premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not creative or generous then susan is both tall and happy.
Everyone who is creative is either quiet or not tall.
If alice is both not strong and not old then someone is calm or tall and vice versa.
Everyone who is rich is either funny or strong.
If alice is both quiet and not calm then someone is ... | Susan is not generous. | neutral | ((?[X]:((~creative(X)<~>generous(X))))=>((tall(susan)&happy(susan))))&
(![X]:(creative(X)=>(quiet(X)<~>~tall(X))))&
(((~strong(alice)&~old(alice)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((quiet(alice)&~calm(alice)))<=>(?[X]:((rich(X)|calm(X)))))&
(![X]:((patient(X)&~tall(X))<=>(creat... | ~generous(susan) | [] | null | 0 |
If someone is not humble or not creative then someone is both curious and not old.
Everyone who is either not rich or not quiet is either calm or not old and vice versa.
If someone is either generous or not curious then fred is patient or tall and vice versa.
If fred is either humble or old then someone is quiet or not... | Mary is not strong. | entailment | ((?[X]:((~humble(X)|~creative(X))))=>(?[X]:((curious(X)&~old(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((generous(X)<~>~curious(X))))<=>((patient(fred)|tall(fred))))&
(((humble(fred)<~>old(fred)))<=>(?[X]:((quiet(X)|~patient(X)))))&
(![X]:((brave(X)<~>kind(X))<=>(quiet(X)|curious(X))))&
(![X... | ~strong(mary) | [
"p4",
"p5",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3901016900453727265142285
% SZS output start Proof for 3901016900453727265142285
5. ! [X0] : ((brave(X0) <~> kind(X0)) <=> (curious(X0) | quiet(X0))) [input p4]
6. ! [X0] : (old(X0) => ~strong(X0)) [input p5]
8. ! [X0] : ((tall(X0) | ~curious(X0)) <=> (~strong(X0) | ~brave(X0))) [input p7... | 0 |
Everyone who is both tall and not curious is rich and vice versa.
Everyone who is curious is both old and not brave and vice versa.
If fred is either not brave or wise then someone is either not brave or not old.
If someone is either not calm or not patient then alice is both not old and calm and vice versa.
If someone... | Alice is not tall. | contradiction | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(old(X)&~brave(X))))&
(((~brave(fred)<~>wise(fred)))=>(?[X]:((~brave(X)<~>~old(X)))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>((~old(alice)&calm(alice))))&
((?[X]:((curious(X)|~humble(X))))=>(?[X]:(calm(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>~generous(X))))&... | ~tall(alice) | [
"p0",
"p1",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3492682807355841699814426
% SZS output start Proof for 3492682807355841699814426
1. ! [X0] : ((~curious(X0) & tall(X0)) <=> rich(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> (~brave(X0) & old(X0))) [input p1]
13. ? [X0] : (kind(X0) | ~rich(X0)) <=> curious(lucy) [input p12]
21. ~curious(l... | 0 |
Everyone who is not rich is both brave and not kind.
Everyone who is both not generous and wise is calm and vice versa.
Everyone who is either not calm or not tall is either humble or brave and vice versa.
Everyone who is either not rich or not generous is both not old and not rich.
If someone is either not quiet or no... | Paul is funny. | entailment | (![X]:(~rich(X)=>(brave(X)&~kind(X))))&
(![X]:((~generous(X)&wise(X))<=>calm(X)))&
(![X]:((~calm(X)<~>~tall(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~old(X)&~rich(X))))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(?[X]:((~calm(X)&~funny(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>~funny(X)))&
(![X]:(brav... | funny(paul) | [
"p0",
"p5",
"p6",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 729900441718790754356349
% SZS output start Proof for 729900441718790754356349
1. ! [X0] : (~rich(X0) => (~kind(X0) & brave(X0))) [input p0]
6. ! [X0] : ((brave(X0) <~> ~rich(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : (brave(X0) <=> (creative(X0) <~> rich(X0))) [input p6]
9. ! [X0] : ((~... | 0 |
Everyone who is humble or generous is creative.
If someone is not quiet then john is not tall or quiet and vice versa.
Everyone who is either not old or rich is not tall and vice versa.
Everyone who is either humble or not rich is not strong or quiet and vice versa.
Everyone who is not calm or not creative is not tall.... | Susan is quiet. | contradiction | (![X]:((humble(X)|generous(X))=>creative(X)))&
((?[X]:(~quiet(X)))<=>((~tall(john)|quiet(john))))&
(![X]:((~old(X)<~>rich(X))<=>~tall(X)))&
(![X]:((humble(X)<~>~rich(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~calm(X)|~creative(X))=>~tall(X)))&
(![X]:(wise(X)=>(~strong(X)<~>calm(X))))&
(![X]:((~brave(X)|creative(X))=>(humb... | quiet(susan) | [
"p4",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 130605905885212898142046
% SZS output start Proof for 130605905885212898142046
5. ! [X0] : ((~creative(X0) | ~calm(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~brave(X0)) => (humble(X0) <~> ~creative(X0))) [input p6]
10. ? [X0] : quiet(X0) => tall(lucy) [input p9]
12. ! [X0... | 0 |
If paul is both brave and not tall then someone is both creative and not creative and vice versa.
Everyone who is quiet or calm is either not humble or calm and vice versa.
If someone is curious or not strong then paul is not quiet.
If someone is both creative and not wise then someone is old or not kind and vice versa... | John is not strong. | contradiction | (((brave(paul)&~tall(paul)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((quiet(X)|calm(X))<=>(~humble(X)<~>calm(X))))&
((?[X]:((curious(X)|~strong(X))))=>(~quiet(paul)))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((old(X)|~kind(X)))))&
((?[X]:(creative(X)))=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~brave(X)<~>~... | ~strong(john) | [
"p1",
"p2",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7786670203942669725201644
% SZS output start Proof for 7786670203942669725201644
2. ! [X0] : ((calm(X0) | quiet(X0)) <=> (~humble(X0) <~> calm(X0))) [input p1]
3. ? [X0] : (~strong(X0) | curious(X0)) => ~quiet(paul) [input p2]
4. ? [X0] : (~wise(X0) & creative(X0)) <=> ? [X0] : (~kind(X0)... | 0 |
If someone is both funny and strong then someone is both creative and not tall and vice versa.
If someone is not strong then john is creative and vice versa.
If paul is tall or not patient then someone is tall or not humble.
Everyone who is both humble and not wise is either creative or humble and vice versa.
If someon... | Paul is brave. | neutral | ((?[X]:((funny(X)&strong(X))))<=>(?[X]:((creative(X)&~tall(X)))))&
((?[X]:(~strong(X)))<=>(creative(john)))&
(((tall(paul)|~patient(paul)))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((humble(X)&~wise(X))<=>(creative(X)<~>humble(X))))&
((?[X]:((~funny(X)|funny(X))))=>((brave(susan)<~>creative(susan))))&
(((~quiet(paul)<~>q... | brave(paul) | [] | null | 0 |
If susan is not wise or strong then someone is kind or not rich and vice versa. If someone is not curious or strong then fred is curious or not funny and vice versa. If someone is quiet or not calm then fred is both curious and not quiet and vice versa. If alice is either not calm or not quiet then fred is not quiet or... | Susan is not happy. | neutral | (((~wise(susan)|strong(susan)))<=>(?[X]:((kind(X)|~rich(X)))))&
((?[X]:((~curious(X)|strong(X))))<=>((curious(fred)|~funny(fred))))&
((?[X]:((quiet(X)|~calm(X))))<=>((curious(fred)&~quiet(fred))))&
(((~calm(alice)<~>~quiet(alice)))=>((~quiet(fred)|happy(fred))))&
(![X]:((curious(X)&~strong(X))=>(~wise(X)&~happy(X))))&
... | ~happy(susan) | [] | null | 0 |
If someone is not kind then someone is not happy or calm.
Everyone who is either not generous or not tall is either quiet or not patient.
Everyone who is both not calm and not rich is quiet.
If paul is tall then someone is either not creative or not happy and vice versa.
Everyone who is not funny is either not funny or... | Lucy is funny. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((~generous(X)<~>~tall(X))=>(quiet(X)<~>~patient(X))))&
(![X]:((~calm(X)&~rich(X))=>quiet(X)))&
((tall(paul))<=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:(~funny(X)<=>(~funny(X)<~>~quiet(X))))&
(((quiet(lucy)|wise(lucy)))<=>(?[X]:((~patient(X)<~>~old(X)))))&
((... | funny(lucy) | [] | null | 0 |
Everyone who is either not generous or funny is both not quiet and not creative and vice versa.
Everyone who is rich or not funny is either creative or not funny.
Everyone who is curious is tall and vice versa.
If someone is either calm or not strong then fred is not creative or curious and vice versa.
Everyone who is ... | Paul is not strong. | contradiction | (![X]:((~generous(X)<~>funny(X))<=>(~quiet(X)&~creative(X))))&
(![X]:((rich(X)|~funny(X))=>(creative(X)<~>~funny(X))))&
(![X]:(curious(X)<=>tall(X)))&
((?[X]:((calm(X)<~>~strong(X))))<=>((~creative(fred)|curious(fred))))&
(![X]:((creative(X)<~>quiet(X))<=>(~patient(X)|~rich(X))))&
((?[X]:((old(X)&quiet(X))))=>(?[X]:((t... | ~strong(paul) | [
"p7",
"p8",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5962562502797120564634536
% SZS output start Proof for 5962562502797120564634536
8. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> kind(X0)) [input p7]
9. (~generous(alice) | creative(alice)) => ~rich(paul) [input p8]
12. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (creative(X0) & ~patient(X0))) [input p... | 0 |
Everyone who is either not curious or not calm is either not funny or tall and vice versa.
Everyone who is happy is either not creative or generous and vice versa.
Everyone who is both not creative and not generous is curious.
If someone is both not funny and quiet then someone is both funny and creative and vice versa... | Mary is generous. | entailment | (![X]:((~curious(X)<~>~calm(X))<=>(~funny(X)<~>tall(X))))&
(![X]:(happy(X)<=>(~creative(X)<~>generous(X))))&
(![X]:((~creative(X)&~generous(X))=>curious(X)))&
((?[X]:((~funny(X)&quiet(X))))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:(generous(X)=>(~tall(X)<~>quiet(X))))&
(![X]:((kind(X)&~funny(X))<=>(~humble(X)|rich(X))... | generous(mary) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5260175652714357693196293
% SZS output start Proof for 5260175652714357693196293
7. ? [X0] : (~kind(X0) | kind(X0)) <=> (~humble(mary) <~> quiet(mary)) [input p6]
10. ! [X0] : (quiet(X0) <=> (~humble(X0) | generous(X0))) [input p9]
22. ~generous(mary) [input hypothesis]
42. (? [X0] : (~ki... | 0 |
Everyone who is humble is strong or quiet and vice versa. Everyone who is quiet or tall is both creative and not quiet and vice versa. Everyone who is both not happy and not calm is either calm or not creative and vice versa. Everyone who is both rich and not tall is either not curious or wise. Everyone who is either h... | Alice is not creative. | entailment | (![X]:(humble(X)<=>(strong(X)|quiet(X))))&
(![X]:((quiet(X)|tall(X))<=>(creative(X)&~quiet(X))))&
(![X]:((~happy(X)&~calm(X))<=>(calm(X)<~>~creative(X))))&
(![X]:((rich(X)&~tall(X))=>(~curious(X)<~>wise(X))))&
(![X]:((happy(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((humble(X)&creative(X))=>(~quiet(X)|funny(X))))&
(![X]:((... | ~creative(alice) | [
"p0",
"p2",
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3244072955642372224900842
% SZS output start Proof for 3244072955642372224900842
1. ! [X0] : (humble(X0) <=> (quiet(X0) | strong(X0))) [input p0]
3. ! [X0] : ((~calm(X0) & ~happy(X0)) <=> (calm(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> ~humble(X0)) [in... | 0 |
Everyone who is not patient or wise is both old and not rich. Everyone who is not humble or quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. ... | Alice is not wise. | entailment | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(... | ~wise(alice) | [
"p0",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4092647975269796828215365
% SZS output start Proof for 4092647975269796828215365
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (~rich(X0) & old(X0))) [input p0]
12. ! [X0] : ((humble(X0) | brave(X0)) <=> ~old(X0)) [input p11]
16. ! [X0] : (calm(X0) <=> (~brave(X0) | ~humble(X0))) [input p15]
... | 0 |
Everyone who is both wise and not patient is not kind or not brave and vice versa.
