premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is both not wise and not curious then someone is either not strong or not generous.
Everyone who is funny or not curious is wise and vice versa.
Everyone who is rich is not wise or not patient.
Everyone who is humble is either not rich or not old.
Everyone who is either not creative or old is humble or funny an... | Susan is not curious. | contradiction | (((~wise(mary)&~curious(mary)))=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((funny(X)|~curious(X))<=>wise(X)))&
(![X]:(rich(X)=>(~wise(X)|~patient(X))))&
(![X]:(humble(X)=>(~rich(X)<~>~old(X))))&
(![X]:((~creative(X)<~>old(X))<=>(humble(X)|funny(X))))&
(![X]:((~humble(X)&~curious(X))<=>(tall(X)&~strong(X))))&
((~qui... | ~curious(susan) | [
"p1",
"p2",
"p4",
"p5",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6872398329630598303631545
% SZS output start Proof for 6872398329630598303631545
2. ! [X0] : ((~curious(X0) | funny(X0)) <=> wise(X0)) [input p1]
3. ! [X0] : (rich(X0) => (~patient(X0) | ~wise(X0))) [input p2]
5. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (funny(X0) | humble(X0))) [input p... | 0 |
If someone is both not curious and not creative then someone is not strong. Everyone who is curious is either not rich or quiet and vice versa. If someone is both not calm and not patient then someone is strong or rich and vice versa. Everyone who is both not creative and creative is old. If someone is both strong and ... | John is kind. | neutral | ((?[X]:((~curious(X)&~creative(X))))=>(?[X]:(~strong(X))))&
(![X]:(curious(X)<=>(~rich(X)<~>quiet(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((strong(X)|rich(X)))))&
(![X]:((~creative(X)&creative(X))=>old(X)))&
((?[X]:((strong(X)&rich(X))))=>((kind(john)<~>~rich(john))))&
(![X]:((~rich(X)|~old(X))=>happy(X)))&
(((... | kind(john) | [] | null | 0 |
Everyone who is both not wise and not brave is old and vice versa.
Everyone who is both not brave and patient is either not patient or not calm.
If fred is not patient then john is both funny and old.
If someone is either quiet or happy then alice is not strong and vice versa.
If lucy is both not strong and old then so... | Paul is not calm. | contradiction | (![X]:((~wise(X)&~brave(X))<=>old(X)))&
(![X]:((~brave(X)&patient(X))=>(~patient(X)<~>~calm(X))))&
((~patient(fred))=>((funny(john)&old(john))))&
((?[X]:((quiet(X)<~>happy(X))))<=>(~strong(alice)))&
(((~strong(lucy)&old(lucy)))=>(?[X]:((~generous(X)&~kind(X)))))&
(((~calm(john)<~>creative(john)))<=>(?[X]:((~curious(X)<... | ~calm(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 771472958009908595482333
% SZS output start Proof for 771472958009908595482333
14. ! [X0] : ((~tall(X0) <~> tall(X0)) <=> calm(X0)) [input p13]
24. ~calm(paul) [input hypothesis]
62. ! [X0] : ((((~tall(X0) | tall(X0)) & (tall(X0) | ~tall(X0))) | ~calm(X0)) & (calm(X0) | ((~tall(X0) | ~tal... | 0 |
If paul is both patient and rich then someone is not generous or funny. Everyone who is both strong and not kind is not tall or patient. Everyone who is both not patient and not funny is not tall and vice versa. Everyone who is not old is not patient or not quiet and vice versa. If someone is both not quiet and not bra... | Mary is not patient. | entailment | (((patient(paul)&rich(paul)))=>(?[X]:((~generous(X)|funny(X)))))&
(![X]:((strong(X)&~kind(X))=>(~tall(X)|patient(X))))&
(![X]:((~patient(X)&~funny(X))<=>~tall(X)))&
(![X]:(~old(X)<=>(~patient(X)|~quiet(X))))&
((?[X]:((~quiet(X)&~brave(X))))=>((rich(lucy)&~patient(lucy))))&
(![X]:(kind(X)<=>(curious(X)&~old(X))))&
(![X]... | ~patient(mary) | [
"p2",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6017252690397058635175161
% SZS output start Proof for 6017252690397058635175161
3. ! [X0] : ((~funny(X0) & ~patient(X0)) <=> ~tall(X0)) [input p2]
12. ! [X0] : ((creative(X0) & calm(X0)) <=> (brave(X0) | tall(X0))) [input p11]
13. ! [X0] : ((calm(X0) | happy(X0)) <=> ~generous(X0)) [inpu... | 0 |
Everyone who is not patient is old or not rich and vice versa.
Everyone who is both not tall and not brave is quiet or not rich and vice versa.
Everyone who is both old and happy is either not quiet or not old.
Everyone who is either kind or patient is both not rich and not quiet.
If susan is funny or brave then someon... | Susan is funny. | contradiction | (![X]:(~patient(X)<=>(old(X)|~rich(X))))&
(![X]:((~tall(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
(![X]:((old(X)&happy(X))=>(~quiet(X)<~>~old(X))))&
(![X]:((kind(X)<~>patient(X))=>(~rich(X)&~quiet(X))))&
(((funny(susan)|brave(susan)))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(strong(X)<=>(~brave(X)&~patient(X))))&
(![X]:((~h... | funny(susan) | [
"p1",
"p5",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8612263010275517411539666
% SZS output start Proof for 8612263010275517411539666
2. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (~rich(X0) | quiet(X0))) [input p1]
6. ! [X0] : (strong(X0) <=> (~patient(X0) & ~brave(X0))) [input p5]
10. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~funny(X0) & gener... | 0 |
If fred is happy or old then alice is not calm and vice versa.
Everyone who is both funny and not quiet is not old and vice versa.
If someone is both not old and not curious then someone is either not calm or not quiet and vice versa.
Everyone who is both wise and happy is patient or not creative and vice versa.
If som... | Alice is not curious. | entailment | (((happy(fred)|old(fred)))<=>(~calm(alice)))&
(![X]:((funny(X)&~quiet(X))<=>~old(X)))&
((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~calm(X)<~>~quiet(X)))))&
(![X]:((wise(X)&happy(X))<=>(patient(X)|~creative(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:(generous(X))))&... | ~curious(alice) | [
"p1",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 135553803754218753181492
% SZS output start Proof for 135553803754218753181492
2. ! [X0] : ((~quiet(X0) & funny(X0)) <=> ~old(X0)) [input p1]
10. ! [X0] : (~wise(X0) <=> (old(X0) <~> ~funny(X0))) [input p9]
13. ! [X0] : (funny(X0) => (~curious(X0) & ~quiet(X0))) [input p12]
14. ! [X0] : (... | 0 |
Everyone who is not happy or not strong is not happy.
Everyone who is old or not creative is either wise or not brave and vice versa.
If someone is both humble and tall then someone is both calm and funny.
If alice is not quiet then mary is either happy or kind and vice versa.
If someone is curious or old then susan is... | Paul is tall. | entailment | (![X]:((~happy(X)|~strong(X))=>~happy(X)))&
(![X]:((old(X)|~creative(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((humble(X)&tall(X))))=>(?[X]:((calm(X)&funny(X)))))&
((~quiet(alice))<=>((happy(mary)<~>kind(mary))))&
((?[X]:((curious(X)|old(X))))=>((~funny(susan)|tall(susan))))&
(![X]:((old(X)<~>~happy(X))=>wise(X)))&
(![X]:... | tall(paul) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 29367661158737534818636
% SZS output start Proof for 29367661158737534818636
11. ? [X0] : (patient(X0) | ~calm(X0)) => (~rich(paul) & tall(paul)) [input p10]
21. ? [X0] : (patient(X0) & ~old(X0)) [input p20]
25. ~tall(paul) [input hypothesis]
35. (~rich(paul) & tall(paul)) | ! [X0] : (~pa... | 0 |
If susan is either not humble or old then mary is both not humble and not generous and vice versa. Everyone who is kind or not patient is both old and creative. Everyone who is both not creative and not calm is creative. Everyone who is not generous or not kind is not calm or wise and vice versa. Everyone who is both n... | Mary is creative. | entailment | (((~humble(susan)<~>old(susan)))<=>((~humble(mary)&~generous(mary))))&
(![X]:((kind(X)|~patient(X))=>(old(X)&creative(X))))&
(![X]:((~creative(X)&~calm(X))=>creative(X)))&
(![X]:((~generous(X)|~kind(X))<=>(~calm(X)|wise(X))))&
(![X]:((~patient(X)&happy(X))=>(~quiet(X)&~brave(X))))&
(![X]:(~strong(X)=>(old(X)&kind(X))))... | creative(mary) | [
"p1",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 272660826353895145581421
% SZS output start Proof for 272660826353895145581421
2. ! [X0] : ((~patient(X0) | kind(X0)) => (creative(X0) & old(X0))) [input p1]
3. ! [X0] : ((~calm(X0) & ~creative(X0)) => creative(X0)) [input p2]
13. ! [X0] : ((calm(X0) | ~quiet(X0)) => (old(X0) & kind(X0)))... | 0 |
If someone is either not quiet or wise then someone is not old or strong.
If someone is not tall or not rich then paul is patient or not humble and vice versa.
Everyone who is either brave or not humble is brave or rich and vice versa.
Everyone who is strong or not kind is not curious or not rich and vice versa.
Everyo... | Paul is not rich. | contradiction | ((?[X]:((~quiet(X)<~>wise(X))))=>(?[X]:((~old(X)|strong(X)))))&
((?[X]:((~tall(X)|~rich(X))))<=>((patient(paul)|~humble(paul))))&
(![X]:((brave(X)<~>~humble(X))<=>(brave(X)|rich(X))))&
(![X]:((strong(X)|~kind(X))<=>(~curious(X)|~rich(X))))&
(![X]:((brave(X)&old(X))<=>(old(X)<~>~quiet(X))))&
(((~old(fred)<~>~calm(fred))... | ~rich(paul) | [
"p1",
"p2",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3751171662249826906835130
% SZS output start Proof for 3751171662249826906835130
2. ? [X0] : (~rich(X0) | ~tall(X0)) <=> (~humble(paul) | patient(paul)) [input p1]
3. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (rich(X0) | brave(X0))) [input p2]
15. ! [X0] : ((funny(X0) & ~rich(X0)) <=> (~c... | 0 |
Everyone who is both not patient and not brave is either not humble or calm and vice versa.
Everyone who is rich or creative is humble and vice versa.
If susan is both not brave and patient then mary is not humble or not calm.
If someone is both not quiet and old then someone is not quiet and vice versa.
Everyone who i... | John is old. | neutral | (![X]:((~patient(X)&~brave(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((rich(X)|creative(X))<=>humble(X)))&
(((~brave(susan)&patient(susan)))=>((~humble(mary)|~calm(mary))))&
((?[X]:((~quiet(X)&old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(brave(X)=>~funny(X)))&
(((happy(lucy)&~tall(lucy)))=>(?[X]:((~humble(X)&~patient(X)))))&
(!... | old(john) | [] | null | 0 |
Everyone who is both not old and humble is patient and vice versa.
If john is not humble then mary is wise or not wise.
Everyone who is old or not old is wise and vice versa.
Everyone who is both funny and not rich is both not brave and calm.
Everyone who is wise or not happy is both not calm and creative.
