premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is quiet then someone is not happy. Everyone who is kind is tall or not tall and vice versa. Everyone who is curious is both humble and not kind and vice versa. If someone is quiet or tall then someone is not creative and vice versa. Everyone who is either patient or not patient is not brave and vice versa. Eve... | Alice is not wise. | contradiction | ((quiet(mary))=>(?[X]:(~happy(X))))&
(![X]:(kind(X)<=>(tall(X)|~tall(X))))&
(![X]:(curious(X)<=>(humble(X)&~kind(X))))&
((?[X]:((quiet(X)|tall(X))))<=>(?[X]:(~creative(X))))&
(![X]:((patient(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((brave(X)|strong(X))=>~calm(X)))&
((?[X]:((~wise(X)|patient(X))))=>(?[X]:(~rich(X))))&
(!... | ~wise(alice) | [
"p1",
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1644315564410694310325634
% SZS output start Proof for 1644315564410694310325634
2. ! [X0] : (kind(X0) <=> (~tall(X0) | tall(X0))) [input p1]
3. ! [X0] : (curious(X0) <=> (~kind(X0) & humble(X0))) [input p2]
5. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> ~brave(X0)) [input p4]
13. ! [X0]... | 0 |
Everyone who is either not old or old is both brave and kind and vice versa. Everyone who is happy or not patient is not patient. Everyone who is both not quiet and not brave is not patient or funny. Everyone who is both not calm and creative is not humble or not creative and vice versa. Everyone who is either wise or ... | Alice is strong. | entailment | (![X]:((~old(X)<~>old(X))<=>(brave(X)&kind(X))))&
(![X]:((happy(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)&~brave(X))=>(~patient(X)|funny(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)|~creative(X))))&
(![X]:((wise(X)<~>~quiet(X))=>~patient(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((... | strong(alice) | [
"p0",
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6906114981021260634167509
% SZS output start Proof for 6906114981021260634167509
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> (kind(X0) & brave(X0))) [input p0]
4. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~creative(X0) | ~humble(X0))) [input p3]
6. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> ... | 0 |
Everyone who is not quiet is not kind or quiet and vice versa.
Everyone who is old or happy is either not patient or quiet.
Everyone who is either not wise or wise is both funny and not patient.
Everyone who is either quiet or tall is rich or quiet.
If mary is both not humble and calm then someone is not calm or patien... | Susan is not curious. | contradiction | (![X]:(~quiet(X)<=>(~kind(X)|quiet(X))))&
(![X]:((old(X)|happy(X))=>(~patient(X)<~>quiet(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~patient(X))))&
(![X]:((quiet(X)<~>tall(X))=>(rich(X)|quiet(X))))&
(((~humble(mary)&calm(mary)))=>(?[X]:((~calm(X)|patient(X)))))&
(((~patient(lucy)<~>~generous(lucy)))<=>((~kind(lucy)&... | ~curious(susan) | [
"p0",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8908903422381081292183330
% SZS output start Proof for 8908903422381081292183330
1. ! [X0] : (~quiet(X0) <=> (quiet(X0) | ~kind(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~patient(X0) & funny(X0))) [input p2]
7. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (old(X0) | ~quiet... | 0 |
If john is patient or not quiet then someone is humble and vice versa.
Everyone who is either tall or generous is both tall and not strong and vice versa.
If someone is not old then someone is not rich or wise.
Everyone who is not humble or wise is creative or kind and vice versa.
Everyone who is either quiet or strong... | Susan is happy. | neutral | (((patient(john)|~quiet(john)))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)<~>generous(X))<=>(tall(X)&~strong(X))))&
((?[X]:(~old(X)))=>(?[X]:((~rich(X)|wise(X)))))&
(![X]:((~humble(X)|wise(X))<=>(creative(X)|kind(X))))&
(![X]:((quiet(X)<~>strong(X))=>(~calm(X)|humble(X))))&
((tall(lucy))<=>((~patient(paul)&generous(paul)))... | happy(susan) | [] | null | 0 |
If someone is either wise or quiet then someone is both not rich and old.
Everyone who is both not tall and not generous is either not strong or happy.
Everyone who is happy is not quiet and vice versa.
If someone is not patient or funny then mary is either not brave or strong.
If alice is not rich then someone is stro... | Lucy is not generous. | contradiction | ((?[X]:((wise(X)<~>quiet(X))))=>(?[X]:((~rich(X)&old(X)))))&
(![X]:((~tall(X)&~generous(X))=>(~strong(X)<~>happy(X))))&
(![X]:(happy(X)<=>~quiet(X)))&
((?[X]:((~patient(X)|funny(X))))=>((~brave(mary)<~>strong(mary))))&
((~rich(alice))=>(?[X]:(strong(X))))&
(((old(mary)|~rich(mary)))=>(?[X]:((creative(X)<~>patient(X))))... | ~generous(lucy) | [
"p2",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2653016259686201581944596
% SZS output start Proof for 2653016259686201581944596
3. ! [X0] : (happy(X0) <=> ~quiet(X0)) [input p2]
8. ! [X0] : ((creative(X0) | wise(X0)) <=> (brave(X0) & happy(X0))) [input p7]
10. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (~calm(X0) & ~happy(X0))) [input p... | 0 |
If fred is both not patient and generous then someone is not kind or quiet and vice versa. If john is creative then someone is not calm or tall. Everyone who is both not rich and strong is either not strong or kind and vice versa. Everyone who is either not quiet or happy is not wise or generous. Everyone who is both o... | John is not strong. | contradiction | (((~patient(fred)&generous(fred)))<=>(?[X]:((~kind(X)|quiet(X)))))&
((creative(john))=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:((~rich(X)&strong(X))<=>(~strong(X)<~>kind(X))))&
(![X]:((~quiet(X)<~>happy(X))=>(~wise(X)|generous(X))))&
(![X]:((old(X)&happy(X))<=>~wise(X)))&
(![X]:(~quiet(X)=>~wise(X)))&
((~tall(fred))=>(?[X]... | ~strong(john) | [
"p4",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1044126448794147464560303
% SZS output start Proof for 1044126448794147464560303
5. ! [X0] : ((happy(X0) & old(X0)) <=> ~wise(X0)) [input p4]
9. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (wise(X0) | ~old(X0))) [input p8]
19. ~wise(john) <~> patient(john) [input p18]
24. ~strong(john) [inp... | 0 |
If someone is calm or not patient then paul is both not curious and funny.
Everyone who is happy is either not brave or tall and vice versa.
If someone is not humble then someone is quiet or wise and vice versa.
If someone is either not kind or not strong then someone is either funny or old and vice versa.
If someone i... | John is kind. | contradiction | ((?[X]:((calm(X)|~patient(X))))=>((~curious(paul)&funny(paul))))&
(![X]:(happy(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>(?[X]:((funny(X)<~>old(X)))))&
((?[X]:(humble(X)))<=>((~generous(alice)|~strong(alice))))&
(![X]:((wise(X)&~strong(X))=>(~... | kind(john) | [
"p1",
"p7",
"p8",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6471399239573809627329361
% SZS output start Proof for 6471399239573809627329361
2. ! [X0] : (happy(X0) <=> (~brave(X0) <~> tall(X0))) [input p1]
8. ! [X0] : (tall(X0) <=> (curious(X0) | strong(X0))) [input p7]
9. ! [X0] : (kind(X0) <=> (happy(X0) <~> ~tall(X0))) [input p8]
19. ~brave(joh... | 0 |
Everyone who is not happy is either not quiet or kind. Everyone who is not calm or not patient is not generous. If fred is both patient and kind then someone is not wise and vice versa. Everyone who is either not tall or not calm is brave. Everyone who is not brave is not curious or humble and vice versa. If someone is... | Paul is not creative. | contradiction | (![X]:(~happy(X)=>(~quiet(X)<~>kind(X))))&
(![X]:((~calm(X)|~patient(X))=>~generous(X)))&
(((patient(fred)&kind(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((~tall(X)<~>~calm(X))=>brave(X)))&
(![X]:(~brave(X)<=>(~curious(X)|humble(X))))&
((?[X]:((strong(X)&creative(X))))<=>(?[X]:(~creative(X))))&
((~humble(john))<=>(?[X]:((~hu... | ~creative(paul) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1843284165730332039263841
% SZS output start Proof for 1843284165730332039263841
5. ! [X0] : (~brave(X0) <=> (humble(X0) | ~curious(X0))) [input p4]
11. ? [X0] : (~creative(X0) | wise(X0)) => ? [X0] : (~curious(X0) & brave(X0)) [input p10]
23. ~creative(paul) [input hypothesis]
25. ? [X0]... | 0 |
If someone is not rich or quiet then john is not tall or not patient.
If john is curious or happy then someone is creative or not curious and vice versa.
If someone is tall or not funny then paul is not wise and vice versa.
Everyone who is not humble is not funny or strong.
If paul is rich or patient then someone is bo... | John is not calm. | entailment | ((?[X]:((~rich(X)|quiet(X))))=>((~tall(john)|~patient(john))))&
(((curious(john)|happy(john)))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((tall(X)|~funny(X))))<=>(~wise(paul)))&
(![X]:(~humble(X)=>(~funny(X)|strong(X))))&
(((rich(paul)|patient(paul)))=>(?[X]:((rich(X)&brave(X)))))&
(![X]:(curious(X)<=>(~calm(X)&kin... | ~calm(john) | [
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 738530428267279138725870
% SZS output start Proof for 738530428267279138725870
6. ! [X0] : (curious(X0) <=> (kind(X0) & ~calm(X0))) [input p5]
7. ! [X0] : (~curious(X0) => rich(X0)) [input p6]
8. ! [X0] : ((~funny(X0) | funny(X0)) <=> ~rich(X0)) [input p7]
23. calm(john) [input hypothesis... | 0 |
Everyone who is strong is either kind or happy and vice versa.
Everyone who is both calm and not brave is not funny or not brave.
Everyone who is not creative is not patient.
Everyone who is both funny and not tall is both kind and not brave.
If someone is both rich and not creative then paul is both not calm and wise ... | Susan is calm. | contradiction | (![X]:(strong(X)<=>(kind(X)<~>happy(X))))&
(![X]:((calm(X)&~brave(X))=>(~funny(X)|~brave(X))))&
(![X]:(~creative(X)=>~patient(X)))&
(![X]:((funny(X)&~tall(X))=>(kind(X)&~brave(X))))&
((?[X]:((rich(X)&~creative(X))))<=>((~calm(paul)&wise(paul))))&
(((~funny(paul)|old(paul)))<=>(~rich(fred)))&
((?[X]:(quiet(X)))<=>((funn... | calm(susan) | [
"p6",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5761405518174909224909985
% SZS output start Proof for 5761405518174909224909985
7. ? [X0] : quiet(X0) <=> (~old(susan) & funny(susan)) [input p6]
12. (quiet(alice) & ~kind(alice)) <=> ? [X0] : (old(X0) | patient(X0)) [input p11]
16. ! [X0] : ((old(X0) <~> calm(X0)) => (kind(X0) & old(X0)... | 0 |
Everyone who is either brave or not curious is not funny or rich and vice versa.
Everyone who is either strong or tall is both not patient and generous.
If someone is not curious then someone is not quiet.
Everyone who is either not brave or rich is strong and vice versa.