If someone is both generous and creative then fred is either not old or not funny.
Everyone who is patient is either strong or generous.
Everyone who is both curious and patient is both wise and patient and vice versa.
Everyone who is br... | Susan is not patient. | entailment | (![X]:((wise(X)&~patient(X))<=>(~kind(X)|~brave(X))))&
((?[X]:((generous(X)&creative(X))))=>((~old(fred)<~>~funny(fred))))&
(![X]:(patient(X)=>(strong(X)<~>generous(X))))&
(![X]:((curious(X)&patient(X))<=>(wise(X)&patient(X))))&
(![X]:(brave(X)=>(old(X)<~>~generous(X))))&
((?[X]:(brave(X)))<=>((generous(susan)&~wise(su... | ~patient(susan) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3450333193935861830397341
% SZS output start Proof for 3450333193935861830397341
1. ! [X0] : ((~patient(X0) & wise(X0)) <=> (~brave(X0) | ~kind(X0))) [input p0]
4. ! [X0] : ((patient(X0) & curious(X0)) <=> (patient(X0) & wise(X0))) [input p3]
5. ! [X0] : (brave(X0) => (old(X0) <~> ~genero... | 0 |
If someone is either humble or not rich then susan is not patient and vice versa.
If someone is not quiet or generous then alice is not happy or wise.
Everyone who is humble is calm.
Everyone who is patient is both strong and old.
If someone is both quiet and not quiet then someone is both wise and not curious and vice... | Susan is not calm. | neutral | ((?[X]:((humble(X)<~>~rich(X))))<=>(~patient(susan)))&
((?[X]:((~quiet(X)|generous(X))))=>((~happy(alice)|wise(alice))))&
(![X]:(humble(X)=>calm(X)))&
(![X]:(patient(X)=>(strong(X)&old(X))))&
((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(susan)<~>patient(susan)))=>(calm(john)))&
((?[X]:((t... | ~calm(susan) | [] | null | 0 |
Everyone who is not strong or not quiet is brave and vice versa.
Everyone who is either humble or not strong is both generous and funny.
Everyone who is either not happy or rich is not generous or happy and vice versa.
Everyone who is both creative and not generous is rich.
If paul is both not strong and quiet then sus... | Paul is not patient. | neutral | (![X]:((~strong(X)|~quiet(X))<=>brave(X)))&
(![X]:((humble(X)<~>~strong(X))=>(generous(X)&funny(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~generous(X)|happy(X))))&
(![X]:((creative(X)&~generous(X))=>rich(X)))&
(((~strong(paul)&quiet(paul)))<=>((brave(susan)|~humble(susan))))&
((?[X]:(quiet(X)))=>(?[X]:(~creative(X))))&
((... | ~patient(paul) | [] | null | 0 |
Everyone who is not brave or funny is either happy or not generous and vice versa. Everyone who is both happy and generous is not tall or not humble and vice versa. If mary is either not wise or quiet then someone is not old or not humble and vice versa. If someone is not brave or happy then someone is not curious and ... | Susan is humble. | entailment | (![X]:((~brave(X)|funny(X))<=>(happy(X)<~>~generous(X))))&
(![X]:((happy(X)&generous(X))<=>(~tall(X)|~humble(X))))&
(((~wise(mary)<~>quiet(mary)))<=>(?[X]:((~old(X)|~humble(X)))))&
((?[X]:((~brave(X)|happy(X))))<=>(?[X]:(~curious(X))))&
(![X]:(rich(X)<=>~generous(X)))&
((?[X]:((~rich(X)|curious(X))))<=>(?[X]:(patient(X... | humble(susan) | [
"p1",
"p4",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 584351251723410670189092
% SZS output start Proof for 584351251723410670189092
2. ! [X0] : ((generous(X0) & happy(X0)) <=> (~humble(X0) | ~tall(X0))) [input p1]
5. ! [X0] : (rich(X0) <=> ~generous(X0)) [input p4]
7. ! [X0] : ((creative(X0) <~> ~patient(X0)) <=> (~kind(X0) | happy(X0))) [i... | 0 |
Everyone who is not old or humble is wise and vice versa. If paul is both creative and not rich then someone is not old and vice versa. Everyone who is either not old or not curious is not funny. If someone is either not wise or not brave then alice is either not patient or not funny and vice versa. Everyone who is not... | Alice is patient. | neutral | (![X]:((~old(X)|humble(X))<=>wise(X)))&
(((creative(paul)&~rich(paul)))<=>(?[X]:(~old(X))))&
(![X]:((~old(X)<~>~curious(X))=>~funny(X)))&
((?[X]:((~wise(X)<~>~brave(X))))<=>((~patient(alice)<~>~funny(alice))))&
(![X]:((~kind(X)|strong(X))<=>(creative(X)&happy(X))))&
(![X]:((patient(X)<~>rich(X))=>(humble(X)&~quiet(X)))... | patient(alice) | [] | null | 0 |
If someone is both not creative and generous then alice is both tall and not old.
Everyone who is rich or wise is not kind and vice versa.
Everyone who is both generous and not old is not patient or happy and vice versa.
Everyone who is both not curious and not rich is both not rich and not calm.
Everyone who is funny ... | Lucy is calm. | neutral | ((?[X]:((~creative(X)&generous(X))))=>((tall(alice)&~old(alice))))&
(![X]:((rich(X)|wise(X))<=>~kind(X)))&
(![X]:((generous(X)&~old(X))<=>(~patient(X)|happy(X))))&
(![X]:((~curious(X)&~rich(X))=>(~rich(X)&~calm(X))))&
(![X]:((funny(X)|old(X))<=>rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((curious(X)<~>~creative(X)))))&
(![X]... | calm(lucy) | [] | null | 0 |
Everyone who is either not calm or creative is strong.
If someone is not calm then mary is both old and generous.
Everyone who is both rich and not curious is tall.
If someone is not curious or not strong then susan is either not tall or quiet.
If someone is either kind or not humble then john is either brave or not ge... | Lucy is patient. | contradiction | (![X]:((~calm(X)<~>creative(X))=>strong(X)))&
((?[X]:(~calm(X)))=>((old(mary)&generous(mary))))&
(![X]:((rich(X)&~curious(X))=>tall(X)))&
((?[X]:((~curious(X)|~strong(X))))=>((~tall(susan)<~>quiet(susan))))&
((?[X]:((kind(X)<~>~humble(X))))<=>((brave(john)<~>~generous(john))))&
((?[X]:((funny(X)|~old(X))))=>(?[X]:((~qu... | patient(lucy) | [
"p6",
"p7",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7327383482700420836341162
% SZS output start Proof for 7327383482700420836341162
7. ! [X0] : ((quiet(X0) | strong(X0)) => (~humble(X0) <~> funny(X0))) [input p6]
8. ! [X0] : ((old(X0) <~> strong(X0)) <=> (~funny(X0) | ~old(X0))) [input p7]
11. ! [X0] : (humble(X0) <=> patient(X0)) [input ... | 0 |
If lucy is happy then alice is either not funny or calm.
Everyone who is either not happy or happy is not funny or quiet.
Everyone who is either curious or not creative is wise or old.
Everyone who is both not happy and not strong is not funny or patient and vice versa.
If alice is either not humble or not wise then lu... | Lucy is not calm. | entailment | ((happy(lucy))=>((~funny(alice)<~>calm(alice))))&
(![X]:((~happy(X)<~>happy(X))=>(~funny(X)|quiet(X))))&
(![X]:((curious(X)<~>~creative(X))=>(wise(X)|old(X))))&
(![X]:((~happy(X)&~strong(X))<=>(~funny(X)|patient(X))))&
(((~humble(alice)<~>~wise(alice)))=>((~tall(lucy)<~>tall(lucy))))&
(![X]:((~strong(X)<~>~rich(X))<=>(... | ~calm(lucy) | [
"p1",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8819756447549409259340490
% SZS output start Proof for 8819756447549409259340490
2. ! [X0] : ((~happy(X0) <~> happy(X0)) => (quiet(X0) | ~funny(X0))) [input p1]
7. ! [X0] : (~quiet(X0) <=> calm(X0)) [input p6]
22. funny(lucy) [input p21]
25. calm(lucy) [input hypothesis]
30. ! [X0] : ((qu... | 0 |
If alice is not calm or tall then someone is both brave and not humble and vice versa.
Everyone who is not humble is not wise.
If someone is strong then susan is humble or happy.
If fred is curious or happy then someone is old and vice versa.
If someone is both not funny and not patient then someone is both curious and... | Lucy is not calm. | contradiction | (((~calm(alice)|tall(alice)))<=>(?[X]:((brave(X)&~humble(X)))))&
(![X]:(~humble(X)=>~wise(X)))&
((?[X]:(strong(X)))=>((humble(susan)|happy(susan))))&
(((curious(fred)|happy(fred)))<=>(?[X]:(old(X))))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:((curious(X)&~wise(X)))))&
(![X]:((patient(X)<~>~humble(X))<=>(tall(X)<~>curio... | ~calm(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5926421896973868536969161
% SZS output start Proof for 5926421896973868536969161
8. ! [X0] : ((~calm(X0) | creative(X0)) <=> (quiet(X0) & ~quiet(X0))) [input p7]
25. ~calm(lucy) [input hypothesis]
60. ! [X0] : (((~calm(X0) | creative(X0)) | (~quiet(X0) | quiet(X0))) & ((quiet(X0) & ~quiet... | 0 |
If someone is generous then fred is brave.
If someone is both not wise and patient then someone is not funny or generous and vice versa.
Everyone who is brave or not brave is not brave and vice versa.
Everyone who is not quiet or not happy is both wise and strong.
Everyone who is not tall or creative is creative or not... | Paul is not tall. | contradiction | ((?[X]:(generous(X)))=>(brave(fred)))&
((?[X]:((~wise(X)&patient(X))))<=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:((brave(X)|~brave(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~happy(X))=>(wise(X)&strong(X))))&
(![X]:((~tall(X)|creative(X))<=>(creative(X)|~patient(X))))&
(![X]:((~rich(X)&quiet(X))=>(~brave(X)<~>~humble(X))))&... | ~tall(paul) | [
"p3",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 20987558170452255128423
% SZS output start Proof for 20987558170452255128423
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (strong(X0) & wise(X0))) [input p3]
8. ! [X0] : (quiet(X0) => (funny(X0) & tall(X0))) [input p7]
15. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (~wise(X0) & ~calm(X0))) [inpu... | 0 |
Everyone who is both not quiet and not happy is either kind or not generous and vice versa.
Everyone who is not brave is not creative and vice versa.
Everyone who is either not calm or happy is brave and vice versa.
If mary is not patient or not creative then someone is both not curious and not humble.
If alice is not ... | Susan is funny. | contradiction | (![X]:((~quiet(X)&~happy(X))<=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~patient(mary)|~creative(mary)))=>(?[X]:((~curious(X)&~humble(X)))))&
(((~brave(alice)|~funny(alice)))=>((~patient(lucy)<~>curious(lucy))))&
(![X]:((creative(X)|funny(X))<=>(humble... | funny(susan) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2298962107005985045129730
% SZS output start Proof for 2298962107005985045129730
11. ? [X0] : ~kind(X0) <=> (~funny(susan) & tall(susan)) [input p10]
17. ~kind(susan) [input p16]
25. funny(susan) [input hypothesis]
57. (? [X0] : ~kind(X0) | (funny(susan) | ~tall(susan))) & ((~funny(susan)... | 0 |
If john is rich or not humble then paul is not humble and vice versa.
Everyone who is either not funny or not tall is either humble or not brave.
If someone is not creative then someone is kind or tall.