Everyone who... | Paul is not rich. | contradiction | (![X]:((~old(X)&humble(X))<=>patient(X)))&
((~humble(john))=>((wise(mary)|~wise(mary))))&
(![X]:((old(X)|~old(X))<=>wise(X)))&
(![X]:((funny(X)&~rich(X))=>(~brave(X)&calm(X))))&
(![X]:((wise(X)|~happy(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|~happy(X))=>(brave(X)&kind(X))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[... | ~rich(paul) | [
"p0",
"p2",
"p4",
"p5",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6135947919815329522256620
% SZS output start Proof for 6135947919815329522256620
1. ! [X0] : ((humble(X0) & ~old(X0)) <=> patient(X0)) [input p0]
3. ! [X0] : ((~old(X0) | old(X0)) <=> wise(X0)) [input p2]
5. ! [X0] : ((~happy(X0) | wise(X0)) => (creative(X0) & ~calm(X0))) [input p4]
6. ! ... | 0 |
If someone is generous or creative then john is both generous and not rich. Everyone who is either brave or wise is either strong or humble and vice versa. If fred is both not generous and creative then someone is not wise or calm and vice versa. Everyone who is calm or creative is not happy and vice versa. If someone ... | John is brave. | contradiction | ((?[X]:((generous(X)|creative(X))))=>((generous(john)&~rich(john))))&
(![X]:((brave(X)<~>wise(X))<=>(strong(X)<~>humble(X))))&
(((~generous(fred)&creative(fred)))<=>(?[X]:((~wise(X)|calm(X)))))&
(![X]:((calm(X)|creative(X))<=>~happy(X)))&
((?[X]:((~rich(X)|generous(X))))<=>((~humble(fred)<~>~strong(fred))))&
(![X]:((ca... | brave(john) | [
"p1",
"p2",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1609796727132743769385930
% SZS output start Proof for 1609796727132743769385930
2. ! [X0] : ((brave(X0) <~> wise(X0)) <=> (strong(X0) <~> humble(X0))) [input p1]
3. (creative(fred) & ~generous(fred)) <=> ? [X0] : (calm(X0) | ~wise(X0)) [input p2]
7. kind(mary) <=> ? [X0] : creative(X0) [... | 0 |
Everyone who is old or quiet is humble or not old. Everyone who is not kind or rich is either kind or not curious. Everyone who is either old or creative is not old and vice versa. Everyone who is both not wise and not strong is both calm and tall. Everyone who is either rich or not humble is generous or not old. If lu... | John is not wise. | neutral | (![X]:((old(X)|quiet(X))=>(humble(X)|~old(X))))&
(![X]:((~kind(X)|rich(X))=>(kind(X)<~>~curious(X))))&
(![X]:((old(X)<~>creative(X))<=>~old(X)))&
(![X]:((~wise(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((rich(X)<~>~humble(X))=>(generous(X)|~old(X))))&
(((~funny(lucy)&funny(lucy)))<=>((~happy(john)&~strong(john))))&
((... | ~wise(john) | [] | null | 0 |
If someone is tall then someone is both not humble and wise and vice versa.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someone is both creative and curious.
Everyone who is both not funny and creat... | Mary is patient. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X]:((~strong(X)&~old(X))))<=>((happy(paul)<~>~strong(pau... | patient(mary) | [
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2644570730795522040330279
% SZS output start Proof for 2644570730795522040330279
5. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~curious(X0)) [input p4]
10. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (~brave(X0) & patient(X0))) [input p9]
18. funny(mary) & ~tall(mary) [input p17]
24. ~patie... | 0 |
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vice versa.
Everyone who is not strong or old is both funny and not tall.
Everyone wh... | Paul is not generous. | contradiction | (![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(... | ~generous(paul) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6029758626219690750121576
% SZS output start Proof for 6029758626219690750121576
1. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p0]
3. ! [X0] : (~curious(X0) <=> patient(X0)) [input p2]
4. ! [X0] : (~generous(X0) <=> curious(X0)) [input p3]
5. ! [X0] : ((old(X0)... | 0 |
Everyone who is brave is both brave and not calm and vice versa.
Everyone who is either not funny or not humble is both humble and not patient.
If fred is either not old or old then susan is either quiet or calm.
Everyone who is tall is funny.
If john is not kind then john is either tall or not quiet and vice versa.
Ev... | Mary is not humble. | neutral | (![X]:(brave(X)<=>(brave(X)&~calm(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(humble(X)&~patient(X))))&
(((~old(fred)<~>old(fred)))=>((quiet(susan)<~>calm(susan))))&
(![X]:(tall(X)=>funny(X)))&
((~kind(john))<=>((tall(john)<~>~quiet(john))))&
(![X]:((patient(X)|~quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:(~strong(X)))=>(?[X... | ~humble(mary) | [] | null | 0 |
If alice is either tall or not happy then paul is either not humble or kind and vice versa. If someone is both humble and old then fred is not rich or not creative. If someone is not creative then someone is either strong or not kind. If paul is quiet or not humble then fred is not happy and vice versa. If susan is ric... | Paul is not wise. | neutral | (((tall(alice)<~>~happy(alice)))<=>((~humble(paul)<~>kind(paul))))&
((?[X]:((humble(X)&old(X))))=>((~rich(fred)|~creative(fred))))&
((?[X]:(~creative(X)))=>(?[X]:((strong(X)<~>~kind(X)))))&
(((quiet(paul)|~humble(paul)))<=>(~happy(fred)))&
(((rich(susan)|~brave(susan)))=>(rich(mary)))&
(![X]:(creative(X)<=>(~brave(X)<~... | ~wise(paul) | [] | null | 0 |
If someone is not brave then someone is either not tall or not creative and vice versa.
Everyone who is curious is not funny.
If alice is not strong then someone is not curious or calm and vice versa.
Everyone who is either not generous or not wise is both not wise and not generous and vice versa.
Everyone who is not c... | Mary is not tall. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)<~>~creative(X)))))&
(![X]:(curious(X)=>~funny(X)))&
((~strong(alice))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:((~generous(X)<~>~wise(X))<=>(~wise(X)&~generous(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~brave(X)<~>happy(X))))&
(![X]:(~generous(X)<=>(~funny(X)&~creative(X))))&
(![X]:((... | ~tall(mary) | [] | null | 0 |
If someone is either patient or kind then fred is either not rich or brave.
If mary is patient or happy then mary is either quiet or strong.
Everyone who is either happy or old is either happy or not brave.
Everyone who is not brave is tall or brave and vice versa.
Everyone who is calm is not curious and vice versa.
If... | Alice is humble. | entailment | ((?[X]:((patient(X)<~>kind(X))))=>((~rich(fred)<~>brave(fred))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>old(X))=>(happy(X)<~>~brave(X))))&
(![X]:(~brave(X)<=>(tall(X)|brave(X))))&
(![X]:(calm(X)<=>~curious(X)))&
(((old(susan)<~>~patient(susan)))<=>((~calm(john)|curious(john... | humble(alice) | [
"p4",
"p6",
"p7",
"p13",
"p15",
"p18",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 977371984252640561798993
% SZS output start Proof for 977371984252640561798993
5. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p4]
7. ! [X0] : (old(X0) <=> (~rich(X0) <~> quiet(X0))) [input p6]
8. ! [X0] : ((creative(X0) | ~generous(X0)) => humble(X0)) [input p7]
14. ? [X0] : (~curious(X0)... | 0 |
Everyone who is both creative and happy is both tall and humble and vice versa.
If susan is not kind or not patient then someone is either not quiet or happy and vice versa.
If paul is not quiet then someone is not brave or not generous.
If someone is either not strong or not rich then someone is either tall or not cur... | Paul is not patient. | contradiction | (![X]:((creative(X)&happy(X))<=>(tall(X)&humble(X))))&
(((~kind(susan)|~patient(susan)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
((~quiet(paul))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(~happy(X)<=>(~kind(X)<~>funny(X))))&
(((patient(john)&~quiet(john... | ~patient(paul) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1273634479425823518589274
% SZS output start Proof for 1273634479425823518589274
10. ! [X0] : (~patient(X0) <=> (creative(X0) & ~strong(X0))) [input p9]
16. rich(paul) & strong(paul) [input p15]
21. ~patient(paul) [input hypothesis]
53. ! [X0] : ((~patient(X0) | (~creative(X0) | strong(X0... | 0 |
If someone is not old or not quiet then alice is both not quiet and not wise and vice versa. If mary is not kind or not wise then alice is either old or not calm. Everyone who is not rich is old. Everyone who is happy or not quiet is not curious or curious and vice versa. If lucy is not old then alice is not old and vi... | Paul is not creative. | neutral | ((?[X]:((~old(X)|~quiet(X))))<=>((~quiet(alice)&~wise(alice))))&
(((~kind(mary)|~wise(mary)))=>((old(alice)<~>~calm(alice))))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((happy(X)|~quiet(X))<=>(~curious(X)|curious(X))))&
((~old(lucy))<=>(~old(alice)))&
(((calm(lucy)<~>~generous(lucy)))=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((~qu... | ~creative(paul) | [] | null | 0 |
Everyone who is generous or humble is not humble or not creative.
If susan is funny or not kind then someone is either not patient or wise.
If fred is both not strong and quiet then paul is not brave or funny and vice versa.
If fred is quiet or generous then someone is both not patient and kind and vice versa.
Everyone... | Fred is not brave. | entailment | (![X]:((generous(X)|humble(X))=>(~humble(X)|~creative(X))))&
(((funny(susan)|~kind(susan)))=>(?[X]:((~patient(X)<~>wise(X)))))&
(((~strong(fred)&quiet(fred)))<=>((~brave(paul)|funny(paul))))&
(((quiet(fred)|generous(fred)))<=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:((~calm(X)&brave(X))=>(~patient(X)&~curious(X))))&
(![X... | ~brave(fred) | [
"p0",
"p10",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8760634836767238474863280
% SZS output start Proof for 8760634836767238474863280
1. ! [X0] : ((humble(X0) | generous(X0)) => (~creative(X0) | ~humble(X0))) [input p0]
11. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (funny(X0) | brave(X0))) [input p10]
13. ! [X0] : ((quiet(X0) & ~creative(... | 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... | Lucy is kind. | contradiction | (![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... | kind(lucy) | [
"p4",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5580473361889728501374064
% SZS output start Proof for 5580473361889728501374064
5. ! [X0] : (~strong(X0) => (~patient(X0) & ~kind(X0))) [input p4]
10. ! [X0] : ((generous(X0) & wise(X0)) <=> strong(X0)) [input p9]
19. ~funny(lucy) & ~generous(lucy) [input p18]
25. kind(lucy) [input hypot... | 0 |
If someone is either brave or not brave then john is old or not old and vice versa. If fred is patient or not calm then alice is not rich or not quiet and vice versa. Everyone who is both quiet and humble is either patient or quiet and vice versa. Everyone who is not quiet is either not humble or not creative and vice ... | Alice is curious. | neutral | ((?[X]:((brave(X)<~>~brave(X))))<=>((old(john)|~old(john))))&
(((patient(fred)|~calm(fred)))<=>((~rich(alice)|~quiet(alice))))&
(![X]:((quiet(X)&humble(X))<=>(patient(X)<~>quiet(X))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~creative(X))))&
(![X]:((~tall(X)<~>calm(X))=>~happy(X)))&
(![X]:(generous(X)<=>funny(X)))&
(![X]:((~q... | curious(alice) | [] | null | 0 |
If mary is not strong then someone is not patient or not strong and vice versa.
Everyone who is both not brave and not kind is either not humble or not strong.
Everyone who is not quiet is both not strong and not creative and vice versa.
If someone is either not wise or not tall then someone is not humble or not old.
I... | Mary is not rich. | entailment | ((~strong(mary))<=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:((~brave(X)&~kind(X))=>(~humble(X)<~>~strong(X))))&
(![X]:(~quiet(X)<=>(~strong(X)&~creative(X))))&
((?[X]:((~wise(X)<~>~tall(X))))=>(?[X]:((~humble(X)|~old(X)))))&
((?[X]:((~brave(X)&humble(X))))=>(~strong(paul)))&
((?[X]:(funny(X)))<=>(?[X]:((~creative(X)<~... | ~rich(mary) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7617624464399282986750588
% SZS output start Proof for 7617624464399282986750588
1. ~strong(mary) <=> ? [X0] : (~strong(X0) | ~patient(X0)) [input p0]
3. ! [X0] : (~quiet(X0) <=> (~creative(X0) & ~strong(X0))) [input p2]
7. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => (happy(X0) & ~funny(X0))... | 0 |
Everyone who is not creative is either not old or happy and vice versa.
Everyone who is quiet or not rich is not generous and vice versa.
Everyone who is both quiet and calm is strong.
Everyone who is either brave or not tall is generous or not creative.
Everyone who is both not kind and not strong is calm.
If paul is ... | Mary is calm. | contradiction | (![X]:(~creative(X)<=>(~old(X)<~>happy(X))))&
(![X]:((quiet(X)|~rich(X))<=>~generous(X)))&
(![X]:((quiet(X)&calm(X))=>strong(X)))&
(![X]:((brave(X)<~>~tall(X))=>(generous(X)|~creative(X))))&
(![X]:((~kind(X)&~strong(X))=>calm(X)))&
(((~quiet(paul)&quiet(paul)))<=>(?[X]:(old(X))))&
(((curious(john)|~old(john)))<=>(?[X]:... | calm(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 879101279101051451330191
% SZS output start Proof for 879101279101051451330191
24. ~calm(mary) & funny(mary) [input p23]
25. calm(mary) [input hypothesis]
136. ~calm(mary) [cnf transformation 24]
137. calm(mary) [cnf transformation 25]
290. 34 <=> calm(mary) [avatar definition]
298. ~34 [... | 0 |
Everyone who is both not happy and brave is both tall and wise.