If someone is not creative then someone is not ... | Mary is not funny. | entailment | (![X]:((brave(X)<~>~curious(X))<=>(~funny(X)|rich(X))))&
(![X]:((strong(X)<~>tall(X))=>(~patient(X)&generous(X))))&
((?[X]:(~curious(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)<~>rich(X))<=>strong(X)))&
((?[X]:(~creative(X)))=>(?[X]:((~creative(X)|quiet(X)))))&
(![X]:(calm(X)=>~funny(X)))&
(((~brave(lucy)|patient(lucy... | ~funny(mary) | [
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5019523165503272505925195
% SZS output start Proof for 5019523165503272505925195
6. ! [X0] : (calm(X0) => ~funny(X0)) [input p5]
13. ! [X0] : ((happy(X0) | ~calm(X0)) <=> (happy(X0) & humble(X0))) [input p12]
19. ~happy(mary) [input p18]
25. funny(mary) [input hypothesis]
33. ! [X0] : (~f... | 0 |
If lucy is not generous then someone is generous and vice versa. If paul is both old and kind then someone is not humble and vice versa. If someone is both funny and not kind then someone is either not patient or not creative and vice versa. Everyone who is both not tall and old is both strong and calm. If alice is hap... | Alice is not humble. | entailment | ((~generous(lucy))<=>(?[X]:(generous(X))))&
(((old(paul)&kind(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((funny(X)&~kind(X))))<=>(?[X]:((~patient(X)<~>~creative(X)))))&
(![X]:((~tall(X)&old(X))=>(strong(X)&calm(X))))&
(((happy(alice)|generous(alice)))=>(?[X]:(rich(X))))&
(![X]:(~humble(X)<=>(~patient(X)|humble(X))))&
(((g... | ~humble(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5992032952391047645203061
% SZS output start Proof for 5992032952391047645203061
6. ! [X0] : (~humble(X0) <=> (humble(X0) | ~patient(X0))) [input p5]
24. humble(alice) [input hypothesis]
55. ! [X0] : ((~humble(X0) | (~humble(X0) & patient(X0))) & ((humble(X0) | ~patient(X0)) | humble(X0))... | 0 |
Everyone who is humble or not brave is brave. Everyone who is not patient or not funny is both not creative and funny. Everyone who is curious is both curious and old. If fred is both funny and creative then alice is not rich. If someone is curious then someone is not creative. Everyone who is not strong is either not ... | Lucy is happy. | entailment | (![X]:((humble(X)|~brave(X))=>brave(X)))&
(![X]:((~patient(X)|~funny(X))=>(~creative(X)&funny(X))))&
(![X]:(curious(X)=>(curious(X)&old(X))))&
(((funny(fred)&creative(fred)))=>(~rich(alice)))&
((?[X]:(curious(X)))=>(?[X]:(~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)<~>calm(X))))&
(((~strong(fred)|~quiet(fred)))<=>((~... | happy(lucy) | [
"p0",
"p1",
"p5",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7930783671628100993117841
% SZS output start Proof for 7930783671628100993117841
1. ! [X0] : ((~brave(X0) | humble(X0)) => brave(X0)) [input p0]
2. ! [X0] : ((~funny(X0) | ~patient(X0)) => (funny(X0) & ~creative(X0))) [input p1]
6. ! [X0] : (~strong(X0) <=> (~kind(X0) <~> calm(X0))) [inpu... | 0 |
If fred is either quiet or not tall then mary is either not funny or quiet. Everyone who is not old or not strong is both curious and calm and vice versa. If someone is either not wise or generous then someone is either kind or not old and vice versa. If someone is humble then susan is old or not tall and vice versa. E... | Paul is wise. | neutral | (((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(humble(X)))<=>((old(susan)|~tall(susan))))&
(![X]:((tall(X)&patient(X))=>(tall(X)|~rich(X))))&
(![X]:((~happy(X)|~curious(X))... | wise(paul) | [] | null | 0 |
Everyone who is either old or generous is not calm and vice versa.
If someone is both not old and not rich then someone is brave and vice versa.
Everyone who is kind is not quiet.
Everyone who is both not rich and not patient is both brave and not generous.
If susan is creative or wise then someone is not calm.
If some... | Susan is curious. | contradiction | (![X]:((old(X)<~>generous(X))<=>~calm(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&~generous(X))))&
(((creative(susan)|wise(susan)))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((wise(X)<~>hum... | curious(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3012773771276711121940408
% SZS output start Proof for 3012773771276711121940408
13. ! [X0] : ((curious(X0) | generous(X0)) => ~curious(X0)) [input p12]
25. curious(susan) [input hypothesis]
42. ! [X0] : (~curious(X0) | (~curious(X0) & ~generous(X0))) [ennf transformation 13]
115. ~curiou... | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa.
Everyone who is tall or brave is not kind.
If someone is either generous or kind then alice is either strong or not strong.
Everyone who is calm is funny.
Everyone who is funny or not wise is either wise or quiet.
Everyone who is ei... | Fred is not calm. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | ~calm(fred) | [
"p3",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 436520330840421383051408
% SZS output start Proof for 436520330840421383051408
4. ! [X0] : (calm(X0) => funny(X0)) [input p3]
11. ! [X0] : ((~humble(X0) | funny(X0)) <=> (generous(X0) | ~calm(X0))) [input p10]
19. ~generous(fred) & ~rich(fred) [input p18]
23. calm(fred) [input hypothesis]... | 0 |
If someone is not tall or wise then someone is not tall or brave and vice versa.
Everyone who is patient is either not brave or calm.
Everyone who is either not calm or not kind is either kind or not old.
Everyone who is both curious and rich is wise and vice versa.
Everyone who is either kind or not quiet is either pa... | Lucy is not rich. | neutral | ((?[X]:((~tall(X)|wise(X))))<=>(?[X]:((~tall(X)|brave(X)))))&
(![X]:(patient(X)=>(~brave(X)<~>calm(X))))&
(![X]:((~calm(X)<~>~kind(X))=>(kind(X)<~>~old(X))))&
(![X]:((curious(X)&rich(X))<=>wise(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(patient(X)<~>~humble(X))))&
((?[X]:(~creative(X)))<=>((~tall(lucy)<~>~patient(lucy))))&
... | ~rich(lucy) | [] | null | 0 |
Everyone who is both creative and not kind is not tall or not rich and vice versa.
If paul is either not kind or not rich then someone is not rich or not humble.
If someone is kind or brave then mary is happy or rich.
Everyone who is not creative is either calm or not curious and vice versa.
If lucy is not curious then... | Paul is not strong. | neutral | (![X]:((creative(X)&~kind(X))<=>(~tall(X)|~rich(X))))&
(((~kind(paul)<~>~rich(paul)))=>(?[X]:((~rich(X)|~humble(X)))))&
((?[X]:((kind(X)|brave(X))))=>((happy(mary)|rich(mary))))&
(![X]:(~creative(X)<=>(calm(X)<~>~curious(X))))&
((~curious(lucy))<=>(?[X]:((~happy(X)|strong(X)))))&
((?[X]:((brave(X)&~old(X))))<=>(?[X]:((... | ~strong(paul) | [] | null | 0 |
If someone is both not happy and not humble then fred is humble or not humble. If susan is both not old and not brave then alice is not calm or tall and vice versa. If alice is not creative or not rich then alice is either not tall or rich and vice versa. If someone is not patient or not funny then paul is both calm an... | Alice is old. | entailment | ((?[X]:((~happy(X)&~humble(X))))=>((humble(fred)|~humble(fred))))&
(((~old(susan)&~brave(susan)))<=>((~calm(alice)|tall(alice))))&
(((~creative(alice)|~rich(alice)))<=>((~tall(alice)<~>rich(alice))))&
((?[X]:((~patient(X)|~funny(X))))=>((calm(paul)&brave(paul))))&
(![X]:(wise(X)=>(~curious(X)&humble(X))))&
(![X]:((rich... | old(alice) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5480522097192844113567650
% SZS output start Proof for 5480522097192844113567650
3. (~rich(alice) | ~creative(alice)) <=> (~tall(alice) <~> rich(alice)) [input p2]
5. ! [X0] : (wise(X0) => (humble(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> patient(X0)) <=> (tall(X0) & pati... | 0 |
Everyone who is calm is both patient and not funny and vice versa. Everyone who is not patient is not humble or not rich and vice versa. Everyone who is not funny or creative is either not happy or not calm. If susan is not wise then someone is old and vice versa. If mary is both old and not patient then someone is eit... | Susan is curious. | contradiction | (![X]:(calm(X)<=>(patient(X)&~funny(X))))&
(![X]:(~patient(X)<=>(~humble(X)|~rich(X))))&
(![X]:((~funny(X)|creative(X))=>(~happy(X)<~>~calm(X))))&
((~wise(susan))<=>(?[X]:(old(X))))&
(((old(mary)&~patient(mary)))<=>(?[X]:((~funny(X)<~>humble(X)))))&
((~old(mary))<=>((~funny(mary)<~>~brave(mary))))&
((?[X]:((~strong(X)<... | curious(susan) | [
"p0",
"p2",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4931527807889145725542298
% SZS output start Proof for 4931527807889145725542298
1. ! [X0] : (calm(X0) <=> (~funny(X0) & patient(X0))) [input p0]
3. ! [X0] : ((creative(X0) | ~funny(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
8. ! [X0] : (curious(X0) => (~calm(X0) <~> funny(X0))) [inpu... | 0 |
Everyone who is either calm or not curious is creative or wise and vice versa. If someone is either not patient or not funny then someone is not tall or quiet and vice versa. Everyone who is both kind and not rich is not rich. Everyone who is both not creative and not curious is not patient and vice versa. Everyone who... | Susan is not brave. | neutral | (![X]:((calm(X)<~>~curious(X))<=>(creative(X)|wise(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:((kind(X)&~rich(X))=>~rich(X)))&
(![X]:((~creative(X)&~curious(X))<=>~patient(X)))&
(![X]:(generous(X)<=>(curious(X)<~>~calm(X))))&
(![X]:((humble(X)<~>~patient(X))<=>humble(X)))&
((?[X]:... | ~brave(susan) | [] | null | 0 |
Everyone who is not patient is both wise and not generous and vice versa. Everyone who is calm or not quiet is either not curious or not calm and vice versa. Everyone who is not quiet is either not wise or not brave. Everyone who is either tall or patient is not wise and vice versa. Everyone who is both not quiet and k... | Paul is not wise. | entailment | (![X]:(~patient(X)<=>(wise(X)&~generous(X))))&
(![X]:((calm(X)|~quiet(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:(~quiet(X)=>(~wise(X)<~>~brave(X))))&
(![X]:((tall(X)<~>patient(X))<=>~wise(X)))&
(![X]:((~quiet(X)&kind(X))=>(~wise(X)<~>~old(X))))&
(![X]:((curious(X)|~quiet(X))<=>(quiet(X)|brave(X))))&
(![X]:((tall(X)<~>gen... | ~wise(paul) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2632639608419978387449344
% SZS output start Proof for 2632639608419978387449344
2. ! [X0] : ((~quiet(X0) | calm(X0)) <=> (~curious(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : (~quiet(X0) => (~wise(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (brave(X0) | qui... | 0 |
If alice is both creative and tall then lucy is not brave.
Everyone who is generous or not generous is not patient or generous.
Everyone who is both not old and not patient is old.
If someone is not humble then someone is both brave and generous.
Everyone who is not happy is not rich.
If someone is happy then someone i... | Fred is wise. | neutral | (((creative(alice)&tall(alice)))=>(~brave(lucy)))&
(![X]:((generous(X)|~generous(X))=>(~patient(X)|generous(X))))&
(![X]:((~old(X)&~patient(X))=>old(X)))&
((?[X]:(~humble(X)))=>(?[X]:((brave(X)&generous(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((~quiet(X)&strong(X)))))&
(![X]:((tall(X)&rich(X))<=... | wise(fred) | [] | null | 0 |
If fred is wise or not rich then someone is both humble and not wise and vice versa.
If fred is not generous then fred is not kind or calm.
If someone is funny or rich then someone is not quiet and vice versa.
Everyone who is funny is happy or not creative.
If someone is not calm then someone is tall and vice versa.
