strong(X)<~>old(X))))&
(((rich(paul)&~creative(p... | ~rich(lucy) | [
"p0",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8722236179434657133629564
% SZS output start Proof for 8722236179434657133629564
1. ? [X0] : (rich(X0) | ~curious(X0)) <=> ? [X0] : (~curious(X0) & quiet(X0)) [input p0]
8. ! [X0] : ((~creative(X0) <~> patient(X0)) <=> (brave(X0) & creative(X0))) [input p7]
10. ! [X0] : ((quiet(X0) | ~kin... | 0 |
If someone is both calm and not patient then someone is either not creative or rich.
Everyone who is either not generous or not quiet is calm and vice versa.
Everyone who is old is both not quiet and not generous and vice versa.
If someone is either not strong or calm then someone is creative or wise.
Everyone who is e... | Susan is patient. | entailment | ((?[X]:((calm(X)&~patient(X))))=>(?[X]:((~creative(X)<~>rich(X)))))&
(![X]:((~generous(X)<~>~quiet(X))<=>calm(X)))&
(![X]:(old(X)<=>(~quiet(X)&~generous(X))))&
((?[X]:((~strong(X)<~>calm(X))))=>(?[X]:((creative(X)|wise(X)))))&
(![X]:((~generous(X)<~>~tall(X))=>(~happy(X)&kind(X))))&
(![X]:((tall(X)<~>~happy(X))<=>(brav... | patient(susan) | [
"p1",
"p2",
"p8",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3711326374369405449535485
% SZS output start Proof for 3711326374369405449535485
2. ! [X0] : ((~generous(X0) <~> ~quiet(X0)) <=> calm(X0)) [input p1]
3. ! [X0] : (old(X0) <=> (~generous(X0) & ~quiet(X0))) [input p2]
9. ? [X0] : ~calm(X0) => (~old(alice) & ~calm(alice)) [input p8]
10. ! [X... | 0 |
Everyone who is both brave and generous is not happy and vice versa.
Everyone who is either not creative or quiet is either not wise or humble and vice versa.
Everyone who is not quiet or not generous is either curious or not old and vice versa.
Everyone who is either not quiet or not patient is both not curious and qu... | Paul is rich. | contradiction | (![X]:((brave(X)&generous(X))<=>~happy(X)))&
(![X]:((~creative(X)<~>quiet(X))<=>(~wise(X)<~>humble(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(curious(X)<~>~old(X))))&
(![X]:((~quiet(X)<~>~patient(X))=>(~curious(X)&quiet(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((~wise(X)<~>~brave(X))))=>(?[X]:(... | rich(paul) | [
"p2",
"p4",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 393227149884910468558978
% SZS output start Proof for 393227149884910468558978
3. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (curious(X0) <~> ~old(X0))) [input p2]
5. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (calm(X0) & ~quiet(X0))) [input p4]
12. ? [X0] : (~tall(X0) & ~curious(X0)) <=> ? [... | 0 |
Everyone who is either strong or not funny is either quiet or patient and vice versa.
Everyone who is not calm or not quiet is both not wise and not patient and vice versa.
Everyone who is not curious is either wise or generous and vice versa.
Everyone who is not happy or not kind is not calm.
Everyone who is old or no... | Mary is happy. | neutral | (![X]:((strong(X)<~>~funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~wise(X)&~patient(X))))&
(![X]:(~curious(X)<=>(wise(X)<~>generous(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((old(X)|~generous(X))<=>(~strong(X)|~brave(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(old(X)|tall(X))))&
(![X]... | happy(mary) | [] | null | 0 |
If mary is not generous then someone is both not brave and calm. If someone is curious or quiet then someone is curious and vice versa. If lucy is either brave or quiet then someone is both funny and rich and vice versa. Everyone who is either not wise or curious is not wise or not strong and vice versa. Everyone who i... | Alice is funny. | contradiction | ((~generous(mary))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(curious(X))))&
(((brave(lucy)<~>quiet(lucy)))<=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)|rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((happy(X)|creative(X))=>(curiou... | funny(alice) | [
"p4",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1732099517851284795218245
% SZS output start Proof for 1732099517851284795218245
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) | ~creative(X0))) [input p4]
11. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~strong(X0)) [input p10]
12. ! [X0] : ((~funny(X0) | calm(X0)) <=> (calm(X0) <~> ~st... | 0 |
Everyone who is kind or not tall is both not wise and not happy and vice versa.
Everyone who is either not humble or humble is both kind and not patient and vice versa.
Everyone who is both creative and not calm is both not rich and calm.
Everyone who is not funny is not tall or humble and vice versa.
Everyone who is p... | Fred is not brave. | entailment | (![X]:((kind(X)|~tall(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(kind(X)&~patient(X))))&
(![X]:((creative(X)&~calm(X))=>(~rich(X)&calm(X))))&
(![X]:(~funny(X)<=>(~tall(X)|humble(X))))&
(![X]:((patient(X)|curious(X))<=>(~kind(X)<~>rich(X))))&
(((~funny(fred)|creative(fred)))<=>((brave(susan)&wise(s... | ~brave(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 248577197655391750522014
% SZS output start Proof for 248577197655391750522014
1. ! [X0] : ((~tall(X0) | kind(X0)) <=> (~happy(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~patient(X0) & kind(X0))) [input p1]
4. ! [X0] : (~funny(X0) <=> (humble(X0) | ~tall(X... | 0 |
Everyone who is not generous is either calm or not wise and vice versa.
Everyone who is humble is not old.
Everyone who is both not kind and quiet is not rich.
Everyone who is old is either kind or quiet.
Everyone who is tall is creative and vice versa.
If paul is either patient or kind then someone is both not rich an... | John is rich. | entailment | (![X]:(~generous(X)<=>(calm(X)<~>~wise(X))))&
(![X]:(humble(X)=>~old(X)))&
(![X]:((~kind(X)&quiet(X))=>~rich(X)))&
(![X]:(old(X)=>(kind(X)<~>quiet(X))))&
(![X]:(tall(X)<=>creative(X)))&
(((patient(paul)<~>kind(paul)))=>(?[X]:((~rich(X)&~brave(X)))))&
(((humble(fred)<~>~tall(fred)))=>(?[X]:((~generous(X)<~>happy(X)))))&... | rich(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2828925145318304771850110
% SZS output start Proof for 2828925145318304771850110
24. rich(john) & ~kind(john) [input p23]
25. ~rich(john) [input hypothesis]
129. rich(john) [cnf transformation 24]
130. ~rich(john) [cnf transformation 25]
284. $false [subsumption resolution 130,129]
% SZS ... | 0 |
If lucy is old then fred is both not quiet and not wise. If susan is both not kind and not curious then someone is both old and patient. Everyone who is either funny or curious is both not old and not strong and vice versa. Everyone who is not strong or brave is either not old or not generous and vice versa. Everyone w... | Lucy is not curious. | contradiction | ((old(lucy))=>((~quiet(fred)&~wise(fred))))&
(((~kind(susan)&~curious(susan)))=>(?[X]:((old(X)&patient(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|brave(X))<=>(~old(X)<~>~generous(X))))&
(![X]:((kind(X)<~>~tall(X))<=>(quiet(X)&~patient(X))))&
(![X]:((~patient(X)<~>~kind(X))=>(cur... | ~curious(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 328564309230867835283909
% SZS output start Proof for 328564309230867835283909
21. curious(lucy) [input p20]
24. ~curious(lucy) [input hypothesis]
134. curious(lucy) [cnf transformation 21]
138. ~curious(lucy) [cnf transformation 24]
290. $false [subsumption resolution 138,134]
% SZS outp... | 0 |
If susan is both not humble and old then john is old.
If lucy is both not old and curious then someone is creative.
Everyone who is both tall and old is both not patient and strong and vice versa.
Everyone who is not patient or humble is either not creative or not generous.
Everyone who is not tall or rich is not humbl... | Lucy is old. | neutral | (((~humble(susan)&old(susan)))=>(old(john)))&
(((~old(lucy)&curious(lucy)))=>(?[X]:(creative(X))))&
(![X]:((tall(X)&old(X))<=>(~patient(X)&strong(X))))&
(![X]:((~patient(X)|humble(X))=>(~creative(X)<~>~generous(X))))&
(![X]:((~tall(X)|rich(X))=>(~humble(X)|~brave(X))))&
(![X]:((humble(X)<~>~tall(X))=>(~generous(X)<~>~h... | old(lucy) | [] | null | 0 |
Everyone who is old is either not humble or not strong. Everyone who is creative or wise is both not generous and not curious and vice versa. Everyone who is both not rich and funny is wise or curious. If someone is either funny or creative then someone is either not kind or rich and vice versa. If mary is either brave... | Lucy is not tall. | contradiction | (![X]:(old(X)=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)|wise(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~rich(X)&funny(X))=>(wise(X)|curious(X))))&
((?[X]:((funny(X)<~>creative(X))))<=>(?[X]:((~kind(X)<~>rich(X)))))&
(((brave(mary)<~>~creative(mary)))=>((~tall(alice)&tall(alice))))&
((?[X]:((~strong(X)&~humble... | ~tall(lucy) | [
"p1",
"p7",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5544223523629718694467830
% SZS output start Proof for 5544223523629718694467830
2. ! [X0] : ((wise(X0) | creative(X0)) <=> (~curious(X0) & ~generous(X0))) [input p1]
8. ! [X0] : ((~wise(X0) & ~calm(X0)) => (~quiet(X0) & funny(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> funny(X0)) [input ... | 0 |
Everyone who is not humble or brave is not quiet or not humble.
If paul is both not generous and rich then john is either not kind or calm.
Everyone who is not calm is wise or creative and vice versa.
If someone is either not patient or not kind then fred is tall.
Everyone who is both humble and kind is both not funny ... | Paul is not curious. | neutral | (![X]:((~humble(X)|brave(X))=>(~quiet(X)|~humble(X))))&
(((~generous(paul)&rich(paul)))=>((~kind(john)<~>calm(john))))&
(![X]:(~calm(X)<=>(wise(X)|creative(X))))&
((?[X]:((~patient(X)<~>~kind(X))))=>(tall(fred)))&
(![X]:((humble(X)&kind(X))<=>(~funny(X)&tall(X))))&
(![X]:((old(X)&~old(X))<=>(rich(X)&funny(X))))&
((?[X]... | ~curious(paul) | [] | null | 0 |
If alice is creative then mary is wise or not kind and vice versa.