If someone is not creative then someone is both not wise and not kind.
Everyone who is both not creative and not patient is either creative or generous and vice versa.
Everyone who is wise is either creative or strong.
If someone is not curious or quiet th... | Fred is not quiet. | neutral | (![X]:((~happy(X)&brave(X))=>(tall(X)&wise(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:((~creative(X)&~patient(X))<=>(creative(X)<~>generous(X))))&
(![X]:(wise(X)=>(creative(X)<~>strong(X))))&
((?[X]:((~curious(X)|quiet(X))))=>(?[X]:((patient(X)|~brave(X)))))&
((funny(mary))<=>((funny(mary)&~qui... | ~quiet(fred) | [] | null | 0 |
Everyone who is either not brave or not quiet is both not wise and strong.
If alice is either curious or strong then someone is quiet or not humble.
Everyone who is either not calm or old is generous.
Everyone who is not brave is not creative or not quiet.
Everyone who is curious or not generous is creative.
If someone... | Susan is creative. | neutral | (![X]:((~brave(X)<~>~quiet(X))=>(~wise(X)&strong(X))))&
(((curious(alice)<~>strong(alice)))=>(?[X]:((quiet(X)|~humble(X)))))&
(![X]:((~calm(X)<~>old(X))=>generous(X)))&
(![X]:(~brave(X)=>(~creative(X)|~quiet(X))))&
(![X]:((curious(X)|~generous(X))=>creative(X)))&
((?[X]:((~happy(X)<~>funny(X))))<=>((brave(john)|calm(jo... | creative(susan) | [] | null | 0 |
If someone is both not creative and not happy then lucy is either not strong or funny.
Everyone who is curious or patient is either not rich or not funny.
Everyone who is either calm or generous is not tall or not strong.
Everyone who is old or not rich is both wise and generous.
Everyone who is not quiet is creative o... | Paul is strong. | entailment | ((?[X]:((~creative(X)&~happy(X))))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((curious(X)|patient(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))=>(~tall(X)|~strong(X))))&
(![X]:((old(X)|~rich(X))=>(wise(X)&generous(X))))&
(![X]:(~quiet(X)<=>(creative(X)|wise(X))))&
(((generous(mary)&~brave(mary)))=>((~qui... | strong(paul) | [
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8711346275462960921703562
% SZS output start Proof for 8711346275462960921703562
4. ! [X0] : ((~rich(X0) | old(X0)) => (generous(X0) & wise(X0))) [input p3]
7. ! [X0] : (old(X0) <=> ~strong(X0)) [input p6]
8. ! [X0] : (~kind(X0) <=> (calm(X0) | generous(X0))) [input p7]
12. ! [X0] : ((old... | 0 |
Everyone who is either wise or not old is either not old or not strong and vice versa.
If someone is both not old and creative then someone is brave.
If someone is either not strong or tall then mary is not funny and vice versa.
If someone is both not funny and not patient then someone is brave.
Everyone who is either ... | Fred is not curious. | neutral | (![X]:((wise(X)<~>~old(X))<=>(~old(X)<~>~strong(X))))&
((?[X]:((~old(X)&creative(X))))=>(?[X]:(brave(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(~funny(mary)))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:(brave(X))))&
(![X]:((~brave(X)<~>old(X))=>~strong(X)))&
((?[X]:(~strong(X)))=>(?[X]:((patient(X)|~happy(X)))))&
((?[X]... | ~curious(fred) | [] | null | 0 |
If someone is generous then someone is quiet. If someone is either tall or not creative then someone is both not curious and brave. If someone is either kind or not curious then lucy is both patient and quiet and vice versa. Everyone who is both not wise and calm is both not happy and not curious and vice versa. If som... | Fred is wise. | neutral | ((?[X]:(generous(X)))=>(?[X]:(quiet(X))))&
((?[X]:((tall(X)<~>~creative(X))))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:((kind(X)<~>~curious(X))))<=>((patient(lucy)&quiet(lucy))))&
(![X]:((~wise(X)&calm(X))<=>(~happy(X)&~curious(X))))&
((?[X]:((creative(X)<~>rich(X))))=>((~tall(susan)&~wise(susan))))&
(![X]:((humble(X)... | wise(fred) | [] | null | 0 |
If fred is both not strong and kind then someone is both not creative and brave and vice versa.
If someone is not wise then paul is both not wise and tall.
Everyone who is curious is not happy or tall.
Everyone who is both wise and not happy is either not tall or not old.
If fred is both humble and brave then fred is n... | Alice is not quiet. | neutral | (((~strong(fred)&kind(fred)))<=>(?[X]:((~creative(X)&brave(X)))))&
((?[X]:(~wise(X)))=>((~wise(paul)&tall(paul))))&
(![X]:(curious(X)=>(~happy(X)|tall(X))))&
(![X]:((wise(X)&~happy(X))=>(~tall(X)<~>~old(X))))&
(((humble(fred)&brave(fred)))<=>((~funny(fred)|patient(fred))))&
(![X]:(funny(X)<=>(~tall(X)<~>calm(X))))&
(![... | ~quiet(alice) | [] | null | 0 |
Everyone who is happy or not calm is both kind and not happy and vice versa.
Everyone who is either not curious or not generous is not humble and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is both not wise and not brave is brave and vice versa.
Everyone who is both... | John is kind. | contradiction | (![X]:((happy(X)|~calm(X))<=>(kind(X)&~happy(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>~humble(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creative(lucy)))<=>(?[X]:((tall(X)|brave(X)))))&
(![X]:(... | kind(john) | [
"p0",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8932863043221564687360259
% SZS output start Proof for 8932863043221564687360259
1. ! [X0] : ((~calm(X0) | happy(X0)) <=> (~happy(X0) & kind(X0))) [input p0]
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p3]
8. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))... | 0 |
Everyone who is both generous and not funny is not generous and vice versa.
Everyone who is tall or patient is funny.
Everyone who is not strong is not curious or not funny and vice versa.
Everyone who is either not creative or not curious is both not wise and not tall and vice versa.
If paul is not calm or brave then ... | Susan is not old. | contradiction | (![X]:((generous(X)&~funny(X))<=>~generous(X)))&
(![X]:((tall(X)|patient(X))=>funny(X)))&
(![X]:(~strong(X)<=>(~curious(X)|~funny(X))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~wise(X)&~tall(X))))&
(((~calm(paul)|brave(paul)))=>((~humble(susan)|~funny(susan))))&
(![X]:((~funny(X)<~>happy(X))<=>(creative(X)<~>brave(X)))... | ~old(susan) | [
"p0",
"p2",
"p7",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5706382592457116361371705
% SZS output start Proof for 5706382592457116361371705
1. ! [X0] : ((~funny(X0) & generous(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : (~strong(X0) <=> (~funny(X0) | ~curious(X0))) [input p2]
8. ? [X0] : (generous(X0) & ~curious(X0)) => (strong(susan) | old(su... | 0 |
If paul is not funny or patient then paul is not old or curious. Everyone who is generous or rich is both humble and not brave and vice versa. If fred is both not happy and not old then fred is either generous or not curious and vice versa. Everyone who is not rich or not generous is either brave or not kind and vice v... | Alice is not wise. | entailment | (((~funny(paul)|patient(paul)))=>((~old(paul)|curious(paul))))&
(![X]:((generous(X)|rich(X))<=>(humble(X)&~brave(X))))&
(((~happy(fred)&~old(fred)))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((~rich(X)|~generous(X))<=>(brave(X)<~>~kind(X))))&
((~humble(alice))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((~patient(mary))... | ~wise(alice) | [
"p1",
"p4",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4391075615041309137756102
% SZS output start Proof for 4391075615041309137756102
2. ! [X0] : ((rich(X0) | generous(X0)) <=> (~brave(X0) & humble(X0))) [input p1]
5. ~humble(alice) <=> ? [X0] : (~patient(X0) <~> funny(X0)) [input p4]
11. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (~calm(X0) |... | 0 |
If lucy is not strong then susan is creative or not creative and vice versa. Everyone who is both brave and not old is strong or patient and vice versa. If someone is rich then paul is either humble or happy. If mary is both not happy and creative then someone is both not creative and generous and vice versa. If someon... | Susan is not old. | neutral | ((~strong(lucy))<=>((creative(susan)|~creative(susan))))&
(![X]:((brave(X)&~old(X))<=>(strong(X)|patient(X))))&
((?[X]:(rich(X)))=>((humble(paul)<~>happy(paul))))&
(((~happy(mary)&creative(mary)))<=>(?[X]:((~creative(X)&generous(X)))))&
((?[X]:((~curious(X)<~>generous(X))))=>((funny(john)<~>calm(john))))&
((?[X]:((~gen... | ~old(susan) | [] | null | 0 |
If alice is generous or happy then paul is strong.
Everyone who is not funny is not funny or brave.
Everyone who is not generous or quiet is curious and vice versa.
Everyone who is both old and happy is both not funny and not wise.
Everyone who is either strong or funny is both curious and generous and vice versa.
If s... | Lucy is curious. | entailment | (((generous(alice)|happy(alice)))=>(strong(paul)))&
(![X]:(~funny(X)=>(~funny(X)|brave(X))))&
(![X]:((~generous(X)|quiet(X))<=>curious(X)))&
(![X]:((old(X)&happy(X))=>(~funny(X)&~wise(X))))&
(![X]:((strong(X)<~>funny(X))<=>(curious(X)&generous(X))))&
((?[X]:((~calm(X)|quiet(X))))=>(?[X]:((~wise(X)|generous(X)))))&
((?[... | curious(lucy) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8298478541420760382413
% SZS output start Proof for 8298478541420760382413
3. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> curious(X0)) [input p2]
22. ~generous(lucy) & ~tall(lucy) [input p21]
23. ~curious(lucy) [input hypothesis]
40. ! [X0] : (((quiet(X0) | ~generous(X0)) | ~curious(X0)) & ... | 0 |
Everyone who is both not tall and not curious is not humble or quiet.
If someone is either kind or strong then fred is both not kind and funny and vice versa.
Everyone who is either not brave or not rich is quiet or strong and vice versa.
If someone is both not wise and not curious then alice is wise and vice versa.
Ev... | Fred is funny. | entailment | (![X]:((~tall(X)&~curious(X))=>(~humble(X)|quiet(X))))&
((?[X]:((kind(X)<~>strong(X))))<=>((~kind(fred)&funny(fred))))&
(![X]:((~brave(X)<~>~rich(X))<=>(quiet(X)|strong(X))))&
((?[X]:((~wise(X)&~curious(X))))<=>(wise(alice)))&
(![X]:((calm(X)|generous(X))<=>(old(X)<~>calm(X))))&
(((~happy(fred)<~>~curious(fred)))=>(?[X... | funny(fred) | [
"p4",
"p6",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6764526498310948500964919
% SZS output start Proof for 6764526498310948500964919
5. ! [X0] : ((generous(X0) | calm(X0)) <=> (old(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (funny(X0) | ~patient(X0))) [input p6]
11. ? [X0] : (old(X0) <~> ~wise(X0)) <=> ? [X0] :... | 0 |
Everyone who is not curious or patient is both not wise and happy.
If paul is not brave then someone is quiet or not strong and vice versa.
If john is kind then someone is rich or wise.
Everyone who is either not old or happy is tall.
If mary is not tall then someone is old or generous and vice versa.
If someone is eit... | Fred is rich. | neutral | (![X]:((~curious(X)|patient(X))=>(~wise(X)&happy(X))))&
((~brave(paul))<=>(?[X]:((quiet(X)|~strong(X)))))&
((kind(john))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((~old(X)<~>happy(X))=>tall(X)))&
((~tall(mary))<=>(?[X]:((old(X)|generous(X)))))&
((?[X]:((~funny(X)<~>~happy(X))))<=>((~happy(susan)<~>~humble(susan))))&
(![X]:(... | rich(fred) | [] | null | 0 |
If someone is either not rich or tall then someone is either creative or patient.
If susan is both curious and not funny then someone is not patient.
If someone is quiet or not rich then fred is not funny.
Everyone who is not curious is both quiet and not old.