Ev... | John is generous. | entailment | (((wise(fred)|~rich(fred)))<=>(?[X]:((humble(X)&~wise(X)))))&
((~generous(fred))=>((~kind(fred)|calm(fred))))&
((?[X]:((funny(X)|rich(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(![X]:((~humble(X)|~tall(X))<=>(humble(X)&~happy(X))))&
((?[X]:(funny(X))... | generous(john) | [
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5705311646366374099207759
% SZS output start Proof for 5705311646366374099207759
3. ? [X0] : (rich(X0) | funny(X0)) <=> ? [X0] : ~quiet(X0) [input p2]
6. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [input p5]
8. (creative(susan) & ~quiet(susan)) <=> ? [X0] : (~quiet... | 0 |
Everyone who is not tall or happy is not humble and vice versa. If paul is patient then alice is either wise or not wise. Everyone who is funny is not old. Everyone who is either patient or not tall is strong or not calm. Everyone who is not patient is wise or not old and vice versa. If fred is not curious then john is... | John is kind. | neutral | (![X]:((~tall(X)|happy(X))<=>~humble(X)))&
((patient(paul))=>((wise(alice)<~>~wise(alice))))&
(![X]:(funny(X)=>~old(X)))&
(![X]:((patient(X)<~>~tall(X))=>(strong(X)|~calm(X))))&
(![X]:(~patient(X)<=>(wise(X)|~old(X))))&
((~curious(fred))<=>((strong(john)<~>~calm(john))))&
(![X]:((~creative(X)<~>old(X))=>(curious(X)<~>~... | kind(john) | [] | null | 0 |
If someone is both not calm and funny then someone is either strong or tall. If alice is not funny or not quiet then mary is either tall or strong. If someone is brave then paul is either rich or strong and vice versa. If someone is either funny or not quiet then john is either not humble or not generous. Everyone who ... | Paul is quiet. | contradiction | ((?[X]:((~calm(X)&funny(X))))=>(?[X]:((strong(X)<~>tall(X)))))&
(((~funny(alice)|~quiet(alice)))=>((tall(mary)<~>strong(mary))))&
((?[X]:(brave(X)))<=>((rich(paul)<~>strong(paul))))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~humble(john)<~>~generous(john))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)&generous(X))))&
(![X]:((~ca... | quiet(paul) | [
"p5",
"p8",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 796212240327739742267438
% SZS output start Proof for 796212240327739742267438
6. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~humble(X0) & old(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0) & tall(X0))) [input p8]
12. ? [X0] : old(X0) <=> ? [X0] : (~tall(X0) & ~calm(X... | 0 |
If someone is both strong and not strong then someone is curious or wise and vice versa. Everyone who is curious is either not curious or patient. Everyone who is kind is both old and not happy and vice versa. Everyone who is tall or not generous is not curious and vice versa. If alice is generous then lucy is both pat... | Mary is not strong. | neutral | ((?[X]:((strong(X)&~strong(X))))<=>(?[X]:((curious(X)|wise(X)))))&
(![X]:(curious(X)=>(~curious(X)<~>patient(X))))&
(![X]:(kind(X)<=>(old(X)&~happy(X))))&
(![X]:((tall(X)|~generous(X))<=>~curious(X)))&
((generous(alice))=>((patient(lucy)&old(lucy))))&
(![X]:(old(X)<=>(funny(X)|humble(X))))&
((~rich(mary))=>((curious(al... | ~strong(mary) | [] | null | 0 |
Everyone who is old or not generous is rich.
Everyone who is not happy is strong or not old and vice versa.
If john is both rich and strong then john is generous.
Everyone who is either brave or kind is old or calm.
Everyone who is either not happy or old is not curious.
If susan is funny then susan is not rich or not ... | Lucy is not calm. | neutral | (![X]:((old(X)|~generous(X))=>rich(X)))&
(![X]:(~happy(X)<=>(strong(X)|~old(X))))&
(((rich(john)&strong(john)))=>(generous(john)))&
(![X]:((brave(X)<~>kind(X))=>(old(X)|calm(X))))&
(![X]:((~happy(X)<~>old(X))=>~curious(X)))&
((funny(susan))=>((~rich(susan)|~generous(susan))))&
((quiet(paul))<=>(?[X]:((~tall(X)|funny(X)... | ~calm(lucy) | [] | null | 0 |
Everyone who is curious is either curious or not curious.
Everyone who is old is both not calm and funny and vice versa.
If lucy is both not funny and not creative then someone is not humble or not kind and vice versa.
If someone is either strong or wise then someone is quiet.
Everyone who is either calm or not curious... | John is not old. | neutral | (![X]:(curious(X)=>(curious(X)<~>~curious(X))))&
(![X]:(old(X)<=>(~calm(X)&funny(X))))&
(((~funny(lucy)&~creative(lucy)))<=>(?[X]:((~humble(X)|~kind(X)))))&
((?[X]:((strong(X)<~>wise(X))))=>(?[X]:(quiet(X))))&
(![X]:((calm(X)<~>~curious(X))=>(~quiet(X)&humble(X))))&
((?[X]:((patient(X)<~>generous(X))))<=>((strong(alice... | ~old(john) | [] | null | 0 |
Everyone who is both strong and not patient is brave or not funny. Everyone who is both not old and not creative is calm or tall and vice versa. If someone is either wise or happy then susan is not creative or not patient and vice versa. If someone is either not calm or quiet then someone is either not curious or brave... | Fred is curious. | neutral | (![X]:((strong(X)&~patient(X))=>(brave(X)|~funny(X))))&
(![X]:((~old(X)&~creative(X))<=>(calm(X)|tall(X))))&
((?[X]:((wise(X)<~>happy(X))))<=>((~creative(susan)|~patient(susan))))&
((?[X]:((~calm(X)<~>quiet(X))))<=>(?[X]:((~curious(X)<~>brave(X)))))&
(![X]:((~patient(X)|~quiet(X))=>(humble(X)&~patient(X))))&
(((brave(j... | curious(fred) | [] | null | 0 |
If lucy is either curious or happy then someone is not old or not funny and vice versa. Everyone who is not tall is wise and vice versa. Everyone who is either not creative or creative is patient. Everyone who is curious is not old and vice versa. Everyone who is both not quiet and wise is strong or wise and vice versa... | Alice is humble. | neutral | (((curious(lucy)<~>happy(lucy)))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:(~tall(X)<=>wise(X)))&
(![X]:((~creative(X)<~>creative(X))=>patient(X)))&
(![X]:(curious(X)<=>~old(X)))&
(![X]:((~quiet(X)&wise(X))<=>(strong(X)|wise(X))))&
((?[X]:((~strong(X)|rich(X))))<=>((~creative(fred)&funny(fred))))&
(((~creative(alice)|~cur... | humble(alice) | [] | null | 0 |
Everyone who is both not happy and tall is generous or not creative. If someone is not old then fred is not calm and vice versa. Everyone who is not brave or old is either tall or quiet. Everyone who is not humble is both not strong and curious. Everyone who is curious is old or quiet. If susan is both not generous and... | Alice is not tall. | contradiction | (![X]:((~happy(X)&tall(X))=>(generous(X)|~creative(X))))&
((?[X]:(~old(X)))<=>(~calm(fred)))&
(![X]:((~brave(X)|old(X))=>(tall(X)<~>quiet(X))))&
(![X]:(~humble(X)=>(~strong(X)&curious(X))))&
(![X]:(curious(X)=>(old(X)|quiet(X))))&
(((~generous(susan)&generous(susan)))<=>((~humble(mary)&~quiet(mary))))&
(![X]:((~strong(... | ~tall(alice) | [
"p2",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 393041367295308829690647
% SZS output start Proof for 393041367295308829690647
3. ! [X0] : ((old(X0) | ~brave(X0)) => (tall(X0) <~> quiet(X0))) [input p2]
11. ! [X0] : (brave(X0) <=> quiet(X0)) [input p10]
23. ~brave(alice) [input p22]
25. ~tall(alice) [input hypothesis]
30. ! [X0] : ((ta... | 0 |
Everyone who is both not kind and not rich is either tall or kind.
If fred is brave or not humble then someone is not funny and vice versa.
If alice is rich then someone is either not old or humble and vice versa.
If susan is not humble then someone is not tall or funny.
If someone is not strong or funny then someone i... | Susan is happy. | contradiction | (![X]:((~kind(X)&~rich(X))=>(tall(X)<~>kind(X))))&
(((brave(fred)|~humble(fred)))<=>(?[X]:(~funny(X))))&
((rich(alice))<=>(?[X]:((~old(X)<~>humble(X)))))&
((~humble(susan))=>(?[X]:((~tall(X)|funny(X)))))&
((?[X]:((~strong(X)|funny(X))))=>(?[X]:((kind(X)&rich(X)))))&
((?[X]:((calm(X)&~generous(X))))<=>(?[X]:((~funny(X)|... | happy(susan) | [
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5565740332168709699654604
% SZS output start Proof for 5565740332168709699654604
8. ! [X0] : (~strong(X0) <=> (strong(X0) & wise(X0))) [input p7]
9. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~quiet(X0) <~> patient(X0))) [input p8]
10. ! [X0] : (old(X0) <=> (brave(X0) <~> quiet(X0))) [input p9... | 0 |
Everyone who is quiet is not generous and vice versa. Everyone who is generous is funny and vice versa. If susan is creative or quiet then someone is not patient. If someone is both generous and not generous then someone is either not kind or not tall. If susan is not quiet or brave then someone is either not strong or... | Alice is quiet. | contradiction | (![X]:(quiet(X)<=>~generous(X)))&
(![X]:(generous(X)<=>funny(X)))&
(((creative(susan)|quiet(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((generous(X)&~generous(X))))=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~quiet(susan)|brave(susan)))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((quiet(X)<~>~old(X)))))... | quiet(alice) | [
"p0",
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4605609587870723309128606
% SZS output start Proof for 4605609587870723309128606
1. ! [X0] : (quiet(X0) <=> ~generous(X0)) [input p0]
2. ! [X0] : (generous(X0) <=> funny(X0)) [input p1]
7. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (~strong(X0) | ~generous(X0))) [input p6]
23. quiet(alice) ... | 0 |
Everyone who is happy or not rich is not wise.
If john is both creative and not strong then mary is both not kind and quiet.
Everyone who is rich or quiet is both creative and happy and vice versa.
Everyone who is both happy and not creative is both not kind and not wise and vice versa.
If someone is either humble or n... | Lucy is not kind. | contradiction | (![X]:((happy(X)|~rich(X))=>~wise(X)))&
(((creative(john)&~strong(john)))=>((~kind(mary)&quiet(mary))))&
(![X]:((rich(X)|quiet(X))<=>(creative(X)&happy(X))))&
(![X]:((happy(X)&~creative(X))<=>(~kind(X)&~wise(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)&patient(X))=>(~humble(X)|... | ~kind(lucy) | [
"p0",
"p2",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3606437127165942394711872
% SZS output start Proof for 3606437127165942394711872
1. ! [X0] : ((~rich(X0) | happy(X0)) => ~wise(X0)) [input p0]
3. ! [X0] : ((quiet(X0) | rich(X0)) <=> (happy(X0) & creative(X0))) [input p2]
4. ! [X0] : ((~creative(X0) & happy(X0)) <=> (~wise(X0) & ~kind(X0)... | 0 |
Everyone who is both not quiet and wise is strong or not old.
Everyone who is both not old and old is rich and vice versa.
Everyone who is either funny or rich is both not funny and not quiet.
If lucy is not patient then lucy is not humble or curious and vice versa.
If john is both not happy and strong then john is eit... | Fred is not strong. | entailment | (![X]:((~quiet(X)&wise(X))=>(strong(X)|~old(X))))&
(![X]:((~old(X)&old(X))<=>rich(X)))&
(![X]:((funny(X)<~>rich(X))=>(~funny(X)&~quiet(X))))&
((~patient(lucy))<=>((~humble(lucy)|curious(lucy))))&
(((~happy(john)&strong(john)))<=>((calm(john)<~>~tall(john))))&
(((humble(lucy)|~happy(lucy)))=>((happy(john)|~curious(john)... | ~strong(fred) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3916056720392613931232059
% SZS output start Proof for 3916056720392613931232059
2. ! [X0] : ((old(X0) & ~old(X0)) <=> rich(X0)) [input p1]
10. ! [X0] : ((strong(X0) | creative(X0)) => (rich(X0) & ~curious(X0))) [input p9]
23. strong(fred) [input hypothesis]
33. ! [X0] : ((rich(X0) & ~cur... | 0 |
If alice is both tall and not quiet then someone is tall.
Everyone who is both not patient and not quiet is not calm or not funny and vice versa.
Everyone who is either not wise or patient is both tall and brave.
If someone is quiet or not patient then alice is either not kind or creative and vice versa.