If someone is happy or wise then john is not old and vice versa.
Everyone who is not kind or wise is both happy and quiet and vice versa.
Everyone who is either not funny or funny is both not patient and wise and vice versa.
If someone is not patient th... | Susan is happy. | entailment | ((creative(alice))<=>((wise(mary)|~kind(mary))))&
((?[X]:((happy(X)|wise(X))))<=>(~old(john)))&
(![X]:((~kind(X)|wise(X))<=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)<~>funny(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~old(X)&~strong(X)))))&
(![X]:(curious(X)=>(generous(X)&brave(X))))&
((?[X]:((~humble... | happy(susan) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8206178036656924195217590
% SZS output start Proof for 8206178036656924195217590
3. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (quiet(X0) & happy(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (wise(X0) & ~patient(X0))) [input p3]
22. ~happy(susan) [input hypothesis]
42. ! [X0] : ... | 0 |
If someone is wise then someone is not quiet and vice versa.
Everyone who is either creative or not wise is not funny and vice versa.
Everyone who is both calm and quiet is not quiet.
If alice is old then someone is not wise or not kind and vice versa.
Everyone who is not happy is not rich.
If someone is not patient th... | John is tall. | entailment | ((?[X]:(wise(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)<~>~wise(X))<=>~funny(X)))&
(![X]:((calm(X)&quiet(X))=>~quiet(X)))&
((old(alice))<=>(?[X]:((~wise(X)|~kind(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:(~generous(X)<=>(generous(X)|happy(X))))&
(![X]:((r... | tall(john) | [
"p3",
"p6",
"p9",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 626221511061730336871645
% SZS output start Proof for 626221511061730336871645
4. old(alice) <=> ? [X0] : (~kind(X0) | ~wise(X0)) [input p3]
7. ! [X0] : (~generous(X0) <=> (happy(X0) | generous(X0))) [input p6]
10. ? [X0] : (generous(X0) | ~tall(X0)) <=> (kind(alice) | ~humble(alice)) [in... | 0 |
Everyone who is not patient or not quiet is either old or calm and vice versa.
If someone is not calm or curious then john is not tall or quiet and vice versa.
If alice is both not happy and quiet then someone is either old or funny.
Everyone who is not creative or not quiet is tall and vice versa.
Everyone who is not ... | Alice is not generous. | neutral | (![X]:((~patient(X)|~quiet(X))<=>(old(X)<~>calm(X))))&
((?[X]:((~calm(X)|curious(X))))<=>((~tall(john)|quiet(john))))&
(((~happy(alice)&quiet(alice)))=>(?[X]:((old(X)<~>funny(X)))))&
(![X]:((~creative(X)|~quiet(X))<=>tall(X)))&
(![X]:((~calm(X)|~strong(X))=>generous(X)))&
((?[X]:(~kind(X)))=>((~funny(fred)&old(fred))))... | ~generous(alice) | [] | null | 0 |
If someone is either curious or kind then fred is wise or old.
Everyone who is brave or not quiet is quiet and vice versa.
Everyone who is both brave and not old is kind and vice versa.
Everyone who is creative or not wise is not calm.
Everyone who is brave or creative is either brave or curious.
Everyone who is rich o... | Mary is brave. | entailment | ((?[X]:((curious(X)<~>kind(X))))=>((wise(fred)|old(fred))))&
(![X]:((brave(X)|~quiet(X))<=>quiet(X)))&
(![X]:((brave(X)&~old(X))<=>kind(X)))&
(![X]:((creative(X)|~wise(X))=>~calm(X)))&
(![X]:((brave(X)|creative(X))=>(brave(X)<~>curious(X))))&
(![X]:((rich(X)|~curious(X))<=>(~tall(X)&generous(X))))&
(![X]:((strong(X)<~>... | brave(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 907157174413481397252082
% SZS output start Proof for 907157174413481397252082
2. ! [X0] : ((~quiet(X0) | brave(X0)) <=> quiet(X0)) [input p1]
23. ~brave(mary) [input hypothesis]
42. ! [X0] : (((~quiet(X0) | brave(X0)) | ~quiet(X0)) & (quiet(X0) | (quiet(X0) & ~brave(X0)))) [nnf transform... | 0 |
Everyone who is both not calm and not kind is humble or rich and vice versa.
If fred is both not wise and rich then alice is both not generous and not creative and vice versa.
Everyone who is either not tall or not rich is both not generous and not patient and vice versa.
If fred is either not funny or humble then some... | Lucy is not quiet. | neutral | (![X]:((~calm(X)&~kind(X))<=>(humble(X)|rich(X))))&
(((~wise(fred)&rich(fred)))<=>((~generous(alice)&~creative(alice))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(![X]:((quiet(X)&~humb... | ~quiet(lucy) | [] | null | 0 |
If someone is both not funny and quiet then someone is either brave or curious.
Everyone who is creative or rich is both curious and old and vice versa.
If someone is not old or generous then someone is either not old or strong and vice versa.
If lucy is either curious or generous then someone is not tall.
If paul is q... | Lucy is humble. | neutral | ((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((creative(X)|rich(X))<=>(curious(X)&old(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((pati... | humble(lucy) | [] | null | 0 |
If someone is wise then paul is not funny and vice versa.
Everyone who is both not old and tall is either not happy or not rich and vice versa.
Everyone who is wise or not humble is either quiet or not rich and vice versa.
If susan is strong or old then susan is strong or brave and vice versa.
Everyone who is either no... | Fred is not kind. | entailment | ((?[X]:(wise(X)))<=>(~funny(paul)))&
(![X]:((~old(X)&tall(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((wise(X)|~humble(X))<=>(quiet(X)<~>~rich(X))))&
(((strong(susan)|old(susan)))<=>((strong(susan)|brave(susan))))&
(![X]:((~curious(X)<~>old(X))<=>(old(X)<~>~funny(X))))&
(![X]:((~humble(X)&quiet(X))<=>(calm(X)|~old(X))))&
((... | ~kind(fred) | [
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 88535110841264542128217
% SZS output start Proof for 88535110841264542128217
9. ! [X0] : ((tall(X0) | ~calm(X0)) <=> calm(X0)) [input p8]
11. ? [X0] : ~quiet(X0) <=> (~calm(mary) & happy(mary)) [input p10]
13. ? [X0] : ~old(X0) => ~kind(fred) [input p12]
16. ! [X0] : (quiet(X0) <=> ~old(X... | 0 |
Everyone who is not humble is calm or not brave. If fred is both not kind and not brave then alice is not tall or tall. If someone is both not quiet and kind then someone is strong. Everyone who is not strong or not rich is calm and vice versa. If mary is both not wise and not creative then mary is patient and vice ver... | Paul is old. | neutral | (![X]:(~humble(X)=>(calm(X)|~brave(X))))&
(((~kind(fred)&~brave(fred)))=>((~tall(alice)|tall(alice))))&
((?[X]:((~quiet(X)&kind(X))))=>(?[X]:(strong(X))))&
(![X]:((~strong(X)|~rich(X))<=>calm(X)))&
(((~wise(mary)&~creative(mary)))<=>(patient(mary)))&
(![X]:((generous(X)|~kind(X))=>(~curious(X)&quiet(X))))&
(![X]:((~bra... | old(paul) | [] | null | 0 |
Everyone who is not strong or funny is both not tall and creative and vice versa.
Everyone who is both brave and not kind is not generous and vice versa.
If alice is both wise and not happy then alice is quiet or kind.
If fred is curious then someone is both not happy and not brave.
Everyone who is not tall is happy.
E... | Susan is kind. | entailment | (![X]:((~strong(X)|funny(X))<=>(~tall(X)&creative(X))))&
(![X]:((brave(X)&~kind(X))<=>~generous(X)))&
(((wise(alice)&~happy(alice)))=>((quiet(alice)|kind(alice))))&
((curious(fred))=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~tall(X)=>happy(X)))&
(![X]:((happy(X)<~>~funny(X))<=>(rich(X)<~>~kind(X))))&
(![X]:(funny(X)<=>(... | kind(susan) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6601610671746301392343209
% SZS output start Proof for 6601610671746301392343209
1. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (creative(X0) & ~tall(X0))) [input p0]
5. ! [X0] : (~tall(X0) => happy(X0)) [input p4]
6. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> (rich(X0) <~> ~kind(X0))) [input p... | 0 |
Everyone who is either patient or not humble is not kind or not creative and vice versa.
Everyone who is either not rich or not generous is both not kind and not brave.
If john is old or calm then someone is not strong or curious and vice versa.
If someone is strong or wise then fred is not tall or not patient and vice... | Lucy is not kind. | entailment | (![X]:((patient(X)<~>~humble(X))<=>(~kind(X)|~creative(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~kind(X)&~brave(X))))&
(((old(john)|calm(john)))<=>(?[X]:((~strong(X)|curious(X)))))&
((?[X]:((strong(X)|wise(X))))<=>((~tall(fred)|~patient(fred))))&
((?[X]:((funny(X)|quiet(X))))<=>(~calm(mary)))&
(![X]:((kind(X)<~>~wise(... | ~kind(lucy) | [
"p1",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4992248580992234267953830
% SZS output start Proof for 4992248580992234267953830
2. ! [X0] : ((~rich(X0) <~> ~generous(X0)) => (~brave(X0) & ~kind(X0))) [input p1]
6. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> (rich(X0) <~> kind(X0))) [input p5]
11. ! [X0] : (wise(X0) <=> generous(X0)) [input... | 0 |
Everyone who is both old and brave is calm and vice versa.
Everyone who is both not funny and not happy is both not brave and curious and vice versa.
Everyone who is both not quiet and brave is either calm or funny.
Everyone who is both brave and not quiet is wise and vice versa.