If lucy is curious or not curious then mary is not curious ... | Fred is curious. | neutral | ((?[X]:((~rich(X)<~>tall(X))))=>(?[X]:((creative(X)<~>patient(X)))))&
(((curious(susan)&~funny(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((quiet(X)|~rich(X))))=>(~funny(fred)))&
(![X]:(~curious(X)=>(quiet(X)&~old(X))))&
(((curious(lucy)|~curious(lucy)))<=>(~curious(mary)))&
(((~generous(fred)&~curious(fred)))=>(?[X]:((cu... | curious(fred) | [] | null | 0 |
Everyone who is both funny and not funny is not humble or not calm and vice versa. If someone is not strong then fred is either not tall or not happy and vice versa. Everyone who is either not funny or old is both not calm and not strong and vice versa. If paul is either not quiet or not calm then john is curious or ge... | Fred is calm. | entailment | (![X]:((funny(X)&~funny(X))<=>(~humble(X)|~calm(X))))&
((?[X]:(~strong(X)))<=>((~tall(fred)<~>~happy(fred))))&
(![X]:((~funny(X)<~>old(X))<=>(~calm(X)&~strong(X))))&
(((~quiet(paul)<~>~calm(paul)))<=>((curious(john)|generous(john))))&
(![X]:(~old(X)=>(wise(X)&humble(X))))&
(![X]:(~strong(X)<=>(~old(X)<~>~humble(X))))&
... | calm(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8679664546539539546439606
% SZS output start Proof for 8679664546539539546439606
1. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~calm(X0) | ~humble(X0))) [input p0]
22. ~calm(fred) [input hypothesis]
31. ! [X0] : (((~funny(X0) & funny(X0)) | (calm(X0) & humble(X0))) & ((~calm(X0) | ~humble(X0... | 0 |
Everyone who is not rich or not humble is tall and vice versa.
If alice is both kind and brave then someone is either not funny or not tall.
Everyone who is strong is both wise and not funny and vice versa.
Everyone who is brave is not creative or not tall and vice versa.
If fred is humble then susan is both not patien... | Alice is creative. | neutral | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(((kind(alice)&brave(alice)))=>(?[X]:((~funny(X)<~>~tall(X)))))&
(![X]:(strong(X)<=>(wise(X)&~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)|~tall(X))))&
((humble(fred))<=>((~patient(susan)&happy(susan))))&
(![X]:((~brave(X)|~wise(X))=>~strong(X)))&
(![X]:((~patient(X)<~>humble(X... | creative(alice) | [] | null | 0 |
Everyone who is either wise or not old is not quiet and vice versa. If lucy is not old or brave then paul is both brave and not humble. If someone is both not curious and strong then lucy is not tall or not rich. Everyone who is strong or brave is old or strong. Everyone who is either humble or kind is either not rich ... | Alice is not brave. | entailment | (![X]:((wise(X)<~>~old(X))<=>~quiet(X)))&
(((~old(lucy)|brave(lucy)))=>((brave(paul)&~humble(paul))))&
((?[X]:((~curious(X)&strong(X))))=>((~tall(lucy)|~rich(lucy))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~cre... | ~brave(alice) | [
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2609095559003100509106194
% SZS output start Proof for 2609095559003100509106194
8. (~funny(john) & ~brave(john)) <=> (funny(alice) <~> patient(alice)) [input p7]
11. ! [X0] : ((brave(X0) <~> ~patient(X0)) => (brave(X0) <~> wise(X0))) [input p10]
12. ! [X0] : ((~wise(X0) | happy(X0)) <=> ... | 0 |
Everyone who is kind or not funny is both not rich and humble and vice versa.
Everyone who is not calm or not creative is either not calm or wise.
Everyone who is tall or calm is either not tall or not creative.
If john is wise then someone is both not strong and wise.
Everyone who is both creative and wise is strong o... | John is patient. | entailment | (![X]:((kind(X)|~funny(X))<=>(~rich(X)&humble(X))))&
(![X]:((~calm(X)|~creative(X))=>(~calm(X)<~>wise(X))))&
(![X]:((tall(X)|calm(X))=>(~tall(X)<~>~creative(X))))&
((wise(john))=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((creative(X)&wise(X))=>(strong(X)|~wise(X))))&
(![X]:((~rich(X)&~old(X))<=>(~strong(X)|strong(X))))&
(... | patient(john) | [
"p1",
"p3",
"p5",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6194559223268394105465204
% SZS output start Proof for 6194559223268394105465204
2. ! [X0] : ((~creative(X0) | ~calm(X0)) => (~calm(X0) <~> wise(X0))) [input p1]
4. wise(john) => ? [X0] : (wise(X0) & ~strong(X0)) [input p3]
6. ! [X0] : ((~old(X0) & ~rich(X0)) <=> (strong(X0) | ~strong(X0)... | 0 |
Everyone who is either not wise or kind is both kind and not brave and vice versa.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet or humble is not rich or patient and vice versa.
Everyone who is both not ... | Fred is quiet. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(kind(X)&~brave(X))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brav... | quiet(fred) | [
"p2",
"p4",
"p6",
"p10",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7464470074406591510240505
% SZS output start Proof for 7464470074406591510240505
3. ! [X0] : ((strong(X0) & creative(X0)) <=> (patient(X0) | quiet(X0))) [input p2]
5. ! [X0] : ((funny(X0) & ~tall(X0)) <=> (curious(X0) | ~old(X0))) [input p4]
7. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(... | 0 |
Everyone who is creative is both not humble and strong.
Everyone who is either kind or not funny is not quiet or wise.
Everyone who is either brave or kind is not calm.
Everyone who is curious or strong is both not tall and not quiet.
Everyone who is not calm or quiet is happy or not wise.
Everyone who is not generous ... | Paul is old. | neutral | (![X]:(creative(X)=>(~humble(X)&strong(X))))&
(![X]:((kind(X)<~>~funny(X))=>(~quiet(X)|wise(X))))&
(![X]:((brave(X)<~>kind(X))=>~calm(X)))&
(![X]:((curious(X)|strong(X))=>(~tall(X)&~quiet(X))))&
(![X]:((~calm(X)|quiet(X))=>(happy(X)|~wise(X))))&
(![X]:(~generous(X)<=>rich(X)))&
(((~happy(paul)|creative(paul)))<=>(?[X]:... | old(paul) | [] | null | 0 |
If someone is brave then fred is kind and vice versa.
Everyone who is not patient or kind is both not calm and not tall.
Everyone who is wise is tall.
Everyone who is kind or wise is not curious or quiet and vice versa.
If someone is either not strong or not creative then lucy is either humble or not patient.
If alice ... | Alice is quiet. | contradiction | ((?[X]:(brave(X)))<=>(kind(fred)))&
(![X]:((~patient(X)|kind(X))=>(~calm(X)&~tall(X))))&
(![X]:(wise(X)=>tall(X)))&
(![X]:((kind(X)|wise(X))<=>(~curious(X)|quiet(X))))&
((?[X]:((~strong(X)<~>~creative(X))))=>((humble(lucy)<~>~patient(lucy))))&
(((~creative(alice)<~>~humble(alice)))<=>(?[X]:(~old(X))))&
(![X]:((~old(X)<... | quiet(alice) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3642310167948359285393369
% SZS output start Proof for 3642310167948359285393369
2. ! [X0] : ((kind(X0) | ~patient(X0)) => (~tall(X0) & ~calm(X0))) [input p1]
3. ! [X0] : (wise(X0) => tall(X0)) [input p2]
4. ! [X0] : ((wise(X0) | kind(X0)) <=> (quiet(X0) | ~curious(X0))) [input p3]
6. (~c... | 0 |
If susan is not old then someone is funny or not wise.
Everyone who is both kind and not funny is either funny or not happy.
If someone is both tall and not quiet then someone is either creative or brave.
Everyone who is strong is either kind or rich and vice versa.
Everyone who is either not generous or calm is not br... | Alice is happy. | contradiction | ((~old(susan))=>(?[X]:((funny(X)|~wise(X)))))&
(![X]:((kind(X)&~funny(X))=>(funny(X)<~>~happy(X))))&
((?[X]:((tall(X)&~quiet(X))))=>(?[X]:((creative(X)<~>brave(X)))))&
(![X]:(strong(X)<=>(kind(X)<~>rich(X))))&
(![X]:((~generous(X)<~>calm(X))<=>(~brave(X)|~old(X))))&
((?[X]:((~funny(X)&creative(X))))<=>((~creative(paul)... | happy(alice) | [
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8996380594177351028214263
% SZS output start Proof for 8996380594177351028214263
10. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (tall(X0) | ~humble(X0))) [input p9]
11. strong(alice) <=> humble(alice) [input p10]
16. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (~strong(X0) & quiet(X0))) [input p15]... | 0 |
Everyone who is wise or happy is both not generous and not tall.
If someone is both not old and creative then someone is both not tall and not quiet and vice versa.
Everyone who is not rich or calm is both rich and brave and vice versa.
If someone is not brave then someone is not quiet.
Everyone who is both not brave a... | Lucy is not brave. | entailment | (![X]:((wise(X)|happy(X))=>(~generous(X)&~tall(X))))&
((?[X]:((~old(X)&creative(X))))<=>(?[X]:((~tall(X)&~quiet(X)))))&
(![X]:((~rich(X)|calm(X))<=>(rich(X)&brave(X))))&
((?[X]:(~brave(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)&~creative(X))<=>(~patient(X)<~>brave(X))))&
(![X]:((quiet(X)&~brave(X))<=>funny(X)))&
(![X... | ~brave(lucy) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8000952554765412385817963
% SZS output start Proof for 8000952554765412385817963
6. ! [X0] : ((~brave(X0) & quiet(X0)) <=> funny(X0)) [input p5]
7. ! [X0] : (funny(X0) <=> (brave(X0) | creative(X0))) [input p6]
23. brave(lucy) [input hypothesis]
49. ! [X0] : (((~brave(X0) & quiet(X0)) | ~... | 0 |
If lucy is both funny and tall then someone is either wise or humble and vice versa.
Everyone who is both funny and not rich is both not wise and not kind.
If lucy is patient or not generous then john is both wise and not happy and vice versa.
If someone is either not quiet or not funny then someone is funny or not old... | Alice is quiet. | contradiction | (((funny(lucy)&tall(lucy)))<=>(?[X]:((wise(X)<~>humble(X)))))&
(![X]:((funny(X)&~rich(X))=>(~wise(X)&~kind(X))))&
(((patient(lucy)|~generous(lucy)))<=>((wise(john)&~happy(john))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:((funny(X)|~old(X)))))&
((?[X]:(~humble(X)))=>(?[X]:(~creative(X))))&
(![X]:((tall(X)<~>~creative(... | quiet(alice) | [
"p8",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6407234627166012742567184
% SZS output start Proof for 6407234627166012742567184
9. ! [X0] : ((curious(X0) | ~calm(X0)) <=> (~curious(X0) | ~patient(X0))) [input p8]
13. ! [X0] : (~patient(X0) <=> (~curious(X0) | patient(X0))) [input p12]
24. ~quiet(alice) | curious(alice) [input p23]
25.... | 0 |
Everyone who is both funny and not rich is either not patient or old and vice versa. If lucy is either rich or not generous then alice is both calm and curious. Everyone who is both creative and happy is both brave and not happy and vice versa. Everyone who is not tall or rich is not strong and vice versa. If john is b... | Mary is not happy. | neutral | (![X]:((funny(X)&~rich(X))<=>(~patient(X)<~>old(X))))&
(((rich(lucy)<~>~generous(lucy)))=>((calm(alice)&curious(alice))))&
(![X]:((creative(X)&happy(X))<=>(brave(X)&~happy(X))))&
(![X]:((~tall(X)|rich(X))<=>~strong(X)))&
(((~tall(john)&~calm(john)))=>((~kind(paul)&~strong(paul))))&
((?[X]:(~creative(X)))<=>(~funny(fred... | ~happy(mary) | [] | null | 0 |
Everyone who is either brave or not wise is not wise and vice versa. Everyone who is not happy or not strong is either not kind or curious. If fred is not rich then fred is not calm and vice versa. Everyone who is either not creative or quiet is both not curious and kind. Everyone who is not happy is both funny and old... | Alice is not wise. | neutral | (![X]:((brave(X)<~>~wise(X))<=>~wise(X)))&
(![X]:((~happy(X)|~strong(X))=>(~kind(X)<~>curious(X))))&
((~rich(fred))<=>(~calm(fred)))&
(![X]:((~creative(X)<~>quiet(X))=>(~curious(X)&kind(X))))&
(![X]:(~happy(X)=>(funny(X)&old(X))))&
(![X]:(strong(X)=>(~calm(X)|~creative(X))))&
(![X]:((~curious(X)&happy(X))=>(rich(X)<~>~... | ~wise(alice) | [] | null | 0 |
If someone is either funny or not quiet then someone is either not calm or not kind and vice versa.