If someone is ... | Lucy is not happy. | neutral | (((tall(alice)&~quiet(alice)))=>(?[X]:(tall(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~calm(X)|~funny(X))))&
(![X]:((~wise(X)<~>patient(X))=>(tall(X)&brave(X))))&
((?[X]:((quiet(X)|~patient(X))))<=>((~kind(alice)<~>creative(alice))))&
((?[X]:(~tall(X)))<=>(?[X]:(~old(X))))&
(![X]:((rich(X)|~funny(X))=>funny(X)))&
(![X]:... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is not funny is either strong or not strong.
If someone is both happy and patient then someone is not kind or curious and vice versa.
Everyone who is not strong is not humble or not brave.
If someone is either n... | Mary is not tall. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~strong(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~pati... | ~tall(mary) | [
"p0",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3623260841505122110438103
% SZS output start Proof for 3623260841505122110438103
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
8. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p7]
9. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0))... | 0 |
Everyone who is quiet is either funny or not rich. Everyone who is not brave is patient and vice versa. If john is either not generous or not tall then fred is old or not kind and vice versa. Everyone who is quiet is not quiet or not creative. If someone is either patient or curious then someone is both happy and not f... | Lucy is patient. | contradiction | (![X]:(quiet(X)=>(funny(X)<~>~rich(X))))&
(![X]:(~brave(X)<=>patient(X)))&
(((~generous(john)<~>~tall(john)))<=>((old(fred)|~kind(fred))))&
(![X]:(quiet(X)=>(~quiet(X)|~creative(X))))&
((?[X]:((patient(X)<~>curious(X))))<=>(?[X]:((happy(X)&~funny(X)))))&
(((humble(mary)|~brave(mary)))<=>(?[X]:(quiet(X))))&
((quiet(susa... | patient(lucy) | [
"p3",
"p4",
"p8",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 995904615016179701227165
% SZS output start Proof for 995904615016179701227165
4. ! [X0] : (quiet(X0) => (~creative(X0) | ~quiet(X0))) [input p3]
5. ? [X0] : (patient(X0) <~> curious(X0)) <=> ? [X0] : (~funny(X0) & happy(X0)) [input p4]
9. ! [X0] : ((~tall(X0) | ~quiet(X0)) => creative(X0... | 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 ... | Lucy 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(lucy) | [
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 749077743923313521995440
% SZS output start Proof for 749077743923313521995440
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(luc... | 0 |
If susan is both generous and quiet then susan is quiet. Everyone who is either calm or not humble is not strong or not quiet. Everyone who is humble is tall and vice versa. If susan is creative or not creative then someone is either not quiet or calm and vice versa. If someone is calm then someone is both old and tall... | Susan is generous. | neutral | (((generous(susan)&quiet(susan)))=>(quiet(susan)))&
(![X]:((calm(X)<~>~humble(X))=>(~strong(X)|~quiet(X))))&
(![X]:(humble(X)<=>tall(X)))&
(((creative(susan)|~creative(susan)))<=>(?[X]:((~quiet(X)<~>calm(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((old(X)&tall(X)))))&
((?[X]:((patient(X)<~>quiet(X))))<=>((~quiet(fred)|~strong(f... | generous(susan) | [] | null | 0 |
If lucy is brave then someone is curious. Everyone who is both curious and old is not wise and vice versa. If someone is funny or not calm then paul is not old or not patient. Everyone who is both generous and not tall is both funny and curious and vice versa. Everyone who is wise or not funny is either curious or not ... | Alice is not funny. | entailment | ((brave(lucy))=>(?[X]:(curious(X))))&
(![X]:((curious(X)&old(X))<=>~wise(X)))&
((?[X]:((funny(X)|~calm(X))))=>((~old(paul)|~patient(paul))))&
(![X]:((generous(X)&~tall(X))<=>(funny(X)&curious(X))))&
(![X]:((wise(X)|~funny(X))<=>(curious(X)<~>~calm(X))))&
((?[X]:((patient(X)|happy(X))))=>((~patient(lucy)|tall(lucy))))&
... | ~funny(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6923726820269467700243109
% SZS output start Proof for 6923726820269467700243109
8. ! [X0] : ((funny(X0) | happy(X0)) => (calm(X0) & ~funny(X0))) [input p7]
24. funny(alice) [input hypothesis]
32. ! [X0] : ((calm(X0) & ~funny(X0)) | (~funny(X0) & ~happy(X0))) [ennf transformation 8]
87. ~... | 0 |
If john is not strong then alice is either not creative or generous.
If someone is not humble or quiet then fred is not creative or not old and vice versa.
Everyone who is either not humble or not tall is either tall or patient and vice versa.
If someone is either not rich or not tall then someone is either patient or ... | Fred is patient. | contradiction | ((~strong(john))=>((~creative(alice)<~>generous(alice))))&
((?[X]:((~humble(X)|quiet(X))))<=>((~creative(fred)|~old(fred))))&
(![X]:((~humble(X)<~>~tall(X))<=>(tall(X)<~>patient(X))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>(?[X]:((patient(X)<~>~funny(X)))))&
(![X]:((~tall(X)<~>~strong(X))=>(~wise(X)<~>~happy(X))))&
(![X]:(... | patient(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 106165625878535849958402
% SZS output start Proof for 106165625878535849958402
12. ! [X0] : ((patient(X0) | curious(X0)) <=> (~patient(X0) & ~wise(X0))) [input p11]
25. patient(fred) [input hypothesis]
59. ! [X0] : (((patient(X0) | curious(X0)) | (patient(X0) | wise(X0))) & ((~patient(X0)... | 0 |
Everyone who is curious is both not patient and patient and vice versa.
Everyone who is both not old and old is not tall or not calm.
Everyone who is both not brave and not generous is either kind or humble and vice versa.
Everyone who is not generous or funny is both kind and not humble and vice versa.
Everyone who is... | Fred is old. | contradiction | (![X]:(curious(X)<=>(~patient(X)&patient(X))))&
(![X]:((~old(X)&old(X))=>(~tall(X)|~calm(X))))&
(![X]:((~brave(X)&~generous(X))<=>(kind(X)<~>humble(X))))&
(![X]:((~generous(X)|funny(X))<=>(kind(X)&~humble(X))))&
(![X]:((old(X)&generous(X))=>old(X)))&
((?[X]:((humble(X)&funny(X))))=>(?[X]:(~generous(X))))&
(![X]:((quiet... | old(fred) | [
"p2",
"p3",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4533397666284518355788751
% SZS output start Proof for 4533397666284518355788751
3. ! [X0] : ((~generous(X0) & ~brave(X0)) <=> (kind(X0) <~> humble(X0))) [input p2]
4. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (~humble(X0) & kind(X0))) [input p3]
13. (old(fred) <~> humble(fred)) <=> ? [X0... | 0 |
Everyone who is not old is either not generous or funny.
If someone is not quiet or not generous then someone is either rich or not funny.
Everyone who is quiet is both generous and happy and vice versa.
Everyone who is both rich and brave is kind or curious and vice versa.
If someone is old then fred is either humble ... | Mary is creative. | entailment | (![X]:(~old(X)=>(~generous(X)<~>funny(X))))&
((?[X]:((~quiet(X)|~generous(X))))=>(?[X]:((rich(X)<~>~funny(X)))))&
(![X]:(quiet(X)<=>(generous(X)&happy(X))))&
(![X]:((rich(X)&brave(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>((humble(fred)<~>quiet(fred))))&
(![X]:((brave(X)&kind(X))<=>(~calm(X)|strong(X))))&
(![X]:... | creative(mary) | [
"p2",
"p3",
"p5",
"p11",
"p12",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8769568081894448617731226
% SZS output start Proof for 8769568081894448617731226
3. ! [X0] : (quiet(X0) <=> (happy(X0) & generous(X0))) [input p2]
4. ! [X0] : ((brave(X0) & rich(X0)) <=> (curious(X0) | kind(X0))) [input p3]
6. ! [X0] : ((kind(X0) & brave(X0)) <=> (strong(X0) | ~calm(X0)))... | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If lucy is not old or not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both... | John is creative. | neutral | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
(((~old(lucy)|~tall(lucy)))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kin... | creative(john) | [] | null | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | John is strong. | entailment | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | strong(john) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9125263797054030313261853
% SZS output start Proof for 9125263797054030313261853
2. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (tall(X0) | ~curious(X0)) => (~curious(fred) | ~old(fred)) [input p3]
5. ~curious(lucy) <=> ? [X0] : (~quiet(X0) ... | 0 |
If fred is brave then someone is rich or happy.
Everyone who is brave or humble is rich or not creative and vice versa.
If alice is not humble then paul is either not kind or humble.
Everyone who is both patient and not tall is brave or not strong and vice versa.
If lucy is old then someone is both not curious and crea... | Susan is happy. | entailment | ((brave(fred))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((brave(X)|humble(X))<=>(rich(X)|~creative(X))))&
((~humble(alice))=>((~kind(paul)<~>humble(paul))))&
(![X]:((patient(X)&~tall(X))<=>(brave(X)|~strong(X))))&
((old(lucy))<=>(?[X]:((~curious(X)&creative(X)))))&
(![X]:((kind(X)<~>~generous(X))<=>(calm(X)<~>tall(X))))&
(... | happy(susan) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2234101153991793337401505
% SZS output start Proof for 2234101153991793337401505
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~strong(X0) | brave(X0))) [input p3]
5. old(lucy) <=> ? [X0] : (creative(X0) & ~curious(X0)) [input p4]
8. ! [X0] : ((~calm(X0) & humble(X0)) => happy(X0)) [input p... | 0 |
Everyone who is generous is either calm or quiet and vice versa.
Everyone who is either not funny or strong is either not wise or not strong and vice versa.
If john is not curious then someone is either not wise or not funny.
If someone is both not funny and rich then john is both curious and old and vice versa.
Everyo... | Lucy is wise. | entailment | (![X]:(generous(X)<=>(calm(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>strong(X))<=>(~wise(X)<~>~strong(X))))&
((~curious(john))=>(?[X]:((~wise(X)<~>~funny(X)))))&
((?[X]:((~funny(X)&rich(X))))<=>((curious(john)&old(john))))&
(![X]:((strong(X)&~brave(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))<=>(brave(X... | wise(lucy) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8255409496787934081376371
% SZS output start Proof for 8255409496787934081376371
2. ! [X0] : ((~funny(X0) <~> strong(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
13. (~funny(mary) & funny(mary)) <=> funny(lucy) [input p12]
25. ~wise(lucy) [input hypothesis]
36. ! [X0] : ((((~strong(X0... | 0 |
Everyone who is old is humble and vice versa.
If someone is either not curious or curious then someone is both brave and humble.
If susan is not strong then someone is either not humble or generous and vice versa.
Everyone who is curious is either generous or creative and vice versa.
If someone is either not quiet or n... | Paul is quiet. | neutral | (![X]:(old(X)<=>humble(X)))&
((?[X]:((~curious(X)<~>curious(X))))=>(?[X]:((brave(X)&humble(X)))))&
((~strong(susan))<=>(?[X]:((~humble(X)<~>generous(X)))))&
(![X]:(curious(X)<=>(generous(X)<~>creative(X))))&
((?[X]:((~quiet(X)<~>~kind(X))))=>((tall(lucy)|~happy(lucy))))&
((?[X]:(brave(X)))=>(?[X]:((~patient(X)&humble(X... | quiet(paul) | [] | null | 0 |
If someone is both not funny and creative then someone is either not strong or not old and vice versa.
If someone is not kind then someone is both rich and not quiet.
Everyone who is quiet or creative is either funny or not patient and vice versa.
Everyone who is either creative or not humble is humble and vice versa.