If lucy is not creative then someone is... | Alice is not brave. | contradiction | (![X]:((old(X)&brave(X))<=>calm(X)))&
(![X]:((~funny(X)&~happy(X))<=>(~brave(X)&curious(X))))&
(![X]:((~quiet(X)&brave(X))=>(calm(X)<~>funny(X))))&
(![X]:((brave(X)&~quiet(X))<=>wise(X)))&
((~creative(lucy))=>(?[X]:((~creative(X)|wise(X)))))&
(((happy(paul)&~wise(paul)))<=>(?[X]:((~brave(X)&~calm(X)))))&
(![X]:((~happy... | ~brave(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 694429300940837700872964
% SZS output start Proof for 694429300940837700872964
23. brave(alice) & ~rich(alice) [input p22]
25. ~brave(alice) [input hypothesis]
136. brave(alice) [cnf transformation 23]
138. ~brave(alice) [cnf transformation 25]
282. $false [subsumption resolution 138,136]... | 0 |
If someone is either not happy or not patient then mary is not creative. If someone is not curious or not kind then paul is both creative and not generous. Everyone who is not funny or not quiet is not funny or creative and vice versa. If someone is not brave or not generous then susan is not patient. Everyone who is e... | Alice is not patient. | neutral | ((?[X]:((~happy(X)<~>~patient(X))))=>(~creative(mary)))&
((?[X]:((~curious(X)|~kind(X))))=>((creative(paul)&~generous(paul))))&
(![X]:((~funny(X)|~quiet(X))<=>(~funny(X)|creative(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(~patient(susan)))&
(![X]:((~happy(X)<~>~brave(X))=>(funny(X)&~generous(X))))&
(![X]:((rich(X)<~>~... | ~patient(alice) | [] | null | 0 |
Everyone who is both not old and patient is either creative or brave. Everyone who is wise is not old or not calm. If someone is both not brave and old then alice is not rich. Everyone who is both not funny and brave is not brave. Everyone who is curious is both curious and not happy and vice versa. Everyone who is not... | Paul is not curious. | entailment | (![X]:((~old(X)&patient(X))=>(creative(X)<~>brave(X))))&
(![X]:(wise(X)=>(~old(X)|~calm(X))))&
((?[X]:((~brave(X)&old(X))))=>(~rich(alice)))&
(![X]:((~funny(X)&brave(X))=>~brave(X)))&
(![X]:(curious(X)<=>(curious(X)&~happy(X))))&
(![X]:((~generous(X)|curious(X))=>~patient(X)))&
(![X]:(~old(X)<=>(~wise(X)&happy(X))))&
(... | ~curious(paul) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 686051602978559929918822
% SZS output start Proof for 686051602978559929918822
4. ! [X0] : ((brave(X0) & ~funny(X0)) => ~brave(X0)) [input p3]
5. ! [X0] : (curious(X0) <=> (~happy(X0) & curious(X0))) [input p4]
7. ! [X0] : (~old(X0) <=> (happy(X0) & ~wise(X0))) [input p6]
8. ! [X0] : ((ol... | 0 |
Everyone who is patient is wise or not tall. Everyone who is both kind and quiet is not patient or not creative and vice versa. If someone is both not curious and not humble then susan is not creative. If someone is not brave then someone is not funny. Everyone who is both calm and not old is tall or not strong. Everyo... | Paul is not tall. | entailment | (![X]:(patient(X)=>(wise(X)|~tall(X))))&
(![X]:((kind(X)&quiet(X))<=>(~patient(X)|~creative(X))))&
((?[X]:((~curious(X)&~humble(X))))=>(~creative(susan)))&
((?[X]:(~brave(X)))=>(?[X]:(~funny(X))))&
(![X]:((calm(X)&~old(X))=>(tall(X)|~strong(X))))&
(![X]:(calm(X)<=>~old(X)))&
(((kind(alice)|~tall(alice)))<=>(?[X]:(stron... | ~tall(paul) | [
"p0",
"p1",
"p10",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3729177484973882548296400
% SZS output start Proof for 3729177484973882548296400
1. ! [X0] : (patient(X0) => (~tall(X0) | wise(X0))) [input p0]
2. ! [X0] : ((quiet(X0) & kind(X0)) <=> (~creative(X0) | ~patient(X0))) [input p1]
11. ! [X0] : (wise(X0) => (~patient(X0) & ~funny(X0))) [input ... | 0 |
If someone is either not kind or not humble then someone is calm or not rich and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative.
Eve... | John is not strong. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creat... | ~strong(john) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4950862437050247639513300
% SZS output start Proof for 4950862437050247639513300
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~... | 0 |
Everyone who is both kind and rich is not generous. Everyone who is kind or happy is not quiet or wise. Everyone who is happy or not old is not tall or not calm and vice versa. Everyone who is tall or not strong is either not generous or not humble and vice versa. Everyone who is generous is not calm or quiet. If someo... | Mary is generous. | contradiction | (![X]:((kind(X)&rich(X))=>~generous(X)))&
(![X]:((kind(X)|happy(X))=>(~quiet(X)|wise(X))))&
(![X]:((happy(X)|~old(X))<=>(~tall(X)|~calm(X))))&
(![X]:((tall(X)|~strong(X))<=>(~generous(X)<~>~humble(X))))&
(![X]:(generous(X)=>(~calm(X)|quiet(X))))&
((?[X]:((~patient(X)<~>rich(X))))<=>((funny(mary)&generous(mary))))&
((?[... | generous(mary) | [
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8822413731792452669687317
% SZS output start Proof for 8822413731792452669687317
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (~generous(X0) <~> ~humble(X0))) [input p3]
8. ! [X0] : ((~rich(X0) & tall(X0)) <=> (generous(X0) <~> ~funny(X0))) [input p7]
13. ? [X0] : (creative(X0) & brave(X0)) ... | 0 |
Everyone who is not generous or humble is either old or not curious.
Everyone who is either tall or not strong is creative or strong.
Everyone who is generous is either patient or funny.
Everyone who is not patient or not brave is either not funny or brave.
Everyone who is either funny or not quiet is both humble and n... | Fred is rich. | contradiction | (![X]:((~generous(X)|humble(X))=>(old(X)<~>~curious(X))))&
(![X]:((tall(X)<~>~strong(X))=>(creative(X)|strong(X))))&
(![X]:(generous(X)=>(patient(X)<~>funny(X))))&
(![X]:((~patient(X)|~brave(X))=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>~quiet(X))<=>(humble(X)&~tall(X))))&
(![X]:((~old(X)|kind(X))=>(~quiet(X)|brave... | rich(fred) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8065755979444461169711109
% SZS output start Proof for 8065755979444461169711109
1. ! [X0] : ((humble(X0) | ~generous(X0)) => (old(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : ((~brave(X0) | ~patient(X0)) => (~funny(X0) <~> brave(X0))) [input p3]
5. ! [X0] : ((funny(X0) <~> ~quiet(X0)) <... | 0 |
Everyone who is not patient is either not calm or old and vice versa.
If fred is both not tall and kind then someone is funny and vice versa.
Everyone who is both not tall and kind is happy or not kind.
Everyone who is not old or not kind is both not old and not calm and vice versa.
Everyone who is not wise or not stro... | Fred is calm. | entailment | (![X]:(~patient(X)<=>(~calm(X)<~>old(X))))&
(((~tall(fred)&kind(fred)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)&kind(X))=>(happy(X)|~kind(X))))&
(![X]:((~old(X)|~kind(X))<=>(~old(X)&~calm(X))))&
(![X]:((~wise(X)|~strong(X))=>(old(X)&~patient(X))))&
((happy(susan))<=>((calm(susan)|~wise(susan))))&
(((~calm(lucy)<~>calm(l... | calm(fred) | [
"p0",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5766672642454290939410040
% SZS output start Proof for 5766672642454290939410040
1. ! [X0] : (~patient(X0) <=> (~calm(X0) <~> old(X0))) [input p0]
8. ! [X0] : ((~calm(X0) | ~generous(X0)) => (funny(X0) & ~creative(X0))) [input p7]
9. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~rich(X0) <~> ~p... | 0 |
Everyone who is both curious and not happy is both not wise and quiet and vice versa. Everyone who is both creative and not humble is both funny and curious and vice versa. If alice is happy then lucy is either not old or generous. If lucy is either not happy or not generous then susan is not old or patient and vice ve... | Susan is humble. | contradiction | (![X]:((curious(X)&~happy(X))<=>(~wise(X)&quiet(X))))&
(![X]:((creative(X)&~humble(X))<=>(funny(X)&curious(X))))&
((happy(alice))=>((~old(lucy)<~>generous(lucy))))&
(((~happy(lucy)<~>~generous(lucy)))<=>((~old(susan)|patient(susan))))&
(![X]:((brave(X)&~patient(X))=>creative(X)))&
(![X]:((~kind(X)&humble(X))=>(strong(X... | humble(susan) | [
"p8",
"p9",
"p10",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7841862422490402893909542
% SZS output start Proof for 7841862422490402893909542
9. (~quiet(susan) <~> ~humble(susan)) <=> (~strong(susan) <~> ~generous(susan)) [input p8]
10. ! [X0] : ((~old(X0) | ~kind(X0)) <=> (old(X0) & ~funny(X0))) [input p9]
11. ! [X0] : (~quiet(X0) <=> ~rich(X0)) [... | 0 |
Everyone who is not creative is not funny and vice versa. Everyone who is creative is either curious or not wise. Everyone who is tall is both not wise and not quiet and vice versa. Everyone who is not wise or not kind is both not generous and not calm. If john is humble then lucy is humble and vice versa. Everyone who... | Alice is not patient. | entailment | (![X]:(~creative(X)<=>~funny(X)))&
(![X]:(creative(X)=>(curious(X)<~>~wise(X))))&
(![X]:(tall(X)<=>(~wise(X)&~quiet(X))))&
(![X]:((~wise(X)|~kind(X))=>(~generous(X)&~calm(X))))&
((humble(john))<=>(humble(lucy)))&
(![X]:(calm(X)=>tall(X)))&
((brave(paul))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((brave(X)|~humble(X))<=>... | ~patient(alice) | [
"p0",
"p6",
"p7",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 572900433239520798829802
% SZS output start Proof for 572900433239520798829802
1. ! [X0] : (~creative(X0) <=> ~funny(X0)) [input p0]
7. brave(paul) <=> ? [X0] : (~funny(X0) & ~rich(X0)) [input p6]
8. ! [X0] : ((~humble(X0) | brave(X0)) <=> (~creative(X0) & ~strong(X0))) [input p7]
12. ! [... | 0 |
Everyone who is either wise or quiet is either rich or not calm and vice versa.
If someone is brave or curious then someone is either not quiet or not creative and vice versa.
Everyone who is humble is either tall or happy.