Everyone who is wise or kind is both not rich and humble and vice versa.
Everyone who is either not funny or not rich is not tall.
Everyone who is both not tall and not funny is not wise.
If someone is either funny or ol... | John is not calm. | entailment | ((?[X]:((funny(X)<~>~quiet(X))))<=>(?[X]:((~calm(X)<~>~kind(X)))))&
(![X]:((wise(X)|kind(X))<=>(~rich(X)&humble(X))))&
(![X]:((~funny(X)<~>~rich(X))=>~tall(X)))&
(![X]:((~tall(X)&~funny(X))=>~wise(X)))&
((?[X]:((funny(X)<~>old(X))))<=>(?[X]:((~old(X)&strong(X)))))&
((strong(john))=>(?[X]:((~brave(X)<~>wise(X)))))&
(![X... | ~calm(john) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 192175087782519863440308
% SZS output start Proof for 192175087782519863440308
8. ! [X0] : ((calm(X0) & patient(X0)) <=> (wise(X0) & ~patient(X0))) [input p7]
16. ! [X0] : ((wise(X0) & ~wise(X0)) <=> (~patient(X0) <~> wise(X0))) [input p15]
24. calm(john) [input hypothesis]
56. ! [X0] : (... | 0 |
Everyone who is not calm or strong is both kind and old and vice versa.
Everyone who is not old is tall or not generous.
Everyone who is not rich is rich or not creative.
Everyone who is both not wise and funny is not quiet.
If someone is not quiet or brave then someone is not old and vice versa.
If paul is calm or not... | Lucy is calm. | entailment | (![X]:((~calm(X)|strong(X))<=>(kind(X)&old(X))))&
(![X]:(~old(X)=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)=>(rich(X)|~creative(X))))&
(![X]:((~wise(X)&funny(X))=>~quiet(X)))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(~old(X))))&
(((calm(paul)|~strong(paul)))=>((~creative(alice)<~>patient(alice))))&
(![X]:((old(X)|~humbl... | calm(lucy) | [
"p0",
"p9",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6529815208687231847532613
% SZS output start Proof for 6529815208687231847532613
1. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (old(X0) & kind(X0))) [input p0]
10. ! [X0] : ((~calm(X0) | ~generous(X0)) => strong(X0)) [input p9]
11. ! [X0] : ((~happy(X0) <~> ~strong(X0)) <=> (~tall(X0) | wise(... | 0 |
Everyone who is creative or not tall is generous.
Everyone who is wise or quiet is not generous.
If someone is humble or not brave then someone is not patient.
Everyone who is both tall and not generous is not happy.
If mary is not funny or old then someone is both not calm and not wise.
If someone is both calm and str... | Mary is not funny. | entailment | (![X]:((creative(X)|~tall(X))=>generous(X)))&
(![X]:((wise(X)|quiet(X))=>~generous(X)))&
((?[X]:((humble(X)|~brave(X))))=>(?[X]:(~patient(X))))&
(![X]:((tall(X)&~generous(X))=>~happy(X)))&
(((~funny(mary)|old(mary)))=>(?[X]:((~calm(X)&~wise(X)))))&
((?[X]:((calm(X)&strong(X))))<=>(?[X]:(~happy(X))))&
(((humble(mary)<~>... | ~funny(mary) | [
"p0",
"p1",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5790058886567945996964909
% SZS output start Proof for 5790058886567945996964909
1. ! [X0] : ((~tall(X0) | creative(X0)) => generous(X0)) [input p0]
2. ! [X0] : ((quiet(X0) | wise(X0)) => ~generous(X0)) [input p1]
10. ! [X0] : ((brave(X0) | tall(X0)) <=> ~tall(X0)) [input p9]
13. (~tall(m... | 0 |
If susan is either not rich or wise then lucy is not rich and vice versa.
If mary is either not wise or not brave then alice is funny or not quiet and vice versa.
If john is not happy or generous then fred is either strong or not calm and vice versa.
Everyone who is either not generous or not wise is both creative and ... | Alice is not quiet. | contradiction | (((~rich(susan)<~>wise(susan)))<=>(~rich(lucy)))&
(((~wise(mary)<~>~brave(mary)))<=>((funny(alice)|~quiet(alice))))&
(((~happy(john)|generous(john)))<=>((strong(fred)<~>~calm(fred))))&
(![X]:((~generous(X)<~>~wise(X))<=>(creative(X)&~humble(X))))&
((quiet(susan))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:(~patient(X)<=... | ~quiet(alice) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3349452823024473395625745
% SZS output start Proof for 3349452823024473395625745
9. ! [X0] : ((creative(X0) <~> old(X0)) <=> old(X0)) [input p8]
15. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~brave(X0) & quiet(X0))) [input p14]
24. ~quiet(alice) [input hypothesis]
29. ! [X0] : ((~brave(X0... | 0 |
Everyone who is either not brave or not funny is not rich and vice versa. Everyone who is not rich is not quiet or not tall and vice versa. Everyone who is humble is kind or rich. If someone is both humble and not quiet then mary is funny or not generous. Everyone who is either humble or quiet is not rich and vice vers... | Alice is not quiet. | contradiction | (![X]:((~brave(X)<~>~funny(X))<=>~rich(X)))&
(![X]:(~rich(X)<=>(~quiet(X)|~tall(X))))&
(![X]:(humble(X)=>(kind(X)|rich(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((funny(mary)|~generous(mary))))&
(![X]:((humble(X)<~>quiet(X))<=>~rich(X)))&
((?[X]:(funny(X)))=>((~curious(mary)&curious(mary))))&
(![X]:((happy(X)|~rich(X))=>... | ~quiet(alice) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6000587336428081720205081
% SZS output start Proof for 6000587336428081720205081
1. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> ~rich(X0)) [input p0]
2. ! [X0] : (~rich(X0) <=> (~tall(X0) | ~quiet(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> quiet(X0)) <=> ~rich(X0)) [input p4]
6. ? [X0] :... | 0 |
If susan is wise then alice is either kind or happy and vice versa.
If someone is both not strong and old then fred is both not brave and not wise.
Everyone who is not rich or not quiet is both kind and creative.
If someone is both not creative and not curious then john is creative.
If someone is tall or funny then sus... | Mary is strong. | neutral | ((wise(susan))<=>((kind(alice)<~>happy(alice))))&
((?[X]:((~strong(X)&old(X))))=>((~brave(fred)&~wise(fred))))&
(![X]:((~rich(X)|~quiet(X))=>(kind(X)&creative(X))))&
((?[X]:((~creative(X)&~curious(X))))=>(creative(john)))&
((?[X]:((tall(X)|funny(X))))<=>(tall(susan)))&
(![X]:(curious(X)=>(creative(X)&~generous(X))))&
(... | strong(mary) | [] | null | 0 |
Everyone who is not strong or not generous is both happy and humble and vice versa.
Everyone who is both patient and old is not funny or not old.
If someone is both not happy and kind then fred is both funny and brave and vice versa.
If someone is curious then someone is not creative or funny and vice versa.
If someone... | Susan is strong. | neutral | (![X]:((~strong(X)|~generous(X))<=>(happy(X)&humble(X))))&
(![X]:((patient(X)&old(X))=>(~funny(X)|~old(X))))&
((?[X]:((~happy(X)&kind(X))))<=>((funny(fred)&brave(fred))))&
((?[X]:(curious(X)))<=>(?[X]:((~creative(X)|funny(X)))))&
((?[X]:((~creative(X)|calm(X))))<=>(?[X]:((~tall(X)|~quiet(X)))))&
(![X]:((~curious(X)|old... | strong(susan) | [] | null | 0 |
Everyone who is not curious or brave is kind or tall.
Everyone who is not wise or not tall is not funny or creative and vice versa.
If mary is either not calm or creative then someone is either humble or wise.
Everyone who is humble or not humble is kind.
Everyone who is either not creative or not funny is not brave.
I... | Mary is not quiet. | entailment | (![X]:((~curious(X)|brave(X))=>(kind(X)|tall(X))))&
(![X]:((~wise(X)|~tall(X))<=>(~funny(X)|creative(X))))&
(((~calm(mary)<~>creative(mary)))=>(?[X]:((humble(X)<~>wise(X)))))&
(![X]:((humble(X)|~humble(X))=>kind(X)))&
(![X]:((~creative(X)<~>~funny(X))=>~brave(X)))&
(((~generous(mary)&brave(mary)))<=>(?[X]:((brave(X)|~c... | ~quiet(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1709210131816041132223185
% SZS output start Proof for 1709210131816041132223185
7. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (~quiet(X0) & ~happy(X0))) [input p6]
22. quiet(mary) [input hypothesis]
47. ! [X0] : ((((generous(X0) | ~generous(X0)) & (~generous(X0) | generous(X0))) | (q... | 0 |
If mary is either brave or not wise then someone is strong or not brave.
If mary is both not old and not funny then mary is happy or not calm and vice versa.
If fred is not wise or curious then fred is not happy or not patient.
If someone is not humble or creative then mary is either not creative or creative.
Everyone ... | Alice is not humble. | contradiction | (((brave(mary)<~>~wise(mary)))=>(?[X]:((strong(X)|~brave(X)))))&
(((~old(mary)&~funny(mary)))<=>((happy(mary)|~calm(mary))))&
(((~wise(fred)|curious(fred)))=>((~happy(fred)|~patient(fred))))&
((?[X]:((~humble(X)|creative(X))))=>((~creative(mary)<~>creative(mary))))&
(![X]:((~humble(X)<~>brave(X))<=>(~curious(X)|~genero... | ~humble(alice) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 655673715503044210597714
% SZS output start Proof for 655673715503044210597714
5. ! [X0] : ((~humble(X0) <~> brave(X0)) <=> (~generous(X0) | ~curious(X0))) [input p4]
7. ! [X0] : ((old(X0) | ~brave(X0)) => (~funny(X0) & ~patient(X0))) [input p6]
8. ! [X0] : ((humble(X0) | rich(X0)) => (fu... | 0 |
Everyone who is not kind is tall or strong and vice versa. If someone is not patient or patient then someone is tall or brave. If susan is not wise or not curious then fred is both creative and not humble. Everyone who is both not brave and quiet is brave and vice versa. Everyone who is either kind or not patient is bo... | Mary is not curious. | contradiction | (![X]:(~kind(X)<=>(tall(X)|strong(X))))&
((?[X]:((~patient(X)|patient(X))))=>(?[X]:((tall(X)|brave(X)))))&
(((~wise(susan)|~curious(susan)))=>((creative(fred)&~humble(fred))))&
(![X]:((~brave(X)&quiet(X))<=>brave(X)))&
(![X]:((kind(X)<~>~patient(X))<=>(curious(X)&funny(X))))&
(![X]:((old(X)<~>curious(X))<=>calm(X)))&
(... | ~curious(mary) | [
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5879173934594390877282216
% SZS output start Proof for 5879173934594390877282216
5. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (funny(X0) & curious(X0))) [input p4]
13. ! [X0] : ((~calm(X0) | ~old(X0)) => old(X0)) [input p12]
14. ! [X0] : (~old(X0) <=> (patient(X0) <~> kind(X0))) [input p1... | 0 |
If alice is not quiet or not tall then mary is either not funny or not patient and vice versa. If someone is not rich or not generous then john is old or not strong. If fred is both not generous and not brave then someone is curious and vice versa. Everyone who is old is either not quiet or not generous and vice versa.... | Lucy is not generous. | entailment | (((~quiet(alice)|~tall(alice)))<=>((~funny(mary)<~>~patient(mary))))&
((?[X]:((~rich(X)|~generous(X))))=>((old(john)|~strong(john))))&
(((~generous(fred)&~brave(fred)))<=>(?[X]:(curious(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>~generous(X))))&
(![X]:((strong(X)&humble(X))=>(~funny(X)&~quiet(X))))&
(![X]:((wise(X)&strong(X))... | ~generous(lucy) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8241327760807804803383279
% SZS output start Proof for 8241327760807804803383279
4. ! [X0] : (old(X0) <=> (~quiet(X0) <~> ~generous(X0))) [input p3]
5. ! [X0] : ((humble(X0) & strong(X0)) => (~quiet(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((strong(X0) & wise(X0)) <=> (kind(X0) <~> brave... | 0 |
Everyone who is either patient or brave is either not brave or not quiet and vice versa. Everyone who is both not quiet and not funny is both generous and tall. If susan is either rich or quiet then someone is either generous or creative and vice versa. Everyone who is humble is quiet or not rich. If alice is kind then... | Paul is not quiet. | neutral | (![X]:((patient(X)<~>brave(X))<=>(~brave(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&~funny(X))=>(generous(X)&tall(X))))&
(((rich(susan)<~>quiet(susan)))<=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:(humble(X)=>(quiet(X)|~rich(X))))&
((kind(alice))=>(tall(alice)))&
(((~strong(paul)&~happy(paul)))<=>((patient(alice)<~>~old(a... | ~quiet(paul) | [] | null | 0 |
If susan is not generous or strong then paul is not strong and vice versa.