Everyone who is happy or not old is funny and vice versa.
Everyone who is not rich is rich.
Everyone who is both not ... | Mary is not calm. | contradiction | (((rich(john)|~humble(john)))<=>(~humble(paul)))&
(![X]:((~funny(X)<~>~tall(X))=>(humble(X)<~>~brave(X))))&
((?[X]:(~creative(X)))=>(?[X]:((kind(X)|tall(X)))))&
(![X]:((happy(X)|~old(X))<=>funny(X)))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X))))&
((?[X]:((~old(X)<~>tall(X))))=>(?[X]:(~qu... | ~calm(mary) | [
"p4",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2079072991616387842917571
% SZS output start Proof for 2079072991616387842917571
5. ! [X0] : (~rich(X0) => rich(X0)) [input p4]
10. ? [X0] : (kind(X0) & happy(X0)) <=> brave(mary) [input p9]
12. ? [X0] : (~humble(X0) | happy(X0)) => (wise(mary) & calm(mary)) [input p11]
15. ! [X0] : (~bra... | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa. Everyone who is both not happy and not creative is both brave and tall and vice versa. Everyone who is not creative or not brave is creative. Everyone who is either not happy or calm is not creative. If alice is both not happy and n... | Lucy is not calm. | contradiction | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
(![X]:((~happy(X)&~creative(X))<=>(brave(X)&tall(X))))&
(![X]:((~creative(X)|~brave(X))=>creative(X)))&
(![X]:((~happy(X)<~>calm(X))=>~creative(X)))&
(((~happy(alice)&~funny(alice)))<=>((~strong(lucy)|quiet(lucy))))&
(![X]:((~curious(X)|quiet(X))=>calm(X... | ~calm(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5203575725573595487615697
% SZS output start Proof for 5203575725573595487615697
6. ! [X0] : ((quiet(X0) | ~curious(X0)) => calm(X0)) [input p5]
16. ? [X0] : (brave(X0) | ~brave(X0)) => (~quiet(lucy) <~> curious(lucy)) [input p15]
25. ~calm(lucy) [input hypothesis]
33. ! [X0] : (calm(X0) ... | 0 |
Everyone who is happy is both not curious and curious.
If paul is both not quiet and happy then someone is either rich or not creative and vice versa.
Everyone who is either not rich or not strong is strong and vice versa.
If susan is both not brave and not quiet then someone is either brave or not strong.
If someone i... | Susan is not generous. | neutral | (![X]:(happy(X)=>(~curious(X)&curious(X))))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((rich(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~tall(X)&generous(X))=>(strong... | ~generous(susan) | [] | null | 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 patient. | contradiction | (((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 6150243225559250433492470
% SZS output start Proof for 6150243225559250433492470
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 calm or rich is both patient and not patient and vice versa.
If someone is generous or not strong then fred is both not rich and not happy.
Everyone who is either not generous or calm is either strong or quiet and vice versa.
Everyone who is happy is both quiet and not funny and vice versa.
If someone i... | Paul is happy. | entailment | (![X]:((calm(X)|rich(X))<=>(patient(X)&~patient(X))))&
((?[X]:((generous(X)|~strong(X))))=>((~rich(fred)&~happy(fred))))&
(![X]:((~generous(X)<~>calm(X))<=>(strong(X)<~>quiet(X))))&
(![X]:(happy(X)<=>(quiet(X)&~funny(X))))&
((?[X]:(creative(X)))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:((~kind(X)|~curious(X))<=>~quiet(... | happy(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 719664114477819163509614
% SZS output start Proof for 719664114477819163509614
20. happy(paul) [input p19]
24. ~happy(paul) [input hypothesis]
137. happy(paul) [cnf transformation 20]
142. ~happy(paul) [cnf transformation 24]
266. $false [subsumption resolution 142,137]
% SZS output end P... | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then mary is either creative or not funny and vice versa. Everyone who is rich or old is both old and not curious and vice versa. Everyone who is both not old and not strong is ... | Fred is creative. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)<~>~funny(mary))))&
(![X]:((rich(X)|old(X))<=>(old(X)&~curious(X))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(!... | creative(fred) | [
"p1",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4790405963875394199389246
% SZS output start Proof for 4790405963875394199389246
2. ! [X0] : ((humble(X0) | old(X0)) => creative(X0)) [input p1]
7. ! [X0] : ((calm(X0) & tall(X0)) <=> ~calm(X0)) [input p6]
16. (~humble(fred) & old(fred)) <=> ? [X0] : (old(X0) <~> ~tall(X0)) [input p15]
23... | 0 |
Everyone who is either not happy or not funny is both not happy and not brave.
If someone is both not tall and not calm then someone is both calm and not funny and vice versa.
Everyone who is either not patient or not happy is either generous or creative and vice versa.
Everyone who is happy is either happy or not kind... | Mary is not kind. | contradiction | (![X]:((~happy(X)<~>~funny(X))=>(~happy(X)&~brave(X))))&
((?[X]:((~tall(X)&~calm(X))))<=>(?[X]:((calm(X)&~funny(X)))))&
(![X]:((~patient(X)<~>~happy(X))<=>(generous(X)<~>creative(X))))&
(![X]:(happy(X)=>(happy(X)<~>~kind(X))))&
(![X]:(humble(X)=>(funny(X)|creative(X))))&
((?[X]:(old(X)))=>((humble(alice)<~>~calm(alice)... | ~kind(mary) | [
"p8",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8055748933697137558648524
% SZS output start Proof for 8055748933697137558648524
9. ! [X0] : ((~tall(X0) <~> generous(X0)) <=> (~tall(X0) & ~creative(X0))) [input p8]
12. ! [X0] : (~kind(X0) => (~creative(X0) & quiet(X0))) [input p11]
16. (~generous(mary) | brave(mary)) => (~calm(susan) &... | 0 |
If susan is either funny or happy then susan is both not old and not calm and vice versa. Everyone who is either quiet or funny is both funny and not old. Everyone who is not strong is funny or not strong. If alice is tall or not calm then susan is both creative and tall. Everyone who is either not funny or calm is not... | Alice is not old. | contradiction | (((funny(susan)<~>happy(susan)))<=>((~old(susan)&~calm(susan))))&
(![X]:((quiet(X)<~>funny(X))=>(funny(X)&~old(X))))&
(![X]:(~strong(X)=>(funny(X)|~strong(X))))&
(((tall(alice)|~calm(alice)))=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~stro... | ~old(alice) | [
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8930448695802279843436534
% SZS output start Proof for 8930448695802279843436534
11. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (~kind(X0) <~> ~generous(X0))) [input p10]
12. ! [X0] : (generous(X0) <=> (old(X0) & brave(X0))) [input p11]
14. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0... | 0 |
If mary is not tall then someone is both patient and generous.
Everyone who is both not old and not strong is both tall and funny and vice versa.
Everyone who is either not creative or not wise is either not old or tall.
Everyone who is either old or tall is not brave.
Everyone who is happy is not patient and vice vers... | Lucy is not kind. | contradiction | ((~tall(mary))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~old(X)&~strong(X))<=>(tall(X)&funny(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(~old(X)<~>tall(X))))&
(![X]:((old(X)<~>tall(X))=>~brave(X)))&
(![X]:(happy(X)<=>~patient(X)))&
(![X]:((happy(X)|~old(X))=>~curious(X)))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~funny... | ~kind(lucy) | [
"p4",
"p5",
"p8",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 861784946832213444450936
% SZS output start Proof for 861784946832213444450936
5. ! [X0] : (happy(X0) <=> ~patient(X0)) [input p4]
6. ! [X0] : ((~old(X0) | happy(X0)) => ~curious(X0)) [input p5]
9. ! [X0] : (~kind(X0) <=> funny(X0)) [input p8]
12. brave(john) <=> ? [X0] : (creative(X0) & ... | 0 |
Everyone who is both wise and not calm is not kind or quiet and vice versa.
Everyone who is both wise and not happy is both quiet and not funny and vice versa.
Everyone who is kind is either strong or not wise.
Everyone who is not calm or humble is old or not tall and vice versa.
Everyone who is curious is not quiet or... | Alice is quiet. | contradiction | (![X]:((wise(X)&~calm(X))<=>(~kind(X)|quiet(X))))&
(![X]:((wise(X)&~happy(X))<=>(quiet(X)&~funny(X))))&
(![X]:(kind(X)=>(strong(X)<~>~wise(X))))&
(![X]:((~calm(X)|humble(X))<=>(old(X)|~tall(X))))&
(![X]:(curious(X)<=>(~quiet(X)|funny(X))))&
(![X]:((wise(X)<~>quiet(X))<=>(curious(X)<~>calm(X))))&
(((happy(alice)<~>calm(... | quiet(alice) | [
"p0",
"p4",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8741742944526434781665669
% SZS output start Proof for 8741742944526434781665669
1. ! [X0] : ((~calm(X0) & wise(X0)) <=> (quiet(X0) | ~kind(X0))) [input p0]
5. ! [X0] : (curious(X0) <=> (funny(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (curious(X0) <~> calm(X0... | 0 |
If someone is either not kind or not tall then mary is both not strong and not rich and vice versa. Everyone who is either not humble or not calm is calm or not funny. Everyone who is not old is both not old and rich and vice versa. If alice is rich or not brave then mary is not brave or generous and vice versa. If som... | Susan is not generous. | neutral | ((?[X]:((~kind(X)<~>~tall(X))))<=>((~strong(mary)&~rich(mary))))&
(![X]:((~humble(X)<~>~calm(X))=>(calm(X)|~funny(X))))&
(![X]:(~old(X)<=>(~old(X)&rich(X))))&
(((rich(alice)|~brave(alice)))<=>((~brave(mary)|generous(mary))))&
((?[X]:((patient(X)|~kind(X))))=>(?[X]:((~rich(X)|~wise(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((ca... | ~generous(susan) | [] | null | 0 |
Everyone who is not calm is either generous or humble. If someone is both funny and generous then someone is funny. Everyone who is not rich or brave is either not calm or not curious. Everyone who is either happy or not brave is funny or not wise. If someone is strong then susan is not patient or happy. Everyone who i... | Alice is humble. | entailment | (![X]:(~calm(X)=>(generous(X)<~>humble(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:(funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~brave(X))=>(funny(X)|~wise(X))))&
((?[X]:(strong(X)))=>((~patient(susan)|happy(susan))))&
(![X]:((~patient(X)<~>~happy(X))=>(~wise(X)&~funny(X))... | humble(alice) | [
"p0",
"p2",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9059362280541625555704829
% SZS output start Proof for 9059362280541625555704829
1. ! [X0] : (~calm(X0) => (generous(X0) <~> humble(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~rich(X0)) => (~calm(X0) <~> ~curious(X0))) [input p2]
11. ! [X0] : (~happy(X0) <=> (brave(X0) | happy(X0))) [inpu... | 0 |
Everyone who is wise is either not funny or not quiet and vice versa.
Everyone who is not happy or not quiet is calm.
If someone is tall then someone is both curious and calm.
Everyone who is both wise and patient is not happy and vice versa.
If mary is creative then someone is either tall or not strong and vice versa.... | Lucy is creative. | contradiction | (![X]:(wise(X)<=>(~funny(X)<~>~quiet(X))))&
(![X]:((~happy(X)|~quiet(X))=>calm(X)))&
((?[X]:(tall(X)))=>(?[X]:((curious(X)&calm(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X)<~>~strong(X)))))&
((?[X]:(kind(X)))=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:(generous(X)))<=>(?[X]:((wise(... | creative(lucy) | [
"p0",
"p3",
"p7",
"p8",
"p10",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4605735026624633482832943
% SZS output start Proof for 4605735026624633482832943
1. ! [X0] : (wise(X0) <=> (~funny(X0) <~> ~quiet(X0))) [input p0]
4. ! [X0] : ((patient(X0) & wise(X0)) <=> ~happy(X0)) [input p3]
8. ! [X0] : ((~rich(X0) & happy(X0)) <=> (old(X0) <~> ~happy(X0))) [input p7]... | 0 |
If someone is not quiet then alice is either rich or not patient. Everyone who is creative or funny is either not brave or not humble and vice versa. If someone is both creative and happy then someone is either happy or not humble and vice versa. Everyone who is curious or tall is brave. Everyone who is creative or not... | John is old. | contradiction | ((?[X]:(~quiet(X)))=>((rich(alice)<~>~patient(alice))))&
(![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~... | old(john) | [
"p1",
"p3",
"p4",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2249382886810290153230755
% SZS output start Proof for 2249382886810290153230755
2. ! [X0] : ((funny(X0) | creative(X0)) <=> (~brave(X0) <~> ~humble(X0))) [input p1]
4. ! [X0] : ((tall(X0) | curious(X0)) => brave(X0)) [input p3]
5. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) ... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is calm or not brave is either patient or old.