If john is either not strong or not brave then someone is both brave and curious and vice versa.... | Susan is funny. | entailment | (![X]:((wise(X)<~>quiet(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((brave(X)|curious(X))))<=>(?[X]:((~quiet(X)<~>~creative(X)))))&
(![X]:(humble(X)=>(tall(X)<~>happy(X))))&
(((~strong(john)<~>~brave(john)))<=>(?[X]:((brave(X)&curious(X)))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[X]:((~patient(X)&brave(X)))))&
(![X]:((~genero... | funny(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8758745192332638621632943
% SZS output start Proof for 8758745192332638621632943
7. ! [X0] : ((~calm(X0) | ~funny(X0)) => funny(X0)) [input p6]
25. ~funny(susan) [input hypothesis]
32. ! [X0] : (funny(X0) | (calm(X0) & funny(X0))) [ennf transformation 7]
107. funny(X0) | funny(X0) [cnf tr... | 0 |
Everyone who is quiet or not quiet is both not generous and humble and vice versa. If mary is rich then lucy is not old. Everyone who is not happy or creative is either calm or old. Everyone who is creative or not creative is both not brave and not calm. If someone is either not quiet or tall then someone is either hum... | Lucy is not generous. | entailment | (![X]:((quiet(X)|~quiet(X))<=>(~generous(X)&humble(X))))&
((rich(mary))=>(~old(lucy)))&
(![X]:((~happy(X)|creative(X))=>(calm(X)<~>old(X))))&
(![X]:((creative(X)|~creative(X))=>(~brave(X)&~calm(X))))&
((?[X]:((~quiet(X)<~>tall(X))))<=>(?[X]:((humble(X)<~>~kind(X)))))&
((?[X]:((brave(X)|funny(X))))=>((brave(fred)<~>~fun... | ~generous(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 701316208887936943424382
% SZS output start Proof for 701316208887936943424382
1. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (humble(X0) & ~generous(X0))) [input p0]
22. generous(lucy) [input hypothesis]
34. ! [X0] : (((~quiet(X0) | quiet(X0)) | (~humble(X0) | generous(X0))) & ((humble(X0) & ... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa.
If paul is not wise or tall then fred is not strong.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or patient is both not brave and not tall.
Everyone who is creative is rich an... | Paul is creative. | entailment | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)... | creative(paul) | [
"p2",
"p3",
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7730342922994834018732334
% SZS output start Proof for 7730342922994834018732334
3. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~kind(X0) | ~brave(X0))) [input p2]
4. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) [input p3]
5. ! [X0] : (creative(X0) <=> rich(X0)) [input p4]... | 0 |
Everyone who is either not patient or patient is both not wise and happy and vice versa.
If mary is both creative and not patient then someone is either creative or not patient and vice versa.
If mary is not calm then susan is kind and vice versa.
Everyone who is not kind or not calm is both brave and not old.
If someo... | Lucy is strong. | entailment | (![X]:((~patient(X)<~>patient(X))<=>(~wise(X)&happy(X))))&
(((creative(mary)&~patient(mary)))<=>(?[X]:((creative(X)<~>~patient(X)))))&
((~calm(mary))<=>(kind(susan)))&
(![X]:((~kind(X)|~calm(X))=>(brave(X)&~old(X))))&
((?[X]:((brave(X)<~>strong(X))))=>(?[X]:(brave(X))))&
(((rich(susan)<~>old(susan)))=>(?[X]:((happy(X)&... | strong(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1878656194333667393380615
% SZS output start Proof for 1878656194333667393380615
11. ! [X0] : ((kind(X0) & strong(X0)) <=> ~strong(X0)) [input p10]
20. ~strong(lucy) [input hypothesis]
62. ! [X0] : (((kind(X0) & strong(X0)) | strong(X0)) & (~strong(X0) | (~kind(X0) | ~strong(X0)))) [nnf t... | 0 |
Everyone who is both creative and not brave is both not kind and funny and vice versa. Everyone who is either brave or old is curious or calm and vice versa. Everyone who is either not tall or generous is either not funny or calm. If someone is both not rich and not kind then someone is rich. Everyone who is not curiou... | John is generous. | entailment | (![X]:((creative(X)&~brave(X))<=>(~kind(X)&funny(X))))&
(![X]:((brave(X)<~>old(X))<=>(curious(X)|calm(X))))&
(![X]:((~tall(X)<~>generous(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((~rich(X)&~kind(X))))=>(?[X]:(rich(X))))&
(![X]:((~curious(X)|patient(X))=>(wise(X)|~patient(X))))&
((?[X]:((patient(X)<~>~brave(X))))=>((generou... | generous(john) | [
"p4",
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1891833519509927139604405
% SZS output start Proof for 1891833519509927139604405
5. ! [X0] : ((patient(X0) | ~curious(X0)) => (~patient(X0) | wise(X0))) [input p4]
6. ? [X0] : (patient(X0) <~> ~brave(X0)) => (kind(john) & generous(john)) [input p5]
13. ! [X0] : (~wise(X0) <=> (~brave(X0) ... | 0 |
Everyone who is both not rich and tall is both not kind and quiet and vice versa.
If someone is not rich then someone is not old or happy.
Everyone who is either not funny or not tall is both wise and humble.
Everyone who is either not strong or brave is either generous or not funny.
If someone is either not patient or... | Lucy is calm. | contradiction | (![X]:((~rich(X)&tall(X))<=>(~kind(X)&quiet(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((~funny(X)<~>~tall(X))=>(wise(X)&humble(X))))&
(![X]:((~strong(X)<~>brave(X))=>(generous(X)<~>~funny(X))))&
((?[X]:((~patient(X)<~>happy(X))))<=>((tall(mary)<~>~curious(mary))))&
((?[X]:(curious(X)))=>(?[X]:((~wi... | calm(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5249967185517230851294712
% SZS output start Proof for 5249967185517230851294712
13. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (humble(X0) <~> ~humble(X0))) [input p12]
24. calm(lucy) [input hypothesis]
68. ! [X0] : (((curious(X0) & ~calm(X0)) | ((humble(X0) | humble(X0)) & (~humble(X0) | ~... | 0 |
Everyone who is both brave and not curious is kind and vice versa.
If someone is not brave or calm then someone is not brave or kind and vice versa.
Everyone who is either not calm or not kind is calm and vice versa.
If someone is happy or not calm then john is either not generous or old and vice versa.
Everyone who is... | John is curious. | entailment | (![X]:((brave(X)&~curious(X))<=>kind(X)))&
((?[X]:((~brave(X)|calm(X))))<=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~calm(X)<~>~kind(X))<=>calm(X)))&
((?[X]:((happy(X)|~calm(X))))<=>((~generous(john)<~>old(john))))&
(![X]:(~funny(X)=>~tall(X)))&
((?[X]:((kind(X)&~tall(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:(~... | curious(john) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5498864719255919891340557
% SZS output start Proof for 5498864719255919891340557
3. ! [X0] : ((~calm(X0) <~> ~kind(X0)) <=> calm(X0)) [input p2]
6. ? [X0] : (~tall(X0) & kind(X0)) <=> ? [X0] : (generous(X0) | ~curious(X0)) [input p5]
25. ~curious(john) [input hypothesis]
27. ? [X0] : (~ta... | 0 |
Everyone who is either not rich or creative is either wise or creative and vice versa.
Everyone who is both not patient and not calm is not kind.
Everyone who is brave is not patient or generous and vice versa.
If john is not funny then someone is either not brave or not happy.
Everyone who is not kind or calm is not c... | Lucy is not strong. | neutral | (![X]:((~rich(X)<~>creative(X))<=>(wise(X)<~>creative(X))))&
(![X]:((~patient(X)&~calm(X))=>~kind(X)))&
(![X]:(brave(X)<=>(~patient(X)|generous(X))))&
((~funny(john))=>(?[X]:((~brave(X)<~>~happy(X)))))&
(![X]:((~kind(X)|calm(X))=>(~curious(X)|humble(X))))&
(![X]:(~patient(X)<=>(~tall(X)|~kind(X))))&
((?[X]:((~patient(X... | ~strong(lucy) | [] | null | 0 |
Everyone who is not tall is rich.
If john is funny or not strong then someone is not old or patient.
If paul is not wise then alice is both not curious and not calm and vice versa.
Everyone who is not humble is both not calm and brave.
If paul is either patient or not humble then fred is wise or strong.
Everyone who is... | Susan is not humble. | neutral | (![X]:(~tall(X)=>rich(X)))&
(((funny(john)|~strong(john)))=>(?[X]:((~old(X)|patient(X)))))&
((~wise(paul))<=>((~curious(alice)&~calm(alice))))&
(![X]:(~humble(X)=>(~calm(X)&brave(X))))&
(((patient(paul)<~>~humble(paul)))=>((wise(fred)|strong(fred))))&
(![X]:((funny(X)|~wise(X))<=>rich(X)))&
(![X]:((kind(X)<~>~kind(X))=... | ~humble(susan) | [] | null | 0 |
Everyone who is both not calm and brave is both not rich and not brave and vice versa.
If lucy is not quiet or rich then alice is not rich or not funny.
Everyone who is either not kind or not humble is not brave or creative and vice versa.
If susan is both not wise and calm then someone is either generous or humble and... | Lucy is not rich. | neutral | (![X]:((~calm(X)&brave(X))<=>(~rich(X)&~brave(X))))&
(((~quiet(lucy)|rich(lucy)))=>((~rich(alice)|~funny(alice))))&
(![X]:((~kind(X)<~>~humble(X))<=>(~brave(X)|creative(X))))&
(((~wise(susan)&calm(susan)))<=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:(~calm(X)=>creative(X)))&
(![X]:(brave(X)=>(~brave(X)<~>funny(X))))&
... | ~rich(lucy) | [] | null | 0 |
Everyone who is wise or patient is both patient and not brave and vice versa.
If mary is either not creative or not generous then someone is both kind and patient.
Everyone who is funny or not old is both not rich and patient.
Everyone who is funny or not curious is patient or quiet and vice versa.