If someone is not happy or tall then fred is humble or tall and vice versa.
If someone is either generous or not calm then someone is curious or brave.
If someone is calm or not old then mary is quiet.
Everyone who is not calm or kind is generou... | Mary is not calm. | neutral | (((~generous(susan)|strong(susan)))<=>(~strong(paul)))&
((?[X]:((~happy(X)|tall(X))))<=>((humble(fred)|tall(fred))))&
((?[X]:((generous(X)<~>~calm(X))))=>(?[X]:((curious(X)|brave(X)))))&
((?[X]:((calm(X)|~old(X))))=>(quiet(mary)))&
(![X]:((~calm(X)|kind(X))<=>generous(X)))&
(![X]:((~quiet(X)<~>~old(X))=>(~generous(X)<~... | ~calm(mary) | [] | null | 0 |
If someone is not tall or not creative then susan is both wise and not tall and vice versa.
If someone is rich then paul is both not humble and not creative and vice versa.
Everyone who is either not rich or generous is not kind.
Everyone who is quiet or funny is tall or not rich and vice versa.
Everyone who is not bra... | Susan is rich. | neutral | ((?[X]:((~tall(X)|~creative(X))))<=>((wise(susan)&~tall(susan))))&
((?[X]:(rich(X)))<=>((~humble(paul)&~creative(paul))))&
(![X]:((~rich(X)<~>generous(X))=>~kind(X)))&
(![X]:((quiet(X)|funny(X))<=>(tall(X)|~rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(~brave(X)&rich(X))))&
((?[X]:((~kind(X)<~>~humble(X))))=>((~rich(sus... | rich(susan) | [] | null | 0 |
Everyone who is both not quiet and kind is tall or not rich and vice versa. If someone is rich or brave then someone is not old and vice versa. Everyone who is either not kind or kind is curious and vice versa. Everyone who is patient is happy and vice versa. Everyone who is not wise or not calm is calm or not generous... | Alice is not patient. | contradiction | (![X]:((~quiet(X)&kind(X))<=>(tall(X)|~rich(X))))&
((?[X]:((rich(X)|brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((~kind(X)<~>kind(X))<=>curious(X)))&
(![X]:(patient(X)<=>happy(X)))&
(![X]:((~wise(X)|~calm(X))=>(calm(X)|~generous(X))))&
((generous(lucy))<=>(?[X]:((humble(X)&brave(X)))))&
(((~strong(john)|~brave(john)))<=>(?[... | ~patient(alice) | [
"p0",
"p2",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2731441216323939395116233
% SZS output start Proof for 2731441216323939395116233
1. ! [X0] : ((kind(X0) & ~quiet(X0)) <=> (~rich(X0) | tall(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> curious(X0)) [input p2]
9. ? [X0] : (~funny(X0) & funny(X0)) <=> ? [X0] : (~tall(X0) & ~pa... | 0 |
Everyone who is both not creative and humble is tall or funny and vice versa. If mary is both not strong and not old then someone is both not tall and brave. If someone is not old or quiet then lucy is either tall or wise and vice versa. If paul is either curious or quiet then alice is both wise and not kind and vice v... | Paul is wise. | contradiction | (![X]:((~creative(X)&humble(X))<=>(tall(X)|funny(X))))&
(((~strong(mary)&~old(mary)))=>(?[X]:((~tall(X)&brave(X)))))&
((?[X]:((~old(X)|quiet(X))))<=>((tall(lucy)<~>wise(lucy))))&
(((curious(paul)<~>quiet(paul)))<=>((wise(alice)&~kind(alice))))&
(![X]:((~funny(X)&~generous(X))=>(quiet(X)&~kind(X))))&
(![X]:((~wise(X)|pa... | wise(paul) | [
"p5",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1765048381590824337567601
% SZS output start Proof for 1765048381590824337567601
6. ! [X0] : ((patient(X0) | ~wise(X0)) <=> ~old(X0)) [input p5]
17. ~old(paul) [input p16]
23. ~patient(paul) & humble(paul) [input p22]
24. wise(paul) [input hypothesis]
52. ! [X0] : (((patient(X0) | ~wise(X... | 0 |
Everyone who is either quiet or calm is either funny or not tall and vice versa.
Everyone who is strong is not wise and vice versa.
If lucy is not curious or strong then someone is both brave and curious.
If someone is either generous or not strong then mary is both brave and not calm.
Everyone who is not kind is not c... | Fred is brave. | entailment | (![X]:((quiet(X)<~>calm(X))<=>(funny(X)<~>~tall(X))))&
(![X]:(strong(X)<=>~wise(X)))&
(((~curious(lucy)|strong(lucy)))=>(?[X]:((brave(X)&curious(X)))))&
((?[X]:((generous(X)<~>~strong(X))))=>((brave(mary)&~calm(mary))))&
(![X]:(~kind(X)<=>(~curious(X)|creative(X))))&
(![X]:((rich(X)|humble(X))=>(~tall(X)&~quiet(X))))&
... | brave(fred) | [
"p5",
"p7",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6341604236879760082197111
% SZS output start Proof for 6341604236879760082197111
6. ! [X0] : ((humble(X0) | rich(X0)) => (~quiet(X0) & ~tall(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~brave(X0)) => tall(X0)) [input p7]
10. ? [X0] : (~quiet(X0) | ~creative(X0)) <=> humble(fred) [input ... | 0 |
If someone is either not old or patient then someone is not quiet or quiet.
Everyone who is not generous or happy is old.
If someone is generous then susan is not quiet or creative.
Everyone who is curious is either curious or not curious.
Everyone who is old is both not calm and funny and vice versa.
If lucy is both n... | Lucy is humble. | entailment | ((?[X]:((~old(X)<~>patient(X))))=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((~generous(X)|happy(X))=>old(X)))&
((?[X]:(generous(X)))=>((~quiet(susan)|creative(susan))))&
(![X]:(curious(X)=>(curious(X)<~>~curious(X))))&
(![X]:(old(X)<=>(~calm(X)&funny(X))))&
(((~funny(lucy)&~creative(lucy)))<=>(?[X]:((~humble(X)|~kind(X)))... | humble(lucy) | [
"p1",
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6757028768936356775475127
% SZS output start Proof for 6757028768936356775475127
2. ! [X0] : ((happy(X0) | ~generous(X0)) => old(X0)) [input p1]
5. ! [X0] : (old(X0) <=> (funny(X0) & ~calm(X0))) [input p4]
6. (~creative(lucy) & ~funny(lucy)) <=> ? [X0] : (~kind(X0) | ~humble(X0)) [input p... | 0 |
Everyone who is either quiet or not brave is not old or not generous and vice versa.
If someone is both strong and not funny then someone is kind or not quiet and vice versa.
If mary is not calm or brave then someone is both humble and brave and vice versa.
Everyone who is both not funny and wise is both not generous a... | Susan is rich. | neutral | (![X]:((quiet(X)<~>~brave(X))<=>(~old(X)|~generous(X))))&
((?[X]:((strong(X)&~funny(X))))<=>(?[X]:((kind(X)|~quiet(X)))))&
(((~calm(mary)|brave(mary)))<=>(?[X]:((humble(X)&brave(X)))))&
(![X]:((~funny(X)&wise(X))=>(~generous(X)&~strong(X))))&
(((creative(alice)<~>funny(alice)))<=>(?[X]:((~curious(X)&wise(X)))))&
(((~qu... | rich(susan) | [] | null | 0 |
If john is both not generous and curious then john is not tall and vice versa. Everyone who is rich is either not funny or not calm. If paul is both calm and kind then someone is not strong. If someone is either not wise or not humble then someone is either tall or brave. Everyone who is both not curious and not funny ... | John is not funny. | entailment | (((~generous(john)&curious(john)))<=>(~tall(john)))&
(![X]:(rich(X)=>(~funny(X)<~>~calm(X))))&
(((calm(paul)&kind(paul)))=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:((tall(X)<~>brave(X)))))&
(![X]:((~curious(X)&~funny(X))=>(curious(X)|~curious(X))))&
(![X]:((~kind(X)<~>strong(X))=>(generous(X)<~>~w... | ~funny(john) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 637119105078889813943429
% SZS output start Proof for 637119105078889813943429
2. ! [X0] : (rich(X0) => (~funny(X0) <~> ~calm(X0))) [input p1]
9. ! [X0] : ((funny(X0) | ~old(X0)) <=> (calm(X0) & rich(X0))) [input p8]
21. funny(john) [input hypothesis]
25. ! [X0] : ((~funny(X0) <~> ~calm(X... | 0 |
If someone is both creative and patient then someone is calm and vice versa.
If mary is not generous or not quiet then paul is both creative and brave.
Everyone who is both generous and not wise is old or creative and vice versa.
Everyone who is either not patient or quiet is tall or not curious and vice versa.
If some... | Fred is patient. | contradiction | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:(calm(X))))&
(((~generous(mary)|~quiet(mary)))=>((creative(paul)&brave(paul))))&
(![X]:((generous(X)&~wise(X))<=>(old(X)|creative(X))))&
(![X]:((~patient(X)<~>quiet(X))<=>(tall(X)|~curious(X))))&
((?[X]:((strong(X)&wise(X))))=>((~old(alice)&humble(alice))))&
(![X]:((humble(X)|... | patient(fred) | [
"p2",
"p3",
"p6",
"p9",
"p11",
"p14",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3990767769567809513607220
% SZS output start Proof for 3990767769567809513607220
3. ! [X0] : ((~wise(X0) & generous(X0)) <=> (creative(X0) | old(X0))) [input p2]
4. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (~curious(X0) | tall(X0))) [input p3]
7. ! [X0] : (~quiet(X0) <=> ~humble(X0)) [i... | 0 |
If someone is old then lucy is either calm or humble and vice versa.
Everyone who is either not curious or quiet is old and vice versa.
Everyone who is not curious or kind is not wise or not creative and vice versa.
Everyone who is not patient is not wise and vice versa.
Everyone who is either not tall or strong is tal... | Mary is funny. | entailment | ((?[X]:(old(X)))<=>((calm(lucy)<~>humble(lucy))))&
(![X]:((~curious(X)<~>quiet(X))<=>old(X)))&
(![X]:((~curious(X)|kind(X))<=>(~wise(X)|~creative(X))))&
(![X]:(~patient(X)<=>~wise(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(tall(X)|~patient(X))))&
(![X]:(happy(X)<=>(~humble(X)&humble(X))))&
(![X]:(strong(X)=>(patient(X)|~ha... | funny(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2739449920757376517565181
% SZS output start Proof for 2739449920757376517565181
15. ! [X0] : ((funny(X0) & brave(X0)) <=> (~funny(X0) | ~strong(X0))) [input p14]
24. ~funny(mary) [input hypothesis]
63. ! [X0] : (((funny(X0) & brave(X0)) | (funny(X0) & strong(X0))) & ((~funny(X0) | ~stron... | 0 |
Everyone who is not brave is both quiet and not rich. If susan is not patient or not generous then mary is both not brave and creative. If susan is strong then someone is either old or rich and vice versa. If someone is brave or kind then mary is either patient or calm and vice versa. If someone is happy then paul is e... | Susan is strong. | neutral | (![X]:(~brave(X)=>(quiet(X)&~rich(X))))&
(((~patient(susan)|~generous(susan)))=>((~brave(mary)&creative(mary))))&
((strong(susan))<=>(?[X]:((old(X)<~>rich(X)))))&
((?[X]:((brave(X)|kind(X))))<=>((patient(mary)<~>calm(mary))))&
((?[X]:(happy(X)))<=>((humble(paul)<~>~happy(paul))))&
(![X]:(old(X)=>(~happy(X)|generous(X))... | strong(susan) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If susan is both creative and kind then someone is not patient.