If fred is strong or old then someone is not kind.
Everyone who is both not brave and not humble ... | Paul is not humble. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((calm(X)|~brave(X))=>(patient(X)<~>old(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)&~humble(X))=>(~calm(X)&strong(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)&creative... | ~humble(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1164816459509250317284779
% SZS output start Proof for 1164816459509250317284779
18. humble(paul) [input p17]
23. ~humble(paul) [input hypothesis]
131. humble(paul) [cnf transformation 18]
138. ~humble(paul) [cnf transformation 23]
275. $false [subsumption resolution 138,131]
% SZS output... | 0 |
If paul is not creative or not curious then someone is either not tall or old.
If someone is not kind or kind then mary is not generous or rich and vice versa.
Everyone who is generous is not funny and vice versa.
If paul is not old or generous then someone is wise and vice versa.
If paul is creative then john is not g... | Lucy is not generous. | entailment | (((~creative(paul)|~curious(paul)))=>(?[X]:((~tall(X)<~>old(X)))))&
((?[X]:((~kind(X)|kind(X))))<=>((~generous(mary)|rich(mary))))&
(![X]:(generous(X)<=>~funny(X)))&
(((~old(paul)|generous(paul)))<=>(?[X]:(wise(X))))&
((creative(paul))=>((~generous(john)|~kind(john))))&
(((tall(mary)<~>~patient(mary)))=>(brave(fred)))&... | ~generous(lucy) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6404595108329890947501320
% SZS output start Proof for 6404595108329890947501320
3. ! [X0] : (generous(X0) <=> ~funny(X0)) [input p2]
16. ! [X0] : ((strong(X0) | ~strong(X0)) => (patient(X0) & funny(X0))) [input p15]
24. generous(lucy) [input hypothesis]
34. ! [X0] : ((patient(X0) & funny... | 0 |
Everyone who is both not tall and strong is kind or not humble and vice versa.
Everyone who is not strong is old or not curious.
If susan is both wise and quiet then mary is quiet or strong and vice versa.
Everyone who is strong or rich is either not wise or not kind and vice versa.
If lucy is either not wise or old th... | John is wise. | entailment | (![X]:((~tall(X)&strong(X))<=>(kind(X)|~humble(X))))&
(![X]:(~strong(X)=>(old(X)|~curious(X))))&
(((wise(susan)&quiet(susan)))<=>((quiet(mary)|strong(mary))))&
(![X]:((strong(X)|rich(X))<=>(~wise(X)<~>~kind(X))))&
(((~wise(lucy)<~>old(lucy)))=>((~brave(john)&generous(john))))&
(![X]:((~calm(X)|creative(X))<=>kind(X)))&... | wise(john) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5582049154816437550749058
% SZS output start Proof for 5582049154816437550749058
1. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~humble(X0) | kind(X0))) [input p0]
6. ! [X0] : ((creative(X0) | ~calm(X0)) <=> kind(X0)) [input p5]
7. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & ~gene... | 0 |
Everyone who is both not happy and not tall is humble and vice versa. Everyone who is not wise or not generous is either not quiet or not patient and vice versa. If someone is wise then susan is not funny. Everyone who is either not quiet or not generous is not funny. If someone is strong or brave then someone is both ... | Alice is not tall. | entailment | (![X]:((~happy(X)&~tall(X))<=>humble(X)))&
(![X]:((~wise(X)|~generous(X))<=>(~quiet(X)<~>~patient(X))))&
((?[X]:(wise(X)))=>(~funny(susan)))&
(![X]:((~quiet(X)<~>~generous(X))=>~funny(X)))&
((?[X]:((strong(X)|brave(X))))<=>(?[X]:((~rich(X)&~creative(X)))))&
(![X]:((kind(X)<~>wise(X))=>~strong(X)))&
(![X]:(wise(X)<=>(~c... | ~tall(alice) | [
"p0",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 471866818684566802660382
% SZS output start Proof for 471866818684566802660382
1. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> humble(X0)) [input p0]
13. ? [X0] : (~old(X0) | patient(X0)) <=> humble(alice) [input p12]
18. ~old(fred) & ~humble(fred) [input p17]
25. tall(alice) [input hypothesis]... | 0 |
If someone is both kind and not wise then someone is both funny and not funny and vice versa.
Everyone who is either rich or not humble is not curious.
If fred is not humble then john is not generous and vice versa.
If john is both funny and wise then fred is funny or patient.
Everyone who is either happy or wise is no... | Lucy is humble. | contradiction | ((?[X]:((kind(X)&~wise(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((rich(X)<~>~humble(X))=>~curious(X)))&
((~humble(fred))<=>(~generous(john)))&
(((funny(john)&wise(john)))=>((funny(fred)|patient(fred))))&
(![X]:((happy(X)<~>wise(X))=>~tall(X)))&
(![X]:((~creative(X)&~quiet(X))<=>(~creative(X)|generous(X))))&
(![X]:... | humble(lucy) | [
"p6",
"p7",
"p10",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1537821842302347276236062
% SZS output start Proof for 1537821842302347276236062
7. ! [X0] : ((generous(X0) | ~old(X0)) <=> patient(X0)) [input p6]
8. ! [X0] : ((~kind(X0) <~> ~old(X0)) => (~humble(X0) & brave(X0))) [input p7]
11. ! [X0] : ((old(X0) & strong(X0)) <=> (rich(X0) <~> generou... | 0 |
Everyone who is funny or not generous is not tall. If paul is both not wise and creative then someone is either tall or brave and vice versa. If fred is either quiet or humble then someone is both not kind and kind and vice versa. If john is either not quiet or not calm then john is humble or calm. If paul is not curio... | Fred is happy. | neutral | (![X]:((funny(X)|~generous(X))=>~tall(X)))&
(((~wise(paul)&creative(paul)))<=>(?[X]:((tall(X)<~>brave(X)))))&
(((quiet(fred)<~>humble(fred)))<=>(?[X]:((~kind(X)&kind(X)))))&
(((~quiet(john)<~>~calm(john)))=>((humble(john)|calm(john))))&
((~curious(paul))=>(?[X]:((creative(X)<~>rich(X)))))&
(![X]:(~generous(X)=>kind(X))... | happy(fred) | [] | null | 0 |
If fred is either not humble or not wise then someone is both brave and not generous.
If someone is either tall or rich then john is kind and vice versa.
If someone is generous then someone is both not brave and not curious and vice versa.
Everyone who is not happy or not brave is either kind or not brave and vice vers... | Fred is not brave. | contradiction | (((~humble(fred)<~>~wise(fred)))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((tall(X)<~>rich(X))))<=>(kind(john)))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(kind(X)<~>~brave(X))))&
((?[X]:((~humble(X)&~patient(X))))=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((~kind(X)&curi... | ~brave(fred) | [
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 198095285618193025211795
% SZS output start Proof for 198095285618193025211795
4. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> (kind(X0) <~> ~brave(X0))) [input p3]
10. ! [X0] : (~strong(X0) <=> (strong(X0) <~> ~generous(X0))) [input p9]
14. generous(paul) <=> ? [X0] : (~kind(X0) | generous(X0... | 0 |
If lucy is not brave then fred is tall or not calm. If lucy is not wise then paul is both not funny and wise and vice versa. If someone is tall or generous then fred is not curious and vice versa. Everyone who is both generous and wise is either wise or kind. If someone is not wise then someone is not rich or wise. Eve... | Susan is not happy. | entailment | ((~brave(lucy))=>((tall(fred)|~calm(fred))))&
((~wise(lucy))<=>((~funny(paul)&wise(paul))))&
((?[X]:((tall(X)|generous(X))))<=>(~curious(fred)))&
(![X]:((generous(X)&wise(X))=>(wise(X)<~>kind(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~rich(X)|wise(X)))))&
(![X]:((~funny(X)&happy(X))<=>funny(X)))&
((?[X]:((~kind(X)&humble(X)))... | ~happy(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1837842532046930683964643
% SZS output start Proof for 1837842532046930683964643
6. ! [X0] : ((happy(X0) & ~funny(X0)) <=> funny(X0)) [input p5]
24. happy(susan) [input hypothesis]
51. ! [X0] : (((happy(X0) & ~funny(X0)) | ~funny(X0)) & (funny(X0) | (~happy(X0) | funny(X0)))) [nnf transfo... | 0 |
Everyone who is both not generous and not rich is either not generous or not old.
Everyone who is happy is either tall or not quiet.
Everyone who is either not brave or not creative is either not humble or kind.
If someone is not curious then someone is both funny and creative.
Everyone who is not creative or not kind ... | Fred is not humble. | contradiction | (![X]:((~generous(X)&~rich(X))=>(~generous(X)<~>~old(X))))&
(![X]:(happy(X)=>(tall(X)<~>~quiet(X))))&
(![X]:((~brave(X)<~>~creative(X))=>(~humble(X)<~>kind(X))))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((~creative(X)|~kind(X))<=>~patient(X)))&
(![X]:((~rich(X)|rich(X))=>~strong(X)))&
(((happy(fr... | ~humble(fred) | [
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 356403599614633595767145
% SZS output start Proof for 356403599614633595767145
6. ! [X0] : ((rich(X0) | ~rich(X0)) => ~strong(X0)) [input p5]
13. ! [X0] : (old(X0) <=> (~humble(X0) | ~kind(X0))) [input p12]
16. ! [X0] : ((strong(X0) | ~strong(X0)) <=> ~old(X0)) [input p15]
22. ~humble(fre... | 0 |
If someone is both happy and not creative then someone is not old and vice versa. If alice is either not wise or calm then paul is both not patient and creative. If someone is both kind and curious then john is not generous or curious and vice versa. If someone is not generous then john is either wise or strong. Everyo... | Paul is wise. | entailment | ((?[X]:((happy(X)&~creative(X))))<=>(?[X]:(~old(X))))&
(((~wise(alice)<~>calm(alice)))=>((~patient(paul)&creative(paul))))&
((?[X]:((kind(X)&curious(X))))<=>((~generous(john)|curious(john))))&
((?[X]:(~generous(X)))=>((wise(john)<~>strong(john))))&
(![X]:((~creative(X)|~wise(X))<=>(curious(X)&creative(X))))&
((?[X]:((~... | wise(paul) | [
"p0",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 34538354059453055303569
% SZS output start Proof for 34538354059453055303569
1. ? [X0] : (~creative(X0) & happy(X0)) <=> ? [X0] : ~old(X0) [input p0]
5. ! [X0] : ((~wise(X0) | ~creative(X0)) <=> (creative(X0) & curious(X0))) [input p4]
8. ! [X0] : ((humble(X0) & ~old(X0)) <=> (curious(X0)... | 0 |
Everyone who is both quiet and curious is either not patient or happy.
If john is both humble and not kind then john is both kind and rich.
If someone is both not curious and not quiet then susan is either not kind or not wise and vice versa.
Everyone who is both creative and humble is both not quiet and not funny.