Everyone who is eith... | Lucy is humble. | contradiction | (![X]:((wise(X)|patient(X))<=>(patient(X)&~brave(X))))&
(((~creative(mary)<~>~generous(mary)))=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((funny(X)|~old(X))=>(~rich(X)&patient(X))))&
(![X]:((funny(X)|~curious(X))<=>(patient(X)|quiet(X))))&
(![X]:((~patient(X)<~>happy(X))<=>old(X)))&
((?[X]:((~kind(X)&~brave(X))))=>(?[X]:(... | humble(lucy) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4001577247247892584685680
% SZS output start Proof for 4001577247247892584685680
1. ! [X0] : ((patient(X0) | wise(X0)) <=> (~brave(X0) & patient(X0))) [input p0]
3. ! [X0] : ((~old(X0) | funny(X0)) => (patient(X0) & ~rich(X0))) [input p2]
10. ! [X0] : ((humble(X0) | creative(X0)) <=> (~ol... | 0 |
Everyone who is both brave and generous is wise and vice versa.
Everyone who is not brave or generous is both not rich and rich.
If john is old or calm then someone is rich or not curious and vice versa.
Everyone who is both humble and not funny is both not happy and not generous and vice versa.
If someone is both stro... | Paul is not happy. | entailment | (![X]:((brave(X)&generous(X))<=>wise(X)))&
(![X]:((~brave(X)|generous(X))=>(~rich(X)&rich(X))))&
(((old(john)|calm(john)))<=>(?[X]:((rich(X)|~curious(X)))))&
(![X]:((humble(X)&~funny(X))<=>(~happy(X)&~generous(X))))&
((?[X]:((strong(X)&~creative(X))))=>((wise(mary)|~happy(mary))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~... | ~happy(paul) | [
"p1",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8002676349235038693817779
% SZS output start Proof for 8002676349235038693817779
2. ! [X0] : ((generous(X0) | ~brave(X0)) => (rich(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~funny(X0) & humble(X0)) <=> (~generous(X0) & ~happy(X0))) [input p3]
7. ! [X0] : (~humble(X0) <=> (~humble(X0) <~>... | 0 |
Everyone who is either wise or not wise is quiet.
Everyone who is both not generous and not creative is not creative and vice versa.
If john is either curious or happy then someone is not humble and vice versa.
Everyone who is both not happy and not curious is not tall and vice versa.
If susan is both happy and not str... | Mary is not humble. | entailment | (![X]:((wise(X)<~>~wise(X))=>quiet(X)))&
(![X]:((~generous(X)&~creative(X))<=>~creative(X)))&
(((curious(john)<~>happy(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~happy(X)&~curious(X))<=>~tall(X)))&
(((happy(susan)&~strong(susan)))=>((funny(fred)<~>~humble(fred))))&
((?[X]:((~calm(X)&~wise(X))))<=>(?[X]:((~creative(X)|~ge... | ~humble(mary) | [
"p0",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 940850790739948294459618
% SZS output start Proof for 940850790739948294459618
1. ! [X0] : ((wise(X0) <~> ~wise(X0)) => quiet(X0)) [input p0]
13. (wise(susan) & generous(susan)) <=> ? [X0] : (humble(X0) | ~strong(X0)) [input p12]
24. quiet(susan) <~> generous(susan) [input p23]
25. humble... | 0 |
Everyone who is either not wise or quiet is both not calm and not kind and vice versa.
Everyone who is funny or not patient is not creative or wise and vice versa.
If someone is strong then someone is not tall and vice versa.
Everyone who is not brave or not humble is either not generous or not calm and vice versa.
Eve... | Alice is funny. | entailment | (![X]:((~wise(X)<~>quiet(X))<=>(~calm(X)&~kind(X))))&
(![X]:((funny(X)|~patient(X))<=>(~creative(X)|wise(X))))&
((?[X]:(strong(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)|~humble(X))<=>(~generous(X)<~>~calm(X))))&
(![X]:(~calm(X)=>humble(X)))&
(![X]:((quiet(X)<~>~kind(X))<=>(patient(X)&~funny(X))))&
(![X]:((brave(X)<~... | funny(alice) | [
"p1",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5545217392087091510445946
% SZS output start Proof for 5545217392087091510445946
2. ! [X0] : ((~patient(X0) | funny(X0)) <=> (wise(X0) | ~creative(X0))) [input p1]
9. ! [X0] : ((creative(X0) <~> curious(X0)) <=> rich(X0)) [input p8]
11. ! [X0] : ((~curious(X0) <~> strong(X0)) <=> (~rich(X... | 0 |
Everyone who is either not quiet or creative is old and vice versa. Everyone who is both tall and patient is brave or not generous and vice versa. Everyone who is either not calm or wise is calm and vice versa. If fred is either brave or curious then someone is funny or not strong and vice versa. Everyone who is not pa... | Fred is not tall. | contradiction | (![X]:((~quiet(X)<~>creative(X))<=>old(X)))&
(![X]:((tall(X)&patient(X))<=>(brave(X)|~generous(X))))&
(![X]:((~calm(X)<~>wise(X))<=>calm(X)))&
(((brave(fred)<~>curious(fred)))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((~patient(X)|happy(X))=>wise(X)))&
((humble(john))<=>(?[X]:((~tall(X)&rich(X)))))&
(![X]:((happy(X)&~p... | ~tall(fred) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2209305898480241902197180
% SZS output start Proof for 2209305898480241902197180
2. ! [X0] : ((patient(X0) & tall(X0)) <=> (~generous(X0) | brave(X0))) [input p1]
11. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (calm(X0) & tall(X0))) [input p10]
25. ~tall(fred) [input hypothesis]
34. ! [X0] :... | 0 |
Everyone who is generous is not wise or tall and vice versa.
Everyone who is not funny is both wise and quiet and vice versa.
Everyone who is not tall or not funny is either not creative or old.
If lucy is not humble then someone is creative or strong.
If someone is both not rich and old then someone is tall.
Everyone ... | Alice is not funny. | entailment | (![X]:(generous(X)<=>(~wise(X)|tall(X))))&
(![X]:(~funny(X)<=>(wise(X)&quiet(X))))&
(![X]:((~tall(X)|~funny(X))=>(~creative(X)<~>old(X))))&
((~humble(lucy))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((~rich(X)&old(X))))=>(?[X]:(tall(X))))&
(![X]:(funny(X)=>(~curious(X)&old(X))))&
(((~funny(paul)|old(paul)))=>(?[X]:((~... | ~funny(alice) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3803007813396601989397320
% SZS output start Proof for 3803007813396601989397320
2. ! [X0] : (~funny(X0) <=> (quiet(X0) & wise(X0))) [input p1]
24. quiet(alice) & wise(alice) [input p23]
25. funny(alice) [input hypothesis]
44. ! [X0] : ((~funny(X0) | (~quiet(X0) | ~wise(X0))) & ((quiet(X0... | 0 |
Everyone who is either not tall or humble is both happy and patient.
If someone is either not calm or curious then fred is either not curious or not quiet and vice versa.
Everyone who is either kind or not rich is tall or not funny and vice versa.
If someone is both strong and tall then paul is either brave or curious ... | John is strong. | neutral | (![X]:((~tall(X)<~>humble(X))=>(happy(X)&patient(X))))&
((?[X]:((~calm(X)<~>curious(X))))<=>((~curious(fred)<~>~quiet(fred))))&
(![X]:((kind(X)<~>~rich(X))<=>(tall(X)|~funny(X))))&
((?[X]:((strong(X)&tall(X))))<=>((brave(paul)<~>curious(paul))))&
(![X]:((~old(X)|creative(X))=>(~calm(X)|rich(X))))&
(![X]:((kind(X)|~brav... | strong(john) | [] | null | 0 |
Everyone who is either not creative or patient is quiet and vice versa.
Everyone who is either happy or not quiet is not wise or quiet and vice versa.
If someone is rich then lucy is either strong or not humble.
Everyone who is both quiet and not happy is either strong or not curious.
Everyone who is not quiet is both ... | Mary is not quiet. | contradiction | (![X]:((~creative(X)<~>patient(X))<=>quiet(X)))&
(![X]:((happy(X)<~>~quiet(X))<=>(~wise(X)|quiet(X))))&
((?[X]:(rich(X)))=>((strong(lucy)<~>~humble(lucy))))&
(![X]:((quiet(X)&~happy(X))=>(strong(X)<~>~curious(X))))&
(![X]:(~quiet(X)<=>(humble(X)&~strong(X))))&
(![X]:((creative(X)<~>~calm(X))=>(generous(X)<~>~rich(X))))... | ~quiet(mary) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1085336700586735891348223
% SZS output start Proof for 1085336700586735891348223
5. ! [X0] : (~quiet(X0) <=> (~strong(X0) & humble(X0))) [input p4]
22. strong(mary) [input p21]
24. ~quiet(mary) [input hypothesis]
46. ! [X0] : ((~quiet(X0) | (strong(X0) | ~humble(X0))) & ((~strong(X0) & hu... | 0 |
Everyone who is both not generous and strong is either rich or not wise.
Everyone who is strong or not humble is both humble and calm.
If someone is both generous and funny then someone is either funny or quiet and vice versa.
Everyone who is both not funny and not quiet is calm and vice versa.
If lucy is not rich or s... | Susan is calm. | entailment | (![X]:((~generous(X)&strong(X))=>(rich(X)<~>~wise(X))))&
(![X]:((strong(X)|~humble(X))=>(humble(X)&calm(X))))&
((?[X]:((generous(X)&funny(X))))<=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>calm(X)))&
(((~rich(lucy)|strong(lucy)))<=>((~creative(paul)<~>kind(paul))))&
((?[X]:((~tall(X)<~>rich(X))))<=... | calm(susan) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 853076115818725646170428
% SZS output start Proof for 853076115818725646170428
2. ! [X0] : ((~humble(X0) | strong(X0)) => (calm(X0) & humble(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> calm(X0)) [input p3]
7. ! [X0] : ((~funny(X0) | creative(X0)) <=> (~old(X0) & patient(X0... | 0 |
Everyone who is both calm and curious is wise or happy. If someone is both not calm and quiet then someone is not brave or not tall and vice versa. Everyone who is both not generous and kind is either not kind or not funny and vice versa. Everyone who is wise or quiet is both not curious and brave and vice versa. If so... | Fred is not humble. | entailment | (![X]:((calm(X)&curious(X))=>(wise(X)|happy(X))))&
((?[X]:((~calm(X)&quiet(X))))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~generous(X)&kind(X))<=>(~kind(X)<~>~funny(X))))&
(![X]:((wise(X)|quiet(X))<=>(~curious(X)&brave(X))))&
((?[X]:((creative(X)<~>old(X))))=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((~curious(X)&~old(X))=>... | ~humble(fred) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5792642128876559975259145
% SZS output start Proof for 5792642128876559975259145
1. ! [X0] : ((curious(X0) & calm(X0)) => (happy(X0) | wise(X0))) [input p0]
3. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~kind(X0) <~> ~funny(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | wise(X0)) <=> (brave(X0... | 0 |
If mary is not rich or curious then john is kind or tall and vice versa.