... | Alice is wise. | contradiction | ((?[X]:((~funny(X)&creative(X))))<=>(?[X]:((~strong(X)<~>~old(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((quiet(X)|creative(X))<=>(funny(X)<~>~patient(X))))&
(![X]:((creative(X)<~>~humble(X))<=>humble(X)))&
(![X]:(wise(X)<=>(~kind(X)&tall(X))))&
((?[X]:(calm(X)))=>((creative(lucy)<~>~tall(lucy)))... | wise(alice) | [
"p3",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 78852376863891165501194
% SZS output start Proof for 78852376863891165501194
4. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> humble(X0)) [input p3]
5. ! [X0] : (wise(X0) <=> (tall(X0) & ~kind(X0))) [input p4]
7. ? [X0] : (~creative(X0) & generous(X0)) <=> (brave(alice) | happy(alice)) [in... | 0 |
Everyone who is happy is both not happy and not calm and vice versa. If alice is either not happy or patient then john is old. If susan is either tall or creative then someone is curious. Everyone who is rich is calm and vice versa. If someone is not wise then fred is either creative or not brave. Everyone who is eithe... | John is not patient. | neutral | (![X]:(happy(X)<=>(~happy(X)&~calm(X))))&
(((~happy(alice)<~>patient(alice)))=>(old(john)))&
(((tall(susan)<~>creative(susan)))=>(?[X]:(curious(X))))&
(![X]:(rich(X)<=>calm(X)))&
((?[X]:(~wise(X)))=>((creative(fred)<~>~brave(fred))))&
(![X]:((funny(X)<~>~wise(X))=>(calm(X)|funny(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~w... | ~patient(john) | [] | null | 0 |
Everyone who is either kind or not old is kind or not generous and vice versa.
If alice is both not creative and creative then paul is funny.
Everyone who is both not wise and not old is both not calm and not rich.
If someone is both curious and strong then someone is both not creative and not rich and vice versa.
If m... | Paul is kind. | neutral | (![X]:((kind(X)<~>~old(X))<=>(kind(X)|~generous(X))))&
(((~creative(alice)&creative(alice)))=>(funny(paul)))&
(![X]:((~wise(X)&~old(X))=>(~calm(X)&~rich(X))))&
((?[X]:((curious(X)&strong(X))))<=>(?[X]:((~creative(X)&~rich(X)))))&
(((~wise(mary)&~calm(mary)))<=>((old(paul)&patient(paul))))&
((?[X]:((tall(X)&~generous(X)... | kind(paul) | [] | null | 0 |
Everyone who is not creative or not wise is both curious and quiet and vice versa.
Everyone who is both not brave and not generous is not rich or wise.
Everyone who is both patient and brave is not creative or not quiet.
If someone is either not wise or humble then alice is not creative and vice versa.
If someone is cu... | Fred is brave. | entailment | (![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((patient(X)&brave(X))=>(~creative(X)|~quiet(X))))&
((?[X]:((~wise(X)<~>humble(X))))<=>(~creative(alice)))&
((?[X]:(curious(X)))=>((creative(mary)&~tall(mary))))&
(![X]:(quiet(X)=>(happy(X)&curious(X))... | brave(fred) | [
"p5",
"p11",
"p12",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8351126650959278573517719
% SZS output start Proof for 8351126650959278573517719
6. ! [X0] : (quiet(X0) => (curious(X0) & happy(X0))) [input p5]
12. ! [X0] : ((tall(X0) & quiet(X0)) <=> (~brave(X0) | ~humble(X0))) [input p11]
13. ! [X0] : ((~creative(X0) | kind(X0)) <=> (~rich(X0) | ~curi... | 0 |
Everyone who is quiet or not kind is old or tall. Everyone who is creative is either patient or wise and vice versa. Everyone who is both not quiet and not old is creative or not happy and vice versa. Everyone who is not happy is not brave and vice versa. If someone is both not old and kind then someone is not brave or... | Lucy is not brave. | contradiction | (![X]:((quiet(X)|~kind(X))=>(old(X)|tall(X))))&
(![X]:(creative(X)<=>(patient(X)<~>wise(X))))&
(![X]:((~quiet(X)&~old(X))<=>(creative(X)|~happy(X))))&
(![X]:(~happy(X)<=>~brave(X)))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:((~kind(X)&brave(X))))=>(?[X]:((calm(X)&~rich(X)))))&
((?[X]:((humble... | ~brave(lucy) | [
"p0",
"p2",
"p3",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8960943263003928071578189
% SZS output start Proof for 8960943263003928071578189
1. ! [X0] : ((~kind(X0) | quiet(X0)) => (tall(X0) | old(X0))) [input p0]
3. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (~happy(X0) | creative(X0))) [input p2]
4. ! [X0] : (~happy(X0) <=> ~brave(X0)) [input p3]
16.... | 0 |
If lucy is not calm then paul is not strong. Everyone who is either wise or not old is either creative or not creative and vice versa. Everyone who is either tall or not old is not strong or not old and vice versa. Everyone who is either rich or creative is not kind or patient and vice versa. Everyone who is both not s... | Fred is strong. | contradiction | ((~calm(lucy))=>(~strong(paul)))&
(![X]:((wise(X)<~>~old(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((tall(X)<~>~old(X))<=>(~strong(X)|~old(X))))&
(![X]:((rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:((~strong(X)&~happy(X))<=>(calm(X)|~humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
... | strong(fred) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4389417714381747695564522
% SZS output start Proof for 4389417714381747695564522
5. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~humble(X0) | calm(X0))) [input p4]
6. ? [X0] : strong(X0) <=> ? [X0] : (curious(X0) <~> ~brave(X0)) [input p5]
8. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (wise... | 0 |
Everyone who is both strong and not humble is not calm and vice versa.
Everyone who is both not generous and not quiet is patient.
If someone is either happy or funny then alice is not curious or strong and vice versa.
If someone is not rich then lucy is not rich or not generous.
Everyone who is not old or not quiet is... | Lucy is generous. | neutral | (![X]:((strong(X)&~humble(X))<=>~calm(X)))&
(![X]:((~generous(X)&~quiet(X))=>patient(X)))&
((?[X]:((happy(X)<~>funny(X))))<=>((~curious(alice)|strong(alice))))&
((?[X]:(~rich(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((~old(X)|~quiet(X))=>(~funny(X)|~strong(X))))&
((?[X]:(~quiet(X)))<=>((~funny(paul)&~brave(paul)))... | generous(lucy) | [] | null | 0 |
Everyone who is either not creative or not humble is not rich and vice versa. If someone is not generous then someone is funny and vice versa. Everyone who is funny is either quiet or funny. If john is not humble then john is curious or not curious and vice versa. Everyone who is either old or strong is both not curiou... | Mary is tall. | neutral | (![X]:((~creative(X)<~>~humble(X))<=>~rich(X)))&
((?[X]:(~generous(X)))<=>(?[X]:(funny(X))))&
(![X]:(funny(X)=>(quiet(X)<~>funny(X))))&
((~humble(john))<=>((curious(john)|~curious(john))))&
(![X]:((old(X)<~>strong(X))<=>(~curious(X)&~patient(X))))&
(![X]:((quiet(X)<~>~wise(X))<=>~rich(X)))&
(![X]:(~calm(X)=>(generous(X... | tall(mary) | [] | null | 0 |
Everyone who is either generous or not old is wise.
If mary is not strong then someone is humble or rich.
Everyone who is either not wise or old is old and vice versa.
Everyone who is both quiet and tall is not calm or kind and vice versa.
Everyone who is both not happy and patient is both tall and calm and vice versa.... | Paul is calm. | entailment | (![X]:((generous(X)<~>~old(X))=>wise(X)))&
((~strong(mary))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((~wise(X)<~>old(X))<=>old(X)))&
(![X]:((quiet(X)&tall(X))<=>(~calm(X)|kind(X))))&
(![X]:((~happy(X)&patient(X))<=>(tall(X)&calm(X))))&
(((calm(lucy)&~calm(lucy)))=>((curious(fred)<~>funny(fred))))&
(![X]:((~old(X)|creativ... | calm(paul) | [
"p3",
"p4",
"p6",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7626393266182011875148104
% SZS output start Proof for 7626393266182011875148104
4. ! [X0] : ((tall(X0) & quiet(X0)) <=> (kind(X0) | ~calm(X0))) [input p3]
5. ! [X0] : ((patient(X0) & ~happy(X0)) <=> (calm(X0) & tall(X0))) [input p4]
7. ! [X0] : ((creative(X0) | ~old(X0)) => (~creative(X0... | 0 |
If someone is either calm or kind then someone is both old and happy and vice versa.
If someone is both not calm and patient then fred is both strong and not calm.
If alice is either kind or not kind then fred is either strong or quiet.
If someone is brave or not rich then someone is either not brave or not tall.
Every... | Mary is not happy. | contradiction | ((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:((old(X)&happy(X)))))&
((?[X]:((~calm(X)&patient(X))))=>((strong(fred)&~calm(fred))))&
(((kind(alice)<~>~kind(alice)))=>((strong(fred)<~>quiet(fred))))&
((?[X]:((brave(X)|~rich(X))))=>(?[X]:((~brave(X)<~>~tall(X)))))&
(![X]:((~brave(X)&~humble(X))=>~tall(X)))&
(![X]:((~creative(X)<... | ~happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 159307274256924274197773
% SZS output start Proof for 159307274256924274197773
10. ! [X0] : (~quiet(X0) <=> (quiet(X0) & ~happy(X0))) [input p9]
23. ~happy(mary) [input hypothesis]
52. ! [X0] : ((~quiet(X0) | (~quiet(X0) | happy(X0))) & ((quiet(X0) & ~happy(X0)) | quiet(X0))) [nnf transfo... | 0 |
If someone is not calm then susan is both not brave and old.
If someone is both happy and rich then someone is either not creative or creative.
Everyone who is patient is creative or generous and vice versa.
If lucy is both not calm and not patient then someone is either not wise or old and vice versa.
Everyone who is ... | John is not patient. | contradiction | ((?[X]:(~calm(X)))=>((~brave(susan)&old(susan))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:(patient(X)<=>(creative(X)|generous(X))))&
(((~calm(lucy)&~patient(lucy)))<=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:((~rich(X)|~tall(X))<=>(~wise(X)&~patient(X))))&
((?[X]:((strong(X)<~>~happy(X)... | ~patient(john) | [
"p2",
"p4",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6552228237930587334609942
% SZS output start Proof for 6552228237930587334609942
3. ! [X0] : (patient(X0) <=> (generous(X0) | creative(X0))) [input p2]
5. ! [X0] : ((~tall(X0) | ~rich(X0)) <=> (~patient(X0) & ~wise(X0))) [input p4]
13. ! [X0] : (~creative(X0) => ~tall(X0)) [input p12]
17.... | 0 |
If someone is humble then alice is either funny or not wise.
If someone is both wise and not calm then alice is happy and vice versa.
Everyone who is not wise or generous is not creative or not patient and vice versa.
If fred is both strong and not patient then john is both creative and not curious and vice versa.
Ever... | Fred is not rich. | neutral | ((?[X]:(humble(X)))=>((funny(alice)<~>~wise(alice))))&
((?[X]:((wise(X)&~calm(X))))<=>(happy(alice)))&
(![X]:((~wise(X)|generous(X))<=>(~creative(X)|~patient(X))))&
(((strong(fred)&~patient(fred)))<=>((creative(john)&~curious(john))))&
(![X]:(kind(X)<=>(~strong(X)<~>generous(X))))&
(![X]:(~patient(X)<=>(~curious(X)|qui... | ~rich(fred) | [] | null | 0 |
Everyone who is both creative and not old is creative.
Everyone who is not strong is creative or not funny and vice versa.
Everyone who is both not old and not patient is rich.
Everyone who is both not strong and calm is not calm and vice versa.
If susan is strong then someone is old.
If someone is both not rich and st... | Alice is not creative. | entailment | (![X]:((creative(X)&~old(X))=>creative(X)))&
(![X]:(~strong(X)<=>(creative(X)|~funny(X))))&
(![X]:((~old(X)&~patient(X))=>rich(X)))&
(![X]:((~strong(X)&calm(X))<=>~calm(X)))&
((strong(susan))=>(?[X]:(old(X))))&
((?[X]:((~rich(X)&strong(X))))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~happy(X)&~creative(X))=>~humble... | ~creative(alice) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4977262667530664735990773
% SZS output start Proof for 4977262667530664735990773
2. ! [X0] : (~strong(X0) <=> (~funny(X0) | creative(X0))) [input p1]
4. ! [X0] : ((calm(X0) & ~strong(X0)) <=> ~calm(X0)) [input p3]
23. creative(alice) [input hypothesis]
40. ! [X0] : ((~strong(X0) | (funny(... | 0 |
If someone is both not strong and not tall then susan is either not creative or curious and vice versa.