Eve... | Lucy is tall. | contradiction | (![X]:((quiet(X)&curious(X))=>(~patient(X)<~>happy(X))))&
(((humble(john)&~kind(john)))=>((kind(john)&rich(john))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((~kind(susan)<~>~wise(susan))))&
(![X]:((creative(X)&humble(X))=>(~quiet(X)&~funny(X))))&
(![X]:((curious(X)&~curious(X))=>(brave(X)|~old(X))))&
(![X]:(~strong(X)=>(k... | tall(lucy) | [
"p0",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8753169637860568386581891
% SZS output start Proof for 8753169637860568386581891
1. ! [X0] : ((curious(X0) & quiet(X0)) => (~patient(X0) <~> happy(X0))) [input p0]
10. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (~tall(X0) & ~kind(X0))) [input p9]
15. ! [X0] : ((~patient(X0) & quiet(X0)) <=>... | 0 |
Everyone who is creative is not strong.
If lucy is not wise then someone is both happy and not wise.
Everyone who is either not brave or old is both wise and strong and vice versa.
Everyone who is either not brave or not humble is both not strong and not calm and vice versa.
Everyone who is not quiet is either strong o... | Alice is not old. | neutral | (![X]:(creative(X)=>~strong(X)))&
((~wise(lucy))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~brave(X)<~>old(X))<=>(wise(X)&strong(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>old(X))))&
(![X]:((old(X)<~>~humble(X))=>(~creative(X)|~tall(X))))&
(![X]:(~brave(X)<=>(creative... | ~old(alice) | [] | null | 0 |
If susan is both not patient and not rich then fred is kind and vice versa. If paul is not rich then someone is either not quiet or not wise and vice versa. Everyone who is both calm and rich is either not old or not patient and vice versa. Everyone who is happy is either not quiet or not tall. If someone is either not... | Fred is curious. | neutral | (((~patient(susan)&~rich(susan)))<=>(kind(fred)))&
((~rich(paul))<=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(![X]:((calm(X)&rich(X))<=>(~old(X)<~>~patient(X))))&
(![X]:(happy(X)=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((brave(lucy)&~humble(lucy))))&
(![X]:((funny(X)|~calm(X))<=>(~kind(X)&~patient(X)))... | curious(fred) | [] | null | 0 |
Everyone who is not patient or brave is quiet or rich and vice versa. Everyone who is both not patient and curious is kind. If lucy is old then lucy is both rich and not kind. Everyone who is both not rich and tall is both not generous and calm and vice versa. If someone is either strong or rich then someone is either ... | Fred is not tall. | neutral | (![X]:((~patient(X)|brave(X))<=>(quiet(X)|rich(X))))&
(![X]:((~patient(X)&curious(X))=>kind(X)))&
((old(lucy))=>((rich(lucy)&~kind(lucy))))&
(![X]:((~rich(X)&tall(X))<=>(~generous(X)&calm(X))))&
((?[X]:((strong(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((~wise(X)&brave(X))))=>((rich(susan)|patient(su... | ~tall(fred) | [] | null | 0 |
Everyone who is either calm or kind is generous.
Everyone who is brave or not humble is not old and vice versa.
If paul is not calm then john is happy or not strong and vice versa.
If someone is rich or not generous then someone is wise or strong and vice versa.
Everyone who is either not tall or happy is both quiet an... | Lucy is not creative. | neutral | (![X]:((calm(X)<~>kind(X))=>generous(X)))&
(![X]:((brave(X)|~humble(X))<=>~old(X)))&
((~calm(paul))<=>((happy(john)|~strong(john))))&
((?[X]:((rich(X)|~generous(X))))<=>(?[X]:((wise(X)|strong(X)))))&
(![X]:((~tall(X)<~>happy(X))<=>(quiet(X)&~kind(X))))&
((quiet(susan))<=>(?[X]:(~quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:((... | ~creative(lucy) | [] | null | 0 |
Everyone who is either not old or tall is both humble and not humble and vice versa. If susan is both quiet and brave then someone is either not rich or rich. If someone is calm then mary is both not kind and not rich. Everyone who is either curious or rich is either calm or not calm and vice versa. Everyone who is cal... | Mary is creative. | entailment | (![X]:((~old(X)<~>tall(X))<=>(humble(X)&~humble(X))))&
(((quiet(susan)&brave(susan)))=>(?[X]:((~rich(X)<~>rich(X)))))&
((?[X]:(calm(X)))=>((~kind(mary)&~rich(mary))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)<~>~calm(X))))&
(![X]:(calm(X)=>wise(X)))&
(![X]:((~quiet(X)|funny(X))<=>(~tall(X)&creative(X))))&
((~old(fred))... | creative(mary) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6111281968706054386665496
% SZS output start Proof for 6111281968706054386665496
6. ! [X0] : ((funny(X0) | ~quiet(X0)) <=> (creative(X0) & ~tall(X0))) [input p5]
13. (funny(mary) | creative(mary)) <=> ? [X0] : (quiet(X0) & ~creative(X0)) [input p12]
23. ~creative(mary) [input hypothesis]
... | 0 |
Everyone who is both not brave and calm is both not tall and not happy.
Everyone who is funny is not kind.
Everyone who is tall is kind.
Everyone who is either not creative or not happy is quiet or rich and vice versa.
Everyone who is not happy or quiet is not creative or quiet.
Everyone who is not humble is both not s... | Paul is wise. | neutral | (![X]:((~brave(X)&calm(X))=>(~tall(X)&~happy(X))))&
(![X]:(funny(X)=>~kind(X)))&
(![X]:(tall(X)=>kind(X)))&
(![X]:((~creative(X)<~>~happy(X))<=>(quiet(X)|rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~creative(X)|quiet(X))))&
(![X]:(~humble(X)=>(~strong(X)&generous(X))))&
((?[X]:(happy(X)))=>(?[X]:((curious(X)&~patient(X))... | wise(paul) | [] | null | 0 |
If alice is quiet or generous then someone is both quiet and patient.
Everyone who is both not patient and not humble is generous or not quiet and vice versa.
If fred is not rich or calm then alice is not humble and vice versa.
Everyone who is both not calm and kind is quiet or happy and vice versa.
If fred is both not... | Mary is rich. | contradiction | (((quiet(alice)|generous(alice)))=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:((~patient(X)&~humble(X))<=>(generous(X)|~quiet(X))))&
(((~rich(fred)|calm(fred)))<=>(~humble(alice)))&
(![X]:((~calm(X)&kind(X))<=>(quiet(X)|happy(X))))&
(((~quiet(fred)&wise(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~calm(X)<~>~wise(X))=>rich(X)))&
... | rich(mary) | [
"p1",
"p3",
"p7",
"p11",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4271125201089895942314499
% SZS output start Proof for 4271125201089895942314499
2. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~quiet(X0) | generous(X0))) [input p1]
4. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (happy(X0) | quiet(X0))) [input p3]
8. (strong(fred) & rich(fred)) <=> (kind(mary)... | 0 |
Everyone who is either not rich or creative is either wise or creative and vice versa.
Everyone who is both not patient and not calm is not kind.
Everyone who is brave is not patient or generous and vice versa.
If john is not funny then someone is either not brave or not happy.
Everyone who is not kind or calm is not c... | Lucy is strong. | neutral | (![X]:((~rich(X)<~>creative(X))<=>(wise(X)<~>creative(X))))&
(![X]:((~patient(X)&~calm(X))=>~kind(X)))&
(![X]:(brave(X)<=>(~patient(X)|generous(X))))&
((~funny(john))=>(?[X]:((~brave(X)<~>~happy(X)))))&
(![X]:((~kind(X)|calm(X))=>(~curious(X)|humble(X))))&
(![X]:(~patient(X)<=>(~tall(X)|~kind(X))))&
((?[X]:((~patient(X... | strong(lucy) | [] | null | 0 |
Everyone who is either not curious or not funny is both not tall and funny.
If someone is not wise or not kind then someone is not rich.
If someone is brave or curious then fred is either not happy or not brave.
If john is both patient and not funny then someone is not old or not tall and vice versa.
Everyone who is bo... | Susan is brave. | neutral | (![X]:((~curious(X)<~>~funny(X))=>(~tall(X)&funny(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>((~happy(fred)<~>~brave(fred))))&
(((patient(john)&~funny(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~brave(X)&happy(X))<=>(humble(X)|~tall(X))))&
(((brave(john)&generous(joh... | brave(susan) | [] | null | 0 |
If alice is either not wise or rich then someone is not strong and vice versa.
Everyone who is either wise or not quiet is either not quiet or not funny and vice versa.
Everyone who is either creative or old is both funny and not curious.
Everyone who is old or brave is either calm or not patient and vice versa.
If som... | Mary is not brave. | contradiction | (((~wise(alice)<~>rich(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~quiet(X)<~>~funny(X))))&
(![X]:((creative(X)<~>old(X))=>(funny(X)&~curious(X))))&
(![X]:((old(X)|brave(X))<=>(calm(X)<~>~patient(X))))&
((?[X]:((~old(X)&wise(X))))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:(tall(X)=>(generous(X)<~>o... | ~brave(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7664908115621055803862766
% SZS output start Proof for 7664908115621055803862766
9. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> brave(X0)) [input p8]
25. ~brave(mary) [input hypothesis]
56. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) | ~brave(X0)) & (brave(X0) | ((~calm(X0) | ... | 0 |
Everyone who is both not strong and curious is patient and vice versa.
Everyone who is either not humble or not calm is brave and vice versa.
Everyone who is both happy and not strong is both strong and funny.
Everyone who is old or funny is not brave or curious and vice versa.
If someone is both not funny and creative... | Paul is old. | neutral | (![X]:((~strong(X)&curious(X))<=>patient(X)))&
(![X]:((~humble(X)<~>~calm(X))<=>brave(X)))&
(![X]:((happy(X)&~strong(X))=>(strong(X)&funny(X))))&
(![X]:((old(X)|funny(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~funny(X)&creative(X))))=>((curious(paul)<~>patient(paul))))&
(![X]:((~kind(X)&~strong(X))<=>(rich(X)<~>calm(X))... | old(paul) | [] | null | 0 |
Everyone who is either not rich or not humble is either patient or not creative. Everyone who is both not strong and rich is not humble. Everyone who is calm is not patient or not strong. If someone is quiet or brave then susan is tall. Everyone who is patient or not patient is happy or humble and vice versa. Everyone ... | Paul is not generous. | contradiction | (![X]:((~rich(X)<~>~humble(X))=>(patient(X)<~>~creative(X))))&
(![X]:((~strong(X)&rich(X))=>~humble(X)))&
(![X]:(calm(X)=>(~patient(X)|~strong(X))))&
((?[X]:((quiet(X)|brave(X))))=>(tall(susan)))&
(![X]:((patient(X)|~patient(X))<=>(happy(X)|humble(X))))&
(![X]:((~strong(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:... | ~generous(paul) | [
"p5",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4973084049277546550587118
% SZS output start Proof for 4973084049277546550587118
6. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (~strong(X0) | strong(X0))) [input p5]
8. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~brave(X0) | quiet(X0))) [input p7]
11. ! [X0] : (generous(X0) <=> (wise(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... | John is not wise. | neutral | ((?[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))... | ~wise(john) | [] | null | 0 |
Everyone who is both patient and not curious is not humble or kind and vice versa.
If paul is patient then fred is creative or not wise and vice versa.
Everyone who is not old is rich and vice versa.
If someone is old then someone is both funny and creative and vice versa.
Everyone who is either wise or not humble is c... | Lucy is funny. | contradiction | (![X]:((patient(X)&~curious(X))<=>(~humble(X)|kind(X))))&
((patient(paul))<=>((creative(fred)|~wise(fred))))&
(![X]:(~old(X)<=>rich(X)))&
((?[X]:(old(X)))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((wise(X)<~>~humble(X))=>curious(X)))&
(((funny(mary)|generous(mary)))=>(?[X]:((brave(X)|~kind(X)))))&
(![X]:((humble(X)|cu... | funny(lucy) | [
"p0",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4870834647945149370372699
% SZS output start Proof for 4870834647945149370372699
1. ! [X0] : ((~curious(X0) & patient(X0)) <=> (kind(X0) | ~humble(X0))) [input p0]
10. ! [X0] : (~kind(X0) => (humble(X0) <~> ~curious(X0))) [input p9]
15. ! [X0] : ((~creative(X0) & old(X0)) <=> (patient(X0)... | 0 |
If lucy is both strong and not funny then john is either funny or not strong and vice versa.