Everyone who is both not humble and not happy is kind or generous and vice versa.
Everyone who is not rich is not curious or not rich.
Everyone who is both not wise and calm... | Mary is not rich. | neutral | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(~patient(X))))&
(![X]:((~humble(X)&~happy(X))<=>(kind(X)|generous(X))))&
(![X]:(~rich(X)=>(~curious(X)|~rich(X))))&
(![X]:((~wise(X)&calm(X))<=>(~tall(X)|quiet(X))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>old(X))))&
((?[X]:((~... | ~rich(mary) | [] | null | 0 |
Everyone who is either not funny or funny is both not kind and not wise.
Everyone who is either quiet or creative is rich or not happy.
If someone is either creative or not wise then paul is both kind and creative and vice versa.
Everyone who is kind or not tall is both not strong and not wise.
If someone is either cal... | John is patient. | contradiction | (![X]:((~funny(X)<~>funny(X))=>(~kind(X)&~wise(X))))&
(![X]:((quiet(X)<~>creative(X))=>(rich(X)|~happy(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>((kind(paul)&creative(paul))))&
(![X]:((kind(X)|~tall(X))=>(~strong(X)&~wise(X))))&
((?[X]:((calm(X)<~>~strong(X))))=>(?[X]:((~rich(X)|~brave(X)))))&
(![X]:((~patient(X)&~ta... | patient(john) | [
"p0",
"p2",
"p7",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5195558696864504710662895
% SZS output start Proof for 5195558696864504710662895
1. ! [X0] : ((~funny(X0) <~> funny(X0)) => (~wise(X0) & ~kind(X0))) [input p0]
3. ? [X0] : (creative(X0) <~> ~wise(X0)) <=> (creative(paul) & kind(paul)) [input p2]
8. ! [X0] : ((brave(X0) <~> calm(X0)) <=> (... | 0 |
If paul is both curious and happy then someone is both creative and calm. If someone is calm or not brave then someone is rich and vice versa. Everyone who is both generous and curious is not creative and vice versa. If mary is both brave and strong then alice is both calm and not humble. Everyone who is not humble is ... | Mary is wise. | contradiction | (((curious(paul)&happy(paul)))=>(?[X]:((creative(X)&calm(X)))))&
((?[X]:((calm(X)|~brave(X))))<=>(?[X]:(rich(X))))&
(![X]:((generous(X)&curious(X))<=>~creative(X)))&
(((brave(mary)&strong(mary)))=>((calm(alice)&~humble(alice))))&
(![X]:(~humble(X)<=>(strong(X)<~>calm(X))))&
(![X]:(~wise(X)<=>(calm(X)|~funny(X))))&
(((r... | wise(mary) | [
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1509958770391988872326101
% SZS output start Proof for 1509958770391988872326101
6. ! [X0] : (~wise(X0) <=> (~funny(X0) | calm(X0))) [input p5]
15. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (~funny(X0) & ~brave(X0))) [input p14]
16. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (calm(X0) <~> fu... | 0 |
Everyone who is humble or quiet is both not calm and funny and vice versa.
Everyone who is strong is either not creative or happy.
If fred is both patient and funny then someone is either tall or strong and vice versa.
If someone is both calm and happy then mary is both wise and generous and vice versa.
If paul is not ... | Mary is kind. | neutral | (![X]:((humble(X)|quiet(X))<=>(~calm(X)&funny(X))))&
(![X]:(strong(X)=>(~creative(X)<~>happy(X))))&
(((patient(fred)&funny(fred)))<=>(?[X]:((tall(X)<~>strong(X)))))&
((?[X]:((calm(X)&happy(X))))<=>((wise(mary)&generous(mary))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(~rich(X)<=>tall(X)))&... | kind(mary) | [] | null | 0 |
Everyone who is happy is wise or not strong and vice versa.
Everyone who is not patient is either calm or strong.
Everyone who is either not rich or not funny is both funny and not generous.
If someone is old then john is both not funny and not quiet.
If someone is rich or not curious then someone is both quiet and not... | John is happy. | neutral | (![X]:(happy(X)<=>(wise(X)|~strong(X))))&
(![X]:(~patient(X)=>(calm(X)<~>strong(X))))&
(![X]:((~rich(X)<~>~funny(X))=>(funny(X)&~generous(X))))&
((?[X]:(old(X)))=>((~funny(john)&~quiet(john))))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((quiet(X)&~curious(X)))))&
((?[X]:((patient(X)|~creative(X))))=>((~wise(fred)&~brave(... | happy(john) | [] | null | 0 |
If someone is curious or not wise then paul is wise.
Everyone who is generous or humble is either quiet or not tall.
Everyone who is strong is not patient and vice versa.
Everyone who is both not wise and funny is either not generous or not patient and vice versa.
Everyone who is humble is both rich and not old and vic... | Alice is funny. | entailment | ((?[X]:((curious(X)|~wise(X))))=>(wise(paul)))&
(![X]:((generous(X)|humble(X))=>(quiet(X)<~>~tall(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:((~wise(X)&funny(X))<=>(~generous(X)<~>~patient(X))))&
(![X]:(humble(X)<=>(rich(X)&~old(X))))&
(![X]:((~generous(X)&~creative(X))<=>(~tall(X)<~>quiet(X))))&
(![X]:(happy(X)=>~... | funny(alice) | [
"p1",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 802157213728076131644745
% SZS output start Proof for 802157213728076131644745
2. ! [X0] : ((humble(X0) | generous(X0)) => (quiet(X0) <~> ~tall(X0))) [input p1]
6. ! [X0] : ((~creative(X0) & ~generous(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p5]
8. ! [X0] : ((~creative(X0) | curious(X0)... | 0 |
Everyone who is generous or humble is either not strong or not old.
If someone is funny then susan is both not happy and not strong.
Everyone who is quiet or not humble is not quiet.
If alice is not brave or not patient then someone is not curious and vice versa.
If someone is not kind then someone is quiet and vice ve... | John is kind. | entailment | (![X]:((generous(X)|humble(X))=>(~strong(X)<~>~old(X))))&
((?[X]:(funny(X)))=>((~happy(susan)&~strong(susan))))&
(![X]:((quiet(X)|~humble(X))=>~quiet(X)))&
(((~brave(alice)|~patient(alice)))<=>(?[X]:(~curious(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(quiet(X))))&
(((~funny(paul)&~wise(paul)))<=>((~old(mary)&kind(mary))))&
((?... | kind(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 701347195121003891248025
% SZS output start Proof for 701347195121003891248025
3. ! [X0] : ((~humble(X0) | quiet(X0)) => ~quiet(X0)) [input p2]
5. ? [X0] : ~kind(X0) <=> ? [X0] : quiet(X0) [input p4]
22. ~kind(john) [input hypothesis]
23. ? [X0] : ~kind(X0) <=> ? [X1] : quiet(X1) [rectify... | 0 |
If someone is either brave or not calm then someone is either not patient or rich. If mary is quiet or strong then someone is both not rich and quiet and vice versa. If alice is strong then mary is either tall or humble. If someone is either funny or not old then alice is quiet or strong. Everyone who is not brave is b... | John is creative. | contradiction | ((?[X]:((brave(X)<~>~calm(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
(((quiet(mary)|strong(mary)))<=>(?[X]:((~rich(X)&quiet(X)))))&
((strong(alice))=>((tall(mary)<~>humble(mary))))&
((?[X]:((funny(X)<~>~old(X))))=>((quiet(alice)|strong(alice))))&
(![X]:(~brave(X)=>(happy(X)&~calm(X))))&
(![X]:((~brave(X)<~>calm(X))=>(~o... | creative(john) | [
"p4",
"p5",
"p8",
"p9",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6645253202610352378209055
% SZS output start Proof for 6645253202610352378209055
5. ! [X0] : (~brave(X0) => (~calm(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~brave(X0) <~> calm(X0)) => (~generous(X0) & ~old(X0))) [input p5]
9. ! [X0] : (humble(X0) <=> (quiet(X0) & ~tall(X0))) [input p8]
... | 0 |
Everyone who is not calm or tall is both rich and wise. If susan is patient or not rich then someone is funny or not kind and vice versa. If fred is both not tall and not calm then someone is not brave or not quiet and vice versa. Everyone who is tall is either kind or strong and vice versa. Everyone who is either wise... | Susan is not wise. | contradiction | (![X]:((~calm(X)|tall(X))=>(rich(X)&wise(X))))&
(((patient(susan)|~rich(susan)))<=>(?[X]:((funny(X)|~kind(X)))))&
(((~tall(fred)&~calm(fred)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:(tall(X)<=>(kind(X)<~>strong(X))))&
(![X]:((wise(X)<~>~old(X))=>(old(X)&~strong(X))))&
(((happy(lucy)&humble(lucy)))=>(?[X]:((~old(X)<~>... | ~wise(susan) | [
"p0",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7414369311530986201220842
% SZS output start Proof for 7414369311530986201220842
1. ! [X0] : ((tall(X0) | ~calm(X0)) => (wise(X0) & rich(X0))) [input p0]
20. tall(susan) [input p19]
25. ~wise(susan) [input hypothesis]
27. ! [X0] : ((wise(X0) & rich(X0)) | (~tall(X0) & calm(X0))) [ennf tra... | 0 |
If someone is both creative and not wise then susan is both quiet and patient. If someone is kind then fred is not humble and vice versa. Everyone who is either not strong or old is both not humble and not patient. If someone is creative then john is curious or funny. Everyone who is both kind and calm is both creative... | Alice is not humble. | entailment | ((?[X]:((creative(X)&~wise(X))))=>((quiet(susan)&patient(susan))))&
((?[X]:(kind(X)))<=>(~humble(fred)))&
(![X]:((~strong(X)<~>old(X))=>(~humble(X)&~patient(X))))&
((?[X]:(creative(X)))=>((curious(john)|funny(john))))&
(![X]:((kind(X)&calm(X))<=>(creative(X)&happy(X))))&
(((kind(lucy)<~>~patient(lucy)))<=>(?[X]:(~creat... | ~humble(alice) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5145216395314112564805056
% SZS output start Proof for 5145216395314112564805056
9. ! [X0] : ((~tall(X0) | ~old(X0)) => (kind(X0) & ~humble(X0))) [input p8]
23. brave(alice) & ~old(alice) [input p22]
25. humble(alice) [input hypothesis]
34. ! [X0] : ((kind(X0) & ~humble(X0)) | (tall(X0) &... | 0 |
If someone is curious then someone is not quiet or quiet and vice versa.
Everyone who is either patient or not rich is wise or not curious and vice versa.
If mary is either not kind or kind then someone is humble or calm and vice versa.
Everyone who is both not quiet and not generous is not funny or creative and vice v... | John is not creative. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((patient(X)<~>~rich(X))<=>(wise(X)|~curious(X))))&
(((~kind(mary)<~>kind(mary)))<=>(?[X]:((humble(X)|calm(X)))))&
(![X]:((~quiet(X)&~generous(X))<=>(~funny(X)|creative(X))))&
((?[X]:(~patient(X)))=>((tall(lucy)|kind(lucy))))&
(![X]:((~creative(X)|~kind(X))=>... | ~creative(john) | [] | null | 0 |
If paul is either not calm or not creative then someone is patient and vice versa.
Everyone who is both strong and happy is not creative or funny and vice versa.
Everyone who is both generous and humble is both not happy and not kind.
If mary is both kind and not brave then lucy is both kind and not calm and vice versa... | Fred is not strong. | entailment | (((~calm(paul)<~>~creative(paul)))<=>(?[X]:(patient(X))))&
(![X]:((strong(X)&happy(X))<=>(~creative(X)|funny(X))))&
(![X]:((generous(X)&humble(X))=>(~happy(X)&~kind(X))))&
(((kind(mary)&~brave(mary)))<=>((kind(lucy)&~calm(lucy))))&
(((happy(john)<~>quiet(john)))<=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:(kind(X)<=>(~... | ~strong(fred) | [
"p1",
"p2",
"p5",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8415451926835211267905436
% SZS output start Proof for 8415451926835211267905436
2. ! [X0] : ((happy(X0) & strong(X0)) <=> (funny(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((humble(X0) & generous(X0)) => (~kind(X0) & ~happy(X0))) [input p2]
6. ! [X0] : (kind(X0) <=> (~generous(X0) | ~b... | 0 |
Everyone who is either kind or not quiet is patient and vice versa.