Everyone who is not quiet is either not happy or curious and vice versa.
If someone is not creative then someone is either not calm or not funny and vice versa.
Everyone who is not kind is not happy or not rich.
Ever... | John is old. | neutral | ((?[X]:((~strong(X)&~tall(X))))<=>((~creative(susan)<~>curious(susan))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>curious(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:(~kind(X)=>(~happy(X)|~rich(X))))&
(![X]:((~old(X)|quiet(X))=>(~funny(X)&~patient(X))))&
(![X]:((~kind(X)|curious(X))<=>~calm(X)))&
(!... | old(john) | [] | null | 0 |
If someone is either not funny or rich then lucy is not brave or not kind.
Everyone who is old is strong or not old and vice versa.
Everyone who is either kind or not happy is not strong or patient and vice versa.
If fred is either happy or not kind then someone is both not quiet and not creative and vice versa.
If som... | Paul is not brave. | neutral | ((?[X]:((~funny(X)<~>rich(X))))=>((~brave(lucy)|~kind(lucy))))&
(![X]:(old(X)<=>(strong(X)|~old(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(~strong(X)|patient(X))))&
(((happy(fred)<~>~kind(fred)))<=>(?[X]:((~quiet(X)&~creative(X)))))&
((?[X]:((humble(X)&funny(X))))=>((~kind(fred)|~rich(fred))))&
(![X]:((~calm(X)|happy(X))<=... | ~brave(paul) | [] | null | 0 |
If alice is creative then alice is either strong or tall and vice versa.
Everyone who is either not happy or not humble is not kind or funny and vice versa.
Everyone who is both not kind and not generous is not funny or brave and vice versa.
Everyone who is both not kind and not brave is calm and vice versa.
Everyone w... | Lucy is curious. | neutral | ((creative(alice))<=>((strong(alice)<~>tall(alice))))&
(![X]:((~happy(X)<~>~humble(X))<=>(~kind(X)|funny(X))))&
(![X]:((~kind(X)&~generous(X))<=>(~funny(X)|brave(X))))&
(![X]:((~kind(X)&~brave(X))<=>calm(X)))&
(![X]:((~tall(X)<~>~curious(X))=>~rich(X)))&
(![X]:((generous(X)<~>strong(X))=>(quiet(X)|~rich(X))))&
((?[X]:(... | curious(lucy) | [] | null | 0 |
If lucy is either humble or not happy then someone is brave or not old and vice versa.
If lucy is not patient or wise then someone is both creative and wise.
If someone is either not creative or quiet then alice is not rich or funny and vice versa.
Everyone who is wise or generous is either strong or funny.
If someone ... | John is not humble. | contradiction | (((humble(lucy)<~>~happy(lucy)))<=>(?[X]:((brave(X)|~old(X)))))&
(((~patient(lucy)|wise(lucy)))=>(?[X]:((creative(X)&wise(X)))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((~rich(alice)|funny(alice))))&
(![X]:((wise(X)|generous(X))=>(strong(X)<~>funny(X))))&
((?[X]:((~calm(X)&~humble(X))))=>((~funny(mary)&rich(mary))))&
(... | ~humble(john) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1874340399556980345566579
% SZS output start Proof for 1874340399556980345566579
9. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (quiet(X0) & ~old(X0))) [input p8]
13. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (patient(X0) & humble(X0))) [input p12]
25. ~humble(john) [input hypothesis]
54. ! [X0] ... | 0 |
If mary is humble or not old then fred is either not quiet or kind and vice versa. Everyone who is wise is not generous or not quiet. If someone is either not creative or not quiet then fred is either funny or quiet. If someone is quiet or not kind then paul is not rich or not creative and vice versa. If susan is not f... | Susan is humble. | entailment | (((humble(mary)|~old(mary)))<=>((~quiet(fred)<~>kind(fred))))&
(![X]:(wise(X)=>(~generous(X)|~quiet(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>((funny(fred)<~>quiet(fred))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~rich(paul)|~creative(paul))))&
(((~funny(susan)|brave(susan)))<=>(?[X]:((tall(X)|quiet(X)))))&
(((funny(john... | humble(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 650349275019790072065171
% SZS output start Proof for 650349275019790072065171
9. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p8]
22. ~humble(susan) [input hypothesis]
59. ! [X0] : ((((humble(X0) | old(X0)) & (~humble(X0) | ~old(X0))) | old(X0)) & (~old(X0) | ((~old(X0) | hu... | 0 |
If lucy is not patient or not brave then susan is not generous.
If alice is strong or happy then someone is either not kind or not wise and vice versa.
Everyone who is either not quiet or not rich is calm and vice versa.
If paul is patient then susan is old and vice versa.
Everyone who is happy or not quiet is either n... | Lucy is not humble. | neutral | (((~patient(lucy)|~brave(lucy)))=>(~generous(susan)))&
(((strong(alice)|happy(alice)))<=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((~quiet(X)<~>~rich(X))<=>calm(X)))&
((patient(paul))<=>(old(susan)))&
(![X]:((happy(X)|~quiet(X))=>(~patient(X)<~>quiet(X))))&
(((generous(alice)&~wise(alice)))<=>((~wise(alice)&patient(alice... | ~humble(lucy) | [] | null | 0 |
Everyone who is either not wise or tall is generous or kind and vice versa. If john is both not tall and not old then someone is both wise and not creative. If paul is not brave then someone is both not old and curious. If mary is happy or calm then someone is not brave or rich and vice versa. Everyone who is either cu... | Susan is not old. | contradiction | (![X]:((~wise(X)<~>tall(X))<=>(generous(X)|kind(X))))&
(((~tall(john)&~old(john)))=>(?[X]:((wise(X)&~creative(X)))))&
((~brave(paul))=>(?[X]:((~old(X)&curious(X)))))&
(((happy(mary)|calm(mary)))<=>(?[X]:((~brave(X)|rich(X)))))&
(![X]:((curious(X)<~>~creative(X))<=>(~calm(X)<~>~kind(X))))&
((?[X]:(kind(X)))<=>(?[X]:((st... | ~old(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5364971700889898862446242
% SZS output start Proof for 5364971700889898862446242
17. ~generous(susan) & old(susan) [input p16]
24. ~old(susan) [input hypothesis]
138. old(susan) [cnf transformation 17]
147. ~old(susan) [cnf transformation 24]
340. $false [subsumption resolution 147,138]
%... | 0 |
Everyone who is not patient or curious is rich and vice versa.
Everyone who is strong or kind is both strong and rich and vice versa.
Everyone who is both not humble and not funny is not quiet or rich and vice versa.
If lucy is either brave or not old then alice is rich or not wise and vice versa.
Everyone who is not c... | Lucy is humble. | neutral | (![X]:((~patient(X)|curious(X))<=>rich(X)))&
(![X]:((strong(X)|kind(X))<=>(strong(X)&rich(X))))&
(![X]:((~humble(X)&~funny(X))<=>(~quiet(X)|rich(X))))&
(((brave(lucy)<~>~old(lucy)))<=>((rich(alice)|~wise(alice))))&
(![X]:(~creative(X)<=>(~kind(X)|~funny(X))))&
(![X]:((curious(X)|~calm(X))=>(rich(X)&old(X))))&
(![X]:((h... | humble(lucy) | [] | null | 0 |
Everyone who is either not humble or not calm is either not funny or happy and vice versa.
Everyone who is funny is either generous or tall and vice versa.
If someone is not generous or old then someone is not old.
If someone is happy or not kind then someone is either creative or old and vice versa.
If alice is curiou... | John is not rich. | neutral | (![X]:((~humble(X)<~>~calm(X))<=>(~funny(X)<~>happy(X))))&
(![X]:(funny(X)<=>(generous(X)<~>tall(X))))&
((?[X]:((~generous(X)|old(X))))=>(?[X]:(~old(X))))&
((?[X]:((happy(X)|~kind(X))))<=>(?[X]:((creative(X)<~>old(X)))))&
((curious(alice))=>(?[X]:(~kind(X))))&
(((wise(lucy)&~humble(lucy)))<=>(?[X]:((~old(X)<~>calm(X)))... | ~rich(john) | [] | null | 0 |
Everyone who is either generous or curious is both not brave and not patient.
Everyone who is either not kind or not calm is both not quiet and funny.
Everyone who is both happy and old is not strong.
If fred is both creative and not curious then someone is both not generous and not calm.
If someone is not generous or ... | Mary is not humble. | contradiction | (![X]:((generous(X)<~>curious(X))=>(~brave(X)&~patient(X))))&
(![X]:((~kind(X)<~>~calm(X))=>(~quiet(X)&funny(X))))&
(![X]:((happy(X)&old(X))=>~strong(X)))&
(((creative(fred)&~curious(fred)))=>(?[X]:((~generous(X)&~calm(X)))))&
((?[X]:((~generous(X)|curious(X))))<=>(?[X]:((strong(X)|~brave(X)))))&
((?[X]:((happy(X)&~ric... | ~humble(mary) | [
"p0",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5121871492020175093247381
% SZS output start Proof for 5121871492020175093247381
1. ! [X0] : ((generous(X0) <~> curious(X0)) => (~patient(X0) & ~brave(X0))) [input p0]
8. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (creative(X0) | ~old(X0))) [input p7]
9. ! [X0] : ((~humble(X0) | wise(X0))... | 0 |
If susan is either brave or tall then someone is not rich.
If fred is kind or not curious then fred is both not funny and not rich.
Everyone who is quiet is both not wise and funny and vice versa.
If susan is either funny or old then someone is either not funny or not creative and vice versa.
If someone is either rich ... | Fred is not rich. | neutral | (((brave(susan)<~>tall(susan)))=>(?[X]:(~rich(X))))&
(((kind(fred)|~curious(fred)))=>((~funny(fred)&~rich(fred))))&
(![X]:(quiet(X)<=>(~wise(X)&funny(X))))&
(((funny(susan)<~>old(susan)))<=>(?[X]:((~funny(X)<~>~creative(X)))))&
((?[X]:((rich(X)<~>~generous(X))))=>((~funny(susan)<~>kind(susan))))&
(![X]:(~old(X)=>~wise(... | ~rich(fred) | [] | null | 0 |
Everyone who is both old and rich is either not rich or wise.
If someone is not calm or generous then someone is not strong or rich and vice versa.
If someone is either creative or happy then mary is not patient and vice versa.
Everyone who is both calm and not kind is kind and vice versa.
If someone is old then fred i... | Paul is not happy. | entailment | (![X]:((old(X)&rich(X))=>(~rich(X)<~>wise(X))))&
((?[X]:((~calm(X)|generous(X))))<=>(?[X]:((~strong(X)|rich(X)))))&
((?[X]:((creative(X)<~>happy(X))))<=>(~patient(mary)))&
(![X]:((calm(X)&~kind(X))<=>kind(X)))&
((?[X]:(old(X)))=>((~funny(fred)<~>~brave(fred))))&
(![X]:((funny(X)<~>~happy(X))<=>(funny(X)|quiet(X))))&
(!... | ~happy(paul) | [
"p0",
"p3",
"p5",
"p6",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7121447645043243231640348
% SZS output start Proof for 7121447645043243231640348
1. ! [X0] : ((rich(X0) & old(X0)) => (~rich(X0) <~> wise(X0))) [input p0]
4. ! [X0] : ((~kind(X0) & calm(X0)) <=> kind(X0)) [input p3]
6. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (quiet(X0) | funny(X0))) [inp... | 0 |
Everyone who is kind or not rich is not kind.
If paul is old or curious then someone is wise or not happy and vice versa.
Everyone who is both patient and wise is quiet or strong and vice versa.
Everyone who is not quiet is strong or not wise.
Everyone who is quiet is either funny or not curious.