If someone is both not humble and not rich then someone is both brave and not quiet and vice versa.
Everyone who is either not wise or not kind is old and vice versa.
If paul is either not rich or patient then someone is not ri... | Fred is not brave. | contradiction | (((strong(lucy)&~funny(lucy)))<=>((funny(john)<~>~strong(john))))&
((?[X]:((~humble(X)&~rich(X))))<=>(?[X]:((brave(X)&~quiet(X)))))&
(![X]:((~wise(X)<~>~kind(X))<=>old(X)))&
(((~rich(paul)<~>patient(paul)))=>(?[X]:((~rich(X)|~humble(X)))))&
((~rich(susan))=>((strong(fred)<~>~creative(fred))))&
(![X]:(~humble(X)=>(old(X... | ~brave(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6593589991856346448307397
% SZS output start Proof for 6593589991856346448307397
17. brave(fred) & ~happy(fred) [input p16]
25. ~brave(fred) [input hypothesis]
131. brave(fred) [cnf transformation 17]
141. ~brave(fred) [cnf transformation 25]
384. $false [subsumption resolution 141,131]
%... | 0 |
Everyone who is not quiet or quiet is either not strong or patient and vice versa. Everyone who is calm is kind and vice versa. If someone is either not rich or calm then someone is either not wise or rich. If paul is both creative and not creative then someone is either funny or not quiet and vice versa. Everyone who ... | Susan is patient. | entailment | (![X]:((~quiet(X)|quiet(X))<=>(~strong(X)<~>patient(X))))&
(![X]:(calm(X)<=>kind(X)))&
((?[X]:((~rich(X)<~>calm(X))))=>(?[X]:((~wise(X)<~>rich(X)))))&
(((creative(paul)&~creative(paul)))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
(![X]:((curious(X)<~>quiet(X))<=>(~humble(X)<~>quiet(X))))&
(![X]:((quiet(X)&~creative(X))<=>(~cu... | patient(susan) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2550831371921075770564288
% SZS output start Proof for 2550831371921075770564288
1. ! [X0] : ((quiet(X0) | ~quiet(X0)) <=> (~strong(X0) <~> patient(X0))) [input p0]
8. ! [X0] : ((~creative(X0) & patient(X0)) <=> (old(X0) | ~strong(X0))) [input p7]
25. ~patient(susan) [input hypothesis]
35... | 0 |
If someone is either not humble or not patient then someone is calm and vice versa.
If someone is either not strong or not patient then paul is both generous and rich and vice versa.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is br... | John is kind. | neutral | ((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>((generous(paul)&rich(paul))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generou... | kind(john) | [] | null | 0 |
If mary is not tall then someone is both patient and generous. Everyone who is both not old and not strong is both tall and funny and vice versa. If alice is either generous or wise then john is both wise and old. Everyone who is both not humble and humble is tall or not curious and vice versa. Everyone who is both bra... | Susan is not kind. | contradiction | ((~tall(mary))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~old(X)&~strong(X))<=>(tall(X)&funny(X))))&
(((generous(alice)<~>wise(alice)))=>((wise(john)&old(john))))&
(![X]:((~humble(X)&humble(X))<=>(tall(X)|~curious(X))))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~funny(X))))&
((?[X]:((~patient(X)&~rich(X))))=>(?[X]:(gen... | ~kind(susan) | [
"p4",
"p6",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3555641259382416570899998
% SZS output start Proof for 3555641259382416570899998
5. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p4]
7. ! [X0] : (~kind(X0) <=> funny(X0)) [input p6]
13. ! [X0] : ((~old(X0) & happy(X0)) <=> creative(X0)) [input p12]
14. ! [X0] : ((... | 0 |
Everyone who is both not curious and not humble is patient.
If someone is either not brave or rich then someone is not happy or not quiet and vice versa.
Everyone who is both not old and not curious is not quiet or not tall.
Everyone who is not kind or wise is both happy and rich.
Everyone who is both not funny and ric... | Susan is generous. | neutral | (![X]:((~curious(X)&~humble(X))=>patient(X)))&
((?[X]:((~brave(X)<~>rich(X))))<=>(?[X]:((~happy(X)|~quiet(X)))))&
(![X]:((~old(X)&~curious(X))=>(~quiet(X)|~tall(X))))&
(![X]:((~kind(X)|wise(X))=>(happy(X)&rich(X))))&
(![X]:((~funny(X)&rich(X))=>strong(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>rich(X))))&
(![X]:((quiet(X)|ric... | generous(susan) | [] | null | 0 |
Everyone who is either not curious or generous is wise and vice versa.
Everyone who is either not wise or not strong is not creative or rich.
Everyone who is generous or not calm is either patient or not humble and vice versa.
If lucy is either not happy or calm then someone is either curious or not curious and vice ve... | Susan is curious. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>wise(X)))&
(![X]:((~wise(X)<~>~strong(X))=>(~creative(X)|rich(X))))&
(![X]:((generous(X)|~calm(X))<=>(patient(X)<~>~humble(X))))&
(((~happy(lucy)<~>calm(lucy)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((happy(alice))<=>(?[X]:((wise(X)|~happy(X)))))&
((~creative(susan))<=>(?[X]:((~ca... | curious(susan) | [
"p0",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2500315384598453513494801
% SZS output start Proof for 2500315384598453513494801
1. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> wise(X0)) [input p0]
13. ! [X0] : ((~rich(X0) | curious(X0)) => wise(X0)) [input p12]
18. ~generous(susan) [input p17]
21. curious(susan) [input hypothesis]
31... | 0 |
If someone is both not patient and wise then susan is both not kind and not humble and vice versa.
Everyone who is either quiet or tall is both curious and not rich.
If someone is not kind or brave then paul is either strong or brave and vice versa.
If paul is not curious then paul is not old.
Everyone who is either qu... | Lucy is generous. | neutral | ((?[X]:((~patient(X)&wise(X))))<=>((~kind(susan)&~humble(susan))))&
(![X]:((quiet(X)<~>tall(X))=>(curious(X)&~rich(X))))&
((?[X]:((~kind(X)|brave(X))))<=>((strong(paul)<~>brave(paul))))&
((~curious(paul))=>(~old(paul)))&
(![X]:((quiet(X)<~>~humble(X))<=>(tall(X)&strong(X))))&
(![X]:((old(X)<~>calm(X))=>(old(X)&kind(X))... | generous(lucy) | [] | null | 0 |
Everyone who is not tall or happy is either not creative or not humble.
If paul is creative or not humble then john is either strong or humble.
Everyone who is generous is not funny and vice versa.
Everyone who is both not creative and not calm is not brave.
Everyone who is not generous or not rich is either tall or fu... | Alice is not brave. | neutral | (![X]:((~tall(X)|happy(X))=>(~creative(X)<~>~humble(X))))&
(((creative(paul)|~humble(paul)))=>((strong(john)<~>humble(john))))&
(![X]:(generous(X)<=>~funny(X)))&
(![X]:((~creative(X)&~calm(X))=>~brave(X)))&
(![X]:((~generous(X)|~rich(X))<=>(tall(X)<~>funny(X))))&
(((~brave(alice)&~happy(alice)))=>(?[X]:((quiet(X)|~old(... | ~brave(alice) | [] | null | 0 |
If alice is not tall then alice is not creative and vice versa.
If lucy is either not quiet or tall then susan is both not tall and not kind.
Everyone who is either not curious or not calm is either strong or not generous.
Everyone who is either tall or not quiet is either not funny or old and vice versa.
Everyone who ... | Mary is not rich. | entailment | ((~tall(alice))<=>(~creative(alice)))&
(((~quiet(lucy)<~>tall(lucy)))=>((~tall(susan)&~kind(susan))))&
(![X]:((~curious(X)<~>~calm(X))=>(strong(X)<~>~generous(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~humble(X)|strong(X))<=>~curious(X)))&
(![X]:((generous(X)|~curious(X))=>(~rich(X)|kind(X))... | ~rich(mary) | [
"p4",
"p5",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2286327921514178375509602
% SZS output start Proof for 2286327921514178375509602
5. ! [X0] : ((strong(X0) | ~humble(X0)) <=> ~curious(X0)) [input p4]
6. ! [X0] : ((~curious(X0) | generous(X0)) => (kind(X0) | ~rich(X0))) [input p5]
16. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~calm(X0) & ... | 0 |
If someone is wise or strong then someone is both funny and not strong. If lucy is both curious and not calm then john is either not generous or quiet and vice versa. Everyone who is generous or not rich is not quiet or rich and vice versa. Everyone who is either strong or kind is either not strong or wise. If mary is ... | Susan is not old. | entailment | ((?[X]:((wise(X)|strong(X))))=>(?[X]:((funny(X)&~strong(X)))))&
(((curious(lucy)&~calm(lucy)))<=>((~generous(john)<~>quiet(john))))&
(![X]:((generous(X)|~rich(X))<=>(~quiet(X)|rich(X))))&
(![X]:((strong(X)<~>kind(X))=>(~strong(X)<~>wise(X))))&
(((humble(mary)|~creative(mary)))<=>((generous(mary)|curious(mary))))&
((?[X... | ~old(susan) | [
"p8",
"p10",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6680566634979539022437340
% SZS output start Proof for 6680566634979539022437340
9. ! [X0] : ((tall(X0) | patient(X0)) => (tall(X0) & ~generous(X0))) [input p8]
11. ! [X0] : ((~funny(X0) | funny(X0)) => generous(X0)) [input p10]
13. ! [X0] : ((wise(X0) | patient(X0)) <=> creative(X0)) [in... | 0 |
If someone is not generous then fred is not tall or happy and vice versa. If someone is not brave or not generous then susan is old and vice versa. Everyone who is either not generous or funny is humble or not generous and vice versa. Everyone who is wise or not strong is both not wise and not old. If susan is either n... | Alice is calm. | neutral | ((?[X]:(~generous(X)))<=>((~tall(fred)|happy(fred))))&
((?[X]:((~brave(X)|~generous(X))))<=>(old(susan)))&
(![X]:((~generous(X)<~>funny(X))<=>(humble(X)|~generous(X))))&
(![X]:((wise(X)|~strong(X))=>(~wise(X)&~old(X))))&
(((~curious(susan)<~>strong(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((creative(X)<~>humb... | calm(alice) | [] | null | 0 |
Everyone who is not happy or not humble is calm and vice versa.
Everyone who is both not quiet and not generous is both not quiet and not kind and vice versa.
Everyone who is not generous is not calm or not brave.
If john is either not brave or not old then someone is both quiet and calm and vice versa.
If alice is bot... | John is not old. | entailment | (![X]:((~happy(X)|~humble(X))<=>calm(X)))&
(![X]:((~quiet(X)&~generous(X))<=>(~quiet(X)&~kind(X))))&
(![X]:(~generous(X)=>(~calm(X)|~brave(X))))&
(((~brave(john)<~>~old(john)))<=>(?[X]:((quiet(X)&calm(X)))))&
(((~wise(alice)&creative(alice)))<=>((happy(john)<~>strong(john))))&
((?[X]:((~generous(X)<~>~humble(X))))=>((~... | ~old(john) | [
"p0",
"p1",
"p3",
"p9",
"p10",
"p11",
"p14",
"p17",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 259878781190755501818554
% SZS output start Proof for 259878781190755501818554
1. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> calm(X0)) [input p0]
2. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (~kind(X0) & ~quiet(X0))) [input p1]
4. (~brave(john) <~> ~old(john)) <=> ? [X0] : (calm(X0) & quie... | 0 |
If alice is either not curious or not funny then susan is both not quiet and rich and vice versa. Everyone who is both funny and tall is either kind or not happy. Everyone who is both tall and not quiet is not strong. Everyone who is both rich and not old is tall or not quiet and vice versa. Everyone who is both funny ... | Lucy is not rich. | contradiction | (((~curious(alice)<~>~funny(alice)))<=>((~quiet(susan)&rich(susan))))&
(![X]:((funny(X)&tall(X))=>(kind(X)<~>~happy(X))))&
(![X]:((tall(X)&~quiet(X))=>~strong(X)))&
(![X]:((rich(X)&~old(X))<=>(tall(X)|~quiet(X))))&
(![X]:((funny(X)&~generous(X))=>~brave(X)))&
(![X]:((~humble(X)<~>~funny(X))=>(kind(X)<~>~generous(X))))&... | ~rich(lucy) | [
"p3",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2828653116705795284310907
% SZS output start Proof for 2828653116705795284310907
4. ! [X0] : ((~old(X0) & rich(X0)) <=> (~quiet(X0) | tall(X0))) [input p3]
10. ! [X0] : ((~old(X0) & ~generous(X0)) <=> ~funny(X0)) [input p9]
14. ! [X0] : ((generous(X0) & ~brave(X0)) <=> ~rich(X0)) [input p... | 0 |
If susan is either tall or not curious then susan is not happy or kind.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone who is not rich... | Lucy is brave. | entailment | (((tall(susan)<~>~curious(susan)))=>((~happy(susan)|kind(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
... | brave(lucy) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 12927717078887983133658
% SZS output start Proof for 12927717078887983133658
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
14. ! [X0] : ((~quiet(X0) | brave(X0)) => ~wise(X0)) [input p13]
16. ? [X0] : ~brave(X0) <=> (wise(alice) & ~happy(alice)) [input p15]
22. ~brave(luc... | 0 |
Everyone who is not strong or kind is both calm and not kind and vice versa.