Everyone who is wise or kind is not tall or not kind and vice versa.
If fred is both not wise and not funny then mary is either not funny or not quiet and vice versa.
Everyone who is both rich and wise is either not rich or tall and vice versa.
Ev... | Alice is quiet. | neutral | (((~rich(mary)|curious(mary)))<=>((kind(john)|tall(john))))&
(![X]:((wise(X)|kind(X))<=>(~tall(X)|~kind(X))))&
(((~wise(fred)&~funny(fred)))<=>((~funny(mary)<~>~quiet(mary))))&
(![X]:((rich(X)&wise(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~quiet(X)&~patient(X))=>~old(X)))&
(![X]:(~rich(X)<=>(curious(X)&~kind(X))))&
(![X]:... | quiet(alice) | [] | null | 0 |
If someone is both tall and creative then someone is both not old and strong. Everyone who is not calm is not rich or funny. If john is either not creative or not patient then someone is not rich and vice versa. Everyone who is either brave or not wise is either brave or not quiet. Everyone who is creative or tall is n... | Susan is curious. | neutral | ((?[X]:((tall(X)&creative(X))))=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(~calm(X)=>(~rich(X)|funny(X))))&
(((~creative(john)<~>~patient(john)))<=>(?[X]:(~rich(X))))&
(![X]:((brave(X)<~>~wise(X))=>(brave(X)<~>~quiet(X))))&
(![X]:((creative(X)|tall(X))=>~tall(X)))&
((curious(lucy))=>((~curious(john)|~humble(john))))&
(![X]... | curious(susan) | [] | null | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either curious or rich is either not wise or not generous.
Everyone who is not calm or not patient is both not generous and wise.
If someone is old then susan is wise or not... | Susan is not brave. | neutral | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((curious(X)<~>rich(X))=>(~wise(X)<~>~generous(X))))&
(![X]:((~calm(X)|~patient(X))=>(~generous(X)&wise(X))))&
((?[X]:(old(X)))=>((wise(susan)|~brave(susan))))&
((?[X]:((funny(X)&~rich(X))))<=>((generous(fred)<... | ~brave(susan) | [] | null | 0 |
If someone is either patient or not brave then alice is not patient. If someone is both not generous and not kind then someone is old or happy and vice versa. If someone is either not happy or calm then fred is both rich and not brave. Everyone who is generous is not tall or humble and vice versa. If mary is happy then... | Fred is brave. | contradiction | ((?[X]:((patient(X)<~>~brave(X))))=>(~patient(alice)))&
((?[X]:((~generous(X)&~kind(X))))<=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((~happy(X)<~>calm(X))))=>((rich(fred)&~brave(fred))))&
(![X]:(generous(X)<=>(~tall(X)|humble(X))))&
((happy(mary))<=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:((~humble(X)&wise(X))<=>(creative(X)&... | brave(fred) | [
"p2",
"p4",
"p6",
"p7",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1003013059901348693413900
% SZS output start Proof for 1003013059901348693413900
3. ? [X0] : (~happy(X0) <~> calm(X0)) => (~brave(fred) & rich(fred)) [input p2]
5. happy(mary) <=> ? [X0] : (brave(X0) & ~rich(X0)) [input p4]
7. ? [X0] : (brave(X0) <~> ~rich(X0)) <=> (~funny(susan) & calm(s... | 0 |
Everyone who is either not strong or not curious is not calm and vice versa.
Everyone who is not generous is rich and vice versa.
If susan is either not wise or not kind then lucy is both brave and rich.
If susan is either generous or not strong then fred is not tall or happy and vice versa.
Everyone who is not generou... | Lucy is humble. | entailment | (![X]:((~strong(X)<~>~curious(X))<=>~calm(X)))&
(![X]:(~generous(X)<=>rich(X)))&
(((~wise(susan)<~>~kind(susan)))=>((brave(lucy)&rich(lucy))))&
(((generous(susan)<~>~strong(susan)))<=>((~tall(fred)|happy(fred))))&
(![X]:(~generous(X)=>calm(X)))&
((?[X]:((generous(X)<~>rich(X))))<=>(?[X]:((~funny(X)<~>~humble(X)))))&
(!... | humble(lucy) | [
"p1",
"p4",
"p6",
"p8",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7369216845065421957696536
% SZS output start Proof for 7369216845065421957696536
2. ! [X0] : (~generous(X0) <=> rich(X0)) [input p1]
5. ! [X0] : (~generous(X0) => calm(X0)) [input p4]
7. ! [X0] : ((rich(X0) <~> ~curious(X0)) => (generous(X0) & ~patient(X0))) [input p6]
9. ! [X0] : ((~rich... | 0 |
If john is happy or old then someone is creative. Everyone who is not brave is curious or not brave. If someone is creative or brave then alice is both tall and not funny. Everyone who is both brave and old is either not humble or not happy and vice versa. Everyone who is not old is both tall and kind and vice versa. E... | John is not humble. | entailment | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(~brave(X)=>(curious(X)|~brave(X))))&
((?[X]:((creative(X)|brave(X))))=>((tall(alice)&~funny(alice))))&
(![X]:((brave(X)&old(X))<=>(~humble(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(tall(X)&kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(kind(X)<~>~old(X))))&
(![X]:((wis... | ~humble(john) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8495955329722006273335760
% SZS output start Proof for 8495955329722006273335760
8. ! [X0] : ((calm(X0) | humble(X0)) => (~quiet(X0) & calm(X0))) [input p7]
14. ! [X0] : ((happy(X0) & ~calm(X0)) <=> (happy(X0) | ~quiet(X0))) [input p13]
24. humble(john) [input hypothesis]
34. ! [X0] : ((~... | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Fred is not strong. | entailment | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | ~strong(fred) | [
"p0",
"p1",
"p11",
"p12",
"p18",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7315129975366846271239661
% SZS output start Proof for 7315129975366846271239661
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p1]
12. (happy(lucy) | ~kind(lucy)) <=> ? [X0] : (brave(X0) & ... | 0 |
If someone is either not curious or quiet then susan is either calm or not humble. Everyone who is not calm is either not creative or not rich and vice versa. If someone is not humble or not patient then someone is not rich and vice versa. Everyone who is generous is not humble and vice versa. Everyone who is strong is... | Paul is not wise. | entailment | ((?[X]:((~curious(X)<~>quiet(X))))=>((calm(susan)<~>~humble(susan))))&
(![X]:(~calm(X)<=>(~creative(X)<~>~rich(X))))&
((?[X]:((~humble(X)|~patient(X))))<=>(?[X]:(~rich(X))))&
(![X]:(generous(X)<=>~humble(X)))&
(![X]:(strong(X)<=>(~strong(X)|~wise(X))))&
(((~strong(mary)<~>quiet(mary)))=>(?[X]:((strong(X)|~wise(X)))))&
... | ~wise(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3150109795916716860611771
% SZS output start Proof for 3150109795916716860611771
5. ! [X0] : (strong(X0) <=> (~wise(X0) | ~strong(X0))) [input p4]
24. wise(paul) [input hypothesis]
40. ! [X0] : ((strong(X0) | (wise(X0) & strong(X0))) & ((~wise(X0) | ~strong(X0)) | ~strong(X0))) [nnf trans... | 0 |
Everyone who is quiet is both tall and not happy.
Everyone who is either quiet or not strong is both happy and not old.
Everyone who is both not strong and not humble is not brave or not patient and vice versa.
If john is not curious then someone is quiet.
If fred is either tall or curious then lucy is either not curio... | Lucy is humble. | neutral | (![X]:(quiet(X)=>(tall(X)&~happy(X))))&
(![X]:((quiet(X)<~>~strong(X))=>(happy(X)&~old(X))))&
(![X]:((~strong(X)&~humble(X))<=>(~brave(X)|~patient(X))))&
((~curious(john))=>(?[X]:(quiet(X))))&
(((tall(fred)<~>curious(fred)))<=>((~curious(lucy)<~>patient(lucy))))&
((?[X]:((~generous(X)&~calm(X))))<=>(?[X]:((~curious(X)|... | humble(lucy) | [] | null | 0 |
Everyone who is either rich or curious is calm.
Everyone who is not happy or tall is either not strong or rich and vice versa.
If paul is both wise and not creative then alice is either not tall or not brave and vice versa.
Everyone who is not old is generous or not tall and vice versa.
Everyone who is both not wise an... | Lucy is not curious. | neutral | (![X]:((rich(X)<~>curious(X))=>calm(X)))&
(![X]:((~happy(X)|tall(X))<=>(~strong(X)<~>rich(X))))&
(((wise(paul)&~creative(paul)))<=>((~tall(alice)<~>~brave(alice))))&
(![X]:(~old(X)<=>(generous(X)|~tall(X))))&
(![X]:((~wise(X)&~happy(X))<=>brave(X)))&
(![X]:((~humble(X)|~happy(X))<=>(~generous(X)|rich(X))))&
(((~rich(fr... | ~curious(lucy) | [] | null | 0 |
Everyone who is both not calm and old is not old and vice versa.
Everyone who is both curious and not wise is either strong or not funny and vice versa.
Everyone who is both funny and not strong is both rich and not happy and vice versa.
If someone is not old or not quiet then susan is wise or not funny.
Everyone who i... | Alice is not curious. | entailment | (![X]:((~calm(X)&old(X))<=>~old(X)))&
(![X]:((curious(X)&~wise(X))<=>(strong(X)<~>~funny(X))))&
(![X]:((funny(X)&~strong(X))<=>(rich(X)&~happy(X))))&
((?[X]:((~old(X)|~quiet(X))))=>((wise(susan)|~funny(susan))))&
(![X]:((~wise(X)&~generous(X))<=>(happy(X)|~tall(X))))&
(![X]:((quiet(X)&~kind(X))=>(funny(X)&~quiet(X))))&... | ~curious(alice) | [
"p0",
"p4",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7367178701604253271136602
% SZS output start Proof for 7367178701604253271136602
1. ! [X0] : ((old(X0) & ~calm(X0)) <=> ~old(X0)) [input p0]
5. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (~tall(X0) | happy(X0))) [input p4]
7. ! [X0] : (wise(X0) <=> (~funny(X0) | strong(X0))) [input p6]
11.... | 0 |
Everyone who is humble or creative is not old and vice versa.