Everyone who is both q... | John is not creative. | neutral | (![X]:((kind(X)|~rich(X))=>~kind(X)))&
(((old(paul)|curious(paul)))<=>(?[X]:((wise(X)|~happy(X)))))&
(![X]:((patient(X)&wise(X))<=>(quiet(X)|strong(X))))&
(![X]:(~quiet(X)=>(strong(X)|~wise(X))))&
(![X]:(quiet(X)=>(funny(X)<~>~curious(X))))&
(![X]:((quiet(X)&rich(X))<=>(wise(X)|~humble(X))))&
(![X]:(quiet(X)<=>strong(X... | ~creative(john) | [] | null | 0 |
Everyone who is either creative or happy is both creative and brave and vice versa.
If someone is not kind or not wise then susan is either happy or not old and vice versa.
If john is not kind or old then john is humble.
If lucy is both calm and humble then someone is strong.
If paul is either generous or not rich then... | Susan is not generous. | contradiction | (![X]:((creative(X)<~>happy(X))<=>(creative(X)&brave(X))))&
((?[X]:((~kind(X)|~wise(X))))<=>((happy(susan)<~>~old(susan))))&
(((~kind(john)|old(john)))=>(humble(john)))&
(((calm(lucy)&humble(lucy)))=>(?[X]:(strong(X))))&
(((generous(paul)<~>~rich(paul)))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((kind(X)<~>~tall(X))))... | ~generous(susan) | [
"p0",
"p1",
"p6",
"p9",
"p11",
"p13",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6753912071704842488999719
% SZS output start Proof for 6753912071704842488999719
1. ! [X0] : ((creative(X0) <~> happy(X0)) <=> (brave(X0) & creative(X0))) [input p0]
2. ? [X0] : (~wise(X0) | ~kind(X0)) <=> (happy(susan) <~> ~old(susan)) [input p1]
7. ! [X0] : ((~old(X0) | strong(X0)) <=> ... | 0 |
Everyone who is both generous and not funny is creative or tall. If someone is brave or patient then someone is patient or wise and vice versa. Everyone who is not kind or calm is old. Everyone who is wise or generous is creative or brave. Everyone who is old is humble or not tall. If lucy is either strong or funny the... | John is funny. | contradiction | (![X]:((generous(X)&~funny(X))=>(creative(X)|tall(X))))&
((?[X]:((brave(X)|patient(X))))<=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((~kind(X)|calm(X))=>old(X)))&
(![X]:((wise(X)|generous(X))=>(creative(X)|brave(X))))&
(![X]:(old(X)=>(humble(X)|~tall(X))))&
(((strong(lucy)<~>funny(lucy)))<=>(?[X]:((strong(X)&brave(X)))))&... | funny(john) | [
"p10",
"p11",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 191426429950606722769769
% SZS output start Proof for 191426429950606722769769
11. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p10]
12. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p11]
13. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [in... | 0 |
Everyone who is either not humble or creative is old or not generous.
Everyone who is either patient or humble is not humble.
Everyone who is patient or curious is not brave.
Everyone who is not quiet or not happy is either not brave or not kind and vice versa.
If alice is brave then alice is not generous or not creati... | Alice is not kind. | contradiction | (![X]:((~humble(X)<~>creative(X))=>(old(X)|~generous(X))))&
(![X]:((patient(X)<~>humble(X))=>~humble(X)))&
(![X]:((patient(X)|curious(X))=>~brave(X)))&
(![X]:((~quiet(X)|~happy(X))<=>(~brave(X)<~>~kind(X))))&
((brave(alice))<=>((~generous(alice)|~creative(alice))))&
((?[X]:((~calm(X)<~>~strong(X))))<=>(curious(paul)))&... | ~kind(alice) | [
"p1",
"p2",
"p4",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1745157523973042465485277
% SZS output start Proof for 1745157523973042465485277
2. ! [X0] : ((patient(X0) <~> humble(X0)) => ~humble(X0)) [input p1]
3. ! [X0] : ((curious(X0) | patient(X0)) => ~brave(X0)) [input p2]
5. brave(alice) <=> (~creative(alice) | ~generous(alice)) [input p4]
9. ... | 0 |
Everyone who is not old or humble is either not tall or not quiet.
If someone is brave or not calm then paul is humble.
Everyone who is either old or funny is not brave.
If someone is happy then someone is either not rich or not quiet.
Everyone who is humble or tall is either brave or not curious.
Everyone who is not c... | Lucy is rich. | entailment | (![X]:((~old(X)|humble(X))=>(~tall(X)<~>~quiet(X))))&
((?[X]:((brave(X)|~calm(X))))=>(humble(paul)))&
(![X]:((old(X)<~>funny(X))=>~brave(X)))&
((?[X]:(happy(X)))=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))=>(brave(X)<~>~curious(X))))&
(![X]:(~creative(X)=>rich(X)))&
(![X]:((~tall(X)<~>~wise(X))<=>(~cu... | rich(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7600435490025086273487394
% SZS output start Proof for 7600435490025086273487394
6. ! [X0] : (~creative(X0) => rich(X0)) [input p5]
16. ! [X0] : ((wise(X0) & ~creative(X0)) <=> (~rich(X0) | ~happy(X0))) [input p15]
23. ~rich(lucy) [input hypothesis]
33. ! [X0] : (rich(X0) | creative(X0)) ... | 0 |
Everyone who is both kind and funny is creative and vice versa. Everyone who is both generous and not wise is curious or humble and vice versa. Everyone who is funny or strong is either not brave or not kind and vice versa. If someone is either curious or not patient then someone is both rich and humble. Everyone who i... | Mary is not kind. | neutral | (![X]:((kind(X)&funny(X))<=>creative(X)))&
(![X]:((generous(X)&~wise(X))<=>(curious(X)|humble(X))))&
(![X]:((funny(X)|strong(X))<=>(~brave(X)<~>~kind(X))))&
((?[X]:((curious(X)<~>~patient(X))))=>(?[X]:((rich(X)&humble(X)))))&
(![X]:(~happy(X)<=>(happy(X)&patient(X))))&
(((funny(paul)<~>~creative(paul)))=>(?[X]:((tall(X... | ~kind(mary) | [] | null | 0 |
Everyone who is strong is calm or not quiet and vice versa.
If someone is not kind then someone is humble.
Everyone who is not strong is both old and kind.
If alice is not funny then mary is not strong.
If alice is both creative and not patient then fred is both not calm and humble.
If someone is either not funny or wi... | Mary is wise. | entailment | (![X]:(strong(X)<=>(calm(X)|~quiet(X))))&
((?[X]:(~kind(X)))=>(?[X]:(humble(X))))&
(![X]:(~strong(X)=>(old(X)&kind(X))))&
((~funny(alice))=>(~strong(mary)))&
(((creative(alice)&~patient(alice)))=>((~calm(fred)&humble(fred))))&
((?[X]:((~funny(X)<~>wise(X))))<=>(rich(mary)))&
(![X]:((tall(X)&generous(X))<=>(~rich(X)&~ki... | wise(mary) | [
"p2",
"p6",
"p8",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1572653027247524848733290
% SZS output start Proof for 1572653027247524848733290
3. ! [X0] : (~strong(X0) => (kind(X0) & old(X0))) [input p2]
7. ! [X0] : ((generous(X0) & tall(X0)) <=> (~kind(X0) & ~rich(X0))) [input p6]
9. ! [X0] : ((~old(X0) | patient(X0)) => ~calm(X0)) [input p8]
12. !... | 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... | Susan is not curious. | entailment | ((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>((generous(paul)&rich(paul))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generou... | ~curious(susan) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7887261628223478910268549
% SZS output start Proof for 7887261628223478910268549
9. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p8]
12. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0] : curious(X0) [input p11]
21. curious(susan) [input hypothesis]
24. ? [X0] : (~funny(X... | 0 |
Everyone who is both generous and not curious is rich and vice versa.
If someone is either kind or not strong then fred is either not strong or not generous.
Everyone who is old or patient is calm or not old.
Everyone who is both happy and not calm is both not funny and not patient and vice versa.
If someone is rich or... | Fred is not wise. | neutral | (![X]:((generous(X)&~curious(X))<=>rich(X)))&
((?[X]:((kind(X)<~>~strong(X))))=>((~strong(fred)<~>~generous(fred))))&
(![X]:((old(X)|patient(X))=>(calm(X)|~old(X))))&
(![X]:((happy(X)&~calm(X))<=>(~funny(X)&~patient(X))))&
((?[X]:((rich(X)|~brave(X))))=>(?[X]:((calm(X)&strong(X)))))&
(((~wise(lucy)<~>old(lucy)))<=>(?[X... | ~wise(fred) | [] | null | 0 |
If someone is not kind or not humble then paul is either funny or not calm and vice versa.
Everyone who is wise is both not calm and not tall and vice versa.
Everyone who is either humble or tall is both not creative and not strong.
Everyone who is either strong or tall is either not humble or not curious.
Everyone who... | Alice is not happy. | neutral | ((?[X]:((~kind(X)|~humble(X))))<=>((funny(paul)<~>~calm(paul))))&
(![X]:(wise(X)<=>(~calm(X)&~tall(X))))&
(![X]:((humble(X)<~>tall(X))=>(~creative(X)&~strong(X))))&
(![X]:((strong(X)<~>tall(X))=>(~humble(X)<~>~curious(X))))&
(![X]:((~tall(X)|funny(X))<=>(humble(X)&~tall(X))))&
(![X]:(funny(X)<=>(~kind(X)|patient(X))))&... | ~happy(alice) | [] | null | 0 |
Everyone who is not rich is quiet and vice versa. Everyone who is either patient or curious is both not tall and kind. If lucy is both not creative and not quiet then fred is happy. Everyone who is both curious and rich is not funny or not creative and vice versa. If john is brave or old then john is both not strong an... | Mary is curious. | entailment | (![X]:(~rich(X)<=>quiet(X)))&
(![X]:((patient(X)<~>curious(X))=>(~tall(X)&kind(X))))&
(((~creative(lucy)&~quiet(lucy)))=>(happy(fred)))&
(![X]:((curious(X)&rich(X))<=>(~funny(X)|~creative(X))))&
(((brave(john)|old(john)))<=>((~strong(john)&kind(john))))&
(((creative(mary)<~>~quiet(mary)))<=>((generous(lucy)&~calm(lucy)... | curious(mary) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6067770979729261883927126
% SZS output start Proof for 6067770979729261883927126
4. ! [X0] : ((rich(X0) & curious(X0)) <=> (~creative(X0) | ~funny(X0))) [input p3]
15. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p14]
23. ~curious(mary) [input hypothesis]
36. ! [X0] : (((rich(... | 0 |
If alice is either not creative or strong then someone is both not wise and not funny and vice versa. If fred is tall then someone is not curious and vice versa. Everyone who is both curious and not patient is not kind or wise and vice versa. If someone is either patient or rich then mary is rich or not tall and vice v... | Paul is humble. | neutral | (((~creative(alice)<~>strong(alice)))<=>(?[X]:((~wise(X)&~funny(X)))))&
((tall(fred))<=>(?[X]:(~curious(X))))&
(![X]:((curious(X)&~patient(X))<=>(~kind(X)|wise(X))))&
((?[X]:((patient(X)<~>rich(X))))<=>((rich(mary)|~tall(mary))))&
(((~kind(alice)|kind(alice)))<=>(~strong(paul)))&
((?[X]:((patient(X)&~old(X))))<=>(~stro... | humble(paul) | [] | null | 0 |
Everyone who is not generous or not calm is not curious.
If someone is curious or not strong then paul is not patient.
If someone is either tall or brave then alice is not tall or patient and vice versa.
Everyone who is rich or tall is funny or not quiet and vice versa.