Everyone who is both not calm and calm is either not quiet or not creative and vice versa.
If mary is both not strong and not funny then lucy is either wise or rich and vice versa.
If mary is both calm and not brave then paul is either not qui... | Paul is not rich. | neutral | (![X]:((~strong(X)|kind(X))<=>(calm(X)&~kind(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)<~>~creative(X))))&
(((~strong(mary)&~funny(mary)))<=>((wise(lucy)<~>rich(lucy))))&
(((calm(mary)&~brave(mary)))<=>((~quiet(paul)<~>patient(paul))))&
(((~humble(fred)&calm(fred)))<=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((happy(X)... | ~rich(paul) | [] | null | 0 |
Everyone who is brave or funny is both not happy and not tall.
If lucy is either not generous or old then mary is not curious and vice versa.
If someone is both happy and not humble then fred is not tall or generous.
Everyone who is kind or humble is both tall and generous.
Everyone who is either funny or kind is not r... | Lucy is calm. | contradiction | (![X]:((brave(X)|funny(X))=>(~happy(X)&~tall(X))))&
(((~generous(lucy)<~>old(lucy)))<=>(~curious(mary)))&
((?[X]:((happy(X)&~humble(X))))=>((~tall(fred)|generous(fred))))&
(![X]:((kind(X)|humble(X))=>(tall(X)&generous(X))))&
(![X]:((funny(X)<~>kind(X))<=>(~rich(X)|~quiet(X))))&
(((~curious(alice)|~rich(alice)))<=>(?[X]... | calm(lucy) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7664465881407639224292891
% SZS output start Proof for 7664465881407639224292891
1. ! [X0] : ((funny(X0) | brave(X0)) => (~tall(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((humble(X0) | kind(X0)) => (generous(X0) & tall(X0))) [input p3]
5. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~quiet(X0)... | 0 |
Everyone who is either patient or funny is strong and vice versa. If paul is either not old or brave then fred is either creative or happy. Everyone who is wise is not curious or quiet and vice versa. If paul is happy then someone is not humble. Everyone who is either happy or not rich is creative or not tall. If alice... | Paul is generous. | neutral | (![X]:((patient(X)<~>funny(X))<=>strong(X)))&
(((~old(paul)<~>brave(paul)))=>((creative(fred)<~>happy(fred))))&
(![X]:(wise(X)<=>(~curious(X)|quiet(X))))&
((happy(paul))=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | generous(paul) | [] | null | 0 |
Everyone who is both not strong and rich is both not curious and not strong and vice versa.
Everyone who is happy or funny is either not strong or patient.
Everyone who is strong or patient is not wise and vice versa.
Everyone who is not patient or not kind is both funny and not happy and vice versa.
Everyone who is ei... | Lucy is not funny. | contradiction | (![X]:((~strong(X)&rich(X))<=>(~curious(X)&~strong(X))))&
(![X]:((happy(X)|funny(X))=>(~strong(X)<~>patient(X))))&
(![X]:((strong(X)|patient(X))<=>~wise(X)))&
(![X]:((~patient(X)|~kind(X))<=>(funny(X)&~happy(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(~creative(X)&old(X))))&
(![X]:((~happy(X)&quiet(X))=>~wise(X)))&
((quiet(p... | ~funny(lucy) | [
"p2",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8085724983905830609471782
% SZS output start Proof for 8085724983905830609471782
3. ! [X0] : ((patient(X0) | strong(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (~happy(X0) & funny(X0))) [input p3]
18. wise(lucy) [input p17]
24. ~funny(lucy) [input hypothesis... | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Fred is humble. | entailment | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | humble(fred) | [
"p1",
"p3",
"p5",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3951306107463031728139540
% SZS output start Proof for 3951306107463031728139540
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
4. ! [X0] : (humble(X0) <=> (wise(X0) | ~rich(X0))) [input p3]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9.... | 0 |
If alice is both not funny and not old then someone is either humble or not quiet.
Everyone who is either rich or not generous is not rich or happy and vice versa.
If someone is both brave and not funny then alice is creative and vice versa.
Everyone who is either kind or wise is old.
Everyone who is wise is not wise o... | Alice is not creative. | entailment | (((~funny(alice)&~old(alice)))=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:((rich(X)<~>~generous(X))<=>(~rich(X)|happy(X))))&
((?[X]:((brave(X)&~funny(X))))<=>(creative(alice)))&
(![X]:((kind(X)<~>wise(X))=>old(X)))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>old(susan))))&
((?... | ~creative(alice) | [
"p1",
"p7",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8360135203391330000286780
% SZS output start Proof for 8360135203391330000286780
2. ! [X0] : ((rich(X0) <~> ~generous(X0)) <=> (happy(X0) | ~rich(X0))) [input p1]
8. ! [X0] : ((humble(X0) | ~generous(X0)) => (~kind(X0) & quiet(X0))) [input p7]
15. ! [X0] : ((quiet(X0) | brave(X0)) <=> ~cr... | 0 |
If mary is both not wise and rich then susan is not tall or kind and vice versa.
Everyone who is creative or not happy is both not rich and not old.
Everyone who is either creative or not tall is both strong and not old.
If susan is both not funny and wise then john is either not happy or brave.
Everyone who is both hu... | Fred is not kind. | entailment | (((~wise(mary)&rich(mary)))<=>((~tall(susan)|kind(susan))))&
(![X]:((creative(X)|~happy(X))=>(~rich(X)&~old(X))))&
(![X]:((creative(X)<~>~tall(X))=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X))<=>(~old(X)<~>~creative(X))))&
(![X]:((brave(X)<~>~tall... | ~kind(fred) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7913801707267723011990311
% SZS output start Proof for 7913801707267723011990311
12. ! [X0] : (~wise(X0) => ~kind(X0)) [input p11]
22. kind(fred) <~> wise(fred) [input p21]
25. kind(fred) [input hypothesis]
34. ! [X0] : (~kind(X0) | wise(X0)) [ennf transformation 12]
68. (~wise(fred) | ~k... | 0 |
Everyone who is old or not strong is either rich or not humble and vice versa. If someone is not strong or not rich then susan is either not creative or humble. If alice is brave or not creative then someone is both not old and happy. Everyone who is both generous and patient is both not calm and not strong. If alice i... | Susan is rich. | contradiction | (![X]:((old(X)|~strong(X))<=>(rich(X)<~>~humble(X))))&
((?[X]:((~strong(X)|~rich(X))))=>((~creative(susan)<~>humble(susan))))&
(((brave(alice)|~creative(alice)))=>(?[X]:((~old(X)&happy(X)))))&
(![X]:((generous(X)&patient(X))=>(~calm(X)&~strong(X))))&
(((wise(alice)<~>calm(alice)))<=>(?[X]:((kind(X)<~>~patient(X)))))&
(... | rich(susan) | [
"p0",
"p1",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4930420312633906011945524
% SZS output start Proof for 4930420312633906011945524
1. ! [X0] : ((~strong(X0) | old(X0)) <=> (rich(X0) <~> ~humble(X0))) [input p0]
2. ? [X0] : (~rich(X0) | ~strong(X0)) => (~creative(susan) <~> humble(susan)) [input p1]
12. ! [X0] : (~creative(X0) <=> (~tall(... | 0 |
Everyone who is generous or tall is both not curious and old.
If someone is not creative then someone is both not tall and humble.
If someone is both old and funny then someone is either tall or not brave and vice versa.
If someone is tall then someone is old.
Everyone who is either patient or creative is not creative ... | Paul is creative. | entailment | (![X]:((generous(X)|tall(X))=>(~curious(X)&old(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~tall(X)&humble(X)))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:(tall(X)))=>(?[X]:(old(X))))&
(![X]:((patient(X)<~>creative(X))<=>(~creative(X)|~rich(X))))&
(![X]:(happy(X)=>~happy(X)))&
((~kind(alice))=>... | creative(paul) | [
"p4",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4422470722011148961886409
% SZS output start Proof for 4422470722011148961886409
5. ! [X0] : ((patient(X0) <~> creative(X0)) <=> (~rich(X0) | ~creative(X0))) [input p4]
6. ! [X0] : (happy(X0) => ~happy(X0)) [input p5]
16. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (~happy(X0) | ~curious(X0)... | 0 |
If fred is not happy or not old then someone is either not brave or not generous and vice versa. If someone is happy or not creative then alice is not old. If someone is not tall or not generous then someone is both kind and curious. Everyone who is not happy or brave is not creative and vice versa. Everyone who is eit... | Mary is not happy. | contradiction | (((~happy(fred)|~old(fred)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:((happy(X)|~creative(X))))=>(~old(alice)))&
((?[X]:((~tall(X)|~generous(X))))=>(?[X]:((kind(X)&curious(X)))))&
(![X]:((~happy(X)|brave(X))<=>~creative(X)))&
(![X]:((~creative(X)<~>funny(X))=>(kind(X)&patient(X))))&
((?[X]:(~patient(X)))=>(?[X]:... | ~happy(mary) | [
"p2",
"p3",
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4364591396199364422144347
% SZS output start Proof for 4364591396199364422144347
3. ? [X0] : (~generous(X0) | ~tall(X0)) => ? [X0] : (curious(X0) & kind(X0)) [input p2]
4. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~creative(X0)) [input p3]
5. ! [X0] : ((~creative(X0) <~> funny(X0)) => (patie... | 0 |
If lucy is either kind or rich then fred is happy or brave.
If paul is brave then someone is both calm and patient and vice versa.
Everyone who is not tall is not kind and vice versa.
If someone is either not curious or not strong then john is either not happy or wise.
Everyone who is not happy or kind is both not rich... | Susan is not wise. | entailment | (((kind(lucy)<~>rich(lucy)))=>((happy(fred)|brave(fred))))&
((brave(paul))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:(~tall(X)<=>~kind(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>((~happy(john)<~>wise(john))))&
(![X]:((~happy(X)|kind(X))<=>(~rich(X)&happy(X))))&
(((~tall(susan)|~old(susan)))=>(?[X]:((~creative(X)|old(X))... | ~wise(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4435904481279034477113534
% SZS output start Proof for 4435904481279034477113534
5. ! [X0] : ((kind(X0) | ~happy(X0)) <=> (happy(X0) & ~rich(X0))) [input p4]
17. happy(susan) <~> wise(susan) [input p16]
22. wise(susan) [input hypothesis]
44. ! [X0] : (((kind(X0) | ~happy(X0)) | (~happy(X0... | 0 |
If someone is not patient or brave then someone is not generous or tall.
If someone is not tall then someone is either generous or curious and vice versa.
Everyone who is quiet or not wise is not calm and vice versa.
Everyone who is humble or wise is both not kind and patient.