Everyone who is not creative or humble is not happy or rich.
If lucy is strong or not old then fred is either not brave or strong.
If lucy is both not generous and rich then someone is not wise or happy.
Everyone who is either not strong or not wise is... | Mary is not quiet. | entailment | (![X]:((kind(X)<~>~quiet(X))<=>patient(X)))&
(![X]:((~creative(X)|humble(X))=>(~happy(X)|rich(X))))&
(((strong(lucy)|~old(lucy)))=>((~brave(fred)<~>strong(fred))))&
(((~generous(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:((~strong(X)<~>~wise(X))<=>(~tall(X)&~curious(X))))&
(![X]:((patient(X)|old(X))<=>(ha... | ~quiet(mary) | [
"p0",
"p5",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 76248235682640869376033
% SZS output start Proof for 76248235682640869376033
1. ! [X0] : ((kind(X0) <~> ~quiet(X0)) <=> patient(X0)) [input p0]
6. ! [X0] : ((old(X0) | patient(X0)) <=> (wise(X0) & happy(X0))) [input p5]
12. ! [X0] : ((curious(X0) | generous(X0)) => patient(X0)) [input p11... | 0 |
If lucy is humble then someone is not calm and vice versa.
Everyone who is both humble and not old is strong or not strong and vice versa.
Everyone who is both not brave and old is either curious or not rich.
If someone is not kind or not curious then fred is either not patient or not creative.
Everyone who is both not... | Alice is old. | contradiction | ((humble(lucy))<=>(?[X]:(~calm(X))))&
(![X]:((humble(X)&~old(X))<=>(strong(X)|~strong(X))))&
(![X]:((~brave(X)&old(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~kind(X)|~curious(X))))=>((~patient(fred)<~>~creative(fred))))&
(![X]:((~strong(X)&strong(X))<=>(~tall(X)&~rich(X))))&
((?[X]:((tall(X)|patient(X))))=>(?[X]:((funny... | old(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 528676333889388442452008
% SZS output start Proof for 528676333889388442452008
2. ! [X0] : ((~old(X0) & humble(X0)) <=> (~strong(X0) | strong(X0))) [input p1]
24. old(alice) [input hypothesis]
38. ! [X0] : (((~old(X0) & humble(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | strong(X0... | 0 |
If alice is humble or wise then fred is either not humble or strong. If fred is not brave or curious then someone is not wise. If paul is not tall or not humble then someone is both humble and not strong and vice versa. Everyone who is either rich or funny is brave or humble. If alice is either generous or not old then... | Alice is old. | neutral | (((humble(alice)|wise(alice)))=>((~humble(fred)<~>strong(fred))))&
(((~brave(fred)|curious(fred)))=>(?[X]:(~wise(X))))&
(((~tall(paul)|~humble(paul)))<=>(?[X]:((humble(X)&~strong(X)))))&
(![X]:((rich(X)<~>funny(X))=>(brave(X)|humble(X))))&
(((generous(alice)<~>~old(alice)))=>((~creative(mary)<~>kind(mary))))&
((?[X]:((... | old(alice) | [] | null | 0 |
If mary is funny or not rich then someone is not strong.
Everyone who is both patient and not curious is either not humble or tall.
If susan is both not old and not strong then someone is not brave or not patient and vice versa.
If alice is both patient and not patient then someone is tall or creative and vice versa.
E... | Mary is wise. | neutral | (((funny(mary)|~rich(mary)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~humble(X)<~>tall(X))))&
(((~old(susan)&~strong(susan)))<=>(?[X]:((~brave(X)|~patient(X)))))&
(((patient(alice)&~patient(alice)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((~rich(X)|~calm(X))=>rich(X)))&
(![X]:((wise(X)<~>kind(X))<=>(... | wise(mary) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and humble is not creative or generous.
Everyone who is... | Mary is wise. | entailment | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&humble(X))=>(~creative(X)|generous(X))))&
(![X]:(tall(X)<=>~humble(X)))&
(![X]:(generous(X)<=>(wise(X)<~>happy(X))))&
(![X]:(... | wise(mary) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 130216218051524231071047
% SZS output start Proof for 130216218051524231071047
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
6. ! [X0] : (... | 0 |
Everyone who is both rich and not creative is not quiet or not old and vice versa.
If susan is both happy and not kind then lucy is patient or rich and vice versa.
Everyone who is not tall or not quiet is both not kind and old.
Everyone who is both patient and wise is curious.
Everyone who is either not creative or not... | Paul is funny. | entailment | (![X]:((rich(X)&~creative(X))<=>(~quiet(X)|~old(X))))&
(((happy(susan)&~kind(susan)))<=>((patient(lucy)|rich(lucy))))&
(![X]:((~tall(X)|~quiet(X))=>(~kind(X)&old(X))))&
(![X]:((patient(X)&wise(X))=>curious(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>~strong(X)))&
(![X]:((happy(X)<~>funny(X))=>~generous(X)))&
(![X]:((~humb... | funny(paul) | [
"p10",
"p11",
"p14",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4557433226909852092639673
% SZS output start Proof for 4557433226909852092639673
11. ! [X0] : (~funny(X0) <=> tall(X0)) [input p10]
12. (~tall(paul) | patient(paul)) <=> ? [X0] : (~wise(X0) | humble(X0)) [input p11]
15. ! [X0] : ((~humble(X0) | kind(X0)) => funny(X0)) [input p14]
18. ~pat... | 0 |
Everyone who is not rich or wise is both calm and rich and vice versa.
Everyone who is not happy or quiet is both kind and not kind.
If someone is calm or creative then someone is both calm and happy and vice versa.
Everyone who is not happy is quiet and vice versa.
Everyone who is generous is not calm or quiet and vic... | John is quiet. | contradiction | (![X]:((~rich(X)|wise(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(kind(X)&~kind(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(~happy(X)<=>quiet(X)))&
(![X]:(generous(X)<=>(~calm(X)|quiet(X))))&
((?[X]:((humble(X)|~humble(X))))<=>((tall(lucy)|~creative(lucy))))&
(![X]:((~funn... | quiet(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6780818795720428093834398
% SZS output start Proof for 6780818795720428093834398
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~kind(X0) & kind(X0))) [input p1]
25. quiet(john) [input hypothesis]
27. ! [X0] : ((~kind(X0) & kind(X0)) | (~quiet(X0) & happy(X0))) [ennf transformation 2]
77. kind... | 0 |
Everyone who is both humble and curious is both not happy and funny.
If mary is both not creative and not generous then someone is calm or not strong.
Everyone who is either not tall or wise is either calm or not quiet and vice versa.
Everyone who is either wise or patient is both not old and not humble and vice versa.... | Lucy is not calm. | contradiction | (![X]:((humble(X)&curious(X))=>(~happy(X)&funny(X))))&
(((~creative(mary)&~generous(mary)))=>(?[X]:((calm(X)|~strong(X)))))&
(![X]:((~tall(X)<~>wise(X))<=>(calm(X)<~>~quiet(X))))&
(![X]:((wise(X)<~>patient(X))<=>(~old(X)&~humble(X))))&
(![X]:(brave(X)=>creative(X)))&
(![X]:(~humble(X)<=>rich(X)))&
(![X]:(~generous(X)<=... | ~calm(lucy) | [
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3906453856749753164815626
% SZS output start Proof for 3906453856749753164815626
6. ! [X0] : (~humble(X0) <=> rich(X0)) [input p5]
13. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p12]
15. ! [X0] : ((~patient(X0) & calm(X0)) <=> (rich(X0) | happy(X0))) [input... | 0 |
If paul is not creative then paul is both not kind and not calm and vice versa. If someone is either wise or not creative then someone is curious or not wise. If someone is not calm or old then alice is brave and vice versa. If someone is both old and not happy then someone is both creative and not strong and vice vers... | Susan is funny. | contradiction | ((~creative(paul))<=>((~kind(paul)&~calm(paul))))&
((?[X]:((wise(X)<~>~creative(X))))=>(?[X]:((curious(X)|~wise(X)))))&
((?[X]:((~calm(X)|old(X))))<=>(brave(alice)))&
((?[X]:((old(X)&~happy(X))))<=>(?[X]:((creative(X)&~strong(X)))))&
(((~patient(lucy)|quiet(lucy)))<=>((rich(alice)|humble(alice))))&
(![X]:((~happy(X)|cu... | funny(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7486191947604988887918492
% SZS output start Proof for 7486191947604988887918492
23. ~creative(susan) & ~funny(susan) [input p22]
24. funny(susan) [input hypothesis]
144. ~funny(susan) [cnf transformation 23]
146. funny(susan) [cnf transformation 24]
264. 27 <=> funny(susan) [avatar defin... | 0 |
Everyone who is not kind or funny is both not wise and tall.
If paul is either not strong or not quiet then someone is either not kind or quiet.
If someone is not calm then someone is curious or quiet.
If lucy is both rich and not creative then someone is calm.
Everyone who is kind or not creative is both strong and no... | Mary is kind. | entailment | (![X]:((~kind(X)|funny(X))=>(~wise(X)&tall(X))))&
(((~strong(paul)<~>~quiet(paul)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((curious(X)|quiet(X)))))&
(((rich(lucy)&~creative(lucy)))=>(?[X]:(calm(X))))&
(![X]:((kind(X)|~creative(X))<=>(strong(X)&~funny(X))))&
((?[X]:((humble(X)<~>~rich(X))))<=>(?[X]... | kind(mary) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7301507311893247847358360
% SZS output start Proof for 7301507311893247847358360
1. ! [X0] : ((funny(X0) | ~kind(X0)) => (tall(X0) & ~wise(X0))) [input p0]
9. ! [X0] : ((~calm(X0) | tall(X0)) => wise(X0)) [input p8]
23. ~kind(mary) [input hypothesis]
31. ! [X0] : (tall(X0) => wise(X0)) [p... | 0 |
If someone is either not patient or funny then fred is not curious. If someone is either wise or brave then john is not brave. If someone is both creative and patient then someone is either patient or not quiet. Everyone who is both not quiet and wise is tall or old and vice versa. If someone is not quiet then someone ... | Alice is strong. | entailment | ((?[X]:((~patient(X)<~>funny(X))))=>(~curious(fred)))&
((?[X]:((wise(X)<~>brave(X))))=>(~brave(john)))&
((?[X]:((creative(X)&patient(X))))=>(?[X]:((patient(X)<~>~quiet(X)))))&
(![X]:((~quiet(X)&wise(X))<=>(tall(X)|old(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((rich(X)&~patient(X)))))&
((?[X]:(~funny(X)))=>(rich(paul)))&
((?[X... | strong(alice) | [
"p3",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5845981918803094574687129
% SZS output start Proof for 5845981918803094574687129
4. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> (old(X0) | tall(X0))) [input p3]
7. ? [X0] : (generous(X0) | rich(X0)) <=> (~brave(alice) & old(alice)) [input p6]
8. ! [X0] : ((~strong(X0) | ~quiet(X0)) => (~generou... | 0 |
If someone is not wise then john is both not creative and patient.
If someone is not old then alice is both kind and not generous and vice versa.
If alice is humble or rich then someone is not rich.
If someone is not calm or tall then someone is both not curious and old and vice versa.
Everyone who is either tall or br... | Alice is quiet. | neutral | ((?[X]:(~wise(X)))=>((~creative(john)&patient(john))))&
((?[X]:(~old(X)))<=>((kind(alice)&~generous(alice))))&
(((humble(alice)|rich(alice)))=>(?[X]:(~rich(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(... | quiet(alice) | [] | null | 0 |
Everyone who is not patient or not funny is strong. If john is both not strong and not tall then alice is not old. Everyone who is both old and generous is both not quiet and not brave and vice versa. Everyone who is not patient is both kind and not funny and vice versa. Everyone who is not brave or not strong is old. ... | Fred is not tall. | neutral | (![X]:((~patient(X)|~funny(X))=>strong(X)))&
(((~strong(john)&~tall(john)))=>(~old(alice)))&
(![X]:((old(X)&generous(X))<=>(~quiet(X)&~brave(X))))&
(![X]:(~patient(X)<=>(kind(X)&~funny(X))))&
(![X]:((~brave(X)|~strong(X))=>old(X)))&
((?[X]:(~happy(X)))<=>((funny(lucy)|~generous(lucy))))&
(![X]:((quiet(X)&~wise(X))<=>(~... | ~tall(fred) | [] | null | 0 |
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