Everyone who is both not patient and rich is curi... | Fred is generous. | entailment | (![X]:((~generous(X)|~calm(X))=>~curious(X)))&
((?[X]:((curious(X)|~strong(X))))=>(~patient(paul)))&
((?[X]:((tall(X)<~>brave(X))))<=>((~tall(alice)|patient(alice))))&
(![X]:((rich(X)|tall(X))<=>(funny(X)|~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curious(X)|quiet(X))))&
((?[X]:((~generous(X)&~quiet(X))))=>(?[X]:((t... | generous(fred) | [
"p0",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6486074888609330667490952
% SZS output start Proof for 6486074888609330667490952
1. ! [X0] : ((~calm(X0) | ~generous(X0)) => ~curious(X0)) [input p0]
13. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p12]
14. ! [X0] : (creative(X0) <=> (~curious(X0) | creative(X0))) [inp... | 0 |
If mary is rich then mary is both generous and not calm. Everyone who is curious or calm is not wise. Everyone who is both strong and not wise is patient or wise and vice versa. If someone is rich then someone is both not funny and not calm and vice versa. Everyone who is curious or not wise is creative or tall. Everyo... | Mary is not generous. | entailment | ((rich(mary))=>((generous(mary)&~calm(mary))))&
(![X]:((curious(X)|calm(X))=>~wise(X)))&
(![X]:((strong(X)&~wise(X))<=>(patient(X)|wise(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~funny(X)&~calm(X)))))&
(![X]:((curious(X)|~wise(X))=>(creative(X)|tall(X))))&
(![X]:((~kind(X)&~calm(X))=>(strong(X)&~quiet(X))))&
(![X]:(rich(X)<=>... | ~generous(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6625972720307558961265116
% SZS output start Proof for 6625972720307558961265116
9. ! [X0] : (brave(X0) <=> (~brave(X0) <~> ~generous(X0))) [input p8]
24. generous(mary) [input hypothesis]
51. ! [X0] : ((brave(X0) | ((~brave(X0) | generous(X0)) & (~generous(X0) | brave(X0)))) & (((generou... | 0 |
If someone is not tall or not creative then susan is both wise and not tall and vice versa.
If someone is rich then paul is both not humble and not creative and vice versa.
Everyone who is either not rich or generous is not kind.
Everyone who is quiet or funny is tall or not rich and vice versa.
Everyone who is not bra... | Susan is patient. | neutral | ((?[X]:((~tall(X)|~creative(X))))<=>((wise(susan)&~tall(susan))))&
((?[X]:(rich(X)))<=>((~humble(paul)&~creative(paul))))&
(![X]:((~rich(X)<~>generous(X))=>~kind(X)))&
(![X]:((quiet(X)|funny(X))<=>(tall(X)|~rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(~brave(X)&rich(X))))&
((?[X]:((~kind(X)<~>~humble(X))))=>((~rich(sus... | patient(susan) | [] | null | 0 |
If someone is either curious or strong then john is either not curious or not tall. If mary is tall or not brave then paul is not happy or not humble. If lucy is either not humble or funny then someone is brave or calm and vice versa. Everyone who is calm or not old is old and vice versa. Everyone who is not brave or n... | John is not calm. | contradiction | ((?[X]:((curious(X)<~>strong(X))))=>((~curious(john)<~>~tall(john))))&
(((tall(mary)|~brave(mary)))=>((~happy(paul)|~humble(paul))))&
(((~humble(lucy)<~>funny(lucy)))<=>(?[X]:((brave(X)|calm(X)))))&
(![X]:((calm(X)|~old(X))<=>old(X)))&
(![X]:((~brave(X)|~happy(X))=>(curious(X)|funny(X))))&
((?[X]:((~old(X)<~>~brave(X))... | ~calm(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7274698669254474859853574
% SZS output start Proof for 7274698669254474859853574
4. ! [X0] : ((~old(X0) | calm(X0)) <=> old(X0)) [input p3]
25. ~calm(john) [input hypothesis]
41. ! [X0] : (((~old(X0) | calm(X0)) | ~old(X0)) & (old(X0) | (old(X0) & ~calm(X0)))) [nnf transformation 4]
42. !... | 0 |
Everyone who is wise or not rich is both generous and not generous.
Everyone who is kind or tall is not quiet and vice versa.
If someone is either not funny or not happy then someone is not patient or quiet and vice versa.
If susan is not curious then someone is either generous or brave and vice versa.
If someone is bo... | Lucy is tall. | entailment | (![X]:((wise(X)|~rich(X))=>(generous(X)&~generous(X))))&
(![X]:((kind(X)|tall(X))<=>~quiet(X)))&
((?[X]:((~funny(X)<~>~happy(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
((~curious(susan))<=>(?[X]:((generous(X)<~>brave(X)))))&
((?[X]:((generous(X)&creative(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((funny(X)&~strong(X... | tall(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5689693861426690714641010
% SZS output start Proof for 5689693861426690714641010
1. ! [X0] : ((~rich(X0) | wise(X0)) => (~generous(X0) & generous(X0))) [input p0]
4. ~curious(susan) <=> ? [X0] : (generous(X0) <~> brave(X0)) [input p3]
5. ? [X0] : (creative(X0) & generous(X0)) <=> ? [X0] :... | 0 |
If lucy is both not humble and not quiet then someone is not generous or not happy and vice versa. Everyone who is not old or not tall is funny and vice versa. If alice is not happy then alice is both not quiet and not funny. If someone is not rich then someone is happy or not strong. If susan is rich or not happy then... | Fred is calm. | neutral | (((~humble(lucy)&~quiet(lucy)))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:((~old(X)|~tall(X))<=>funny(X)))&
((~happy(alice))=>((~quiet(alice)&~funny(alice))))&
((?[X]:(~rich(X)))=>(?[X]:((happy(X)|~strong(X)))))&
(((rich(susan)|~happy(susan)))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:... | calm(fred) | [] | null | 0 |
Everyone who is both not brave and not generous is either not strong or generous.
If fred is not quiet or old then mary is quiet or humble.
Everyone who is tall is happy.
If fred is wise then susan is both not funny and not happy and vice versa.
Everyone who is either not old or funny is either curious or patient and v... | Alice is not quiet. | contradiction | (![X]:((~brave(X)&~generous(X))=>(~strong(X)<~>generous(X))))&
(((~quiet(fred)|old(fred)))=>((quiet(mary)|humble(mary))))&
(![X]:(tall(X)=>happy(X)))&
((wise(fred))<=>((~funny(susan)&~happy(susan))))&
(![X]:((~old(X)<~>funny(X))<=>(curious(X)<~>patient(X))))&
(((creative(lucy)|~quiet(lucy)))=>(generous(susan)))&
(![X]:... | ~quiet(alice) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8437636246802008899797711
% SZS output start Proof for 8437636246802008899797711
10. ! [X0] : ((creative(X0) & generous(X0)) <=> (~quiet(X0) | ~curious(X0))) [input p9]
11. ? [X0] : (~creative(X0) & ~curious(X0)) <=> (brave(alice) | generous(alice)) [input p10]
22. ~quiet(alice) [input hy... | 0 |
Everyone who is either calm or not tall is either tall or not brave and vice versa.
If susan is curious or not patient then someone is wise and vice versa.
Everyone who is not calm is wise or not rich and vice versa.
If paul is calm then someone is either rich or not brave and vice versa.
Everyone who is tall or not ki... | Lucy is not wise. | neutral | (![X]:((calm(X)<~>~tall(X))<=>(tall(X)<~>~brave(X))))&
(((curious(susan)|~patient(susan)))<=>(?[X]:(wise(X))))&
(![X]:(~calm(X)<=>(wise(X)|~rich(X))))&
((calm(paul))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((tall(X)|~kind(X))=>(~curious(X)|generous(X))))&
((?[X]:(wise(X)))<=>((~strong(alice)|quiet(alice))))&
(((~curio... | ~wise(lucy) | [] | null | 0 |
If someone is both not funny and not creative then someone is tall. Everyone who is not calm or not brave is happy and vice versa. Everyone who is either brave or not tall is either not rich or old and vice versa. Everyone who is tall is brave or calm and vice versa. Everyone who is either not funny or old is either ri... | Susan is calm. | neutral | ((?[X]:((~funny(X)&~creative(X))))=>(?[X]:(tall(X))))&
(![X]:((~calm(X)|~brave(X))<=>happy(X)))&
(![X]:((brave(X)<~>~tall(X))<=>(~rich(X)<~>old(X))))&
(![X]:(tall(X)<=>(brave(X)|calm(X))))&
(![X]:((~funny(X)<~>old(X))=>(rich(X)<~>~tall(X))))&
(![X]:((quiet(X)&~kind(X))=>~strong(X)))&
(((creative(susan)&~old(susan)))<=>... | calm(susan) | [] | null | 0 |
Everyone who is not humble is either strong or not generous and vice versa. Everyone who is funny is not kind or not calm. If paul is either patient or not curious then someone is creative or strong. If someone is both patient and not strong then someone is quiet and vice versa. If lucy is not strong then fred is both ... | Fred is not calm. | neutral | (![X]:(~humble(X)<=>(strong(X)<~>~generous(X))))&
(![X]:(funny(X)=>(~kind(X)|~calm(X))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy)))<=>(?[X]:(kind(X))))... | ~calm(fred) | [] | null | 0 |
If john is wise or strong then someone is both brave and not patient.
If alice is both not brave and not patient then someone is either kind or rich.
If someone is not generous then john is not rich or rich and vice versa.
Everyone who is either old or not old is either humble or curious.
Everyone who is either not bra... | Susan is not wise. | entailment | (((wise(john)|strong(john)))=>(?[X]:((brave(X)&~patient(X)))))&
(((~brave(alice)&~patient(alice)))=>(?[X]:((kind(X)<~>rich(X)))))&
((?[X]:(~generous(X)))<=>((~rich(john)|rich(john))))&
(![X]:((old(X)<~>~old(X))=>(humble(X)<~>curious(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~curious(X)|happy(X))))&
(![X]:(~creative(X... | ~wise(susan) | [
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9209920199956311459892760
% SZS output start Proof for 9209920199956311459892760
4. ! [X0] : ((old(X0) <~> ~old(X0)) => (humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (happy(X0) | ~curious(X0))) [input p4]
6. ! [X0] : (~creative(X0) <=> (~tall(X0)... | 0 |
Everyone who is either humble or old is creative or not tall.
Everyone who is either not calm or not happy is creative.
Everyone who is either strong or not funny is not strong.
Everyone who is both calm and not calm is both not funny and creative and vice versa.
Everyone who is not old or not calm is old or tall and v... | John is quiet. | contradiction | (![X]:((humble(X)<~>old(X))=>(creative(X)|~tall(X))))&
(![X]:((~calm(X)<~>~happy(X))=>creative(X)))&
(![X]:((strong(X)<~>~funny(X))=>~strong(X)))&
(![X]:((calm(X)&~calm(X))<=>(~funny(X)&creative(X))))&
(![X]:((~old(X)|~calm(X))<=>(old(X)|tall(X))))&
((?[X]:((old(X)|curious(X))))<=>(?[X]:(tall(X))))&
(((patient(mary)&~k... | quiet(john) | [
"p0",
"p3",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7280938906363081553459297
% SZS output start Proof for 7280938906363081553459297
1. ! [X0] : ((humble(X0) <~> old(X0)) => (~tall(X0) | creative(X0))) [input p0]
4. ! [X0] : ((~calm(X0) & calm(X0)) <=> (creative(X0) & ~funny(X0))) [input p3]
11. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~s... | 0 |
Everyone who is not happy is either not patient or not kind.
If paul is not happy or rich then someone is either not happy or not old and vice versa.
If mary is both not kind and not tall then fred is either not creative or kind.
Everyone who is either humble or not brave is both curious and not generous.
Everyone who ... | Lucy is happy. | entailment | (![X]:(~happy(X)=>(~patient(X)<~>~kind(X))))&
(((~happy(paul)|rich(paul)))<=>(?[X]:((~happy(X)<~>~old(X)))))&
(((~kind(mary)&~tall(mary)))=>((~creative(fred)<~>kind(fred))))&
(![X]:((humble(X)<~>~brave(X))=>(curious(X)&~generous(X))))&
(![X]:((~humble(X)|humble(X))<=>(wise(X)<~>curious(X))))&
(![X]:((kind(X)<~>wise(X))... | happy(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 243884747577112634432720
% SZS output start Proof for 243884747577112634432720
1. ! [X0] : (~happy(X0) => (~patient(X0) <~> ~kind(X0))) [input p0]
4. ! [X0] : ((humble(X0) <~> ~brave(X0)) => (~generous(X0) & curious(X0))) [input p3]
5. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (wise(X0) <~... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.