Everyone who is either old or not curious ... | Alice is not old. | entailment | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((~generous(X)|tall(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((quiet(X)|~wise(X))<=>~calm(X)))&
(![X]:((humble(X)|wise(X))=>(~kind(X)&patient(X))))&
(![X]:((old(X)<~>~curious(X))<=>(quiet(X)|~quiet(X))))&
(![X]:(~patient(X)=>(brave(X)&~patient(X)))... | ~old(alice) | [
"p2",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6267466234580333230715458
% SZS output start Proof for 6267466234580333230715458
3. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~calm(X0)) [input p2]
8. ! [X0] : (old(X0) => (~kind(X0) & generous(X0))) [input p7]
12. ! [X0] : ((calm(X0) | old(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p11]
1... | 0 |
Everyone who is either not calm or kind is either not curious or not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and generous. Everyone who is both not old and not curious is not happy or curious and ... | Mary is tall. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>generous(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((~kind(X)... | tall(mary) | [
"p2",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5944290137891688859193237
% SZS output start Proof for 5944290137891688859193237
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (curious(X0) | ~happy(X0))) [input p3]
9. ? [X0] : (strong(X0) <~> tall(X0)) => h... | 0 |
If someone is either quiet or not old then someone is not happy.
Everyone who is not brave or calm is brave or not funny and vice versa.
Everyone who is not creative is rich or patient.
If someone is both generous and not brave then someone is both creative and quiet.
If fred is not strong or not funny then paul is old... | John is not quiet. | entailment | ((?[X]:((quiet(X)<~>~old(X))))=>(?[X]:(~happy(X))))&
(![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(... | ~quiet(john) | [
"p5",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2507913935996659501907931
% SZS output start Proof for 2507913935996659501907931
6. ! [X0] : (~happy(X0) <=> (~old(X0) & wise(X0))) [input p5]
8. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~creative(X0) <~> brave(X0))) [input p7]
10. (patient(susan) & ~creative(susan)) <=> ? [X0] : (quiet(X... | 0 |
If someone is both rich and brave then fred is kind or strong. If lucy is both happy and old then someone is both happy and not quiet and vice versa. Everyone who is either not calm or strong is strong and vice versa. Everyone who is not wise or not kind is both quiet and not tall. Everyone who is old is both wise and ... | Mary is brave. | contradiction | ((?[X]:((rich(X)&brave(X))))=>((kind(fred)|strong(fred))))&
(((happy(lucy)&old(lucy)))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~calm(X)<~>strong(X))<=>strong(X)))&
(![X]:((~wise(X)|~kind(X))=>(quiet(X)&~tall(X))))&
(![X]:(old(X)=>(wise(X)&~quiet(X))))&
((?[X]:((~patient(X)<~>patient(X))))<=>(?[X]:(funny(X))))&
(![X]:... | brave(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 617943727500795578434607
% SZS output start Proof for 617943727500795578434607
9. (~curious(mary) | brave(mary)) => (~quiet(paul) & quiet(paul)) [input p8]
22. brave(mary) [input hypothesis]
30. (~quiet(paul) & quiet(paul)) | (curious(mary) & ~brave(mary)) [ennf transformation 9]
96. quie... | 0 |
Everyone who is calm is both not curious and not wise. Everyone who is brave or creative is either not creative or not humble. If john is both not rich and not happy then someone is either curious or happy. Everyone who is tall is both not creative and not quiet. Everyone who is patient is humble or not wise. Everyone ... | Mary is not calm. | neutral | (![X]:(calm(X)=>(~curious(X)&~wise(X))))&
(![X]:((brave(X)|creative(X))=>(~creative(X)<~>~humble(X))))&
(((~rich(john)&~happy(john)))=>(?[X]:((curious(X)<~>happy(X)))))&
(![X]:(tall(X)=>(~creative(X)&~quiet(X))))&
(![X]:(patient(X)=>(humble(X)|~wise(X))))&
(![X]:(~patient(X)=>(curious(X)|~calm(X))))&
((?[X]:(tall(X)))<... | ~calm(mary) | [] | null | 0 |
If someone is either not brave or funny then alice is both calm and not humble. If fred is creative or not wise then john is not patient. Everyone who is not quiet or tall is either brave or rich and vice versa. If fred is both not strong and not creative then someone is either not old or tall. Everyone who is patient ... | Paul is not quiet. | entailment | ((?[X]:((~brave(X)<~>funny(X))))=>((calm(alice)&~humble(alice))))&
(((creative(fred)|~wise(fred)))=>(~patient(john)))&
(![X]:((~quiet(X)|tall(X))<=>(brave(X)<~>rich(X))))&
(((~strong(fred)&~creative(fred)))=>(?[X]:((~old(X)<~>tall(X)))))&
(![X]:(patient(X)=>(~quiet(X)&happy(X))))&
((?[X]:(curious(X)))=>(?[X]:(calm(X)))... | ~quiet(paul) | [
"p4",
"p6",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3159655793507393713481639
% SZS output start Proof for 3159655793507393713481639
5. ! [X0] : (patient(X0) => (happy(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | patient(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11. ! [X0] : ((patient(X0) | ~patient(X0)) <=> funny(X0)) [input... | 0 |
If lucy is strong or not generous then someone is funny.
If paul is curious then susan is either not happy or funny and vice versa.
Everyone who is either not brave or not kind is quiet.
Everyone who is not patient is both patient and not humble and vice versa.
If john is either quiet or curious then someone is either ... | Lucy is strong. | contradiction | (((strong(lucy)|~generous(lucy)))=>(?[X]:(funny(X))))&
((curious(paul))<=>((~happy(susan)<~>funny(susan))))&
(![X]:((~brave(X)<~>~kind(X))=>quiet(X)))&
(![X]:(~patient(X)<=>(patient(X)&~humble(X))))&
(((quiet(john)<~>curious(john)))=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((tall(X)|calm(X))<=>(curious(X)&~generous(X)... | strong(lucy) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3670948497353617761483462
% SZS output start Proof for 3670948497353617761483462
4. ! [X0] : (~patient(X0) <=> (~humble(X0) & patient(X0))) [input p3]
15. ! [X0] : (~humble(X0) <=> strong(X0)) [input p14]
22. strong(lucy) [input hypothesis]
39. ! [X0] : ((~patient(X0) | (humble(X0) | ~pat... | 0 |
Everyone who is both not brave and not kind is both not tall and not creative. If someone is creative then mary is both not humble and humble. Everyone who is strong or tall is funny and vice versa. If mary is either not creative or not quiet then someone is both creative and not curious. If paul is either not strong o... | Paul is patient. | contradiction | (![X]:((~brave(X)&~kind(X))=>(~tall(X)&~creative(X))))&
((?[X]:(creative(X)))=>((~humble(mary)&humble(mary))))&
(![X]:((strong(X)|tall(X))<=>funny(X)))&
(((~creative(mary)<~>~quiet(mary)))=>(?[X]:((creative(X)&~curious(X)))))&
(((~strong(paul)<~>brave(paul)))=>(?[X]:((~tall(X)|happy(X)))))&
(((~brave(lucy)<~>patient(lu... | patient(paul) | [
"p2",
"p6",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8254774775247702464730333
% SZS output start Proof for 8254774775247702464730333
3. ! [X0] : ((tall(X0) | strong(X0)) <=> funny(X0)) [input p2]
7. ! [X0] : ((curious(X0) <~> calm(X0)) <=> (curious(X0) & funny(X0))) [input p6]
10. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> (old(X0) | strong(X0... | 0 |
Everyone who is not happy is humble or not strong and vice versa. Everyone who is not funny is not funny or not curious. Everyone who is quiet is old or not tall. Everyone who is wise is either happy or not calm. If someone is humble or not kind then someone is both rich and not calm. Everyone who is both tall and brav... | Lucy is tall. | entailment | (![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
(![X]:(~funny(X)=>(~funny(X)|~curious(X))))&
(![X]:(quiet(X)=>(old(X)|~tall(X))))&
(![X]:(wise(X)=>(happy(X)<~>~calm(X))))&
((?[X]:((humble(X)|~kind(X))))=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:((tall(X)&brave(X))=>(patient(X)&strong(X))))&
(((~strong(fred)<~>~old(fred)))=>(?[... | tall(lucy) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7033217050869444544526643
% SZS output start Proof for 7033217050869444544526643
16. ! [X0] : ((~creative(X0) <~> ~tall(X0)) => (tall(X0) & ~humble(X0))) [input p15]
20. creative(lucy) [input p19]
25. ~tall(lucy) [input hypothesis]
45. ! [X0] : ((tall(X0) & ~humble(X0)) | (~creative(X0) <... | 0 |
Everyone who is either not rich or generous is both calm and not strong and vice versa. If fred is not calm or calm then john is both happy and not old and vice versa. Everyone who is both generous and wise is either old or creative. If paul is either not happy or not creative then someone is both not quiet and brave a... | Fred is curious. | contradiction | (![X]:((~rich(X)<~>generous(X))<=>(calm(X)&~strong(X))))&
(((~calm(fred)|calm(fred)))<=>((happy(john)&~old(john))))&
(![X]:((generous(X)&wise(X))=>(old(X)<~>creative(X))))&
(((~happy(paul)<~>~creative(paul)))<=>(?[X]:((~quiet(X)&brave(X)))))&
(((funny(alice)|~funny(alice)))=>((~humble(lucy)|calm(lucy))))&
(((~wise(alic... | curious(fred) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1263848767513000409277040
% SZS output start Proof for 1263848767513000409277040
12. ! [X0] : (creative(X0) <=> (kind(X0) & tall(X0))) [input p11]
15. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (~curious(X0) & calm(X0))) [input p14]
24. curious(fred) [input hypothesis]
50. ! [X0] : ((creati... | 0 |
Everyone who is tall or patient is either not tall or not patient.
If someone is not funny or generous then someone is either not rich or rich and vice versa.
Everyone who is not humble or brave is rich and vice versa.
If paul is both not patient and strong then someone is both happy and not curious.
If someone is both... | Fred is not kind. | entailment | (![X]:((tall(X)|patient(X))=>(~tall(X)<~>~patient(X))))&
((?[X]:((~funny(X)|generous(X))))<=>(?[X]:((~rich(X)<~>rich(X)))))&
(![X]:((~humble(X)|brave(X))<=>rich(X)))&
(((~patient(paul)&strong(paul)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:((wise(X)&~calm(X))))=>((~brave(paul)&~generous(paul))))&
(((~old(john)|tall(j... | ~kind(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3899393369624548555860434
% SZS output start Proof for 3899393369624548555860434
8. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (curious(X0) | ~curious(X0))) [input p7]
24. kind(fred) [input hypothesis]
50. ! [X0] : (((~kind(X0) & ~old(X0)) | (~curious(X0) & curious(X0))) & ((curious(X0) | ~curi... | 0 |
If paul is not wise or humble then mary is not wise or not humble.
If someone is either kind or old then fred is either not creative or patient and vice versa.
Everyone who is generous is not happy or not generous.
Everyone who is both not patient and not old is either calm or generous and vice versa.
Everyone who is r... | Mary is patient. | contradiction | (((~wise(paul)|humble(paul)))=>((~wise(mary)|~humble(mary))))&
((?[X]:((kind(X)<~>old(X))))<=>((~creative(fred)<~>patient(fred))))&
(![X]:(generous(X)=>(~happy(X)|~generous(X))))&
(![X]:((~patient(X)&~old(X))<=>(calm(X)<~>generous(X))))&
(![X]:(rich(X)<=>curious(X)))&
(![X]:(~patient(X)=>(calm(X)|quiet(X))))&
((?[X]:((... | patient(mary) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2829251077580948592705374
% SZS output start Proof for 2829251077580948592705374
8. ! [X0] : ((~strong(X0) & patient(X0)) <=> (strong(X0) <~> funny(X0))) [input p7]
10. ! [X0] : (funny(X0) <=> (~patient(X0) & ~quiet(X0))) [input p9]
25. patient(mary) [input hypothesis]
52. ! [X0] : (((~st... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.