Everyone who is not creative is brave.
Everyone who is not humble or not creative is both not kind and humble and vice versa.
Everyone who is either not tall or happy is both happy and rich and vice versa.
Everyone who is both not happy and generous is eithe... | Mary is not generous. | entailment | (![X]:((humble(X)|creative(X))<=>~old(X)))&
(![X]:(~creative(X)=>brave(X)))&
(![X]:((~humble(X)|~creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(happy(X)&rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(~strong(X)<~>~calm(X))))&
(((generous(mary)<~>~old(mary)))<=>((humble(mary)&~quiet(mary))))&
((~c... | ~generous(mary) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6474104918774703466287204
% SZS output start Proof for 6474104918774703466287204
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (humble(X0) & ~kind(X0))) [input p2]
16. ! [X0] : ((~happy(X0) | generous(X0)) => ~humble(X0)) [input p15]
21. generous(mary) [input hypothesis]
28. ! [X0] : (~h... | 0 |
Everyone who is funny or not strong is not happy or not creative and vice versa.
If someone is both kind and old then someone is both happy and old.
Everyone who is not rich is strong and vice versa.
If someone is wise then someone is either tall or not calm and vice versa.
Everyone who is kind is both not wise and cal... | Mary is not brave. | entailment | (![X]:((funny(X)|~strong(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((kind(X)&old(X))))=>(?[X]:((happy(X)&old(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:(wise(X)))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(![X]:(kind(X)<=>(~wise(X)&calm(X))))&
(![X]:((~happy(X)&~wise(X))<=>(~quiet(X)&tall(X))))&
(![X]:((~brave(X)<~>~old(X))=... | ~brave(mary) | [
"p2",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7116212096173579704254297
% SZS output start Proof for 7116212096173579704254297
3. ! [X0] : (~rich(X0) <=> strong(X0)) [input p2]
7. ! [X0] : ((~brave(X0) <~> ~old(X0)) => (wise(X0) & quiet(X0))) [input p6]
9. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (old(X0) | quiet(X0))) [input p8]
14... | 0 |
Everyone who is not generous is both not tall and not quiet.
If fred is strong then lucy is not brave or not curious.
Everyone who is not quiet or generous is not humble and vice versa.
If mary is not quiet then mary is funny or creative.
If someone is either not calm or not kind then susan is both not curious and not ... | Fred is humble. | contradiction | (![X]:(~generous(X)=>(~tall(X)&~quiet(X))))&
((strong(fred))=>((~brave(lucy)|~curious(lucy))))&
(![X]:((~quiet(X)|generous(X))<=>~humble(X)))&
((~quiet(mary))=>((funny(mary)|creative(mary))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>((~curious(susan)&~generous(susan))))&
((?[X]:((~old(X)&~kind(X))))<=>(?[X]:((patient(X)<~>~c... | humble(fred) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 982044774499341806768888
% SZS output start Proof for 982044774499341806768888
1. ! [X0] : (~generous(X0) => (~quiet(X0) & ~tall(X0))) [input p0]
3. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> ~humble(X0)) [input p2]
25. humble(fred) [input hypothesis]
29. ! [X0] : ((~quiet(X0) & ~tall(X0))... | 0 |
Everyone who is both not old and funny is rich and vice versa.
Everyone who is both strong and quiet is old.
If paul is not kind or not strong then mary is either humble or curious.
Everyone who is not wise is not generous or not kind and vice versa.
Everyone who is quiet is either not funny or not wise.
Everyone who i... | Alice is not old. | entailment | (![X]:((~old(X)&funny(X))<=>rich(X)))&
(![X]:((strong(X)&quiet(X))=>old(X)))&
(((~kind(paul)|~strong(paul)))=>((humble(mary)<~>curious(mary))))&
(![X]:(~wise(X)<=>(~generous(X)|~kind(X))))&
(![X]:(quiet(X)=>(~funny(X)<~>~wise(X))))&
(![X]:(brave(X)=>~wise(X)))&
(![X]:(~humble(X)=>(~happy(X)&wise(X))))&
(![X]:(brave(X)<... | ~old(alice) | [
"p0",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7611606764331531115690952
% SZS output start Proof for 7611606764331531115690952
1. ! [X0] : ((funny(X0) & ~old(X0)) <=> rich(X0)) [input p0]
8. ! [X0] : (brave(X0) <=> ~rich(X0)) [input p7]
13. ! [X0] : (~rich(X0) => (~brave(X0) & kind(X0))) [input p12]
24. old(alice) [input hypothesis]
... | 0 |
If someone is both not generous and rich then john is either not wise or not kind and vice versa. If john is both kind and generous then someone is either curious or funny and vice versa. Everyone who is not creative or not happy is happy and vice versa. If alice is both tall and not wise then someone is happy or not s... | Fred is not old. | neutral | ((?[X]:((~generous(X)&rich(X))))<=>((~wise(john)<~>~kind(john))))&
(((kind(john)&generous(john)))<=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:((~creative(X)|~happy(X))<=>happy(X)))&
(((tall(alice)&~wise(alice)))=>(?[X]:((happy(X)|~strong(X)))))&
(![X]:(~strong(X)<=>quiet(X)))&
((?[X]:(~wise(X)))=>((quiet(fred)|~old(fred... | ~old(fred) | [] | null | 0 |
If someone is both calm and not old then someone is not curious and vice versa. If someone is both not kind and curious then someone is happy. If someone is both not wise and not funny then someone is either generous or not curious. If someone is humble or patient then lucy is both curious and strong and vice versa. If... | Fred is not wise. | contradiction | ((?[X]:((calm(X)&~old(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:(happy(X))))&
((?[X]:((~wise(X)&~funny(X))))=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((humble(X)|patient(X))))<=>((curious(lucy)&strong(lucy))))&
((?[X]:((~curious(X)|humble(X))))<=>(?[X]:((kind(X)&~happy(X)))))&
((~curio... | ~wise(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 569594351257884337720768
% SZS output start Proof for 569594351257884337720768
21. wise(fred) & ~funny(fred) [input p20]
25. ~wise(fred) [input hypothesis]
154. wise(fred) [cnf transformation 21]
160. ~wise(fred) [cnf transformation 25]
367. $false [subsumption resolution 160,154]
% SZS o... | 0 |
Everyone who is not creative or creative is either quiet or funny.
Everyone who is both not creative and not rich is tall and vice versa.
Everyone who is not generous or not old is either patient or curious and vice versa.
If someone is both wise and quiet then alice is not happy or not brave and vice versa.
If someone... | Fred is calm. | neutral | (![X]:((~creative(X)|creative(X))=>(quiet(X)<~>funny(X))))&
(![X]:((~creative(X)&~rich(X))<=>tall(X)))&
(![X]:((~generous(X)|~old(X))<=>(patient(X)<~>curious(X))))&
((?[X]:((wise(X)&quiet(X))))<=>((~happy(alice)|~brave(alice))))&
((?[X]:(humble(X)))<=>((~patient(fred)<~>calm(fred))))&
((~calm(paul))=>(?[X]:(~calm(X))))... | calm(fred) | [] | null | 0 |
Everyone who is not tall is both happy and not happy.
Everyone who is both generous and not creative is rich.
Everyone who is either creative or humble is not calm or not old.
Everyone who is curious is either funny or quiet.
Everyone who is patient is humble or happy and vice versa.
If someone is either brave or funny... | Fred is not tall. | contradiction | (![X]:(~tall(X)=>(happy(X)&~happy(X))))&
(![X]:((generous(X)&~creative(X))=>rich(X)))&
(![X]:((creative(X)<~>humble(X))=>(~calm(X)|~old(X))))&
(![X]:(curious(X)=>(funny(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(humble(X)|happy(X))))&
((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:((~brave(X)<~>... | ~tall(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7846608038967974150675207
% SZS output start Proof for 7846608038967974150675207
1. ! [X0] : (~tall(X0) => (~happy(X0) & happy(X0))) [input p0]
21. ~tall(fred) [input hypothesis]
24. ! [X0] : ((~happy(X0) & happy(X0)) | tall(X0)) [ennf transformation 1]
70. happy(X0) | tall(X0) [cnf trans... | 0 |
Everyone who is not wise or not old is patient or not funny and vice versa. Everyone who is either not brave or rich is not brave or brave. Everyone who is curious is either wise or generous. If someone is either humble or not tall then someone is either not patient or funny and vice versa. If someone is kind or not st... | Susan is not old. | entailment | (![X]:((~wise(X)|~old(X))<=>(patient(X)|~funny(X))))&
(![X]:((~brave(X)<~>rich(X))=>(~brave(X)|brave(X))))&
(![X]:(curious(X)=>(wise(X)<~>generous(X))))&
((?[X]:((humble(X)<~>~tall(X))))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((?[X]:((kind(X)|~strong(X))))=>(?[X]:((~wise(X)<~>~humble(X)))))&
((?[X]:(tall(X)))=>(?[X]:((g... | ~old(susan) | [
"p2",
"p8",
"p9",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8957435561680062171715109
% SZS output start Proof for 8957435561680062171715109
3. ! [X0] : (curious(X0) => (wise(X0) <~> generous(X0))) [input p2]
9. ! [X0] : ((~funny(X0) & ~old(X0)) <=> (~kind(X0) | wise(X0))) [input p8]
10. ! [X0] : (wise(X0) <=> ~curious(X0)) [input p9]
12. ! [X0] :... | 0 |
Everyone who is both old and curious is quiet and vice versa.
Everyone who is both not old and not kind is not curious or curious and vice versa.
Everyone who is humble is both not creative and generous.
If someone is both humble and strong then someone is tall or not wise and vice versa.
If fred is not tall then lucy ... | Paul is funny. | neutral | (![X]:((old(X)&curious(X))<=>quiet(X)))&
(![X]:((~old(X)&~kind(X))<=>(~curious(X)|curious(X))))&
(![X]:(humble(X)=>(~creative(X)&generous(X))))&
((?[X]:((humble(X)&strong(X))))<=>(?[X]:((tall(X)|~wise(X)))))&
((~tall(fred))<=>((~tall(lucy)|~patient(lucy))))&
((strong(john))=>((~quiet(mary)&humble(mary))))&
((~funny(sus... | funny(paul) | [] | null | 0 |
If someone is either kind or funny then someone is both not curious and old. If john is not happy or wise then someone is both strong and not tall. If someone is either old or funny then someone is strong. If paul is either not patient or creative then paul is happy or kind and vice versa. If susan is tall or not calm ... | John is not generous. | contradiction | ((?[X]:((kind(X)<~>funny(X))))=>(?[X]:((~curious(X)&old(X)))))&
(((~happy(john)|wise(john)))=>(?[X]:((strong(X)&~tall(X)))))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:(strong(X))))&
(((~patient(paul)<~>creative(paul)))<=>((happy(paul)|kind(paul))))&
(((tall(susan)|~calm(susan)))=>(?[X]:(old(X))))&
(![X]:(~old(X)<=>(~wise(X... | ~generous(john) | [
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7281311784647907724642145
% SZS output start Proof for 7281311784647907724642145
6. ! [X0] : (~old(X0) <=> (~generous(X0) | ~wise(X0))) [input p5]
8. ? [X0] : (quiet(X0) & ~quiet(X0)) <=> brave(john) [input p7]
15. ! [X0] : (~old(X0) <=> (~creative(X0) & brave(X0))) [input p14]
25. ~gener... | 0 |
If someone is not creative then someone is either old or not rich and vice versa.
If mary is generous or strong then alice is both calm and kind and vice versa.
If paul is generous then someone is both not funny and quiet and vice versa.
If someone is not wise or not old then susan is generous and vice versa.
If mary i... | Alice is not old. | neutral | ((?[X]:(~creative(X)))<=>(?[X]:((old(X)<~>~rich(X)))))&
(((generous(mary)|strong(mary)))<=>((calm(alice)&kind(alice))))&
((generous(paul))<=>(?[X]:((~funny(X)&quiet(X)))))&
((?[X]:((~wise(X)|~old(X))))<=>(generous(susan)))&
((rich(mary))<=>(?[X]:(humble(X))))&
((?[X]:(~calm(X)))=>(curious(paul)))&
(![X]:(wise(X)<=>~old... | ~old(alice) | [] | null | 0 |
Everyone who is either kind or happy is either not humble or wise.
If someone is not funny then mary is not patient and vice versa.
Everyone who is both generous and wise is both tall and patient.
Everyone who is funny or not quiet is both not patient and not curious and vice versa.
If someone is both strong and humble... | Fred is old. | neutral | (![X]:((kind(X)<~>happy(X))=>(~humble(X)<~>wise(X))))&
((?[X]:(~funny(X)))<=>(~patient(mary)))&
(![X]:((generous(X)&wise(X))=>(tall(X)&patient(X))))&
(![X]:((funny(X)|~quiet(X))<=>(~patient(X)&~curious(X))))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~wise(X)&~calm(X)))))&
((generous(mary))=>((~calm(fred)&tall(fred))))&... | old(fred) | [] | null | 0 |
If someone is either curious or not rich then john is both tall and not calm and vice versa. Everyone who is either not strong or wise is not kind. If mary is tall or calm then someone is not creative or wise and vice versa. If fred is not creative or not happy then susan is tall or not kind and vice versa. If someone ... | John is not patient. | contradiction | ((?[X]:((curious(X)<~>~rich(X))))<=>((tall(john)&~calm(john))))&
(![X]:((~strong(X)<~>wise(X))=>~kind(X)))&
(((tall(mary)|calm(mary)))<=>(?[X]:((~creative(X)|wise(X)))))&
(((~creative(fred)|~happy(fred)))<=>((tall(susan)|~kind(susan))))&
((?[X]:((~brave(X)|tall(X))))=>(?[X]:((creative(X)<~>strong(X)))))&
(![X]:((~calm(... | ~patient(john) | [
"p0",
"p1",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8451962629294627364788795
% SZS output start Proof for 8451962629294627364788795
1. ? [X0] : (curious(X0) <~> ~rich(X0)) <=> (~calm(john) & tall(john)) [input p0]
2. ! [X0] : ((~strong(X0) <~> wise(X0)) => ~kind(X0)) [input p1]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (curious(X0) <~> cal... | 0 |
If someone is calm or not curious then mary is either wise or funny.
Everyone who is both not calm and calm is both not strong and quiet and vice versa.
If someone is not humble or happy then someone is either brave or wise and vice versa.
Everyone who is either funny or not happy is not kind.
Everyone who is not funny... | Mary is kind. | entailment | ((?[X]:((calm(X)|~curious(X))))=>((wise(mary)<~>funny(mary))))&
(![X]:((~calm(X)&calm(X))<=>(~strong(X)&quiet(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~happy(X))=>~kind(X)))&
(![X]:((~funny(X)|brave(X))<=>(strong(X)<~>~brave(X))))&
(![X]:((~creative(X)|wise(X))<=>(funn... | kind(mary) | [
"p1",
"p4",
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8551479866446599401267991
% SZS output start Proof for 8551479866446599401267991
2. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (quiet(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((brave(X0) | ~funny(X0)) <=> (strong(X0) <~> ~brave(X0))) [input p4]
8. ! [X0] : ((funny(X0) | old(X0)) => (~brave(X0... | 0 |
Everyone who is humble is either not happy or not creative.
Everyone who is both funny and not calm is either not old or not patient and vice versa.
If paul is both quiet and not kind then someone is both not humble and not old.
Everyone who is not patient is not happy.
If someone is old or not tall then someone is fun... | Lucy is not humble. | entailment | (![X]:(humble(X)=>(~happy(X)<~>~creative(X))))&
(![X]:((funny(X)&~calm(X))<=>(~old(X)<~>~patient(X))))&
(((quiet(paul)&~kind(paul)))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:(~patient(X)=>~happy(X)))&
((?[X]:((old(X)|~tall(X))))=>(?[X]:(funny(X))))&
(![X]:((strong(X)&patient(X))=>(old(X)|~wise(X))))&
(![X]:((creative(X)<... | ~humble(lucy) | [
"p0",
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 840781146472995251431787
% SZS output start Proof for 840781146472995251431787
1. ! [X0] : (humble(X0) => (~happy(X0) <~> ~creative(X0))) [input p0]
7. ! [X0] : ((creative(X0) <~> ~tall(X0)) <=> (generous(X0) | tall(X0))) [input p6]
11. ! [X0] : ((creative(X0) <~> generous(X0)) <=> (~happ... | 0 |
Everyone who is happy is generous or rich.
If someone is either patient or not patient then fred is not strong or not old.
Everyone who is not kind is either not kind or generous and vice versa.
If someone is not curious or not kind then someone is either funny or not old and vice versa.
Everyone who is not patient or ... | Fred is strong. | neutral | (![X]:(happy(X)=>(generous(X)|rich(X))))&
((?[X]:((patient(X)<~>~patient(X))))=>((~strong(fred)|~old(fred))))&
(![X]:(~kind(X)<=>(~kind(X)<~>generous(X))))&
((?[X]:((~curious(X)|~kind(X))))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((~patient(X)|generous(X))<=>(strong(X)<~>~calm(X))))&
((?[X]:((creative(X)&~brave(X))))<=... | strong(fred) | [] | null | 0 |
If someone is not brave or not rich then susan is generous and vice versa. Everyone who is both wise and funny is both strong and wise and vice versa. Everyone who is not rich is either not curious or quiet. If someone is calm then alice is both not calm and not quiet. Everyone who is not happy is not rich and vice ver... | Susan is not happy. | neutral | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~>old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(funny(X)))<=>((~brave(john)|... | ~happy(susan) | [] | null | 0 |
If someone is both generous and not rich then someone is creative and vice versa.
Everyone who is either quiet or not patient is either not strong or funny and vice versa.
Everyone who is both not curious and tall is both not tall and not generous and vice versa.
Everyone who is not funny or brave is funny or not curio... | John is not curious. | contradiction | ((?[X]:((generous(X)&~rich(X))))<=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~patient(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((~curious(X)&tall(X))<=>(~tall(X)&~generous(X))))&
(![X]:((~funny(X)|brave(X))<=>(funny(X)|~curious(X))))&
(![X]:((humble(X)&generous(X))<=>(generous(X)&kind(X))))&
(![X]:((~curious(X)&old(X))=>... | ~curious(john) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6935027166676983746922356
% SZS output start Proof for 6935027166676983746922356
3. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~generous(X0) & ~tall(X0))) [input p2]
24. ~calm(john) & ~generous(john) [input p23]
25. ~curious(john) [input hypothesis]
45. ! [X0] : (((tall(X0) & ~curious(X0)) ... | 0 |
Everyone who is either not happy or curious is not curious and vice versa.
If someone is both generous and not curious then someone is either old or generous and vice versa.
Everyone who is both strong and not curious is either funny or calm and vice versa.
If fred is not strong then someone is both brave and not patie... | Susan is humble. | neutral | (![X]:((~happy(X)<~>curious(X))<=>~curious(X)))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((strong(X)&~curious(X))<=>(funny(X)<~>calm(X))))&
((~strong(fred))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~kind(X)&~patient(X))))&
(![X]:((happy(X)&~quiet(X))<=>(kind(X)<~>~ta... | humble(susan) | [] | null | 0 |
If someone is not rich or not strong then someone is both not funny and old.
If someone is both not strong and not brave then john is not wise or not kind.
Everyone who is old or rich is either not humble or not patient and vice versa.
Everyone who is not humble is either generous or not kind.
If someone is not creativ... | Alice is not brave. | entailment | ((?[X]:((~rich(X)|~strong(X))))=>(?[X]:((~funny(X)&old(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>((~wise(john)|~kind(john))))&
(![X]:((old(X)|rich(X))<=>(~humble(X)<~>~patient(X))))&
(![X]:(~humble(X)=>(generous(X)<~>~kind(X))))&
((?[X]:((~creative(X)|humble(X))))<=>(~wise(fred)))&
(![X]:((rich(X)&humble(X))=>(~old(X)|... | ~brave(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4649913138532134237128742
% SZS output start Proof for 4649913138532134237128742
13. ! [X0] : ((curious(X0) | brave(X0)) => ~brave(X0)) [input p12]
23. brave(alice) [input hypothesis]
35. ! [X0] : (~brave(X0) | (~curious(X0) & ~brave(X0))) [ennf transformation 13]
116. ~brave(X0) | ~brave... | 0 |
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